For each equation in the table below, determine if the equation represents exponential growth or exponential decay. Select Growth or Decay for each equation.
Growth Decay
Equation
1. y = 500(0.30) G or D?
2. y = 500(1.70) G or D?
3. y = 0.3(500) G or D?
3. y=500(0.30) - 6 G or D?
4.y = 0.3(1.7)¹-2 G or D?
5. y = 500(0.30)+2 G or D?
6. y = 500(0.30)-6 G or D?

Answers

Answer 1

The expression are classified as follows

1. Decay

2. Growth

3. Growth

3.  Decay

4. Growth

5. Decay

6. Decay

How to determine growth or decay function

Exponential function refers to functions of the form

f(x) = a(b)^x

where

the starting = a

the base = b

the exponents = x

The base is what determines exponential growth or decay

when the base is greater than 1 we have exponential growth

when the base is 0 < x < 1 we have exponential decay

comparing the base of the functions shows that

1. y = 500(0.30)  decay

2. y = 500(1.70) growth

3. y = 0.3(500) growth

3. y=500(0.30) - 6  decay

4.y = 0.3(1.7)¹-2 growth

5. y = 500(0.30)+2 decay

6. y = 500(0.30)-6  decay

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Related Questions

Calculate the interest earned when $46 230 is invested for 9 years at 7.8% p.a., with interest compounded twice a year.​

Answers

Given:

What is the interest earned when $46,230 is invested for 9 years at 7.8% p.a?

To find:

The interest

Solution:

[tex]interest = \frac{p \times r \times t}{100} [/tex]let the interest be x. [tex]x = \frac{46230 \times 9 \times 7.8}{100} [/tex][tex]x = 32456.46[/tex]But the interest is compounded twice a year so,

[tex]32456.46 \times 2 \times 9[/tex][tex] = 64912.92 \times 9[/tex][tex] = 584216.28[/tex]therefore, the final answer is 584,216.28

e) Solve: f(x) = g(x) for x = [-240°; 240°]​

Answers

Answer:

218.88

Step-by-step explanation:

For each relationship described, type an equation using the variables y and z to create an identity. a. addition and subtraction: b. multiplication and division: (when y 0 or when z = 0)​

Answers

Step-by-step explanation:

addition and subtraction:

y + z - z = y

b. multiplication and division:

When y ≠ 0:

yz / y = z

When z ≠ 0:

y / z * z = y

The surface area of a rectangular prism is 250 cm 2. If its height is 10 centimeters, and its width is 5 centimeters, what is its volume?

Answers

The volume of the rectangular prism whose surface area is 250 cm square is 250cubic centimeters.

The surface area of a rectanular prism is calculates by the formula

= 2( length*width + length*height + width*height ) square units

Let the length of the given prism be l centimeters.

Given, width is 5 centimeters and height is 10 centimeters of the rectangular prism.

The surface area of the rectangular prism is 250 cm square.

Thus by the above formula,

250 = 2 ( l*5 + l*10 +10*5)

⇒250 = 2 (15*l +50)

⇒ 250= 30*l + 100

⇒ 150 = 30*l

⇒l = 150/30 = 5 (centimeters)

Thus the volume of the given rectangular prism is calculated as

= ( length*width*height) cubic units

= (5*5*10) cubic centimeters

= 250 cubic centimeters

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What is the solution to this equation?
9 ^x- 1 = 2
O A. 1
O B. 2
O C.
1/2
OD. -1/2

Answers

The solution to this equation 9ˣ - 1 = 2 is 1/2.

The correct option is A.

What is an equation?

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

Given:

An equation:

9ˣ - 1 = 2

Simplifying,

9ˣ  = 3

3²ˣ = 3

Comparing, we get,

2x = 1

x = 1/2

Therefore, the solution is x = 1/2.

NEED HELP DUE FRIDAY!!!!!!!!!!!
Find cos(A), sin(A), and tan(A) for triangle ABC.

Answers

Answer:

It’s a right triangle

Step-by-step explanation:

15 squared plus 8 squared equals 17 squared which 289=289

Use the commutative or associative property to simplify the expression. (1)/(13)(13y)

Answers

The simplified expression of (1)/(13)(13y)  is 169y.

To simplify the expression (1)/(13)(13y) using the commutative or associative property, we can rearrange the terms and group them together.

Using the commutative property, we can rearrange the terms so that the two 13's are next to each other:

(1)(13)(13y) = (13)(13y)(1)

Now, using the associative property, we can group the two 13's together and simplify:

(13)(13y)(1) = (13*13)(y)(1) = (169)(y)(1)

Finally, we can simplify further by multiplying the 169 and 1 together:

(169)(y)(1) = (169y)(1) = 169y

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extra points for help (dont guess please)

Answers

The exponential functions y=1.2ˣ  shows exponential growth and y=0.71ˣ shows exponential decay.

What exactly are exponential functions?

Exponential functions are functions that involve a variable exponent. They are of the form f(x) = aˣ, where "a" is a positive constant base and "x" is the variable exponent.

Exponential functions exhibit rapid growth or decay, depending on the value of "a" and the sign of "x". For example, if "a" is greater than 1, the function grows rapidly as "x" increases, while if "a" is between 0 and 1, the function decays rapidly as "x" increases.

Now,

As stated above that for exponential function y=aˣ

when a>1 it shows exponential growth

and when a<1 it shows decay.

hence,

          The exponential functions y=1.2ˣ  shows exponential growth and y=0.71ˣ shows exponential decay.

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Graph the inequality y+4<-2(x-4) on the set of axes below

Answers

Answer:

y < 2x + 4

Step-by-step explanation:

y+4<-2(x-4)

y + 4 < -2x +8

y < 2x + 4

the form Q+bar (D) where the degree of R is less than the degree of (c^(3)+2c^(2)-5c-2)/(c^(2)+c-4)

Answers

In this expression, Q+bar (D) is a polynomial, and we are asked to compare the degree of R with that of the polynomial (c^(3)+2c^(2)-5c-2)/(c^(2)+c-4).

The degree of a polynomial is determined by the highest power of the variable. The highest power of c in (c^(3)+2c^(2)-5c-2)/(c^(2)+c-4) is 3, so this polynomial has a degree of 3.

To compare it to the degree of R, we need to know the highest power of R in our expression. If the degree of R is less than the degree of (c^(3)+2c^(2)-5c-2)/(c^(2)+c-4), then the expression Q+bar (D) will have a degree of 3.

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Use an appropriate infinite series method about x = 0 to find two solutions of the given differential equation. (Enter the first four nonzero terms for each linearly independent solution, if there are fewer than four nonzero terms then enter all terms. In each case, the first term has been provided for you. )

3xy" y+y=0

Y₁ = 1 -

12 = x2/3

Answers

The two linearly independent solutions are y₁(x) = 1 - (x²/3) + (x⁴/81) - (x⁶/2187) + … and y₂(x) = x - (x³/9) + (x⁵/405) - (x⁷/21870) + ...

We can use the power series method to find the two solutions of the given differential equation:

Let y = ∑anxn be a power series solution. Then, we have:

y' = ∑nanxn-1

y'' = ∑nan(n-1)xn-2

Substituting these into the differential equation and equating coefficients of like powers of x, we get:

3x∑nan(n-1)xn-1 + ∑anxn = 0

Simplifying, we obtain:

∑[3nan(n-1) + an-1]xn = 0

Since x ≠ 0, the coefficients of like powers of x must be zero. This gives us the recurrence relation:

an = -an-1/(3n(n-1)), n ≥ 1

Using this recurrence relation and the initial condition y(0) = 1, we can find the power series solution:

y₁(x) = 1 - (x²/3) + (x⁴/81) - (x⁶/2187) + ...

To find a second linearly independent solution, we can use the method of reduction of order. Let y₂(x) = v(x)y₁(x). Then, we have:

y₂' = v'y₁ + vy₁'

y₂'' = v''y₁ + 2v'y₁' + vy₁''

Substituting these into the differential equation and simplifying, we get:

v''y1x + (2v'y1' + vy1'')x + 3vy1 = 0

Since y₁(x) is a solution, we have:

y₁'' + (1/3x)y₁ = 0

Multiplying by y1 and integrating, we obtain:

(y₁')² + y₁²/3 = C

where C is a constant of integration. Using the initial condition y₂(0) = 0, we can find the second solution:

y₂(x) = x - (x³/9) + (x⁵/405) - (x⁷/21870) + ...

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Please note that for 1 pound of bananas the cost is
$0.63/lb
(according to the US Bureau of Labor Statistics.) In 1939 , the cost of bananas was
14%
lower. Pam buys 5 pounds of bananas for children at the camp she works for. What would these bananas have cost in 1939?

Answers

The cost of 5 pounds of bananas in 1939 would have been $2.709.

According to the US Bureau of Labor Statistics, the cost of 1 pound of bananas is $0.63/lb. In 1939, the cost of bananas was 14% lower. Therefore, to find the cost of bananas in 1939, we need to calculate 14% of $0.63/lb and then subtract it from $0.63/lb.

Calculate 14% of $0.63/lb
0.14 * $0.63/lb = $0.0882/lb

Subtract $0.0882/lb from $0.63/lb to get the cost of bananas in 1939
$0.63/lb - $0.0882/lb = $0.5418/lb

Multiply the cost of bananas in 1939 by the number of pounds Pam buys
$0.5418/lb * 5 lb = $2.709

Therefore, the cost of 5 pounds of bananas in 1939 would have been $2.709.

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On a certain day, the temperature of the pool was 76°F at 10 A.M. and 91°F at 1 P.M. If the temperature rose at a constant rate from 10 A.M. to 1P.M. on that day, what was the temperature at 11 A.M.? a. 79°F d. 89°F b. 81°F e. 90°F c. 86°F

Answers

The correct answer is b. 81°F.

On a certain day, the temperature of the pool rose at a constant rate from 76°F at 10 A.M. to 91°F at 1 P.M. To find the temperature at 11 A.M., we need to find the rate of change in temperature and then use it to calculate the temperature at 11 A.M.

The rate of change in temperature can be found by dividing the difference in temperature by the difference in time:

Rate of change = (91°F - 76°F) / (1 P.M. - 10 A.M.) = 15°F / 3 hours = 5°F per hour

Now, we can use this rate of change to find the temperature at 11 A.M.:

Temperature at 11 A.M. = 76°F + (5°F per hour)(1 hour) = 81°F

Therefore, the correct answer is b. 81°F.

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Use a calculator to find the trigonometric value to 4 decimal places. sin 14° = __________

Answers

The trigonometric value of sin 14° to 4 decimal places is sin 14° = 0.241.

Step 1: Enter the value of 14 into the calculatorStep 2: Press the sin button on the calculatorStep 3: The calculator will display the value of sin 14°Step 4: Round the value to 4 decimal places


The value of sin 14° to 4 decimal places is 0.2419.

What are angles?

An angle is the measure that determines two straight lines, which when joined together create a point of origin, which is called the vertex of the angle.

The unit of measurement associated with angles is degrees.

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Ina makes cakes in a pan shaped like a rectangular prism. The base of the pan is an 8-inch by 12-inch rectangle, and the volume of the pan is 288 cubic inches. Find the surface area of a cheesecake baked in this pan

Answers

Answer:

312 square inches

Step-by-step explanation:

To find the surface area of a cake baked in a rectangular pan with an 8-inch by 12-inch base and a volume of 288 cubic inches, we need to find the dimensions of the pan. We can do this by dividing the volume by the area of the base, which gives us the height of the pan. Once we know the height, we can use the dimensions of the base and the height to find the surface area of the cake.

Work the problem using the three-step method. Show your work.
The sum of three consecutive integers is 18. Find the integers.
WRITER

Answers

Answer:

5,6 and 7.

Step-by-step explanation:

I am not sure what the three step method is, but here is how I solved it.

Consecutive integers means integers in a row.  For example, 5,6 7 are consecutive integers or -4,-3,-2 are consecutive integers.

Integers are all the whole numbers (0,1,2,3...) and their opposites (..., -3, -2, -1)  1/2 or -.23 are not integers.

Let x = the first number

Let x + 1 = the second number

Let x + 2 = the third number

x + (x + 1) + (x + 2) = 18  I do not need the parentheses, but I want you to see that  the first number, plus the second number, plus the third number equals 18.

x + x + 1 + x + 2  = 18  Combine like terms

3x + 3 = 18  Subtract 3 from both sides of the equation

3x + 3 - 3 = 18 - 3

3x = 15  Divide both sides by 3

[tex]\frac{3x}{3}[/tex] = [tex]\frac{15}{3}[/tex]

x = 5

The first number is 5.  The second number is 6 and the last number is 7.

Check:

5 + 6 + 7 = 18

18 =18 Checks.

Helping in the name of Jesus.

Practice and Problem S Subtract using the vertical form. 1. (5g^(2)+6g-10)-(2g^(2)+2g+9)

Answers

(5g^(2)+6g-10)-(2g^(2)+2g+9) = 3g^(2) + 4g - 19



To subtract the two polynomials, we will use the vertical form. This means that we will line up the like terms and subtract them.

Step 1: Line up the like terms in the vertical form.

5g^(2) + 6g - 10

- (2g^(2) + 2g + 9)

Step 2: Distribute the negative sign to each term in the second polynomial.

5g^(2) + 6g - 10

- 2g^(2) - 2g - 9

Step 3: Subtract the like terms.

5g^(2) - 2g^(2) = 3g^(2)

6g - 2g = 4g

-10 - 9 = -19

Step 4: Write the final answer.

3g^(2) + 4g - 19

Therefore, the answer is 3g^(2) + 4g - 19.

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How to express a two logarithm into a single logarithm

Answers

Answer:

There are different methods to express a two logarithm into a single logarithm, depending on the specific form of the logarithms involved. Here are some examples:

Logarithms with the same base:

If you have two logarithms with the same base, you can use the following logarithmic identity:

log_a(x) + log_a(y) = log_a(xy)

Using this identity, you can express a sum or difference of logarithms with the same base as a single logarithm:

Example 1: log_2(3) + log_2(5) = log_2(3*5) = log_2(15)

Example 2: log_5(7) - log_5(2) = log_5(7/2)

Logarithms with different bases:

If you have two logarithms with different bases, you can use the following change of base formula to express them with a common base:

log_a(x) = log_b(x) / log_b(a)

Using this formula, you can rewrite a logarithm with a base a as a logarithm with a base b:

Example 1: log_2(7) = log_10(7) / log_10(2)

Example 2: log_5(2) = log_2(2) / log_2(5)

Once you have expressed both logarithms with the same base, you can apply the logarithmic identity from method 1 to simplify them into a single logarithm.

Find the values of x and y
. Write your answer in
simplest form.
X
45°
X =
y =
y
16
&

Answers

Answer:

X: 45° Y:16°

Step-by-step explanation:

by help of teacher

Find the minimum and maximum of P=4x+2y subject to 3x+5y>=20 3x+y<=16 -2x+y<=2 x>=0,y>=0

Answers

The minimum of P is 16 and the maximum of P is 24.


Calculating the value of P for these points, we get:


P(2,6) = 4*2 + 2*6 = 20


P(0,8) = 4*0 + 2*8 = 16


P(4,2) = 4*4 + 2*2 = 24


P(3,3) = 4*3 + 2*3 = 18


Therefore, the minimum of P is 16 and the maximum of P is 24.

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Three friends, Martin, Tyreese, and Braydon, are collecting donations to help in their community's clean-up initiative. Their total contribution goal is represented by the expression 7x2 − 4xy + 8. The friends have already collected the following amounts:

Martin: 5xy + 16

Tyreese: x2

Braydon: 4x2 − 7

Which expression represents the amount of money the friends still need to collect to meet their goal?

2x2 − 9xy − 1
2x2 + xy + 17
5x2 + 5xy + 9
12x2 + xy + 17

Answers

2x2 - 9xy - 1 is the expression for how much money the buddies still need to gather to reach their objective.

What exactly is a phrase?

A mathematical expression is made up of a statement, at least two integers or variables, and one or more arithmetic operations. This mathematical procedure makes it possible to multiply, divide, add, or subtract quantities.

The total of what they have already raised towards the overall fundraising target.

The total contribution goal is given as: 7x² - 4xy + 8

The amount Martin has already collected is: 5xy + 16

The amount Tyreese has already collected is: x²

The amount Braydon has already collected is: 4x² - 7

Adding the amounts already collected:

= (5xy + 16) + x² + (4x² - 7)

= 5xy + x² + 4x² + 16 - 7

= 5xy + 5x² + 9

By deducting the total of the contributions from the overall contribution target:

= (7x² - 4xy + 8) - (5xy + 5x² + 9)

= 2x² - 9xy - 1

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Answer: A

Step-by-step explanation: i wish other people would just put the letter, but here ya go c:

what is the ratio of 2:35

Answers

Answer:

2:35

Step-by-step explanation:

when flying on an air plane the weight limit for carry on luggage is 30 pounds there are approximately 453.6 grams in 1 pound which measurement is closet to the weight of the checked luggage in grams

Answers

Answer:

Step-by-step explanation:

30x453.6=13608 grams

point (s) possible Find the LCD (least common denominator ) of the set of fractions. Do not combine the fractions; only find the LCD. (7)/(20) and (9)/(40)

Answers

The answer are LCD (least common denominator) of the set of fractions (7)/(20) and (9)/(40) is 40.

Here is a step-by-step explanation on how to find the LCD:

1. Find the multiples of each denominator.

- Multiples of 20: 20, 40, 60, 80, 100, 120, 140, 160, 180, 200...

- Multiples of 40: 40, 80, 120, 160, 200, 240, 280, 320, 360, 400...

2. Compare the multiples of each denominator and find the smallest number that appears in both lists.

- The smallest number that appears in both lists is 40.

3. The smallest number that appears in both lists is the LCD.

- Therefore, the LCD of the set of fractions (7)/(20) and (9)/(40) is 40.

So the answer to the question "Find the LCD (least common denominator) of the set of fractions. Do not combine the fractions; only find the LCD. (7)/(20) and (9)/(40)" is 40.

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In Exercises 11-14|, use a matrix equation to solve the system of linear equations. \( 11\left\{\begin{array}{r}x+2 y=3 \\ 2 x+6 y=5\end{array}\right. \)

Answers

 x = 4/3 and y = 2/3


To solve this system of linear equations using a matrix equation, we first need to construct a matrix by writing the coefficients of the variables and the constants from the equation in a rectangular array.

The matrix for the given equations will be:

| x  |  y | = | 3 |
| 2  |  6 |   | 5 |



Now, we can solve the system by multiplying the inverse of the matrix of coefficients with the matrix of constants. To find the inverse of the matrix, we can use the following equation:

A-1 = 1/|A| * adj(A)



where |A| is the determinant of the matrix, and adj(A) is the adjoint of the matrix.

We can use this equation to find the inverse of the matrix, which is:

| x  |  y |-1 = 1/12 * |  6  |  -2 |
                              | -2  |  1  |



We can then multiply this inverse by the matrix of constants to get the solution for the system:

| x | = (1/12)*(18 - 10) = 4/3
| y |   (6 - 4)            = 2/3



Therefore, the solution for the system is x = 4/3 and y = 2/3.

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Question 3 of 12 , Step 1 of 1 Find three consecutive integers whose sum is 360.

Answers

The three consecutive integers whose sum is 360 are 119, 120, and 121.

To find three consecutive integers whose sum is 360, we can use algebra to set up an equation and solve for the first integer. Let x be the first integer, then the next two consecutive integers will be x+1 and x+2. The sum of these three integers is 360, so we can write the equation:

x + (x+1) + (x+2) = 360

Simplifying the equation gives us:

3x + 3 = 360

Subtracting 3 from both sides gives us:

3x = 357

Dividing both sides by 3 gives us:

x = 119

So the first integer is 119. The next two consecutive integers are 120 and 121. Therefore, the three consecutive integers whose sum is 360 are 119, 120, and 121.

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Designing an Addition A 40-ft-wide house has a roof with a
6-12 pitch (the roof rises 6 ft for a run of 12 ft). The owner plans a 14-ft-wide addition that will have a 3-12 pitch to its roof. Find the lengths of AB and BC in the accompanying figure.

Answers

We can conclude that the measure of length AB is 23.46 ft and the measure of length BC is 9 ft.

What is sine formula in trigonometry?

Sine formula is used to calculate the sine angle of a right-angled triangle which is the ratio of the opposite side and the hypotenuse.

Given is that a 40-ft-wide house has a roof with a 6-12 pitch (the roof

rises 6 ft for a run of 12 ft). The owner plans a 14-ft-wide addition that will

have a 3-12 pitch to its roof.

We can write the measure of length AB as -

AB = 6 + √(9 + 296)

AB = 6 + 17.46

AB = 23.46 ft

We can write the measure of length BC as -

BC = 6 + 1/4 x 12

BC = 6 + 3

BC = 9 ft

Therefore, we can conclude that the measure of length AB is 23.46 ft and the measure of length BC is 9 ft.

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23
b. Complete the double number line diagram that represents the situation.
Photos
0
0
Minutes!
:: 1
7
2
4
:: 4
:: 6
1
#15
21
8
3
28
:: 9
80
#20
# 10
35
12
:: 14


PLEASE HELP I NEEEDA LIKE FINISH IT RN HELP

Answers

Answer:

10mins for 35 photos

Step-by-step explanation:

If it takes 8mins to produce 28photos, that is ratio 1:3.5

For 7 photos, divide by 3.5, that is 2mins

For 4mins, multiply by 3.5, that will be 14photos

For 21 photos, divide by 3.5, that will be 6 mins

Mrs.may mixed 4 gal of red paint with every 6 gal of blue paint in order to make purple paint. which ratio of gallons of red paint to gallons of blue pint will make the same shade of purple paint?

Answers

Answer: 20 gallons of red paint and 30 gallons blue paint

Step-by-step explanation:

Find the measure of pkt​

Answers

Answer:

  32°

Step-by-step explanation:

You want the measure of the smaller angle of the linear pair marked (3g+23) and (7g+127).

Linear pair

The angles of a linear pair total 180°, so we have ...

  (3g +23) +(7g +127) = 180

  10g = 30 . . . . . . . . . subtract 150

  g = 3 . . . . . . . . . divide by 10

The smaller angle is ...

  ∠PKT = (3·3 +23)°

  ∠PKT = 32°

Other Questions
4Al + 3O2 -> 2Al203How many moles of aluminum oxide can be produced from 24 grams of oxygen gas? The list below shows the number of books returned to a library during each of 10 weeks393, 393, 496, 400, 458, 482, 491, 511, 507, 509Which two measures of these data best describe the typical number of books that werereturned to the library each week?A Mean and medianB Mean and rangeC Mode and medianD Mode and range Describe the distributional and allocative efficiencyimplications if Howard Buffett ( Farmer A) had Take-It-Or-Leave-Itpower compared to Tony Perich ( Farmer B) having First-MoverAdvantage. find the percent of the number. explain your method 20% of 50 What was the rhetorical situation of Churchhills speech? The value of business personal property at Kim's business fluctuates periodically, which is due largely to fluctuations in the value of inventory on hand. Kim's property insurance policy requires the periodic reporting of business personal property. The limit of insurance is $500,000. Kim believes she can save money by underreporting the value of inventory. Last period, she reported only $200,000 when the actual value was $400,000. Shortly after filing the last report the value of the inventory increased to $500.000 The inventory was totally destroyed when a fire occurred. Ignoring any deductible, what is the amount that Kim's insurer will pay? All items produced in a factory are checked for defects. of the 300 items checked 3% more found to be defective. how many at the items check to work correctly? Brimstone offers to buy Phoenixs property under the following terms and conditions:P5 million purchase price;10% "option money";balance payable in cash upon the clearance of theproperty of all illegal occupants.As agreed, Brimstone promptly paid the "option money" and Phoenix cleared thesubject property from illegal occupants.When Brimstone is to pay the balance and ask Phoenix to execute a deed of absolutesale, Phoenix had a change of heart, saying that the deal is disadvantageous tohim as he found out that the property is three (3) times higher than the agreedpurchase price.Brimstone sued Phoenix for specific performance. In response, Phoenix claims that Brimstonemerely gave him an option to buy and nothing more, and offers to return theoption money which Brimstone refuses to accept.Who is correct? Explain. Please include the applicable articles. The length of two side of a triangle are 3cm and 4cm and the angle included between these sides is 30. Find the areas of he triangle What behaviours do humans use to find food, parent their offspring, and court each other? Assessment Math R. 14 Multiply using the distributive p Simplify the expression: (2w-5)(-7) Select the correct answer.Which composer created the famous opera Don Giovanni?O A. Haydn . BeethovenO C. MozartO D. Bach what is the role of grasses in the food web above Making Observations: To determine the mode of transmission (dominant or recessive), make observations andassign possible genotypes below each symbol. Carriers are not shaded!Claim: This trait appears to be(dominant or recessive)Evidence: (what specific places on the diagram helped to make this claim?)Reasoning: The evidence supports my claim because Triangle NMO is drawn with vertices N(4, 2), M(1, 1), O(4 , 5). Determine the image coordinates of NMO if the preimage is translated 3 units to the left. N(7, 2), M(4, 1), O(7, 5) N(4, 5), M(1, 4), O(4, 8) N(4, 1), M(1, 2), O(4, 2) N(1, 2), M(2, 1), O (1, 5) if you can do this i would appreciate if you could awnser this pls C^(2):+3=0 The concession stand made 20 cups of hot chocolate with marshmallows and 15 cups without marshmallows. They also made 17 cups of coffee. How many fewer cups of coffee did they make than cup g(t)= 200(1.12)^t For each function below, enter the percent rate of change per unit, t. Round to the nearest tenth of a percent. Part BInterest can be calculated on money invested and money borrowed. Based on her four options, in which account shouldBrianna choose to invest her summer earnings?Use your answers from Part A to justify your response. Explain your reasoning using complete sentences. Find and calculate the heat released using the following equation.Q = (451 g)(4.18 J/(gC)(18 degrees)q = mCTm mass of water in grams (g)C specific heat capacity, in this case of liquid water [4.18 J/(g-C)]; a subscript may be added to C to note the type of fluidT temperature change of the water (C)(I've gathered the data for the equation, I just need help solving it if anyone would be nice enough to lend a quick hand with it. Thank you in advance.)