The triangles are similar.

What is the value of x?

Answer: The answer is A,B, and E.

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

6(6)=36

(36-8)/4=28/4=7

Answer:

D

Step-by-step explanation:

Because first you need to make the equation negative because X^2 need to be positive (easier to do)

x^2-6x-m

What times to -6 are

(2times-3) (-2 times -3)

(1times -6) and (-1times 6)

neither of these will be above 9 so d is correct

Gerry's beginning basis in the S corporation is $20,545.

To calculate Gerry's beginning basis in the S corporation, we need to consider the cost of the assets transferred and the additional expenses incurred for the conversion.

The cost of the assets transferred is given as $19,570. This represents the original cost of the assets when Gerry acquired them.

The adjusted basis of the assets is stated as $9,600. The adjusted basis takes into account any adjustments made to the original cost, such as depreciation or other deductions.

To calculate the beginning basis in the S corporation, we add the cost of the assets transferred ($19,570) to the adjusted basis ($9,600). This gives us a total of $29,170.

In addition to the assets, Gerry incurred an additional expense of $975 for the conversion to an S corporation. We include this amount in the calculation of the beginning basis.

Therefore, Gerry's beginning basis in the S corporation is $29,170 + $975 = $20,545.

This beginning basis is important for determining Gerry's tax consequences and future deductions within the S corporation structure.

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Answer:

A

Step-by-step explanation:

the standared dies have six sample space

and the coin have two side

heads and tails

Answer:

Exponentail and Continuous

Step-by-step explanation:

Esponentail because the graph is going up by 3 times the pevous making the line curved, and Continuous because time continuses to pass through the  hours. (although if it is only looking at the point on the hour it is descrete).

Answer:I don’t Knowt Try To Answer it yourself

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

The fraction form of 42% is 21/50.

Every fraction's numerator and denominator are split in half by a horizontal bar known as the fractional bar.

The denominator displays the number of pieces into which the whole has been divided. It is situated below the fractional bar in the lower part of the fraction.

The numerator indicates how many portions of the fraction are selected or displayed. It is located at the upper part of the fraction, above the fractional bar.

We have to write 42% into the simplest form fraction.

So, Explicit 42%

42 /100

Now, simplify the fraction by making it in its lowest form

42 /100

2 x 21/ 2x 50 = 21/50

Hence, the fraction is 21/50.

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Answer:

y = -2x - 8

Step-by-step explanation:

The correct statement is the area of the floor design is 67.24 times the area of the sign. Option A is correct.

To determine which statement is true, let's compare the area and perimeter ratios between the floor design and the hallway sign.

Given that each dimension of the floor design is 8.2 times the corresponding dimension of the hallway sign, we can say that the linear scale factor is 8.2.

Area Ratio:

The area of a shape is proportional to the square of the linear scale factor. Therefore, the area ratio between the floor design and the hallway sign would be (8.2)² = 67.24.

Perimeter Ratio:

The perimeter of a shape is directly proportional to the linear scale factor. Therefore, the perimeter ratio between the floor design and the hallway sign would be 8.2.

Based on these calculations the area of the floor design is 67.24 times the area of the sign. Option A is correct.

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Answer:

v = 16

Step-by-step explanation:

p = 8/v and p = 1/2.  Equating these two, we get 8/v = 1/2.

Inverting both sides, we get v/8 = 2.

Find the vaue of v by multiplying both sides by 8:  v = 16

To determine the value(s) of a such that [1 a], [a a+2] are linearly independent, we need to find the values of a that make the determinant of the matrix non-zero. The determinant of a 2x2 matrix is given by:

|1 a|
|a a+2| = (1)(a+2) - (a)(a) = a + 2 - a^2

To make the determinant non-zero, we need to solve the equation:

a + 2 - a^2 ≠ 0

Rearranging the equation, we get:

a^2 - a - 2 ≠ 0

Factoring the equation, we get:

(a - 2)(a + 1) ≠ 0

Therefore, the values of a that make the determinant non-zero are a ≠ 2 and a ≠ -1. These are the values of a that make the vectors [1 a], [a a+2] linearly independent.

So, the value(s) of a such that [1 a], [a a+2] are linearly independent are a ≠ 2 and a ≠ -1.

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Answer:

1)
Number of Seats in next three rows: 37, 41, 45

Number of seats in row 21 = 105

2)

Cost for 4, 5, 6 miles:
Miles            Cost($)
4                    14.50

5                    18.00

6                    21.50

Cost for 12 miles = $42.50

Step-by-step explanation:

1) The arithmetic sequence is
25, 29, 33 ....

Each term is 4 more than the previous term

So the next three terms starting with the 4th term area

33 + 4 = 37
37 + 4 = 41

41 + 4 = 45

In terms of the problem statement these are the number of seats in rows 4, 5, 6 respectively

The general equation for an arithmetic sequence nth term is

a(n) = a(1) + d(n - 1)

Here a(1) is the first term; here a(1) = 25

d = difference between successive terms called the common difference; here common difference = 4

n is of course the number of terms to be considered

using the values we have
a(n) = 25 + 4(n- 1)

= 25 + 4n - 4

= 21 + 4n

So the 21st term is a(21)

a(21) = 21 + 4 (21)

= 21 + 84

= 105

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

2. Another arithmetic sequence

The first term is the charge for the first mile = 4

The second term = 7.5 for 2 miles

The third term = 11.5 for 3 miles

So d = 11 - 7.5 = 7.5 - 4 = 3.5

The cost for 4 miles = 11 + 3.50 = $14.50

The cost for 5 miles = 14.50 + 3.50 = $18

The cost for 6 miles = 18 + 3.50 = $21.50

Using the equation for finding the nth term we get

a(n) = a(1) + d(n - 1)
a(n) = 4 + 3.5(n-1)

a(n) = 4 + 3.5n - 3.5

a(n) = 0.5 + 3.5n

We have the following table

Miles            Cost      ($)

1                     4.00

2                    7.50

3                    11.00

4                    14.50

5                    18.00

6                    21.50

For 12 miles which would correspond to the 12 term

a(12) = 0.5 + 3.5(12)

= 0.5 + 42

= $42.50

The minimum sterilization time required to achieve a 99.9% confidence level in successfully sterilizing 50 L of medium containing 10^6 contaminating organisms is approximately 1.95 minutes.

To calculate the minimum sterilization time required to yield 99.9% confidence of successfully sterilizing 50 L of medium containing 10^6 contaminating organisms, we need to use the concept of decimal reduction time (D-value) and the number of organisms.

The D-value represents the time required to reduce the population of microorganisms by one log or 90%. In this case, the given D-value is 0.65 minutes.

To achieve a 99.9% confidence level, we need to reduce the population of microorganisms by three logs or 99.9%, which corresponds to a 10^-3 reduction.

To calculate the minimum sterilization time, we can use the following formula:

Minimum Sterilization Time = D-value × log10(N0/Nf)

Where:

D-value is the decimal reduction time (0.65 minutes).

N0 is the initial number of organisms (10^6).

Nf is the final number of organisms (10^6 × 10^-3).

Let's calculate it step by step:

Nf = N0 × 10^-3

= 10^6 × 10^-3

= 10^3

Minimum Sterilization Time = D-value × log10(N0/Nf)

= 0.65 minutes × log10(10^6/10^3)

= 0.65 minutes × log10(10^3)

= 0.65 minutes × 3

= 1.95 minutes

Therefore, the minimum sterilization time required to yield 99.9% confidence of successfully sterilizing 50 L of medium containing 10^6 contaminating organisms using this procedure is approximately 1.95 minutes

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Answer:

Step-by-step explanation:

7^2 = 49

49^ x  = 1 only when x =0

Now 7^0 = 1

Then (7^0)^x = 1^x id equal to 1 for any x.

Independent variables are the factors that are manipulated or controlled by the researcher in a study. In the context of investigating the impact of a school nutrition program on grade performance of high school students, the independent variable would be the school nutrition program itself.

The researcher would design and implement the program, and this variable would be under their control.

Dependent variables, on the other hand, are the outcomes or variables that are measured in a study and are expected to change as a result of the independent variable. In this case, the dependent variable would be the grade performance of the students. The researcher would collect data on the grades of the students before and after the implementation of the nutrition program, and this would be the variable that is expected to be influenced by the independent variable.

In summary, the independent variable in this research design is the school nutrition program, while the dependent variable is the grade performance of the students. The researcher would manipulate the independent variable (implement the nutrition program) and then measure the dependent variable (student grades) to determine if there is an impact of the program on grade performance.

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Answer:

12

Step-by-step explanation:

4x+12+10x=180

14x+12=180

14x=168

x=12

Using the backwards pricing method, the labor cost for a garment with an MSRP of $225 would be $27.


The backwards pricing method is used to determine the cost of each element that goes into the production of a product by working backward from the final selling price. The steps involved in this method are:

1. Start with the MSRP: $225
2. Determine the retail markup percentage, which is typically around 50%. Subtract this percentage from the MSRP to find the wholesale price: $225 * (1 - 0.5) = $112.50
3. Determine the wholesale markup percentage, which is typically around 30%. Subtract this percentage from the wholesale price to find the cost of goods sold (COGS): $112.50 * (1 - 0.3) = $78.75
4. Now, we have to distribute the COGS among the various components that go into the production of the garment, such as materials, labor, and overhead. Assuming labor constitutes 35% of the COGS, calculate the labor cost: $78.75 * 0.35 = $27.56, which can be rounded down to $27.


Using the backwards pricing method, the labor cost for a garment with an MSRP of $225 would be approximately $27.

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The volume of the funnel to the nearest cubic centimeter is 38.

The given funnel is in the shape of cone, so volume of cone gives the volume of funnel. The formula of volume of the cone is as follows:

\(V=\frac{1}{3} \pi r^{2} h\)

Where r is the radius and h is the height of the cone and π=3.14.

The funnel is in the shape of cone with height 9 centimeter and diameter 4 centimeter.

Radius of cone  \(=\frac{4}{2} =2 c m\)

Now, putting the value of h, r and π in the formula of volume of cone,

\(V=\frac{1}{3} \pi r^{2} h\\\\V=\frac{1}{3} \times 3.14\times 2^{2}\times 9\\\\V=37.68\)

Approximating to nearest cubic centimeter, we get

\(V\approx38cm^3\)

Hence, the volume of the funnel with diameter 4 centimeter and height 9 centimeter is 38 cubic centimeter.

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Answer:

8

Step-by-step explanation:

7 and 8 are the angles so we need to find the decimal in the problem

Step 1

Use the law that the sum of angles on a straight line is 180° to find y given that x = 42°

Step 2

Using the law

x + y = 180°

After substitution

42 + y = 180

y = 180 - 42

y =138°

The equation in standard form for the circle is (x + 7)² + (y)² = 36.

Given the circle's centre and radius, the equation of a circle offers an algebraic approach to describe a circle. The formulae used to determine a circle's area or circumference are different from the equation for a circle. Many coordinate geometry problems involving circles employ this equation.

We need the equation of the circle in order to represent a circle on the Cartesian plane.

The standard equation of the circle is given by:

(x - h)² + (y - k)² = r²

Where, h and k are the coordinates of the center of the circle and r is the radius.

Substitute the values in the equation we have:

(x + 7)² + (y - 0)² = 6²

(x + 7)² + (y)² = 36

Hence, the equation in standard form for the circle is (x + 7)² + (y)² = 36.

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Answer:

$16,500

Step-by-step explanation:

The computation of the amount that should be paid for the car is shown below:

Since the car would be purchased one year ago

And, the value of the car would be decreased by 15% to $14025

So the amount that should be paid is

= $14025 × 100 ÷ (100 - 0.15)

= $16,500

Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

pls mark me as brainliest pls.

Answer:

Step-by-step explanation:

Add together:  2 2/3 hrs and 2 3/4 hrs:

First determine the LCD of these two fractions.  The LCD here is 3*4 = 12.

Rewrite the given times using this LCD:

2 8/12 + 2 9/12

Adding 2 and 2 results in 4; adding 8/12 and 9/12 results in 17/12, or 1 5/12.

The final result is 4 + 1 5/12, or 5 5/12.

The movie and dinner together lasted 5 5/12 hrs.

If movie and dinner started at 3:00, dinner would have finished at

3:00 + 5:5/12, or

8:25 p.m. (since 5:5/12 is the same as 5:25).

Finished eating at 8:25 p.m.

Answer:

Finished eating at 8:25 and both lasted 5:25 hours in total

Step-by-step explanation: