Use the parallelogram pictured below. Write absolute value statements for the length of the base and height of the parallelogram. Then, determine the
area of the parallelogram.
(5-3)
Base=
Height =
(3, 2)
Area =
YA
6-
24
-6-
(3, 2)
(1.-3)
square units
units
units
C
F
E
€
Navt b
Max0E

Answer:

Step-by-step explanation:

\(\frac{3x^3}{12x^{-2}} = \frac{x^5}{4}\)

Tyna's mistake was that , she miswrote x^-2 as x^2

\(7(-3)\)

Before we find the answer, you must know these rules:

\((-)\times(-)=+\\(+)\times(-)=-\\(+)\times(+)=+\)

The number \(7\)(positive) is being multiplied by \(-3\)(negative) so we know that our answer will be \((-)\).

Multiply:

\(7\times-3\)

\(\fbox{=-21}\)

Hope this helps!

The woman would need to invest approximately $615,315.32 in a life income annuity earning 4% APR to receive $3500 per month in income for an expected lifetime of 237 more months.

To calculate the amount the woman would need to invest in a life income annuity to receive $3500 per month in income for an expected lifetime of 237 more months, we need to consider the interest rate and the time period.

Given:

- Monthly income needed: $3500

- Expected lifetime in months: 237

- Annual Percentage Rate (APR): 4%

First, we need to convert the monthly income to an annual income by multiplying it by 12:

Annual income needed = $3500 * 12 = $42,000

To calculate the amount required to invest in the annuity, we need to use the present value formula for an annuity. The formula is:

Present Value = Annual income needed * (1 - (1 + r)^(-n)) / r

Where:

- r is the monthly interest rate (APR divided by 12)

- n is the total number of months (expected lifetime)

Now, let's plug in the values into the formula and calculate the present value:

r = 4% / 12 = 0.04 / 12 = 0.00333 (rounded to 5 decimal places)

n = 237

Present Value = $42,000 * (1 - (1 + 0.00333)^(-237)) / 0.00333

Using a calculator, we can evaluate the expression within the parentheses first:

(1 + 0.00333)^(-237) ≈ 0.5113

Substituting this value back into the formula:

Present Value = $42,000 * (1 - 0.5113) / 0.00333

Simplifying further:

Present Value ≈ $42,000 * 0.4887 / 0.00333

Using a calculator, we find:

Present Value ≈ $615,315.32

Therefore, the woman would need to invest approximately $615,315.32 in a life income annuity earning 4% APR to receive $3500 per month in income for an expected lifetime of 237 more months.

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Answer:

j = 6

Step-by-step explanation:

1. What one needs to know

-Slope-intercept form

The formula of a line in slope-intercept form is;

y = mx + b

Where "m" is the slope. and "b" is the y-intercept.

2. Approach

The slope of the line is given. One has to solve for the y-intercept. Since a point on the line is given, one simply has to substitute in the point on the line and solve for b. The one substitutes in the other point with the unknown in it. One will then solve to find the unknown.

3. Finding "b"

It is given that this line has a slope of \(\frac{1}{5}\), therefore, the equation of the line with the slope would look something like this;

y = \(\frac{1}{5}\)x  + b

It is given that (-4, -8) is on the line, substitute this point in;

-8 = \(\frac{1}{5}\)(-4) + b

Solve;

-8 = \(\frac{1}{5}\)(-4) + b

-8 = - 0.8 + b

-7.2 = b

The complete formula of this line is;

y = 0.2(x) - 7.2

( in decimals )

4. Solve of "j"

Point (j, -6) is on this line, substitute it into the formula

y = 0.2(x) - 7.2

-6 = 0.2(j) - 7.2

Inverse operations;

-6 = 0.2(j) - 7.2

+7.2          +7.2

1.2 = 0.2(j)

/0.2   /0.2

6 = j

Given:

The line passes through point (7,-3) and perpendicular to line 2x-5y-8=0.

Explanation:

Simplify the equation 2x-5y-8=0 in slope intercept form.

So slope of line is 2/5.

Determine the slope of perpendicular line.

The equation of line with slope m = -5/2 is,

Substitute 7 for x and -3 for y in the equation y = -5/2x + c to determine the value of c.

The value of c is 29/2.

The equation of line is,

So answer is 2y + 5x -29 = 0

The surface area and volume of a pentagonal prism is  5/2 × a² × √(5 + 2√5) + 5ab and (1/4) × (5 + 2√5) × a² × h respectively. We can find the solution in the following manner.

A pentagonal prism is a three-dimensional geometric shape that consists of two parallel pentagons as the top and bottom faces, and five rectangular faces connecting them.

To find the surface area and volume of a pentagonal prism, we need to know its height, the length of the sides of the pentagon, and the length of the rectangular faces.

Let's denote the height of the pentagonal prism as "h", the side length of the pentagon as "a", and the length of the rectangular face as "b".

Surface Area of a Pentagonal Prism:

The surface area of a pentagonal prism is the sum of the areas of its faces. There are two pentagonal faces and five rectangular faces in a pentagonal prism.

Area of each pentagonal face = 5/4 × a² × √(5 + 2√5)

Area of each rectangular face = a × b

Total surface area = 2 × Area of pentagonal face + 5 × Area of rectangular face

= 5/2 × a² × √(5 + 2√5) + 5ab

Volume of a Pentagonal Prism:

The volume of a pentagonal prism is given by the formula:

Volume = (1/4) × (5 + 2√5) × a² × h

Therefore, the surface area and volume of a pentagonal prism can be calculated using the above formulas, given the values of a, b, and h.

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The surface area and volume of a pentagonal prism is sum of the areas of its faces, and (1/4) × (5 + 2√5) × a² × h.

A pentagonal prism is a three-dimensional geometric shape that consists of two parallel pentagons as the top and bottom faces, and five rectangular faces connecting them.

Surface Area of a Pentagonal Prism:

The surface area of a pentagonal prism is the sum of the areas of its faces. There are two pentagonal faces and five rectangular faces in a pentagonal prism.

Total surface area = 2 × Area of pentagonal face + 5 × Area of rectangular face

Volume of a Pentagonal Prism:

The volume of a pentagonal prism is given by the formula:

Volume = (1/4) × (5 + 2√5) × a² × h

Therefore, the surface area and volume of a pentagonal prism can be calculated using the above formulas, given the values of a, b, and h.

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Answer:9

Step-by-step explanation: if ismail is 15 years old and fawzia is 6 years younger we would then take 15-6 to get 9 therefore fawzia is 9 years old. And the equation is 15-6=9

Answer: 15,600 different choices for initials

Step-by-step explanation:

26 choices for the first, 25 for the second, and 24 for the third. When multipled, this is 15600.

The claim about the properties of abcdabcda, b, c, d, and a'b'c'd'a' b' c' d' a is false.

The claim states that abcdabcda, b, c, d, and a'b'c'd'a' b' c' d' a are prime. However, this claim is not true. The term "prime" refers to a number that is divisible only by 1 and itself, with no other divisors. In the given context, abcdabcda, b, c, d, and a'b'c'd'a' b' c' d' a are not numbers but rather variables or symbols representing unknown values. As such, they cannot be classified as prime or non-prime.

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Answer:

See below ~

Step-by-step explanation:

Converting a decimal to a fraction :

A. (0.47)

B. (-0.47)

C. (0.--47)

Answer:

Part (a) = 47/100, Part (b) = -47/100, Part (c) = 47/100

Step-by-step explanation:

Step 1:  Determine 0.47 as a fraction

0.47 can also be expressed as 47% which means that there is 47/100.  We can see that there is no way that we can simplify the fraction even more so that is our final answer.

Step 2:  Determine -0.47 as a fraction

0.47 can also be expressed as -47/100.  We can see that there is no way that we can simplify the fraction even more so that is our final answer.

Step 3:  Determine --0.47 as a fraction

Two negatives (-), means that they cancel out and cause a positive (+).  For example, -1 * -1 gives us 1.  Therefore it would just be like the first one which is 47/100.

Answer: Part (a) = 47/100, Part (b) = -47/100, Part (c) = 47/100

There is no solution to the system. This means that the equation 2 = -2 in the system is inconsistent.

What is a system of equations?

A system of equations is a collection of two or more equations that are solved simultaneously. Each equation in the system represents a constraint or condition that must be satisfied, and a solution to the system is a set of values that satisfies all of the equations in the system simultaneously.

If you attempt to solve a system of equations and you get a statement like 2 = -2, it means that the equations in the system are inconsistent. An inconsistent system of equations has no solution because there is no set of values that can simultaneously satisfy all of the equations.

Hence, as these equations are contradictory, there is no solution to the system. This means that the equations in the system are inconsistent.

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The ratio 6:14 represents the number of cases of black ink to the number of cases of blue ink. This means that for every 6 cases of black ink, there are 14 cases of blue ink. The ratio does not give any information about the total number of cases of ink, only the relative proportions of black ink to blue ink.

The ratio 6:14 represents the number of cases of black ink to the number of cases of blue ink that are being sold at the art supply store. This means that for every 6 cases of black ink that are sold, there are 14 cases of blue ink sold. The ratio does not give any information about the total number of cases of ink that are being sold, only the relative proportions of black ink to blue ink.

For example, if the art supply store is selling a total of 20 cases of ink, the ratio of 6:14 could represent 6 cases of black ink and 14 cases of blue ink, or 12 cases of black ink and 28 cases of blue ink. In both cases, the ratio of black ink to blue ink would be the same, but the total number of cases of ink being sold would be different.

Understanding ratios like 6:14 can be useful for comparing the relative proportions of different quantities, such as the sales of different products or the proportions of different ingredients in a recipe.

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Answer:

26780

Step-by-step explanation:

First, let us find how much did the corporation earn in one day.

$2.5x104=260

Now that we have found the amount of money the corporation earned in a day, it is time to find how many days did the streak continue.

1x103=103

Finally, let us find how much they earned during that period.

260x103

Total profit of corporation during a time period of 103 days is $ 26780

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Profit earned by Corporation in a day = $ 2.5 x 104

                                                              = $ 260

Total time period of Corporations' profit = 1 x 103 days

                                                                   = 103 days

Total profit during a time period of 103 days =
Profit earned by Corporation in a day x 103 days

Total profit during a time period of 103 days = 260 x 103

                                                                          = $ 26780

Hence , total profit of corporation is $ 26780

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Answer:

Explanation:

Given the line:

3x - 2y = 1

The price per T-shirt should be at least $15 to achieve a profit of $250.

To calculate the price per T-shirt that will yield a profit of at least $250, we need to consider the cost of production, the desired profit, and the number of shirts to be sold.

Given that the cost to make each T-shirt is $10, and we want to sell 50 shirts, the total cost of production would be 10 * 50 = $500.

Now, let's calculate the minimum revenue needed to achieve a profit of $250. We add the desired profit to the total cost of production: $500 + $250 = $750.

Finally, to determine the price per T-shirt, we divide the total revenue by the number of shirts: $750 ÷ 50 = $15.

Therefore, to make a profit of at least $250, the price per T-shirt should be set at $15.

By selling each T-shirt for $15, the total revenue would be $15 * 50 = $750. From this revenue, we subtract the total production cost of $500 to calculate the profit, which amounts to $750 - $500 = $250. Thus, by charging $15 per T-shirt, the desired profit of $250 is achieved.

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Answer:

I think no solution

Step-by-step explanation:

Answer:

it doesn't have any solutions so 0

The frequency of a class is the number of data points that fall within the class is 1.

To determine the frequency of each class in the table shown, we must first divide the data points into the respective classes. The classes are 1003, 1062, 1063, 1122, 1123, 1182, 1183, 1242, 1243, 1302, 1303, and 1362.

For the class 1003, the frequency is 1, since there is only one data point (1003) in this class.

For the class 1062, the frequency is also 1 since there is only one data point (1062) in this class.

For the class 1063, the frequency is also 1 since there is only one data point (1063) in this class.

For the class 1122, the frequency is 1 since there is only one data point (1122) in this class.

For the class 1123, the frequency is 1 since there is only one data point (1123) in this class.

For the class 1182, the frequency is 1 since there is only one data point (1182) in this class.

For the class 1183, the frequency is 1 since there is only one data point (1183) in this class.

For the class 1242, the frequency is 1 since there is only one data point (1242) in this class.

For the class 1243, the frequency is 1 since there is only one data point (1243) in this class.

For the class 1302, the frequency is 1 since there is only one data point (1302) in this class.

For the class 1303, the frequency is 1 since there is only one data point (1303) in this class.

For the class 1362, the frequency is 1 since there is only one data point (1362) in this class.

Therefore, the frequency of each class in the table shown is 1.

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This is how it is solved :

13(y+3)=13y+39

Step 1: Simplify both sides of the equation.

13(y+3)=13y+39

(13)(y)+(13)(3)=13y+39(Distribute)

13y+39=13y+39

Step 2: Subtract 13y from both sides.

13y+39−13y=13y+39−13y

39=39

Step 3: Subtract 39 from both sides.

39−39=39−39

0 = 0

Hence we say that 13(y+3)=13y+39 will have infinitely many solutions .

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{14x - y}}}}}\)

Step-by-step explanation:

\( \sf{3(2x - y) + 2(4x + y)}\)

Distribute 3 through the parentheses

Similarly , distribute 2 through the parentheses

\( \dashrightarrow{ \sf{6x - 3y + 8x + 2y}}\)

Combine like terms and simplify

\( \dashrightarrow{ \sf{6x + 8x - 3y + 2y}}\)

\( \dashrightarrow{ \boxed{ \sf{14x - y}}}\)

Hope I helped!

Best regards! :D

Answer:

240 m^3

Step-by-step explanation:

It's a cuboid with a volume=l*b*h, where l, b, h are the dimensions of the shape.

Volume=5*12*4=240 m^3

Answer:

V =240 m^3

Step-by-step explanation:

The volume is given by

V = l*w*h  where l is length w is width and h is height

V = 12*4*5

V =240 m^3

This person owns 50% of the money required for property B. But we cannot calculate a percentage without knowing the actual value of property B or how much money the person has.

The question asks what percentage of the money needed for Device B the person has. Without more information on the actual cost of Device B or how much money the person has, we cannot determine an exact percentage.

However, we can use a formula to calculate the percentage of money that the person has for Device B, given the cost of Device B and the amount of money the person has. The formula is:

Percentage = (Money for Device B ÷ Cost of Device B) x 100%

For example, if Device B costs $100 and the person has $50, the percentage of money the person has for Device B would be:

Percentage = ($50 ÷ $100) x 100% = 50%

Therefore, the person has 50% of the money needed for Device B. However, without knowing the actual cost of Device B or how much money the person has, we cannot calculate a specific percentage.

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Answer:

7

Step-by-step explanation:

(a) The real discrete Fourier transform (DFT) is calculated for the given data set to analyze the helicopter's acoustic signature.

(b) To obtain the ck values and illustrate the relative size of each term in the Fourier series, we calculate the magnitude of each coefficient and plot their amplitudes on a bar graph against the corresponding frequency component, k.

To analyze the helicopter's acoustic signature, the real DFT is computed for the provided data set. The DFT transforms the time-domain measurements of acoustic pressure into the frequency domain, revealing the different frequencies present and their corresponding amplitudes. This analysis helps in understanding the spectral characteristics of the helicopter's acoustic signature and identifying prominent frequency components.

Using the Fourier series representation, the amplitudes (ck's) of the different frequency components in the Fourier series are determined. These amplitudes represent the relative sizes of each term in the series, indicating the contribution of each frequency component to the overall acoustic signature. By plotting the amplitudes on a bar graph, the relative strengths of different frequency components become visually apparent, enabling a clear comparison of their importance in characterizing the helicopter's acoustic signature.

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Answer:

860

Step-by-step explanation:

Just add 840 and 20 together   lol

The speed of the planes are:

Two planes fly towards each other, and they are 1780 miles apart. If they pass each other in 2 hours, and their speeds differ by 40mph, we must find out the speed of each.

For the speed of each plane, we can use the formula:

D = R × T

Where, D = Distance, R = rate and T= time

Here, D = 1780 miles

T = 2 hours

Let's assume that the speed of one plane is 'x' mph. Then the speed of the second plane would be 'x + 40' mph.

Both planes are flying toward each other, so we must add up their speeds to find the combined speed of both planes.

Rate or Speed of Plane 1 = x mph

Rate or Speed of Plane 2 = x + 40 mph

Combined Speed = (x + x + 40) mph ⇒ (2x + 40) mph

According to the question, the two planes covered a distance of 1780 miles. We can write it down as:

2x + 40 = 1780

2x = 1780 - 40

2x = 1740

x = 870

The speed of one plane is 870 mph.

Therefore, the speed of the second plane would be:

x + 40 = 870 + 40 = 910 mph

Hence, the speed of each plane is 870 mph and 910 mph, respectively.

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Steps to solve:

7x - 6 = 5x + 18

~Add 6 to both sides

7x = 5x + 24

~Subtract 5x to both sides

2x = 24

~Divide 2 to both sides

x = 12

Best of Luck!