how to find the lcd and subtract the following fractions what is the answer of 5 over 6 minus 1 over 4 pls

Answers

Answer 1

Answer:

[tex]\displaystyle \frac{7}{12}[/tex]

Step-by-step explanation:

When we are subtracting fractions with different denominators, we find the least common denominator of each one. In the case of 6 and 4, they both share 12 as the least common denominator, so we can rewrite each fraction as equivalents with denominators of 12:

[tex]\displaystyle \frac{5}{6}-\frac{1}{4}=\frac{5*2}{6*2}-\frac{1*3}{4*3}=\frac{10}{12}-\frac{3}{12}=\frac{7}{12}[/tex]

Answer 2

Step-by-step explanation:

This calculator subtracts two fractions. First, convert all fractions to a common denominator when fractions have different denominators


Related Questions

Find the difference between Mary's weight when she was 10 year's old and when she was born

Answers

The difference between Mary's weight when she was 10 year's old and when she was born will be;

⇒ 72 pounds

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

When Mary was born, she weighed 8 pounds.

And, When she was 10 years old, she weighed 10 times as much.

Now,

Since, When she was 10 years old, she weighed 10 times as much.

Hence, When she was 10 years old, she weighed = 10 × 8 pounds

                                                                             = 80 pounds

And, When Mary was born, she weighed 8 pounds.

Thus, The difference between Mary's weight when she was 10 year's old and when she was born is,

⇒ 80 - 8 pounds

⇒ 72 pounds

So, The difference between Mary's weight when she was 10 year's old and when she was born is 72 pounds.

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The complete question is this,

When Mary was born, she weighed 8 pounds. When she was 10 years old, she weighed 10 times as much. How much more did Mary weigh when she was 10 years old than she was born?

A triangle has sides with lengths 8, 15, and 17. approximate the acute angles in this triangle to the nearest degree and list in ascending order

Answers

Answer:

28°, 62°

Step-by-step explanation:

As 8,15,17 is a Pythagorean Triple, the triangle must be a right triangle. Hence, we can use our common trig ratios to solve the problem. Let's assume our right triangle has a base of 8, a height of 15, and a hypotenuse of 17.

Here are all the acute angles in order:

[tex]\cos^{-1}(\frac{15}{17})\approx28^\circ[/tex]

[tex]\sin^{-1}(\frac{15}{17})\approx62^\circ[/tex]

Anna and Sharon both construct a triangle. Anna begins by drawing a segment with a length of 3 inches. Starting from one vertex, she draws another segment with a length of 5 inches so that the two segments have an included angle of 35°. Sharon constructs her triangle by drawing a segment with a length of 5 inches, measuring a 35° angle, and drawing a ray from one vertex. Then she measures and terminates the ray at 3 inches. Do Anna and Sharon create congruent triangles? Explain.

Answers

Answer:

Yes, Anna and Sharon both created triangles that are congruent. Their triangles are congruent because they have 2 corresponding, congruent side-lengths and an included angle that is congruent. Therefore, their triangles are congruent by SAS (Side-Angle-Side).

19x+4 find the value of x

Answers

Answer:

x= -4/19

Step-by-step explanation:

19x+4

19x+4=0

19x= - 4

x= -4/19

Please help
Match the items.
a. Multiplicative Inverse
b. Additive Inverse
c. Commutative Property of Multiplication
d. Distributive Property
e. Additive Identity Property
f. Associative Property of Addition

1. 5.6=6-5
2. -8+0= -8
3. (3+5) +9=3+ (5+9)
4. 5.1=1
5. 7+(-7)=0
6. 5(x−4)=5x−20

Answers

The matching of the items as follows ,a - 4 , b - 5, c - 1 , d - 6 ,  e - 2 , f - 3

What is a number ?

number is used to represent the quantity of number  and it is even used for calculations.  

a) Multiplicative inverse

if the product the given number and reciprocal of the given number is 1.

so,

5 * 1/5  = 1

as LHS = 5 * 1/5  = 1

RHS = 1

Hence , a - 4

b )  Additive inverse

if the summation of the given number and opposite sign of given number results 0 .

7 + (-7) = 0

LHS = 7+ (-7) = 0

RHS = 0

hence , b - 5

c ) Commutative Property of Multiplication

if a.b = b.a hence it is in Commutative Property of Multiplication .

so,  5.6 = 6.5

hence , c - 1

d) Distributive property

if a ( b + c ) = a*b + a*c than it is in distributive property .

hence , d - 6

e) Additive Identity Property

if a+ 0 = a hence it is Additive Identity Property

so , b - 2

f ) Associative Property of Addition

if (a+b) + c = a + (b+c ) hence it is in Associative Property of Addition

so , f - 3.

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suppose that a randomly generated list of numbers from 0 to 9 is being used to simlulate an event that has a probability of success of 30% which of these groups of numbers could represent a success

Answers

Any event for which, the 3 numbers between 0 and 9 are outcomes could represent the success.

What is probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

Given is that suppose that a randomly generated list of numbers from 0 to 9 is being used to simulate an event that has a probability of success of 30%.

For the success rate of 30%, this means the probability of that specific event would be 0.3.

So any event for which, the 3 numbers between 0 and 9 are outcomes or are the number of favorable events could represent the success.  

Therefore, any event for which, the 3 numbers between 0 and 9 are outcomes could represent the success.  

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What is the image of R for a dilation with center (0, 0) and a scale factor of
2
X

Answers

Answer: free allah long live

Step-by-step explanation:

46564

How do logarithmic functions model real-world problems and their solutions? Give a specific example and explain.

Answers

The process of logarithmic functions in real-worlds problems is given below.

And an example of an application of logarithmic function is given.

What is Logarithmic?

The inverse of exponentiation is the logarithm. This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b.

We know,

logarithmic function and exponential function are inverse of each other.

So, whenever we solve the exponential function,

we use the help of logarithmic functions.

To compute the number with bigger exponents,

we use the logarithms.

Because it reduces the size of the numbers.

Let the bacteria is growing exponentially,

b = 2ⁿ.

We know that the bacteria grows every hour.

We want to find time.

Here, we will use the inverse function to the exponential function.

How long will it take them to get 1000 bacteria?

1000 = 2ⁿ

Taking log on both sides,

log(1000) = n log2

n = log(1000)/log(2)

n = 9.96

n ≈ 10 hours.

Therefore, an application of logarithmic function is given above.

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Use the rule x+8 to write a sequence of numbers. Then write the sequence as a list of ordered pairs. Start with and substitute at least six values for .

Answers

Answer:
Here is a sequence of numbers using the rule "x+8":

x+8=9 (x=1)

x+8=10 (x=2)

x+8=11 (x=3)

x+8=12 (x=4)

x+8=13 (x=5)

x+8=14 (x=6)

Here is the sequence of ordered pairs:

(1, 9)

(2, 10)

(3, 11)

(4, 12)

(5, 13)

(6, 14)

Tara is painting her room she brought paint that takes 3 gallons to cover an area of 75 square feet how many gallons of paint will tara need to paint 375 square feet of her room

Answers

Tara will need gallons of paint

There is a raffle for the class of 30
students. There are 3 prizes that are gift
cards for the value of $5, $10 and $25.
How many ways can there be 3 winners of
this raffle?

Answers

Answer:

Having 3 students pick a raffle

Step-by-step explanation:

Several minutes later, Raul decides to measure the water temperature again. He finds that the temperature changed by -0.6°F. What is the temperature of the water now? Show your work.

Answers

The current temperature of the water is given as follows:

71.7 ºF.

How to obtain the current temperature of the water?

The defining statement from the problem is given as follows:

He finds that the temperature changed by -0.6°F.

The change by the negative amount of -0.6ºF means that the current temperature of the water is obtained subtracting the previous temperature of the water by 0.6 ºF.

The previous temperature of the water is given as follows:

72.3°F.

Hence the current temperature of the water is obtained subtracting 72.3ºF and 0.6ºF, as follows:

72.3 - 0.6 = 71.7 ºF.

Missing Information

The previous temperature of the water is given as follows:

72.3°F.

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Select largest number from 16,48,8

Answers

Answer:

48.

Step-by-step explanation:

8 < 16 < 48

48 > 16 > 8

Answer:

Step-by-step explanation:

Select largest number from 16,48,8

Find the volume of the given solid. Bounded by the cylinder y^2+z^2=4 and the planes x=2y, x=0, z=0 in the first octant

Answers

The volume of the given solid. Bounded by the cylinder y^2+z^2=4 and the planes x=2y, x=0, z=0 in the first octant is 16/3 unit cute

V = ∫ dV

= ∫0→2 ∫ 0→π/2 ∫ 0→ 2·r·sin(φ) [ r ] dzdφdr

Factorize to have

= ∫0→2 ∫ 0→π/2 [ r·2·r·sin(φ) - r·0 ] dφdr

= ∫0→2 ∫ 0→π/2 [ 2·r²·sin(φ) ] dφdr

= ∫0→2 [ -2·r²·cos(π/2) + 2·r²·cos(0) ] dr

= ∫0→2 [ 2·r² ] dr

= (2/3)·2³ - (2/3)·0³

Conclusively, this implies that the volume is = 16/3

In conclusion, the volume of the given solid is 16/3. cubic units

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type an (x,y) ordered pair to put a point on this line.​

Answers

The ordered pair (x, y) for the given line can be obtained from the graph as (-4, 1).

What is the equation for a straight line?

A straight line can be written in the form of an equation as, y = mx + c.

Two straight lines intersect each other only at one point.

When two straight lines are parallel to each other the angle between them is zero.

The graph of the line is given.

In order to find the coordinate of a point do as follows,

Draw a perpendicular line from any point on the line to the x-axis.

The intersection of this line with the x-axis will give the x-coordinate.

Similarly, find the y-coordinate by drawing a perpendicular line to the y-axis.

Applying the above procedure, a point is obtained as (-4, 1).

Hence, the ordered pair for the line shown in the graph is (-4, 1).

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find quotient 5/4 divided by 13/12

Answers

Answer: 1.15384615385

Step-by-step explanation:

divide

A pizza shop sold 18 medium pizzas. The number of large pizzas sold was 3 times as many as the number of medium pizzas sold. How many pizzas did the pizza shop sell altogether?

Answers

Answer:

18 × 3 = 54

18 + 54 = 72

Therefore, the answer is 72.

18x3 +18 = 54+ 18 = 72. 72 pizzas were sold

Help PLEASE IN A RUSH!
Which graph represents this system?

y = 3. x + y = 4.
On a coordinate plane, a horizontal line is at y = 3 and another line goes through (0, 4) and (4, 0).
On a coordinate plane, a vertical line is at x = 3 and another line goes through (0, 4) and (4, 0).
On a coordinate plane, a horizontal line is at y = 3 and another line goes through (0, 4) and (2, 6).
On a coordinate plane, a vertical line is at x = 3 and another line goes through (0, 4) and (3, 7).

Answers

Answer:

first option

Step-by-step explanation:

y = 3 is a horizontal line parallel to the x- axis and passing through all points with a y- coordinate of 3

x + y = 4 ← is the equation of a straight line

find the x and y- intercepts

to find the y- intercept let x = 0 in the equation and solve for y

0 + y = 4 , that is

y = 4 ⇒ (0, 4 ) is a point on line

to find the x- intercept let y = 0 in the equation and solve for x

x + 0 = 4 , that is

x = 4 ⇒ (4, 0 ) is a point on the line

the graph representing the system is

a horizontal line y = 3 and another line passing through (0, 4 ) and (4, 0 )

The weight of the square is 10 grams. How much heavier is the circle than the square?

Answers

The weight of the circle is heavier than the weight of the square by the weight of the triangle

How to find how much weightier is the circle as compared with the square

Examining the weights, can lead to a linear equation, the equation will have the follows parameters

let t represent triangle

let c represent circle

let s represent square

6s + 3t = 3s + 3c

6s - 3s + 3t = 3s + 3c

3s + 3t = 3c

divide through by 3

s + t = c

10 + t = c

From the equation 10 + t = c we can say that the weight of the circle is a triangle weight more than the square

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Fine Floors can install 15 square yards of carpeting in 4 hours 30 minutes. At this rate, how long would it take to install carpeting in a room that measures 11 feet 9 inches by 13 feet 4 inches?

Answers

Answer:

Step-by-step explanation:

To figure out how long it would take Fine Floors to install carpeting in a room that measures 11 feet 9 inches by 13 feet 4 inches, we first need to determine how many square yards of carpeting are needed for the room. We can start by converting the dimensions of the room from feet and inches to yards, since that's the unit of measurement we're working with.

To convert feet to yards, we divide by 3. For example, 11 feet is equal to 11/3 = 3.67 yards. To convert inches to yards, we divide by 36 (since there are 36 inches in a yard). For example, 9 inches is equal to 9/36 = 0.25 yards.

So the length of the room in yards is 3.67 + 0.25 = 3.92 yards, and the width of the room in yards is 13/3 + 4/36 = 4.33 + 0.11 = 4.44 yards.

To determine the total area of the room in square yards, we multiply the length and width: 3.92 * 4.44 = 17.38 square yards.

Now that we know how many square yards of carpeting are needed for the room, we can use that information to calculate how long it would take Fine Floors to install the carpeting. Since we know that Fine Floors can install 15 square yards of carpeting in 4 hours 30 minutes, we can use that as the ratio for our calculation.

To calculate how long it will take to install 17.38 square yards of carpeting, we use the proportion:

(15 sq. yards) / (4 hours 30 minutes) = (17.38 sq. yards) / (x hours)

Cross multiplying and solving for x, we find: x = (4 hours 30 minutes) * (17.38 sq. yards) / (15 sq. yards)

So it would take Fine Floors approximately 5 hours and 11 minutes to install carpeting in a room that measures 11 feet 9 inches by 13 feet 4 inches.

Using the info given, solve for the missing value of the right triangle. Round each angle to the nearest degree, each length to the nearest tenth, & each trigonometric value to four decimal places, if necessary.
Opposite side = 14 in.
Adjacent side = 22 in.
cos θ = ?

Answers

Answer
Since this is a right triangle, we can use the inverse cosine function to solve for the angle θ.

cos θ = Opposite side / Adjacent side

cos θ = 14 / 22

cos θ = 0.6363

θ = cos^-1 (0.6363)

θ ≈ 45.9°

We are asking everyone to focus on reducing their average transaction time by 10%. The average transaction time for this location is 6 minutes and 52 seconds."So we have to get the average transaction time down to __________."

Answers

Answer:

Step-by-step explanation:

The average transaction time of this location reduced to 371 seconds.

Could someone help answer this? Thanks!

The limit of a function y=f(x) at x=a is sometimes best understood as the approximate height of the function around x=a based on the values around x=a whereas the value of the function f at x=a is the exact height of the function at that point. Consider two functions 1) f(x)=x+1 and g(x)=(x^2-1)/(x-1). Answer the following questions. (a) Discuss the process of finding the limit x->1 f(x). (b) How does it differ from f(1)?

Answers

a) The process to find the limit is given as follows:

f(x): simply replace x by 1.g(x): factor and then replacing.

b) When a function does not have any discontinuity at x = 1, the procedure is the same as calculating f(1), however in the case of a discontinuity, such as for f(x), the discontinuity first has to be removed, if possible.

How to calculate the limit of a function?

The first step in calculating the limit of a function is calculating the numeric value of the function at the value of x which the function approaches.

Hence:

lim x -> 1 f(x) = 1 + 1 = 2.lim x -> 1 g(x) = (1² - 1)/(1 - 1) = 0/0.

For the case of g(x), there is a discontinuity, meaning that the function has to be factored to remove the discontinuity.

Applying the subtraction of perfect squares, we have that:

x² - 1 = (x - 1)(x + 1).

Then:

g(x) = (x - 1)(x + 1)/(x - 1) = x + 1.

Meaning that the limit is then calculated as follows:

lim x -> 1 g(x) = lim x->1 x + 1 = 1 + 1 = 2.

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Mr Paul has 4 bars of chocolate. He distributes 1/3
of each bar to 4 children.
a) Write the fraction of chocolate distributed.
b) Write the fraction of cholates left with Mr. Paul

Answers

a) The fraction of chocolate distributed is given as follows: 4/3.

b) The fraction of chocolates left with Paul is given as follows: 8/3.

How to obtain the fractions?

The fractions are obtained applying the proportions used in the context of this problem.

He distributes 1/3 of each bar to 4 children, hence the total number of bars distributed is given as follows:

4 x 1/3 = 4/3.

(multiplication of fractions, multiply the numerators and the denominators, keeping the quotient).

The total number of bars that Paul had initially is given as follows:

4 bars.

Then the fraction of chocolate remaining with Paul is given by the subtraction of the total amount of bars by the amount given to the children, as follows:

4 - 4/3 = 12/3 - 4/3 = 8/3 bars.

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please help it’s due in half an hour

Answers

Answer:

(a) They asked for one value of x

but I'll give you both

They're 2 and -2

(b)g(-1) = 4

Step-by-step explanation:

For (a) they're are looking for the value of x that is corresponding to 1 on the y axis

If you observe from your graph only -2 and 2 will have a corresponding value of 1 therefore they're the answers

for (b) Just look for the corresponding value of -1(x -axis) on the y axis which is 4

help with this math assignment pls

Answers

From the classification angles, it was possible to find the arcs:

UL=40, UY= 90, TY=50, YLE =270, LE=140 and UET=220.

UET

If UE= 180 and TE=40, you have:

UET=UE+TE

UET=180+40

UET=220

Classification Angles

They are a lot of classifications for angles like complementary angles, supplementary angles, right angles, and others. See below:

complementary angles - two angles whose sum is equal to 90°.supplementary angles - two angles whose sum is equal to 180°.right angles - angles whose measure is 90°.opposite angles - opposite angles consequently they are congruent.

The question gives mTE=40, and it asks:

UL

UL is opposite the arc TE, therefore its value is also 40.

UY

The figure shows a right angle, then UY is equal to 90.

TY

If UY is equal 90, YE is equal to 90 too, because they are supplementary. If YE=90 and TE=40, you have:

TE+TY=90

40+TY=90

TY=90-40

TY=50

YLE

YLE = YE+UE. The figure shows YE=90 and UE represents a semicircle (180). Thus,

YLE= 90+180=270

LE

If UE= 180 and UL=40, you have:

UE=UL+LE

180=40+LE

LE=180-40

LE=140

UET

If UE= 180 and TE=40, you have:

UET=UE+TE

UET=180+40

UET=220

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5.7935 rounded to the nearest thousand ​

Answers

Answer:

5.794

Step-by-step explanation:

The seven after the decimal point is the tenth digit, the nine is the hundredth, and the 3 is the thousandth place. Therefore, we look at our neighbor (the number next to the thousandth place) and if its 5 or more we round up, but if its 4 or less we keep it the same.

Which of these systems of equations has infinitely many solutions? Explain your choice(s).
a. (1/2)x - 5y = 10
(-1/2)x + 5y = -10
b. 7x + 2y = -14
-7x + 2y = -14
c. x + 6y = -18
x - 6y = 18
d. (3/4)x - 9y = 12
(-3/4)x + 9y = 12

Answers

The system of equations in C) x + 6y = -18 and x - 6y = 18 has infinitely many solutions.

To see this, you can solve for x in one of the equations and substitute that expression for x in the other equation. For example, if you solve for x in the second equation, you get:

x = 18 + 6y

Substituting this expression for x in the first equation gives:

(18 + 6y) + 6y = -18
24y = -36
y = -1.5

Substituting this value for y back into the expression for x gives:
x = 18 + 6y = 18 + 6(-1.5) = 18 - 9 = 9

So, one solution to the system of equations is (x, y) = (9, -1.5). However, since there is a variable on both sides of the equation, there are infinitely many solutions to this system of equations.

All of the other systems of equations have either no solutions or exactly one solution.

Toni runs around her school's baseball diamond. Each side is 27 m long. Note: A baseball diamond is square. How far does Toni run? m​

Answers

Answer:

If we assume she runs around it once and since they tell us its a square: 27x4=108

Step-by-step explanation:

What is the point of intersection when the system of equations below is graphed on the coordinate plane?



(1, –3)
(–1, 3)
(1, 3)
(–1, –3)

Answers

The point of intersection is (–3.5, 0.5) when the system of equations below is graphed on the coordinate plane.

What is the equation?

The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.

The system of equations below

-x + y = 4,

6x + y = -3

As per the given question, the required graph has been attached below.

The point of intersection when the system of equations is graphed on the coordinate plane is (–3.5, 0.5).

This is the point where the two lines cross each other.

Hence, the correct answer would be an option (D).

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The question seems to be incomplete the correct question would be:

What is the point of intersection when the system of equations below is graphed on the coordinate plane? -x+y=4, 6x+y= -3

A. (1, –3)

B. (–1, 3)

C. (1, 3)

D. (–3.5, 0.5)

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A sample of 12th grade students who took the National Assessment of Education Progress year 2000 mathematics test had a mean score of 250. What is the population How can matter be arranged, and how do we model the arrangement of matter? The monetary authority of The Stoddard Islands will exchange its currency for U.S. dollars at a one-for-one ratio. As a result, the exchange rate of the Stoddard Islands currency with the U.S. dollar is 1.00, and many businesses in the Islands will accept U.S. dollars in transactions. This exchange rate regime is best described as: A restaurant customer left $1.40 as a tip. The tax was 5% and the tip was 20% of the cost including tax. a. Which information is not needed to compute the bill after tax and tip? b. What was the total bill? african american lives Central idea from the passage What did Frederick Douglass do to fight for his main cause? Cite at least three details from the text about Frederick Douglasss actions to support your answer Circle of circumstances Helen delivers parcels on tuesday helen delivered 20% more parcels than on monday. On Wednesday, helen delivered 50% fewer parcels than on Tuesday. On Wednesday, helen delivered 72 parcelscalculate the number of parcels that helen delivered on monday Consider the following intermediate chemical equations. 3 equations. 1: upper C solid plus upper o subscript 2 gas right arrow upper C upper O subscript 2 gas Delta H 1 equals negative 393.5 kilojoules. 2: 2 upper C upper O gas plus upper O subscript 2 gas right arrow 2 upper C upper O subscript 2 gas Delta H 2 equals negative 566.0 kilojoules. 3: 2 upper H subscript 2 upper o gas right arrow 2 upper H subscript 2 gas plus upper O subscript 2 gas delta H 3 equals 483.6 kilojoules. The overall chemical equation is Upper C (s) plus upper H subscript 2 upper O (g) right arrow upper C upper o (g) plus upper H subscript 2 (g).. To calculate the final enthalpy of the overall chemical equation, which step must occur? answer this question for me. 20 POINTS TO WHOEVER GETS THIS RIGHT Elasticity differs from the slope as a measure of responsiveness to changes in prices because:a. elasticity changes depending on the currency prices are measured in, but this does not affect the slope.b. percentage changes do not depend on the units of measurement, whereas the slope does.c. elasticity is only useful for describing demand, but the slope is useful for describing demand and supply.d. the slope is always negative, while elasticity is not. Y=6 and x=-1 parallel or perpendicular line The enthalpy of solution of KBr in water is about 198 kJ/mol. Nevertheless, he solubility of KBr in water is relatively high. Why does the solution process occur even though it is endothermic? How did the Destroyers for Bases Agreement President of 1940 help Britain? Which of the following is not an aggregate function that can be applied in a total row?a. MAXb. AVERAGEc. COUNTd. VLOOKUP (PLS HELP, URGENT, IT'S DUE IN 12 MINUTES!!!!)Kara can run 3 miles in 25.5 minutes. At this rate, how long would it take her to run 2 miles? Diana's answer: If I subtract 1 mile from 3 miles, I get 2 miles, so if I subtract 1 minute from 25.5 minutes, I get 24.5 minutes. Kara takes 24.5 minutes to run 2 miles. Is Diana's answer correct? Explain pls! Adrian and Rory started comic book collections at the same time. Adrian started with 12 comic books and buys 4 more each month. Will they ever have the same number of comic books ? If so after how many months ? Use an equation to justify your answer Why were the Alien and Sedition Acts controversial?__________________________(please reply correctly I really need help!!__________________________1. They challenged free speech by making it illegal to speak out against the government.2. They challenged the freedom of religion by forcing citizens to adopt Christianity.3. They challenged immigration policies by allowing immigrants to vote before becoming citizens.4. They challenged the power of the federal government by giving more power to state governments. There is a bell on top of a tower that is 45 meters high. The bell has a mass of 20 kg. Calculate its potential energy.