If AC = 18 and CD = 4, then AD = [ ? ]

The transformations that change the domain of a function are given as follows:

The domain of a function is defined as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.

Hence we must look at transformations that change the values of x of the function, which are given as follows:

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Answer:

$374,080.00

Step-by-step explanation:

You want to calculate the interest on $40000 at 5.8% interest per month after 12 year(s).

The formula we'll use for this is the simple interest formula, or:

\(I=P*R*T\)

Where:

P is the principal amount, $40000.00.

r is the interest rate, 5.8% per month, or in decimal form, 5.8/100=0.058.

t is the time involved, 12....year(s) time periods.

Since your interest rate is "per month" and you gave your time interval in "year(s)" we need to convert your time interval into "month" as well.

Do this by multiplying your time, 12 year(s), by 12, since there's 12 months in 1 year.

So, t is 144....month time periods.

To find the simple interest, we multiply 40000 × 0.058 × 144 to get that:

The interest is: $334080.00

Usually now, the interest is added onto the principal to figure some new amount after 12 year(s),

or 40000.00 + 334080.00 = 374080.00. For example:

If you borrowed the $40000.00, you would now owe $374080.00

If you loaned someone $40000.00, you would now be due $374080.00

If owned something, like a $40000.00 bond, it would be worth $374080.00 now.

Answer:

1.2

Step-by-step explanation:

First, you cancel out \(\frac{6}{20}\) to become \(\frac{3}{10}\)

Then that becomes \(-\frac{3}{10}+1.5\)

Now, you convert the element to a decimal form to be \(-0.3+1.5\)

Finally, you subtract them (because a negative plus a positive is subtraction) to get the final answer of 1.2

Hope this helps!

Answer:

Set your calculator to Degree mode.

a² = 17² + 20² - 2(20)(17)cos(89°)

a² = 677.13236

a = 26.0 in.

sin(89°)/26.02177 = (sin B)/17

sin B = 17sin(89°)/26.02177

B = 40.8°

C = 50.2°

The solution of the given inequality is y ≤ -3.

The given inequality is -

3y ≤ −9

We have to solve this given inequality.

Now, we have the inequality as -

3y ≤ −9

=> y ≤ -3

Thus, the solution of the given inequality is y ≤ -3.

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Answer:

1.E

2.H

3.F

4.D

5.A

6.G

7.B

8.C

Step-by-step explanation:

The blanks that are missing in the sequence are -3 and 11

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

The blanks in the sequence

When listed out, we have

_, _, 25, 39

Assuming that the sequence, is an arithmetic sequence, then we have

Common difference = 39 - 25

Common difference = 14

This means that

Previous term = 25 - 14 = 11

Firs term = 11 - 14 = -3

So, the missing terms are -3 and 11

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The correct answer is Graph 1: y = cos(x/4)Graph 2: y = cos(x/2)

Based on the given descriptions of the graphs and the patterns they follow, the correct pairs are:

Graph 1: y = cos(x/4) ⟶ This graph has a period of 8 units and matches the pattern described.Graph 2: y = cos(x/2) ⟶ This graph has a period of 4 units and matches the pattern described.

Graph 3: y = cos(x) ⟶ This graph has a period of 2π (or approximately 6.28 units) and matches the pattern described.

Graph 4: (Not used)

Graph 5: (Not used)

Please note that without visual representation, it's difficult to provide a definitive answer. The pairs are based on the descriptions provided and may vary depending on the actual shapes of the graphs.

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Answer:

24691861.

Step-by-step explanation:

:)

Hello!

surface area

= 2(4 x 2) + 2(12 x 4) + 2(12 x 2)

= 160cm²

Answer:

I think its 10 but I'm not certain

Answer:

B. 2.85

Step-by-step explanation:

to find the average of multiple numbers, we add them together and divide by the number of values we combined

for example: the average of 1, 2, and 3:

1 + 2 + 3 = 6

6 / 3 (because there were 3 numbers) = 2

so, this average would be 2.

Let's add the weights (I have changed these into a denominator of 20, so that they can be easily added. Let me know if you need clarification on how I did so)

1 1/2 pounds, 4 3/4 pounds, 2 3/10pounds

1 1/2 = 1  10/20

4 3/4 = 4  15/20

2  3/10 =  2   6/20

1 10/20 + 4 15/20 + 2 6/20 = 7  31/20

7 31/20 = 8 11/20

8 11/20 = 8.55

8.55 / 3 = 2.85

so, the average weight of these packages is 2.85 [pounds]

hope this helps! ^u^

The volume of the two cylinders is 2424. The area of the cross-section will be equal if another cross-section is obtained at a different height.

The density of a cylinder is determined by its volume, which represents how much material may be immersed in it or carried inside of it.

The formula for the volume of a cylinder is given as:

V=π r² h

Now from the figure,

We have, for the first cylinder the height is 16 units and the radius is 7 units.

Hence,

V = 22/7 × 7² × 16

V = 22/7 × 7 × 7 × 16

V = 2424

Therefore the volume of the two cylinders is 2424. The area of the cross-section will be equal if another cross-section is obtained at a different height.

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The missing algebra property justification for the equation solution is; Multiplicative Inverse

We are given the equation;

2x - 7 = 15

Step 1; Add 7 to both sides to get; 2x - 7 + 7 = 15 + 7

2x = 22

Reason; Addition property of equality

Step 2; Multiply both sides by 1/2(one half) to get;

(1/2) * 2x = (1/2) * 22

x = 11

Reason; Multiplicative Inverse

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The answer is -5 = x.     Because if x + 8 is 3 you would have to subtract 5 making the answer to X  negative 5 + 8.

Answer:

I would have to say A

Step-by-step explanation:

B has 2 of the same variables while A has to different variables and C&D have no variables there for the answer is A

Answer:

5040

Step-by-step explanation:

7*6*5*4*3*2*1=5040

The correct number of different 7-person committees that can be made is,

⇒ 5,040

A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Given that;

7 students from a class of 10 are going to be chosen to be on the dance committee.

Hence, the number of different 7-person committees that can be made is,

⇒ 7!

⇒ 7 × 6 × 5 × 4 × 3 × 2 × 1

⇒ 5,040

Thus, The correct number of different 7-person committees that can be made is,

⇒ 5,040

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The measure for angle W is 80 degree.

A unrestricted polygon or figure with four sides, four corners, and four angles is called a trapezium. Each brace of a trapezium's opposing sides is resemblant to the other.

Similar to other quadrilaterals, the trapezium's four angles add up to 360°. Two of the sides of a trapezium are parallel, and the other two are not. Regular trapezium diagonals cut each other in half.

Given:

We have angles <X= 100, <Y = 130 and <Z= 66.

As, we know that in Trapezium the sum of adjacent angle is 180.

So, <X + <W = 180

100 + <W =180

<W= 180- 100

<W = 80 degree.

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The measures of the two complementary angles are 44° and 132°.

Given that the difference between the measures of two complementary angles of any given triangle is 88°, it means that one angle is 88° smaller than the other. To find the measures of the two angles, divide the sum of the difference by 2. That is given as, (88°/2) = 44°. One angle is given as  44°, and the other angle is equal to the sum of the two angles in a triangle, which is 180°, minus the first angle, which is 44°, which is equal to 136°.

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The rate of interest is 73%.

What is the annual rate?

The term annual percentage rate of charge refers to the interest rate for an entire year rather than just a monthly fee or rate as applied on a loan, mortgage loan, credit card, etc. It can also be referred to as a nominal APR or an effective APR. It is an annual rate of a finance charge.

Given that 1 dollar to grow to X dollars in 2 years is given by the formula X = (1+r) ².

A dollar to triple in 2 years.

Thus putting X = 3 in X = (1+r) ²

3 = (1+r) ²

Take square root on both sides:

√3 = 1 + r

Subtract 1 from both sides:

r = √3 - 1

r = 0.73

r = 73%

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Answer:

The secant of the angle equals the distance between the ants divided by the distance from the first ant to the wall, So sec 62° = d / 1, where d is the distance between the ants. That's more than the hearing range of 2m, so yes, the friend will be a meal. Step-by-step explanation:

Answer: 2 meters

Step-by-step explanation:

The length of one train car is 80 millimeters. Therefore, the length of the entire train is:

25 cars × 80 mm per car = 2000 mm

To convert millimeters to meters, we need to divide by 1000:

2000 mm ÷ 1000 = 2 meters

Therefore, Venell's model train is 2 meters long.

Answer:

b = √( c² - a² )

Step-by-step explanation:

Equation to find the length of a right angle using pythagorean theoram is,

a ² +  b²  =  c²

According to the question you have find the length of b side.

For that, you have to make b as the subject in this equation.

Let us solve now.

a ² +  b²  =  c²

b²  =  c² - a²

b = √( c² - a² )

Therefore,

3rd Answer is correct.

Hope this helps you :-)

Let me know if you have any other questions :-)

The system of equation representing Lynette's stock market experience is:

f(x) = 25 * ($1.50 + $2x)

g(x) = 25 * ($0.50 - $0.10x)

If f(x) represents the value of the technology stock and g(x) represents the value of the transportation stock after x weeks.

The value of Lynette's technology stock after x weeks is given by:

f(x) = 25 * ($1.50 + $2x)

The value of Lynette's transportation stock after x weeks is given by:

g(x) = 25 * ($0.50 - $0.10x)

Therefore, the system of linear equations that represents Lynette's stock market experience is:

f(x) = 25 * ($1.50 + $2x)

g(x) = 25 * ($0.50 - $0.10x)

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Answer:

I do not know

Step-by-step explanation:

The product of 0.105 and 1000.2000 has three significant digits.

The answer is D. 3.

To determine the number of significant digits in the product of 0.105 and 1000.2000, we need to consider the rules for significant figures in multiplication.

In multiplication, the result should have the same number of significant digits as the measurement with the fewest significant digits. Let's analyze the given numbers:

0.105 has three significant digits (leading zeros are not significant).

1000.2000 has eight significant digits.

When multiplying these numbers, the product is 105.02100. The measurement with the fewest significant digits is 0.105 with three significant digits. Therefore, the product should also have three significant digits to maintain accuracy and precision.

Hence, the answer is D. 3. The product of 0.105 and 1000.2000 has three significant digits. It's important to consider significant figures in calculations to ensure the appropriate level of precision and avoid introducing misleading or inaccurate information.

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Answer:  89 yards

Step-by-step explanation: The perimeter is all the sides added up together. Since the width of the field is 52, the two sides are 52 yards which in total is 104 yards. 282- 104 = 178 yards. The length is 178/2 yards which is 89 yards.

Answer:

75

Step-by-step explanation:

math