What is the numerical expression that represents the sun of eight squared and thirty two

Answers

Answer 1

The numerical expression that represents the sum of eight squared and thirty two will be 96.

A numerical expression is a mathematical expression that consists of numbers and mathematical operations such as addition, subtraction, multiplication, division, and exponentiation.

The numerical expression that represents the sum of eight squared and thirty two is

= 8² + 32

= 64 + 32

= 96.

The question is incomplete and the complete question is '' What is the numerical expression that represents the sum of eight squared and thirty two''.

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Related Questions

QUESTION 1
Joe's Pizza Company faces a demand for its pizzas which obeys the "law of demand." This means if Joe lowers the price he charges
per pizza
His profit will rise.
He will sell more pizzas.
His profit will fall.
He will sell fewer pizzas.

Answers

If Joe lowers the price he charges per pizza, he will sell more pizzas. option B

Why would he sell more?

To sell more pizza, Joe must decrease the price he charges per unit. The law of demand dictates that when a product's cost decreases, its quantity demanded rises resulting in an increased sales volume.

It follows then that if Joe reduces his pizza prices more people will be inclined to purchase it creating this increase in sales . Nonetheless, whether Joe’s profit will rise or diminish depends on the extent of the rise in sales compared to the lowering of the price.

Even if there is a reduction in the price of every pizza, if the resultant sales volume is significant enough, Joe’s profit margin could still experience a positive turn.

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Drag tiles to fill in the blanks for o complete the experience that could be used to predict the number of possible outcomes

Answers

The first blank will be filled by Option A: Total Number of Possible Outcomes. The second blank will be filled by Option B: Number of Winners

How to explain the probability

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

= n(E) / n+S)

where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

Thus, the first blank will be filled by Option A: Total Number of Possible Outcomes. The second blank will be filled by Option B: Number of Winners

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Drag tiles to fill in the blanks to complete the expression that could be used to predict the number of winners of a game. Tiles may be used once or not at all. A)Total Number of Possible Outcomes B)Number of Winners C)Number of Unfavorable Outcomes D)Number of Games P(event) = Number of Favorable Outcomes _________________________ ????????????????????????????? = ????????????????????????????? _________________________ 11 Total Number of Contestants

ibrahim drew the graph below.
which of the following statements best describes the graph?

Answers

Answer:

B

Step-by-step explanation:

This is a linear function.

:D

I really need hep please

Answers

The valid row-operation which needs to be performed on the given matrix to get "1" in position of row1 and column1 are "R₁ → 2R₁ + R₂" and then "R₁ → R₁/2".

The "row-operation" is a type of matrix operation that involves swapping, scaling, or adding rows in a matrix. These operations are used to transform a matrix into a more reduced form.

The Augmented matrix on which we have to perform the "row-operation" is

⇒ [tex]\left[\begin{array}{ccc}7&-4&8\\-12&7&-13\end{array}\right][/tex],

To get "1" in first row and first column,

The first row-operation is R₁ → 2R₁ + R₂

We get,

⇒ [tex]\left[\begin{array}{ccc}7\times 2-12&-4\times 2+7&8\times 2-13\\-12&7&-13\end{array}\right][/tex],

⇒ [tex]\left[\begin{array}{ccc}14-12&-8+7&16-13\\-12&7&-13\end{array}\right][/tex]

⇒ [tex]\left[\begin{array}{ccc}2&-1&3\\-12&7&-13\end{array}\right][/tex],

The second , row-operation to get a "1", is R₁ → R₁/2,

We get,

⇒ [tex]\left[\begin{array}{ccc}2/2&-1/2&3/2\\-12&7&-13\end{array}\right][/tex],

⇒ [tex]\left[\begin{array}{ccc}1&-0.5&1.5\\-12&7&-13\end{array}\right][/tex].

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Which is equivalent to 234 2/5

Answers

234 2/5 is equivalent to 1172/5.

234 2/5 is a mixed number, which means it is a combination of a whole number and a fraction.

To convert it to an improper fraction, we need to multiply the whole number by the denominator of the fraction and add the numerator.

The result becomes the new numerator, and the denominator stays the same.

In this case, we have:

234 2/5 = (234 x 5 + 2) / 5

= 1172/5

Therefore, 234 2/5 is equivalent to 1172/5 as an improper fraction.

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Solve the quadratic equation by completing the square.
2
x² - 4x-10=0
First, choose the appropriate form and fill in the blanks with the correct num
Then, solve the equation. Round your answer to the nearest hundredth.
If there is more than one solution, separate them with commas.

Answers

x^2 - 4x - 10 = 0
x^2 - 4x = 10
x^2 - 4x + 4 = 10 + 4
(x - 2)^2 = 14
x - 2 = (+-) sqrt 14
x = 2 (+-) sqrt 14

x = 2 + sqrt 14 and x = 2 - sqrt 14 <== ur solutions

Lines and Angles
10) In the figure below BD is the perpendicular bisector of AC. Find the value of x.
3(2x-8)
4425
Enter your answer in the box.
x=

Answers

Since BD is the perpendicular bisector of AC, then AB = BC, which implies 2x - 8 = 5x - 17.

Solving for x, we have:

3(2x - 8) = 4425

6x - 24 = 4425

6x = 4451

x = 741.83

Rounding to the nearest whole number, we have x = 742.

Therefore, x = 742.

The data set shown below represents the distribution of daily high temperatures in a city for 8 days.

79
,

73
,

72
,

70
,

72
,

66
,

81
,

75
79, 73, 72, 70, 72, 66, 81, 75

What is the median high daily temperature, in degrees Fahrenheit, in the city?

Answers

For the given data set of temperatures, the median temperature is 72.5 degree Fahrenheit.

In order to find the median temperature, we first need to arrange the temperatures in order from lowest to highest:

The temperatures arranged in order is : {66, 70, 72, 72, 73, 75, 79, 81}

There are 8 temperatures in total, which is an even-number, so the median will be the average of fourth and fifth day temperature.

In this case, the temperature of the fourth day is 72, and fifth day is 73,

The average will be = (72+73)/2 = 72.5,

Therefore, the median high daily temperature in the city is 72.5 degrees Fahrenheit.

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The given question is incomplete, the complete question is

The data set shown below represents the distribution of daily high temperatures in a city for 8 days.

79,73,72,70,72,66,81,75.

What is the median high daily temperature, in degrees Fahrenheit, in the city?


This is so hard. Can you help me with this?

Answers

Answer: 70, 6

Step-by-step explanation:

(a)  For <F  that is the same as <D.  The image has little hash marks to indicates the sides across from those angles are the same; therefore, the angles are the same

All of the angles are = 180   if you subtract <E, you are left with 140 to be split between <F and <D

<F= 70

(b) all of the sides are the same because all the angles are the same

so AB=6

Write a​ slope-intercept equation for a line passing(3,-2) through the point that is parallel to the line 3X+4Y= 9. Then write a second equation for a line passing through the point (3,-2) that is perpendicular to the line 3X+4Y= 9.

Answers

First, to write the slope-intercept equation for a line passing through (3, -2) that is parallel to the line 3X + 4Y = 9, we need to find the slope of the given line. We can rewrite the line equation in slope-intercept form:

4Y = -3X + 9

Y = (-3/4)X + 9/4

The slope of this line is -3/4. Since the line we want is parallel to this line, it will have the same slope. We can use the point-slope form of a line to write the equation:

Y - (-2) = (-3/4)(X - 3)

Simplifying this equation, we get:

Y = (-3/4)X + 7/2

This is the slope-intercept equation for the line passing through (3, -2) that is parallel to the line 3X + 4Y = 9.

Next, to write the equation for a line passing through (3, -2) that is perpendicular to the line 3X + 4Y = 9, we again need to find the slope of the given line. We can rewrite the line equation in slope-intercept form:

4Y = -3X + 9

Y = (-3/4)X + 9/4

The slope of this line is -3/4. Since the line we want is perpendicular to this line, it will have a slope that is the negative reciprocal of -3/4. The negative reciprocal is 4/3. We can use the point-slope form of a line to write the equation:

Y - (-2) = (4/3)(X - 3)

Simplifying this equation, we get:

Y = (4/3)X - 2/3

This is the slope-intercept equation for the line passing through (3, -2) that is perpendicular to the line 3X + 4Y = 9
:)!

Tyler is simplifying the expression: 6-2x+5+4x Here is his work

6-2x+5+4x
(6-2)x+(5+4)x
4x+x
13x

a. Explain the error he made

b. Simplify the expression: 6-2x+5+4x

Answers

Answer:

11-2x not 13x

Step-by-step explanation:

\(6-2)x + (5-4)x does = 13x

If there were parentheses as in the 2nd line, everything else is correct

the mistake is going from

6-2x + 5-4x to

(6-2x) + (5-4)x

PEMDAS is the order of operations. P for parentheses 1st, Multiplication 3rd, addition 4th, subtraction 5th

(there are no exponents or division or parentheses, so it's just M, A and S that apply)

combine like terms, 2x-4x =-2x

combine the constant terms 6+5 = 11

6-2x +5-4x = 11-2x

The mistake was assuming parentheses when they aren't there.

correct answer is 11-2x not 13x

2. If 15% of the first digit equals 21% of the second digit, then what percentage of the second digit equals 25% of the first digit?

Answers

Answer:

35%

(I replaced the 1st digit by a and the second digit by b)

Make x the subject of the formula where x is positive:
2(x-2y) = 6xz+5u

Answers

Answer:

x = [tex]\frac{5u+4y}{2-6z}[/tex]

Step-by-step explanation:

2(x - 2y) = 6xz + 5u ← distribute parenthesis on left side

2x - 4y = 6xz + 5u ( add 4y to both sides )

2x = 6xz + 5u + 4y ( subtract 6xz from both sides )

2x - 6xz = 5u + 4y ← factor out x from each term on the left side

x(2 - 6z) = 5u + 4y ← divide both sides by (2 - 6z)

x = [tex]\frac{5u+4y}{2-6z}[/tex]

A side of an equilateral triangle is 20 cm long. What is the area of the triangle

Answers

Should be 60 cm long in total. All sides are equal and it’s a triangle, so 20+20+20. Hope this helps

P(JIK) = 0.35, P(KJ) = 0.95, P(K) = 0.3
What is P(J)?
O 0.1105
O 0.8143
O 0.8895
O 0.1857

Answers

The conditional value probability is solved and P ( J ) = 0.1105

Given data ,

P(JIK) = 0.35, P(KJ) = 0.95, P(K) = 0.3

We can use Bayes' theorem to find P(J):

P(J | K) = P(K | J) * P(J) / P(K)

0.35 = 0.95 * P(J) / 0.3

0.35 * 0.3 = 0.95 * P(J)

0.105 = 0.95 * P(J)

P(J) = 0.105 / 0.95

P(J) = 0.1105

Hence , the probability is P ( J ) = 0.1105

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2010 2008
$971 $812
$977 $943
$900 $873
$1071 $1023
$501 $486



3. Identify whether the mean or median is a more accurate reflection of the data.
Explain why.

Answers

The median is the accurate reflection of the data

How to solve for the mean

501, 900, 971, 977, 1071

The mean would be

summation of the values

mean = 884

The median is the value that occurs in the middle = 971

The median would be more accurate reflection of the data. 501 is an outler. This is what caused us to have a mean that is c loser to 884. Hence we have 971 the median to be more accurate reflection of the data

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If angle 3=61, what should angle 1 and angle 2 be?

Answers

Answer:

Step-by-step explanation:

so the entire angle sum is 180 degrees then subtract 61 from 180 and divide by 2. hope it helps :)

A map shows the vertices of a campsite are (25,10), (25,-5), (-5,-5), and (-5,10). The vertices of your tent are (0,-3), (0,6), (10,6), and (10,-3). The coordinates are measured in feet. What percent of the campsite is not covered by your tent?

Answers

The percent of the area that is not covered is 80 percent

How to calculate the area that is not covered

In mathematics area is defined as the absolute or total space that an object or shape occupies. It is usually measured using centimeters, cm ² square or the use of meter square m ².

area of tent

= (10 - 0) * (6 - (-3))

= 90

The area of the campsite would be:

(25 - (-5) x (10 - (-5))

= 450

Then the area would be 450 - 90

= 360

the percentage that is not covered by tent = 360 / 450 x 100

= 80 percent

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Two similar cones have surface areas of 1883 square meters and 7532 square meters, respectively. If the height of the smaller cone is 36 meters, what is the height of the larger cone?

Answers

The height of the larger cone is 71.13 meters

What is the height of the larger cone?

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

Two similar cones have surface areas of 1883 square meters and 7532 square meters. Height of the smaller cone is 36 meters

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

Scale factor = h1/h2

So, we have

h1/h2 = √(1883/7352)

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

36/h2 = √(1883/7352)

So, we have

h2 = 36 * √(7352/1883)

Evaluate

h2 = 71.13

Hence, teh height is 71.13

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Complete the following using compound future value. (Use the Table provided.)
Note: Do not round intermediate calculations. Round your final answers to the nearest cent.
Time
6 years
Principal
$ 15,300
Rate
8 %
Compounded
Quarterly
What is amount &
Interest?

Answers

Answer:

We can use the formula for compound interest to calculate the amount and interest:

A = P * (1 + r/n)^(n*t)

I = A - P

Where:

P = Principal = $15,300

r = Rate = 8% = 0.08

n = Compounding frequency per year = 4 (since it is compounded quarterly)

t = Time period = 6 years

Plugging in the values, we get:

A = 15,300 * (1 + 0.08/4)^(4*6) = $23,659.28

I = 23,659.28 - 15,300 = $8,359.28

Therefore, the amount after 6 years is $23,659.28 and the interest earned is $8,359.28.

I hope this helps.

tamara plays video games for the same amount of time each day. in 4 days she played video games for 48 minutes in 9 days how many minutes did she play video games

Answers

Answer:

Step-by-step explanation:

Its simple, you need to find x

4 days the same amount of time (x) gives 48 min
4x = 48

x = 48/4

x = 12

then to get the amount of minutes in 9 days it would be:

9x=days

9(12)=108

the answer would be 108 min

Answer:

108 mins

Step-by-step explanation:

48 mins/4 days = x mins/9 days

4x= 432

x=108 mins

The mean pulse rate in beats per minute of a certain group of adult males is 76 bpm. The hypothesis test results in a p-value of 0.0075
State a conclusion about the null hypothesis

Answers

The conclusion on the null hypothesis is B. Reject H₀ because the P-value is less than or equal to a.

How to conclude on the null hypothesis ?

It is posited that the mean pulse rate for a specific grouping of adult males equals 76 bpm as set forth by the null hypothesis. In its place, an alternative hypothesis suggests this figure does not reflect actuality.

At a given significance level identified by alpha = 0.05, rejection of the null hypothesis requires us to identify a P-value lesser than or equal to 0.05.

The P-value determined within the question happens to be below such a threshold at 0.0075, which results in the rejecting of the null hypothesis.

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Please reply me as soon as possible with step by step answer for this

Answers

The length of the curve y = 5 - 4x, -2 ≤ x ≤ 2, is 4√(17).

What is the length of the curve?

To use the arc length formula, we need to find the derivative of the curve y = 5 - 4x:

y' = -4

Then, we can use the arc length formula:

L = ∫[a,b] √(1 + (y')^2) dx

where a and b are the limits of integration. In this case, a = -2 and b = 2.

L = ∫[-2,2] √(1 + (-4)^2) dx

= ∫[-2,2] √(17) dx

= √(17) * [x]_(-2)^(2)

= 4√(17)

So the length of the curve y = 5 - 4x, -2 ≤ x ≤ 2, is 4√(17).

To check this answer, we can note that the curve is a line segment with endpoints (-2, 13) and (0.75, 1), and we can calculate its length using the distance formula:

L = √((0.75 - (-2))^2 + (1 - 13)^2)

L = √(18.25 + 144)

L = √(162.25)

L = 4√(17)

This matches our previous answer, so we can be confident that the length of the curve is 4√(17).

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The lodge has 420 skis. Predict the number of skis that are likely to be defective.

Answers

A ski lodge inspects 80 skis and discovers four that are faulty. The skis that are likely to be defective are 21.

It is assumed that there are 80 skis, four of which are faulty.

As a result, the total number of outcomes is 80.

Positive outcomes = 4

Let [tex]E_{1}[/tex] represent the event of selecting a faulty. As a result, the likelihood of selecting a defective ski is expressed mathematically as follows.

[tex]E_{1}[/tex] = Favorable case of defective / Total number of skis

= 4 / 80

= 1 / 20

=0.05

Skis will be discovered in 5% of cases.

So, the event of choosing a defective is 4 / 80.

If the total number of skis is 420, then the number of defective skis will be:

4 / 80 × 420

= 1/20 × 420

= 21

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Correct question:

A ski lodge inspects 80 skis and finds 4 to be defective. The lodge has 420 skis. Predict the number of skis that are likely to be defective.

Assignments...
Library Search
Khan Academy
Estimate the solution to the system of equations.
You can use the interactive graph below to find the solution.
fy=
=−x+2
Get Al Guide
y = 3x -4
Donate

Answers

The solution of the given system of equations is (1, 2.5)

How to explain the equation

From the graph attached, it van be seen that two intersecting lines represent the system of equations.

And the solution of the system of equations is a common point where these lines intersect.

The graph shows both the line are intersecting each other at (1, 2.5).

Therefore, the solution of the given system of equations will be (1, 2.5).

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100 Points!!! Algebra question. Use synthetic substitution to find f(-3) and f(4) for 3x^4-4x^3+3x^2-5x-3. Please show as much work as possible. Photo attached. Thank you!

Answers

The mapping of the function f(x) given as 3x⁴ - 4x³ + 3x² - 5x - 3 is define at;

-3, f(-3) = 390 and at 4, f(4) = 537

What is a function

A function is a rule that defines a relationship between one variable. It is the mapping whose codomain is the set of real numbers

By substitution:

For x = -3;

f(-3) = 3(-3)⁴ - 4(-3)³ + 3(-3)² - 5(-3) - 3

f(-3) = 3(81) + 4(27) + 3(9) + 15 - 3

f(-3) = 243 + 108 + 27 + 15 - 3

f(-3) = 390

For x = 4;

f(4) = 3(4)⁴ - 4(4)³ + 3(4)² - 5(4) - 3

f(4) = 3(256) - 4(64) + 3(16) - 20 - 3

f(4) = 768 - 256 + 48 - 20 - 3

f(4) = 537

Therefore, the mapping of the function f(x) = 3x⁴ - 4x³ + 3x² - 5x - 3 for the values of x: -3 and 4 we have the results 390 and 537 respectively.

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Jaswat set out to walk a distance of 12 Km. After walking for 1 1/2 hours at a speed of
6 Km/h, he had to slow down to steady pace of 4 Km/h , which he maintained till the
end of the journey. How long did he take to complete the journey?

Answers

Answer: 2 hours 15 minutes

Step-by-step explanation:

To solve this problem, we need to use the formula:

distance = speed x time

First, let's calculate the distance Jaswat covered in the first 1 1/2 hours:

distance = speed x time

distance = 6 Km/h x 1.5 h

distance = 9 Km

So, Jaswat covered 9 Km in the first 1 1/2 hours. He still had to cover 12 Km - 9 Km = 3 Km.

Now, we need to calculate the time Jaswat took to cover the remaining 3 Km at a speed of 4 Km/h:

distance = speed x time

3 Km = 4 Km/h x time

time = 3 Km / 4 Km/h

time = 0.75 hours = 45 minutes

Therefore, Jaswat took 1 1/2 hours + 45 minutes = 2 hours 15 minutes to complete the journey.

Complete the worksheet below please

Answers

Answer:

x= 3 cm

Explanation:

I am bad at it

You want to determine the number of students in your school who have visited a public library. You survey 30 students at random. Twenty-four have visited a public library, and six have not. So, you conclude that 80% of the students in your school have visited a public library.

Determine whether the conclusion is valid

Answers

Answer: e

Step-by-step explanation:

Answer:Valid

Step-by-step explanation:

You’re planning to buy a house and you want to have $35,000 to put as a down payment. If you have $20,000 today and you’re able to receive 12% interest rate for investing the money, how long will it take you to have enough money for the down payment saved?

Answers

It will take approximately 6.24 years to have enough money for the down payment saved.

How to calculate how long will it take you to have enough money for the down payment saved

We can use the formula for compound interest to solve this problem:

A = P(1 + r/n)^(nt)

where:

A = the amount of money we want to have (in this case, $35,000)

P = the initial amount we have (in this case, $20,000)

r = the annual interest rate (in this case, 12%)

n = the number of times interest is compounded per year (let's assume it's compounded monthly, so n = 12)

t = the number of years we're investing for (this is what we want to find)

Substituting the values we know:

$35,000 = $20,000(1 + 0.12/12)^(12t)

Simplifying:

1.75 = (1 + 0.01)^(12t)

Taking the natural logarithm of both sides:

ln(1.75) = 12t ln(1.01)

Dividing both sides by 12 ln(1.01):

t = ln(1.75) / (12 ln(1.01))

Using a calculator:

t ≈ 6.24 years

Therefore, it will take approximately 6.24 years to have enough money for the down payment saved.

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Other Questions
A scientist studies cultures of four different types of cells undergoing cellular respiration and determines the average number of ATP molecules produced per cell, per molecule of glucose consumed. The data was recorded in the table. Some of the cultures might be of a bacterium, which cannot undergo aerobic respiration. Which cells produce lactic acid as a byproduct of respiration?A) Cells X and ZB) Cells W and YC) Only Cell YD) Only Cell W The path from Tyler's home to the school is straight. On his way home from school, Tyler starts riding a bus, but seeing his neighbor walking, he decides to get off the bus and join him. they notice that Tyler's distance in meters to the home is y=450-72x, where x is the time in minutes after they meet. Part A: What is the distance from the place tyler meets his neighbor to tyler's home, in meters?Part B: What is the speed of Tyler in m/s?Part C: Let y be the distance in meters from Tyler to the school, x is the time in SECONDS after he meets his neighbor. What is the equation of y in terms of x, is the distance from the school to his home is 800m? what is the function of the dot operator? group of answer choices c) it allows one to invoke a method with in an object when a reference to the object b) it allows one to access the data within an object when given a reference to te object e) both b and c ae correct a) it serves to separate the integer portion from the fractional portion of a floating-point number d) it is used to determine command, similar to the way a period terminates a sentence in english 1.85 l of a gas is collected over water at 98.0 kpa and 22.0 c. what is the volume of the dry gas at stp? Explain the relation between area, distance and capacitance The Wyler Aerial Tramway in Franklin Mountains State Park begins at the tramway station, which is at an elevation of 4692 feet. It takes 4 minutes to reach Range Peak, which is at an elevation of 5632 feet. What equation is used to estimate the height E of the tramway t seconds after it left the station?E = 4692-3. 9tE = 4692 + 3. 9tE = 5623 + 3. 9tE = 5623 - 4692t Q.1 Nancy Cotton bought NuTalk for $15 per share. One year later, Nancy sold the stock for $21 per share, just after she received a $0.90 cash dividend from the company. What total return did Nancy earn? What were the dividend yield and the capital gains yield? El permetro de un rectngulo es de 54 pulgadas. su longitud dos veces es ancho. encontrar la longitud y anchura del hallazgo rectngulo el rea del rectngulo Question 2 of 10When payroll expenses are journalized, each individual payable account isentered asOA. a debit and a creditOB. a debitC. neither a debit nor a creditD. a credit write a oral about two to three minutes that contains the topic the greatest inventions 1. If you were Roger Sherman of Connecticut, would you havedone exactly what he did when he presented the "GreatCompromise" (Page 81) to the delegates at the ConstitutionalConvention? If yes, why? If not, what would you have donedifferently? Explain in detail. The charge for a mission to the zoo is $3.25 for each adult and $1.50 for each student. on a day when 400 people paid to visit the zoo, the receipts totaled 1,237. find the number of adult tickets purchased that day Find the mean absolute deviation (MAD) of the data in the pictograph below. BasketsThe key says one basketball picture equals two baskets. The key says one basketball picture equals two baskets. A picture graph labeled Baskets each student made. The vertical axis is labeled Baskets made. The horizontal axis is labeled Student. The names from left to right on the horizontal axis are Reynaldo, Marcelle, Allie, and Fernando. There are two basketball pictures above Reynaldo. There are four basketball pictures above Marcelle. There are three basketball pictures above Allie. There are five basketball pictures above Fernando Create a list of books you like most. Make sure the list has more than 7 books. Assume you want to randomly assign one book to read to each of your 7 friends. Make sure no two people get the same book assigned to them.This a coding question, so paste your answer directly from python What was the activity? jumping jackshow long did you spend doing your activity? 1 minutehow much of the activity did you complete in the time period? (example: i did 24 sit-ups in one minute). 63which of these variables is your dependent variable? which one is the independent variable? write a sentence that describes the relationship between the dependent variable and the independent variable. (hint: ratio language can help.)time(minutes) 0 01 63 2 126 3 1894 252if you were able to maintain this rate of your activity for 12 minutes, how much of the activity would you be able to complete? 753how long would it take you to reach 100 for the number of times you did your activity? one minute and a half.only needs these questions answered 1. which of these variables is your dependent variable? 2. which one is the independent variable? 3. write a sentence that describes the relationship between the dependent variable and the independent variable. (hint: ratio language can help.) How much H2 gas at STP can be produced bythe reaction2 Na(s) + 2 H2O() H2(g) + 2 NaOH(aq)of 3.60 g of Na and excess water?Answer in units of L. 1.Tammy has the following sentence as her thesis statement for a position-based research paper: By 2025, the obesity rate in America will increase by over five percent. Explain if this sentence is an effective thesis or not. ( "The following issues have been identified as potentialstressors. Explain how do they contribute to workplace stress.A. Tight deadlinesB. Long hoursC. balance work and family life" Science! Dr. Robinson has discovered a new element: Geometrium. In its liquid form, Geometrium has a density of5.3432 grams per cubic centimeter. It is held inside a glass square pyramid whose base has a side length of 7 cmand height of 15 cm.1. What is the surface area of the pyramid? Write the implementation file, priority queue. C, for the interface in the given header file, priority queue. H. Turn in your priority queue. C file and a suitable main program, main. C, that tests the opaque object. Priority queue. H is attached as a file to this assignment but is also listed here for your convenience. Your implementation file should implement the priority queue using a heap data tructure. Submissions that implement the priority queue without using a heap will not receive any credit