Simplify the following expression completely, where x

Answer:

He ran 18.8 ft in 1 minute.

Step-by-step explanation:

Simply divide 112.8 by 6, to get the answer of 18.8, which would be how far he ran in 1 minute.

To check the work you could multiply 18.8 by 6 and it would get you 112.8 . I hope this helps you!

Step-by-step explanation:

I think 1098 will be the answer because if we multiple the r it will be 1098

Step-by-step explanation:

if you can put a vertical line through it and it only touches the line once it's a function

Answer:

Step-by-step explanation:

Answer:

(a) The central 95% of IQ scores in a standardized test would be found in the interval from 85 to 115. This is because a normal distribution is symmetric around the mean, and 95% of the data falls within two standard deviations of the mean. So, the interval would be mean - 2standard deviation to mean + 2standard deviation i.e. 100 - 215 to 100 + 215 = 85 to 115

(b) About 2.5% of people should have IQ scores above 115. This is because the IQ scores follow a normal distribution and IQ scores above 115 are considered to be in the top 2.5% of the distribution.

(c) About 16% of people should have IQ scores between 70 and 85. This is because the IQ scores follow a normal distribution, and IQ scores between 70 and 85 fall within one standard deviation of the mean (85 is one standard deviation below the mean and 70 is one standard deviation below that)

(d) About 0.1% of people should have IQ scores above 130. This is because IQ scores above 130 are considered to be in the top 0.1% of the distribution.

Step-by-step explanation:

False. When Jane turns left 40 degrees and walks 60 meters, she is farther away from her starting position than when she crossed the finish line.

If Jane turns left 90 degrees or 120 degrees, then she will also be farther away from her starting position than when she crossed the finish line. Turning left 90 degrees or 120 degrees will take her in a different direction, and thus she will be farther away from her starting position than when she crossed the finish line.

Therefore, the given statement is false.

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Plan B: Choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.

A sample is only a small portion of the population.

Let's imagine you were interested in determining the average income for all Americans in your population.

Instead of knocking on every door in America because of time and money constraints, you decide to ask 1,000 random people. Your sample consists of these a thousand persons.

Given, A gardener wants to determine which of two brands of fertilizer is best for the plants.

And the gardener decides to conduct an experiment using 28 individual plants.

Plan A will be a biased sampling and the experiment would not yield

desired results.

Therefore, The gardener should choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.

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Answer:

The values of b that satisfy the equation are:

b = (2√3 - 3) / 2

b = (-2√3 - 3) / 2

In other words, b can take the values (2√3 - 3) / 2 or (-2√3 - 3) / 2.

Step-by-step explanation:

To find the values of b that satisfy the equation 3(2b + 3)² = 36, we can solve for b by following these steps:

1. Divide both sides of the equation by 3:

  (2b + 3)² = 12

2. Take the square root of both sides:

  √[(2b + 3)²] = √12

  Simplifying further:

  2b + 3 = ±√12

3. Subtract 3 from both sides:

  2b = ±√12 - 3

4. Divide both sides by 2:

  b = (±√12 - 3) / 2

  Simplifying further:

  b = (±√4 * √3 - 3) / 2

  b = (±2√3 - 3) / 2

Therefore, the values of b that satisfy the equation are:

b = (2√3 - 3) / 2

b = (-2√3 - 3) / 2

In other words, b can take the values (2√3 - 3) / 2 or (-2√3 - 3) / 2.

The length of the arc KL in the given circle is 3.49 units

In a circle whose radius is R, the length of an arc defined by an angle x is given by:

Length = (x/360)*2*3.14*R

Here we know that the radius is 2 units, and the angle for the arc KL is 100°, then we can replace these values in the formula above so we get that the length of the arc is:

Length = (100/360)*2*3.14*2

Lenght = 3.49 units.

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Answer:

9 squares

Step-by-step explanation:

Answer:

you would shade 9

Step-by-step explanation: each row has 5 and its telling you to shade three in each

Answer:

Well if (a,b) is in Quadrant IV which is the last quadrant the a or x is a positive number and the b or y is a negative number.

Answer:

a should be a positive number

b should be a negative number

\(n^{th}\textit{ term of a geometric sequence} \\\\ a_n=a_1\cdot r^{n-1}\qquad \begin{cases} a_7=\stackrel{7^{th}\ term}{192}\\ 7=\textit{term position}\\ a_1=\textit{first term}\\ r=\stackrel{\textit{common ratio}}{2} \end{cases} \qquad \qquad a_7=a_1\cdot 2^{7-1} \\\\\\ 192=a_1\cdot 2^6 \implies 192=64a_1\implies \cfrac{192}{64}=a_1\implies \boxed{3=a_1}\)

Answer:

1. s + 7 = 9

2. 5r - 4 = 21

3. t - s = 5

4. u + r = 6

5. 11t - 7 = 70

6. 6 + 3u = 9

7. 4r - 10s = 0

8. r with an expnent of 2 +8 = \(r^{2} + 8 = 33\)

9. 30 over r = \(\frac{30}{5}\) =6

10. 2t with an exponent of 2-18 = \((2t)^{2} - 18 = 178\)

Step-by-step explanation:

1. If r = 5, s = 2, t = 7, and u = 1 then,

s + 7  = 2 + 7 = 9

2. If r = 5, s = 2, t = 7, and u = 1 then,

5r - 4  = 5(5) - 4 = 25 - 4 = 21

3. if r = 5, s = 2, t = 7, and u = 1 then,

t - s  = 7 - 2 = 5

4 .If r = 5, s = 2, t = 7, and u = 1 then,

u + r  = 1 + 5 = 6

5. If r = 5, s = 2, t = 7, and u = 1 then,

11t - 7  = 11(7) - 7 = 77 - 7 = 70

6. If r = 5, s = 2, t = 7, and u = 1 then,

6 + 3u = 6 + 3(1) = 6 + 3 = 9

7. If r = 5, s = 2, t = 7, and u = 1 then,

4r - 10s = 4(5) - 10(2) = 20 - 20 = 0

8. If r = 5, s = 2, t = 7, and u = 1 then,

r with an exponent of 2 +8 = \(r^{2} + 8 = 5^{2} + 8 = 25 + 8 = 33\)  

9. If r = 5, s = 2, t = 7, and u = 1 then,

30 over r = \(\frac{30}{r} = \frac{30}{5} = 6\)

10.If r = 5, s = 2, t = 7, and u = 1 then,

2t with an exponent of 2-18 = \((2t)^{2} - 18 = (2.7)^{2} - 18 = (14)^{2} - 18 = 196 - 18 = 178\)

The Total Surface Area of the given prism is: 1,230.4 m²

The volume of the prism is calculated as:

Volume = Base Area * Height

The total surface area is the sum of the surface area of all individual surfaces and as such we have:

Total Surface Area = (21 * 16) + (21 * 16) + (21 * 16) + 2(0.5 * 16 * 13.9)

Total Surface Area = 336 + 336 + 336 + 222.4

Total Surface Area = 1,230.4 m²

That is the final total surface area of the given rectangular based prism

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Answer:

Step-by-step explanation:

hi!

area:

both 7 by 4 sides: (7*4)2=56

both 3 by 7 sides: (3*7)2=42

both 3 by 4 sides: (3*4)2=24

add em up=56+42+24=122

i hope this answered your question. let me know if i missed something and ill fix it!

Cost equaling selling function is when a business breaks even. The xyz company needs 500000 units to break even.

What is selling function?

A component of marketing, selling entails getting in touch with potential clients and following up on sales leads. It's crucial for marketing experts to chase sales leads subtly because doing so enables them to develop connections with future clients.

Given that:

c = 500,000 + 5q   (cost function)

s = 6q    (selling function)

When the functions are equal, the situation breaks even i.e.

s = q

so,we have ;

6q = 500,000 + 5q

6q-5q = 500,000

q = 500,000

The break even is at 500000 units.

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Answer: D

Step-by-step explanation:

None of the above

Answer:

Step-by-step explanation:

d

Answer:

Step-by-step explanation:

Write equation in point slope form:

y - y1 = m(x - x1), where m is slope and (x1,y1) is a point on the line

Here m = 1/4 and (x1,y1) = (0,-6)

y--6 = 1/4(x - 0)

y+6 = 1/4x

in slope-intercept form

y = 1/4x - 6

to find x-intercept, substitute 0 for y and solve for x

to find y-intercept, substitute 0 for x and solve for y

Answer:

4250 m

Step-by-step explanation:

1 day = 850

5 days = 850×5

= 4250

Answer:

SHe put the decimal point in the wrong spot, it's suppose to be 43.89

Step-by-step explanation:

Answer:

no because 438.9 divided by seven is 62.7

Step-by-step ex

9514 1404 393

Answer:

  negative

Step-by-step explanation:

The odd-degree polynomial has end behavior with a negative slope, so its leading coefficient must have a negative sign.

Answer:

True

Step-by-step explanation:

1000 grams = 1 kilogram

The measure of Angle C is approximately 26°.

A, B, C are vertices of a triangle, where AB = 8 cm, BC = 6 cm. To determine the measure of angle C, we need to use the cosine rule.

The cosine rule states that the square of one side of a triangle is equal to the sum of the squares of the other two sides minus twice the product of the other two sides and the cosine of the angle between them.

Mathematically, we can represent it as follows:a² = b² + c² - 2bc cos(A)where a is the side opposite to angle A, b is the side opposite to angle B, c is the side opposite to angle C.

In this case, we have AB = c = 8 cm, BC = a = 6 cm, and AC = b. We need to find the measure of angle C, which is represented as cos(C).

Using the cosine rule, we can write the equation as follows:$$\begin{aligned} b^2 &= c^2 + a^2 - 2ca\cos(C) \\ \Right arrow b^2 &= 8^2 + 6^2 - 2 \times 8 \times 6 \cos(C) \\ \Right arrow b^2 &= 64 + 36 - 96 \cos(C) \\ \Right arrow b^2 &= 100 - 96 \cos(C) \end{aligned}$$We know that b is a positive length. Hence, b² > 0 or 100 - 96 cos(C) > 0. Solving for cos(C),  

we get: cos(C) < 100/96cos(C) < 1.0417Using a calculator, we can determine the inverse cosine of 1.0417 as:cos⁻¹(1.0417) = 0.4569 radians = 26.201° (rounded to the nearest degree)

Therefore, the measure of angle C is approximately 26°.

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The total volume is the one in option C, 708 cubic centimeters.

We know that this prism can be divided into two prisms, and remember that the volume of a prism is equal to the product between its dimensions.

Then the volume of the first prism is:

V = 8cm*6cm*13cm = 624 cm³

And the volume of the second prism is:

v' = 3cm*4cm*7cm = 84 cm³

Adding that we will get:

total volume =  624 cm³+  84 cm³ = 708 cm³

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7.8

They give you the radius, which is half the diameter.

3.9 * 2 = 7.8

answer:

1. 7.8 km

2. 17 ml

step-by-step explanation:

1 — 3.9 X 2 = 7.8 km

2 — 8.5 X 2 = 17 mi

Answer:(-(3x^(3)-x-1))/((x^(2)+1)^(2))

Answer: 5           Hope this helped-

Answer:

1111111110

Step-by-step explanation:

45 is 9, and 5.

9 divisibility rule: Digits have to add up to 9.

We know this has to be 1's and 0's.

So there has to be 9 1's.

111111111.

5 divisibility rule: Last digit has to be 0 or 5.

1111111110 will be our final answer.

Wait- let's check if it's divisible. Using a calculator, this determines it does work.

Enjoy.

Answer:

5%

Step-by-step explanation:

DIvide 4 by 79

\(x7 - 2 \: or \: x \leqslant - 3\)

It doesn't change because to add fractions, you need a common denominator. To find it, they multiplied 1/3 by 2 to make 2/6, to add to the 3/6.