C plus 3/8 equals 1 1/3 what does C equal
ASAP

The definition of the set E gives you a natural choice for the limits in the integral:

[tex]\displaystyle \iiint_E y \, dV = \int_0^6 \int_0^x \int_{x-y}^{x+y} y \, dz \, dy \, dx[/tex]

Computing the integral, we get

[tex]\displaystyle \iiint_E y \, dV = \int_0^6 \int_0^x y ((x+y)-(x-y)) \, dy \, dx = 2 \int_0^6 \int_0^x y^2 \, dy \, dx[/tex]

[tex]\displaystyle \iiint_E y \, dV = 2 \int_0^6 \frac13 (x^3 - 0^3) \, dx = \frac23 \int_0^6 x^3 \, dx[/tex]

[tex]\displaystyle \iiint_E y \, dV = \frac23 \cdot \frac14 (6^4 - 0^4) = \boxed{216}[/tex]

The evaluation of the triple integral ∭E y dV, where E = {(x, y, z) | 0 ≤ x ≤ 3, 0 ≤ y ≤ x, x − y ≤ z ≤ x + y} is 216

Triple integral integrates the integrand over three dimensions.

Given that:

E = {(x, y, z) | 0 ≤ x ≤ 3, 0 ≤ y ≤ x, x − y ≤ z ≤ x + y}

Evaluating the integral:

[tex]I = \int \int \int _E y \: dV[/tex]

[tex]I = \mathlarger{\int_0^6 (\int_0^x (\int_{x-y}^{x+y} y\: dz)dy)dx}\\\\I = \int_0^6 (\int_0^x [yz]_{z=(x-y)}^{z=(x+y)}dy)dx\\\\I = \int_0^6 (\int_0^x y( (x+y) - (x-y)) \: dy)dx\\\\ I = \int_0^6 (\int_0^x y(2y) \: dy)dx\\\\I =2 \int_0^6 \left [\dfrac{y^3}{3}\right ]_{y=0}^{y=x} dx\\\\I = 2 \int_0^6 (x^3/3) dx\\\\I = \dfrac{2}{3} \left[\dfrac{x^4}{4} \right]_{x=0}^{x=6} = \dfrac{2}{3} \times \dfrac{6^4}{4} =216[/tex]

Thus, the evaluation of the triple integral ∭E y dV, where E = {(x, y, z) | 0 ≤ x ≤ 3, 0 ≤ y ≤ x, x − y ≤ z ≤ x + y} is 216

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Step-by-step explanation:

Reduce 24/96 to lowest terms

Find the GCD (or HCF) of numerator and denominator. GCD of 24 and 96 is 24.

24 ÷ 2496 ÷ 24.

Reduced fraction: 14. Therefore, 24/96 simplified to lowest terms is 1/4.

Step-by-step explanation:

Here is an Explanation

Reduce 24/96 to lowest terms

The simplest form of

24

96

is

1

4

.

Steps to simplifying fractions

Find the GCD (or HCF) of numerator and denominator

GCD of 24 and 96 is 24

Divide both the numerator and denominator by the GCD

24 ÷ 24

96 ÷ 24

Reduced fraction:

1

4

Therefore, 24/96 simplified to lowest terms is 1/4.

Answer:

33.6

Step-by-step explanation:

This problem is a multiplication problem.

=> 4.8 x 7

=> 33.6

Therefore, the solution to 4.8 x 7 is 33.6.

The problem 4.8 x 7 is a multiplication problem. The solution to 4.8 x 7 is 33.6.

Here, we have,

given that,

The problem 4.8 x 7 is a multiplication problem.

To solve it, we multiply 4.8 by 7.

4.8 x 7

Therefore, the answer to the problem 4.8 x 7

This problem is a multiplication problem.

=> 4.8 x 7

=> 33.6

Therefore, the solution to 4.8 x 7 is 33.6.

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#SPJ6

Answer:

(4) 1/4x = 3/4 (4)

1x=3

Step-by-step explanation:

3/4 x

÷ = ÷

1/4 1

(4) 1/4x = 3/4 (4)

1x=3

Answer:

y= 8.5x - 10

Step-by-step explanation:

I think it is substracting because it's how much remains, if its wrong it could either be 10x - 8.5 or 8.5x + 10

Answer:

1- 12.20$

2- 1.30$ + 1.40y$

3- 1.3x + 1.4y

Step-by-step explanation:

input unknown values using x and y

Answer:

Both of the angles will add up to 180 degrees so let’s make an equation.

5x-5+2x+10=180

First we collect like terms

5x+2x-5+10=180

Add them up

7x+5=180

Move the constant to the right

7x=180-5

7x=175

7x/7=175/7

x=25

So yes it’s true x=25.

Now we find the respective angles,

5x-5

5(25)-5

125-5

120

So angle one is 120 degrees.

2x+10

2(25)+10

50+10

60

So angle two is 60 degrees.

Now to check,

120+60=180

Step-by-step explanation:

When Php 20.247 is rounded to the nearest hundredths, the value that will be gotten is Php. 20.25.

It should be noted that the 2 after the decimal is the tenth place, 4 is in the hundredth place and 7 is in the thousandth place.

Therefore, when Php 20.247 is rounded to the nearest hundredths, we'll add 1 to 4 since the thousandths place is above 5. Therefore, the new number is Php. 20.25.

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Answer:

B

Step-by-step explanation:

Answer:

10.5

Step-by-step explanation:

Hope I helped please mark brainliest if I did and thanks! <3

Answer:

No, 29 is prime

Step-by-step explanation:

Answer:

The answer is true.

Step-by-step explanation:

Answer:

156m^2

Step-by-step explanation:

label the shapes A and B) triangle=shape b and rectangle=shape a

shape a)10x12=120m^2

shape b)(12x6)/2=36m^2

add the values of shape a and b together to get the area of the shape)120+36=156m^2

Answer:

11.7 miles

Step-by-step explanation:

I hope this helped!

Answer:

3 hours and 45 minutes assuming its from am to pm

Step-by-step explanation:

Hope This Helps

Answer:

-1

sorry if this is wrong I really am

Answer:

m= -1

Step-by-step explanation:

Have a nice day

Answer:

0 = 20

Step-by-step explanation:

4(2x−3)−2x=6x+8

8−12−2=6+8

combine like terms.

8x−12−2x=6x+8

6−12=6+8

Add 12 to both sides of the equation

6x−12=6x+8

6−12+12=6+8+12.

Answer:

35

Step-by-step explanation:

since i couldn't answer before

Answer:

30%

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Answer:

1,044

Step-by-step explanation:

Answer:

Step-by-step explanation:

1044

Answer:

sqrt299

Step-by-step explanation:

Because the loading dock and the ground are perpendicular we know that they are at a 90° angle. Therefore we can use the equation :

a=5

b= ?

c=18

(Then we can move all of the numbers together but what you do to one side you must do to the other)

 Therefore,

 (Now to make b a single variable we must square root both sides)

 Therefore,

Now with all of these as numbers, we can plug this into a calculator *For all of those who have teachers who need EVERY Step see below I continue

  Where  and

(approximately)

Answer:

heck ya

Step-by-step explanation:

Answer:  The answer is NOT Letter B

C. y = 1/4x^2

Step-by-step explanation:  I used math.way

A.    y = x^2  = Rewrite in vertex form and use this form to find the vertex ( h , k ) .  ( 0 , 0 )    =Find the vertex form.  y = x 2

B.    y = 1/4x^2 + 1  = Rewrite in vertex form and use this form to find the vertex  ( h , k ) .   ( 0 , 1 )    =Find the vertex form.   y = 1 /4 ⋅ ( x + 0 ) 2 + 1

C.    y = 1/4x^2  = Rewrite in vertex form and use this form to find the vertex  ( h , k ) .   ( 0 , 0 )  =Find the vertex form.   y = 1 /4 x 2

D.    y = 1/4( x - 2)^2 + 1  = Rewrite in vertex form and use this form to find the vertex  ( h , k ) .   ( 2 , 1 )    = Already in vertex form.   y = 1 /4 ( x − 2 ) 2 + 1

Answer:

75%

Step-by-step explanation:

now we can see that our fraction is 75/100 which means that 42/56 as a percentage is 75%

Answer:

It has been a long time since I was even thinking about this, but I got 33 for the first one and I know how you feel, stay strong, you have a long time until you are finished

Step-by-step explanation:

(this might and probobly is wrong)

Answer:

y = -6/7x - 10/7

Step-by-step explanation:

(-4,2) and (3,-4)

Slope: - 6/7

Take any point: (-4,2)

y-intercept: 2 - (- 6/7)(-4) = -10/7