54v–42w.
Write your answer as a product with a whole number greater than 1

Answer:

Answer: 111∘

Step-by-step explanation:

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:

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:

7 units

Step-by-step explanation:

To find the distance between a pair of points, use the distance formula, [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]. Substitute the x and y values of (5,5) and (5, -2) into the formula and simplify:

[tex]d= \sqrt{(5-5)^2+(5+2)^2} \\d = \sqrt{(0)^2+(7)^2} \\d = \sqrt{0+49} \\d = \sqrt{49}\\d=7[/tex]

So, the answer is 7 units.

Answer:

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

Answer:

x=2 (-7 , then -5 for the drag part)

Answer:

2

Step-by-step explanation:

Rotating the area enclosed by, and the x-axis about the y axis yields the solid's volume, which is [tex]9\pi[/tex]. option C.

The cylindrical shell method can be used to determine the solid's volume after rotating the region enclosed by the curves x = 3y, x = 3, and the x-axis about the y-axis.

Let's begin by mapping the area:

The parabola that opens to the right and passes between the points (0,0) and (9,3) is represented by the curve x = 3y.

The volume element must be expressed in terms of y in order to set up the integral. Imagine rotating a narrow strip of material with width dy along the y-axis to create a cylindrical shell.

The tallness of theThe difference between the x-values of the curves x = 3 and x = 3y yields the cylindrical shell:

h = 3 - (3√y) = 3(1 - √y)

The distance between the y-axis and the curve x = 3y, denoted by the symbol r, and the circumference of the cylindrical shell is 2r. Here, r equals 3y.

The volume element is thus:

dV = 2π(3√y)(3(1 - √y)) dy

The integral may now be set up to determine the entire volume:

V = ∫[0,3] 2π(3√y)(3(1 - √y)) dy

This integral can be simplified to give us the solid's volume. After analysing the integral, we determine that is the right response. 9 cubed units.option C

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Answer:

Volume of triangular prism = 126 cm³

Step-by-step explanation:

Given:

Base of side triangle = 6.3 cm

Height of triangular prism = 4 cm

Length of side = 10 cm

Find:

Volume of triangular prism

Computation:

Volume of triangular prism = Area of triangular cross section x Length of side

Volume of triangular prism = (1/2)(b)(h) x Length of side

Volume of triangular prism = (1/2)(6.3)(4) x 10

Volume of triangular prism = (6.3)(2) x 10

Volume of triangular prism = 12.6 x 10

Volume of triangular prism = 126 cm³

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:

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:

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:

y = 18

x = 15.588

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

Step-by-step explanation:

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

Answer:

It’s 330

Step-by-step explanation:

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

Answer:

D. 6

Step-by-step explanation:

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

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: We cannot assume independence for the cars sampled from plant B.

Step-by-step explanation: Khan Academy “With a sample size of 10 cars, we need at least 100 cars in the population to assume independence based on the 10% condition, but there are only 80 cars made each day at plant B.”

Answer: We cannot assume independence of the cars sampled from plant B.

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

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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:

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:

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).

Answer:

72 cm³

Step-by-step explanation:

Volume of a triangular pyramid = a*(h/3), where a is the area of the base triangle and h is the height from the base to the highest point.

We need to first find a, the area of the bas triangle:

Area of triangle = (1/2)bh, where b is the length of the base and h is the perpendicular height.

a = (1/2)12*4

a = 6*4

a = 24 cm²

Knowing a, we can know find the volume:

Volume = a*(h/3)

= 24*(9/3)

= 24*3

= 72 cm³