Equations, graphs, Slopes and y-intercepts : application

Answer:

If there are 350 kids for example your answers would be:

Boys: 182

Girls: 168

Step-by-step explanation:

If you add those numbers together you'll get 350 again

Answer:

Step-by-step explanation:

9.23

Answer:

Option A

Step-by-step explanation:

Given:

[tex] \sf \therefore \: cos \: 45 \degree = \frac{base}{hypotenuse} = \frac{9}{x} [/tex]

[tex] \sf \cos(45 \degree) = \frac{1}{ \sqrt{2} } [/tex]

[tex] \sf \frac{1}{ \sqrt{2} } = \frac{9}{x} [/tex]

[tex] \therefore \: \rm \: x = 9 \sqrt{2} [/tex]

The volume of the greenhouse made from a rectangular prism with a half-cylinder on top is 17869 ft³

Volume is the amount of space occupied by a three dimensional shape or object.

The volume of the rectangular prism = length * width * height = 20 * 12 * 45 = 10800 ft³

The volume of the half cylinder = (1/2) * π * (diameter/2)² * height = 0.5 * π * (20/2)² * 45 = 7069 ft³

Volume of the greenhouse = 10800 ft³ + 7069 ft³ = 17869 ft³

The volume of the greenhouse made from a rectangular prism with a half-cylinder on top is 17869 ft³

Find out more on volume at: https://brainly.com/question/12410983

Answer:

Your answer would be:

41.2

10¹ = 10

412 / 10 = 41.2

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer:

2560000 or 2.56*10^6

Step-by-step explanation:

[tex]\frac{((-4)^6)^2*(-5^2)^3}{(-4)^6*(-5)^2}[/tex]

[tex]\frac{(-4)^1^2*(-5^6)}{(-4)^6*(-5)^2}[/tex]

[tex]\frac{16777216*15625}{4096*25}[/tex]

[tex]\frac{262144000000}{102400}[/tex]

[tex]2560000[/tex]

Answer:

A = 192 units²

Step-by-step explanation:

the figure is a trapezium.

the area (A) of a trapezium is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the height between the bases and b₁, b₂ are the bases

here h = 12 , b₁ = 12 , b₂ = 20 , then

A = [tex]\frac{1}{2}[/tex] × 12 × (12 + 20) = 6 × 32 = 192 units²

The function I = 19n is a linear function

The reasonable domain of the function is [0,21]

The function is given as:

I = 19n

The smallest value of n is 0 i.e. the smallest number of ticket sold is 0

The maximum capacity is 400.

So, we have:

19n = 400

Divide both sides by 19

n = 21.05

Remove the decimals

n = 21

Hence, the reasonable domain of the function is [0,21]

Read more about domain at:

https://brainly.com/question/1770447

The Pythagoras is the sum of the square of two sides equal to the square of the longest side. The equation is x² = 16² + 63² then the correct option is D.

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

The dimensions of the triangle are 16, 63, and x.

Where x is the hypotenuse.

By the Pythagoras theorem, we have

x² = 16² + 63²

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

Answer:

D. 16 squared + 63 squared = x ^2 is the answer.

Step-by-step explanation:

Using an exponential function, it is found that 4 mg of the substance would still be left after 32 days.

A decaying exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

In this problem, considering that the initial amount if of 64 mg, and we are working with half-lifes, the equation is given by:

[tex]A(t) = 64(0.5)^t[/tex]

32 days is 32/8 = 4 half-lifes, hence the amount remaining in mg is given by:

[tex]A(4) = 64(0.5)^4 = 4[/tex]

More can be learned about exponential functions at https://brainly.com/question/25537936

Answer:

5 percent of 12 is 0.6

Step-by-step explanation:

Answer:

7/12

Step-by-step explanation:

total = 12/12

p(shot) = 5/12

p(not making shot) = 7/12

because

12/12 - 5/12 = 7/12

Hope this helped!

Answer:

Step-by-step explanation:

605/11 = x/5

11x = 3025

x = 275 miles

Answer:

275 miles

Step-by-step explanation:

Bill drove 605 miles in 11 hours , so by the formula , Speed = Distance/ time

We can find that ,

Speed = 55 miles/hours

So , In 5 hours he will drive

Distance = Speed × Time

Distance = 55 × 11

Distance = 275 miles

Answer:

volume = 527.52 in³

volume increased by 30% = 685.776 in³

Step-by-step explanation:

Volume of a cone

[tex]V=\dfrac13\pi r^2h[/tex]

(where r is the radius and h is the height)

Given:

[tex]\implies V=\dfrac13 \cdot 3.14 \cdot 6^2 \cdot 14[/tex]

[tex]\implies V=527.52 \ \sf in^3[/tex]

---------------------------------------------------------------------------

If the volume increases by 30% then it will now be 130% of the original volume.

130% as a decimal = 130/100 = 1.3

Therefore, to find the new volume, multiply the original volume by 1.3.

[tex]\implies V=527.52 \cdot 1.3[/tex]

[tex]\implies V=685.776 \ \sf in^3[/tex]

Answer:

It's 10(10+3)

Step-by-step explanation:

10x10 is 100 and 3x10 is 30 which gives you 100+30

Answer:

a) 10(10 + 3)

Step-by-step explanation:

Which expresison is equivalent to 100 + 30 (130)?

a) 10(10 + 3)

10(10) + 10(3)

100 + 30 <== equivalent

130

b) 10(10 + 2)

10(10) + 10(2)

100 + 20 <== NOT equivalent

120

c) 5(20 + 25)

5(20) + 5(25)

100 + 125 <== NOT equivalent

225

d) 10(10 + 4)

10(10) + 10(4)

100 + 40 <== NOT equivalent

140

Therefore, the correct answer is 10(10 + 3)

Hope this helps!

c) 84%

hope this helps :)

85% of take-home pay is spent on expenses option (D)85% is correct.

It is given that in the chart there are various expenses.

It is required to find the percentage of take-home pay is spent on expenses.

It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.

We have a total take-home salary = $5388

Total expenses = $4558

In percentage it can be expressed as follows:

[tex]=\frac{4558}{5388}\times100[/tex]

[tex]=0.84595\times100\\\\= 84.595 \ \%[/tex]

or ≈ 85%  (round to nearest whole)

Thus, 85% of take-home pay is spent on expenses.

Learn more about the percentage here:

https://brainly.com/question/8011401

Using a t-distribution, with 20 degrees of freedom, the critical t-value that corresponds to 95% confidence is t = 2.0860.

It is found with the help of a calculator, having two inputs:

Hence, using a calculator, with 20 degrees of freedom, the critical t-value that corresponds to 95% confidence is t = 2.0860.

More can be learned about the t-distribution at https://brainly.com/question/16162795

Answer:

Step-by-step explanation:

It could be 32m. Maybe, I'm not positive though.

Answer:

Hope you like the answer

Step-by-step explanation:

Mark me as Brilliant if you like the answer

Answer: -63.5 feet per mintue

Step-by-step explanation:

      We can look at what the problem is asking for, and solve. It says average change in altitude per minute:

[tex]\frac{altitude}{minute}[/tex] = [tex]\frac{1,524}{24}[/tex] = 63.5 feet per mintue

      Since she is hiking down the mountainside, this will be negative. We arrive at our final answer of:

      -63.5 feet per mintue

Using a system of equations, it is found that:

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

John bought 2 pens, 3 folders, and 4 notebooks for a total of $20, hence:

2x + 3y + 4z = 20.

Cindy bought 5 folders and 5 notebooks for a total of $25, hence:

5y + 5z = 25.

x + z = 5.

x = 5 - z.

Isaiah bought 3 pens, 1 folder, and 2 notebooks for a total of $11, hence:

3x + y + 2z = 11.

y = 11 - 3x - 2z

Replacing the second and the third equation on the first, we have that:

2x + 3y + 4z = 20.

2(5 - z) + 3(11 - 3x - 2z) + 4z = 20.

10 - 2z + 3[11 - 3(5 - z) - 2z] + 4z = 20.

2z + 3(11 - 15 + 3z - 2z) = 10

2z + 3(z - 4) = 10

5z = 22.

z = 4.4

x = 5 - z = 5 - 4.4 = 0.6

y = 11 - 3x - 2z = 11 - 3(0.6) - 2(4.4) = 0.4.

Hence:

More can be learned about a system of equations at https://brainly.com/question/24342899

Answer:

Yes.

Step-by-step explanation:

7 x 8= 56

9 x 8= 72

56/72 is proportional to 7/9

Answer:

[tex]\frac{56}{72}[/tex] and [tex]\frac{7}{9}[/tex] are indeed proportional

Step-by-step explanation:

In order to confirm that [tex]\frac{7}{9}[/tex] is proportional to [tex]\frac{56}{72}[/tex], you need to make sure both fractions share the same denominator. In this case, it is better to multiply 9 by a value that causes the product to be 72 than to divide 72 by a number to get to 9. 72 is eight times greater than 9, so you multiply [tex]\frac{7}{9}[/tex] by [tex]\frac{8}{8}[/tex] (This is important as you need to make sure you aren't changing the value of the fraction when multiplying a number to it, so you must be sure to multiply your fraction by the number over itself - which is essentially one - to ensure that you are keeping the value of the fraction the same) and you will get [tex]\frac{7*8}{9*8} =\frac{56}{72}[/tex], this means the fractions [tex]\frac{7}{9}[/tex] and [tex]\frac{56}{72}[/tex] are proportional.

Answer:

  3 km/h

Step-by-step explanation:

You want to know the speed of the river current if floating 36 km downstream takes 9 h longer than the trip upstream in a boat with a speed relative to the current of 15 km/h.

The relation between time, speed, and distance is ...

  time = distance / speed

If c represents the speed of the current, then 15-c is the speed upstream. The relation between the travel times is ...

  36/(15 -c) = 36/c -9

Multiplying by c(15-c), we have ...

  36c = 36(15 -c) -9(c)(15-c) . . . . . . . multiply by c(15-c)

  36c = 540 -36c -135c +9c² . . . . . eliminate parentheses

  9c² -207c +540 = 0 . . . . . . . collect terms

  c² -23c +60 = 0 . . . . . . . . divide by 9

  (c -20)(c -3) = 0 . . . . values that make the factors zero are c=20, c=3

The speed of the current is 3 km/h.

__

Additional comment

The speed of the current cannot be greater than 15 km/h, or the boat could not go upstream. The speed of the current cannot be greater than 4 km/h, or the trip downstream would take less than 9 hours.

<95141404393>

Answer:

123 this is a good idea to make sure you have the best time ever.

Answer:

  72°

Step-by-step explanation:

The required angle of rotation can be found by considering the regular polygon to be inscribed in a circle. Each of its 10 vertices will be separated by a central angle of 360°/10 = 36°. So, the vertices a8 and a4 will be separated by a central angle of (8 -4)(36°) = 144°.

The angle a4-a1-a8 is an inscribed angle, so will have half the measure of the central angle intercepting the a4-a8 arc. The desired angle of rotation to map a4 to a8 is ...

  α = 144°/2 = 72°

The value of angle α is 72° if the regular polygon is inscribed in a circle and rotation centered at a_1

A polygon is a geometric figure with a finite number of sides in two dimensions. A polygon's sides or edges are made up of straight-line segments that are joined end to end to form a closed shape. The vertices or corners are the points where two line segments meet, and an angle is generated as a result.

Consider the regular polygon to be inscribed in a circle to get the required angle of rotation.

A center angle of 360°

=360°/10 = 36°

It will separate each of its 10 vertices.

The central angle:

= (8 - 4)×(36°) = 144°

An inscribed angle is a4-a1-a8:

So α will be:

α = 144/2 ⇒ 72°

Thus, the value of angle α is 72° if the regular polygon is inscribed in a circle and rotation centered at a_1

Learn more about the regular polygon here:

https://brainly.com/question/11810316

#SPJ4

Answer:

Step-by-step explanation:

The slope-intercept form is

y

=

m

x

+

b

, where

m

is the slope and

b

is the y-intercept.

y

=

m

x

+

b

Find the values of

m

and

b

using the form

y

=

m

x

+

b

.

m

=

5

b

=

0

The slope of the line is the value of

m

, and the y-intercept is the value of

b

.

Slope:

5

y-intercept:

0

Answer: h = 3

Step-by-step explanation:

(h+1)² = 16

h+1 = √16

h+1 = 4

h = 3

Hope this helped :)

Answer:

[tex]h=3, \ h=-5[/tex]

Step-by-step explanation:

[tex](h+1)^2=16[/tex]

[tex](h+1)^2=16[/tex]

[tex]\sqrt{(h+1)^2} = \±\sqrt{16}[/tex]                    <== you take the square root of both sides

[tex](h+1) = \±\ 4[/tex]                            <== you take the square root of both sides

[tex](h+1) = +\ 4, \ (h+1) = -\ 4[/tex]    <== separate into 2 equations and solve

[tex]h+1 = 4, \ h+1 = -\ 4\\\\. \ -1 -1, \ \ \ \ -1\ \ \ \ -1\\\\h=3, \ h=-5[/tex]

Hope this helps!

Answer: 5

Step-by-step explanation:

5*5 is equal to 25

Answer:

5

Step-by-step explanation: The square root of 25 is 5 because 5x5=25 or [tex]5^{2}[/tex]=25

Answer:

[tex]\huge\boxed{\sf -2.280}[/tex]

Step-by-step explanation:

Finding value of log₃(4/49):

[tex]\displaystyle = log_{3}\frac{4}{49} \\\\= log_{3} (\frac{4}{7^2} )\\\\\underline{Using \ log \ rule \ :} \ log( \frac{a}{b} )= log \ a - log \ b \\\\= log_{3}4 - log_{3}7^2\\\\\underline{Using \ log \ rule \ : } \ log \ a ^m = m \ log \ a \\\\= log_{3}4 - 2(log_{3}7)\\\\[/tex]

Given that:

log₃4 ≈ 1.262, log₃7 ≈ 1.771

Put the values in the above expression

[tex]= 1.262-2(1.771)\\\\= 1.262 - 3.542\\\\= \bold{-2.280}\\\\\rule[225]{225}{2}[/tex]