The volume of this cylinder is 1,077.02 cubic inches. What is the radius? Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Answer:

16 inches squared

Step-by-step explanation:

We can split the figure into two rectangles. Rectangle 1 will have an area of 2*3=6. Rectangle 2 will have an area of 2*5=10

10+6=16

Answer:C=5+0.6x

Step-by-step explanation:

The equation that represents the total cost will be C = 0.60x + 5.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

A pumpkin patch charges a $5 entrance fee and $0.60 per pound for pumpkins.

Let x be the number of pounds of pumpkin and C be the total cost in dollars.

Then the equation that represents the total cost will be

C = 0.60x + 5

The equation that represents the total cost will be C = 0.60x + 5.

More about the linear equation link is given below.

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Answer:

y = -x + 10

Step-by-step explanation:

Find the slope:

0 - 6 / 10 - 4 = -6/6 = -1.

Put it in point-slope form:

y - 0 = -1(x - 10)

rearrange:

y = -x + 10

Answer:

They each receive 5.40 pounds of hay

Step-by-step explanation:

16 1/5 ÷3 = 5.40 I checked it by multiplying 5.40×3 and I got the same answer so it should be correct!

Answer:

6x - 27

Step-by-step explanation:

3 x 2x - 3 x 9 =

6x - 27

Hope that helps!

Answer:

6x - 27

Step-by-step explanation:

Answer:9/2 km per hour

Step-by-step explanation:

equation,

6/9-x + 6/x=8/3

Upstream is flowing of the boat in the opposite direction of the stream. The speed of the river current is 4.5 km per hour.

Johnny and his father go fishing at 5:00 AM.

Total traveled by the Johnny and his father in upstream is 6 km.

The speed of the boat is 9 km/h.

Upstream is flowing of the boat in the opposite direction of the stream.

Let x be the speed of the river current.

Time taken by the Johnny and his father to travel 6 km in upstream is ,

[tex]=\dfrac{6}{9-x}[/tex]

The time taken by the bottle to floats in the current river is,

[tex]=\dfrac{6}{x}[/tex]

As Johnny and his father start from 5:00 AM and the bottle reached to the point where Johnny and his father began their trip at 7:40 AM. Thus the total time is,

[tex]=7:40-5:00[/tex]

[tex]=2:40[/tex]

In hours,

[tex]=2\dfrac{40}{60}[/tex]

[tex]=\dfrac{8}{3}[/tex]

As the total time is equal to the sum of the Time taken by the Johnny and his father to travel 6 km in upstream and The time taken by the bottle to floats in the current river. Thus,

[tex]\dfrac{6}{9-x}+\dfrac{6}{x}=\dfrac{8}{3}[/tex]

[tex]\dfrac{6x+54-6x}{9x-x^2}= \dfrac{8}{3}[/tex]

[tex]\dfrac{27}{9x-x^2}= \dfrac{4}{3}[/tex]

[tex]x^2-9x+\dfrac{81}{4}=0[/tex]

On solving the above quadratic equation we get the positive value of the x is 4.5.

Thus the speed of the river current is 4.5 km per hour.

Learn more about the upstream here;

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Answer:

81

Step-by-step explanation:

First we go with exponents, 2x2=4 and 5x2=25. Now we go with what's inside the parentheses so, 4 (Originally 2x2) plus 4 plus 6, which equals 14. Now we multiply 4 and 14, which equals 56. Then we add 56 and 25 which equals 81.

Answer:

x = -2/15 & y = 3/5

Step-by-step explanation:

- 12x + 9y = 7 ...(1) ; 3x + 4y = 2 ...(2)

Multiply both sides of (2) by 4:

12x + 16y = 8

Add the new equation & (1):

12x + 16y = 8

-12x + 9y = 7

0 + 25y = 15 => y = 15/25 = 3/5

Thus, substitute the value of y in (2):

3x + 4y = 2 => 3x = 2 - 4(3/5) = (10-12)/5

=> 3x = -2/5

=> x = - 2/15

Answer:

[tex]x=-\frac{2}{15}=-0.133333333\\y = \frac{3}{5}= 0.6[/tex]

Step-by-step explanation:

−12x+9y=7

3x+4y=2

​In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.

−12x+9y=7,3x+4y=2

To make −12x and 3x equal, multiply all terms on each side of the first equation by 3 and all terms on each side of the second by −12.

3(−12)x+3×9y=3×7,−12×3x−12×4y=−12×2

Simplify.

−36x+27y=21,−36x−48y=−24

Subtract −36x−48y=−24 from −36x+27y=21 by subtracting like terms on each side of the equal sign.

−36x+36x+27y+48y=21+24

Add −36x to 36x. Terms −36x and 36x cancel out, leaving an equation with only one variable that can be solved.

27y+48y=21+24

Add 27y to 48y.

75y=21+24

Add 21 to 24.

75y=45

Divide both sides by 75.

y=3/5

Substitute 3/5 for y in 3x+4y=2. Because the resulting equation contains only one variable, you can solve for x directly.

3x+4×(3/5)=2

Multiply 4 times 3/5

3x+12/5=2

Subtract 12/5 from both sides of the equation.

3x=-2/5

Divide both sides by 3.

x=-2/15

The system is now solved.

x=−2/15 ,y=3/5

​

Answer:dvd

Step-by-step explanation:ube

Answer:

hmmm

Step-by-step explanation:

Answer: 400 cm

Step-by-step explanation:

create a ratio

1 is to 40 as 10 is to x

1/40 = 10/x

multiply both sides by 40 and divide by x

x = 400

Answer:

its 220

Step-by-step explanation:

There are 220 ways supermarket chains can select 3 out of 12 possible sites for the construction of a new supermarket.

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

We have:

Supermarket chains select 3 out of 12 possible sites for the construction of a new supermarket.

As we know,

[tex]\rm C(n, r) =\dfrac{n!}{( r! (n - r)! )}[/tex]

n = 12

r = 3

[tex]\rm C(12, 3) =\dfrac{12!}{( 3! (12 - 3)! )}[/tex]

C(12, 3) = 220

Thus, there are 220 ways supermarket chains can select 3 out of 12 possible sites for the construction of a new supermarket.

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Answer:

-13

Step-by-step explanation:

Answer:

1152 in^3

Step-by-step explanation:

Given data

Area of the box= 144 in^2

Height = 9 in

Volume=??

We know that

volume= Area* Height

substitute

volume= 144*8

volume= 1152 in^3

Hence the volume will be 1152 in^3

Answer:

thase is the answer and good luck

Answer:

21

Step-by-step explanation:

Set it up as 7/4 x 12/1.  Multiply the numerators and denominators.  That equals 84/4 which simplifies to 21.

Answer:

Yes. They all have the same angle measurements making them similar.

Answer:

x=3, y=-1. (3, -1).

Step-by-step explanation:

6x+y=17

-9x+5y=-32

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

-5(6x+y)=-5(17)

-9x+5y=-32

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

-30x-5y=-85

-9x+5y=-32

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

-39x=-117

39x=117

x=3

6(3)+y=17

18+y=17

y=17-18

y=-1

Answer:

hey

Step-by-step explanation:

Answer:

I don't know how to solve it

Answer:

x^2 + 3x + 9 + 7/x-3

Answer:

The 90% confidence interval for the difference in mean (μ₁ - μ₂) for the two bakeries is; (49) < μ₁ - μ₂ < (289)

Step-by-step explanation:

The given data are;

Bakery A

[tex]\overline x_1[/tex] = 1,880 cal

s₁ = 148 cal

n₁ = 10

Bakery B

[tex]\overline x_2[/tex] = 1,711 cal

s₂ = 192 cal

n₂ = 10

[tex]\left (\bar{x}_1-\bar{x}_{2} \right ) - t_{c}\cdot \hat \sigma \sqrt{\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}}}< \mu _{1}-\mu _{2}< \left (\bar{x}_1-\bar{x}_{2} \right ) + t_{c}\cdot \hat \sigma \sqrt{\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}}}[/tex]

df = n₁ + n₂ - 2

∴ df = 10 + 18 - 2 = 26

From the t-table, we have, for two tails, [tex]t_c[/tex] = 1.706

[tex]\hat{\sigma} =\sqrt{\dfrac{\left ( n_{1}-1 \right )\cdot s_{1}^{2} +\left ( n_{2}-1 \right )\cdot s_{2}^{2}}{n_{1}+n_{2}-2}}[/tex]

[tex]\hat{\sigma} =\sqrt{\dfrac{\left ( 10-1 \right )\cdot 148^{2} +\left ( 18-1 \right )\cdot 192^{2}}{10+18-2}}= 178.004321469[/tex]

[tex]\hat \sigma[/tex] ≈ 178

Therefore, we get;

[tex]\left (1,880-1,711 \right ) - 1.706\times178 \sqrt{\dfrac{1}{10}+\dfrac{1}{18}}< \mu _{1}-\mu _{2}< \left (1,880-1,711 \right ) + 1.706\times178 \sqrt{\dfrac{1}{10}+\dfrac{1}{18}}[/tex]

Which gives;

[tex]169 - \dfrac{75917\cdot \sqrt{35} }{3,750} < \mu _{1}-\mu _{2}< 169 + \dfrac{75917\cdot \sqrt{35} }{3,750}[/tex]

Therefore, by rounding to the nearest integer, we have;

The 90% C.I. ≈ 49 < μ₁ - μ₂ < 289

Answer:

0,8

Step-by-step explanation:

Answer:

26.4° (nearest tenth)

Step-by-step explanation:

[tex]\boxed{sinθ = \frac{opp}{hyp} }[/tex]

[tex]sinx = \frac{4}{9} [/tex]

Taking the inverse of sine on both sides:

[tex]x = sin^{ - 1} ( \frac{4}{9} )[/tex]

x= 26.4° (nearest tenth)

Answer:

ITS A

Step-by-step explanation:

PLZ GIVE BRAINLEIST

180° - (60° + 84°) = 180° - 144° = 26°