The diameter of a cylindrical construction pipe is 3 ft. If the pipe is 12 ft long,
what is its volume?
Use the value 3.14 for π, and round your answer to the nearest whole
number.
Be sure to include the correct unit in your answer.

Answer:

-5

-3

-2

Rule:  Subtract 2 from the input value

Step-by-step explanation:

Examine the pattern of the input and the corresponding output for the two given ordered pairs:

Input -2 → Output -4  

Output - Input =  -4 - (-2) = -2

Input 1 → Output -1

Output - Input = -1 - 1 = -2

Therefore to get the output value (y-value), we subtract 2 from the input value (x-value).

[tex]\begin{array}{| c | c |}\cline{1-2} x & y \\\cline{1-2} -3 & -5 \\\cline{1-2} -2 & -4 \\\cline{1-2} -1 & -3 \\\cline{1-2} 0 & -2\\\cline{1-2} 1 & -1 \\\cline{1-2}\end{array}[/tex]

As the rule for the function is the subtract 2 from the input value to get the output value, we can write this as:

Output = Input - 2

or as an equation:  [tex]y=x-2[/tex]

Answer:

+ 25

Step-by-step explanation:

b² + 10b

using the method of completing the square

add ( half the coefficient of the b- term)²

b² + 2(5)b + 25

= (b + 5)² ← a perfect square

Midpoint, as the word suggests, means the point which lies in the middle of something. The correct option is A.

Midpoint, as the word suggests, means the point which lies in the middle of something. The midpoint of a line segment means a point which lies in the mid of the given line segment.

There is no flaw in the steps. Hence, the correct option is A.

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Answer:

Step-by-step explanation:

We know that:

We also know:

Here are the answers verified:

The correct option is B.

Answer: Tony paid $1.20 less than Keith paid.

Step-by-step explanation: Easy math, try asking your teacher for help. It takes time.

Answer:

  7/80 lb

Step-by-step explanation:

We are given that 1/10 of the 7/8 pound package is raisins.

__

The weight of raisins is ...

  (1/10)(7/8 lb) = 7/80 lb

Answer:

x = 27.4

Step-by-step explanation:

[tex]\sf \angle Q+ \angle R+ \angle S=180^{o} [/tex]

[tex]\sf 34.6 + 118 + x = 180[/tex]

Add 34.6 and 118 = 152.6

[tex]\sf 152.6+x=180[/tex]

Subtract 152.6 from both sides.

[tex]\sf x=180 - 152.6[/tex]

Subtract 152.6 from 180 = 27.4.

Therefore, the missing angle "x" is 27.4.

Answer:

3360.

Step-by-step explanation:

That would be the number of permutations of 3 from 16.

= 16P3

= 16!/(16-3)!

= 16*15*14

= 3360

Answer:

3 360 permutations

Step-by-step explanation:

the number of permutations :

16P3 = 16 × 15 × 14 = 3 360

Answer:

126 ft²

Step-by-step explanation:

surface area of rectangular prism: 2(LW + HW + WL)

Here Given:

Surface Area:

height= 3 ft

width= 3 ft

length= 9 ft

the surface area of the given prism.

[tex]s.a = 2(hw + wl + hl )[/tex]

[tex]s.a = 2(3 \times 9 + 3 \times 9 + 3 \times 3)[/tex]

[tex]s.a = 126 \: {ft}^{2} [/tex]

therefore, the surface area of the given prism is 126 square feets.

The quadratic equation 4x² +16x - 4.25 = 0 can be used to determine the thickness of the frame option third is correct.

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

We have:

The mirror and frame must have an area of 19.25 square feet. The mirror is 3 feet wide and 5 feet long.

Let's suppose the thickness of the frame is x:

Then, the area of the rectangle:

(2x+3)(2x+5) = 19.25

4x² + 10x + 6x + 15 = 19.25

4x² +16x - 4.25 = 0

Thus, the quadratic equation 4x² +16x - 4.25 = 0 can be used to determine the thickness of the frame option third is correct.

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Based on the items produced, and the profit yielded from those items, the best model to represent the data is y = -1.026x² + 1,016.402x - 162,075.

You can find this out by testing the models using the items produced (independent or "x" value) to see if the model produces a close enough y value.

Assuming x is 100:

= -1.026x² + 1,016.402x - 162,075

= (-1.026 x 100²) + (1,016.402 x 100) - 162,075

= -$70,694.80

Assuming x is 400:

= -1.026x² + 1,016.402x - 162,075.

= (-1.026 x 400²) + (1,016.402 x 400) - 162,075.

= $80,325.80

These figures are very close to the actual y values given which makes this the best model.

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Answer:  A. y = –1.026x2 + 1016.402x – 162075

Step-by-step explanation:

Answer:

$18019.37

Step-by-step explanation:

[tex]A = 12,385(1 + \frac{0.075}{365})^{365(5)}\\[/tex]

≈ $18019.37

The measure of angle IJG in the inscribed quadrilateral is calculated as: 110°.

The opposite angles in a inscribed quadrilateral in a circle are said to be equal to 180 degrees, that is, they are supplementary.

angle IJG and angle GHI are opposite angles, therefore:

Angle IJG = 180 - angle GHI

Angle IJG = 180 - 70

Angle IJG = 110°

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Answer:

4 and 3/4 is the 5th shortest piece

a third of 4 and 3/4 is 1 and 7/12

the answer is: 1   7/12  in.

Step-by-step explanation:

4 and 3/4 is 19/4

19/4 divided 3 is 19/4 *1/3 = 19/12 = 1 7/12

Answer:

d. 5408 Birr.

Step-by-step explanation:

24 months  = 2 years.

Amount after 2 years = 5000(1 + 0.04)^2

= 5408.

The expression written as a product is:

[tex](-4.5)^6*(-4.5)^{-2}[/tex]

And written as a power:

[tex](-4.5)^4[/tex]

Here we need to remember the two rules:

[tex]a^n = \frac{1}{a^{-n}}[/tex]

[tex]a^n*a^m = a^{n + m}[/tex]

Using the first one, we can write the quotient as a product:

[tex]\frac{(-4.5)^6}{(-4.5)^2} = (-4.5)^6*(-4.5)^{-2}[/tex]

Now we can use the second property to write the expression as a single power, we will get:

[tex]\frac{(-4.5)^6}{(-4.5)^2} = (-4.5)^6*(-4.5)^{-2} = (-4.5)^{6 - 2} = (-4.5)^4[/tex]

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Answer:

I can only answer b but I hope it helps

B = £75,400

Explanation:

10% is £6500

6 % is £3900

=£10,400

+the original pay

=£75,400

That is her new salary

Answer:

Step-by-step explanation:

Answer:

-2x-2

For a line equation for the form of y = mx +b, the slope is m

m= -2

The function has no undefined points nor domain

constraints. There fore, the domain is

domain: -∞<x<∞

The range of polynomial with odd degrees is all the real numbers

range: -∞<f(x)<∞

Step-by-step explanation:

graph is inserted

Answer:

60 degrees

Step-by-step explanation:

Angles in a triangle add up to 180

79 add 41 is 120

180 minus 120 is 60

Answer:

[tex]\displaystyle y=\frac{30x}{6(x-4)}[/tex]

Step-by-step explanation:

Keep in mind that a rational function with a vertical asymptote at [tex]x=4[/tex] means the denominator must be 0 when [tex]x=4[/tex] is plugged in.

This means we have [tex]\displaystyle y=\frac{6}{x-4}[/tex] so far.

To account for the horizontal asymptote at [tex]y=5[/tex], we need to adjust the numerator and denominator so that they are the same degree and that the leading coefficients have a ratio of 5. We can do this by multiplying the numerator by 5x and the denominator by 6.

This leaves us with [tex]\displaystyle y=\frac{30x}{6(x-4)}[/tex] as the translated equation since the end behavior of the function is [tex]\displaystyle y=\frac{30x}{6x}=5[/tex]. See attached graph.

If the area of a semicircle and an isosceles triangle is 56.55 cm² and 18 cm². Then the area of the shaded region will be 38.55 cm².

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Then the area of the shaded region will be given by the difference between the area of the semicircle and the area of the isosceles triangle.

The area of the shaded region will be

Shaded area = area of semicircle - area of isosceles triangle

Then the area of the semicircle will be

Semicircle area = π 6² / 2

Semicircle area = π36/2

Semicircle area = 56.55 square cm.

The area of the isosceles triangle will be

Isosceles triangle area = 2 × (1/2) × 6 × 6 sin30°

Isosceles triangle area = 6 × 6 × 0.5

Isosceles triangle area = 18 square cm

Then the area of the shaded region will be

Shaded area = 56.55 - 18

Shaded area = 38.55 square cm

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Answer:

18.43 units

Step-by-step explanation:

132/360 cause 360 degrees in circle

π4^r=area of totoal

16π= area

16π*132/360=18.4306769011

Answer:

B

Step-by-step explanation:

the domain of a graph consists of all the input values shown on the x-axis.

so because the only parts shown on the x axis are 6 and -6 that is the answer!

hope this helps!

Answer:

3418.02 cm²

Step-by-step explanation:

Volume :

Volume (cone) - Volume (hemisphere)

1/3πr²h - 2/3πr³

1/3 x π × 64 x (√20² - 8²) - 2/3 x π x (4)³

64π/3 (√336 - 2 x 2/3)

64π (18.33 - 1.33)

64π × 17

201.06 x 17

3418.02 cm²

Answer:

16807

Step-by-step explanation:

7 * ((sqrt49)^4 =  7 * 7^4  = 7^5 = 16807

Answer:

12.7

Step-by-step explanation:

Its a pythagerous question question

so if the ladder is 8 feet from the wall the base is 8

and the ladder is 15 foot and is the hypotemuse

so 15^2-8^2=161^2

The root of 161 = 12.69 rounded to 2 dp

so 12.7

The distance far the top of the ladder from the ground is 12.7 feet

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|^2 = |AB|^2 + |BC|^2

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

We are given that;

Length= 15foot

Base= 8feet

Now,

In this case, the ladder is the hypotenuse, and the base and the height are the legs. So, we can write:

15^2 = 8^2 + h^2

where h is the height of the ladder from the ground. Solving for h, we get:

h^2 = 15^2 - 8^2

h^2 = 225 - 64

h^2 = 161

h = sqrt(161)

h = 12.688

Therefore, by  Pythagoras theorem the answer will be 12.7 feet.

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Answer:

a) 1

b) 0

c) hundreths

d) .8

Step-by-step explanation:

The order, for this problem, is:

hundreds, tens, ones,

then after the decimal

tenths, hundredths, thousandths, ten thousandths, etc.

as for step d, imagine .08 as 8/100, and 8/10. Would you rather have 8 slices of pizza out of 100 slices, or 8 out of 10 slices of the whole?

I hope I helped!

The equivalent equation of the algebraic Equation (4x - 7)² + 16 = 40x - 70 is; p² + 16 - 10p = 0

We want to simplify the algebraic Equation;

(4x - 7)² + 16 = 40x - 70

Factorize right hand side to get;

(4x - 7)² + 16 = 10(4x - 7)

If p = 4x - 7, then we have;

p² + 16 = 10p

Using subtraction property of equality gives;

p² + 16 - 10p = 10p - 10p

p² + 16 - 10p = 0

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