Function h is a transformation of the parent exponential function, f(x) =2^x

h(x) = -3•2^x

which statement is true?
A. function h is a reflection and a translation of function f
B. function h is a horizontal translation of function f
C. function h is a reflection and a dilation of function f
D. function h is a vertical translation of function f

Answer:

no

Step-by-step explanation:

The gross earnings are $225, federal taxes are $40.50, state taxes are $9, social security deduction is $15.86, total deductions are $65.36, and the net pay is $159.64.

The gross earnings are determined by multiplying the pay rate by the number of hours worked.

Federal taxes, state taxes, and social security deductions are calculated by applying the respective tax rates to the gross earnings.

Total deductions are the sum of federal taxes, state taxes, and social security deductions.

Net pay is obtained by subtracting the total deductions from the gross earnings.

To calculate the gross earnings, we multiply the pay rate of $7.50 by the number of hours worked, which is 30.

Therefore, the gross earnings are $7.50 * 30 = $225.

Next, we can calculate the federal taxes by applying the tax rate of 18% to the gross earnings.

The federal taxes amount to 18% * $225 = $40.50.

Similarly, the state taxes can be calculated by applying the tax rate of 4% to the gross earnings.

The state taxes amount to 4% * $225 = $9.

To determine the social security deduction, we apply the tax rate of 7.05% to the gross earnings.

The social security deduction amounts to 7.05% * $225 = $15.86.

The total deductions are the sum of the federal taxes, state taxes, and social security deduction.

Thus, the total deductions are $40.50 + $9 + $15.86 = $65.36.

Finally, to calculate the net pay, we subtract the total deductions from the gross earnings.

Therefore, the net pay is $225 - $65.36 = $159.64.

In conclusion, the gross earnings are $225, federal taxes are $40.50, state taxes are $9, social security deduction is $15.86, total deductions are $65.36, and the net pay is $159.64.

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Answer:

Step-by-step explanation:

given data

mean = 1.9 hours

standard deviation = 0.3 hours

solution

we get here first  random movie between 1.8 and 2.0 hours

so here

P(1.8 < z < 2 )

z = (1.8 - 1.9) ÷ 0.3

z = -0.33

and

z = (2.0 - 1.9) ÷ 0.3

z = 0.33

z = 0.6293

so

P(-0.333 < z < 0.333 )

=  0.26

so random movie is between 1.8 and 2.0 hours long is 0.26

and

A movie is longer than 2.3 hours.

P(x > 2.3)

P( \(\frac{x-\mu }{\sigma}\)  > \(\frac{2.3-\mu }{\sigma}\) )

P (z  > \(\frac{2.3-1.9 }{0.3}\)  )

P (z  > 1.333  )

= 0.091

so chance a movie is longer than 2.3 hours is 0.091

and

length of movie that is shorter than 94% of the movies is

P(x > a ) = 0.94

P(x <  a ) = 0.06

so

P( \(\frac{x-\mu }{\sigma }\) <  \(\frac{a-\mu }{\sigma }\) )

\(\frac{a-1.9 }{0.3 } = -1.55\)

a = 1.43

so length of the movie that is shorter than 94% of the movies about 1.4 hours.

The money the student owe is $7500 + other terms

A loan is a type of debt that a person or other entity incurs. The lender advances the borrower a certain amount of money, typically on behalf of a business, financial institution, or government.

The borrower accepts a specific set of terms in return, which may include any

In a loan there are terms that should be agreed, In the problem the terms where not specified . The terms will say if the student is still owing more than the about just borrowed

another important thing is the duration of the loan

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Answer: y=2/5x - 4

Step-by-step explanation:

In the given regression equation, the slope of the line is - 1.23.

Regression equation:

in statistics, regression equation means the mathematical expression of the relationship between a dependent variable and one or more independent variables that results from conducting a regression analysis.

Given,

The average August temperatures (y) and geographic latitudes (x) of 12 cities in the United States were studied. The regression equation for these data is Temperature 90.4 -1.23*(latitude)

Here we need to the slope of the line.

While we looking into the given regression equation,

Temperature = 90.4 - 1.23x(latitude)

While we compare this one with the general slope of the line equation,

y = mx + c

where m refers the slope of the line.

Then we get the value of slope as -1.23.

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Answer:is this a literal question?

Step-by-step explanation:

if so than it depends on the subject for me

5 types of angles are formed by the lines cut by the transversal which are mainly corresponding angles, alternate interior angles, alternate exterior angles, co-interior angles, and consecutive interior angles.

Each pair of internal angles on the same side of a transversal that meets two parallel lines is supplementary, or they add up to 180°. The opposing angles that result from the junction of two lines are known as vertical angles or vertically opposed angles.

In geometry, a transversal line intersects two lines in the same plane at two different locations. In the Euclidean plane, transversals help establish the parallelism of two or more other straight lines.

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The APR on this loan is approximately 170.13%, and the EAR is approximately 18.24%.

To find the APR (Annual Percentage Rate) and EAR (Effective Annual Rate) on a mortgage loan, we need to follow these steps:

Step 1: Calculate the loan amount
Since you arranged for an 80 percent mortgage loan, the loan amount is 80 percent of the purchase price. We can find this by multiplying the purchase price by 0.8:
Loan Amount = $3,360,000 * 0.8 = $2,688,000

Step 2: Calculate the total interest paid over the life of the loan
To find the total interest paid, we subtract the loan amount from the total payments made over the life of the loan. The monthly payment is $16,900, and the loan term is 36 years, so the total payments made are:
Total Payments = $16,900 * 12 * 36 = $7,267,200

Total Interest Paid = Total Payments - Loan Amount
Total Interest Paid = $7,267,200 - $2,688,000 = $4,579,200

Step 3: Calculate the APR
The APR represents the annualized interest rate on the loan, taking into account any additional fees or costs. To calculate the APR, we divide the total interest paid by the loan amount and then multiply by 100 to express it as a percentage:
APR = (Total Interest Paid / Loan Amount) * 100
APR = ($4,579,200 / $2,688,000) * 100 = 170.13%

So the APR on this loan is approximately 170.13%.

Step 4: Calculate the EAR
The EAR represents the annualized interest rate, taking into account compounding. Since the monthly payment is fixed, we need to convert the APR to a monthly interest rate and then use it to calculate the EAR.

First, we divide the APR by 12 to get the monthly interest rate:
Monthly Interest Rate = APR / 12
Monthly Interest Rate = 170.13% / 12 = 14.18%

Next, we calculate the EAR using the formula:
EAR = (1 + Monthly Interest Rate)^12 - 1
EAR = (1 + 0.1418)^12 - 1

Using a calculator, we find:
EAR ≈ 18.24%

So the EAR on this loan is approximately 18.24%.

In summary, the APR on this loan is approximately 170.13%, and the EAR is approximately 18.24%.

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Based on statistical analysis, the predicted value of the rear width of a female orange crab with a carapace width of 36.4 mm is approximately 25.8 mm. However, it is important to note that this value is subject to some level of uncertainty, which can be quantified using a confidence interval.

The 95% confidence interval for the predicted rear width of the crab can be calculated using a statistical model that takes into account the relationship between carapace width and rear width for female orange crabs. This interval can be calculated as follows:

Lower limit = predicted value - (1.96 x standard error)
Upper limit = predicted value + (1.96 x standard error)
Assuming that the standard error is 2.2 mm, the 95% confidence interval for the predicted rear width of the crab would be approximately 21.4 mm to 30.2 mm.

It is worth noting that these values are based on statistical models and are not necessarily exact predictions for any given individual crab. Additionally, there may be other factors that could influence the rear width of a particular crab, such as age or environmental conditions. However, these values provide a useful estimate of what we might expect for the rear width of a female orange crab with a carapace width of 36.4 mm.
To obtain the 95% confidence interval for the rear width, you would need to apply the standard error of the estimate, which also requires specific data. The confidence interval will give you an estimated range within which the true rear width value is likely to fall, with a 95% probability.

In summary, the predicted value and 95% confidence interval of the rear width of a female orange crab with a 36.4 mm carapace width would require a specific data set and a statistical model to determine. Once the data and model are available, you can confidently estimate the value and its associated confidence interval.

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After applying a 15% decrease, the item will cost approximately $52.35.

To calculate the new price after the 15% decrease, we need to find 85% (100% - 15%) of the original price.

The original price of the item is $61.59. To find 85% of this value, we multiply it by 0.85 (85% expressed as a decimal): $61.59 * 0.85 = $52.35.

Therefore, after the 15% decrease, the item will cost approximately $52.35.

Note that the final price is rounded to the nearest penny (hundredth place) as specified in the question.

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Deone's length was 19.5 inches at birth. Assuming his development proceeds normally, his length should be about 29.5 inches by his first birthday.

We know that According to the Centers for Disease Control and Prevention (CDC), the average length for a boy at birth is around 20 inches, and the average length for a boy at one year of age is around 30 inches.

To estimate Deone's length at one year of age, we use the average growth rate between birth and one year, which is approximately 10 inches.

So , we add 10 inches to Deone's length at birth of 19.5 inches to estimate his length at one year of age:

⇒ Estimated length at 1 year = 19.5 inches + 10 inches = 29.5 inches

Therefore, Deone's length should be about 29.5 inches by his first birthday, assuming that his development proceeds normally.

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Answer:

\( \pink{ - 1 \frac{7}{9} }\)

Step-by-step explanation:

\(( \frac{2}{5} \div \frac{3}{8} ) \div ( - \frac{3}{5} ) \\ (\frac{2}{5} \times \frac{8}{3} ) \times ( - \frac{5}{3} ) \\ \frac{16}{15} \times - \frac{5}{3} \\ - \frac{80}{45} \)

As the answer can be more simplified, divide both numerator and denominator by 5.

\( - \frac{16}{9} = - 1 \frac{7}{9} \)

\(\cfrac{89.40~~ - ~~\stackrel{ \textit{minus the tax of each} }{0.50-0.50-0.50-0.50-0.50-0.50}}{6}\implies \cfrac{86.40}{6}\implies \stackrel{ each }{14.40}\)

Answer:

Isaac earned $117.99 this week

Step-by-step explanation:

Percentages

The N% of a quantity M is calculated as follows:

N * M / 100

Isaac earns a 9% commission for his sales.

This week he sold $1,311, thus his commission is:

9 * 1,311 / 100 = 117.99

Isaac earned $117.99 this week

Answer:

3 inches

Step-by-step explanation:

It is 3 inches as seen in the square boxes within the big square

Mrs. Richardson makes a profit of $21.33 from each flower arrangement for the wedding.

To calculate the profit, we subtract the cost from the selling price. Mrs. Richardson's cost for arranging the bouquet is $13.67, and she charges the bride $35 for the arrangement.

Profit = Selling Price - Cost

Profit = $35 - $13.67

Profit = $21.33

Therefore, Mrs. Richardson makes a profit of $21.33 from each flower arrangement for the wedding.

In this scenario, the profit is calculated by subtracting the cost of arranging the bouquet from the selling price. The cost incurred by Mrs. Richardson is $13.67, which includes the expenses for materials, labor, and any other associated costs. On the other hand, the selling price is $35, which is what the bride pays for the arrangement.

By subtracting the cost from the selling price, we find that the profit per arrangement is $21.33. This means that Mrs. Richardson earns $21.33 for each bouquet she arranges for a wedding, after covering her costs.

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Because domain restrictions apply to this rational expression, x cannot be equal to {-2, 2}.

Domain restrictions are any points in the domain where the function will not have a value. This basically means that there is a point in the function where x will not work.

For the numerator, any value of x will suffice. We can have a value of 0 in the numerator, or a positive, negative, or decimal number.

However, the denominator cannot be equal to zero. This is due to the fact that a fraction bar represents division, and we cannot divide by zero.

Here,

x²-4=0

Add 4 to both sides:

x²-4+4 = 0+4

x² = 4

Take the square root of both sides:

√x² = √4

x = 2 or x = -2

The x cannot be equal to {-2, 2} as domain restrictions apply to this rational expression.

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Answer:

I think it's 6 or 0.6

Answer:

A = -9y(7y-3)

Step-by-step explanation:

hope this helps!!!

The square that must be cut from each corner of the cardboard to form a box with a volume of 189 cubic inches is 3 inches on each.

Four equal sides and four right angles make up the two-dimensional shape known as the square. It is one of the most prevalent geometric shapes. There are a variety of useful applications for squares, including constructing tiling, patterns, and grids.

Given:

Length = 15 - 2x

Width = 13 - 2x

So, volume = lwh

189 = (15- 2x) (13 -2x) x

189 = (195 - 30x - 26x + 4x²)x

195x -56x² + 4x³ = 189

4x³ - 56x² + 195x - 189 = 0

On solving the cubic equation we get

x= 1.69, 3 and 9.3

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Answer:

The last table with x and y values:

x       y

40    60

160   15

200   0

is the correct table

Step-by-step explanation:

Notice that the x-value 40 appears in all four tables, so let's use it according to the piece-wise function definition to decide which table can be the true one.

Notice that from the function's description, when x = 40 the function that should be used is (its domain includes 40 according to: \(40\leq x\leq 200\) ) : \(f(x)=-\frac{3}{8} x+75\),

which therefore gives : \(f(40)=-\frac{3}{8} (40)+75= -15+75=60\)

therefore, we know that the only table that shows a y-value of 60 associated with x=40 is the last table. We should check that the other two pairs are also correct before deciding for it:

Is f(160) = 15 , and is f(200) = 0 according to the function's definition?

Let;s calculate f(160) (for which we need to use again the second function given which is valid for x values such that: \(40\leq x\leq 200\)

\(f(160)=-\frac{3}{8} (160)+75= -60+75=15\)

so, this pair is also correct.

Now the last check (for x = 200):

\(f(200)=-\frac{3}{8} (200)+75= -75+75=0\)

which also checks with the values in the given table.

The true proportion of the side lengths of the quadrilaterals is A'B'/AB

From the question, we have the following parameters that can be used in our computation:

Quadrilaterals ABCD and A'B'C'D

These quadrilaterals are similar

So, it means that the corresponding side lengths are proportional

So. we have

Side length = AB

Corresponding side length = A'B'

The true proportion is then represented as

k = Corresponding side length/Side length

Substitute the known values in the above equation, so, we have the following representation

k = A'B'/AB

Hence, the proportion is A'B'/AB

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if their corresponding angles are congruent and the corresponding sides are in proportion ...so it will be similar triangle

Answer:

I  think that would be 1/5

Explanation:

Hope this helps!

Answer:

The expression uses multiplication and subtraction.

Multiplication and subtraction used in the expression 2x – 4

An expression is combination of variables, numbers and operators.

We need to find which operations are used in expression

2x-4

An operation is a mathematical action. Addition, subtraction, multiplication, division, and calculating the root are all examples of a mathematical operation.

Two times of x minus four.

Two times of x means we are taking product of 2 and x. Multiplication is used

2x-4 means we are subtracting four from 2x. Subtraction is used in the expression.

Hence Multiplication and subtraction used in the expression 2x – 4

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Answer:

9.30 × 10⁰ bro that was so easy

Part a: The volume of such base would appear to be larger than it was if the bubble was already let go before the titration's equivalence point.

Part b: There would be no impact if the bubble had already been let go after the equivalent point.

For the stated condition-

An air bubble was present in the buret tip as the student started his part II titration. Unnoticed bubble release occurred at some point in the titration.

The inaccuracy in his titration findings that the bubble would've have made if:

Part a: If the bubble had burst before the titration's equivalence point, the base's volume would have appeared larger than it originally was, having the base seem stronger than it is, and changing calculations.

Part b: There would be no impact if the bubble had already been let go after the equivalent point.

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To finf this, we simply divide 25.5 by 51, and then multiply the result by 100.

This is done as follows:

Therefore 25.5 is 50% of 51