A line segment has endpoints at (3, 2) and (2, –3). Which reflection will produce an image with endpoints at (3, –2) and (2, 3)?

a reflection of the line segment across the x-axis
a reflection of the line segment across the y-axis
a reflection of the line segment across the line y = x
a reflection of the line segment across the line y = –x

To determine how long it will take Mary Corens to repay her student loan, we can divide the total loan amount of $15,000 by the annual repayment amount of $1,800. The result will give us the number of years it will take her to repay the loan.

it will take Mary approximately 8 years to repay the loan.

By dividing the total loan amount of $15,000 by the annual repayment amount of $1,800, we can calculate the number of years needed to repay the loan.

Loan amount: $15,000

Annual repayment: $1,800

Number of years = Loan amount / Annual repayment

Number of years = $15,000 / $1,800

Number of years ≈ 8.33

Since we are asked to round the answer to the nearest whole number, Mary will take approximately 8 years to repay the loan.

It's important to note that this calculation assumes a constant annual repayment amount of $1,800 throughout the entire loan repayment period. In reality, factors such as interest accrual and varying repayment schedules may affect the actual time it takes to fully repay the loan. Additionally, any changes to the annual repayment amount would also impact the duration of the loan repayment.

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The volume of a rectangular prism of width W, length L, and Height H is calculated as:

The solid in the figure is a cube (W = L = H) with a side length of

Calculating the volume:

Choice c.

Answer:

They cannot show all of the interactions taking place.

Step-by-step explanation:

This is because food webs are constantly changing between animals and you can't capture all of the animals in a food web, in a model.

Please mark me the brainliest!?!

The disadvantage of using models to study the food web is that they cannot help in making predictions about a population.

Food Web is defined as the network of two or more food chains.

Food chains are a pattern of distribution of energy in the ecosystem where one organism eats another organism and after a period, that organism is consumed by another and the pattern goes on.

Models can be used to describe the relationship of consuming different species in a community.

Models can show the interactions taking place between the organisms.

But models cannot help in making predictions about a population.

Population can be affected by various other factors like migration, emigration, birth and death as well which won't be predicted using the model of food web.

Hence the disadvantage of using models is they cannot help in making predictions about a population.

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Answer:

A

Step-by-step explanation:

Median can be described as the number that occurs at the middle of a set of observations.

for example, in the set of numbers, 1 2 3 4 5, the median is 3

median = (first number + last number) / 2

If there are 29 students,

median = (1 + 29) / 2 = 30/2 = 15

the 15th students scored 84

and students between 1 - 14 scored lower than 84

so, 15 students scored an 84 or lower

The sample mean of the given data is 24.

To find the mean:

Therefore, the sample mean of the given data is 24.

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The factored form is B. (b-10)(\(b^{2}\)+10b+100)

Answer:

B) 18%

Step-by-step explanation:

100% - 36% - 29% - 17% = 18%

Answer:

the answer would be B) 18%

Answer:

(a) 1:12

(b) 12:1

(c) 1:100

(d) 100:1

Answer:

2(4) + 1(5) ÷ 5(4)

8 + 5/20

13/20

3(8) + 2(6) ÷ 6(8)

24 + 12 ÷ 48

36/48

3/4

1(3) + 2(7) ÷ 7(3)

3 + 14 ÷ 21

17/21

3(6) + 5(1) ÷ 5(6)

18 + 5/30

23/30

1(5) + 2(3) ÷ 3(5)

5 + 6/15

11/15

-TheUnknownScientist 72

Answer:

I think 15 or 25

Step-by-step explanation:

If you divide 75 by 5 then you get 15. So if you plant 5 seeds per pot then you will need 15 pots to plant all of the seeds.

Also,

If you divided 75 by 3 it =25

Answer:

3x^2 + 7xy + 5

Step-by-step explanation:

The area of the parallelogram is 2 sqrt (14) square units. To find the area of the parallelogram with adjacent sides u and v, we can calculate the cross product of the two given vectors and then find the magnitude of the resulting vector.

u = 2i - 3j + 2k
v = 0i + 2j + k
Now let's compute the cross-product of u and v:
u x v = i(-3 * 1 - 2 * 2) - j(2 * 1 - 2 * 0) + k(2 * 2 - 0 * (-3))
      = -7i + 4j + 4k
Now we'll find the magnitude of this vector:
|u x v| = √((-7)² + 4² + 4²) = √(49 + 16 + 16) = √81 = 9
Therefore, the area of the parallelogram with adjacent sides u and v is 9 square units.

To find the area of a parallelogram, we need to take the cross-product of the two adjacent sides.
First, we can find the vector that represents the second adjacent side by subtracting u from v:
v - u = (2j + k) - (2 - 3j + 2k) = -2 + 3j - k
Now we can take the cross-product of u and v-u:
u x (v-u) = (2 - 3j + 2k) x (-2 + 3j - k) = (-6 - 2j - 6k)
The magnitude of this cross-product gives us the area of the parallelogram:
|u x (v-u)| = sqrt((-6)² + (-2)² + (-6)²) = sqrt(56) = 2sqrt(14)
Therefore, the area of the parallelogram is 2 sqrt (14) square units.

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Answer:

=147x2+406x−253

Step-by-step explanation:

Answer:

My name is math JR LOL

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

\(x58 \frac{.225 {.39 < }^{?} }{?} \)

\(.555121213 \frac{ = < < \sqrt{ { \frac{?}{?} }^{?} } }{?} \)

(a) we have: s X - 1 dx / (2x + 6) = 1/2 - 2/(x + 3)

(b)  We have: s In(kx) dx = x ln(kx) - kx + C.

(a) To evaluate the integral of s X - 1 dx / (2x + 6), we can use a technique called partial fraction decomposition. We begin by factoring the denominator:

2x + 6 = 2(x + 3)

Next, we write the fraction as a sum of two simpler fractions with denominators of 2 and x + 3:

s X - 1 dx / (2x + 6) = A/2 + B/(x + 3),

where A and B are constants that we need to solve for. Multiplying both sides by the common denominator (2x + 6), we get:

X - 1 = A(x + 3) + B(2)

Plugging in x = -3, we get:

-4A = -4

So, A = 1. Plugging in x = -1, we get:

-2B = 4

So, B = -2.

Therefore, we have:

s X - 1 dx / (2x + 6) = 1/2 - 2/(x + 3)

Now, we can integrate each term separately:

s X - 1 dx / (2x + 6) = 1/2 ln|2x + 6| - 2 ln|x + 3| + C,

where C is an arbitrary constant of integration.

(b) To evaluate the integral of In(kx) dx, we can use integration by substitution. Let u = kx, then du/dx = k and dx = du/k. Substituting these into the integral, we get:

s In(kx) dx = s ln(u) du/k = 1/k s ln(u) du

Integrating ln(u), we get:

s ln(u) du = u ln(u) - u + C = x ln(kx) - kx + C,

where C is an arbitrary constant of integration. Therefore, we have:

s In(kx) dx = x ln(kx) - kx + C.

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Answer:

C)  2

Step-by-step explanation:

step 1:  Find mean of data set

2+4+4+5+7+8 = 30

30/6 = 5

Mean = 5

step 2: subtract each data value from the mean and square it

5-2 = 3;   3² = 9

5-4 = 1;   1² = 1

5-4 = 1;   1² = 1

5-5 = 0;   0² = 0

5-7 = -2;   (-2²) = 4

5-8 = -3;   (-3²) = 9

Add the squared results:

9+1+1+0+4+9 = 24

Divide 24 by 6 to get the Variance of 4

Take the square root of the Variance to get the Standard Deviation

\(\sqrt{4}\) = 2

Answer:

2.8

Step-by-step explanation:

b. Stratified sampling. The schools were divided into strata (groups) and a random sample was taken from each stratum.

The sampling technique used in this scenario is stratified sampling.

Stratified sampling is a sampling method where the population is first divided into non-overlapping subgroups, called strata, based on some relevant characteristics. Then, a random sample is selected from each stratum, and these samples are combined to form the complete sample. This technique is commonly used when the population has subgroups that differ from each other in some important aspect, and the researchers want to ensure that the sample is representative of all the subgroups.

In this scenario, the population is staff members in high schools, and there are 12 high schools in the district. The subgroups (strata) are the staff members in each school. The researchers want to ensure that they get a representative sample from each school, so they select a random sample of 20 staff members from each school. Then, they combine all the samples to form the complete sample. This technique helps to ensure that the sample is representative of all the high schools in the district.

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Answer:

31 years

Step-by-step explanation:

65000*(1.07) ^31 is around $529000

however, 65000*(1.07) ^30 is around $491000

so you would need 31 years to gain more than $500,000.

It will take approximately 30 years to reach $500,000 in savings with an investment that earns an average of 7% per year.

To determine the number of years it will take to reach $500,000 in savings with an investment that earns an average of 7% per year, we can use the given investment model equation: y = 65000(1.07)ˣ.

We need to find the value of x, which represents the number of years.

Setting y = $500,000, we can solve for x:

500,000 = 65,000(1.07)ˣ

500,000/65,000 = (1.07)ˣ

100/13 = (1.07)ˣ

To solve for x, we take the logarithm of both sides:

ln 100/13 = ln (1.07)ˣ

ln 100/13 = x ln (1.07)

x = (ln 100/13)/(ln (1.07))

x = 30

Therefore, it will take approximately 30 years to reach $500,000 in savings with an investment that earns an average of 7% per year.

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The value of the expression when evaluated is: -18.

Evaluation of an expression involves plugging in the values of the given variables and then solving to determine the value of the expression in it's simplest form.

Given the expression, 4a - |3b + 2c|, to evaluate, substitute a = -2, b = -3, c = 2 into the expression and solve:

4(-3) - |3(-3) + 2(2)|

-13 - |-9 + 4|

-13 - |-5|

-13 - 5

= -18

The value of the expression is: -18.

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(b) The probability is 0.71639, (c) Probability is 0.0527, (d) Probability is 0.5278.

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Probability of males who are color blind = 8% = 0.08

Probability of males who are not color blind = 92% = 0.92

(b) Probability that she won't find anyone color blind among the first four men she checks = (0.92) (0.92) (0.92) (0.92) = 0.71639 = 71.639 %

(c) If the first color blind man is the sixth person checked, the five person prior to this are not color blind.

Probability = (0.92)⁵ (0.08) = 0.0527 = 5.27%

(d) Probability before checking the 10th man means the probability of finding colorblind person among the 9 person.

Probability of finding no person color blind among 9 person = (0.92)⁹ = 0.47216 = 47.216%.

Probability that she finds someone who is color blind before checking the 10th man is = 1 - 0.47216 = 0.5278 = 52.78%

Hence the probabilities in every cases is found.

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A random variable is a variable that takes on values that are uncertain or probabilistic in nature.

Therefore, the correct option is a) A variable that takes on values that are uncertain.

Random variables can be discrete, meaning they can only take on specific values, or continuous, meaning they can take on any value within a certain range.

These variables are commonly used in statistical analyses and probability theory to model various phenomena, such as the outcome of a dice roll or the height of individuals in a population.

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Answer:

the answer is 54

Step-by-step explanation:

hshhwhs

Answer:

Yes, by AA, since angle DEF is congruent to HEJ (vertical angles are congruent), and angle DFE is congruent to HJE.

So triangle DEF is similar to triangle HEJ.

Answer:

25%

Step-by-step explanation:

Answer:

Sally ate 40% of the pizza and there was 60% of the pizza leftover.

Step-by-step explanation:

A percentage is a rate, number, or amount in each hundred.

There were 10 slices of pizza, she ate 4.

4/10 = 40/100 multiplied by 10, which would let us find the percentage.

Therefore, Sally ate 40% of the pizza and left 60% back.

Hope This Helps!

Answer:

its 2b+30 bc you can't find b in this case

Step-by-step explanation:

Answer:

526

758

393

146

115

Step-by-step explanation:

The relative frequency for private vehicles is 97%, the relative frequency for public transport is 0 and the relative frequency for others is 2.

It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the total frequency cell by the total frequency.

We know the formula for the relative frequency:

\(\rm Rf = \frac{Frequency}{Total \ frequency}\)

From the data given the Rf value for the private vehicle:

\(\rm Rf = \frac{1887}{1928} \times100\)

Rf = 0.97×100 = 97%

For public transport:

= 0.005×100

= 0.5

= 0  (whole value)

For other:

= 0.022×100

= 2.2

=2 (whole value)

Thus, the relative frequency for private vehicles is 97%, the relative frequency for public transport is 0 and the relative frequency for others is 2.

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Answer:

8(x + 6) = 144

Step-by-step explanation:

We can start building this equation by making everything equal to 144 since the problem is representing the total number of apples:

? = 144

Next, we don't know how many apples are in each basket, so we can represent it with a variable, x.

Since 6 apples are added to each basket we will simply add 6 to the "x" amount of apples in each basket:

x + 6 = 144

Lastly, according to the scenario, we have 8 baskets, each holding "x" amount of apples plus the extra 6 that was added, so it will be multiplied:

8(x + 6) = 144