In 2010, the population of a city was 237,000. From 2010 to 2015, the population grew by 7.6%. From 2015 to 2020, it fell by 4.7%. To the nearest whole number, by what percent did the city grow from 2010 to 2020?

Answers

Answer 1

The population of the city grew from 2010 to 2020 by 13.37 %

What is percentage?

A percentage is a number that tells us how much out of 100 and can also be written as a decimal or a fraction.

Given that, In 2010, the population of a city was 237,000. From 2010 to 2015, the population grew by 7.6%. From 2015 to 2020, it fell by 4.7%.

The population in 2015 =

A = P (1+r)ⁿ

A = final population.

P = Initial population.

r = rate

n = time

The population in 2015 =

A = 237,000(1+0.076)⁵

A = 341829.629

The population in 2020 =

A = P (1-r)ⁿ

A = 341829.629(1-0.047)⁵

A = 268704.047

Percent grow = 268704.047 - 237,000 / 237,000 × 100

= 31704.047 / 237,000 × 100

= 13.37 %

Hence, the population of the city grew from 2010 to 2020 by 13.37 %

Learn more about percentage, click;

https://brainly.com/question/29306119

#SPJ1


Related Questions

How do you find the legs of a 45 45 90 triangle given the hypotenuse?

Answers

The value of the legs of the triangle would be hypotenuse/√2.

You can use basic trigonometry to solve this problem. We know that the sine of the angle made by the hypotenuse and the base is equal to the ratio of perpendicular height and the hypotenuse, given that the angle is 45° the perpendicular will be equal to ⇒ hypotenuse × sin(45°).

That is perpendicular=hypotenuse/√2

Similarly, the cosine of the angle made by the hypotenuse and the base is equal to the ratio of base length and the hypotenuse, given that the angle is 45° the base will be equal to ⇒ hypotenuse × cos(45°)

That is base=hypotenuse/√2

Therefore, the value of the legs of the 45°-45°-90° triangle would be hypotenuse/√2.

Learn more about Trigonometry on

https://brainly.com/question/29002217?referrer=searchResults

#SPJ4

How to read linear equations?

Answers

To read a linear equation, first, identify the constants and the variable, then determine the coefficient of the variable.

A linear equation is an equation that contains two variables and can be written in the form of ax + b = 0, where 'a' and 'b' are constants and 'x' is the variable.  This coefficient will indicate how the variable is related to the constants. Then, solve the equation by isolating the variable to determine its value.

To read a linear equation, start by identifying the constants and the variable. The constant is the numerical value that is not connected to the variable. For example, in the equation "2x + 4 = 0", the constants are '2' and '4'. The variable is the letter that represents the values that can change. In this equation, the variable is 'x'.

Next, determine the coefficient of the variable. The coefficient is the numerical value in front of the variable. It represents how the variable is related to the constants. In this example, the coefficient of 'x' is '2'. This means that the value of 'x' will be twice as much as the constants.

Once the constants, variables, and coefficients have been identified, the equation can be solved.

For more questions like Linear equation click the link below:

https://brainly.com/question/19770987

#SPJ4

Which functions have an axis of symmetry of x = –2? Check all that apply.

f(x) = x2 + 4x + 3
f(x) = x2 – 4x – 5
f(x) = x2 + 6x + 2
f(x) = –2x2 – 8x + 1
f(x) = –2x2 + 8x – 2

Answers

The quadratic functions that have an axis of symmetry at x = -2 are given as follows:

f(x) = x² + 4x + 3.f(x) = -2x² - 8x + 1.

How to obtain the axis of symmetry of a quadratic function?

The standard definition of a quadratic function is given by the rule presented as follows:

y = ax² + bx + c, in which a is different of zero.

The axis of symmetry is given by the x-coordinate of the vertex, hence it's equation is defined as follows:

x = -b/2a.

Meaning that the correct options are given by the first and by the fourth options in this problem.

For the first function, we have that:

a = 1, b = 4.

Hence the axis of symmetry is obtained as follows:

x = -4/2 = -2.

For the fourth function, we have that:

a = -2, b = -8.

Hence:

x = -8/4 = -2.

More can be learned about quadratic functions at https://brainly.com/question/26865936

#SPJ1

just need help with #7. A cube has an edge length given by the variable “s” as shown. It’s surface area and volume can be given in terms of the edge length by: surface area= 6s^2 volume= s^3 Find the ratio of the surface area to the volume in simplest terms of “s”.

Answers

Surface Area : Volume = 6 : s

What is cube ?

A cube is a 3-D solid shape, which has 6 faces. A cube is one of the simplest shapes in three-dimensional space. All the six faces of a cube are squares, a two-dimensional shape.

Surface Area of a Cube = 6a² in a square units

Volume of cube = a³ cubic units

where a is the side length of the cube.

Given length of the cube = s

Surface Area of cube A = 6s²

Volume of cube V = s³

Ratio between Surface Area and volume:

Surface Area / Volume = 6s² / s³

Surface Area / Volume = 6 / s

Surface Area : Volume = 6 : s

Hence the ratio between Surface area and volume of cube is 6 : s.

Learn more about cube here:

https://brainly.com/question/29372770

#SPJ1

His coordinate grid shows where Alberto's school is located. Each unit represents one block. Alberto's house is at (3, 4). The library is located at the reflection of (3, 4) across the y-axis. Use absolute value to find the distances from Alberto's house to the school and from Alberto's house to the library

Answers

The distance from Alberto's house to the school is 4 units and from Alberto's house to the library is 6 units

Consider the following diagram.

From given coordinate grid we can observe that Alberto's school is located at point (-1, 4)

Alberto's house is at (3, 4).

And the library is located at the reflection of (3, 4) across the y-axis.

This means, the libarary is located at point (-3, 4)

We know that the absolute value is nothing but the distance between a number and zero on a number line.

The distance from Alberto's house to the school would be,

= distance between points (3, 4) and (-1, 4)

= |3 - (-1)|

= |3 + 1|

= |4|

= 4 units

And the distance between Alberto's house to the library would be,

= distance between points (3, 4) and (-3, 4)

= |3 - (-3)|

= |3 + 3|

= |6|

= 6 units

Learn more about the absolute value here:

https://brainly.com/question/13458568

#SPJ4

The complete question is:

This coordinate grid shows where Alberto’s school is located. Each unit represents one block. Alberto's house is at (3, 4). The library is located at the reflection of (3, 4) across the y-axis. What are the coordinates of the library?

How do you find the shorter leg of a 30 60 90 triangle?

Answers

The short leg of a 30-60-90 triangle is 1/2 the length of the hypotenuse. 30-60-90 triangle is the half of an equilateral triangle.

Right triangles with 30-60-90 interior angles are called special right triangles.

A 30-60-90-degree triangle is a special right triangle and its side lengths are always consistent with each other. The ratio of the sides follows the 30-60-90 triangle ratio: 1: 2: [tex]\sqrt{3}[/tex] .

Short side (opposite the 30° angle) = x

Hypotenuse (opposite the 90° angle) = 2x

Long side (opposite the 60° angle) = x√3

30-60-90 Triangle Theorem:

These three properties can be examined by the 30-60-90 triangle theorem and are unique to these special right triangles:

The hypotenuse (the triangle's longest side) is twice the length of the short leg.The length of the longer leg is the√3 times of the shorter leg.If we know the length of any one side of a 30-60-90 triangle, we can find the missing side lengths.

Read more about the right triangle :

https://brainly.com/question/1248322

#SPJ4

a smallercircle passes through the center of, and is tanget to a larger cirlc the area of the smaller circle is 9 square units. What is teh area of the larger circle in square units

Answers

36 square units make up the larger circle's surface area.

We can use the fact that the smaller circle is tangent to the larger circle and passes through its center to find the area of the larger circle. Since the radius of the smaller circle is tangent to the larger circle, the radius of the larger circle is double the radius of the smaller circle.

Let's call the radius of the smaller circle "r" and the radius of the larger circle "R". We know that R = 2r.

We know that the area of a circle is given by the formula A = πr^2.

We know that the area of the smaller circle is 9 square units, we can use this formula to find the radius:

A = πr^2 => r^2 = 9/π => r = sqrt(9/π)

Now we can use the formula of the area of a circle with R-value to get the area of the larger circle:

A = πR^2 => A = π(2r)^2 => A = 4πr^2 => A = 4π(9/π) => A = 36

So the area of the larger circle is 36 square units

To learn more about the area of the circle, refer to the link:brainly.com/question/28642423

#SPJ4

Law of sines: Which measures are accurate regarding triangle JKL? Check all that apply. M∠K = 84° m∠K = 94° k ≈ 3. 7 units k ≈ 4. 6 units KL ≈ 2. 5 units KL ≈ 3. 2 units

Answers

The median's class interval is 20 hours and 30 minutes. And the average number of hours is thought to be 26.17.

Who defines median?

The median is the exact middle value of a dataset after it has been sorted. A measure of central tendency is the distance between the bottom 50% of data and the top 50% of values. The methods for determining the median will vary depending on whether you have an odd or even number of data points.

the class interval that have  median.

total is frequency is as -

∑f = 30

median class of corresponds to half of the value

∑th is the  value

i.e.  15th value.

least cumulative frequency higher than or equal to 15 is obtained by accumulating frequencies starting at the top.

[tex]2+8+9=19[/tex]

So, corresponds to the class interval  = [tex]20 < h\leq 30.[/tex]

Hence, median class is [tex]20 < h\leq 30.[/tex]

Since this is a grouped data we use the midpoint

The median:-

To know more about median visit:

brainly.com/question/28060453

#SPJ4

Solve the system of equations using subtraction.
2x-6y = -2 - 2y
-6x - 4y = -38 -2x

Answers

Answer:

y=7/2 and x=6

Step-by-step explanation:

2x−6y=−2y−2 can be turned into x=2y−1.

Now you can substitute the equations.

−6x−4y=−2x−38

−6(2y−1)−4y=−2(2y−1)−38

Then you can simplify.

−12y+6=−36

−12y=−42

y=7/2

Then you can substitute y to find x.

x=2y−1

x=2(7/2)-1

x=6

And then our answers are y=7/2 and x=6.

Hope this helped! :)

Piper has a coin collection. She keeps 12 of the coins in her box, which is 2% of the collection. How many total coins are in her collection?

Answers

The total number of coins Piper has in her collection is 100 coins.

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, Piper has a coin collection. She keeps 12 of the coins in her box, which is 2% of the collection.

Let, The total number f coins in the box be 'x'.

Therefore, 2% of 'x' is 12 which can be numerically expressed as,

(2/100)×x = 12.

0.02x = 12.

x = 2/0.02.

x = 100.

So, She has 100 coins in her box.

learn more about percentages here :

https://brainly.com/question/24159063

#SPJ1

PLS HELP WILL MARK BRAINEST

Answers

Answer:

Step-by-step explanation:

Answer is choice A

Both functions are decreasing at a rate of -2. You can find this by finding the slope.

HELP PLEASE!!!!!!!!!!!!!!!

Answers

Answer:

Its the second image

Step-by-step explanation:

P=-3w+9 solve for w
Pls help

Answers

Isolating for a variable: rearranging an equation so that a variable is on its own. This is done by performing inverse operations until a variable is isolated.

[tex]P-9=-3w+9-9[/tex]

[tex]p-9=-3w[/tex]

[tex]\frac{p-9}{-3}=\frac{-3w}{-3}[/tex]

[tex]-\frac{P-9}{3} =w[/tex]

PLEASE HELP!!! WILL AWARD BRAINLIEST!!!

Use the box plots comparing the number of males and number of females attending the latest superhero movie each day for a month to answer the questions.

Top data set labeled males, minimum at 1, Q1 at 3, median at 11, Q3 at 14, maximum at 21, and an outlier at 30.

Bottom data set labeled females, minimum at 0, Q1 at 15, Median at 18, Q3 at 21.

Part A: Estimate the IQR for the males' data. (2 points)


Part B: Estimate the difference between the median values of each data set. (2 points)


Part C: Describe the distribution of the data and if the mean or median would be a better measure of center for each. (4 points)


Part D: Provide a possible reason for the outlier in the data set. (2 points)

Use the box plots comparing the number of males and number of females attending the latest superhero movie each day for a month to answer the questions

Answers

The estimated IQR for the males dataset is 24 , the estimated difference between median value of each dataset is 14.

What is median ?

The median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution in statistics and probability theory. It can be regarded as "the middle" value for a set of data.

When a dataset is ordered, the median value is the one that appears exactly in the middle of the dataset. Depending on whether you have an odd or an even number of data points, there are different processes to take when calculating the median.

In a collection of numbers, the median is the value in the middle. A series of numbers must first be sorted, or arranged, in value order from lowest to highest or highest to lowest in order to find the median value.

A. IQR  for male dataset

The IQR is calculated as follows:

IQR = Q3 - Q1

      =

For the male's data:

IQR = Q3 - Q1

      = 25 - 1

      = 24

Hence, the IQR of the male dataset is 24.

B. Difference in median values

We have:

median = 20 ----- Male dataset                                                    

median = 6  ----- Female dataset

So, the difference (d) is:

d = 20 - 6

  = 14

Hence, the difference in median of both dataset is 14.

C. Best measure of center

The female box plot has an outlier. This means that the measure of center to use for the female dataset is the median.

The male box plot has no outlier; this means that the mean can be used as a measure of center for the male box plot

D. Reason for outlier

There are several reasons that could cause an outlier in a dataset. One of the reasons is human error during data entry.

To learn more about median from the given link  

https://brainly.com/question/26151333

#SPJ4

How many solutions does 5x 2 7x 4 0 have?

Answers

The given equation gives two solution. We can find solution by using quadratic formula or discriminant.

How do you find the number of solutions?

A linear equation in two variables is an equation of the form ax + by + c = 0 where a, b, c ∈ R. So a and b ≠ 0. When we consider a system of linear equations we can find the number of solutions by comparing the coefficients of the variables of the equations.

How do you find how many solutions are in a quadratic equation?

if the discriminant is positive. Then the quadratic equation has two solutions.

if the discriminant is equal. Then the quadratic equation has one solution.

if the discriminant is negative. Then the quadratic equation has no solution.

Here we have

a=5    b=-7   c=4

Disc= [tex]b^2[/tex]-4ac

Disc= [tex](-7)^2[/tex]-4(5)(4)

Disc= 49+80

      =129

Disc >0    it has two solutions.

To learn more about quadratic solutions visit;

brainly.com/question/29009587

#SPJ4

Complete question is: How many solutions are there for 5x^2+7x-4=0?

a) 0

b) 1

c) 2

d) 3

The rectangular floor of a classroom is 24 feet in length and 40 feet in width. A scale drawing of the floor has a length of 6 inches. What is the area, in square inches, of the floor in the scale drawing?


HURRYYYYYYYYYYY

Answers

The area of the floor in the scale drawing is 60 inches²

What is a rectangle?

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

Actual rectangular floor.

Length = 24 feet

Width = 40 feet

Scale rectangular floor.

Length = 6 inches

Width = 40/4 = 10 inches

The area of the scale rectangular floor.

= Length x Width

= 6 x 10

= 60 icnhes²

Thus.,

The area of the floor is 60 inches².

Learn more about rectangles here:

https://brainly.com/question/15019502

#SPJ1

Why are 3 4 5 and 5 12 13 Pythagorean triples?

Answers

A Pythagorean triple is a set of three positive integers a, b, and c that satisfies the equation a2 + b2 = c2.

In this case, the triple is (3, 4, 5) and (5, 12, 13).

The equation for the first triple is 32 + 42 = 52.

3² = 9

4² = 16

9 + 16 = 25

25 = 25

The equation for the second triple is 52 + 122 = 132.

5² = 25

12² = 144

25 + 144 = 169

169 = 169

Therefore, both sets of numbers are Pythagorean triples because they both satisfy the equation a2 + b2 = c2.

Learn more about Pythagorean triple here:

https://brainly.com/question/15190643

#SPJ4

Find three consecutive numbers such that the sum of twice the first, three times the second and four times the third togetherbmakes 191.​

Answers

Answer:

find 3 consecutive numbers such that twice the first , 3 times the second and 4 times the third together make 191 ?

Let n-1,n and n+1 be three consecutive numbers.

Given

2(n-1)+3n+4(n+1)=191

2n-2+3n+4n+4=191

9n+2=191

9n = 189

n = 21

So, n-1=20 and n+1=22

So the answer is 20,21,22

[tex] \huge \bold{\color{red}{ANSWER}}[/tex]

[tex]\pmb { \orange{Given }:} \sf{ Three \: Consecutive \: numbers}[/tex]

[tex]\pmb{\orange{To find}: } \sf{Least \: of \: the \: numbers}[/tex]

[tex]\pmb{\orange{Solution}: }[/tex]

[tex]\sf{Let \: the \: three \: consecutive \: numbers \: be }[/tex]

[tex] \sf\red x, \red {x+1}, \red{x+2}[/tex]

[tex]\sf{Twice \: the \: number = 2\red x}[/tex]

[tex]\sf{3 \: times \: the \: Second \: number = 3(\red{ x+1})}[/tex]

[tex]\sf{4 \: times \: the \: third \: number= 4(\red {x+2})}[/tex]

according to question

[tex] \pmb{2\red x + 3(\red{x+1})+4(\red{x+2})= 191}[/tex]

[tex] \pmb{2\red{x} + 3\red{x}+3+4\red{x}+8= 191}[/tex]

[tex] \pmb{9\red{x}=191-11 = 180}[/tex]

[tex] \pmb{\red{x}=20}[/tex]

[tex] \sf{∴the \: three \: Consecutive \: numbers \: are} [/tex]

[tex] \pmb{\pink{20}, \pink{21}, \pink{22}}[/tex]

_________________......

[tex] \purple{ \pmb{LearningLifeII}}[/tex]

Suppose y varies directly with x, and y = 6.5 when x = 1.3. What direct variation equation relates x and y ?

Select one:

a.
y = − 5x


b.
y = x / 5


c.
y = 5x


d.
y = 1.5x

Answers

Answer:

c

Step-by-step explanation:

given y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

to find k use the condition y = 6.5 when x = 1.3

6.5 = 1.3k ( divide both sides by 1.3 )

5 = k

y = 5x ← equation of variation

at a certain high school, the distribution of backpack weight is approximately normal with mean 19.7 pounds and standard deviation 3.1 pounds. a random sample of 5 backpacks will be selected, and the weight, in pounds, of each backpack will be recorded. For samples of size 5, which of the following is the best interpretation of P\left(\overline{x}>22\right)\approx0.05P(x>22)≈0.05?

Answers

The Normal probability for all sample of 5 that the sample mean will be greater than 22 pounds is approximately 0.05. In this Question The normal probability distribution and the central limit theorem were used.

What is Normal probability distribution?

The most prevalent continuous probability distribution is the Normal (or Gaussian) distribution. As the curve becomes closer to zero on either side of the mean, the function calculates the likelihood that a given event will fall between any two real number limits. The area under the normal curve is always one.

Central limit theorem

The central limit theorem implies that the distribution of the sample means will be roughly normally distributed if you have a population with mean and standard deviation and take sufficiently enough random samples from the population with replacement.

Normal probability distribution, ; Problems of normally distributed samples are solved using the z-score formula.

Mean standard deviation , the z-score of a measure X is given by:

Z = x-μ/σ

Given ,

The distribution of backpack with mean deviation = 19.7 pounds

And the standard deviation = 3.1 pounds

The number of standard deviations is measured by the Z-score. The average is used as the measure.

We glance at the z-score table after determining the Z-score to determine the p-value connected to it.

The likelihood that the measure's value is less than X, or the percentile of X, is represented by this p-value.

1 is subtracted from the p value.

We calculate the likelihood that the measure exceeds X.

P(ä > 22) is the probability of the sample means being above 22.

For all samples of size 5, the probability that the sample mean will be greater than 22 pounds is approximately 0.05.

To know more about Normal probability visit:

brainly.com/question/26822684

#SPJ4

please help: find m∠BCF​

Answers

Step-by-step explanation:

so, clearly, the triangles BCF and DCF are congruent.

that makes the line CF a bisector of the kite figure.

and so, both angles are identical halves of the total angle at C.

therefore,

3x + 13 = 13x - 7

13 = 10x - 7

20 = 10x

x = 20/10 = 2

Samera placed the congruent sides of these two triangles together to form a quadrilateral.
2 triangles are connected at one side. One triangle has angles 25 degrees, 125 degrees, 30 degrees. The other triangle has angles 30 degrees, 60 degrees, and 90 degrees.

Which statements are true of the quadrilateral she constructed? Select three options.
It is a rectangle.
It is a trapezoid.
It has only one right angle.
It has two right angles.
It has two sides that are parallel.

Answers

The correct statements are It is a trapezoid, It has only one right angle, It has two sides that are parallel.

What is a trapezoid?

A quadrilateral with at least one pair of parallel sides is called a trapezoid.

Given that, Samara placed the congruent sides of these two triangles together to form a quadrilateral.

2 triangles are connected at one side. One triangle has angles 25 degrees, 125 degrees, 30 degrees. The other triangle has angles 30 degrees, 60 degrees, and 90 degrees.

If we construct such quadrilateral, we will get a trapezoid with one angle a right angle.

Hence, the correct statements are It is a trapezoid, It has only one right angle, It has two sides that are parallel.

Learn more about trapezoid, click;

https://brainly.com/question/8643562

#SPJ1

Answers:

1. B its a trapezoid

2. D it has two right angles

3. E it has 2 sides that are parallel

Step-by-step explanation:

Distribute and then combine the like terms to simplify each expression.

8f - 6 (-5 - 7f)

please help

Answers

Answer: We start by distributing the -6 to the terms inside the parentheses:

8f - 6(-5) - 6(7f)

Then we simplify each term inside the parentheses:

8f + 30 + 42f

Now we combine like terms:

8f + 30 + 42f = 50f + 30

So the simplified expression is 50f + 30

Step-by-step explanation:

Alex has five cups of strawberries. He wants to use 1 3/4 cups of strawberries for a fruit salad and 3 1/2 cups for jam. Does Alex have enough strawberries to make both recipes? Solve this problem any way you choose. Grade 5​

Answers

Alex has five cups of strawberries and wants to use 1 3/4 cups of strawberries for a fruit salad and 3 1/2 cups for jam. Alex has enough strawberries to make both recipes.

To check if Alex has enough strawberries, we add the amount of strawberries needed for the fruit salad (1 3/4 cups) and the amount needed for the jam (3 1/2 cups)

1 3/4 cups + 3 1/5 cups

= 1 + 3/4 + 3 + 1/5

Multiplying 3/4 with 5/5 and 1/5 with 4/4 to make denominator equal

= 1 + 15/20 + 3 + 4/20

= 4 + 19/20

= 4 19/20 cups

4 19/20 is less than 5 cups. So Alex has enough strawberries for both recipes.

To know more on addition of mixed fraction

https://brainly.com/question/29505222

#SPJ4

The scattered plot below shows the relationship between the total calories a meal has and the number of calories from fat.

If a meal has 300 calories from fat, how many total calories would you expect it to have?

Answers

Total 400 calories is expected to have a meal has 300 calories from fat  the relationship between the total calories a meal has and the number of calories from fat .

what is scatterplot ?

A scatter plot is a collection of dots that have been plotted along a horizontal and vertical axis. Statistics uses scatter plots because they can display the degree of connection, if any, between values of observable quantities or events (called variables). There are points on a scatter (XY) plot that depict the connection between two sets of data. The sample illustrates the weight and height of one person for each dot. Data points are plotted on a horizontal and vertical axis using scatter plots in an effort to demonstrate the degree to which one variable is influenced by another. The values of the columns selected on the X and Y axes determine where each row in the data table is represented by a marker, whose position.

given

300 calories from fat

total = 100 + 100 + 200

= 400 calories

Total 400 calories is expected to have a meal has 300 calories from fat  the relationship between the total calories a meal has and the number of calories from fat .

To know more about scatterplot visit :-

https://brainly.com/question/30017616

#SPJ1

what is 8 1/4 divided by d=2/11

Answers

First you need to convert 8 1/4 to an improper fraction which is 33/4. Next you need to flip 2/11 to it’s reciprocal to get 11/2 then you multiply the two fractions to get 45 3/8

Please mark brainliest I need three more!!!!!!!!!

When 8[tex]\frac{1}{4}[/tex] is divided by 2/11, we get 45[tex]\frac{3}{8}[/tex].

What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is the statement -

"8[tex]\frac{1}{4}[/tex] divided by 2/11"

We can write it as -

x = {8[tex]\frac{1}{4}[/tex]} ÷ {2/11}

x = 33/4 x 11/2

x = 363/8

x = 45[tex]\frac{3}{8}[/tex]

Therefore, when 8[tex]\frac{1}{4}[/tex] is divided by 2/11, we get 45[tex]\frac{3}{8}[/tex].

To solve more questions on expressions, visit the link below -

brainly.com/question/1041084

#SPJ2

Why is the sine of an acute angle less than one?

Answers

The sine of an acute angle is less than one because it is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse in a right triangle. Since the side opposite the angle is shorter than the hypotenuse, the ratio is always less than one.

To what does sin equate?

In contrast to the cosine of an angle, which corresponds to the ratio of the nearby side to the hypotenuse, the sine of an angle is the ratio of the opposite side to the hypotenuse.

It's also the same reason why the cosine of an acute angle is always less than one because it is the ratio of the adjacent side of the angle to the hypotenuse.

It's important to note that this is only true for acute angles, angles smaller than 90 degrees.

For obtuse angles, greater than 90 degrees, the sine and cosine values are greater than one.

Learn more about sin angle

https://brainly.com/question/68324

#SPJ4

In our class there are 40 boys. 22 students are girls write a ratio comparing girls to boys

Answers

Answer:

Its 22:40

Step-by-step explanation:

Answer: 22:40
Pretty simple

Step-by-step explanation:

what are the coordinates of the center of the center and the length of the radius of the circle whose equation is x^2 y^2

Answers

The coordinates of the center of the circle and the radius length of the specified circle are (-3,2) and 6 units, respectively.

What is circle?

A circle is a shape formed by all points in a plane that are at a particular distance from the center. It is the curve sketched out by a point moving in a plane so that its distance from a particular point remains constant. A circle is a closed two-dimensional object in which the set of all the points in the plane is equidistant from a particular point called "centre". The line of reflection symmetry is formed by every line that travels through the circle. It also features rotational symmetry around the center for all angles.

Here,

x²+6x+9-9+y²-4y+4-4=23

(x+3)²-9+(y-2)²-4=23

(x+3)²+(y-2)²=36

(x+3)²+(y-2)²=6²

center=(-3,2)

radius=6

The coordinates of the center of the center and the length of the radius of the given circle is (-3,2) and 6 units.

To know more about circle,

https://brainly.com/question/26533660

#SPJ4

10. Find the degree of the monomial. 7m^6n^5


11
6
7
5

Answers

Answer:

  (a)  11

Step-by-step explanation:

You want the degree of the monomial 7m^6n^5.

Degree

The degree of a monomial is the sum of the exponents of its variables.

  m has an exponent of 6

  n has an exponent of 5

The degree is 6+5 = 11.

Other Questions
According to Morgan's research, top-level athletes form a psychological profile known as thea. iceberg profileb. inverted-U profilec. U-shaped profiled. peak performance profilee. Morgan profile what emotions do you think douglass tries to evoke from readers by presenting these incidents together Which of the following would NOT be considered in the scope of organizational compliance efforts?A. LawsB. Company policyC. Internal auditD. Corporate culture To determine population growth or decline, is the sex ratio constructed for all cohorts or only for the reproductive cohorts? Batman shoots a grappling hook34.6 m/s at an 80.2 angle. What is the magnitude only (no direction) of the velocity of the hook 1.09 s later?(Unit = m/s) ) For comparison with other years and with other countries, we prefer a histogram of the percentages in each age class rather than the countries. Explain why. the swim team trains 4 days every week. Mon, Tues, and Thurs, the swim tea spends 1/2h in the gym followed by 1 1/4 in the pool. On Saturday there is no gym work but double the swim team time. how many hours per week does the team train? What happens when,a) Hydrogen gas is bubbled into acidified potassium permanganate solution?b) Some piece of zinc are added into acidified permanganate solution?c) Hydrogen gas is bubbled into acidified potassium dichromate solution?d) Some pieces of zinc are added in acidified potassium dichromate solution?e) Hydrogen gas is bubbled into acidified ferric chloride solution?f) Some piece of zinc are added into acidified ferric chloride solution?Add the required chemical reactions as well 3) What is the first indication for Franz that a major conflict is developing?A) The atmosphere at school is oddly quiet and still.B) M. Hamel is speaking quietly and sadly rather than yelling.C) Prussian soldiers are drilling along his route to school.D) M. Hamel is wearing his special green outfit. 3/8 = 8/X still not able to solve. Can you me how to solve by breaking down? The design for the new electric car had been approved by the board and production was underway, but the VP of Manufacturing was nervous about the rate of defective parts from subcontractors. He scheduled a meeting with a key supplier and wants to present evidence of how many months the Master Cylinder defects were greater than 20. What formula should be entered in cell C28 to get this information What is the measurement of expired CO2 that typically provides a numeric display of the partial pressure of CO2 in torr or mmHg The type of grievances outlined by the author in the passage were similar contributing factors in the outbreak of which of the following revolutions Which of the following examples is the result of mining raw data to produce useful information?1.A printout of all sales taken from the register at the end of the day2.An Excel spreadsheet listing all employees and their annual salaries in a random order3.Raw data from questionnaires given at the mall4.Netflix providing you with a list of videos you might enjoy How much force is necessary to raise a 150n crate up a ramp to a 4m loading dock if 600 j or work are performed How can you be a hero in your own Why? What was the purpose of Montesquieu's idea for separating government's powers into three branches? The following questions refer to the hypothetical reaction A + B products. The kinetics data given can be analyzed to answer the questions. [A]0 [B]0 Rate of decrease (mol/L) (mol/L) of [A] (M/s) 5.0 5.0 X 10.0 5.0 2X 5.0 10.0 2X Time (s) [B] (mol/L) 10.0 100 20.0 100 30.0 100 62. The rate law for the reaction is Rate = k[A]x[B]y. What are the values of x and y? A) x = 0 y = 1 B) x = 1 y = 0 C) x = 1 y = 1 D) x = 2 y = 1 E) x = 1 y = 2 What policy did John Hay propose to open up trade with China? Write an expression that will cause the following code to print "greater than 20" if the value of user_age is greater than 20.