The formula for the volume of a sphere is V=4/3πr³, where V is the volume and r is the radius. Solve the formula for r, and then use it to answer the question.

The volume of a soccer ball is about 371 cubic inches.

What is the radius of the soccer ball, to the nearest tenth of an inch? Use 3.14 for π. Help.

Answer:

100 x1 + 130 x2 + 16 x3 = 4758

120 x1 + 180 x2 + 28 x3 = 6504

160 x1 + 190 x2 + 10 x3 = 6720

pt 2

x1 = 15

x2 = 21

x3 = 33

Step-by-step explanation:

From the linear system , number of widgets produced per hour for each machine are x1 = 0.015 units, x2 = 0.021units, and x3 = 0.033units.

" Linear system is defined as the model of  the given system which represents set of two or more linear equations."

According to the question,

Linear system formed as per the data given,

[tex]100x_{1} +130x_{2} +16x_{3} = 4.758[/tex]                   ____(1)

[tex]120x_{1} +180x_{2} +28x_{3}= 6.504[/tex]                   ____(2)

[tex]160x_{1} +190x_{2} +10x_{3} = 6.720[/tex]                   ____(3)

Multiply linear equation (1) by 7 and ( 2) by 4 we get,

[tex]700x_{1} +910x_{2} +112x_{3} = 33.306\\480x_{1} +720x_{2} +112x_{3} = 26.016[/tex]

Subtract above linear equation to eliminate [tex]x_{3}[/tex] we get,

[tex]220x_{1} +190x_{2} = 7.29[/tex]                              ____(4)

Multiply linear equation(2) by 5 and ( 3) by 14 we get,

[tex]600x_{1} +900x_{2} +140x_{3} = 32.52\\2240x_{1} +2660x_{2} +140x_{3} =94.08[/tex]

Subtract above linear equation to eliminate [tex]x_{3}[/tex] we get,

[tex]1640x_{1} +1760x_{2} = 61.56\\\\4( 410x_{1} +440x_{2}) = 61.56[/tex]

[tex]410x_{1} +440x_{2}= 15.39[/tex]                         ____(5)

Multiply linear equation (4) by 88 and ( 5) by 38 we get,  

[tex]19360x_{1} +16720x_{2} = 641.52\\\\15580x_{1} +16720x_{2} = 584.82[/tex]

Subtract above linear equation to eliminate [tex]x_{2}[/tex] we get,

[tex]3780x_{1} =56.7[/tex]

⇒[tex]x_{1} =0.015[/tex]

Substitute the value of [tex]x_{1}[/tex] in (5) we get,

[tex]410(0.015) +440x_{2}= 15.39[/tex]

⇒[tex]x_{2} =0.021[/tex]

Substitute the value of [tex]x_{1} and x_{2}[/tex] in (1) we get,

[tex]100(0.015) +130(0.021) +16x_{3} = 4.758[/tex]

⇒[tex]x_{3} = 0.033[/tex]

Hence, number of widgets produced per hour for each machine are x1 = 0.015 units, x2 = 0.021units, and x3 = 0.033units.

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Answer: 23.333

Step-by-step explanation:

Look at the photo for explanation and answer

Answer:

$0.49 hope this helps you out

Answer:

Step-by-step explanation:

aₙ₊₁ = aₙ + d

a₁₉ = a₁₈ + d

- 7 = a₁₈ + (-17)

a₁₈ = - 7 +17

a₁₈ = 10

Answer:

20

Step-by-step explanation:

Since the triangles are similar, we can use ratios to solve

12        ?

----- = -------

3         5

Using cross product

12*5 = 3?

60 = 3?

Divide each side by 3

60/3 = 3?/3

20 = ?

The unknown side is 20

Answer:

20

Step-by-step explanation:

Since the triangles are similar, all the side lengths can be multiplied by a scale factor,

12/3 = 4, so the scale factor is 4, which

5 x 4 = 20, so the missing side length is 20

Answer:

Yes

Step-by-step explanation:

Step 1: Define

12x - 10x⁵ - 7 + 3x⁴

-10x⁵ + 3x⁴ + 12x - 7

Step 2: Rearrange both equations into standard form

-10x⁵ + 3x⁴ + 12x - 7

-10x⁵ + 3x⁴ + 12x - 7

We see both are equivalent.

C. Plot points C and D and draw a ray through them using C or D as an endpoint.

Answer:

z= 68

Step-by-step explanation:

First Step is to distribute... This simply means to remove the brackets so we have to multiply 4 by both z and 6... lets go...

4 (z + 6) = 296

4z + 24 = 296

Secondly, Send all letters on one side of the equal sign (preferrable the left) and all numbers on the other side...Just remember when ever you sending a letter or number across the equal sign, the sign of the number/letter changes... i.e it will change from positive (+) to negative (-) or vice versa... lets go...

4z + 24 = 296

4z = 296 - 24

4z = 272

z = 272/4

z = 068

to answer this question u have to tell me the size of the bear or its not solvabal

Answer:

105.7

Step-by-step explanation:

Answer:

u = 4

Step-by-step explanation:

1. Distribute the 2 into the parenthesis.

2(4u-9) = 14

x2 x2

8u - 18 = 14

2. Try to get your variable on one side.

8u - 18 = 14

+18 +18

8u = 32

3. Last is to divide so your variable is on the left side of the equation.

8u = 32

÷8. ÷8

u = 4

Answer:

x = [tex]\frac{56}{3}[/tex]

Step-by-step explanation:

Given

[tex]\frac{9}{24}[/tex] = [tex]\frac{7}{x}[/tex] ( cross- multiply )

9x = 168 ( divide both sides by 9 )

x = [tex]\frac{168}{9}[/tex] = [tex]\frac{56}{3}[/tex]

Answer:

x = 56/3

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ 9/24 = 7/x

Then the value of x will be,

→ 9/24 = 7/x

→ 9 × x = 7 × 24

→ 9x = 168

→ x = 168/9

→ [ x = 56/3 ]

Hence, the value of x is 56/3.

Answer:

6

Step-by-step explanation:

Answer:

(-9,5)

Step-by-step explanation:

the midpoint occurs 5 units to the right of the endpoint. using this we can deduce that the other endpoint should also be 5 units right to the midpoint

Answer:

(f + g)(x) = -x + 6

Step-by-step explanation:

Step 1: Define

f(x) = -3x + 6

g(x) = 2x

Step 2: Find (f + g)(x)

(f + g)(x) = -3x + 6 + 2x

(f + g)(x) = -x + 6

Answer:

-x +6

Step-by-step explanation:

f(x) = -3x + 6

g(x) = 2x

(f + g)(x)= Add the two functions

            = -3x + 6 + 2x

Combine like terms

            = -x +6

Answer: m = -⅖

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

Answer:

6(x) + 8 [tex]\geq[/tex] 32

x = 4, 3, 2, 1, 0

Step-by-step explanation:

This is the answer because:

1) 8 more than 6 times a number is 6 times x + 8

6(x) + 8

2) "is at least 32" means 6(x) + 8 [tex]\geq[/tex] 32

3) x = 4, 5, 6, 7, 8 and etc. because -8 from +8 and 32

6(x) = 24

4) 6(4) = 24

5) x can equal anything less than 4

Therefore, the inequality is 6(x) + 8 [tex]\geq[/tex] 32 and x = 4, 3, 2, 1, 0

Hope this helps! :D

Answer:

alright

Step-by-step explanation:

the first question X=77

and the second is B

the other answer was correct before mine give them brainliest

Answer:

77 degrees, B

Step-by-step explanation:

the size of angle x is also 77 degrees like angle ABF because of the alternate angles theorem which states that alternate angles have the same degree measure.

Answer:

169

Step-by-step explanation:

13*13=169

We can split the two 13's up:

(10+3)(10+3)

Multiply 10 with 10, 10 with 3, 3 with 10, and 3 with 3.

Basically, just multiply every single term together.

100+30+30+9

100+69

169

Hope this helps!

Answer:

169

Step-by-step explanation:

Answer:

g = 16/3

Step-by-step explanation:

Answer:

g=16/13

Step-by-step explanation:  

3g - 6 + 2g + 1 = 11 - 8g

     5g   - 5  = 11  - 8g

__ +8g________+8g____

     13g   - 5   = 11

 ______+5__+5____

     13g   =       16/13

And 16 goes into 13 once same with 13 going into 16 so it can't be simplified.

your answer is g= 16/13

Answer:

Option (A)

Step-by-step explanation:

Domain of a function is defined by the x-values (input values) on the graph.

Range of a function is defined by the y-values (output values).

For a function having equation as,

y = x

Since, the given function is defined for all real numbers.

Domain of the function: {x | x ∈ R}

Range of the function: {y | y ∈ R}

Therefore, option (A) will be the answer.

Answer:

Option C: C and D

Step-by-step explanation:

A function, as a rule, can't have multiple output for an input. Also try the vertical line test. If there is more than one point in an imaginary vertical line, then it is not a function.

Answer:

4(4x-3)=63

X=4.6875

Step-by-step explanation:

Answer:

x + 11

Step-by-step explanation:

out you're going from -3 to 8 and that is 11 jumps so if x is -3 then it would be  x + 11

Answer:

D. The square root of 84

Step-by-step explanation:

the square root of 84 = 9.16515138991...

Answer:

The number would have to be added is 9

Step-by-step explanation:

To find the form of the completing square of the quadratic function:

Let us do these steps with our question

∵ x² + 10x + 16 = 0

→ Divide the coefficient of x by 2

∵ The coefficient of x is 10

∴ 10 ÷ 2 = 5

→ Square the 5

∵ (5)² = 25

→ Subtract the numerical term from 25

∵ The numerical term = 16

∵ 25 - 16 = 9

∴ We must add 9 to 16 to get 25

→ (x² + 10x + 16 + 9) - 9 = 0

→ (x² + 10x + 25) = 9

→ (x + 5)² = 9

The number would have to be added is 9

Answer:

x is equal to negative 1/4

Step-by-step explanation:

Answer:

Negative Quarter.

Step-by-step explanation:

Simply send the letters to one side (preferrably the left) and numbers on the other side... Remember to swutch signs when you pelting the number or letter across the equal sign. i.e negative will become positive and vice versa. lets go...

7 - 5x - 5 - 7x = 5

-5x - 7x = 5 + 5 - 7

-12x = 3

x = -3/12

x = -1/4

Answer:

L = 37 yards and B = 76 yards

L = 38 yards and B = 76 yards

Step-by-step explanation:

Given:

Total length of the fence(perimeter) = 150 yards

One side is fenced using the back side of the house

So, we have

Perimeter of the fence = 2L + W

150 = 2L + W (1)

The fenced-in portion = 2,812 square yards

Area of a rectangle = L × W

2812 = L × W (2)

From (1)

150 = 2L + W

W = 150 - 2L

Substitute W = 150 - 2L into (2)

2,812 = L × W (2)

2,812 = L × (150 - 2L)

2,812 = 150L - 2L²

-2L² + 150L - 2812 = 0

2L² - 150L + 2812 = 0

Divide through by 2

L² - 75L + 1406 = 0

Solve the quadratic equation using factorization method

Find the factors

L² - 37L - 38L + 1406 = 0

L ( L - 37 ) - 38 ( L - 37 ) = 0

( L - 37 ) ( L -38 ) = 0

L - 37 = 0 or L - 38 = 0

L = 37 yards or L = 38 yards

If L = 37 yards

B = 150 - 2L

B = 150 - (2 × 37)

= 150 - 74

= 76 yards

If L = 38 yards

B = 150 - 2L

B = 150 - (2 × 38)

= 150 - 76

= 74 yards

Therefore,

The dimensions of the fence can either be

L = 37 yards and B = 76 yards

L = 38 yards and B = 76 yards

controling identifying the problem to be solved, determine the relevant information, and choose how they solve the problem. When students are given the opportunity to make choices in their classwork, they are more invested.

Answer:

y=2x+3

Step-by-step explanation:

_2y=-4x-12 and than divide dy -2 so it will be Y=2x+3.