How do you find the coordinates of a translation?

The coordinates of point J so that GH is the hypotenuse of the right triangle formed by joining the three points will be (3,-8).

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

Given is a coordinate grid with the points G (-5, -8) and H (3, 7) plotted on it. In order for GH to be the hypotenuse of the right triangle created by joining the three points, point J is plotted.

Thus, the coordinates of point J so that GH is the hypotenuse of the right triangle formed by joining the three points will be (3,-8).

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Answer:

x = \(\frac{8}{3}\)

Step-by-step explanation:

Using the rule of logarithms

log x - log y = log (\(\frac{x}{y}\) )

\(log_{b}\) x = n ⇒ x = \(b^{n}\)

Given

\(log_{2}\) (9x) - \(log_{2}\) 3 = 3

\(log_{2}\) (\(\frac{9x}{3}\) ) = 3

\(log_{2}\) 3x = 3

3x = 2³ = 8 ( divide both sides by 3 )

x = \(\frac{8}{3}\)

mhorn seems to be correct

Step-by-step explanation:

yshahaa

The sampling method that is most likely to be appropriate for calculating confidence intervals is simple random sampling.

This method ensures that every member of the population has an equal chance of being selected for the sample. This reduces the risk of bias and ensures that the sample is representative of the population. Stratified sampling is also a useful method for calculating confidence intervals, especially when the population has subgroups that need to be represented in the sample. However, other sampling methods like convenience sampling or quota sampling are not appropriate for calculating confidence intervals as they can introduce bias into the sample and do not guarantee a representative sample. Therefore, it is important to use an appropriate sampling method when calculating confidence intervals to ensure that the results accurately reflect the population.

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The majority of the children intentionally burned in cases of child abuse are typically in the age range of 0 to 5 years old.

Child abuse involving intentional burning is a distressing issue, and understanding the age group most affected can help address and prevent such incidents. While there is no specific age mentioned in the question, we can provide a general understanding based on available data and trends. Child abuse can occur across various age groups, but infants and young children are often particularly vulnerable.

According to studies and reports, children between the ages of 0 to 5 years old are most commonly affected by intentional burning in cases of child abuse. This age group is particularly vulnerable due to their dependency on caregivers and limited ability to protect themselves. The specific age range may vary depending on different studies or sources, but it is important to note that children in their early years are at a higher risk.

Therefore, the majority of the children intentionally burned in cases of child abuse are typically in the age range of 0 to 5 years old.

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Answer:

Step-by-step explanation:

Answer: 90°

Step-by-step explanation:

Angle b is vertical to the angle that has a measure of 90°

Answer:

\(\sum {{n} \atop {1}} \right 6n+2n^2\)

Step-by-step explanation:

Given the series 8 + 12 + 16 + 20+ ...

Sum of nth term Sn = n/2[2a+(n-1)d]

a is the first term = 8

d is the common difference = 12 - 8 = 16 - 12 = 4

Substitute

Sn = n/2[2(8)+(n-1)(4)]

Sn = n/2[16+4n-4]

Sn = n/2[12+4n]

Sn  2n/2[6+2n]

Sn = n(6+2n)

Sn = 6n + 2n²

Hence the sigma representation is expressed as;

\(\sum {{n} \atop {1}} \right 6n+2n^2\)

Answer:

24 slices

Step-by-step explanation:

There are 3 whole pizzas. He cuts each of them into eighths. That means eight slices. 3 times 8 is 24. There are a total of 24 slices. This can also look like this: 24/8   or 24 over 8.  Which also equals to 3.

\(6x(2xy + 5) \)

An equation of the question is 250 × 0.94^n = 150 and in approx 8 years it will have about 150 students.

The population of its high school decreases by 6% each year.

The senior class has 250 students now.

Each year decrease in population = 6% = 0.06

So it can be = 1 - 0.06 = 0.94

Total student now = 250

Let n be the number of years before the class will have  students.

So the equation should be = 250 × 0.94^n

After years left students = 150.

Now the equation should be

250 × 0.94^n = 150

Now solving the equation.

Divide by 250 on both side, we get

0.94^n = 150/250

0.94^n = 3/5

Taking log on both side, we get

log(0.94^n) = log(3/5)

Using the formula log(m^n) = n logm and log(m/n) = log m - log n

n log(0.94) = log3 - log5

Now finding the value of log using calculator

n (-0.062) = 1.099 - 1.61

(-0.062)n = -0.511

Divide by (-0.062) on both side, we get

n = 8.242

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The complete question is:

As a town gets smaller, the population of its high school decreases by 6% each year. The senior class has 250 students now. In how many years will it have about 150 students? Write an equation. Then solve the equation without graphing. Write an equation to represent this situation. Let n be the number of years before the class will have  students.

Answer:

*** "and" means multiply

2/9

Step-by-step explanation:

*** "and" means multiply

spinning a vowel is 1/3

not spinning a 1 is 2/3

1/3 times 2/3 is 2/9

The percentage of the original area of wetlands currently left in the United States is approximately 50%. So, the correct

option is 50% (option 3).

Percentages are a way of expressing a proportion or a fraction as a part of 100. It is denoted by the symbol "%".

According to the United States Environmental Protection Agency (EPA), it is estimated that about 50% of the original

wetlands in the contiguous United States have been lost since the 1600s due to human activities such as agriculture,

development, and urbanization. Therefore, the correct answer to the question is 50%.

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The percentage of the original area of wetlands currently left in the United States is approximately 50%.

Wetlands are regions of land where the soil is continually or intermittently soaked with water. Wetlands have a particular hydrology, soil, and vegetation mix that results in specialised ecosystems that offer a variety of ecological functions.

There are many different types of habitats where wetlands can be found, such as coastal locations, interior regions, and high-altitude mountain regions. They come in a variety of shapes, such as marshes, swamps, bogs, fens, and estuaries, and can be freshwater, brackish, or saline.

Wetlands are significant for several reasons. For species, such as migrating birds, amphibians, and fish, they offer crucial habitats. They also aid in removing contaminants from water, lessen the effects of flooding, and give people access to recreational activities. Wetlands are crucial for carbon sequestration as well.
Based on the information provided, the question is asking for the approximate percentage of the original area of wetlands currently left in the United States. The answer is approximately 50%.

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The missing corresponding side length in Figure B is 30 meters.

Perimeter is the total length of the boundary of a two-dimensional shape. It is found by adding up the lengths of all the sides of the shape.

Since Figure A and Figure B are similar, their corresponding side lengths are proportional.

Let's represent the missing side length in Figure B with x. Then, we can set up a proportion to solve for x:

18 / (72 - 3 × 18) = x / (120 - 3 × x)

Here, 72 - 3 × 18 represents the sum of the other three sides in Figure A, and 120 - 3 × x represents the sum of the other three sides in Figure B.

Simplifying the left-hand side, we get:

18 / (72 - 3 × 18) = 18 / 18 = 1

Substituting this into the proportion, we get:

1 = x / (120 - 3 × x)

Multiplying both sides by (120 - 3 × x), we get:

120 - 3 × x = x

Simplifying and solving for x, we get:

4x = 120

x = 30

Therefore, the missing corresponding side length in Figure B is 30 meters.

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Answer:

18yi+ 21y^2

Step-by-step explanation:

answer 18 yi+21y2

step by step

Among the provided vectors, only Vector 3 has equal-magnitude components.

To determine which vector has equal-magnitude components, we need to calculate the x-component and y-component of each vector.

Let's calculate the x-component and y-component of each vector:

Vector 1:

- x-component = 7 units * cos(70°) ≈ 2.39 units

- y-component = 7 units * sin(70°) ≈ 6.56 units

Vector 2:

- x-component = 5 units * cos(155°) ≈ -3.96 units

- y-component = 5 units * sin(155°) ≈ -4.72 units

Vector 3:

- x-component = 3 units * cos(225°) ≈ -2.12 units

- y-component = 3 units * sin(225°) ≈ -2.12 units

Now, let's compare the x-components and y-components of the vectors:

Vector 1 does not have equal-magnitude components since the x-component (2.39 units) is not equal to the y-component (6.56 units).

Vector 2 does not have equal-magnitude components since the x-component (-3.96 units) is not equal to the y-component (-4.72 units).

Vector 3 has equal-magnitude components since the x-component (-2.12 units) is equal to the y-component (-2.12 units).

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Answer: mmm

Step-by-step explanation:

mmm

We cannot construct such an interval using the normal approximation.

Null Hypothesis: The heart transplant procedure did not alter the survival rates of the observed patients. Alternate Hypothesis, Ha: The claim was that the patients getting a heart transplant were more likely to survive than those who did not.

Normal distribution is the approximation for large distribution from binomial, poisson distribution etc. Moreover, the variables are discrete and few; and instead of the actual observations we are working on counts data. In the given situation it is preferred to use chi square distribution. As chi square test is used we can check whether the two groups are the same or different. Therefore, it is not possible to construct a confidence interval.

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Answer:

45726.82

Step-by-step explanation:

Yes

The area of a parallelogram is 45726.82 square units.

A parallelogram is a special kind of quadrilateral that is formed by parallel lines. The angle between the adjacent sides of a parallelogram may vary but the opposite sides need to be parallel for it to be a parallelogram. A quadrilateral will be a parallelogram if its opposite sides are parallel and congruent.

Given that, b= 202.6 units and h= 225.7 units

We know that, the area of a parallelogram is Base×Height

= 202.6×225.7

= 45726.82 square units

Therefore, the area of a parallelogram is 45726.82 square units.

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The present value of an investment that will pay you $15,000 in 9 years, with an appropriate discount rate of 8 percent compounded daily, is $7,638.61.

This is calculated using the following formula:

\(\begin{equation}PV = \frac{FV}{(1 + r)^n}\end{equation}\)

\(\begin{equation}PV = \frac{15000}{(1 + 0.08)^{3285}} = 0.00001059\end{equation}\)

Present Value = $7,638.61

The number of years is 9 years multiplied by 365 days per year, which is 3285 days. The interest rate is 8 percent divided by 365 days per year, which is 0.0002191780822.

In other words, if you invest $7,638.61 today at 8 percent compounded daily, you will have $15,000 in 9 years.

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Answer:

35 degrees

Step-by-step explanation:

Step-by-step explanation:

\({:}\hookrightarrow\sf \dfrac {1}{4}\div \dfrac {9}{10}\)

\({:}\hookrightarrow\sf \dfrac {1}{4}\times \dfrac {10}{9}\)

\({:}\hookrightarrow\sf \dfrac {10}{36}\)

\({:}\hookrightarrow\sf \dfrac {5}{18}\)

Answer:

With a z score of 1.75, mean of 28 and standard deviation of 8

1.75=(Xi-28)/8

14=(Xi-28)

42 = Xi

Kurt was on the treadmill for 42 minutes

Step-by-step explanation:

Answers:

(a)  9 cm

(b)  2 cm

======================================

Work shown for part (a)

A = s^2

s = sqrt(A)

s = sqrt(81)

s = 9

-----------------

Work shown for part (b)

P = 4s

s = P/4

s = 8/4

s = 2

The side length of the square with area of 81 cm² is :

The side of the square with the perimeter of 8 m is :

Solution:

We're given the area of a square : 81 cm².

To find one of its sides, we need to take the square root of that.

So we have:

\(\sf{Side\:length{\square}=\sqrt{81}} \\ \\ \sf{Side\:length\square=9}\)

We know that if we take the square root of 81, we will get two solutions: 9 and -9; however we cannot use -9, because having a negative side length is impossible.

__________________________

To find the side length when given the perimeter, we divide it by 4, because the formula for a square's perimeter is P = 4a.

So if we rearrange that for a, we will get : a = P/4.

where a = side length

Solving,

The probability that the mean contents of the bottles in a six-pack is less than 295 ml is approximately 0.1587, or 15.87%.

To solve this, use the standard normal distribution and the cumulative distribution function (CDF) of the normal distribution.

Standardize the value of 295 ml by subtracting the mean of the distribution (298 ml) and dividing by the standard deviation (3 ml):

Z = (295 - 298) / 3 = -1

The CDF of the standard normal distribution gives us the probability that a random variable from a standard normal distribution is less than or equal to a certain value. Using a standard normal table or a calculator with normal distribution functions, we find that the probability that a standard normal random variable is less than or equal to -1 is approximately 0.1587.

Since the contents of the bottles are normally distributed with mean 298 ml and standard deviation 3 ml, we can use the standard normal distribution and the standard score Z to approximate the probability of observing a mean contents of less than 295 ml in a six-pack of bottles. This probability is approximately 0.1587, or 15.87%.

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Answer:

Step-by-step explanation:

If two angles are complementary and one of the angle is 39°, the value for another angle is 51°.

What is an angle?

An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.

If two angles are complementary, their sum is 90°.

So, if one of the angles has a measure of 39°, the other angle can be found by subtracting 39° from 90° -

This is represented as -

90° - 39° = 51°

Therefore, the other angle measure is 51°.

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Answer: 36

The equation that represents circles that have a diameter of 12 units and a center that lies on the y-axis is x²+ (y-3)² = 36

The standard form for finding the equation of a circle is expressed as;

(x-a)^2 + (y-b)^2 = b=r^2

where;

(a, b) is the center of the circle

r is the radius of the circle

Given the following

diameter = 12 units

radius = 12/2 = 6 units

If the centre lies on the y-axis, the center will be at (0, 3)

Substituting into the formula, we will have (x-0)^2 + (y-3)^2 = 6^2 equivalent to x²+ (y-3)² = 36