Solve the equation e' = 120. Then find the approximate value of the solution
using a calculator.

Answers

Answer 1

The approximate value of the solution to the equation e' = 120 is e ≈ 120.the value of e by rounding it to a Reasonable number of Decimal places.

The given equation is e' = 120, where e represents some variable.

To solve for e, we can start by dividing both sides of the equation by the coefficient of e, which is 1:

e' / 1 = 120 / 1

Simplifying the right-hand side, we get:

e' = 120

This means that the value of e is equal to 120. So the solution to the equation e' = 120 is e = 120.

To find the approximate value of e, we can use a calculator to evaluate the expression. Since e is a variable, we cannot substitute it directly into the calculator. However, we can estimate the value of e by rounding it to a reasonable number of decimal places.

In this case, since e' is given as 120, we can assume that e is also in the same units. So we can round e to the nearest whole number:

e ≈ 120

Therefore, the approximate value of the solution to the equation e' = 120 is e ≈ 120.

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Related Questions

Will give brainliest if correct!
Explain reasoning

Answers

Answer:

B is correct. Angle 7 measures 125°.

Step-by-step explanation:

Parallel lines intersected by a transversal form congruent alternate interior angles. Therefore, angles 4 and 5 are congruent, meaning angle 5 measures 55°. Angles 5 and 7 are supplementary angles, so angle 7 measures 125°. B is the correct answer.

The ordered pair shown will be graphed on a coordinate plane.
(4.9)
Which statement is true?
F The 4 is the y-coordinate and the 9 is

H The 9 is the y-coordinate and the 4 is
the origin.

G The 9 is the x-coordinate and indicates
movement parallel to the x-axis.

J The 4 is the x-coordinate and indicates
movement parallel to the x-axis.

Answers

The true statement about the given ones is:

"The 4 is the x-coordinate and indicates movement parallel to the x-axis."

Which statements are correct?

A general point in 2D is written as (x-coordinate, y-coordinate). The x-axis is the horizontal axis, and the y-axis is the vertical one. With information we can graph the point.

Here we have the point (4, 9), then:

4 = x-coordinate.

9= y-coordinate.

And to graph these, just move these number of units along (or parallel to) the correspondent axis.

The only true statement from the given one is:

"The 4 is the x-coordinate and indicates movement parallel to the x-axis."

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Write out an equation of each parabola with the given focus and directrix.
focus: (2, -1); directrix: y = -4​

Answers

The equation of each parabola with the given focus and directrix is:

y = (1/6)x² - (2/3)x - 11/6

Here, we have,

To derive the equation of the parabola, let (x , y) be a point in the parabola. Its distance from the focus should be equal to its distance from the directrix.

we will show here how to do  an equation of each parabola with the given focus and directrix.

1.)  focus: (2, -1); directrix: y = -4​

                      d (point to focus) = d (point to directrix)

                        sqrt ((x - 2)² + (y + 1)²) = (y + 4)

Squaring both sides gives us,

                                 (x - 2)² + (y + 1)² = (y + 4)²

Simplifying gives,

                      x² - 4x + 4 + y² + 2y + 1 = y² + 8y +16

Simplifying leads to,

                                       6y = x² - 4x -11

This leads to our final answer of

                                  y = (1/6)x² - (2/3)x - 11/6

Hence, The equation of each parabola with the given focus and directrix is: y = (1/6)x² - (2/3)x - 11/6

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Aaron wants to draw the development of a cylinder. Which method of development should he use?

A.
parallel line
B.
approximate
C.
triangulation
D.
radial line
E.
non-curved to non-curved triangulation

Answers

Answer:

The correct option is A. Parallel line.

Solve for x. Round to the nearest tenth of a degree, if necessary.

Answers

The value of angle x is 48.07 degree.

Given that,

ΔSTU is right angle triangle

TU = 7

SU = 9.4

Since sinx = opposite/hypotenuse

                 = TU/SU

                 = 7/9.4

                 = 0.744

⇒ sinix = 0.744

Take inverse of sinx both sides

⇒ x = 48.07 degree

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Solve the following problems using the Charged Chip model. Please draw pictures and explain your thinking for each
problem:
1.9+(-4)
2.9-(-4)
3.-9+4
4.-9-(-4)
5. Make up your own problem and then solve it!

Answers

The values with Charged Chip model are

9 + (-4) = 5.

9-(-4)=13

-9+4=-5

-9-(-4)=-5

To solve 9 + (-4), we start with 9 positive chips and take away 4 negative chips. We can represent this as:

[+][+][+][+][+][+][+][+][+]

[-][-][-][-]

When we combine the chips, we end up with 5 positive chips remaining:

[+][+][+][+][+]

Therefore, 9 + (-4) = 5.

To solve 9 - (-4), we start with 9 positive chips and add 4 negative chips. We can represent this as:

[+][+][+][+][+][+][+][+][+]

[-][-][-][-]

When we combine the chips, we end up with 13 positive chips remaining:

[+][+][+][+][+][+][+][+][+][+][+][+][+]

Therefore, 9 - (-4) = 13.

Similarly -9+4 value is -5

-9-(-4) value is -5

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Suppose that the amount of cosmic radiation to which a person is exposed when
flying by jets across the US is a random variable having a normal distribution with mean 4.35
mrem and standard deviation 0.59 mrem. What is the probability that a person will be exposed
to more than 5.20 mrem of cosmic radiation on such a flight?

Answers

The probability that a person will be exposed to more than 5.20 mrem of cosmic radiation on a flight across the US is 0.0745, or 7.45%.

We want to find the probability that a person will be exposed to more than 5.20 mrem of cosmic radiation on such a flight.

Let X be the amount of cosmic radiation exposure on a flight.

Then we need to find P(X > 5.20).

We need to standardize the random variable X by converting it to a standard normal variable Z with mean 0 and standard deviation 1, using the formula:

Z = (X - μ) / σ

Substituting the given values, we get:

Z = (5.20 - 4.35) / 0.59 = 1.44

Now we need to find the probability that a standard normal variable is greater than 1.44.

Using a standard normal distribution table or a calculator, we can find that this probability is approximately 0.0745.

Therefore, the probability that a person will be exposed to more than 5.20 mrem of cosmic radiation on a flight across the US is 0.0745, or 7.45%.

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The object above is made up of 1 inch cubes what is the volume of the object

Answers

The volume of the object made up of 3 cubes of 1 inch each is 3 cubic inches.

To find the volume of the object made up of 3 cubes, we need to know the dimensions of the object in terms of the length, width, and height.

If each cube has a length, width, and height of 1 inch, then the object made up of 3 cubes will have a length of 3 inches, a width of 1 inch, and a height of 1 inch.

Therefore, the volume of the object is:

Volume = Length x Width x Height

Volume = 3 inches x 1 inch x 1 inch

Volume = 3 cubic inches

So, the volume of the object made up of 3 cubes is 3 cubic inches.

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--The given question is incomplete, the complete question is given

" The object is of 3 cubes is made up of 1 inch cubes what is the volume of the object"--

Review the following problem and answer the questions that follow.



1) What mistake was made? Be specific.

2) What suggestion would you give me to avoid making that same mistake in the future?

Answers

The mistake done in the solution is while finding the distance from mean we have not taken the absolute value

To find the MAD (Mean Absolute Deviation), first find the mean of the data set:

mean = (2 + 3 + 4 + 7 + 9 + 11) / 6 = 6

Then, calculate the absolute deviation of each data point from the mean:

|2 - 6| = 4

|3 - 6| = 3

|4 - 6| = 2

|7 - 6| = 1

|9 - 6| = 3

|11 - 6| = 5

Next, find the average of these absolute deviations:

(4 + 3 + 2 + 1 + 3 + 5) / 6 = 2.67

While find the distance from mean we have to use the absolute value or positive value

Hemce, the MAD of the data set {2, 3, 4, 7, 9, 11} is 2.67.

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Select the correct answer. Which logarithmic equation is equivalent to this exponential equation? 2400=7500(10)^-x

Answers

The logarithmic equation is equivalent to this exponential equation is x = log (8/25) (option c).

In this case, we are asked to find the logarithmic equation that is equivalent to the given exponential equation:

2,400 = 7,500(10)⁻ˣ

To solve for x, we need to isolate it on one side of the equation. We can start by dividing both sides by 7,500:

2,400/7,500 = (10)⁻ˣ

The choice of base for the logarithm doesn't matter, as long as we use the same base for both sides. Let's use base 10:

log(2,400/7,500) = log(10⁻ˣ)

Using the properties of logarithms, we can simplify the right-hand side:

log(2,400/7,500) = -x*log(10)

We know that log(10) = 1, so we can simplify further:

log(2,400/7,500) = -x

x = log(8/25) = log(8) - log(25) = 0.9031 - 1.3979 = -0.4948

So the only answer choice that gives us the same equation as the original exponential equation is (C) x = log (8/25).

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Complete Question:

Which logarithmic equation is equivalent to this exponential equation?

2,400 = 7,500(10)^(-x)

A. x= -log (25/8)

B. x = log(-25/8)

C. x = log (8/25)

D. x = -log (8/25)

What is -9 as a fraction?

Answers

Answer:

[tex]-\frac{9}{1}[/tex]

Step-by-step explanation:

Its just the same way as making positive 9
a fraction, but just add the negative sign.

Hope this helps :))

It is common knowledge that a fair penny will land heads up 50% of the time and tails up 50% of the time. It is very unlikely for a penny to land on its edge when flipped, so a probability of 0 is assigned to this outcome. A curious student suspects that 5 pennies glued together will land on their edge 50% of the time. To investigate this claim, the student securely glues together 5 pennies and flips the penny stack 100 times. Of the 100 flips, the penny stack lands on its edge 46 times. The student would like to know if the data provide convincing evidence that the true proportion of flips for which the penny stack will land on its edge differs from 0.5. The student tests the hypotheses H0: p = 0.50 versus Ha: p ≠ 0.50, where p = the true proportion of all flips for which the penny stack will land on its edge. The conditions for inference are met. The standardized test statistic is z = –0.80 and the P-value is 0.2119. What conclusion should the student make using the α = 0.10 significance level?

A) Because the test statistic is less than α = 0.10, there is convincing evidence that the true proportion of flips for which the penny stack will land on its edge differs from 0.5.
B) Because the P-value is greater than α = 0.10, there is convincing evidence that the true proportion of flips for which the penny stack will land on its edge differs from 0.5.
C) Because the P-value is greater than α = 0.10, there is not convincing evidence that the true proportion of flips for which the penny stack will land on its edge differs from 0.5.
D) Because the test statistic is less than α = 0.10, there is not convincing evidence that the true proportion of flips for which the penny stack will land on its edge differs from 0.5.

Answers

The correct answer is:

C) Because the P-value is greater than α = 0.10, there is not convincing evidence that the true proportion of flips for which the penny stack will land on its edge differs from 0.5.

The student set up a hypothesis test to investigate whether there is evidence that the true proportion of flips for which the penny stack will land on its edge differs from 0.5. The null hypothesis is that the proportion is 0.5, and the alternative hypothesis is that it differs from 0.5.

The student obtained a standardized test statistic of z = -0.80 and a P-value of 0.2119.

To make a conclusion, the student needs to compare the P-value to the significance level α.

The significance level is given as 0.10, which means that the student is willing to accept a 10% chance of making a Type I error (rejecting the null hypothesis when it is actually true).

Since the P-value of 0.2119 is greater than α = 0.10, there is not convincing evidence to reject the null hypothesis. Therefore, the student cannot conclude that the true proportion of flips for which the penny stack will land on its edge differs from 0.5.

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Gladys is working with the offset command in CAD. What is the sequence of steps that Gladys should follow to use the offset command?

add the distance of the offset

object from the original object
select the original object to be offset

select the offset command

select a point anywhere on the screen where you want to offset the object

Answers

Answer:

The correct sequence of steps to use the offset command is:

1. Select the original object to be offset

2. Select the offset command

3. Add the distance of the offset

4. Select a point anywhere on the screen where you want to offset the object

5. Select the object from the original object

I hope that helps!

100 points !!! BRAINLIEST TOO Pls pls help me with this question asap

Answers

The y-intercept represents the base price of $200 for airfare from NYC.

The slope represent a cost of $0.30 cents per mile traveled.

According to the equation given, someone who traveled 2000 miles from NYC would pay $800 for their fare.

According to the equation given, someone who paid $500 for airfare from NYC would have traveled 1000 miles.

If the base cost for airfare changed to $50 and the cost per mile is unchanged, the new equation would be y = 50 + 0.30x.

What is the slope-intercept form?

In Mathematics, the slope-intercept form of the equation of any straight line is modeled by this mathematical equation;

y = mx + c

Where:

m represent the slope or rate of change.x and y are the points.c represent the y-intercept or initial value.

Based on the information provided about this trip, an equation that represents the situation is given by;

y = mx + c

y = 0.30x + 200

When x = 2000 miles, the price of airfare (y) can be calculated as follows;

y = 0.30(2000) + 200

y = $800.

When y = $500, the distance traveled (x) can be calculated as follows;

500 = 0.30x + 200

300 = 0.30x

x = 1000 miles.

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Cole is saving money at a constant rate. Suppose he initially has $190 saved, and after 3 months, he has $265 saved.

Express the rate at which Cole is saving.

Answers

To find the rate at which Cole is saving, we need to use the formula for average rate of change:

Average rate of change = (change in quantity)/(change in time)

In this case, the "quantity" is the amount of money Cole saves, and the "time" is the number of months.

The change in quantity is:

$265 - $190 = $75

The change in time is:

3 months - 0 months = 3 months

Therefore, the average rate of change is:

Average rate of change = (change in quantity)/(change in time) = $75/3 months = $25/month

So, Cole is saving money at a constant rate of $25 per month.

In a sporting event, the scoring area (shown here) consists of four concentric circles on the ice with radii of 4 inches, 3 feet, 5 feet, and 8 feetIf a team member lands a (43-pound) stone randomly within the scoring area, find the probability that it ends up centered on the given color

Answers

The probability that it ends up centered on the red color is 39/64.

Given that there are four concentric circles on the ice with radii of 4 inches, 3 feet, 5 feet, and 8 feet,

We need to find the probability that it ends up centered on the red color.

So,

The total area = 8²π = 64π

4 inches = 1/3 feet

So, the area of red part = (8²-5²)π = 39π ft²

So, the probability that it ends up centered on the red color = area of red part / total area

= 39/64

Hence the probability that it ends up centered on the red color is 39/64.

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6. The circle graph gives the percentage
of students who favor the different lunch
menus offered by the school cafeteria.
Find mKL and mLMJ.

Answers

The value of KL and LMJ in the pie chart are 54 degrees and 198 degrees respectively

What is the value of the angles from pie chart

The pie chart is an important type of data representation. It contains different segments and sectors in which each segment and sector of a pie chart forms a specific portion of the total(percentage). The sum of all the data is equal to 360°. The total value of the pie is always 100%.

To find the value of angle KL and LMJ, we can proceed as;

a. angle KL;

KL = 15 / 100 = x / 360

KL = 0.15 = x / 360

x = 360 * 0.15

x = 54°

KL = 54°

Let's find LMJ

LMJ = 24 + 31 = 55%

55 / 100 = x / 360

0.55 = x / 360

x = 360 * 0.55

x = 198°

LMJ = 198°

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Please help. Need within 40 min. Will give brainliest. 100 points! Statistics. Please give explanation too

Answers

This data does not provide sufficient evidence that the level of radon in the country is unsafe at the 0.05 level of significance.

We have taken a random sample of 32 homes and we have measured the radon level in each. The sample mean is 4.9 with a standard deviation of 2.1. Using a significance level of 5 %, we have to determine whether this data provides convincing evidence that the mean radon level in the country is too high.

State:

H1: mu = 4

H2: mu > 4 (unsafe radon level)

The parameter is an acceptably safe radon level.

The significance level (alpha) = 0.05.

We will do a one-sample t-test with a random sample, large sample size (> 30), and sample size of less than 10% of the population

t-stat = (sample mean - population mean)/(sample standard deviation/square root(sample size)

= (4.9 - 4)/(2.1/[tex]\sqrt{32}[/tex]) = 2.42

p-value = P(t > 2.42) with 31 degrees of freedom is just above 0.1 (using table value for DOF = 30).

We will not reject H1 at 0.05 level of significance as

p-value > level of significance.

Therefore, we do not have sufficient evidence that the level of radon in the country is unsafe at the 0.05 level of significance.

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The United States has over 310 million residents. Suppose that you want to estimate the proportion of Americans who ate breakfast this morning to within a margin-of-error of 3 percentage points with 95% confidence. About how many people would you need to randomly sample? (Assume all selected will respond to the survey.) Choose the best answer from the following choices.

Answers

We would need to randomly sample at least 1067 people to estimate the proportion of Americans who ate breakfast this morning with a margin of error of 3 percentage points and a 95% confidence interval.

The formula to calculate the sample size required to achieve a desired margin of error and confidence interval is:

n = (Z² x p x (1-p)) / E²

where n is the sample size, Z is the z-score corresponding to the desired level of confidence (1.96 for 95% confidence), p is the estimated proportion of the population who ate breakfast, and E is the desired margin of error as a decimal (0.03 in this case).

To determine the estimated proportion of Americans who ate breakfast this morning, we could use data from previous studies or surveys. Let's assume that previous studies have found that approximately 60% of Americans eat breakfast regularly. Therefore, we can use p = 0.60 in our formula.

Substituting the values into the formula, we get:

n = (1.96² x 0.60 x 0.40) / 0.03²

n ≈ 1067

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An triangle has vertices
as shown in the diagram. It has been translated vertically and/or horizontally to the triangle with vertices labelled
and
using a translation matrix defined as
.

A coordinate system has an unlabeled horizontal x-axis and an unlabeled vertical y-axis. There are 2 right triangles. The first triangle has vertices labeled A, B and C. Point A is 2 units to the left of the origin, point B is at the origin, and point C is 1 unit above the origin. The second triangle has vertices labeled A’, B’, and C’. Point A’ is 1 unit below the origin. Point B’ is 2 units to the right and one unit below the origin. Point C’ is 2 units right of the origin.
(The choices and pic are attached.)

Answers

The translation matrix is,

[tex]\left[\begin{array}{ccc}2&2&2\\-1&-1&-1\end{array}\right][/tex]

How to solve

The coordinates of the triangle as a coordinate matrix is

-2 0 0

0 0 1.

Here the triangle has been translated 2 units right and 1 unit down.

Translating the triangle 2 units to the right means that each x -coordinate increases by 2.

Translating the triangle 1 unit down means that each y -coordinate decreases by 1.

So the translation matrix is,

[tex]\left[\begin{array}{ccc}2&2&2\\-1&-1&-1\end{array}\right][/tex]

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need help will give branlist

Answers

Answer:

Step-by-step explanation:

Please help me huge points just for the correct answer

Answers

The area of the kite is 47.25 square feet.

Given is a figure of Kite.

We know that the diagonal of a Kite divides the Kite into equal two triangles.

Here same things happened.

For the upper triangle, the length of the base is = 10.5 feet.

And the base of the height corresponding to that base = 4.5 feet.

So the area of the upper triangles = (1/2)*10.5*4.5 = 23.625 square feet.

Since the areas of the triangles are equal so the area of the bottom triangle is also 23.625 square feet.

Hence the area of Kite = sum of the areas of this triangles = 23.625 + 23.625 = 47.25 square feet.

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Eight times a number

A
8+n
B
8n
C
8−n
D
8n

Answers

Answer:

The answer is D

Step-by-step explanation:

8× the number

let the number be n

8×n=8n

Answer:

8n

Step-by-step explanation:

whenever a number is attached to a variable, that means multiplication. 8n is the correct answer.

have a great day and thx for your inquiry :)

5 1/2 feet =what to inches

Answers

Answer:

66 inches

Step-by-step explanation:

Every foot is twelve inches

Answer: 66 inch is in 5 1/2 feet

Step-by-step explanation: there is 12 inches in 1 foot so you do 12 x 5= 60 then there is 6 inches in a half of a foot so you add 60 and 6 and you get 66 inches

PLEASE HELP!!!!!! I WILL MARK BRAINIEST!!!!!

Answers

g(x) can be expressed as a transformation of f(x) by vertical compression by a factor of 1/2.

Option C is the correct answer.

We have,

To find the transformation that maps f(x) to g(x), we need to determine how the points of g(x) relate to the points of f(x).

First, we can see that the two functions have the same x-coordinates (1 and 4). This means that the transformation only affects the y-coordinates of the points.

At x = 1,

f(x) has a y-value of 4, and g(x) has a y-value of 2.

This means that g(x) is f(x) after vertical compression by a factor of 1/2.

At x = 4, f(x) has a y-value of 8, and g(x) has a y-value of 4.

This means that g(x) is f(x) after vertical compression by a factor of 1/2.

Therefore,

g(x) can be expressed as a transformation of f(x) by vertical compression by a factor of 1/2.

i.e

g(x) = (1/2) f(x)

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A rectangular tank 80 cm wide by 100 cm long by 60 cm high is filled up with water up to of its height. Water is then poured into the tank until it is 3 filled with 384 € of water. Find the amount of water that was poured the tank. Give your answer in litres.​

Answers

Answer:

0 liters

Step-by-step explanation:

The first step in solving this problem is to find the volume of water that was originally in the tank when it was filled up to of its height. Since the tank is rectangular, we can use the formula for the volume of a rectangular prism:

Volume of tank = length x width x height = 100 cm x 80 cm x 30 cm = 240,000 cm³

Since the tank was filled up to of its height, the volume of water in the tank at this point is:

Volume of water in tank = 100 cm x 80 cm x 30 cm x 0.5 = 1,200,000 cm³

To find the amount of water that was poured into the tank to fill it up to 3 of its height, we need to subtract the volume of water that was originally in the tank from the total volume of water when it is 3 filled, which is 384 liters or 384,000 cm³ (since 1 liter = 1000 cm³):

Volume of water poured into tank = Volume of water when 3 filled - Volume of water in tank at of its height

= 384,000 cm³ - 1,200,000 cm³

= -816,000 cm³

Wait a minute, this result is negative, which means there was no water poured into the tank to reach the 3 filled level. In fact, it suggests that there was an excess of water that had to be removed from the tank to reach the desired level. This could be because the dimensions of the tank were not exact or because the tank was not level when filled to the first level.

Therefore, the answer to the problem is 0 liters or 0 cm³.

Note: It is important to always check the result of a calculation to ensure it makes sense in the context of the problem. In this case, the negative volume of water poured into the tank indicates that there may be an error in the problem statement or in the measurements provided.

HELP ME I NEED YOU REAL FAST

Answers

Surface area  of Maya's deck box  is 11.075 square meter and Volume is 2.15625 cubic meters

The dimensions of Maya's deck box are length is 2.3 m, width is 1.25m and height is 0.75m

Surface area =2lw+2lh+2hw.

=2(2.3×1.25) + 2(2.3×0.75) + 2(0.75×1.25)

=2(2.875) + 2(1.725)+2(0.9375)

=5.75+3.45+1.875

=11.075 square meter

Volume = Length×width×height

=2.3×1.25×0.75

=2.15625 cubic meters

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Carol says that there is not a fraction greater than 1/2
and less than 3/4. Diane disagrees and gives an example
with a denominator of 16.
?/6
Enter a possible whole number for the numerator in Diane's
fraction.

Answers

u could put 9,10, or 11.
8/16 is 1/2 and 12/16 is 3/4, so
9/16,10,16,and 11/16 are all valid

PC.64 Carl's Carpet Cleaning Company is searching for ways to become more productive in its carpet cleaning process. He has invested in new equipment and has also been experimenting with new cleaning solution recipes in order to lower costs and improve quality. Carl plans to iron out all the bugs in his improved process so that he can grow his company by franchising. The table below gives information on the last two months of carpet cleaning jobs with the most recent month showing the results after these changes were made: Outputs / Inputs Price/Cost per Unit ($) Two Months Back Last Month Carpets Cleaned $89 72 85 Labor (hours) $10.50 130 126 Solution (gallons) $6.99 125 102 What was the two-months-ago single-factor productivity for Carl's Carpet Cleaning in terms of labor dollars? In other words, for every dollar spent on labor, how many dollars of sales would they obtain? (Display your answer to two decimal places.) 4.69 From two months ago to last month, by what percentage did Carl's productivity increase or decrease in terms of solution (gallons and number of carpets cleaned, not revenue dollars)? Write your answer as a percentage. Display your answer to two decimal places. 44.68 % What was last month's multi-factor productivity (not two months ago) for Carl's Carpet Cleaning in terms of dollars? (In other words, how many dollars of revenue did each dollar of inputs produce?) (Display your answer to two decimal places.) Number By what percentage did Carl's Carpet Cleaning multi-factor productivity improve, in terms of dollars, from two months ago to last month? (Write your answer as a percentage, and display your answer to two decimal places.) %

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Step-by-step explanation:

How many schools have fewer than 50 classrooms

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Answer:

7 schools have fewer than 50 classrooms.

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