What is the average rate of change of f(x), represented by the graph, over the interval [0, 2]?

Answer:

It's 160

I think you have a typo in d. If you do, the answer is d) V=(4 x 4) x 10

meaning a x 10 versus a + 10 as typed.

Step-by-step explanation:

.1m=10cm

volume = 4 x 4 x 10 = 160

Step-by-step explanation:

5×9×12=540

6×9×12÷2=324

324+540=864

Answer:

C. 1188 cubic meters

Step-by-step explanation:

"To find the volume, we must multiply the length x width x height"

The shape is too big so we must break it into another shape

Let's solve the bottom shape that looks like a rectangle!

Length: 12 m

Width: 9 m

Height: 5 m

Volume = 540 m

Now the top shape!

Length: 12 m

Width: 9 m

Height: 6 m

Volume = 648 m

Now we need to add both of the volume shapes!

648 + 540 = 1188 cubic meters

Answer:

-53/12

Step-by-step explanation:

Answer:

Exact Form: -53/12

decimal form: -4.416

mixed number -4 5/12

Step-by-step explanation:

convert mixed numbers into improper fractions: -2 3/3 +(5 1/2)+ 8 3/4

convert mixed numbers into improper fractions: =11/2  =[tex]-\frac{23}{3}+\left(-\frac{11}{2}\right)+\frac{35}{4}[/tex] =

[tex]-\frac{23}{3}+\left-\frac{11}{2}\right+\frac{35}{4}[/tex][tex]=-\frac{92}{12}-\frac{66}{12}+\frac{105}{12}[/tex]

[tex]\frac{-92-66+105}{12}[/tex]

add/subtract the numbers: -92-66+105=-53

-53/12

apply the fraction rule: [tex]\frac{-a}{b} = -\frac{a}{b\\}[/tex]

[tex]=-\frac{53}{12}\\[/tex]

Answer: B) dot plot with 2 dots over 75, 7 dots over 76, 3 dots over 77, 3 dots over 78, 1 dot over 79

Step-by-step explanation: took the test, hope this helps c:

Answer:

im pretty sure the answer is A

Answer:

let x=distance 105 mph train traveled

(456-x)=distance 85 mph train traveled

Travel time = distance/speed (equal in both directions)

x/105=(456-x)/85

85x=105*456-105x

190x=105*456

x=105*456/190=252 miles

travel time=252/105=2.4 hrs

ans:

The two trains will meet in 2.4 hrs

Step-by-step explanation:

there brainliest pls

Answer:

4.5 to 9.5

Step-by-step explanation:

Answer:

10.44

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

Answers:

cos(A) = 0.8480

tan(B) = 1.6

=============================================

Explanation:

Before we can compute cos(A), we'll need to find the hypotenuse.

Use the pythagorean theorem.

a^2 + b^2 = c^2

8^2 + 5^2 = c^2

89 = c^2

c^2 = 89

c = sqrt(89)

The hypotenuse is exactly sqrt(89) units long.

This will allow us to find the cos(A) value

cos(angle) = adjacent/hypotenuse

cos(A) = AC/AB

cos(A) = 8/sqrt(89)

cos(A) = 0.84799830400509 which is approximate

cos(A) = 0.8480 when rounding to four decimal places

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

For the tangent ratio, we won't use the hypotenuse. Instead, we use the opposite and adjacent sides like so:

tan(angle) = opposite/adjacent

tan(B) = AC/BC

tan(B) = 8/5

tan(B) = 1.6

Answer:

(-5,-10)

it is in quadrant 3 (quadrant III)

Step-by-step explanation:

Mark as Brainliest

Answer:

(-5,-10) In Quadrant III

Step-by-step explanation:

When reflecting a point accross the x-axis, the y-coordinate of the point changes signs

Ex. Positive to Negative and vice versa

Therefore, (-5,10) reflected accross the x-axis becomes (-5,-10)

Since both x and y coordinates are negative, the point falls in the third quadrant, or Quadrant III

Answer:

y=15

x=43

(any variable can be used, I used x and y to make it easier to show)

Step-by-step explanation:

x+y=58

x-y=28

get x by its self

x=58-y

then subsitute into the other equation

(58-y)-y=28

58-2y=28

-2y=-30

y=15

sub. again

x+15=58

x=43

Answer:

4' - 9.64

Step-by-step explanation:

Total rise = 2' - 7"

Total run = 3' - 9"

Converting to inches :

1' = 12" ; 1 feet = 12 inches

2' = 2 * 12 = 24"

3' = 3 * 12 = 36"

Total rise = 24" + 7" = 31"

Total run = 36" + 9" = 45"

Length of stringer = hypotenus

Hypotenus = √(total rise² + total run²)

Hypotenus = √(31² + 45²)

Hypotenus = 54.644304"

= 4' - 9.64"

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

12,24,36,48,60,72...

12 is the smallest common multiple so LCM of 4,6 and 12 is 12

Answer:

6

Step-by-step explanation:

First subtract 10 from 100 and get 90. Then divide 90 by 15 and you'll get 6. Therefore, Ms. Hernandez can bring 6 people including herself.

Answer:

The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

Of the 533 randomly selected Americans surveyed, 351 were in favor of the initiative.

This means that [tex]n = 533, \pi = \frac{351}{533} = 0.6585[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6585 - 1.645\sqrt{\frac{0.6585*0.3415}{533}} = 0.6247[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6585 + 1.645\sqrt{\frac{0.6585*0.3415}{533}} = 0.6923[/tex]

The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).

Answer:

The answer for this question is 49 cubic inches

Answer:

3/7

Step-by-step explanation:

You want to seperate the numbers from the variable.

Answer:

i got g

Step-by-step explanation:

Answer:

Step-by-step explanation:

G and h

Answer: 77 days

Step-by-step explanation:

Use the chain rule:

[tex]\frac{\mathrm dy}{\mathrm dx}=3(-3x^5+1)^2\frac{\mathrm d[-3x^5+1]}{\mathrm dx}=3(-3x^5+1)^2(-15x^4)=\boxed{-45x^4(1-3x^5)^2}[/tex]

Answer:

-9/7

Step-by-step

Slope Formula:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

We can plug in the numbers 7 and -2 for the y and -4 and 3 for x

[tex]\frac{7-(-2)}{-4-3} =\frac{9}{-7}[/tex]

Answer:

I am not sure, but I think you would check for the side with the longest length(hypothenuse) and check if the formula of a^2+b^2=c^2(side with the longest length) satisfies it.

Answer:

3 tenths

Step-by-step explanation:

Answer: B. 10

-5C3 or 5 choose 3 refers to how many combinations are possible from 5 items, taken 3 at a time. To calculate combinations, we will use the formula nCr = n! / r! ... * (n - r)!, where n represents the total number of items, and r represents the number of items being chosen at a time.

-10 is the total number of all possible combinations for choosing 3 elements at a time from 5 distinct elements without considering the order of elements in statistics & probability surveys or experiments. The number of combinations for sample space 5 CHOOSE 3 can also be written as 5C3 in the format of nCr or nCk.

Step-by-step explanation: Hope this help :D