Which are the points labeled to show the solution to the system of the equations?

Answer:

i. The surface area of the ball is approximately 28.0 square inches.

ii. The volume of the ball is approximately 14.0 cubic inches.

Step-by-step explanation:

The ball has the shape of a sphere, so that;

C = 2[tex]\pi[/tex]r

9.4 = 2 x [tex]\frac{22}{7}[/tex] x r

65.8 = 44r

r = [tex]\frac{65.8}{44}[/tex]

r = 1.50 inches

The radius of the ball is 1.50 inches.

i. Surface area of a sphere = 4[tex]\pi[/tex][tex]r^{2}[/tex]

So that,

surface area of the ball = 4 x [tex]\frac{22}{7}[/tex] x [tex](1.5)^{2}[/tex]

                                             = 28.2857

The surface area of the ball is approximately 28.0 square inches.

ii. Volume of the ball = Volume of a sphere = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]

Volume of the ball =  [tex]\frac{4}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex](1.5)^{3}[/tex]

                               = 14.1429

The volume of the ball is approximately 14.0 cubic inches.

Answer:

Step-by-step explanation:

Remark

They are going in opposite directions. That means you add the distances.

Total Distance = Maria_d + Ming_d

Ming

d = ?

r = 48 mph

t = 3 hour

d = r * t

d = 48 * 3

d = 144 miles

Maria

d = ?

r = 54 miles / hour

t = 3 hours

d = r * t

d = 54 * 3

d = 162

Total distance

Total = 162 + 144

Total = 306 miles

Answer:

It depends were you are looking from but there is shows D. Oval so ig thats

the answer

Answer:

4/3

Step-by-step explanation:

Rounded to the nearest dollar, the average daily balance of the credit card for the August 1 through August 31 billing period is $74.

To find the average daily balance of the credit card for the August 1 through August 31 billing period, we need to calculate the sum of the daily balances and divide it by the number of days in the billing period.

Let's calculate the daily balances for each day:

Day 1: Closing Balance = $850

Day 8: Closing Balance = $300

Day 16: Closing Balance = $500

Day 24: Closing Balance = $650

To calculate the daily balances, we need to consider the activities that occurred on each day.

On Day 1, there was no activity recorded, so the closing balance remains at $850.

On Day 8, a payment of $550 was made. Therefore, the closing balance is $850 - $550 = $300.

On Day 16, a purchase of $200 was made. Therefore, the closing balance is $300 + $200 = $500.

On Day 24, a purchase of $150 was made and an adjustment of $4 was applied. Therefore, the closing balance is $500 + $150 - $4 = $650.

Now, let's calculate the average daily balance:

Sum of daily balances = $850 + $300 + $500 + $650 = $2300

Number of days in the billing period = 31

Average daily balance = Sum of daily balances / Number of days = $2300 / 31 ≈ $74.19

For more such questions on balance

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#SPJ8

Answer:

Step-by-step explanation:

Answer:

The angles opposite each other when two lines cross. They are always equal. In this example a° and b° are vertical angles.

Answer:

Step-by-step explanation:

7). (x + 3)(x + 7)

  = x(x + 7) + 3(x + 7)

  = x² + 7x + 3x + 21

  = x² + 10x + 21

8). (4x + 2)(x - 2)

  = 4x(x - 2) + 2(x - 2)

  = 4x² - 8x + 2x - 4

  = 4x² - 6x - 4

9). (3x + 2)(2x + 5)

  = 3x(2x + 5) + 2(2x + 5)

  = 6x² + 15x + 4x + 10

  = 6x² + 19x + 10

10). (x² - 6)(x - 4)

  = x²(x - 4) - 6(x - 4)

  = x³ - 4x² - 6x + 24

11). (x² + 9)(x - 3)

  = x²(x - 3) + 9(x - 3)

  = x³ - 3x² + 9x - 27

12). (4x²- 4)(2x + 1)

  = 4x²(2x + 1) - 4(2x + 1)

  = 8x³ + 4x² - 8x - 4

Answer:

2/5

Step-by-step explanation:

IXl answer

The experimental probability that the next drink sold will be a mocha is 2/5.

Number of mochas =4

Total drinks =10

Probability is the quantification of possibilities.

P(event) = Favorable outcomes/ Total outcomes

P(mocha) = 4/10

P(mocha) =2/5 =0.4 or 40%

Thus, the experimental probability that the next drink sold will be a mocha is 2/5.

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Answer:

Para conectarte al

♥️♥️♥️♥️♥️

Answer:

D. 6

Step-by-step explanation:

[tex]36 {}^{ \frac{1}{2} } = \sqrt{36} = 6[/tex]

Answer:

area is the numbers around the shape and perimeter is inside

Step-by-step explanation:

Step-by-step explanation:

30$ hope it helped I don't know if its correct though let me know if I'm wrong

Answer: $9

Step-by-step explanation: 85% off means when you multiply the number by 0.85 you subtract that from the original number, 60 times 0.85 is 51 and 60-51=9! Hope this helps!

Answer:

Surface area of rectangular prism = 250 cm²

Step-by-step explanation:

The rectangular prism is Prism B

Surface area of rectangular prism = 2lw + 2hw + 2lh

Where,

h = 10 cm

w = 5 cm

l = 5 cm

Plug in the values

Surface area of the rectangular prism = 2(5)(5) + 2(10)(5) + 2(5)(10)

= 50 + 100 + 100

= 250 cm²

Answer:

Step-by-step explanation:

1) Regular price = $ 20

Reduction  = 18% of regular price

                 = 0.18 * 20

                 = 3.6

Discount price = 20 - 3.6 = $ 16.4

2) Regular price = $ x

Reduction  = 18% of regular price

                 = 0.18 * x

                 = 0.18x

Discount price =$ (20 - 0.18x)

3) Discount price = $ 18.45

Let the regular price be x

(100 - 18)%  of x = 18.45

           82% of x = 18.45

          [tex]\frac{82}{100}*x=18.45\\\\ x = 18.45* \frac{100}{82}\\\\ x = 22.50[/tex]

Regular price = $22.50

Answer:

43

Step-by-step explanation:

The answer should be 43 because if you divide 172 by 4 it gives you 43 so that gives you the answer 172 ÷ 4 = 43.

Answer:

10 times x is 10 x and 10 times -2 is -20 so now we have 10x-20=-20

now we move the 20 over so that 10x=0 so now we can move the ten over so now we just have x=0

Answer:

hi

Step-by-step explanation:

5x+10+2x+10+90=180

5x+2x=180-10-10-90

7x=70

x=10

have a nice day

Answer:

FV= 639.483 arboles

Step-by-step explanation:

Dada la siguiente información:

Cantidad de árboles talados (A)= 85.000

Proporción de crecimiento (g)= 9% mensual

Cantidad de meses (n)= 6

Para calcular el total de árboles talados en 6 meses, tenemos que usar la siguiente formula:

FV= {A*[(1+i)^n - 1]} / i

A= cantidad de árboles talados

i= proporcion de crecimiento

n= cantidad de  meses

FV= {85.000*[(1.09^6) - 1]} / 0.09

FV= 639.483 arboles

Ahora, la cantidad de árboles que se talaran en el sexto mes:

FV= PV*(1+i)^n

FV= 85,000*(1.09^6)

FV= 142.553

Answer:

0.3

Step-by-step explanation:

in theory the chance to get heads is 0.5 however only two of the coin flips resulted in heads so the experimental probability is 0.2. the difference between these is 0.3.

Answer:

the correct answer is D because you have got 10flips with 2head the probability for it 2/10 or 0.02 and you know we don't always get the same result as always, and you wanna add some for the reason and you got 0.03 ( ◜‿◝ )♡

Answer:

It’s 330

Step-by-step explanation:

Just multiply 440 by 0.75 and you would get 330. Have a nice day!

Answer:

The range of the function is: -∞≤y≤∞.

Consider the provided function.

The range of the function is the set of all values which a function can produce or the set of y values which a function can produce after substitute the possible values of x.

The range of a cubic root function is all real numbers.

Now consider the provided function.

The above function can be written as:

Taking cube on both sides.

The graph of the function is shown in figure 1:

For any value of x we can find different value of y.

Here, the cube root function can process negative values. Since, the function can produce any values, the range of the given function is  -∞≤y≤∞ .

Therefore, the range of the function is: -∞≤y≤∞ (A).