Find the volume of the following cube.

A. 12 cubic yards

B. 16 cubic yards

C. 46 cubic yards

D. 64 cubic yards​

if 5/8 is given in the question, then YES. If not, then NO

Answer:

[tex]\mathbf{4 \lim \limits _{n \to \infty} \sum \limits ^n_{i=1} \Big ( \dfrac{n(n+4i)}{2n^3 +(n+4i)^3} \Big )}[/tex]

Step-by-step explanation:

Given integral:

[tex]\int ^5_1 \dfrac{x}{2+x^3} \ dx[/tex]

[tex]\mathbf{Using \ Riemann \ sums; \ we \ have: }[/tex]

[tex]\int ^b_a \ f(x) \ dx = \lim_{n \to \infty} \sum \limits ^n_{i =1} \ f( a + i \Delta x) \Delta x[/tex]

[tex]here; \ \Delta x = \dfrac{b-a}{n}[/tex]

∴

[tex]\int ^5_1 \dfrac{x}{2+x^3} \ dx = f(x) = \dfrac{x}{2+x^3}[/tex]

[tex]\implies \Delta x = \dfrac{5-1}{n} =\dfrac{4}{n}[/tex]

[tex]f(a + i \Delta x ) = f ( 1 + \dfrac{4i}{n})[/tex]

[tex]f( 1 + \dfrac{4i}{n}) = \dfrac{n^2 ( n+4i)}{2n^3 + (n + 4i)^3}[/tex]

[tex]\lim_{n \to \infty} \sum \limits ^n_{i=1} \ f(a + i \Delta x) \Delta x = \lim_{n \to \infty} \sum \limits ^n_{i=1} \Big ( \dfrac{n^2(n+4i)}{2n^3 +(n+4i)^3} \Big )\dfrac{4}{n}[/tex]

[tex]\mathbf{= 4 \lim \limits _{n \to \infty} \sum \limits ^n_{i=1} \Big ( \dfrac{n(n+4i)}{2n^3 +(n+4i)^3} \Big )}[/tex]

Step-by-step explanation:

To get from point (4,4) to (10,10), it is the same as ordering 6 Upward and 6 Right arrows in a straight line.

=> 12C6 = 924.

However there is a restriction that we cannot have 3 Upward and 3 Right arrows as our first 6 arrows.

=> 6C3 * 6C3 = 20 * 20 = 400

Hence there are 924 - 400 = 524 different ways.

Answer:

they need to wash 39 cars

Step-by-step explanation:

600-61=539

539/14=38.5

round to 39

Answer:

D.By finding the unit rate and multiplying it by 7.

Step-by-step explanation:

I believe it's A. B. and C.

Step-by-step explanation:

B is closest to y-axis

A isn't aligned with b

Answer:

Yusuf walked 2.8 miles.

Step-by-step explanation:

r = 4 miles / hour

t = 0.7 hours.

d = r*t

d = 4 * 0.7

d = 2.8 miles

All 3 sides of the triangle are the same, which means all 3 inside angles are the same. Each inside angle is 60 degrees.

We now have 3x = 60

Divide both sides by 3:

x = 60/3

x = 20

Answer:

As in the given figure, all the sides are equal i.e., 5 units

It is a equilateral triangle.

In equilateral triangle all the angles are 60°.

[tex]3x = 60 \\ x = \frac{60}{3} \\ \boxed{x = 20}[/tex]

Answer:

9 is not a prime number.

Answer:

9 is not a prime number. Hope that helps.

Answer: 340 children

a quarter is 1/4.

1,360 is the total number of children.

1,360 ÷ 4 = 340

Answer:

-18

Step-by-step explanation:

*2, *(-2), *2, *(-2) ...

Answer:

-18

Step-by-step explanation:

we know that in parallelogram diagonals bisect each other. So.

TX = VX

c + 30 = 16c

16c - c = 30

15c = 30

c = 30 / 15

c = 2

The value of c should be 2 so that it makes a parallelogram.

Answer:

M<E=T M<T=E

Step-by-step explanation:

As you can see in the trapezoid the show you only one two sides that are equals so that's mean that the angles are congruent each other.  

Answer:

[tex]m\angle E=118^{\circ},\: m\angle T=118^{\circ}[/tex]

Step-by-step explanation:

As the diagram is marked, [tex]WE=WT[/tex] and [tex]SE=ST[/tex]. Therefore, [tex]m\angle E=m\angle T[/tex]. Since the interior angles of all quadrilaterals add up to be [tex]360^{\circ}[/tex], we can write the following equation:

[tex]29^{\circ}+95^{\circ}+m\angle E+m\angle T = 360^{\circ}[/tex]

Subtract 29 and 95 from both sides to get [tex]m\angle E+m\angle T=236^{\circ}[/tex].

As we found earlier, [tex]m\angle E=m\angle T[/tex].

Therefore [tex]m\angle E=m\angle T=\frac{236}{2}=\fbox{$118^{\circ}$}[/tex].

Answer:

3/4=9/12

Step-by-step explanation:

3x3= 9

4x3= 12

Answer:

something like f(t)=t+3

Step-by-step explanation:

Answer:

Answer is D=2

Step-by-step explanation:

because when i divide variables it gets me the answer

Answer:

it right

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

140/350=0.4

0.4 x 100=40

Answer:

x = 20 (degrees)

y = 70 (degrees)

Step-by-step explanation:

The angle adjacent to the one labeled 40° is supplementary, so it would measure 140°. And the obtuse triangle is an isosceles, which means that x is half of 180° - 140°, so x = 1/2(40°) = 20°

To find y, subtract 90° and x from 180°

y = 180° - 90° - 20°

y = 70°

Answer:

x = 20 and y = 70

Step-by-step explanation:

x = 20 and y = 70

Answer:

A scale factor is usually a decimal which scales, or multiplies, some quantity. In the equation y = Cx, C is the scale factor for x. C is also the coefficient of x, and may be called the constant of proportionality of y to x.

Answer:

where is the question

Step-by-step explanation:

Answer:

what's the question I can't see it

Answer:

The number of units decreased by [tex]8.7\%[/tex].

Step-by-step explanation:

Initially, 470 units were sold. The following 429 units were sold, meaning this was [tex]470-429=41[/tex] less units than last year. Thus, the number of units sold decreased and the percent of decrease is:

[tex]\frac{41}{470}\approx 8.7\%[/tex]

Answer:

[tex]\frac{3}{2}[/tex] x - 3 = y

Step-by-step explanation:

The answer is the third equation.

This is because the y-intercept is -3 and the x-intercept is at (2,0) (you can find the x-intercept by making "y" = 0). The only equation that has both of these is the third one.

Answer:

17.81, but I would estimate 17.80 so it doesnt look exact.

Step-by-step explanation:

Answer:

75 Hours

Step-by-step explanation:

First, you'd have to find out how many times 5 dollars can fit into 2700 dollars. You'd simply just divide 2700 by 5. You will get 540.

Next, multiply 8 minutes and 20 seconds by 540. We know that 20 seconds is a third of a minute, so we'll convert 8 minutes and 20 seconds to 8.33 (repeated) minutes.

8.33 (repeated) multiplied by 540 will give you 4500 minutes.

Next, just divide 4500 minutes by 60, and you'll get 75 hours.

what are the options

Answer:

About 3

Step-by-step explanation:

Step-by-step explanation:

10 men =4 days

8 men =x days

cross multiply

10×x=8×4=24

Answer:

r=12

Step-by-step explanation:

r=12

circumference of arc = theta/360*2πr=3π given

Pi cancels

theta/360*2*12=3

theta*6/90=3

theta*3/45=3

3 cancels,45 to the other side

theta=45 degrees

This should do it :)

Answer:

After 10 years, the population of the town will be of 5905.

After 50 years, the population of the town will be of 11487.

Step-by-step explanation:

The population of the town after x years is given by the following equation:

[tex]P(x) = 5000(1.181)^{0.1x}[/tex]

After 10 years, the population of the town will be of:

This is P(10). So

[tex]P(10) = 5000(1.181)^{0.1*10} = 5000(1.181)^1 = 5905[/tex]

After 10 years, the population of the town will be of 5905.

After 50 years, the population of the town will be of:

This is P(50). So

[tex]P(50) = 5000(1.181)^{0.1*50} = 5000(1.181)^5 = 11487[/tex]

After 50 years, the population of the town will be of 11487.