The length of the prism is m.
The width of the prism is m.
The height of the prism is m.
The prism holds a total of cubes.
The volume is m3.​

Answer:

38π cubic units

Step-by-step explanation:

The volume V = ∫₀²πy²dx  

Since y = 3x + 1, dy = 3dx ⇒ dx = dy/3

So, when x = 0, y = 3(0) + 1 = 0 + 1 = 1

when x = 2, y = 3(2) + 1 = 6 + 1 = 7

So, changing the variable to y and the limits of integration from y = 1 to y = 7, we have

V = ∫₀²πy²dx

V = π∫₁⁷y²dy/3

V = π[y³/3]₁⁷/3

V = π[y³]₁⁷/9

V = [7³ - 1³]π/9

V = [343 - 1]π/9

V = 342π/9

V = 38π cubic units

Step-by-step explanation:

Write what you know

mean is: Sum of all data points / Number of data points

any unknown number we'll call x

so youd write

(x + $3191) / 2 = $4444

Solve for x

let me know if you need further help

Answer:

Step-by-step explanation:

Given,

Dimensions of the rectangular garden = 2x+11, 3x + 5

Therefore ,

Area of the rectangular garden

= (2x+11) × (3x + 5)

= 3x(2x + 11) + 5(2x + 11)

[tex] = {6x}^{2} + 33x + 10x + 55[/tex]

[tex] = 6 {x}^{2} + 43x + 55(ans)[/tex]

Answer:

x=8

Step-by-step explanation:

so since the whole thing should equal 180, and the right triangle is 90,

(3x+11)+(5x+15)=90 then solve for that

8x+26=90

8x=64

divide both sides by 8

so x=8

then plug in 8 for the xs so c is 3(8)+11 --> 24+11 so m<C=35*

m<D=90*

5(8)+15    40+15 so m<E=55

Answer:

28

Step-by-step explanation:

V = (1/3)Bh

V = (1/3)(7 ft)(2 ft)(6 ft)

V = 28 ft^3

Answer:

Step-by-step explanation:

45=15+x

45-15=x

30=x

Answer:

9 plus 11 plus 12 =

Step-by-step explanation:

x is 22

Answer:

2 cm

Step-by-step explanation:

Answer:

Quadrant I and quadrant IV

Step-by-step explanation:

Given that cos x< 0

x < arccos 0

x < 90degres

Since cos s positive in the first and 4th quadrant, hence the angle lies in the Quadrant I and quadrant IV

Answer:

it should be 80

Answer:

4 x 3 = 12, 12 x 1/2 = 6

6(area of one triangle) x 4(there are 4 sides) = 24

4 x 4 = 16(area of bottom)

Add given areas:

24 + 16 = 40

Answer:

(47,16)

Step-by-step explanation:

System of Equations Problem.

Solve v(7)+b(6)=394;v(3)+b(12)=612

Solve 6b+7v=394 for b

Add -7v to both sides.

6b+7v+−7v=394+−7v

6b=−7v+394

Divide both sides by 6.

[tex]b=\frac{-7}{6} v+\frac{197}{3}[/tex]

Substitute [tex]b=\frac{-7}{6} v+\frac{197}{3}[/tex] for b in 12b+3v=612

12b+3v=612

[tex]12(\frac{-7}{6} v+\frac{197}{3} )+3v=612[/tex]

Simplify both sides of the equation.

−11v+788=612

Add -788 to both sides.

−11v+788+−788=612+−788

−11v=−176

[tex]\frac{-11v}{-11} =\frac{-176}{-11}[/tex]

v=16

Substitute 16 for v in [tex]b=\frac{-7}{6} v+\frac{197}{3}[/tex]

[tex]b=\frac{-7}{6} v+\frac{197}{3}[/tex]

[tex]b=\frac{-7}{6}(16)+\frac{197}{3}[/tex]

Simplify both sides of the equation.

b=47

Answer:

b=47 and v=16

Answer:

5 hours, y= how much money it will cost, and x represents how many hours

Step-by-step explanation:

y= 15x+45

120= 15x+45

-45 -45

75= 15x

75/15×= 5 hours

The prisms might have different base areas, which would contribute to overall having different surface areas even if the altitude (aka height) of each prism was the same.

n & n - 1 are two consecutive numbers which means one of is surely even and the other one is odd.

_______________________________

Suppose that n is an even number;

So we can right n like this :

n = 2t

Thus :

n - 1 = 2t - 1

_______________________________

n( n - 1 ) = 2t( 2t - 1 ) = 2 ( 2t^2 - t )

= 2 ( q ) = 2q

The number obtained is a multiple of 2, so it is definitely even because all numbers are even multiples of 2.

Answer:

x = 1

y =

5x + 2y = 13

x + 2y = 9

Add both equations.

6x + 4y = 22

Solve for x.

6x = 22 - 4y

x = 22/6 - 4/6y

step-by-step explanation:

Put x as 22/6 - 4/6y in the second equation and solve for y.

22/6 - 4/6y + 2y = 9

-4/6y + 2y = 9 - 22/6

4/3y = 16/3

y = 16/3 × 3/4

y = 48/12

y = 4

Put y as 4 in the first equation and solve for x.

5x + 2(4) = 13

5x + 8 = 13

5x = 13 - 8

5x = 5

x = 5/5

x = 1

Answer:

height of the cuboid=480/(12×8)

=480/96

=5 cm

Answer:

21

Step-by-step explanation:

The Answer is 18

Hope this helps! :)

(sorry I am a bit late)

Answer:

18 is correct on edge

Answer: I think it’s the first one

Step-by-step explanation:

It says per hour and 15 bucks plus 5 bucks PERhour so you would have to be multiplying I did a question like this long ago hope you get it right

The equation represents this linear relationship for total cost is y= 5x + 15​  thus option (D) is correct.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

As per the given,

She charges a flat fee of $15 plus $5 per hour.

For x number of hours, the total cost will be as,

y = 15 + 5x

Hence "y= 5x + 15 is the equation that depicts this linear relationship for total cost". ​

For more about the linear function,

brainly.com/question/21107621

#SPJ2

Answer: Line 4

Step-by-step explanation: The slope of this line is angled downward. The others are either angled upward or straight up. The vertical and horizontal lines have 0 in their slopes. So, line 4 is the only line with a negative slope because it has a negative number in the slope. ((x,y), y would be negative.)

Answer:

Hi, there your answer will D.4

Step-by-step explanation:

Also, if you need help finding what slope is negative or positive use this chart to help you

Hope this Helps :)

Answer:

d = 14

Step-by-step explanation:

6d = 84

Divide each side by 6 to isolate d

6d/6 = 84/6

d =14

Answer:

24

Step-by-step explanation:

The unit rate of 4:5 is 0.8 because 4 divided by 5 is 0.8

0..8 x 30= 24

Answer:

Step-by-step explanation:

here,x1=4,y1=3,x2=x and y2=5

slope=2/3

use formula

slope=y2-y1/x2-x1

2/3=5-3/x-4

2/3=2/x-4(do cross multiplication)

2(x-4)=3*2

2x-8=6

2x=6+8

x=14/2

x=7

Answer:

The minimum number of hours is 43.

Step-by-step explanation:

Total money required = $ 800

Saved money = $ 290

Per hour income = $ 12

Let the number of hours be n.

According to the question

[tex]290 + 12n \geqslant 800\\\\12 n \geqslant 510\\\\n\geqslant 42.5[/tex]

So, the minimum number of hours is 43.

Answer:

800 - 290 = 510.  510 = 12h

Step-by-step explanation:

$800 is the amount he is trying to save.

$290 is the amount he has so far.

$800 - $290 = $510.

$510 is the amount more he needs to earn.

12h.

12 represents the amount he is paid every 1 hour

H represents the hours he works.

Answer:

(-2,0), (-1,1), (0,2)

Step-by-step explanation:

Answer:

average is 13.6

Step-by-step explanation:

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

Explanation:

Let x be the angle measure of that dark area. That angle x must add to the other angles 25, 90, and 25 to get a full 360 degree rotation.

So,

x+25+90+25 = 360

x+140 = 360

x = 360-140

x = 220

The dark area angle is 220 degrees

This is known as a reflex angle due to it being larger than 180 degrees, but it's less than 360 degrees. In symbolic terms, any reflex angle is one such that 180 < x < 360.

Answer:

16

Step-by-step explanation:

number = n

n/2 + 3 = n - 5

n/2 - n = -8

-n/2 = -8

n/2 = 8

n = 16

Answer:

Option C.

Step-by-step explanation:

We start with the expression:

[tex]\sqrt{y^3} + \sqrt{16*y^3} - 4*y\sqrt{y}[/tex]

where y > 0. (this allow us to have y inside a square root, so we don't mess with complex numbers)

We want to find the equivalent expression to this one.

Here, we can do the next two simplifications:

[tex]\sqrt{16*y^3} = \sqrt{16} \sqrt{y^3} = 4*\sqrt{y^3}[/tex]

And:

[tex]y*\sqrt{y} = \sqrt{y^2} *\sqrt{y} = \sqrt{y^2*y} = \sqrt{y^3}[/tex]

If we apply these two to our initial expression, we can rewrite it as:

[tex]\sqrt{y^3} + \sqrt{16*y^3} - 4*y\sqrt{y}[/tex]

[tex]\sqrt{y^3} + 4*\sqrt{y^3} - 4\sqrt{y^3} = \sqrt{y^3}[/tex]

Here we can use the second simplification again, to rewrite:

[tex]\sqrt{y^3} = y*\sqrt{y}[/tex]

So, concluding, we have:

[tex]\sqrt{y^3} + \sqrt{16*y^3} - 4*y\sqrt{y} = y*\sqrt{y}[/tex]

Then the correct option is C.

Answer:

C:YsqrtY

Step-by-step explanation:

A P E X:L E A R N I N G

Answer:

Dans 3 ans  l’âge du père sera le triple de celui de sa fille

Step-by-step explanation:

X= années qui doivent passer

3(12+X ) = 42 +X

36+ 3X = 42 +X

2X = 6

X = 3

La fille   15 ans

Le  père 45 ans   (15x3=45)