What is the volume of a cylinder in cubic ft with a height of 14ft and a base diameter of 12ft round to the nearest tenth

Arithmetic

Bring all numbers in the parentheses to the third power.

[tex]( { - 5}^{3} \times {4}^{3} )[/tex]

It is easier to not simplify the numbers.

[tex] { - 5}^{3} \times {4}^{3} = { - 20}^{3} [/tex]

Don't add the exponents, and multiply the numbers.

The expression (–5 × 4)³ is equivalent to the expression –8000.

The equivalent is the expressions that are in different forms but are equal to the same value.

The expression is given below.

⇒ (–5 × 4)³

Simplify the expression, we have

⇒ (–5 × 4)³

⇒ (–20)³

⇒ –20³

⇒ –8000

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Answer:

Step 1. Read the problem. Make sure you understand all the words and ideas.

Step 2. Identify what you are looking for.

Step 3. Name what you are looking for.

Step 4. Translate into an equation. Restate the problem in one sentence. Then translate into an equation.

Step 5. Solve the equation using good algebra techniques.

Step 6. Check.

Step 7. Answer the question.

Step-by-step explanation:

Answer:

8/23. Sana po makatulong

Answer:

22.1

Step-by-step explanation:

33.15/n

33.15/1.5

= 22.1

Answer:

a = 118

b = 96

c = 108

Step-by-step explanation:

105 + 25 = 130

130 students

83 = maths ONLY

105 - 83 - 22

22 = maths and science

95 didnt like science

130 - 95 = 35

35 liked science

35 - 22 = 13

13 people liked science ONLY

83 + 22 + 13 = 118

130 - 118 = 12

leaving 12 as the people who like neither

130 - 22 = 108 = people who like 0 or 1 subject (at most one subject)

Answer:

13 pounds

Step-by-step explanation:

volume = base area × height

area of a rectangular triangle = a×b/2

Vp = (2×3/2) × 5 = 3×5 = 15 ft³

weight of contents = 15 × 0.84 = 12.6 pounds = 13 pounds rounded.

Answer:

IK = 20

Step-by-step explanation:

If Point J is on the line segment IK, then;

IK = IJ + JK

Given that

IJ = 4

IK = 5x

JK = 4x

Substitute into the expression

5x = 4 + 4x

5x - 4x  = 4

x = 4

Get the value of IK

IK = 5x

IK = 5(4)

IK = 20

Hence the numerical length of IK is 20

Answer:

It is a many-to-one function.

Step-by-step explanation:

Answer:

19 measures the median

Step-by-step explanation:

The dot plot is not shown, but the question can still be answered.

We have:

[tex]Samples: 18, 18, 18, 18, 20, 20, 22, 23[/tex]

[tex]n = 8[/tex]

Calculate the median position using:

[tex]Median = \frac{n + 1}{2}th[/tex]

[tex]Median = \frac{8 + 1}{2}th[/tex]

[tex]Median = \frac{9}{2}th[/tex]

[tex]Median = 4.5th[/tex]

4.5th means the median is the mean of the 4th and 5th item.

We have:

[tex]4th = 18[/tex]

[tex]5th = 20[/tex]

So:

[tex]Median = \frac{18 + 20}{2}[/tex]

[tex]Median = \frac{38}{2}[/tex]

[tex]Median = 19[/tex]

Answer:

Step-by-step explanation:

take 60 degree as reference angle

using cos rule

cos 60 = adjacent / hypotenuse

1/2 = 80/x

do cross multiplication

2*80 = x

160 = x

160.0 = x

Answer:

[tex]r=\frac{7±3\sqrt{5} }{2}[/tex]

Ignore the A before the ±. It wouldn't let me type it correctly.

Step-by-step explanation:

2r² + 7r - 1 = 3r²

2r² + 7r - 1 - 3r² = 0

- r² + 7r - 1 = 0

- (r² - 7r + 1) = 0

- (r² - 7r + 1) ÷ - 1 = 0 ÷ - 1

r² - 7r + 1 = 0

[tex]r=\frac{-b±\sqrt{b^{2}-4ac } }{2a}[/tex]

Ignore the A before the ±. It wouldn't let me type it correctly.

r² - 7r + 1 = 0

a = 1

b = - 7

c = 1

[tex]r=\frac{-(-7)±\sqrt{(-7)^{2}-4((1)(1)) } }{2(1)}[/tex]

[tex]r=\frac{-(-7)±\sqrt{49-4((1)(1)) } }{2(1)}[/tex]

[tex]r=\frac{-(-7)±\sqrt{49-4 } }{2(1)}[/tex]

[tex]r=\frac{-(-7)±\sqrt{45 } }{2(1)}[/tex]

[tex]r=\frac{-(-7)±\sqrt{(3)(3)(5) } }{2(1)}[/tex]

[tex]r=\frac{7±(\sqrt{3 } )(\sqrt{3})(\sqrt{5}) }{2(1)}[/tex]

[tex]r=\frac{7±3\sqrt{5} }{2}[/tex]

Two separate equations

[tex]r=\frac{7+3\sqrt{5} }{2}[/tex]

[tex]r=\frac{7-3\sqrt{5} }{2}[/tex]

Answer:

overdraft fees is your answer

Step-by-step explanation:

Answer:

a and f because they are in the negative-negative quad

Answer:

49+49%2=73.5mile is the required answer

Answer: To find a discount of 30% off of a price of P, which expression should you use to find the final price? ... Which expression represents the sale price of the coat?

Step-by-step explanation:

Answer:

W 2,3

X 5,3

Y 1,2

Z  8,4

Step-by-step explanation:

The coordinates of the Rhombus after the dilation is W' ( 3 , 0 ) , X' ( 12 , -3 ) , Y' ( 15 , -12 ) and Z' ( 6 , -9 )

Resizing an item uses a transition called Dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. Dilation transformations ensure that the shape will stay the same and that corresponding angles will be congruent

The result of dilation is that the shapes and boundaries of objects in the input image are expanded or thickened. It is often used in conjunction with other morphological operations such as erosion, opening, and closing to manipulate and enhance images.

Given data ,

Let the coordinates of the rhombus be represented as WXYZ

where W' ( 1 , 0 ) , X ( 4 , -1 ) , Y ( 5 , -4 ) and Z ( 2 , -3 )

Now , the dilation scale factor is k = 3 centered at origin

So , result of this transformation is an image with the same shape as the original

The coordinates of the dilated figure is W'X'Y'Z'

where W' ( 3 , 0 ) , X' ( 12 , -3 ) , Y' ( 15 , -12 ) and Z' ( 6 , -9 )

Hence , the dilation is solved

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Answer:

6n + 12 = -60 - 35

-12              -12

6n = -107

Divide by 6 on both sides:

N = -17.8333333333  around -17

Step-by-step explanation:

We need to isolate the variable meaning keeping the variable by itself on the left side. In order to do that we must get rid of any constants or co-efficients.

Answer:

Hey mate......

Step-by-step explanation:

This is ur answer.....

= 6n + 12 = -95

= 6n = -95 - 12

= 6n = -107

= n = -107 / 6

= n = 17.83

Hope it helps!

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Answer:

The answer is 1/8

Step-by-step explanation:

There are 4 marbles in the box and one of them is a yellow marble. The odds of getting a yellow marble fr the box is 1/4.

A number cube labeled 1 through 6 has 6 numbers, which are 1, 2, 3, 4, 5 and 6. The odd numbers in the cube are 1, 3 and 5. The probability of getting an odd number from the cube is 3/6, which is simplified to 1/2.

To find the probability of both cases occurring, both fractions should be multiplied.

1/4 * 1/2 = 1/8

Oooooooioooooooooooo

Answer:

b

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

The amount of lawns that he can mow in 10 hours is; A: five Lawns

We are told that it takes a time of 4 hours to mow 2 lawns. Thus, amount of lawn he can mow in 1 hour = 2/4 = 0.5 lawn per hour

Thus, amount of lawn he can mow in 10 hours = 0.5 * 10 = 5 lawns

In conclusion he will mow 5 lawns in 10 hours.

Read more about proportion of work at; https://brainly.com/question/1781657

Step-by-step explanation:

The equation for the slope-intercept form is given as y=mx+b where m is the slope and b is the y-intercept at point (0,b)

Answer:

y = -3/5x - 3

Step-by-step explanation:

y = mx + b is the slope intercept form of writing the equation of a straight line.

Plug in the value given.

The equation should be: y = -3/5x -3

Answer:

a = 50°, b = 130°, c = 20°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles in the right triangle

a + 40° + 90° = 180°

a + 130° = 180° ( subtract 130° from both sides )

a = 50°

a and b are adjacent angles and sum to 180° , so

a + b = 180°

50° + b = 180° ( subtract 50° from both sides )

b = 130°

Then sum the angles in the top triangle, that is

30° + 130° + c = 180°

160° + c = 180° ( subtract 160° from both sides )

c = 20°

Answer:

Step-by-step explanation:

The standard form of a circle is

[tex](x-h)^2+(y-k)^2=r^2[/tex] where h and k are the center of the circle and r is the radius. Our center is located at (0, 1), so h = 0 and k = 1. Going from the center straight up of down we have to move 2 units to get to a point on the outside of the circle, so r = 2. Filling in our equation:

[tex](x-0)^2+(y-1)^2=2^2[/tex] which simplifies a bit to

[tex]x^2+(y-1)^2=4[/tex]

Answer:

f (g(x) = f (2x) = 2x + 1 (∵ f (x) = x + 1)

Answer:

2x+1=0 is the answer

(g(x) = f (2x) = 2x + 1 (∵ f (x) = x + 1)-