Graph the function.
h(x)=1/3x^2 + 2x - 4

Answer:

1. 45 dollars per year.

2. 49.73 dollars per year.

3. 56.6 dollars per year.

4. Increases

Step-by-step explanation:

Average rate of change

The average rate of change of a function [tex]f(x)[/tex] over an interval [a,b] is given by:

[tex]A = \frac{f(b)-f(a)}{b-a}[/tex]

In this question, we have that:

[tex]A(t) = 900(1.05)^t[/tex]

1. What is the average rate of change for the first year?

[tex]A(0) = 900(1.05)^0 = 900[/tex]

[tex]A(1) = 900(1.05)^1 = 945[/tex]

So

[tex]A = \frac{A(1)-A(0)}{1-0} = \frac{945-900}{1-0} = 45[/tex]

45 dollars per year.

2. What is the average rate of change for the first five years?

[tex]A(0) = 900(1.05)^0 = 900[/tex]

[tex]A(5) = 900(1.05)^5 = 1148.65[/tex]

[tex]A = \frac{A(5)-A(0)}{5-0} = \frac{1148.65-900}{5-0} = 49.73[/tex]

49.73 dollars per year.

3. What is the average rate of change for the first ten years?

[tex]A(0) = 900(1.05)^0 = 900[/tex]

[tex]A(10) = 900(1.05)^{10} = 1466[/tex]

[tex]A = \frac{A(10)-A(0)}{10-0} = \frac{1466-900}{10-0} = 56.6[/tex]

56.6 dollars per year.

4. Does the average rate of change increase or decrease as time from the initial deposit gets longer?

From the previous items, it increases.

Answer:

I do but I only play fn not 2k

Answer: mean- 2.1

Median- 1.4

Mode- 0.5

Step-by-step explanation:

Answer:

342.5 + 65.25 = C

407.75 = C

Step-by-step explanation:

Given that the total cost of Kurt's required textbooks this quarter is $ 342.50, while optional textbooks cost a total of $ 65.25, to determine which inequality shows the total cost C that Kurt could pay for his textbooks, the following mathematical reasoning must be performed:

Mandatory books + optional books = Cost

342.5 + 65.25 = C

407.75 = C

Thus, Kurt could pay a total cost of $ 407.75 for his textbooks this quarter.

Answer:

9.375

Step-by-step explanation:

Answer:

9.375

Step-by-step explanation:

divide the mass value by 16.

150 / 16 = 9.375

Answer:

60

Step-by-step explanation:

Answer:

The test has 8 questions of 2 points, as well as 16 of 4 points and 4 of 5 points.

Step-by-step explanation:

Since, on a 28-question test, there are 2-point questions, 4-point questions, and 5-point questions, the test is worth a total of 100 points and there are twice as many 2-point questions as 5- point questions on the test, to determine how many 2-point questions are on the test, the following calculation must be performed:

18 x 2 + 9 x 5 + 1 x 4 = 36 + 45 + 4 = 85

16 x 2 + 8 x 5 + 4 x 4 = 32 + 40 + 16 = 88

14 x 2 + 7 x 5 + 7 x 4 = 28 + 35 + 28 = 91

12 x 2 + 6 x 5 + 10 x 4 = 24 + 30 + 40 = 94

10 x 2 + 5 x 5 + 13 x 4 = 20 + 25 + 52 = 97

8 x 2 + 4 x 5 + 16 x 4 = 16 + 20 + 64 = 100

Thus, the test has 8 questions of 2 points, as well as 16 of 4 points and 4 of 5 points.

Answer:

y=-32/11+a/11-n/11

Step-by-step explanation:

Step-by-step explanation:

it is just 2.50 divided by 5 will give you 0.5

Answer:

28.27433

Step-by-step explanation:

using the pie radius squared formula

pie radius squared=pie 3 squared

answer is 28.27433

same reason as the person above

9514 1404 393

Answer:

  1/y

Step-by-step explanation:

The multiplicative inverse of an expression is its reciprocal. It is the value that, when multiplied by the original, give a product of 1 (the multiplicative identity element).

Here, that is ...

  1/y

because (y)(1/y) = y/y = 1.

_____

Additional comment

Zero (0) does not have a multiplicative inverse.

Answer:

1

Step-by-step explanation:

Evaluate the following

Lim (xcotx)

x->0

Note that cotx = cosx/sinx

The expression becomes

Lim (xcotx) = Lim (xcosx/sinx)

x->0               x->0

= 0cos0/sin0

= 0/0 )(ind)

Apply l'hospital rule

= Lim d/dx(xcosx/sinx)

x->0          

= lim (-xsinx + cosx)/cosx

    x->0

= -0sin0+cos0/cos0

= 0+1/1

= 1/1

= 1

Hence the limit of xcotx as x tends to zero is 1      

photo is not clear send clearer image

Answer:

between 45 and 60?

Step-by-step explanation:    

5.5 and  8,

Answer:

Rounded to the nearest whole number, the company caught 1,360,630 fish in total over the 20 years.

Step-by-step explanation:

Given that a major fishing company does its fishing in a local lake, and the first year of the company's operations it managed to catch 115,000 fish but due to population decreases, the number of fish the company was able to catch decreased by 6% each year, to determine how many total fish did the company catch over the first 20 years, to the nearest whole number, the following calculation must be performed:  

Year 1: 115,000

Year 2: 115,000 x 0.94 = 108,100

Year 3: 108,100 x 0.94 = 101,614

Year 4: 101,614 x 0.94 = 95,517.16

Year 5: 95,517.16 x 0.94 = 89,786.13

Year 6: 89,786.13 x 0.94 = 84,398.96

Year 7: 84,398.96 x 0.94 = 79,335.02

Year 8: 79,335.02 x 0.94 = 74,574.92

Year 9: 74,574.92 x 0.94 = 70,100.42

Year 10: 70,100.42 x 0.94 = 65,894.40

Year 11: 65,894.40 x 0.94 = 61,940.73

Year 12: 61,940.73 x 0.94 = 58,824.29

Year 13: 58,824.29 x 0.94 = 54,730.83

Year 14: 54,730.83 x 0.94 = 51,446.98

Year 15: 51,446.98 x 0.94 = 48,360.16

Year 16: 48,360.16 x 0.94 = 45,458.55

Year 17: 45,458.55 x 0.94 = 42,731.03

Year 18: 42,731.03 x 0.94 = 40,167.17

Year 19: 40,167.17 x 0.94 = 37,757.14

Year 20: 37,757.14 x 0.94 = 35,491.71

TOTAL: 1,360,629.60

Thus, rounded to the nearest whole number, the company caught 1,360,630 fish in total over the 20 years.

Answer:

negative correlation ( age of the car increases value of it decreases)

Answer:

TRUE!!!!!!!!!

Step-by-step explanation:

Answer:

8.5

Step-by-step explanation:

1.87/22 = 0.085 x 100 = 8.5%

Answer:

Step-by-step explanation:

First, we need to use the Pythagorean Theorem to find the third side. We will then use the law of cosines to find the angle.

2√15² = 2√6² + b²

60 = 24 + b²

Subtract 24

36 = b²

b = 6

Now, that we have all three sides, we will use the law of cosines to figure out the angle.

c² = a² + b² - 2abCosC°

Substitute the values in.

6² = 2√15² + 2√6² - 2(2√15)(2√6)CosC°

36 = 60 + 24 - 2(37.947331922)CosC°

36 = 60 + 24 - 75.894663844CosC°

36 = 84 - 75.894663844CosC°

Subtract 84

-48 = -75.9CosC°

0.63241106719 = CosC°

Arccos (0.63241106719) = 50.77176844°

The largest acute angle is approximately 50.8°

Answer:

Check pdf

Step-by-step explanation:

Answer:

p= -3

Step-by-step explanation:

-2p-4=2

    +4  +4

-2p=6

/-2    /-2

p=-3

Cost of apples, y, varies directly with pounds

of apples purchased, x.

y = kx

k is constant of proportion

Four pounds of apples cost $5

5 = 4k

k = 5/4 = 1.25

10 = 8k

k = 10/8 = 1.25

As it should be, k is a constant equal to 1.25

y = 6(1.25) = $7.50 for 6 pounds of apples

Answer:

the answer is D

Step-by-step explanation:

i took the test on edg your welcome

Answer:

I am expecting that option a or c is correct answer

Answer:

its b

Step-by-step explanation:

Answer:

B) one 90 degree angle

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

i know

Answer:

"The product of two rational numbers is rational."

So, multiplying two rationals is the same as multiplying two such fractions, which will result in another fraction of this same form since integers are closed under multiplication. Thus, multiplying two rational numbers produces another rational number.

Step-by-step explanation:

Answer: Is a rational number.

Step-by-step explanation: Two rational numbers produces another rational number. "The product of two rational numbers is rational." So, multiplying two rationals is the same as multiplying two such fractions, which will result in another fraction of this same form since integers are closed under multiplication.

Answer:

i am not to sure but i thinks it D and can you help me with mine i really need help i will give brainlest too

Step-by-step explanation:

Answer:

D) 9.8

Step-by-step explanation:

Because you use h^2 = a^2 + b^2

and yiu rearranged the equation for one of the sides to get x = square root of h^2 and b^2 and get 9.79... which rounds to 9.8