Reactive Power VARS Apparent Power VA CD True Power W​

Answers

Answer 1

a. Reactive power is the power lost in the inductive or capacitive load in an AC electrical circuit.

b. Apparent power is the power is the total power delivered to an AC electrical circuit

c. True power is the power lost in a resistive load in an AC electrical circuit.

What is power?

Power is the rate at which work is done.

a. What is reactive power VARS?

Reactive power is the power lost in the inductive or capacitive load in an AC electrical circuit. The reactive power is given by

P' = IVsinФ where

I = current in circuit, V = voltage in circuit  and Ф = load angle

b. What is apparent power VA?

Apparent power is the power is the total power delivered to an AC electrical circuit. The apparent power is given by

S = IV where

I = current in circuit, V = voltage in circuit  

c. What is true power W?

True power is the power lost in a resistive load in an AC electrical circuit. The true power is given by

P' = IVcosФ where

I = current in circuit, V = voltage in circuit  and Ф = load angle

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Related Questions

Use de Morgan’s laws to rewrite a statement that is equivalent to the following statement.

It is not true that April and August are both spring months

Answers

Using de Morgan’s laws to rewrite a statement : It is true that April is not a spring month OR August is not a spring month

What is de Morgan’s laws?

This refers to a pair of transformation rules that are both valid rules of inference. They are named after Augustus De Morgan. He was a 19th-century British mathematician. De Morgan's laws can also be called De Morgan's theorem.

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The lengths of the three sides of a triangle are x + 15 , 2x + 15 and x + 12 (where x cannot equal zero). What is the perimeter of the triangle? use the drop-down menu to complete the answer.

Answers

Answer:

4x + 42

Step-by-step explanation:

[tex]\text{Perimeter}=(x+15)+(2x+15)+(x+12)=4x+42[/tex]

Find the perimeter of the triangle whose vertices are the following specified points in the plane.
(-9,-6), (-5, 0) and (10,-7)

Answers

The required perimeter of the triangle with vertices (-9,-6), (-5, 0), and (10,-7) is 42.72 units.

What is Distance?

The distance between two points (x₁, y₁) and (x₂, y₂) in the plane can be found using the distance formula,

d = √((x₂- x₁² + (y₂ - y₁)²)

Here

Using the above formula, we can find the length of each side of the triangle:

Length of the first side:

d = √((-5 - (-9))² + (0 - (-6))²)
   = √(4² + 6²)
   = √52 = 7.2

Similarly, the length of the second and third sides:

d =√274 = 16.5

Length of the third side:

d =  √362 = 19.02

Finally, the perimeter of the triangle is the sum of the lengths of its sides, P = 7.2 + 16.5 + 19.02
P = 42.72 units

So, the perimeter of the triangle is approximately 42.72 units.

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9 Mr Karim had 2740 sacks of rice at first Mr Dani had 3560 sacks of rice at first. Mr Karim gave some sacks of rice to Mr Dani. In the end, Mr Dani had 4 times as many sacks of rice as Mr Karim. How many sacks of rice did Mr Karim have in the end?​

Answers

Answer:

**DUE TOMORROW, NEED ANSWER ASAP**

NASA has asked you to evaluate a number of proposals for telescopes. These proposals include information about where the telescope would be built and what wavelengths it intends to observe at. Based only on these factors, evaluate whether NASA should consider funding each proposal. Justify your recommendations. (Some telescopes may have more than one "correct" answer depending on how you justify it).

a.) An ultraviolet telescope in space

b.) An optical telescope in a remote location in Michigan's upper peninsula

c.) A radio telescope in the Mojave desert in Arizona

d.) An x-ray telescope in the Andes mountains in Chile

e.) An optical telescope in space

Step-by-step explanation:

19. The mass of a radioactive element is 35
milligrams. The mass of the element decreases by
12.9% every year.
a. Write a function that represents this situation.
b. Predict the mass of the element in 4 years. Round
your answer to the nearest tenth.
c. Will the mass of the radioactive element ever be 0
milligrams? Explain.

Answers

a) The function that represents this situation is,

⇒ y = 35 (1 - 12.9%)ⁿ

Where, 'n' is number of years and 'y' is mass of element.

b) For 4 years, the mass of the element is, 19.95 milligrams

c) No, the mass of the radioactive element will never be 0 milligrams.

What is expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now,

The function that represents this situation is,

⇒ y = 35 (1 - 12.9%)ⁿ

Where, 'n' is number of years and 'y' is mass of element.

Now, For 4 years, the mass of the element is,

⇒ y = 35 (1 - 12.9%)ⁿ

⇒ y = 35 (1 - 12.9%)⁴

⇒ y = 35 (1 - 0.129)⁴

⇒ y = 35 (0.87)⁴

⇒ y = 35 × 0.57

⇒ y = 19.95 milligrams

No, the mass of the radioactive element will never be 0 milligrams.

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Need help really please

Answers

Answer:

Step-by-step explanation:

No pressure. You just need to look for the number that when added to the other given number, will give the same as the sum on the other side.

For instance, The top-left question:

4+6 = x+8  (let x be the box)

x= 4+6-8

x=2.

OR, since 4 + 6 =10,

you look for a number when added to 8, that gives 10.

That number is 2.

Hope this helps :]

7x7+24x5(1x+24)=1

SOlve for x

Answers

Answer:

X= -122/5

Explanation:

7*7+120(x+24)=1

49+120x+2880=1

2929+120x=1

120x=1-2929

120x=-2928

X= -2928/120

X= -122/5


Graph the following conditions. Click on the graphic to choose the correct answer. [(x, y): x + y = 5) 4 -3 -2 -1 YA 6 5 4 3 2 + T -2 -3 A 5 19 - K 2 3 4 5 6 X​

Answers

A graph of the equation under this condition {(x, y): x + y = 5)} is shown in the image attached below.

What is an ordered pair?

In Mathematics, an ordered pair simply refers to a pair of two (2) elements or data points that are commonly written in a fixed order within parentheses as (x, y), which represents the x-coordinate (abscissa) and the y-coordinate (ordinate) on the coordinate plane of any graph.

Next, we would determine the ordered pairs that satisfies the given linear function in standard form.

When the value of x = 1, the output value of this linear function is given by;

y = 5 - x

y = 5 - 1

y = 4 ⇒ (1, 4)

When the value of x = 0, the output value of this linear function is given by;

y = 5 - x

y = 5 - 0

y = 5 ⇒ (0, 5).

When the value of x = 2, the output value of this linear function is given by;

y = 5 - x

y = 5 - 2

y = 0 ⇒ (2, 3).

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Trigonometry question

Answers

The value of sin(tetha/2) is ±√½(1-8/√113)

What are half angles?

In trigonometry, the half-angle formula is used to determine the exact values of the trigonometric ratios of angles such as 15° (half of the standard angle 30°), 22.5° (half of the standard angle 45°), and so on. If θ is an angle, then the half angle is represented by θ/2.

if tan(tetha) = 7/8

this means that 7 is the opposite and 8 is the adjacent

hyp² = opp² +adj²

hyp² = 49+64

hyp = √113

sin(tetha/2) = ±√1-cos(tetha))/2

= ±√1-(8/√113))/2

therefore the value is sin(tetha)/2

= ±√1-(8/√113))/2 or ±√½(1-8/√113)

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All numbers less than 17 and greater than or equal to -8. into SET BUILDER NOTATION!!

Answers

In set builder notation, the set of all numbers larger than or equal to -8 and less than 17 can be written as:

{x | -8 <= x < 17}

An explanation of set builder notation?

A set of items can be mathematically expressed using the set builder notation. The set builder notation's syntax is {x | },  where x stands for one of the set's elements and the condition outlines the requirements that an element must meet in order to be included in the set.

In this instance, the set consists of all numbers higher than or equal to -8 and less than 17 in total. The set must satisfy the constraint

-8 <= x < 17,where x is a real value. This implies that x must exceed or equal to -8 and must be less than 17 to be a part of the set.

As a result, in set builder notation, the set of all numbers greater than or equal to -8 and less than 17 can be written as follows:  {x | -8 <= x < 17}

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Selma wants to take her money out of the bank account with simple interest rate of 5% annually and put it in another account with compound interest rate of 8% compounded quarterly if the bank says closing the current account has a penalty of 5% at least how many years she let the money stay at the new account in order to recover the penalty paid using extra interest of the second?

Answers

Selma needs to leave the money in the new account for at least one year, option A. 1 to recover the penalty paid.

How did we get this assertion?

Assuming Selma wants to recover the penalty paid using the extra interest earned in the new account, she needs to calculate the amount of time it will take for the new account's interest to make up for the penalty paid.

Let P be the initial amount of money in Selma's current account. The penalty for closing the account is 5% of P, which is 0.05P.

If Selma leaves the money in the current account for one year, she will earn simple interest of 5% of P, which is 0.05P. So at the end of the year, the balance in the current account will be P + 0.05P = 1.05P.

If Selma transfers the money to the new account, it will earn compound interest of 8% per year, compounded quarterly. The quarterly interest rate is 8%/4 = 2%.

After one quarter, the balance in the new account will be:

P*(1 + 2%/4) = P*1.02

After two quarters, the balance will be:

P1.02(1 + 2%/4) = P*1.02^2

After three quarters, the balance will be:

P1.02^2(1 + 2%/4) = P*1.02^3

After four quarters (i.e., one year), the balance will be:

P1.02^3(1 + 2%/4) = P*1.02^4

So at the end of one year, Selma will have 1.05P in the current account and P*1.02^4 in the new account.

To recover the penalty of 0.05P, Selma needs the balance in the new account to be at least 1.05P. That is,

P*1.02^4 >= 1.05P

Simplifying, we get:

1.02^4 >= 1.05

Taking the fourth root of both sides, we get:

1.02 >= 1.05^(1/4)

Using a calculator, we get:

1.02 >= 1.01298

So Selma needs to leave the money in the new account for at least one year to recover the penalty paid.

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Evaluate the limit limx approches 0 x square+ x over x

Answers

Step-by-step explanation:

If we use direct substitution, we will get

[tex] \frac{0}{0} [/tex]

Which is intermediate from so we must use.algebraic manipulation

Let's divide everything by x

We would get

[tex] \frac{x + 1}{1} [/tex]

So the limit as x approaches 0 is

[tex]1[/tex]

Proof using a graph:

As x gets close and closer to 0, f(x) approaches 1. Limits does not care about discontinuity, only what the function gets closer to.

Solve 7.59 divided by 7 with no remainders

Answers

7.59 divided by 7 results in 1.084 with a remainder of 0.59. Since there can be no remainders, the answer to 7.59 divided by 7 with no remainders is not a whole number.

f(1) = 25
f(n) = f(n-1)(-1/5)

f(3) = ??

Answers

Answer: = 1 (look at the image for the solution)

Step-by-step explanation:

A random sample of 40 hotel reviews is drawn from a large population of hotel customers. It's known that 30% of the population left the hotel 1 star, 20% left 2 stars, 20% left 3 stars, and 30% left 4 stars. Give the standard deviation of the hotel's star rating.The choices are:0.18910.18930.19040.1934

Answers

The closest answer choice is 0.76, which corresponds to 0.1934. So the answer is 0.1934.

We can calculate the variance of the hotel's star rating by using the formula:

variance = sum[(xi - mean)^2 * pi]

where xi is the rating (1, 2, 3, or 4), mean is the expected value of the rating, and pi is the proportion of the population that left that rating. Since we know the proportions of the population that left each rating, we can calculate the expected value of the rating as:

mean = 1(0.3) + 2(0.2) + 3(0.2) + 4(0.3) = 2.9

Then, we can calculate the variance as:

variance = (1 - 2.9)^2 * 0.3 + (2 - 2.9)^2 * 0.2 + (3 - 2.9)^2 * 0.2 + (4 - 2.9)^2 * 0.3

variance ≈ 0.57

Finally, the standard deviation is the square root of the variance:

standard deviation = sqrt(0.57) ≈ 0.756

Therefore, the closest answer choice is 0.76, which corresponds to 0.1934.

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9. In a cranberry punch recipe, four cups of cranberry juice and one quart of pineapple juice make up half of the punch. How many cups of punch does the recipe make?

Answers

On solving the provided question, we can say that by fraction, 4/3 (orange Juice) + 3/4 apple juice + 2/3 cranberry juice + 3/4 lemon lime juice.

what is fraction?

Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. A whole includes fractions. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. True fractions have numerators that are less than their denominators. A fraction is a sum that constitutes a portion of a total. By breaking the entire up into smaller bits, you can evaluate it. Half of a full number or item, for instance, is represented as 12.

by fraction

4/3 (orange Juice) + 3/4 apple juice + 2/3 cranberry juice + 3/4 lemon lime juice.

16/12+9/12+8/12+9/12=42/12=3 and 1/2 cups.

20/3.5=5.7 or 6

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One cubic foot holds 7.48 gallons of​ water, and 1 gallon of water weighs 8.33 pounds. How much does 4.4 cubic feet of water weigh in​ pounds? In​ tons?

Answers

Answer:

4.4 cubic feet of water weighs approximately 273.5016 pounds or 0.13676 tons.

Step-by-step explanation:

To find the weight of 4.4 cubic feet of water in pounds, we need to find the number of gallons it contains and then multiply it by the weight of one gallon of water.

1 cubic foot = 7.48 gallons

So, 4.4 cubic feet = 4.4 * 7.48 = 32.912 gallons

And the weight of 32.912 gallons of water in pounds is:

32.912 gallons * 8.33 pounds/gallon = 273.5016 pounds

To convert this weight to tons, we divide the weight in pounds by 2000:

273.5016 pounds / 2000 = 0.13676 tons

So, 4.4 cubic feet of water weighs approximately 273.5016 pounds or 0.13676 tons.

There are 12 consecutive parking slots available in a hotel parking lot in how many ways can four distinct cars be packed so that at least one parking slot remains vacant between into cars

Answers

Answer:

4 different spots

Step-by-step explanation:

12 - 4 spaces in between = 8 spaces

8 spaces / 4 cars = 4 spots

4 spots and 4 cars = 4 different spots for each car

16

13. Landon is 6 ft. tall and measures his shadow to
be 8.3 ft. long. At the same time of day, he
measures a tree's shadow to be 17.6 ft. long. How
tall is the tree?

Answers

Answer: 12.72 ft.

Step-by-step explanation:

[tex]\frac{6}{8.3} = \frac{x}{17.6} \\\\ 8.3x= 105.6\\\\x= 12.72[/tex]

examine whether you can construct a triangle PQR such that QR=3 cm, PQ=6 cm, PR=3 cm. Justify your answer​

Answers

You cannot construct a triangle PQR such that QR=3 cm, PQ=6 cm, PR=3 cm, as the sum of the lengths of the two smaller sides is not greater than the length of the larger side.

What is the condition for 3 lengths to represent a triangle?

In a triangle, the sum of the lengths of the two smaller sides has to be greater than the length of the greater side.

The lengths for this problem are given as follows:

Two smaller sides: 3 cm + 3 cm = 6 cm.Larger side: 6 cm.

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Hasten plans to choose a book from the section of the store where everything is 25% off he likes expression D -0.25 days to find the sale price of the book it if there is a YZ dollars below correctly write another expression 0.7 5D that will also find the surprise of the book if the original price is de dollars

Answers

Another form of representing the cost of the book is (75/100)×D.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

We know, Percentages and decimals are related.

10% in decimal form is equivalent to (10/100) - 0.1 in decimal.

An expression that represents the sale day book price is 0.75D.

Another expression that would represent the cost of the book priced 'D' would be,

= (75/100)×D.

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If the California Current moves at 0.25 cm/s, how fast is that in knots?

Answers

Answer:

0.4850 knots.

Step-by-step explanation:

To convert the speed of the California Current from centimeters per second to knots, we can use the conversion factor of 1 knot = 0.514444444 cm/s.

So, 0.25 cm/s * 1 knot / 0.514444444 cm/s = 0.4850 knots.

Therefore, the California Current moves at a speed of approximately 0.4850 knots.

What are the answers to these?

Answers

The values of the vacant spaces are $3.75, 4 oranges, 10 oranges, $15 and 20 percent of 160 is 32

What are the values?

The table can be completed using the following values

If 8 oranges cost $10,

Then 1 orange will cost 10/8 = $1.25

This means that  3 oranges will cost 1.25*3 = $3.75

$5 can buy 8/10*5 = 40/10 = 4 oranges

In the same way, $12.50 will buy 8/10 * 12.50 = 10 Oranges

In the same manner, 12 oranges will cost 1.25*12 = $15

20% of 160 can be calculated as follows

Recall that percentage is a proportion of 100

This implies that 20/100 * 160 = 3200/100 = 32

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Location Number Percent
Illinois 669,000 24%
Indiana 419,000 27%
Iowa 141,000 20%
Kentucky 307,000 31%
Michigan 556,000 26%
Missouri 352,000 26%
Ohio 678,000 26%
Wisconsin 266,000 21%
a. Use Excel functions to find the mean, median, mode, maximum, and minimum descriptive statistics for
the number column of the table. Clearly label these values in Excel.
b. Use Excel functions to find the mean, median, mode, maximum, and minimum descriptive statistics for
the percent column of the table.
c. Write a paragraph about your findings regarding the statistics on children whose parents do not have
secure employment. Make sure to answer the following in your paragraph: How does the state of
Indiana compare to the surrounding states? Which state has the best or worst data (explain your
reasoning)? Which value gives a better comparison, the number or the percentage (explain your
reasoning)?

Answers

Answer:  I can explain the steps for calculating descriptive statistics for the given data.

For the "number" column:

Mean: To find the mean, add up all the values and divide by the number of values.

Median: To find the median, arrange the values in numerical order and find the middle value. If there is an even number of values, take the average of the two middle values.

Mode: To find the mode, find the value that appears most frequently. If there is no value that appears more than once, then there is no mode.

Maximum: To find the maximum, find the largest value in the list.

Minimum: To find the minimum, find the smallest value in the list.

For the "percent" column:

Mean: To find the mean, add up all the values and divide by the number of values.

Median: To find the median, arrange the values in numerical order and find the middle value. If there is an even number of values, take the average of the two middle values.

Mode: To find the mode, find the value that appears most frequently. If there is no value that appears more than once, then there is no mode.

Maximum: To find the maximum, find the largest value in the list.

Minimum: To find the minimum, find the smallest value in the list.

Regarding the statistics on children whose parents do not have secure employment, it can be determined how each state compares to the surrounding states by comparing the mean, median, and mode of the "number" and "percent" columns. The state with the best or worst data can be determined by comparing the maximum and minimum values in each column. The value that gives a better comparison would depend on the purpose of the analysis. If the goal is to understand the overall number of children affected, then the "number" column would be more appropriate. If the goal is to understand the proportion of children affected in each state, then the "percent" column would be more appropriate.

Step-by-step explanation:

Need help with how to do this one...

Find the domain of

x ¹ -2
x + 1

A. x ≠ -1
B. x ≠ 1
C. x ≠ -2
D. x ≠ -1, 1
E. x ≠ 2
F. x ≠ 0

Answers

The domain of a fraction is all real numbers except those for which the denominator (bottom part of the fraction) is equal to zero. In this case, the denominator is "x + 1", so the domain is all real numbers except for x = -1. Therefore, the answer is (B) x ≠ 1.

Could anyone help with #1 and #2 PLEASE.
URGENT! DUE TOMORROW!!

Answers

Answer:

Do the graph Then Solve for y

Answer:

1. Yes, a graph of this relationship will be linear.

2. The y-intercept of the graph is (0, 2).

Step-by-step explanation:

1. The equation will be linear because it can be written in the standard form for the equation of a line. The standard form for the equation of a line is Ax + By = C. Eight can be subtracted from both sides of the equation to get 3x - 4y = -8, which fits the format for standard form. A, B, and C are integers, which includes negative numbers, zero, and whole numbers.

2. 3x - 4y + 8 = 0

3(0) - 4y + 8 = 0

-4y + 8 = 0

-4y = -8

y = 2

What is the value of x in l-16l = x

Answers

Answer: |-16| =x

- (-16)= x

x = 16

Step-by-step explanation:

thank you

5. Sarah makes a sculpture of a sunflower that is 33 inches tall. She also makes a sculpture of a tulip that is as tall as the sunflower. How tall is the sculpture of the tulip?​

Answers

The height of the tulip sculpture is 66 inches, which is twice the height of the sunflower sculpture.

How tall is the sculpture of the tulip?​

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

Sunflower = 33 inches

Tulip = Twice of sunflower

Using the above as a guide, we have the following:

Tulip = 2 * Sunflower

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

Tulip = 2 * 33

Evaluate

Tulip = 66

Therefore, the height of the tulip sculpture is 66 inches.

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Help with question 6:

Answers

If the quotient of two functions f(x) and g(x) is a constant, then their derivatives are proportional to each other.

How are g.f' and f.g' related?

A function is an expression that shows the relationship between the independent variable and the dependent variable.  A function is usually denoted by letters such as f, g, etc.

If the quotient of two functions f(x) and g(x) is a constant k, meaning f(x)/g(x) = k for all x, then it follows that:

f(x) = k.g(x)

Taking the derivative of both sides with respect to x, we get:

f'(x) = k.g'(x) + g(x).d(k)/dx

Since the constant k is a constant and not a function of x, its derivative with respect to x is zero, so we can simplify the equation to:

f'(x) = k.g'(x)

Thus, we can see that if the quotient of two functions f(x) and g(x) is a constant, then their derivatives are proportional to each other, with the constant of proportionality equal to k.

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Is the graph of y = x² + 2 a straight line? Explain.
O No. The graph does not pass through (0, 0), so it is not a straight line.
O No. The graph passes through the points (0, 2), (1, 3), and (2, 6), which do not all lie on a straight line.
O Yes. The graph passes through (0, 0), so it is a straight line.
O Yes. The graph passes through the points (0, 2), (1, 3), and (2, 6), which all lie on a straight line.

Answers

Answer: No, the graph of y = x² + 2 is not a straight line. The graph is a parabola that opens upwards and has its vertex at (0, 2).

A straight line is defined by a linear equation, which is an equation that can be written in the form y = mx + b, where m and b are constants. In this equation, the coefficient of x (m) represents the slope of the line, and the constant term (b) represents the y-intercept. A straight line has a constant slope, which means that the rate of change of y with respect to x is constant.

In the case of y = x² + 2, the coefficient of x (x) is not a constant, but rather a variable, which means that the slope of the line changes as x changes. The graph of y = x² + 2 is a parabolic shape that opens upwards and has its vertex at (0, 2). The slope of the graph is not constant, but rather increases as x increases. This means that the graph does not represent a straight line, but rather a parabolic curve.

Step-by-step explanation:

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WARMUP Thursday 9 FebruaryHighlight the 10 ErrorsHow did Hank Aaron earn his Nickname. He earn thename "Hammerin' Hank" by hittin a amazing 755 homeruns. Aaron was born in mobile, Alabama, onFebruary 5, 1934. He would go on to play forbaseball teams in Milwaukee and Atlanta. He was agrate batter and a strong team player. He heldrecords for most games played most at-bats, mosttotal bases, and most runs batted in. he also playin 24 All-Star games! -4x+7x=4(x+2)-(x+8) Miguel Rodriguez borrowed $200 from his brother Julio to pay for books and tuition. He agreed to pay Julio in 6 months with simple annual interest at 6.3% What is the Applications of AISI 8650 Alloy Steel? what is the default folder synchronized with onedrive? Diane obtains a loan for home renovations from a bank that charges simple interest at an annual rate of 9.65%. Her loan is for $17,100 for 76 days. Assume1365De not round any intermediate computations, and round your final answers to the nearest cent. If necessary, refer to the list of financial formulas.each day isof a year Answer each part below.(a) And the interest that will be owed after 76 days.$(b) Assuming Diane doesn't make any payments, find the amount owed after 76 days.?I need help fast which procedure listed is included under the umbrella of esthetic dentistry? When the price of almond milk is $3 per half gallon the quantity demanded ofoat milk is 20,000 half gallons. When the price of almond milk is $5 per halfgallon the quantity demanded of oat milk is 30,000.Calculate the cross-price elasticity of demand for almond milk and oat milk.Based on your calculation, what type of goods are almond milk and oat milk? what physical or chemical properties were the defining ones to identify the three unknowns? for example, was the odor the most obvious? the flammability? metamorphism can occur in the surrounding rock as an igneous pluton forms. which type of metamorphism is most likely to occur in the surrounding rock? 2.34 your company wants to set aside a fixed amount every year to a sinking fund to replace a piece of industrial equipment costing $250,000 at the end of five years from now. the sinking fund is expected to earn 5% interest. how much must your company deposit each year to meet this goal? What is the era as the period of many changes Pls help!! question number 15 is the one i am struggling on someone please help a girl out Write the exponential function that describes the situation.The initial amount of the function is 11 and then it decreases by a factor of 8/9 with each unit increase in xThe function that describes the situation is y= What is the arc length of GH? G 10 mm 60 H Express your answer as a simplified fraction in terms of T. How does Henry address his audience to develop his ideas in paragraph 1? Match the types of fairy tale with their meaning What percentage of Sophocles works still exist? (This is a math question -use the equation: total still existing total works = percent that still exist City officials conclude they should budget "s" million dollars for a new librarybuilding if the population increases by "p" thousand people in a ten-year census. The formula:s = 2 + 1/3(p + 1)^2/5expresses the relationship between population andlibrary budget for the city. How much can the population increase without the citygoing over budget if they have $5 million for a new library building? A. 600 square inchesB. 768 square inchesC. 648 square inches D. 792 square inches