Identify the functions that have the given property.

The domain is all real numbers for .
An x-intercept is (pi,0) for .
The minimum value is –1 for .
An x-intercept is (pi/2,0) for .

Answers
1, both the sine and cosine function
2, the sin function
3, both the sine and cosine function
4, the cosine function

Answers

Answer 1

Answer:

this is right!

Step-by-step explanation:

i got it right on edge

Answer 2
Final answer:

The functions that have the given properties are the sine and cosine functions. The sine function is odd, with x-intercepts at integer multiples of pi and a minimum value of -1 at x=3pi/2. The cosine function is also odd, with x-intercepts at odd multiples of pi/2 and a minimum value of -1 at x=pi.

Explanation:

The functions that have the given properties are the sine and cosine functions.

The sine function: The sine function is odd, which means that it satisfies the property of being an odd function. The x-intercepts of the sine function are at integer multiples of pi, and the minimum value is -1 at x=3pi/2.The cosine function: The cosine function is also an odd function. The x-intercepts of the cosine function are at odd multiples of pi/2, and the minimum value is -1 at x=pi.

Therefore, the functions that satisfy all the given properties are the sine and cosine functions.


Related Questions

You are looking out your window in a skyscraper, and again your window is at a height of 450 feet above the ground. This time, however, you know that the tomato was dropped (so v_0 = 0), but you did not see it dropped so you do not know when it was dropped. You measure that it takes exactly 2 seconds from the time the tomato passes your window until it hits the ground. From what height did it fall? Give your answer as a decimal approximation with units.

Answers

Answer:

1027.2 m

Step-by-step explanation:

Which table of ordered pairs represents a proportinal relationship

Answers

Answer:

where are the tables lol

What is another name for Angle 1? Line segments J L and L M combine to form an angle. Line segment L K comes out of the angle to form 2 angles. Angle J L K is 1 and angle K L M is 2. Angle J L K Angle L K J Angle K L M Angle L K M

Answers

Answer: The answer is the first one, angle JLK

Step-by-step explanation:

The another name for Angle 1 is Angle JLK, the correct option is 1.

What is an angle?

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The word “angle” is derived from the Latin word “angulus”, which means “corner”. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

Given;

Line segments J L and L M combine to form an angle.

Line segment L K comes out of the angle to form 2 angles.

Now,

First the angle was JLM

Line segment LK cuts the angle JLM in 2

So, after  Line segment L K comes out of the angle to form 2 angles

Angle= JLK

Therefore, by new angle formed will be called JLK.

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6. A farmer needs to enclose a section of land in the shape of a parallelogram by using
one side of a barn for one side. The barn and the side adjacent to the barn form a 65°
angle. What is the measure of the angle opposite from this angle? (Circle the correct
answer.)
A. 35°
B. 65°
c. 115°
D. 25°

Answers

The answer would be C

Answer:

C. 115 degrees

Step-by-step explanation:

Knowing one side of a circle is 180 degrees, we should subtract 180-65.

- 180-65=115 degrees

Nadia says the hypotenuse of this right triangle has a length of 73 because the Pythagorean theorem states that (28+45)^2=73^2.Which best describes Nadia’s solution?
She is correct because she applied the Pythagorean theorem properly and her arithmetic is accurate.
She is incorrect because she should have used 45 as the length of the hypotenuse.
She is incorrect because she should have squared each leg length and then found the sum.
She is correct because the hypotenuse is the longest side of the triangle.

Answers

Answer:  She is incorrect because she should have squared each leg length and then found the sum.

The Pythagorean Theorem is a² + b² = c²  not (a+b)²=c² as written.

Answer:

Answer is c)))

Hello everyone! I have some sample work I'm working on and having trouble with, please help!
And please show your work ^^
|
|
|
v

Answers

Answer:

D: 286 [tex]in^{2}[/tex]

Step-by-step explanation:

[tex]\frac{1}{2}[/tex] * 5.5 * 13 = 35.75 (area of one triangle)

35.75 * 8 = 286 (area of entire octagon)

el Bowen borrowed $10,000 for 3 years
13.75% rate of interest. Find the simple
interest.

Answers

Answer:$4125

Step-by-step explanation:

Using the I = P x R x T formula, we can find the simple interest. Substitute all the values into this equation and you get : I = 10,000 x 13.75 x 3. Once you multiply all the values, $4125 is the answer you get. :)

CONGRATS! Your parents bought you a car for graduation. They paid $9000 for it. The bad news is that it depreciates at 12% per year. Write a function to represent the value of the car versus time

Answers

Answer:

If the price before depretiation be P and price after depreciation be Pt..

The eqn would be,

Pt=P(1-12/100)^t

Hope it helps!!

Final answer:

The function to represent the value of a car over time, with an initial value of $9000 and depreciating at 12% per year, is V = 9000(1 - 0.12)^t. This exponential decay function calculates the car's value at any time t years after purchase.

Explanation:

The question asks for a function to represent the value of a car over time, given that the car was purchased for $9000 and depreciates at a rate of 12% per year. To model this, we can use an exponential decay function. The general form of an exponential decay function is V = P(1 - r)^t, where V represents the value of the car at time t, P is the initial purchase price, r is the rate of depreciation, and t is the time in years.

Substituting the given values into the formula, we get V = 9000(1 - 0.12)^t. This function can be used to calculate the value of the car at any given time t years after the purchase. The rate of depreciation (12%) and the initial purchase price ($9000) are the critical factors that determine the car's value over time.

Rico does not work for Street Bikes Company,but wrongfully obtains inside information concerning the firm.Based on the information,Rico buys and sells Street Bikes stock for personal gain.The Securities and Exchange Commission prosecutes Rico,arguing that he is liable because he stole information rightfully belonging to another.This argument is​:_________.
A) the blue-sky theory.
B) the misappropriation theory.
C) the free-writing prospectus theory.
D) the tipper/tippee theory.

Answers

Answer:

B) The misappropriation theory

Step-by-step explanation:

The misappropriation theory states that a person who uses insider information in trading securities has committed securities fraud against the information source.

In this case, Street Bikes Company is the information source because the information rightfully belong to them, Rico trades Street Bikes Stocks because he stole the firm's information which does not belong to him, according to the misappropriation theory, Rico is liable to the offence of insider trading.

If you punch a wall with a force of 30 N, what force will you feel in your fist??

Answers

Answer:

30N

Step-by-step explanation:

Normal reaction

The force feel by fist is 30N.

What is Force?

A Force is a push or pull upon an object resulting from the object's interaction with another object.

Newton's Third Law of Motion states that for every action, there is an equal and opposite reaction.

Since you punch a wall with a force of 30N, the fist will feel the same force in the opposite direction as per the Newton's Third Law of Motion.

Hence The force feel by fist is 30N.

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In 24 games, Jaime has 48 scoring attempts. Which unit rate describes Jaime’s scoring attempts?
a. 1/2 a scoring attempt per game
b. 2 scoring attempts per game
c. 24 scoring attempts per game
d. 72 scoring attempts per game

Answers

Answer:

2 Scoring Attempts

Step-by-step explanation:

There are 48 attempts divided by 24 game which equals 2.

Answer:

it is b

Step-by-step explanation:

erin ran 7 1/2 miles around the track. Each lap is 1 1/2 miles. How many laps did Erin run

Answers

Answer:

She ran 5 laps

Step-by-step explanation:

Why? Because with each lap stating to be one and a half miles; you first and only step is to divide, seeing how each time you put 1 1/2 into the value of this 7 1/2 miles, you got a lap each time.

you divide 7 1/2 by 1 1/2,

this results in getting, 5

Answer: Erin ran 5 laps.

Step-by-step explanation

if he ran 7 1/2 miles and one lap is 1 1/2 miles then you need to add 1 1/2 miles up until you get the distance he ran which is 7 1/2 miles and when u keep adding 1 1/2 miles to get to 7 1/2 you get 5 laps. hope this helps :)

If a fair die is rolled 4 times, what is the probability, to the
nearest thousandth, of getting exactly o threes?

Answers

Final answer:

The probability of not getting a '3' when a fair die is rolled four times, rounded to the nearest thousandth, is approximately 0.482.

Explanation:

In a fair die, the probability of getting any one number, such as a 3, is 1/6 because a die has 6 possible outcomes (1 through 6). So, the probability of not getting a 3 is 5/6. If the die is rolled four times, the probability of not getting a 3 on each roll is (5/6)^4. To find this, multiply 5/6 by itself 4 times. The result is approximately 0.482, or rounded to the nearest thousandth, 0.482. So, "the probability of not getting a 3 on four rolls of a die to the nearest thousandth is 0.482."

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x + 8y = 2; (10, -1)​

Answers

The answer to this question I think is 2
The answer is 2 hope this helped

The 22 members of a baseball team are trying to raise at least $1968.00 to cover the traveling cost for a holiday tournament. If they have already raised $421.00, at least how much should each member still raise, on average, to meet the goal

Answers

About $70.31.

You would take $1968.00 and subtract $421.00 from it. Once you've subtracted, you would have gotten $1547.00. You would divide $1547.00 by the 22 people and get about $70.31 per person. :)

Which of these pieces of data about a football team is considered numerical data?

Answers

Answer:

1. Points scored

Step-by-step explanation:

A numerical data is defined as a data that is made up of numbers representing the quantity of a measurement. It is a measurable data such as weight or height, at it can be arranged in ascending or descending order as well as being able to provide an average.

The two types of numeric data are discrete and continuous data

A categorical data is made up of item labels, names or description, that are qualitative in their nature.

Information about a football team that is considered as numeric includes

1. Points scored

Which represents a quantifiable measurement that can be different with different teams and matches

2. Attendance this year.

Eliminate the parameter to find the cartesian equation of the curve: x=7sinθ,y=cos2θ,−π2≤θ≤π2 x=7sin⁡θ,y=cos2⁡θ,−π2≤θ≤π2 the equation of the curve is: y = equation editorequation editor from x = equation editorequation editor to x =

Answers

Final answer:

To eliminate the parameter and find the Cartesian equation of the curve x = 7sin⁡θ,y = cos2⁡θ, we can express x in terms of θ, rearrange the equation, and substitute it into the other equation to eliminate the parameter θ. The resulting equation 2(x/7)² + y - 1 = 0 represents the Cartesian equation of the curve.

Explanation:

To eliminate the parameter and find the Cartesian equation of the curve, we can express x in terms of θ using the given equation x = 7sin⁡θ. Rearranging this equation, we get sin⁡θ = x/7. Similarly, we can express y in terms of θ using the given equation y = cos2⁡θ, which can be rewritten as cos⁡(2θ) = y.

Now we can use the trigonometric identity cos⁡(2θ) = 1 - 2sin²⁡θ to eliminate θ from the equations. Substituting this identity into the second equation, we get 1 - 2(sin⁡θ)² = y.

Simplifying this equation, we have 2(sin⁡θ)² + y - 1 = 0. Finally, we can express sin⁡θ in terms of x using the equation sin⁡θ = x/7, and substitute it into the simplified equation to eliminate θ. This gives us 2(x/7)² + y - 1 = 0, which represents the Cartesian equation of the given curve.

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Fill in the blanks to correctly complete the sentence below.
Suppose a simple random sample of size n is drawn from a large population with mean muμ and standard deviation sigma σ. The sampling distribution of [tex]\bar x[/tex] has mean [tex]\mu_{\bar x}[/tex] =​______ and standard deviation [tex]\sigma_{\bar x}[/tex] =​______.

Answers

Answer:

Mean of the sampling distribution, [tex]\mu_{\bar{x}}=\mu[/tex]

Standard deviation of the sampling distribution [tex]\dfrac{\sigma}{\sqrt{n}}[/tex]

Step-by-step explanation:

Given a simple random sample of size n which is drawn from a large population

If the mean of the simple random sample of size n [tex]=\mu[/tex]                                   The sampling distribution of [tex]\bar{x}[/tex] has the same mean [tex]\mu_{\bar{x}}=\mu[/tex]If the standard deviation of the simple random sample of size n is [tex]\sigma[/tex]               The sampling distribution of  will have a standard deviation of [tex]\dfrac{\sigma}{\sqrt{n}}[/tex]

Barry needs to find the area of a rectangular room with a length that is 2 feet longer than the width. Write an expression for the area of the rectangle in terms of the width.

Answers

Final answer:

The area of the rectangular room with length 2 feet longer than the width can be expressed as w^2 + 2w square feet, where w represents the width of the room.

Explanation:

Barry needs to calculate the area of a rectangular room where the length is 2 feet longer than the width. If we denote the width as w, then the length will be w + 2 feet. The area of a rectangle is found by multiplying the length by the width.

Therefore, the expression for the area in terms of the width will be:

Area = width × length

Area = w × (w + 2 feet)

Area = w² + 2w square feet

This expression will give us the area of the rectangle in square feet.

Depth d (in feet) of a river can be modeled by the equation d=−0.25t2+1.7t+3.5, where 0≤t≤7 and t is the time (in hours) after a heavy rain begins. When is the river 6 feet deep?

Answers

Answer:

The river is 6 feet at two times, 2.15 hours after the rain and 4.65 hours after the rain.

Step-by-step explanation:

We are given the following in the question:

[tex]d=-0.25t^2+1.7t+3.5[/tex]

[tex]0\leq t\leq 7[/tex]

where, d is the depth of river in feet and t is time in hours after a heavy rain.

We have to find the number of hours for which the depth of river is 6 feet.

Putting d = 6 in the equation, we get,

[tex]6=-0.25t^2+1.7t+3.5\\\Rightarrow +0.25t^2-1.7t+2.5 = 0\\\text{Using quadratic formula}\\\\\Rightarrow t = \dfrac{1.7\pm \sqrt{(-1.7)^2-4(0.25)(2.5)}}{2(0.25)}\\\\t\approx 4.65, 2.15[/tex]

Thus, the river is 6 feet at two times, 2.115 hours after the rain and 4.65 hours after the rain.

The attached image shows the graph.

A rectangular red sticker is 8 millimeters wide and 5 millimeters tall. What is it’s area

Answers

Answer:

40 milimeters

Step-by-step explanation:

8*5=40

A company knows that unit cost C and unit revenue R from the production and sale of x units are related by Upper C equals StartFraction Upper R squared Over 220 comma 000 EndFraction plus 3221.C= R2 220,000+3221. Find the rate of change of revenue per unit when the cost per unit is changing by $ 9$9 and the revenue is ​$1 comma 0001,000.

Answers

Answer:

$990 per unit.

Step-by-step explanation:

The Unit Cost (C) and Unit Revenue R from the production and sale of x units are related by the function:

[tex]C=\dfrac{R^2}{220000} +3221[/tex]

We are required to find the rate of change of revenue per unit when the cost per unit is changing by $9 and the revenue is ​$1,000.

Rate of Change of C,

[tex]\dfrac{dC}{dt}=\dfrac{R}{110000} \dfrac{dR}{dt} \\\dfrac{dC}{dt}=\$9, R=\$1000\\9=\dfrac{1000}{110000} \dfrac{dR}{dt}\\\dfrac{dR}{dt}=9 \div \dfrac{1000}{110000}\\=9 X \dfrac{110000}{1000}\\\dfrac{dR}{dt}=\$990 $ per unit$[/tex]

The Revenue is changing at a rate of $990 per unit.

Final answer:

The problem is solved by first finding the derivative of the given equation to determine the rate of change. Given that the cost per unit is changing by $9, we substitute this in the derivative equation to get the revenue. Real-world applications of such problems help understand the concepts of marginal revenue and marginal cost.

Explanation:

As per the equation C = R2/220000 + 3221, we first need to find the derivative to determine the rate of change. So, C'(R) = 2R/220000 where C' represents the derivative of the cost with respect to revenue.

Given that the cost per unit is changing by $9, we can represent this as C' = 9 and solve for R using the derivative equation. Hence, R = sqrt(220000 * 9 / 2) = $1000. Therefore, the rate of change of revenue per unit when the cost per unit is changing by $9 and the revenue is ​$1,000 is found by substituting the revenue value into derivative equation.

These types of problems demonstrate how rates of change can be evaluated using calculus concepts in real-world applications such as understanding marginal revenue and marginal cost in economics and business studies.

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A bag contains 5 red marbles, 3 green marbles, 2 purple marbles, 2 orange marbles, and 1 blue marble.
Which color marble is less likely to be picked than purple?

Answers

Answer:

blue marble is the right answer

Blue is the correct answer

A farmer sells 9.1 kilograms of apples and pears at the farmer's market. 2 5 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?

Answers

Answer:

5.46 kilograms or 6.6 kilograms  

Step-by-step explanation:

Assume that 2 5 in your question has two possible meaning:

2/5 of  this weight is apples

Let divide 9.1 kilograms into 5 equal part

=> 1 equal part =  9.1 / 5 = 1.82 kilograms  

Because 2/5 of this weight is apples, so the weight of apples accounted for 2 equal parts

=> the weight of apples is: 2*1.82 kilograms  = 3.64 kilograms

=>  the weight of pears is: 9.1 kilograms - 3.64 kilograms = 5.46 kilograms

2.5 kg of  this weight is apples

Given the total weight is 9.1 kilograms

=>  the weight of pears is: 9.1 kilograms - 2.5 kilograms = 6.6 kilograms

Final answer:

To find the amount of pears sold, calculate two-fifths of the total weight for the apples and subtract this from the total weight. The farmer sold 5.46 kilograms of pears.

Explanation:

The student has asked a question that requires understanding of basic fractions and weight calculation in a real-life context, specifically within a farmer's market scenario. To solve the problem, we note that the total weight of apples and pears sold is 9.1 kilograms. If two-fifths (2/5) of this weight is apples, then to find the weight of pears, we first calculate the weight of apples and then subtract this from the total weight to get the weight of pears.

Step 1: Calculate the weight of apples by multiplying the total weight by the fraction that represents apples. This is 2/5 of 9.1 kg.

Step 2: Subtract the weight of the apples from the total weight to find the weight of pears.

Here are the calculations:

Weight of apples = (2/5) × 9.1 kg = 3.64 kg

Weight of pears = Total weight - Weight of apples = 9.1 kg - 3.64 kg = 5.46 kg

Therefore, the farmer sold 5.46 kilograms of pears at the farmer's market.

In order for you to answer the question correctly, please use the following image below:

Find the value of x.

X=(blank)

What is the value of X?

Please show all the work on how you got your answer. (Note- If you are unable to explain your work then it's completely fine. The only thing that I'm asking for is for you to show all the work so I can understand how you got your answer)

Answers

Answer:

The value of x is 16°

Step-by-step explanation:

Using the formula, angle = 1/2(θ°-x°) :

Let θ = 96°, x = x°, angle = 40°,

1/2×(96°-x°) = 40°

96° - x° = 80°

-x° = 80° - 96°

-x° = -16°

x = 16°

Find the area of a circle with a diameter of \color{green}{16}16start color green, 16, end color green.

Answers

Answer:

if you can write a comment so that makes sense, i might be able to help you

Step-by-step explanation:

sorry

Answer:

The answer is 64pi

Step-by-step explanation:

Jake has decided to give a bonus to the employee who has worked the greatest total number of hours over the past six months. Four candidates are currently up for consideration. The following graph shows how many hours each one has worked over the past six months.
A graph titled Hours Worked has name on the x-axis and Hours on the y-axis. For October: Vince, 130; Claire, 129; Joey, 134; Katharine, 122. For November: Vince, 135; Claire, 130; Joey, 121; Katherine, 131. For December: Vince, 131; Claire, 125; Joey, 119; Katherine, 134. For January: Vince, 133; Claire, 126; Joey, 127; Katharine, 133. For February: Vince, 134; Claire, 121; Joey, 132; Katharine, 115. For March: Vince, 118; Claire, 133; Joey, 134; Katharine, 140.
To which employee will Jake give the bonus?
a.
Vince
b.
Claire
c.
Joey
d.
Katharine



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

The answer is A) Vince.

Step-by-step explanation:

Vince had 781 total hours. Claire had 764 total hours. Joey had 767 total hours. Katharine had 775 total hours. Therefore the person with the most hours, Vince, gets the bonus.

Jake will give the bonus to Vince, as she has worked the greatest total number of hours over the past six months.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

To determine who will receive the bonus, we need to calculate the total number of hours worked by each employee over the past six months.

For Vince:

130 + 135 + 131 + 133 + 134 + 118 = 781

For Claire:

129 + 130 + 125 + 126 + 121 + 133 = 764

For Joey:

134 + 121 + 119 + 127 + 132 + 134 = 767

For Katharine:

122 + 131 + 134 + 133 + 115 + 140 = 775

Jake will give the bonus to Vince, as she has worked the greatest total number of hours over the past six months.

Hence, Jake will give the bonus to Vince, as she has worked the greatest total number of hours over the past six months.

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an
Diego and Lin are drinking milkshakes. Lin starts with 12 ounces and drinks
ounce per second. Diego starts with 20 ounces and drinks.How long will it take lin and Diego to finish their milkshakes?

Answers

Final answer:

It will take Lin 12 seconds to finish her milkshake. The time it takes Diego to finish his milkshake cannot be determined without the rate at which he drinks.

Explanation:

The problem is about how long it will take for Diego and Lin to finish their milkshakes. Lin is drinking her milkshake at a rate of 1 ounce per second and began with a total of 12 ounces. Therefore, it will take her 12 seconds to finish. For Diego, it doesn't specify how quickly he is drinking his milkshake, which began with 20 ounces, it is impossible to calculate how long it would take him to finish his drink without this information. Hence, to fully solve this problem, you need additional rate information for Diego.

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find the area of the circle. round your answer to the nearest hundredths. the diameter is 2cm​

Answers

Answer:

3.14 cm squared

Step-by-step explanation:

First, identify the formula necessary to calculate the area of the circle.

Area of a circle = pi x r^2

Remember, the radius is just half of the diameter! Then to square a number, is to multiply it by itself once.

pi x 1^2 =?

pi x 1

Pi

The circumference of your circle is approximately 3.14 cm squared.

7. Give all transformations that occur to the function y = x ^ 3 that produce the function y = 1/3 * x ^ 3 + 5 Give both the transformations and the order in which they occur.

Answers

Answer:

See explanantion

Step-by-step explanation:

Solution:-

- We will start of with the given function y = x^3, and plot a small sketch.

First transformation:-

- We multiply the y = x^3, with a constant a = 1/3. Where,

                                   y1 = a*y

Where,                 a : real constant

- The cases for a:

         a > 1 ----> makes the function steeper

         0 < a < 1  ----> Flattens the graph/less steep

         a < - 1  ------ > Reflection about x-axis and makes the function steeper.

       0 < a < -1  ----> Flattens the graph/less steep and reflection about x-axis

- For a = 1/3, the graph flattens or in other words with increasing value of "x" the value of "y" increases at a decreased rate.

Second Transformation:-

- We add the b = 5 to the resulting graph y = 1/3*x^3.

                                y2 = 1/3*x^3 + b

Where,                     b : Real constant

- The cases for b:

           b > 0  --------> Vertical upward shift of the graph by b units

           b < 0 ---------> Vertical downward shift of the graph by b units

- For b = 5 > 0, The graph 5 units up or in other words the y-intercept shifts from y = 0 to y = 5.

- The required function y = 1/3*x^3 + 5 undergoes two transformation. a = 1/3 flatten out the starting function y = x^3 and b = 5 shifts the resulting graph vertically upwards.

Final answer:

To produce the function y = (1/3)*x³ + 5 from y = x³, two transformations occur: a vertical scaling by 1/3 followed by a vertical translation up 5 units.

Explanation:

The function y = x³ has undergone two transformations to become y = (1/3) * x³ + 5. First, a vertical scaling by a factor of 1/3 has occurred, shrinking the graph vertically by a third of its original size. The second transformation is a vertical translation of 5 units upwards, which takes every point on the graph and moves it 5 units higher on the y-axis. These transformations would occur in the following order:

Vertical scaling by a factor of 1/3: y = x³ becomes y = (1/3)*x³.Vertical translation up by 5 units: y = (1/3)*x³ becomes y = (1/3)*x³ + 5.
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Jamals father and grandmother are both diabetic. Jamal shows no signs of diabetes.Which most likely explains why Jamal never suffers from diabetes even though he has the genes that can cause it?He got the diabetes genes from his father.He refrigerates his food so it will not spoil.He lives in a city with good air quality.He makes healthy lifestyle choices. Someone please help me The speed S of blood that is r centimeters from the center of an artery is given below, where C is a constant, R is a radius of the artery, and S is measured in centimeters per second. Suppose a drug is administered and the artery begins to dilate at a rate of dR/dt. At a constant distance r, find the rate at which s changes with respect to t for C = 1.32 times 10^5, R = 1.3 times 10^-2, and dR/dt = 1.0 times 10^-5. (Round your answer to 4 decimal places.) S = C(R^2 - r^2) dS/dt = Which of the following best defines a gene pool What part of the nephron would be most adversely affected by a condition that destroyed simple squamous epithelium? do you agree or disagree that human nature requires that we build safeguards into our government to protect us from our leaders? Explained Why does kamauss father look at his son with ""unbelieving eyes"" and trembles with fear when kamau greets him? Miguel wrote the predicted and residual values for a data set using the line of best fit y = 1.82x 4.3. He left out two of the values. A 4-column table with 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled given with entries negative 2.3, negative 0.9, 1.1, 3.1. The third column is labeled predicted value with entries negative 2.48, negative 0.66, a, 2.98. The fourth column is labeled residual value with entries 0.18, negative 0.24, negative 0.06, b. Which represents the missing values of a and b? a = 1.16 and b = 0.12a = 1.16 and b = 0.12 a = 0.5 and b = 6.08 a = 0.5 and b = 6.08 please, i need help :( x - 5y = -15 if x = -5 Ice-cream palace has received an order for 3 gallons of ice cream the shop packages its ice cream in 1 quart containers solve for x: 4x^2-6x+2=0 One method of reducing an aircarfts landing distance is through the use of thrust reversers. Consider the turbofan engine in Fig. P2.5 with thrust reverser of the bypass airstream. It is given that 1500 lbm / s of air at 60 8 F and 14.7 psia enters the engine at a velocity of 450 ft / s and that 1250 lbm / s of bypass air leaves the engine at 60 deg to the horizontal, velocity of 890ft / s, and pressure of 14.7 psia. The remaining 250 lbm / s leaves the engine core at a velocity of 1200 fps and a pressure of 14.7 psia. Determine the force on the strut [Fx]. Assume the outside of the engine sees a pressure of 14.7 psia. The expression 10,600(1.0385)x represents the amount of money in an investment account with interest that compounds annually for x years. Interpret the meaning of the expression.AThe initial investment is $10,385, and the growth rate of the investment is 1.06%. BThe initial investment is $10,385, and the growth rate of the investment is 6%. CThe initial investment is $10,600, and the growth rate of the investment is 1.0385%. DThe initial investment is $10,600, and the growth rate of the investment is 3.85%. What are 3 equivalent ratios to 2/5 The function of pulmonary ventilation is to ___________.a. remove carbon dioxide from the blood. b. maintain adequate alveolar ventilation. c. remove air from dead air space. d. supply oxygen to the blood. e. prevent gas exchange in the bronchioles Find the area of the blue sectors formed by angle DFE. Round answer tothe nearest tenth.137EF28 mAnswer choices1552.7 1525.71255.71555.7 How do you get the answer what is 4+5???????????????? Warm-UpA 206-gram bar of iron has sunlight shining on it. Initially, its temperature is 24.7C. As it gains 1,070.79 joules of energy, itstemperature rises to 36.2C. Calculate the specific heat capacity of the iron bar using the formula Q = mCAT.