What type of transformation gives you an image which is a similar figure to the pre-image?

Answer: A

Step-by-step explanation: -----------------

Answer:

7/15

Step-by-step explanation:

yeah

Answer:

7/15

Step-by-step explanation:

4/5-1/3 = \(\frac{3.4 - 5}{15}\) = 7/15

Answer:

4^5/ 4^-9

Step-by-step explanation:

the third one

Answer:

Jeanette is the friend walking at the same rate as Caroline. This is because Jeanette also takes 1/5 of an hour to walk a mile.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

It takes Caroline 1/5 of an hour to walk a mile. Four of Caroline's friends time themselves on their own walk of different lengths. Which friend is walking at the same rate as Caroline? If:

David walked 1/2 a mile in 2/5 an hour

Jeanette walked 1/2 a mile in a 1/10 an hour

Kay walked 1/5 a mile 1/2 a hour

Mark walked 1/3 a mile in 3/5 an hour

The explanation of the answer is now given as follows:

To determine which friend is walking at the same rate as Caroline, we first convert their rate to number hours it takes to walk a mile as follows:

a. David walked 1/2 a mile in 2/5 an hour

This implies that:

(1 / 2) * 2 = 2/2 = 1 mile

(2 / 5) * 2 = 4/5 of an hour

Therefore, David takes 4/5 of an hour to walk a mile.

b. Jeanette walked 1/2 a mile in a 1/10 an hour

This implies that:

(1 / 2) * 2 = 2/2 = 1 mile

(1 / 10) * 2 = 2 / 10 = 1/5 of an hour

Therefore, Jeanette takes 1/5 of an hour to walk a mile.

c. Kay walked 1/5 a mile 1/2 a hour

This implies that:

(1 / 5) * 5 = 5/5 = 1 mile

(1 / 2) * 5 = 5 / 2 = 2.5 hours

Therefore, Kay takes 2.5 hours to walk a mile.

d. Mark walked 1/3 a mile in 3/5 an hour

This implies that:

(1 / 3) * 3 = 3/3 = 1 mile

(3 / 5) * 3 = (3 * 3) / 5 = 9 / 5 = 1.8 hours

Therefore, Kay takes 1.8 hours to walk a mile.

Conclusion.

Based on the calculations above, only Jeanette is walking at the same rate as Caroline. This is because Jeanette also takes 1/5 of an hour to walk a mile.

Hey there,

Solve the equation:

4x - 5 = 2 - x

4x - 5 = -x + 2

4x - 5 + 5 = -x + 2 + 5

4x = -x + 7

4x + x = -x + 7 + x

5x = 7

x = 7/5 = 1,4

✅;)

Answer:

4x-5=2-x

Place all x terms on one side

4x-5=2 (+x to equation on the left)

5x-5=2

5x (+5 to equation on the right) =2

5x=7

(÷5 to get x on its own) x=7

x=1.4

Each entry in the table is the probability of the corresponding outcome (e.g. Upper C 1 and Upper R 1) occurring.

a. The completed contingency table is:

Upper C 1   Upper C 2   Total
Upper R 1      4           8          12
Upper R 2     10           8          18
Total              14          16          30

b. To find ​P(Upper C 1​), we add up the values in the Upper C 1 column and divide by the total number of observations:

​P(Upper C 1​) =\(\frac{(4 + 10)} { 30} = 0.47\)
To find ​P(Upper R 2​), we add up the values in the Upper R 2 row and divide by the total number of observations:

​P(Upper R 2​)\(= \frac{18} { 30} = 0.6\)

To find ​P(Upper C 1 ​& Upper R 2​), we look at the intersection of the Upper C 1 column and the Upper R 2 row, which is 10. We then divide by the total number of observations:

​P(Upper C 1 ​& Upper R 2​) = 10 / 30 = 0.33

c. The joint probability distribution is:

Upper C 1   Upper C 2   Total
Upper R 1    0.13       0.27      0.4
Upper R 2   0.33       0.27      0.6
Total            0.47       0.53      1.0

Each entry in the table is the probability of the corresponding outcome (e.g. Upper C 1 and Upper R 1) occurring.

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Since we know that the heptagon is convex, all of its interior angles are less than 180 degrees. Let's call the smallest angle x degrees.

According to the problem, the other six angles are each 1 degree larger than the angle just smaller than it. This means the second angle is x+1, the third angle is x+2, and so on, until we get to the seventh angle which is x+6.

We know that the sum of the interior angles of a heptagon is (7-2) * 180 = 900 degrees. So we can set up an equation:

x + (x+1) + (x+2) + (x+3) + (x+4) + (x+5) + (x+6) = 900

Simplifying this equation, we get:

7x + 21 = 900

Subtracting 21 from both sides:

7x = 879

Dividing both sides by 7:

x = 125.57

So the smallest angle is approximately 125.57 degrees.

To find the fourth largest angle, we need to find the value of x+3.

x+3 = 125.57 + 3 = 128.57

So the fourth largest angle is approximately 128.57 degrees.

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Answer:

(A) The two fractions can be 0.54 and 0.55 and something else also between 0.50 and 0.60.

(B) The two decimals equivalent to Laura’s decimal are 0.6 and 0.600.

Step-by-step explanation:

We are given that Laura shaded 60 squares on her hundredths grid. Billy shaded 50 squares on his hundredths grid.

(A) Laura shaded 60 squares on her hundredths grid, that means;

\(60 \times \frac{1}{100} = 0.60\)

Similarly, Billy shaded 50 squares on his hundredths grid, that means;

\(50 \times \frac{1}{100} = 0.50\)

The two fractions that have a value greater than Billy’s decimal and less than Laura’s decimal is given by;

This means 0.50 < x < 0.60

The two fractions can be 0.54 and 0.55 and something else also between 0.50 and 0.60.

(B) The two decimals equivalent to Laura’s decimal are;

Laura's decimal fraction is 0.60

So, 0.6 is equivalent to 0.60

and 0.600 is also equivalent to 0.60

Hence, the two decimals equivalent to Laura’s decimal are 0.6 and 0.600.

The explicit formula for the given sequence is\($-2 n+10$\).

Given sequence is-

\($$8,6,4,2,0 \text {, }$$\)

In the given sequence there is a common difference of $-2$ in two successive terms so the given sequence is an arithmetic sequence.

Here

first term\($\left(a_1\right)=8$\)

common difference \($(d)=-2$\)

So the explicit formula for the nth term of the given sequence-

\(& a_n=a_1+(n-1) d \\\)

\(& a_n=8+(n-1)(-2) \\\)

\(& a_n=8-2 n+2 \\\)

\(& a_n=-2 n+10\)

So the explicit formula for the given sequence is \($-2 n+10$\)

Now

\(& a_{14}=-2(14)+10 \\\)

\(& a_{14}=-28+10 \\\)

\(& a_{14}=-18\)

So \($a_{14}=-18$\) is the required answer.

Also, explicit formula for the given sequence is\($-2 n+10$\).

The complete question is,

Write an explicit formula for the sequence 8,6,4,2,0, ...Then find \($a_{14}$\).

\(& -a_n=-2 n+10 ;-16 \\\)

\(& -a_n=-2 n+8 ;-18 \\\)

\(& -a_n=-2 n+8 ;-20 \\\)

\(& -a_n=-2 n+10 ;-18\)

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Answer:

9.9

Step-by-step explanation:

To solve this problem, we first need to know that the whole length of the circunference is related to a central angle of 2pi radians. Then, we can solve using a rule of three to find the radius:

arc of 6.6 -> central angle of 2/3

arc of 2*pi*r -> central angle of 2pi

2*pi*r * (2/3) = 6.6 * 2*pi

r * (2/3) = 6.6

r = 6.6 / (2/3) = 9.9

So the length of the radius is 9.9

A D. simple random sample is a sample in which every member of the population has an equal chance of being chosen.

A. Systematic: In a systematic sample, the population is first ordered or arranged in some systematic way, such as by alphabetical order or numerical sequence. Then, a starting point is randomly selected, and subsequent members are chosen at regular intervals from the ordered list. This method ensures that every member of the population has an equal chance of being selected.

B. Probability: The term "probability sample" is a general concept that encompasses various sampling methods. It refers to any sample in which each member of the population has a known nonzero probability of being selected. Probability sampling methods include simple random sampling, stratified sampling, cluster sampling, and systematic sampling.

C. Stratified: In stratified sampling, the population is divided into distinct subgroups or strata based on specific characteristics or attributes. Then, a random sample is taken from each stratum in proportion to its representation in the overall population. This method ensures that the sample is representative of the population across different subgroups or strata.

D. Simple random: A simple random sample is a sampling method where each member of the population has an equal and independent chance of being selected. It involves selecting individuals randomly and without any specific pattern or grouping. This method ensures that each member of the population has an equal probability of being chosen, leading to unbiased estimates and generalizability to the larger population.

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Answer:

ratio

Step-by-step explanation:

by using a conversion factor and a fraction, a ratio can be created to convert one unit to another.

Answer:

50a^6b^5

Step-by-step explanation:

I don't see answer choices, but this is the simplified version. To do this, multiply 10*5, a^3 * a^3 (which adds the exponents), and then b^3*b^2.

The inverse Laplace transform of G(s) is \(g(t) = 10e^{-t} - 10e^{-3t}\).

To find the inverse Laplace transform of the given function G(s), we can use partial fraction decomposition and known Laplace transforms. The partial fraction decomposition of G(s) is:

\(G(s) = 10s^2e^{-s} / (s+1)(s+3)\)

To perform the partial fraction decomposition, let's write G(s) in the following form:

G(s) = A/(s+1) + B/(s+3)

To find the values of A and B, we need to find a common denominator for the two fractions on the right-hand side:

\(10s^2e^{-s} = A(s+3) + B(s+1)\)

Expanding the right-hand side:

\(10s^2e^{-s} = As + 3A + Bs + B\)

Now, equating the coefficients of \(s^2\), s, and the constant term:

Coefficient of \(s^2\):

10 = A

Coefficient of s:

0 = A + B

Constant term:

0 = 3A + B

From the first equation, A = 10. Substituting this value in the second and third equations:

0 = 10 + B

0 = 3(10) + B

From the second equation, B = -10. Substituting B = -10 into the third equation:

0 = 3(10) - 10

0 = 30 - 10

0 = 20

Now that we have the values of A and B, we can rewrite G(s) as:

G(s) = 10/(s+1) - 10/(s+3)

To find the inverse Laplace transform of G(s), we can use the known Laplace transform pairs. The inverse Laplace transform of 10/(s+1) is 10e^(-t), and the inverse Laplace transform of \(-10/(s+3) is -10e^{-3t}\). Therefore, the inverse Laplace transform of G(s) is:

\(g(t) = 10e^{-t} - 10e^{-3t}\)

So, the inverse Laplace transform of G(s) is \(g(t) = 10e^{-t} - 10e^{-3t}\).

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The probability that the total is bigger than or equal to 3 is given as follows:

35/36.

The two parameters that are needed to calculate a probability are listed as follows:

Then the probability is given as the division of the number of desired outcomes by the number of total outcomes.

The total number of outcomes when two dice are rolled is given as follows:

6² = 36.

There is only one outcome with a sum less than 3, which is given as follows:

(1,1).

Hence the probability that the total is bigger than or equal to 3 is given as follows:

1 - 1/36 = 36/36 - 1/36 = 35/36.

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Answer:

Step-by-step explanation:

Straight line.

Answer:

The semi-circles form an entire circle with a diameter of 74.

The radius is 37

The area of the rectangle is 95 x 74 = 7030

The area of the circle is 3.142 x 37*37 = 4298.66

The total area is 11328.66

If there are 100 cows in this dairy, it requires a total of 32000 L of water daily to operate the dairy. According to the U.S. Department of Agriculture, the average dairy cow can consume up to 200 L of water daily.

An additional 120 L per cow per day is required to wash the milking equipment and milking area. So, in total, a single cow requires 320 L of water per day. For instance, suppose there are 100 cows in this dairy.

To determine the total quantity of water required for the day, multiply the amount of water needed per cow by the number of cows:100 cows × 320 L/cow = 32000 L

Therefore, if there are 100 cows in this dairy, it requires a total of 32000 L of water daily to operate the dairy.

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We can Long Division method to solve quotients step by step

What is long division method and its steps ?

When splitting huge numbers, the task is divided into several sequential parts using the long division approach. The dividend is divided by the divisor, just as in conventional division problems, and the result is known as the quotient; occasionally, it also produces a remainder.

We need to comprehend a few stages in order to divide. A vinculum or right parenthesis separates the dividend from the quotient, while a vertical bar separates the divisor from the dividend. Let's now go through the long division stages listed below to comprehend the procedure.

1. Take the dividend's first digit starting from the left . Verify if this digit exceeds or is equal to the divisor.

2. Next, divide it by the divisor, and write the result as the quotient on top.

3. Subtract the outcome from the digit, and then put the difference below.

Step 4: Decrease the dividend's subsequent digit (if present).

Step 5: Carry out Step 4 again.

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Answer:

A

Step-by-step explanation

Dilation: A shape is scaled up or down by a scale factor

Translation: A shape is moved on a coordinate plane to a different spot.

A works because lets you one side (the bottom side). The bottom has a length of 3, and the bigger one has a length of 6, showing a scale factor of 2.

The answers to the questions are as follows a)50  out of the 200 vehicles will fail in their first 2 years. b)The approximate probability that 50 or more vehicles fail in their first 2 years is essentially zero. c) the approximate probability that no more than 10 of the remaining vehicles fail in their first 2 years is essentially zero.

(a) The average lifespan of the vehicle follows an exponential distribution with a rate parameter of λ = 1/8 since the average lifespan is 8 years. Let X be the number of vehicles that fail in their first 2 years. Then X follows a Poisson distribution with parameter λt, where t is the time period of interest, which is 2 years. Therefore, the expected number of vehicles that fail in their first 2 years is E(X) = λt = (1/8)*2 = 1/4. So we would expect 1/4 * 200 = 50 of the 200 vehicles to fail in their first 2 years.

(b) The number of vehicles that fail in their first 2 years follows a Poisson distribution with parameter λt = 1/4. To approximate the probability that 50 or more of them fail in their first 2 years, we can use the normal approximation to the Poisson distribution. The mean of the normal distribution is μ = λt = 1/4, and the variance is σ^2 = λt = 1/4.

Therefore, the standard deviation is σ = \(\sqrt{\frac{1}{4} }\)= 1/2. To standardize the random variable X, we use the formula Z = (X - μ)/σ. Therefore, Z = (50 - 1/4)/(1/2) = 99.5. Using a standard normal distribution table or calculator, the probability of Z being greater than or equal to 99.5 is essentially zero, so the approximate probability that 50 or more vehicles fail in their first 2 years is essentially zero.

(c) Given that 30 vehicles have already failed in under 2 years, 170 vehicles are remaining. We want to find the probability that no more than 10 fail in their first 2 years. Since the number of vehicles that fail in their first 2 years follows a Poisson distribution with parameter λt = 1/4, the number of vehicles that do not fail in their first 2 years follows a Poisson distribution with parameter μ = λt * (number of remaining vehicles) = (1/4)*170 = 42.5. Therefore, the probability that no more than 10 of the remaining vehicles fail in their first 2 years is the same as that a Poisson distribution with parameter 42.5 is less than or equal to 10.

The resulting Z-score is Z = (10 - 42.5)/sqrt(42.5) = -6.72. Using a standard normal distribution table or calculator, the probability of Z being less than or equal to -6.72 is essentially zero, so the approximate probability that no more than 10 of the remaining vehicles fail in their first 2 years is essentially zero.

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To find an adjacent angle and opposite angles, we need to look at the position of the angles in relation to each other.

An adjacent angle is an angle that is directly next to another angle and shares a common side. An opposite angle is an angle that is directly across from another angle and does not share a common side.

For example, if we have a quadrilateral with angles A, B, C, and D, angle A would be adjacent to angles B and D, and opposite to angle C. Similarly, angle B would be adjacent to angles A and C, and opposite to angle D.

So to find an adjacent angle, look for an angle that shares a common side with the given angle. To find an opposite angle, look for an angle that is directly across from the given angle and does not share a common side.

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Answer:

25.5 feet because of some

Step-by-step explanation:

.,........

Answer:

Step-by-step explanation:

Answer:

16 pennies

Step-by-step explanation:

74 - 18 = 56

56 / 7 = 8

1/7 of the pennies is 8 pennies.

2/7 of the pennies are 16 pennies.

Answer:

18 pennies

Step-by-step explanation:

74-18=56

56/7=8

8x2=16

Answer:

3. 8 feet

Step-by-step explanation:

To find the horizontal distance (x) in feet, we can use the following steps:

Step 1: Determine the vertical height that the box has been lifted.

The difference between the two points is:

9 ft - 3 ft = 6 ft.

Therefore, the box has been lifted 6 feet.

Step 2: Use the slope of the ramp to find the horizontal distance (x).

The slope of the ramp is given as 3/4. This means that for every 3 feet the ramp rises vertically, it moves 4 feet horizontally. We can set up a proportion to solve for x:

3/4 = 6/x

We can cross-multiply to get:

3x = 24

Dividing both sides by 3 gives us:

x = 8

Therefore, the horizontal distance (x) is 8 feet.

Answer:

153°

Step-by-step explanation:

Angle EHG is a right angle, so it measures 90°.

The measures of angles EHF and FHG add to 90°.

m<EHF + m<FHG = 90°

m<FHG = 27°

m<EHF + 27° = 180°

m<EHF = 153°

The present ages of the father and son are 36 and 9, respectively.

The sum of the ages of a father and son is 45 years. Five years ago, the product of their ages was four times the father's age at that time. To find the present ages of the father and son, we can set up a system of equations.

Let's denote the present ages of the father as "F" and the present age of the son as "S".

From the information given, we have two equations:

Equation 1: F + S = 45 (The sum of their ages is 45)
Equation 2: (F - 5)(S - 5) = 4(F - 5) (Five years ago, the product of their ages was four times the father's age at that time)

To solve this system of equations, we can use substitution or elimination method.

Let's solve it using the substitution method:

From Equation 1, we can express F in terms of S: F = 45 - S

Now, substitute F in Equation 2 with 45 - S:

(45 - S - 5)(S - 5) = 4(45 - S - 5)

Simplify the equation:

(40 - S)(S - 5) = 4(40 - S)

Expand and simplify:

40S - 5S - 200 + 25 = 160 - 4S

Combine like terms:

35S - 175 = 160 - 4S

Add 4S to both sides:

35S + 4S - 175 = 160

Combine like terms:

39S - 175 = 160

Add 175 to both sides:

39S = 335

Divide both sides by 39:

S = 335/39

Simplify:

S ≈ 8.59

Since age cannot be in decimal places, we can approximate the son's age to the nearest whole number:

S ≈ 9

Now, substitute S = 9 into Equation 1 to find the father's age:

F + 9 = 45

Subtract 9 from both sides:

F = 45 - 9

F = 36

Therefore, the present ages of the father and son are 36 and 9, respectively.

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Answer:

0.3 cups

Step-by-step explanation:

divide 6 by 20

Step-by-step explanation:

first you go by counting by 2s and when your done it says one will ride alone so minus 1 that is 5 so the answer will be 5