parallelogram fghj was dilated and translated to form similar parallelogram f'g'h'j'. what is the scale factor of the dilation? 4 8

Answers:

Kinetic Energy Formula: \(KE = \frac{1}{2} mv^2\)

Potential Energy Formula: \(PE=mgh\)

Explanations:

For KE:

Kinetic energy is directly proportional to the mass of the object and to the square of its velocity. If the mass has units of kilograms and the velocity of meters per second, the kinetic energy has units of kilograms-meters squared per second squared.

For PE:

In the above equation, m represents the mass of the object, h represents the height of the object and g represents the gravitational field strength (9.8 N/kg on Earth) - sometimes referred to as the acceleration of gravity.

Answer:

E is the answer

Step-by-step explanation:

This is a cyclic quadralterial so 21x-2 and 38x+5 is supplementary since they are opposite angles.

\(21x - 2 + 38x + 5 = 180\)

\(59x + 3 = 180\)

\(59x = 177\)

\(x = 3\)

Substitute 3 into angle A

\(38(3) + 5 = 119\)

Since HA, is the intercepted arc of Angle G Angle G is twice the size of Arc HA,

Angle G=238

Answer:

24/6=c

Step-by-step explanation:

Well to split 24 you need to divide by 6 and that will equal the answer. An equation always has a equal sign so you know that you would be solving for c

The profit margins (return on sales) for each division are approximately :Division A = 10.85%,Division B = 9.11% and The calculations for the year would be:Net Income = $85,428,Return on Assets = 18.9%.

To compute the profit margins (return on sales) for each division, we divide the profit by the sales and multiply by 100 to express the result as a percentage.

For Division A:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($230,000 / $2,120,000) * 100

Profit Margin ≈ 10.85%

For Division B:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($34,700 / $381,000) * 100

Profit Margin ≈ 9.11%

To calculate the net income and return on assets for Polly Esther Dress Shops Inc., we use the given information.

Net Income = Profit Margin * Sales

Net Income = 7% * $1,220,400

Net Income = $85,428

Return on Assets = Profit Margin * Asset Turnover

Return on Assets = 7% * 2.7

Return on Assets = 18.9%

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Answer:

14,837.98

Step-by-step explanation:

i just took a test and got it wrong with the answer the other person said , the test said this was the right answer :)

The following options are distributed uniformly when rolling two fair dice:

Option 1) The outcome (number) of the first die.

Option 7) The lower of the two outcomes.

A uniform distribution refers to a probability distribution where every possible outcome within a given range has an equal likelihood of occurring. It is a distribution in which all values are equally likely to be observed.

Given data,

Let the two dice be rolled such that the total number of outcomes is 36.

The outcome (number) of the first die: This is distributed uniformly as each number has an equal probability of being rolled.

The lower of the two outcomes: This is distributed uniformly as each number has an equal probability of being the lower outcome.

The ordered pair of outcomes:

The unordered pair of outcomes

The difference between the first and second outcomes:

The absolute value of the difference:

The sum of the two outcomes:

The difference between the first and second outcomes mod 6:

These options are not distributed uniformly as certain outcomes have higher probabilities than others.

Hence , the options that are distributed uniformly when rolling two fair dice are the outcome (number) of the first die and the lower of the two outcomes.

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Answer:

I know u probably already got it! But just in case this was my answer.

Step-by-step explanation:Your answer would be C i got it right!

Answer:

Answer is C!

Step-by-step explanation:

I just got it right!!!

Answer:4

Step-by-step explanation:22-4=18-4=14-4=10-4=6=2

Answer:

A.

Step-by-step explanation:

I can't see the full answer

The percent yield of the experiment was calculated to determine the efficiency of the process. The answer will be presented in two paragraphs, with the first summarizing the findings and the second providing an explanation.

The percent yield of a chemical reaction is a measure of the efficiency with which a reaction produces the desired product. In this experiment, a student mixed 100 grams of Substance A with 150 grams of Substance B and collected 120 grams of dried product. To calculate the percent yield, we use the formula: (Actual yield / Theoretical yield) × 100%.

In this case, the actual yield is the amount of dried product collected, which is 120 grams. The theoretical yield is the maximum amount of product that could be obtained based on the amounts of the starting substances and the balanced equation for the reaction. Since the question doesn't provide information about the reaction or the balanced equation, we cannot determine the theoretical yield precisely. However, assuming the reaction goes to completion and all the starting substances are converted into product, the theoretical yield can be estimated.

Let's assume that the reaction is 100% efficient and all of Substance A and Substance B react to form the desired product. In that case, the total amount of starting substances is 100 grams + 150 grams = 250 grams. If the reaction goes to completion, the theoretical yield would be 250 grams. Using the formula for percent yield, we can calculate: (120 grams / 250 grams) × 100% = 48%. Therefore, the percent yield of the experiment is estimated to be 48%, with two significant digits to match the precision of the given data.

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Answer:

"Can't be determined"

Step-by-step explanation:

From the triangles given in the picture,

Given:

m∠A = m∠C

m∠B = m∠D

But for the congruence of these triangles third condition is not given.

Therefore, congruence of these triangles can not be determined.

So the answer is "Can't be determined"

The Solomon four-group design includes two control groups: one that is not pretested and does not receive treatment, and another that is not pretested but receives treatment.

In the Solomon four-group design, there are two treatment groups and two control groups. The purpose of this design is to examine the interaction effect between pretesting and treatment.

The first control group does not receive any treatment, while the second control group also does not receive treatment but is pretested. These two control groups help to measure the impact of pretesting on the dependent variable.

The two treatment groups receive the treatment being studied, with one group being pretested and the other group not being pretested. By comparing the pretested and non-pretested treatment groups, researchers can determine if there is an interaction effect between pretesting and the treatment.

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Since the p-value (0.0179) is less than the typical significance level of 0.05, we reject the null hypothesis. We have evidence to suggest that the true proportion of uninjured occupants in head-on collisions exceeds 0.25 based on the sample data.

To test whether the true proportion of uninjured occupants in head-on collisions exceeds 0.25, we can perform a hypothesis test using the given sample data.

Let's set up the null and alternative hypotheses:

Null Hypothesis (H₀):

The true proportion of uninjured occupants in head-on collisions is 0.25 or less.

Alternative Hypothesis (H₁):

The true proportion of uninjured occupants in head-on collisions exceeds 0.25.

To test these hypotheses, we can use the proportion test, assuming the conditions for the test are met (e.g., the sample can be considered random and independent, and the sample size is sufficiently large).

Let's calculate the test statistic (z-score) and p-value based on the sample data.

Sample proportion of uninjured occupants:

p = 95/319 = 0.2978

Sample size:

n = 319

Under the null hypothesis, assuming the true proportion is 0.25 or less, the expected proportion of uninjured occupants is 0.25.

The test statistic (z-score) can be calculated as:

z = (p - p₀) / sqrt((p₀ * (1 - p₀)) / n)

where p₀ is the assumed proportion under the null hypothesis (0.25), and n is the sample size.

Substituting the values:

z = (0.2978 - 0.25) / sqrt((0.25 * (1 - 0.25)) / 319)

z = 2.1185

To determine the p-value associated with this test statistic, we can use a standard normal distribution table or a calculator. The p-value is the probability of observing a test statistic as extreme as the calculated z-value, assuming the null hypothesis is true.

The p-value associated with a z-score of 2.1185 is approximately 0.0179.

Finally, we can compare the p-value to the significance level (α) to make a decision. If the p-value is less than α (typically 0.05), we reject the null hypothesis in favor of the alternative hypothesis. If the p-value is greater than or equal to α, we fail to reject the null hypothesis.

In this case, since the p-value (0.0179) is less than the typical significance level of 0.05, we reject the null hypothesis. We have evidence to suggest that the true proportion of uninjured occupants in head-on collisions exceeds 0.25 based on the sample data.

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The rate of change of weight of the rabbit in pounds per week is 0.5 pounds per week.

To calculate the rate of change of weight of Samuel's rabbit in pounds per week, we need to look at how much the weight of the rabbit changes as the number of weeks since birth increases by one. This is also known as the slope of the linear relationship between the number of weeks and the weight of the rabbit.

Looking at the table below, we can see that when the rabbit is born (week 0), it weighs 0.5 pounds. As the number of weeks since birth increases by one, the weight of the rabbit increases by 0.5 pounds. This pattern continues for each subsequent week, with the weight of the rabbit increasing by 0.5 pounds each time.

| Number of Weeks Since Birth | Weight of Rabbit (in pounds) |
|-----------------------------|------------------------------|
|              0              |             0.5              |
|              1              |             1.0              |
|              2              |             1.5              |
|              3              |             2.0              |
|              4              |             2.5              |
|              5              |             3.0              |

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The probability of flipping a coin and drawing a card with an odd number on it is 2/5 or 0.4

To find the probability of flipping a coin and drawing a card with an odd number on it, we need to first determine the individual probabilities of each event.

The probability of flipping a coin and getting heads is 1/2 or 0.5.
The probability of drawing a card with an odd number on it is 2/5 or 0.4 since there are two odd numbers (1 and 3) out of the total of five cards (1, 2, 3, 4, 5).
To find the probability of both events occurring together, we multiply the probabilities.
P(heads and odd number) = P(heads) x P(odd number)
= 0.5 x 0.4
= 0.2
Therefore, the probability of flipping a coin and drawing a card with an odd number on it is 0.2 or 2/10.

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The probability of the coin landing on heads is 1/2 since there are only two possible outcomes. The probability of drawing a card with an odd number is 3/5 since there are three odd numbered cards out of the five. Therefore, the probability of the coin landing on heads and drawing a card with an odd number is 3/10.

To find the probability of both events happening together, we need to multiply the probabilities: 1/2 * 3/5 = 3/10
Therefore, the probability of the coin landing on heads and drawing a card with an odd number is 3/10.
It's important to note that probability is always a number between 0 and 1, with 0 meaning that the event will definitely not happen and 1 meaning that the event will definitely happen. In this case, the probability is less than 1, which means that there is a chance that the event may not occur. It's also worth noting that when we are calculating probabilities, we assume that each event is independent of the other, meaning that the outcome of one event does not affect the outcome of the other.

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A. The slope of this ramp is 4/15.

B. The new ordered pairs after the rotation are:

In Mathematics, the slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = rise/run

By substituting the given parameters into the slope formula, the slope of this ramp can be  calculated as follows;

Slope (m) of ramp = 4/15.

By applying a rotation of 90° clockwise to the vertices of triangle ABC, the coordinates of the vertices of the image are as follows:

(x, y)                               →            (y, -x)

Coordinate A = (1, 3) → Coordinate A' = (3, -(1)) = (3, -1)

Coordinate B = (2, 1) → Coordinate B' = (1, -(2)) = (6, -2)

Coordinate C = (1, 1) → Coordinate C' = (1, -(1)) = (1, -1)

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Answer:

4.4 mm

Step-by-step explanation:

Using the comparison given in the question, the value of 3*2 = 23

From the question given :

We can set up a comparison thus :

Here,

3*2

r*s = sr

Then

3*2 = 23

Therefore, the value of 3*2 = 23

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The 5 yards to 27 feet as a ratio is fraction form is 15/27 i.e., 5/9

the process of converting something from one form or usage to another; trading one type of property for another.

Conversion Rate is calculated as follows: Total Conversions / Total Sessions * 100. Total conversions divided by the total number of unique visitors multiplied by 100 equals conversion rate. Total conversions divided by total leads multiplied by 100 equals conversion rate.

The 5 yards to 27 feet as a ratio is fraction form is 15/27 i.e., in the lowest form it will be

5/9

The solution is 5/9

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Answer:

Twoja odpowiedź brzmi 23401.

Spójrz na zdjęcie, aby uzyskać dalsze wyjaśnienia.

Answer:

8?

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

0.04

Step-by-step explanation:

y=-x-4

Here is the picture of the graph:

Answer:

1.  $76,000

2. $58,000 + $2,000 * t

Step-by-step explanation:

2. Now, you might be questioning why we are going with the second question first, but this will be useful as it sets up our equation to make the first question easier. So, we will start with Luke's base salary of $58,000. Then, we will add $2,000 for every year he works at the company. If he works for t years and gains $2,000 on his salary per year, our equation will look like this:

$58,000 + $2,000 * t

That is the equation.

1. Now, using our previous equation, $58,000 + $2,000 * t, we will substitute 9 in for t. We get:

$58,000 + $2,000 * 9

Then, we simplify, giving us:

$58,000 + $18,000 = $76,000

Answer:

-3.5

Step-by-step explanation:

2x-8+3x=5x-8

5x-8=(2x+5)(x-7)-13

5x-8=2x+5+x-7-13

5x-8=3x-15

5x=3x-7

2x/2=-7/2

x=-3.5

The location of √ 7 on a number line between 2 and 3.

A number line is a picture of a graduated straight line that serves as a visual representation of real numbers in primary mathematics. Every number line point is considered to correspond to a real number and every real number to a number line point.

A number line is a long straight line with numbers marked at equal intervals. On a number line, we can argue that as we move to the right, the value of numbers increases. This signifies that the numbers on the right are more than those on the left.

A number line shows how numbers are related. It's a line with check marks next to each number. The numerals get smaller as you move left on the number line. The numbers grow larger as you move closer to the number line.

In this case, ✓7 is 2.65. This number can be found between 2 and 3. This should be the true statement since the options aren't given.

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The amount in a continuously compounded account is $ 565.2 .

If compound interest is calculated and reinvested into the balance of an account across an essentially unlimited number of periods, continuous compounding is the mathematical limit that compound interest can reach.

The amount in the continuously compounded account is given as:

\(A=Pe^{rt}\)

Where P is the principal amount, r is the interest rate, and t is the time period in years.

Now, we have

The principal amount, P = $500

Annual interest rate, r = 4.9 % = 4.9 / 100 = 0.049

Time = 2.5 years

Therefore, the amount in a continuously compounded account is:

\(\[A=Pe^{rt}\]\)

\(A = $500 \times e^{0.049 \times 2.5}\)

\(A = $500 \times e^{0.049 \times 2.5}\)

\(A = $500 \times e^{0.1225}\)

A = $500 × 1.13031912007

A = $ 565.159

A = $ 565.2

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Answer:

0

Step-by-step explanation:

0

Number planes contain points J, K and N is 0. Therefore, option A is the correct answer.

A plane in geometry is a level surface that never ends. Other names for it include a two-dimensional surface. A plane has an unlimited width, an endless length, zero thickness, and no curvature.

Given that, X and Y are planes.

In the given figure, point J lies outside the X and Y planes.

Points K and N are lies on plane X.

So, J, K and N are not lying in the same plane.

Therefore, option A is the correct answer.

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