The quadratic function is y = 1/3(x + 2)^2 - 5
How to determine the quadratic functionThe parent function of a quadratic function is represented as
y = x^2
From the question, we have the following parameters that can be used in our computation:
vertical shrink of 1/3, shifts left 2 and down 5.
This means that
y = a(x + h)^2 + k
Where
a = 1/3
h = 2
k = -5
So, we have
y = 1/3(x + 2)^2 - 5
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What is the surface area of the prism?
The surface area of the prism is 60 sq meters.
What is a cuboid?A cuboid is a three-dimensional closed figure which has volume along with surface area.
The volume of a cuboid is the product of its length, width, and height.
We know, The total surface area of a cuboid is 2(lw + wh + wl) and the lateral surface area is 2(l + w)×h.
Given prism has 9 m of length, 6 m of width, and 2 m of height.
Therefore, The surface area of the prism is,
= 2(9 + 6)×2 sq meters.
= 2×15×2 sq meters.
= 60 sq meters.
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Graph the line that passes through the two points. (0, 0), (13, 73) find the slope
Answer:
m = 73/13
Step-by-step explanation:
Slope = rise/run or (y2 - y1) / (x2 - x1)
(0, 0), (13, 73)
We see the y increase by 73 and the x increase by 13, so the slope is
m = 73/13
Alicia hikes to see a waterfall. She records the weight of the items she put in her backpack in a table. Alicia's camera weighs 1\dfrac35\text{ kg}1 5 3 kg1, start fraction, 3, divided by, 5, end fraction, start text, space, k, g, end text less than her lunch. Record the weight of Alicia's camera in the table.
The weight of Alicia's camera is 8/5 kg. We can record this value in the table.
What is a fraction?
A fraction is a number that represents a part of a whole. It is expressed as a ratio of two numbers, where the top number is called the numerator and the bottom number is called the denominator.
We need to record the weight of Alicia's camera in the table. We know that the weight of her lunch is greater than the weight of her camera, and we know that the weight of her lunch is 2 kg. Therefore, the weight of her camera must be less than 2 kg.
We are also given that the weight of her camera is 1\dfrac35 kg. To convert this mixed number to an improper fraction, we can multiply the whole number (1) by the denominator of the fraction (5) and add the numerator (3), and then put the result over the denominator:
[tex]1\dfrac35 = \dfrac{1\times5+3}{5} = \dfrac{8}{5}[/tex]
Therefore, The weight of Alicia's camera is 8/5 kg. We can record this value in the table.
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There are 4,000 books in the town's library. Of these, 2,400 are fiction. To find the percent of the books that are fiction, set up the percent equation.
Answer: 60%
Step-by-step explanation:
2,400/4,000 x 100/1
0.6 x 100 = 60%
find the probability of rolling two dice and getting 1’s on both.
a. 1/30
b. 1/60
c. 1/2
d. 1/36
Answer:
d. 1/36
Step-by-step explanation:
as total outcomes is 36
and we can get 1 on both the dice just once
Nellie spit 11 pieces of candy equally among ffriends. Which expression shows how many pieces of candy each friend received?
Answer:
11/x because split is the same as divide so she split 11 pieces with x people
Step-by-step explanation:
What does a Perpendicular Bisector Mean?
Answer
lines passing through the midpoint of each side which are perpendicular to the given side
Step-by-step explanation:
Two parallel lines are cut by a transversal as shown below.
Suppose m3=41°. Find m6 and m2 8.
Since the two parallel lines are cut by a transversal and m∠3 = 41°, the measure of angles m∠6 and m∠8 include the following:
m∠6 = 139°.
m∠8 = 139°.
What are parallel lines?In Mathematics, parallel lines are two lines that are cut through by a transversal and they always have the same (equal) distance apart and never meet.
What is the Alternate Interior Angles Theorem?In Mathematics, the Alternate Interior Angles Theorem states that when two (2) parallel lines are cut through by a transversal, the alternate interior angles that are formed are congruent:
m∠3 = m∠5 (alternate interior angles)
m∠5 + m∠6 = 180° (linear pair postulate).
41° + m∠6 = 180°.
m∠6 = 180° - 41°
m∠6 = 139°
m∠6 = m∠8 (vertical angles theorem).
m∠8 = 139°.
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Devi scored 66 marks for her first class test and
72 marks for her second class test. What is the
minimum mark she must score for her third class
test to meet her target of obtaining an average of
75 marks or more for the three tests?
Answer:
She must score an 87 to obtain an average of 75.
Step-by-step explanation:
(66+72+x) / 3 = 75
x = 87
How is Purdue GPA calculated?
The Grade Point Average at Purdue University is determined using a 4.0 scale (GPA).
By using the Grade Point Average at Purdue University is determined using a 4.0 scale (GPA). By allocating each course a specific number of credit hours, which is normally decided by the number of hours the course meets per week, the GPA is generated. The student's letter grades for each subject are then translated into a number value on a 4.0 scale, as seen below:
A = 4.0 A- = 3.67 B = 3.0 B- = 2.67 C = 2.0 C- = 1.67 D = 1.0 F = 0.0
The sum of the products of the credit hours and the numerical values of the letter grades obtained is used to compute the student's GPA after each letter grade has been given a numerical value.
The Grade Point Average at Purdue University is determined using a 4.0 scale (GPA). By allocating each course a specific number of credit hours, which is normally decided by the number of hours the course meets per week, the GPA is generated.
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73 Kilogram (kg) equals how many pounds (lbs)
The conversion of 73 Kilogram (kg) pounds (lbs) is 160.9358 lbs
Conversion of kilogram to pounds.The standard metric conversion of a unit weight from one S.I. unit to another follows a standard approach that is universally acceptable and timeless. For the conversion of 1 kilogram to pounds, 1 kg is equivalent to 2.2046 lbs.
To convert 73 kilograms to pounds, multiply 73 kilograms by 2.2046 lbs. Mathematically;
[tex]=73 \ kg \times \dfrac{2.2046 \ lbs}{1 \ kg}[/tex]
Cancel the common units
[tex]=73 \times \dfrac{2.2046 \ lbs}{1}[/tex]
= 160.9358 lbs
Therefore, we can conclude that the conversion of 73 kilograms (kg) to metric pounds (lbs) is 160.9358 lbs.
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A student needs at least three notebooks and three pencils. Notebooks cost #60 and pencils #36 and the student has #360 to spend. The student decides to spend as much as possible of his #360. a How many ways can he spend his money? b Does any of the ways give him change? If so, how much?
Answer:
Two ways.
(1) 4 notebooks,3 pencils, have change $12;
(2)3 notebooks, 5 pencils, have no change.
Step-by-step explanation:
set student buy x notebooks and y pencils,
x≥3,y≥3,
60x+36y≤360
if x=3, 180+36y≤360
36y≤180
y≤5
and y≥3, so y={3,4,5}
(1)when y=3, 60x≤360-36x3=252, x≤4.2,so x=4,
and change=360-36x3-60x4=12
(2)when y=4, 60x≤360-36x4=216, x≤3.6,so x=3,
and change=360-36x4-60x3=36, since student have to spend as much as possible of his money, $36 can buy a pencil, so this is not accepted.
(3)when y=5, 60x≤360-36x5=180, x≤3, so x=3,
and change =360-36x5-60x3=0
The student has two ways to spend his money on notebooks and pens. In one option, she can buy 4 notebooks and 3 pens and in the other option she can buy 3 notebooks and 5 pens.
How to find the possibilities of the student to buy pens and notebooks?To find the student's possibilities to buy pens and notebooks we must take into account his total budget of $360. Additionally, the values of the notebooks and pens that are: $60 and $36 respectively.
We must multiply the value of the notebooks by the number of notebooks that we believe the student can buy, this would be a range between 3 and 4 notebooks. Additionally, once we decide the number of notebooks we can divide the remaining money in the value of the pens to find the number of pens that the student can buy. According to the above:
4 * 60 = 240360 - 240 = 120120 / 36 = 3,33336 * 3 = 108108 - 120 = 123 * 60 = 180360 - 180 = 180180 / 36 = 55*36=180Learn more about notebooks in: https://brainly.com/question/29462625
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How to Find the Value of Square Root of 9?
The value of the square root of 9 is 3.
The square root of a number is the value that, when multiplied by itself, gives the original number. In this case, we want to find the square root of 9.
We can start by finding the perfect squares that are less than 9. The perfect squares less than 9 are 1 and 4. We can see that 3 is between these two numbers, so the square root of 9 must be somewhere between 1 and 3.
We can test whether 3 is the square root of 9 by squaring it: 3 x 3 = 9. This confirms that 3 is indeed the square root of 9.
Another way to find the square root of 9 is to use a calculator or a mathematical formula. The formula for finding the square root of a number is √x = y, where y is the square root of x. In this case, x is 9, so we have √9 = 3.
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I need help with this please and thank you.
The given expression is a fifth-degree polynomial.
When does an expression represent a polynomial?An expression represents a polynomial when these following conditions are satisfied:
Integer exponents.Non-negative exponents.The exponents for this problem are given as follows:
5, 2 and 1.
Hence the function represents a polynomial, of the fifth degree, as the highest exponent is of 5.
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Find the area of the polygon?
The area of the polygon will be equal to 58.1 square units.
What is an area of a polygon?A polygon's area is the region that it occupies. Polygons can be both regular and irregular in shape. Triangles, squares, rectangles, pentagons, hexagons, and other basic polygons are used in geometry. Each of these polygons has its own area.
A pentagon is a given polygon. The apothem is the perpendicular line drawn from the octagon's midpoint to the base of one of its sides.
The formula for determining the area of a regular polygon is expressed as
Area = a² × n × tan 180/n
Where n represents the number of sides of the polygon.
n = 5
Area = 4² × 5 × tan(180/5)
Area = 80 × tan 36
Area = 58.1 Square units
Hence, the polygon will have an area of 58.1 Square units.
The missing image is attached with the answer below.
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Suppose a population of deer in a state is 15,000 and is growing 3% each year. Predict the population after 12 years.
A- about 540,000 deer
B- about 349,471 deer
C- about 21,386 deer
D- about 7,971,615,000 deer
Answer: B- about 349,471 deer.
To calculate the population after 12 years, we can use the formula:
N = N0 * (1 + r)^t
where N0 is the initial population (15,000), r is the growth rate (3%), and t is the number of years (12).
Plugging in the values:
N = 15,000 * (1 + 0.03)^12 = 15,000 * 1.95863 = 29,379.45 ≈ 349,471
Step-by-step explanation:
How do I convert 3/4 to a percentage?
The ratio 3:4 into percentage is 75%.
3/4 is expressed as 75% in terms of percentage.
Percentage:
In mathematics, a percentage is a number or ratio that represents a fraction of 100. This is one way of representing a dimensionless ratio between two numbers. Other methods include ratios, fractions, and decimals. Percentage is often indicated by writing a "%" sign after the number.
According to the Question:
The fraction 3/4 to an equivalent fraction with the denominator equal to 100
(3 × 25) / (4 × 25) = 75/100
Now,
75/100 is expressed as 75% in terms of percentage.
Another simple way to convert a fraction to a percentage is by multiplying the fraction by 100.
In this case, 3/4 × 100 = 75%
Thus, 3/4 is expressed as 75% in terms of percentage.
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What is the surface area of the square pyramid net?
The surface area of a square pyramid net can be found by adding the areas of the base and the four triangular faces.
First, find the area of the base by multiplying the length and width of the square base.
Area of base = length × width
Next, find the area of one of the triangular faces by using the formula:
Area of triangle = 0.5 × base × height
Since there are four triangular faces in a square pyramid, multiply the area of one triangle by four to find the total area of the triangular faces.
Area of triangular faces = 4 × (0.5 × base × height)
Finally, add the area of the base and the area of the triangular faces to find the total surface area of the square pyramid net.
Surface area = Area of base + Area of triangular faces
= (length × width) + (4 × (0.5 × base × height))
= (length × width) + (2 × base × height)
So, the surface area of a square pyramid net is the sum of the area of the base and the area of the four triangular faces.
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Which of the following represents the total area of the figure? 222 cm2 240 cm2 258 cm2 294 cm2
The composite figure has a total area of 258 square centimeters.
B. 258 cm2What is the composite figure's area?The diagram is the made up of a rectangle and two triangles.
A triangle's area is given by the formula
Triangle 1
= 1/2 x base x height.
= 1/2 × 4 × 12
= 24
Triangle 2
= 1/2 × 12 × 3
= 18
Area of a rectangle
= length x width
= 18 × 12
= 216
The total area
= 24 + 18 + 216
= 258 squared centimeter
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a 12 inch pizza is divided into 10 slices. what is the length of the crust from one slice?
Answer:
Each crust is 1.2 inches
Step-by-step explanation:
12/10 is 1.2
Answer:
Each crust is 1.2 inches.
Step-by-step explanation:
12 ÷ 10 = 1.2
Hope this Helped! HAVE A GOOD DAY!!!!!!!!!!
Number of Mini Muffins
12
Price (dollars)
5.40
Amari bought 12 mini muffins for $5.40.
At this rate, what is the price of 4 mini muffins?
Use the table if it helps you with your thinking.
1.10
วว
dollar
Answer:
$1.80 per 4 mini muffins
Step-by-step explanation:
12 mini muffins = 5.40
divide by 3
4 mini muffins = 1.80
:]
If f(x) = ln(1 - x), then find f '(x).
1 over the quantity 1 minus x
(1 - x)2
1 over the quantity 1 minus x squared
1 over the quantity x minus 1
The required derivative of f(x) = ln(1 - x) is f'(x) = -1 / (1 - x).
What is derivative?A derivative is a two-party contract whose price or value is based on an underlying asset. Futures, options, forward contracts, and swaps are the four most popular types of derivatives. It is a financial instrument whose price and value are determined by the underlying assets.
According to question:The derivative of the natural logarithmic function is given by:
d/dx [ln(u(x))] = 1/u(x) * du/dx
So, to find the derivative of f(x) = ln(1 - x), we need to find the derivative of the inside function, which is 1 - x:
f'(x) = 1/[1 - x] * d/dx [1 - x]
= 1/[1 - x] * (-1)
= -1 / (1 - x)
So the derivative of f(x) = ln(1 - x) is f'(x) = -1 / (1 - x).
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Solve the system of two linear equations below graphically y= -x + 1 y= -1/3x + 3
(-3, 4) is the solution to the given system of simultaneous equation
Solving system of equation graphically.Given the system of equation
y = -x + 1
y = -1/3x + 3
When solving graphically, the point of intersection of both lines on an xy plane is the solution to the system of equation.
According to the graph attached, the solution to the system of equation is (-3, 4).
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Keshawn is 1.45 meters tall. At 12 noon, he measures the length of a tree's shadow to be 15.05 meters. He stands 10.8 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.
If Keshawn is 1.45 meters tall. At 12 noon, he measures the length of a tree's shadow to be 15.05 meters. the height of the tree to the nearest hundredth of a meter is 2.02 meters.
How to find the height?To find the height of the tree, we can use the similar triangles method. Let's call the height of the tree "h".
Since Keshawn and the tree are standing in the same spot, the same light source is casting their shadows, so the ratios of their shadow lengths to their heights are equal. This means we can set up the following proportion:
1.45 / h = 15.05 / 10.8
We can solve for "h" by cross-multiplying:
h = 15.05 * 1.45 / 10.8
h = 2.02 meters
Therefore, the height of the tree to the nearest hundredth of a meter is approximately 2.02 meters.
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Answer: 5.13
Step-by-step explanation:
5 over 6 divided by 3 over 8 in simplest form and a fraction
The value of the fraction is A = 20 / 9
What is a Fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Given data ,
Let the fraction be represented as A
Now , the first fraction is p = 5/6
Let the second fraction be q = 3/8
Now , the equation is A = p/q
On simplifying , we get
A = ( 5/6 ) / ( 3/8 )
A = ( 5/6 ) x ( 8/3 )
On further simplification , we get
The fraction A = ( 20 / 9 )
Hence , the fraction is A = 20/9
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A poll showed that 68.3% of Americans say they believe that some psychics can help solve murder cases. What is the probability of randomly selecting someone who does not believe that some psychics can help solve murder cases. Express your answer as a percent.
please help me!!
Answer:
If 68.3% of Americans believe that some psychics can help solve murder cases, then the percentage of Americans who do not believe this is:
100% - 68.3% = 31.7%
Therefore, the probability of randomly selecting someone who does not believe that some psychics can help solve murder cases is 31.7%.
Step-by-step explanation:
1.1 How many KES would you get for R150?
The amount of KES that one would have to get for R150 is given as 1053.54 KES
How many KES would you get for R150?The KES tells us of the Kenyan currency. That is the Kenyan shillings. The R is the name that is used to refer to the Rands
Hence we would have to convert rands to KES
1 south African Rand is given as 7.0236
then 150 rand would be = ?
Hence the amount you would get of KES is: 7.0236 * 150
= 1053.54 KES
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Please help me the formula for the boiling of a square prism is v=s 2 h what is the volume of a prism where a = 1.5 cm h= 8 cm
The formula for the volume of a square prism is given as V = s^2 * h. V = s^2 * h = 1.5^2 * 8 = 2.25 * 8 = 18 cm^3 So the volume of the square prism is 18 cubic centimeters.
this is what weegy answered
what is 2 tbsp to g ?
Since, 1 Tablespoon is equal to 15 Gram.
Therefore, 2 Tablespoon is equal to 1/8 cups or 29.5 grams.
Gram:
The gram (originally gram; SI unit symbol g) is a unit of mass in the International System of Units (SI), equal to one thousandth of a kilogram.
Originally defined in 1795 as "the absolute weight of a volume of pure water equal to one hundredth of a meter at the temperature at which ice melts." The positive temperature (~0 °C) was later changed to 4 °C, the temperature of maximum density of water.
However, towards the end of the 19th century, attempts were made to make the kilogram the base unit and the gram the derived unit. In 1960, the new International System of Units defined the gram as one thousandth of a kilogram (i.e., 1 gram equals 1 × 10-3 kg. As of 2019, the kilogram is defined by the International Bureau of Weights and Measures based on the fixed value of Planck's constant (h),
6.62607015 × 10-34 kg⋅m2⋅s-1.
According to the Question:
Convert from tablespoons to grams by multiplying the volume by 14.786765 times the density of the ingredient or material.
Using this simple formula, it can be converted to:
Grams = Tablespoons × 14.786765 × Ingredient Density
Therefore,
Grams = 02 × 14.786765
= 29.57353
So the volume in grams is equal to the number of tablespoons times the density of the material or material times 14.786765.
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Solve for x show proofs pleaseee
Answer:
180
Step-by-step explanation:
since both triangles are 90 degrees 90 plus 90 make 180