Understanding Distance Units
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Stephen Kiprotich, the 2012 Olympic marathon winner,
completed the 26.219 miles in 128 minutes. What was
his speed in kilometers per minute? ?
What steps should you take to solve this problem?

The solution to the inequality |4x − 2| > 14 is x > 4 and x < -3

An inequality is an expression that shows the non equal comparison of two or more numbers and variables.

Given the inequality:

|4x − 2| > 14

Hence:

4x - 2 > 14 or -(4x - 2) > 14

x > 4 or x < -3

The solution to the inequality |4x − 2| > 14 is x > 4 and x < -3

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Answer:

1.[tex]8m-2n[/tex]
2.[tex]-2b+5[/tex]
3.[tex]-8c+46[/tex]

Step-by-step explanation:

Given the following questions:

[tex]3m-2n+5m[/tex]
[tex]-b-b+5[/tex]
[tex]50-9-8c+5[/tex]

To simplify the following we are going to have to regroup and combine like terms which means we are going to use inverse of operations on terms with similar variables.

Question one:
[tex]3m-2n+5m[/tex]
[tex]3m-2n+5m=3m+5m-2n[/tex]
[tex]3m+5m-2n[/tex]
[tex]3m+5m=8m[/tex]
[tex]=8m-2n[/tex]

Question two:
[tex]-b-b+5[/tex]
[tex]-b-b=-b+-b=-2b[/tex]
[tex]=-2b+5[/tex]

Question three:
[tex]50-9-8c+5[/tex]
[tex]50-9-8c+5=-8c+50-9+5[/tex]
[tex]-8c+50-9+5[/tex]
[tex]50-9=41[/tex]
[tex]-8c+41+5[/tex]
[tex]41+5=46[/tex]
[tex]=-8c+46[/tex]

Which means your answers are "8m - 2n, -2b + 5, and -8c + 46."

Hope this helps.

The statement about both functions that is true is: B. The y-intercept of f(x) is greater than the y-intercept of g(x).

The y-intercept of a function is the output value (y) of the function when the input value (x) is zero. On a graph, it would be the value of y-coordinate of the point where the line cut across the y-axis.

From the table given for function g, the value of y when x is zero is 3. The y-intercept for g(x) is 3.

From the graph given for function f, the value of the point at which the line intercepts the y-axis is 6. Therefore, the y-intercept for f(x) is 6.

Therefore, the statement about both functions that is true is: B. The y-intercept of f(x) is greater than the y-intercept of g(x).

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Answer:

-5 ; -3 ; -1.5 ; 0 ; 11 (**Quotient order**) -30/6 ; 21/-7 ; - (-3/-2) ; 0/-20 ; -44/-4  (** Division Problem Order which is the Original Order**)

Step-by-step explanation:

Here are your division problems:

-30/6 ; 0/-20 ; -44/-4 ; 21/-7 ; - (-3/-2)

First, do the -30 divided by 6

The rule when dividing with a negative and positive is you divide normally but have a negative for your answer.

30 divided by 6 is 5 but carry the negative due to the rule.

First one is -5

Next,

This one is simplistic,

It doesn't matter if it is negative anything divided by 0 is 0

Second one is 0

The next one is -44 divided by -4.

The rule when dividing with negative and negative is they cancel out and become a positive answer.

44 divided by 4 is 11

Third is 11

21 divided by -7 is the same as the first one, divide normally and carry negative.

21 divided by 7 is 3 but carry the negative.

Fourth is -3

Lastly,  we need to use the rules once again. the negatives cancel but you still have a negative. This shall be a negative answer.

Here's the twist. 3 can't divide into 2 easily. You need to get a decimal which is fine.

Fifth is -1.5

Now with all of our numbers:

-5, 0, 11, -3, and -1.5 you need to order them from least to greatest.

Rule: The farther you go out with negatives the smaller they are for example like -12.

-5 is first

-3 is second

-1.5 is third

0 is fourth

11 is fifth

-5 ; -3 ; -1.5 ; 0 ; 11 is the quotient order

-30/6 ; 21/-7 ; - (-3/-2) ; 0/-20 ; -44/-4 is the division problem order

Answer:

k=2

Step-by-step explanation:

[tex](k + 2) {}^{2} - (k - 2)x - 5 = 0[/tex]

If we have two zeroes that are equal in size, but different signs then we have a different of squares,

[tex](a + b)(a - b) = {a}^{2} - b {}^{2} [/tex]

So in order to do this we must make the middle term, x 0 so

[tex]k - 2 = 0[/tex]

[tex]k = 2[/tex]

The height of each paper cup to the nearest whole number is 15cm

The formula for calculating the volume of a cylinder is expressed as:

V = πr²h

r is the radius

h is the height

Given that h = 9cm and r = 3.8cm

V = 3.14 * (3.8)² * 9
V = 408cm³

For the cone

V = 1/3πr²h

408 = 1/3 (3.14 * (5.1)² * h)
1224 = 81.6714h

h = 1224/81.6714
h= 15cm

Hence the height of each paper cup to the nearest whole number is 15cm

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Answer:

The value x would equal to 2
11 divided by 5.5 = 2
5.5 x 2 =11

Step-by-step explanation:

Have a great rest of your day
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Answer:

1) [tex]\sqrt{2}[/tex]

2) 11

3) 5

4) 8

5) I feel like there is something wrong with this question

6) [tex]\sqrt{3}[/tex]

7) 10

8) 4

9) 18

10) 8[tex]\sqrt{3}[/tex]

Step-by-step explanation:

#1

In this rule, it is saying that is two of the sides are the same and two of the angles are 45 degrees, then you can find the measurement of the hypotenuse or one of the legs of the triangle

Here, the hypotenuse is equal to what the length of one of the legs are and multiplied by [tex]\sqrt{2}[/tex]

Since the length of one of the legs are 4, multiply that by [tex]\sqrt{2}[/tex] and you will get:

4[tex]\sqrt{2}[/tex]

#2

Same concept, but reverse

The hypotenuse is 11[tex]\sqrt{2}[/tex] and to go back to one of the leg lengths, instead of multiplying, you want to divide.

So:

[tex]\frac{11\sqrt{2} }{\sqrt{2} }[/tex]

Which is equal to:

11

You can also do this by knowing that the legs are the same length and knowing that b=11, and a=b, a is also equal to 11

#3

Same as the previous question

[tex]\frac{5\sqrt{2} }{\sqrt{2} }[/tex]

b = 5

#4

a and b are equal to x, and in this case, x is 8.

So going back to the picture, you can see that you need to multiply this x by [tex]\sqrt{2}[/tex] to get 8[tex]\sqrt{2}[/tex]

#5

You'd have to ask your teacher for this one because it is impossible to have a leg that is longer than the hypotenuse

#6-10

Apply the same rules for these set of questions:

Notice that there is a different system for these though, I will let you figure them out.

A demand curve shows the quantity demanded of a product at each price.

Your information is incomplete as the table isn't given. Therefore, an overview will be given.

A demand curve simply means a graphical representation of the relationship between price and quantity demanded.

In this case, a demand curve shows the quantity demanded of a product at each price. The profit maximizing price is when the marginal cost equals marginal revenue.

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The profit-maximizing price is when the marginal cost equals marginal revenue.

An individual’s utility-maximizing choices can lead to a demand curve.

Demand can be defined as the total amount of goods or services that consumers are willing and able to purchase at a given price.

In Economics, there are primarily two (2) factors that affect the availability and the price at which goods and services are sold or provided, these are demand and supply.

The marginal decision rule—generally produce downward-sloping demand curves.

This section shows how an individual’s utility-maximizing choices can lead to a demand curve.

Hence, The profit-maximizing price is when the marginal cost equals marginal revenue.

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Answer: 66% or 67% if you round it up

Step-by-step explanation: Add 23 and 11 together: 34

I'm not sure how many marbles you drew so I'll say subtract 1: 33

22/33 =.6 repeating.67 if you round it up or 67%

The probability that you draw no blue marble is 23/11.

Probability is a branch of math that deals with finding out the likelihood of the occurrence of an event.

A bag has 11 blue marbles and 23 red marbles.

Total number of marbles = 11 + 23 = 34

The probability of picking blue marbles is;

[tex]\rm Probability=\dfrac{Blue \ marbles }{Total \ marbles}\\\\Proability = \dfrac{11}{34}[/tex]

The probability that you draw no blue marbel IS;

[tex]\rm Probabilty = 1- Blue \ marable\\\\Probability = 1-\dfrac{11}{34}\\\\Probability=\dfrac{34-11}{11}\\\\Probability =\dfrac{23}{11}[/tex]

Hence, the probability that you draw no blue marble is 23/11.

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Answer: 3

Step-by-step:

15/5=3

Each segment of a fifteen-foot beam divided into five equal parts is 3 feet long.

Since acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

To find out the length of each segment of a fifteen-foot beam divided into five equal parts, we have to divide the total length of the beam by the number of segments it is being divided into.

We can do this using the division operation as shown below:

15 ÷ 5 = 3

Therefore, we can conclude that each segment of a fifteen-foot beam divided into five equal parts is 3 feet long.

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Answer:

1,620

Step-by-step explanation:

L x W x H

L = 15

W = 12

H = 9

15 x 12 = 180

180 x 9 = 1620

Answer:

Why is it so important to know the area of wrapping paper it's just paper?

But anyways the answer is b 521 cm

Step-by-step explanation:

The basic formula for a circle is (x - h)^2 + (y - k)^2 = r^2, where the center is (h, k) and the radius is found by taking the square root.

h = 4

k = -2

Center: (4, -2)

square root of 9 = 3

Radius: 3

Correct Answer: C

Hope this helps!

Answer:

240

Step-by-step explanation:

because each side is 60 inches so do 60x4 and you get 240

Answer:

Option D!

Step-by-step explanation:

Hope this helps.

Answer:

2/3

Step-by-step explanation:

Looking at the graph, it looks like the line goes through (6,10) and (-6,-8). We can "subtract" the points like so:

(6-(-6))/(10-(-8))

=12/18

=2/3

You can remember this trick as "rise over run".

I hope this solution helped you. Happy mathing!

Step-by-step explanation:

if I understand correctly, then we have

h(x) = 2 × cubic root(x - 10) + 4

the x-intercept is the x value where y or h(x) = 0.

0 = 2 × cubic root(x - 10) + 4

0 = cubic root(x - 10) + 2

-2 = cubic root(x - 10)

-8 = x - 10

x = 2

The intercept is the point where a line or curve crosses the axis. The x-intercept of the function is (2,0)

The intercept is the point where a line or curve crosses the axis. Given the function below:

h(x) = 2(∛x-10) + 4

For the x-intercept, it is the point where h(x) = 0.

Substitute

2(∛x-10) + 4 = 0

2(∛x-10)  = -4

(∛x-10)  = -2

Take the cube of both sides

x-10 = (-2)^3
x -10 = -8

x = -8 + 10

x = 2

Hence the x-intercept of the function is (2,0)

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Answer:

6.38%

Step-by-step explanation:

To answer questions like these it helps to work backwards. We know that sales tax is an added percentage of the cost of a product onto total.

So we get this sort of image:

Total = Original Cost x (1 + %tax)

Now we can start putting the numbers from the question into this equation.

So we know the total:

27.50 = Original Cost x (1+%tax)

We know the original cost. It must be the total amount minus the amount of sales tax put on it. (27.50 - 1.65 = 25.85)

27.50 = 25.85 x (1+%tax)

Now we can start solving for "%tax".

(27.50/25.85) = 1 + %tax

1.0638 = 1 +%tax

1.0638 - 1 = %tax

0.0638 = %tax

6.38% = tax

The sales tax is 6.38%.

Answer:

36/2^x

Step-by-step explanation:

= 4 X 9 x 1/2^x

= 36/2^x

Answer:x<3 that shout be right. I calculated it.

Step-by-step explanation:

Answer:

D. In an axiomatic system, every statement, either its capable of being proven true or false.

Step-by-step explanation:

I'm sure.

Answer:

a+b = b+a

Step-by-step explanation:

The number of movies that are 2.5 hours long that Cora watched is 10 hours.

a + b = 30 equation 1

1.5a + 2.5b = 55 equation 2

Where:

a = movies that are 1.5 hours long

b = movies that are 2.5 hours long

Multiply  equation 1 by 1.5

1.5a + 1.5b = 45  equation 3

Subtract equation 3 from 2

1b = 10 hours

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Answer:

a)

Step-by-step explanation:

Given:  Step 3

(JK)² = LK · MK  and  (LJ)² = LK · ML

Step 4

Addition property of equality

(JK)² + (LJ)² = LK · MK + LK · ML

Step 5

Distributive property

(JK)² + (LJ)² = LK (MK + ML)

Option A

addition property of equality

So

And

Distributive property

Hence option A is correct

The area of each given square is:

Part A: 1/4 cm²

Part B: 9/47 units²

Part C: 1.89 inches²

Part D: 0.01 meters²

Part E: 12.25 cm²

Area of a square, with side length, s, is: A = s².

Part A:

s = 1/2 cm

Area = (1/2)² = 1/4 cm²

Part B:

s = 3/7 units

Area = (3/7)² = 9/47 units²

Part C:

s = 11/8 inches

Area = (11/8)² = 1.89 inches²

Part D:

s = 0.1 meters

Area = (0.1)² = 0.01 meters²

Part E:

s = 3.5 cm

Area = (3.5)² = 12.25 cm²

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Answer:

432

Step-by-step explanation:

Length times width times height