what is the measure of CAB?

Answer:

The answer is "[tex]\bold{\frac{1024}{3}}[/tex]".

Step-by-step explanation:

[tex]= \int\limits^{4}_{-4} \int\limits^{4}_{0} \int\limits^{16}_{x^2} dy\ dx \ dz \\\\= 2 \int\limits^{4}_{0} \int\limits^{4}_{0} \int\limits^{16}_{x^2} dy\ dx \ dz \\\\ = 2 \int\limits^{4}_{0} \int\limits^{4}_{0} (16-x^2) dx \ dz \\\\= 2 \int\limits^{4}_{0} \int\limits^{4}_{0} 16x -\frac{x^3}{3} dx \ dz \\\\= 2 (16x -\frac{x^3}{3})^4_{0} \ dz \\\\= 2 (4) (16x -\frac{64}{3}) \\\\=8(\frac{2}{3} \times 64) \\\\=(\frac{16\times 64}{3} ) \\\\= \frac{1024}{3}[/tex]

The volume of the given solid is [tex]\frac{1024}{3}[/tex] cubic units.

In this question we must use the triple integral formula in rectangular coordinates to determine the volume of the solid ([tex]V[/tex]):

[tex]V = \iiint dy\,dx\,dz[/tex] (1)

The solid is constrained by the following intervals:

[tex]y \in [x^{2}, 16][/tex], [tex]x \in [-4, 4][/tex], [tex]z\in [0, 4][/tex]

Then, the triple integral is now described:

[tex]V = \int\limits_{0}^{4}\int\limits_{-4}^{4}\int\limits_{x^{2}}^{16} dy\,dx\,dz[/tex]

Now we proceed to integrate thrice to obtain the volume:

[tex]V = \int \limits_{0}^{4}\int \limits_{-4}^{4} (16-x^{2})\,dx\,dz[/tex]

[tex]V = \int\limits_{0}^{4} \left(16\cdot x - \frac{x^{3}}{3}\right)\left|\limits_{-4}^{4} dz[/tex]

[tex]V = \frac{256}{3} \int\limits_{0}^{4} dz = \frac{1024}{3}[/tex]

The volume of the given solid is [tex]\frac{1024}{3}[/tex] cubic units.

We kindly invite to check this question on triple integrals: https://brainly.com/question/19484372

Answer:

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Step-by-step explanation:

To solve this correctly you need to remember how to compare integers.

Answer:

14 1/6

Step-by-step explanation:

7(1/3)+ 9(2/6)= 16(2/3)

16(2/3)

16(2/3)-2(1/2)= 14(1/6)

Answer:

14 1/6

Step-by-step explanation:

7 + 9  =16

convert 2/6 = 1/3

1/3 +1/3=2/3+16=

16 2/3 -2 1/2=

it's already a fraction tho.

The rate of change for the relationship, given the data is -2.25 gallon/min

Velocity is simply defined as the rate of change of displacement with time. Mathematically, it can be expressed as:

Velocity = displacement / time

With the above idea in mind, we can obtain the rate of change for the given relationship. This is illustrated below:

Rate = Change in gallon / change in time

Rate = (36.25 - 38.5) / (8 -7)

Rate = -2.25 / 1

Rate of change = -2.25 gallon/min

Learn more about velocity:

https://brainly.com/question/3411682

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Answer:

The stone covers 36 m in the 5th second. Correct choice: A.

Step-by-step explanation:

Proportions

Two variables are said to be proportional if one of them can be calculated by multiplying the other by a constant of proportionality. If y and x are those variables, then:

y=k.x

There are other similar proportions where the relation is not linear. For example, if y is proportional to the square of x, then:

[tex]y=k.x^2[/tex]

According to the conditions of the question, the distance traveled by a stone dropped from a height of 5 Km varies directly with the square of the time taken to fall through that distance. If d is the distance and t is the time, then;

[tex]d=k.t^2[/tex]

To find the value of k, we use the given condition: The stone falls d=66 meters in t=4 seconds. Substituting:

[tex]64=k.4^2=16k[/tex]

Solving:

[tex]k=64/16=4[/tex]

Substitute the value of k into the equation to get the complete model.

[tex]d=4.t^2[/tex]

Now we calculate the distance when t=5 seconds:

[tex]d=4\cdot 5^2=4\cdot 25=100[/tex]

The stone has covered 100 m in 5 seconds. But we need to find the distance covered in the 5th second, that specific interval between 4 sec and 5 sec.

Since we already know the distance for t=4 sec (64 m), and the distance for t=5 sec (100 m), then:

distance in the 5th second = 100 m - 64 m = 36 m

The stone covers 36 m in the 5th second. Option A.

Answer:

13-(5*4)=?

13-20=-7

Step-by-step explanation:

the orginal number is 13 and accordin to the question it has stated that everysteps we have to take out 5 so what i did is that i multiplied 4 by 5 and i a going to subtract it from 13 which i have the result of -7.

Answer:

28

Step-by-step explanation:

first term(a)=13

difference(d)=5

t(4)=?

now,

t(4)=a+(n-1)d

=13+(4-1)5

=13+3×5

=28

Answer:

2.9

Step-by-step explanation:

Hope this helps:)

Answer:

Descriptive statistics uses the data to provide descriptions of the population, either through numerical calculations or graphs or tables. Inferential statistics makes inferences and predictions about a population based on a sample of data taken from the population in question.

Answer: I think it’s f(x)=2x+2

Step-by-step explanation:

Answer:

$12

Step-by-step explanation:

50% is half off of something, which in this case would be the $24, so you would just take half off the 24. So you could divide it by 2 which would be 12.

Answer:

45

Step-by-step explanation:

kari had 15 miles 5x3=15

sondra had 60 miles 15x4=60

40-15=45

Answer:

4

Step-by-step explanation:

2 × 2 = 4

Answer:

Mr watts needs 7 weeks

Step-by-step explanation:

The average expense per presentation =  $20,000

Since Mr. Watts can give about 7 presentations per week, hence the average expense per presentation for a week = $20000 × 7 = $140000

Also the  cost of meals, motels, jet travel, and support  personnel total $60,000 per week. Hence the total cost per week is:

Total cost = $140000 + $60000 = $200000

The revenue gotten is $40 per person and can take 1000 people per each presentation. Hence:

Revenue per week = $40 per person × 1000 people × 7 days = $280000

Let assume the number of weeks needed to earn $560000 be x. Hence:

280000x - 200000x = 560000

80000x = 560000

x = 7

Answer:

198

Step-by-step explanation:

Bill costs 20.86

monthly fee plus cost per minute = 20.86

7 + (20.86-7) = 20.86

7+13.86=20.86

7+1386cents = 20.86

Minutes Aldo was billed = 1386÷7=198

Answer:

75

Step-by-step explanation:

Answer:

what do you need help with you did not provide a picture or any evidence

Step-by-step explanation:

step-by-step explanation

Answer:

The answer is

[tex] \huge y + 1 = 15(x - 3) \\ [/tex]

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

where

m is the slope

( x1 , y1) is the point

From the question we have the final answer as

[tex]y + 1 = 15(x - 3)[/tex]

Hope this helps you

Answer:

x=4

Step-by-step explanation:

9x=36, divide both sides by 9

Answer:

Step-by-step explanation:

9x=22+14

9x=36

x=36/9

x=4

It will be nice if you give me brainliest. Good luck!

Answer:

-√5 < x <  √5 .

Step-by-step explanation:

x^2 - 5 < 0

Solving x^2 - 5 = 0

x = √5 and -√5

These are the critical points

The coefficient of x^2 is positive so the graph ( which is a parabola) opens up.

so the region when x^2 - 5 is < 0 is  when  x >  -√5  and < √5

Answer:

D

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

Answer:

114 liters

Step-by-step explanation:

120 x 0.95 = 114

Answer:

one solution for that is 1

Step-by-step explanation:

subtract 4 from both sides, then your left with -3y and -3, then you divide -3 by -3 and you get 1.

I hope that made sense:)

Answer:

1) 20

Step-by-step explanation:

40% percent of this number is only a small amount.

20

Step-by-step explanation:

40 percent of this number is a small amount

Answer:

What did you need halp with

Step-by-step explanation:

Answer:

x=65

I put a pdf with the work below. hope it helps!

Step-by-step explanation:

Answer:

paying taxes, voting , serving a public office, and obeying the law.

Answer:

2 or 4

Step-by-step explanation:

Since I do not quite understand what you mean by X X, I could think of two answers. If you are doing 5 times X=20, then X = 4, but if you are trying to do 5 times x times x, then x=2.