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Ilia_Sergeevich [38]

2 years ago

4

The table below shows the profit based on price for an object sold by a company. A 2-column table with 6 rows. The first column

is labeled price per unit (dollar sign) with entries 0, 10, 20, 30 ,40, 50. The second column is labeled profit (dollar sign) with entries negative 4,000; 12,500; 24,000; 32,500; 36,000; 35,500. Which statements are true? Check all that apply. The data is best represented by an exponential model. The data is best represented by a quadratic model. If the price is $5 per unit, the expected profit is approximately $4,686. If the price is $80 per unit, the expected profit is negative. As the price per unit increases, the profit increases indefinitely.

1 answer:

nevsk [136]2 years ago

3 0

Answer: 2 and 3 on edge

Step-by-step explanation: i just took it

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The blue whale is the largest animal living on the earth. The average blue whale measures 100 feet long (30 meters) and weighs 3

mamaluj [8]

The average blue whale measures 100 feet(30 meters) long and weighs 300,000 pounds(136,000 kilograms).

A whale’s head is $\frac{1}{3}$ of the length of its body. So, the length of a whale's head $=(\frac{1}{3}*100)feet = 33.33 feet$ or $(\frac{1}{3}*30)meter= 10 meter$

A new baby whale is $\frac{1}{4}$ length of a grown whale. So, the length of a new baby whale $=(\frac{1}{4}*100)feet = 25 feet$ or $(\frac{1}{4}*30)meter = 7.5 meter$

The average man is $\frac{1}{17}$ the length of a blue whale. So, the height of the average man $=(\frac{1}{17}*100)feet = 5.88 feet$ or $(\frac{1}{17}*30)meter =1.76 meter$

The average man is $\frac{1}{1818}$ the weight of a blue whale. So, the average man weighs $= (\frac{1}{1818}*300000)pounds= 165.02 pounds$ or $= (\frac{1}{1818}*136000)kilograms= 74.81 kilograms$

A human baby measures $\frac{1}{4}$ of the length of an adult. So, the height of the average human baby $= (\frac{1}{4}*5.88)feet = 1.47 feet$ or $= (\frac{1}{4}*1.76)meter = 0.44 meter$

5 0

2 years ago

On a coordinate plane, triangle A B C is shown. Point A is at (3, 4), point B is at (negative 5, negative 2), and point C is at

hodyreva [135]

Answer:

The perimeter of Δ ABC is 20 + 2 $\sqrt{10}$ units ⇒ Last answer

Step-by-step explanation:

The perimeter of any triangle is the sum of the lengths of its three sides

The formula of distance between two points is $d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

In Δ ABC

∵ A = (3 , 4) , B = (-5 , -2) , C = (5 , -2)

∵ AB = 10 units

∵ AC = 2 $\sqrt{10}$

- To find its perimeter find the length of BC

∵ $x_{1}$ = -5 and $y_{1}$ = -2

∵ $x_{2}$ = 5 and $y_{2}$ = -2

- By using the formula above

∴ $BC=\sqrt{(5--5)^{2}+(-2--2)^{2}}=\sqrt{(5+5)^{2}+(-2+2)^{2}}$

∴ $BC=\sqrt{(10)^{2}+(0)^{2}}=\sqrt{100}$

∴ BC = 10 units

To find the perimeter add the lengths of the three sides

∵ P = AB + BC + AC

∴ P = 10 + 10 + 2 $\sqrt{10}$

- Add like terms

∴ P = 20 + 2 $\sqrt{10}$

The perimeter of Δ ABC is 20 + 2 $\sqrt{10}$ units

6 0

2 years ago

Read 2 more answers

Verify the given linear approximation at a = 0. Then determine the values of x for which the linear approximation is accurate to

nikklg [1K]

Answer:

Part 1)

See Below.

Part 2)

$\displaystyle (-0.179, -0.178) \cup (-0.010, 0.012)$

Step-by-step explanation:

Part 1)

The linear approximation <em>L</em> for a function <em>f</em> at the point <em>x</em> = <em>a</em> is given by:

$\displaystyle L \approx f'(a)(x-a) + f(a)$

We want to verify that the expression:

$1-36x$

Is the linear approximation for the function:

$\displaystyle f(x) = \frac{1}{(1+9x)^4}$

At <em>x</em> = 0.

So, find f'(x). We can use the chain rule:

$\displaystyle f'(x) = -4(1+9x)^{-4-1}\cdot (9)$

Simplify. Hence:

$\displaystyle f'(x) = -\frac{36}{(1+9x)^{5}}$

Then the slope of the linear approximation at <em>x</em> = 0 will be:

$\displaystyle f'(1) = -\frac{36}{(1+9(0))^5} = -36$

And the value of the function at <em>x</em> = 0 is:

$\displaystyle f(0) = \frac{1}{(1+9(0))^4} = 1$

Thus, the linear approximation will be:

$\displaystyle L = (-36)(x-(0)) + 1 = 1 - 36x$

Hence verified.

Part B)

We want to determine the values of <em>x</em> for which the linear approximation <em>L</em> is accurate to within 0.1.

In other words:

$\displaystyle \left| f(x) - L(x) \right | \leq 0.1$

By definition:

$\displaystyle -0.1\leq f(x) - L(x) \leq 0.1$

Therefore:

$\displaystyle -0.1 \leq \left(\frac{1}{(1+9x)^4} \right) - (1-36x) \leq 0.1$

We can solve this by using a graphing calculator. Please refer to the graph shown below.

We can see that the inequality is true (i.e. the graph is between <em>y</em> = 0.1 and <em>y</em> = -0.1) for <em>x</em> values between -0.179 and -0.178 as well as -0.010 and 0.012.

In interval notation:

$\displaystyle (-0.179, -0.178) \cup (-0.010, 0.012)$

4 0

2 years ago

Rob found 103 + 1875 = x using mental math. Use at least 3 terms from the world list to describe how Rob could find the sum.

arlik [135]

Answer:

Make, sum, total

Step-by-step explanation:

There are many terms in the word list that could be used to describe how Rob had solved the sum in his head. He had made and arranged numbers vertically in his head then sum it and at last he found the total.

6 0

2 years ago

Draw a diagram that shows 1/5 times 30 equals 6. Please include a diagram

kobusy [5.1K]

The diagram included should explain this.

4 0

2 years ago

Read 2 more answers