If f(x) = 4x + 5, determine the value of f(−3) .

Answers

Answer 1

Answer:

F(x)= -7

Step-by-step explanation:

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

F(-3)=  - 12 + 5

F(x)= -7

Hope this helps

Answer 2

Answer:

f(-3)= -7

Step-by-step explanation:

To solve this problem, we want to find out what f(x) or y is, when x is equal to -3.

f(x)=4x+5

Therefore, we can substitute -3 in for x.

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

Now, solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition and Subtraction

Multiply 4 and -3

f(-3)=-12+5

Add -12 and 5

f(-3)= -7


Related Questions

Need help with this problem! ASAP!

Answers

Answer: B .128 in^3

Step-by-step explanation:

The question is asking for the volume of the figure  so multiply the length times the width times the height.

v= 8.2 * 4 * 3.9

v= 127.92 which rounds  to 128.

3 s (4 + 6) 2 is an example of

Answers

Answer:

It's an example of an numerical expression

Answer:

It's an example of an numerical expression

If there are answer choices, check if this one is on there!

If not, doggo sucks :(

Plz help!!! 40 points. The graph of a line relates the volume as measured in gallons with its approximate equivalent volume measured in liters. Two
points on the line are (0, 0) and (5, 19) where the value of x is the volume in gallons and the value of y is the approximate
volume in liters
According to the graph of the line, 12 gallons is equivalent to approximately how many liters?
O 3 liters
0 4 liters
46 liters
O 60 liters

Answers

Ahh i hope im in time to help!

The answer is C, 46

Hope this helped pls mark be brainliest!!!

You inherited land that was purchased for $30,000 in 1960. The value of the land increases by approximately 5% per year. What will be the approximate value of the land 61 years later in 2021? * 1 point

Answers

Answer:

$121,500

Step-by-step explanation:

If the value increases by 5% every year, then in 61 years  it will increase by

5% * 61 years = 305%

301% of %30,000  is $91,500

$(30,000 + 91,500)

= $121,500

evaluate h-2g for h = 4 and g =32

Answers

Answer:

60

Step-by-step explanation:

To solve the answer, we must subsutute h for 4 and g for 32 and solve like shown:

[tex]4-(2)(32)\\4-64\\60[/tex]

Answer:

Step-by-step explanation:

h=4

g=32

2*32=64

h-2g= -60

Solve each equation (steps as to how appreciated)

Answers

Answer:

{0}

Step-by-step explanation:

|n/6| + 1 = 1

Subtract 1 from each side

|n/6| + 1-1 = 1-1

|n/6| =0

Since this is equal to zero what is inside the absolute value must equal zero

n/6 =0

n =0

Answer:

B) {0}

Step-by-step explanation:

Let's go step by step

|n/6| + 1 = 1

First step is to subtract 1 from both sides:

|n/6| = 0

Now, we can multiply both sides by 6:

n = 0

Hope this helps :)

Drag the correct tiles to the boxes. Each tile can be used more than once.
Match each scenario to the type of relationship it represents.
Linear
Exponential
Quadratic
In a shotput competition anything with a shock from a height of 6 feet the shower because a maximum height of 9 feet after covering a distance of 29 fee the total distance covered by the shot is 58 feet Time years 01234 number of pigs on the form 30 9 200 7 81 2430. The government plans to decrease the number of automobiles imported from a certain country by 10% each year. Ronald is descending from the 50th floor anyway elevator the elevator moves up or down eight floors per minute. Time second 02468 height of a toy jet feet 5 101310 five

Answers

Answer:

Step-by-step explanation:

question is attached

Answers

Answer:

31

Step-by-step explanation:

The two angles are equal so

8x-1 = 5x+11

Subtract 5x from each side

8x-5x-1 = 5x-5x+11

3x -1 =11

Add 1 to each side

3x -1+1 = 11+1

3x = 12

Divide by 3

3x/3 = 12/3

x= 4

We want to find

WZY

WZY = 5x+11

        = 5(4)+11

       =20+11

      =31

Maria gathered the data in the table. She finds the line of best fit to be y = 2.78x – 4.4. A 2-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled y with entries negative 2, 1.3, 4.2, 7.3, 8.9. What is the residual value when x = 4?

Answers

Answer:

The residual value when x = 4 is 0.58

Step-by-step explanation:

The residual value of a fitted function is the difference between the actual value of the data for a given input and the result of the fitted function. On this problem for the actual values, when [tex]x = 4[/tex] we have [tex]y_{data} = 7.3[/tex] , although, for the fitted function on the same value of "x", we have a different value, which is calculated below:

[tex]y(4) = 2.78*4 - 4.4 = 6.72[/tex]

The residual value is:

[tex]\text{residual value} = y_{data} - y_{function} = 7.3 - 6.72 = 0.58[/tex]

The residual value when x = 4 is 0.58

Functions are written in terms of variables.  The residual value when the value of x is 4 is 0.58

Table and values

Functions are written in terms of variables. Given the following function that represent the data in the table

y = 2.78x – 4.4

If the value of x is 4, the corresponding value of y is expressed as:

y = 2.78(4) – 4.4

y = 11.12 - 4.4

y = 6.72

Determine the residual value

Residual value = 7.3 - 6.72

Residual value = 0.58

Hence the residual value when the value of x is 4 is 0.58

Learn more on line of best fit here; https://brainly.com/question/1518824

#SPJ2

how can you tell what radius is

Answers

Answer:

The radius is a line going from the center to the side of the the circle

Answer:

The radius of a circle is the length of the line from the center to any point on its edge. (basically its half a line going through a 180° circle)

Step-by-step explanation:

a straight line extending from the center of a circle or sphere to the circumference or surface: The radius of a circle is half the diameter.

heres an example of what a radius looks like:

hope this helped!

in a box of chocolates, 1/5 of the chocolates contain nuts. the rest of the chocolates do not contain nuts. write down the ratio of the number of chocolates that contain nuts to the number of chocolates that do not contain nuts. give your answer in the form 1:n

Answers

Answer:

The ratio of the number of chocolates that contain nuts to the number of chocolates = 1:4

Step-by-step explanation:

The parameters given are;

Proportion of the box of chocolates that contain nuts = 1/5

Proportion of the box of chocolates that do not contain nuts = 1 - 1/5 = 4/5

Therefore, we have in a box of chocolates with five chocolates;

The number of chocolates that contain nuts = 1

The number of chocolates that do not contain nuts = 4

Which gives the ratio of the number of chocolates that contain nuts to the number of chocolates as 1:4.

Kiley found $8.75 in nickels and quarters in the cabinet above the washing machine. Let x represent the number of nickels
she found and y represent the number of quarters. Which equation written in standard form represents the amount of
money she found, and what does its y-intercept represent?
O The equation in standard form is 0.05x + 0.25y = 8.75; the y-intercept represents that if she found 0 nickels, she must
have found 175 quarters.
The equation in standard form is 0.05x + 0.25y = 8.75; the y-intercept represents that if she found 0 nickels, she must
have found 35 quarters.
The equation in standard form is x + 5y =175; the y-intercept represents that if she found 0 nickels, she must have found
175 quarters.
The equation in standard form is x + 5y =175; the y-intercept represents that if she found 0 nickels, she must have found
35 quarters.

Answers

Answer:

0.05x+0.25y=8.75; the y intercept represents that if she found 0 nickels she must have found 35 quarters.

Step-by-step explanation:

1. Solve for y:

0.25y= 8.75-0.05x (subtract 0.05x on both sides)

y= (8.75-0.05x)/0.25 (divide by 0.25 on both sides)

2. Since the y intercept can be found when x equals 0, plug in 0 for x into the equation.

y=(8.75-0.05(0))/0.25

y= 8.75/0.25

y=35

Please answer correctly !!!!!!!!! Will mark brainliest !!!!!!!!!!!

Answers

Answer: no solutions

Step-by-step explanation:

There is no solutions because

the lines don't cross each other

Hope this helps :)

Answer:

no solutions

Step-by-step explanation:

4x - 6y = -24

2x - 3y = -6

Multiply the second equation by -2

-4x +6y = 12

Add this to the first equation

4x - 6y = -24

-4x +6y = 12

------------------------

0 = -12

This is never true so there are no solutions

A square has a side length of 4a. One dimension is decreased by 5 and the other dimension is decreased by 5. Expand and simplify the expression that represents the area of the resulting rectangle

Answers

Answer:

[tex]Area= 16a^2-40a+25[/tex]

Step-by-step explanation:

given that the side of the square is 4a

The expression for the area can be solved by

1. subtracting 5 from the sides of the square i.e (4a-5)

2. Solving for the area of the square using

[tex]Area= l^2[/tex]

[tex]Area= (4a-5)^2\\Area= (4a-5)(4a-5)\\[/tex]

opening the bracket and expending we have

[tex]Area= 16a^2-20a-20a+25\\Area= 16a^2-40a+25[/tex]

the expression is [tex]Area= 16a^2-40a+25[/tex]

Ashley can ride her bicycle 15 miles in 2 hours. Ther are 60 minutes in 1 hour and there are 1,760 yard in 1 mile. How many yards does Ashley travel each minute ?

Answers

Answer:

440

Step-by-step explanation:

Answer:440

Step-by-step explanation:

Find the zeros of f(x)=(x-3)^2-49 algebraically

Answers

Answer:

x = 10,-4

Step-by-step explanation:

(x-3)^2 -49 = (x-3-7)(x-3+7)

= (x-10)(x+4)

The zeros of f(x) are 10 ,-4

What is Expansion?An expansion of a product of sums expresses it as a sum of products by using the fact that multiplication distributes over addition

How to Solve this Problem?

This problem can be solved by following steps

The given equation is equal to zero Expand (x-3)^2Split the middle termTake the common factors And find out the zeros of the equation

[tex]f(x)=0\\(x-3)^{2}-49=0\\ x^{2} -6x-40=0\\x^{2} -10x+4x-40=0\\x(x-10)+4(x-10)\\(x-10)(x+4)\\x = 10 , -4[/tex]

Hence the zeroes are 10 and -4

Learn more about zeroes here

https://brainly.com/question/10629698

#SPJ2

This recipe makes 15 cupcakes. Luke only wants to make 12 cupcakes. How much of each ingredient does he need? Recipe: Makes 15 cupcakes 12 ounces butter 10 ounces sugar 15 ounces flour 5 eggs I need the answer quickly please :)

Answers

Answer:

9.6 ounces butter

8 ounces sugar

12 ounces flour

4 eggs

Step-by-step explanation:

I'm going to write them down so it's easier for me to look at.

12 ounces butter

10 ounces sugar

15 ounces flour

5 eggs

Now make a ratio: 12 : 15 = 4 : 5

Apply this to all of the ingredients.

12 * 0.8 = 9.6

10 * 0.8 = 8

15 * 0.8 = 12

5 * 0.8 = 4

Answer:

Below in bold.

Step-by-step explanation:

12 is  12/15 = 4/5 of 15 so you multiply the amounts of each ingredient by 4/5 or 0.8.

Butter: 12 * 0.8 = 9.6 oz.

Sugar:  10 * 0.8 = 8 oz.

Flour:  15 * 0.8 = 12 oz.

Eggs: 5 * 0.8 = 4 eggs.

Given that m= -2 and n=¾, find the value Of
i)m²(n-1)
ii) n²-3/m​

Answers

Answer:

Given that m = -2 and n = ¾,

m^2 x (n - 1) = (-2)^2 x (3/4 - 1) = 4 x (-1/4) = -1

n^2 - 3/m​ = (3/4)^2 - 3/(-2) = 9/16 + 3/2 = 9/16 + 24/16 = 33/16

Hope this helps!

:)

ANSWER ASAP Choice 1 Choice 2 Choice 3 Choice 4

Answers

Answer : Use an app like PhotoMath

Answer: a, -1/2x-6=y

Step-by-step explanation:

If 3 inches represents 20 miles how many inches does 50 miles represent

Answers

Answer:

Step-by-step explanation:

if 3=20

then ?=50

if more less divide

50/20 *3 =7.5

Answer:

7.5 inches

Step-by-step explanation:

We can use ratios to solve

3 inches         x inches

---------------- = --------------

20 miles           50 miles

Using cross products

3 * 50 = x * 20

150 = 20x

Divide by 20

150/20 = x

7.5 inches

Using system of equations answer this word problem. 1) Scott and Paul are selling Pies for a school fundraiser. Customers can buy apple pies and lemon meringue pies. Scott sold 3 apple pies and 12 lemon meringue pies for a total of 141$. Paul sold 2 apple pies and 5 lemon meringue pies for a total of 64$ What is the cost of each of one apple pie and one lemon meringue pie? (Show your work and tell me how to do it and I'll give you brainlist!)

Answers

Answer:

Step-by-step explanation:

We first need to come up with a system of equations that models this situation. Let's call apple pies "a" and lemon pies "L". Then we look to each individual involved in selling these pies and come up with an equation for each. Scott sold 3 apple and 12 lemon pies. The combination of this number of these 2 types of pies grossed him $141. In equation form, the combination of this number of these 2 types of pies is an addition thing. Namely,

3a + 12L = 141

For Paul, his combination was 2 apple and 5 lemon for a total of $64. His equation is

2a + 5L = 64

We need to solve this system either by substitution or elimination/addition to come up with the cost of both types of pies. I chose elimination/addition because I think in this case it is easier, and easier is good.

Setting up for elimination/addition:

3a + 12L = 141

2a  + 5L = 64

Let's first eliminate the a terms. That means that the coefficient on each a has to be the same but with different signs. The LCM of both 3 and 2 is 6, so we will multiply the top equation by 2 and the bottom equation by -3 (we could also have chosen to eliminate the L's first; we also could have chosen to eliminate the a's first but made the 2 negative instead of the 3. As long as you do the math correctly, you'll get the same answer regardless of how you choose to do it). Multiplying the first equation by 2 and the second by -3 gives us a new system:

6a + 24L = 282

-6a - 15L = -192

The reason this is called the elimination or addition method is because the goal is to eliminate, but you do that by adding the columns together. As you can see, 6a - 6a eliminates the a terms, right? What you're left with then is

9L = 90 and

L = 10

Now that we know the cost of a lemon pie, we can back sub in to solve for the cost of an apple pie. It doesn't matter which equation you back sub into, as long as it has both an L and an a in it.  I'll choose the first equation we wrote when we took on this nightmare:

3a + 12L = 141.  Subbing in 10 for L gives us

3a + 12(10) = 141 and

3a + 120 = 141 and

3a = 21 so

a = 7

That means that lemon pies cost 10 each and apple pies cost 7 dollars each.

Please answer asap please

Answers

Answer:

20°

Step-by-step explanation:

ΔCAD

BD=CD

∠BCD=50°, ∠BAD= 30°, x= ?

------------

BD=CD ⇒ ∠CBD= ∠BCD= 50° ⇒ ∠BDC= 180°- 50°×2= 80°

∠ADC= 180° - (50°+30°)= 100°

x= ∠ADC - ∠BDC= 100° - 80°= 20°

x= 20°

Someone help me with this plz

Answers

Answer:

A

Step-by-step explanation:

The picture is how you solve it

Answer:

V =904.7786842 m^3

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

The diameter is 12 so the radius is  d/2 = 12/2 = 6

V = 4/3 pi 6^3

V = 288 pi

Let pi = 3.14

V =904.32

If we use the pi button

V =904.7786842

The measure of each interior angle of a regular polygon can be expressed as x-5 and the number of sides by 10x. Determine the following the number of degrees in each exterior angle

Answers

Answer:

  0.1948° in each exterior angle

Step-by-step explanation:

The exterior angle measure is 360° divided by the number of sides. Here, that is 10x, so the exterior angle is ...

  360°/(10x) = 36°/x

The measure of the interior angle is the supplement of the exterior angle, so we have ...

  x -5 = 180 -(36/x)

  x(x -5) = 180x -36 . . multiply by x

  x^2 -185x = -36 . . . . . subtract 180x

  x^2 -185x +8556.25 = -36 +8556.25 . . . . complete the square

  (x -92.5)^2 = 8520.25

  x -92.5 ≈ ±92.3052

  x ≈ 184.8052 or 0.19480

It does not make any sense for the number of sides to be 10·0.1948 = 1.948, so we assume the number of sides is 184.8052·10 = 1848.

Then the number of degrees in each exterior angle is ...

  36°/184.8052 = 0.1948

whats the volume of a sphere with a radius of 6?

Answers

Answer:

see below

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

V = 4/3 pi (6)^3

V =288 pi

If pi = 3.14

V =904.32

If  we use the pi button

V =904.7786842

Find the GCF of these monomials, 20x, 18y

Answers

The greatest common factor is 2.

Answer:

2

Step-by-step explanation:

[tex]20x = 2 \times 2 \times 5 \times x \\ \\ 18y = 2 \times 3 \times 3 \times y \\ \\ common \: factor = 2 \\ \therefore \: GCF \: of \: 20x \: and \: 18y = 2[/tex]

Please answer correctly !!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!

Answers

Answer:

25

Step-by-step explanation:

Take the coefficient of x

10

Divide by 2

10/2 = 5

Square it

5^2 =25

x^2 +10x + 25

Answer:nor 1

Step-by-step explanation:

In the diagram below, AngleDAB and AngleDAC are adjacent angles.

Lines A B, A D, and A C create two angle. The space between lines A B and A D is (2 x minus 10) degrees. The space between lines A D and A C is (x minus 20) degrees.
If mAngleDAC = 25°, what is mAngleDAB in degrees?



What is mAngleBAC in degrees?

Answers

Answer:

it is 80 degrees for first and then 105 degrees for second

Step-by-step explanation:

The measure of ∠BAC is 105°.

Given that, ∠DAC=(x-20)°=25° and ∠DAB=(2x-10)°.

What are adjacent angles?

The two angles are said to be adjacent angles when they share the common vertex and side.

Now, ∠DAC=(x-20)°=25°

⇒x=45°

So, ∠DAB=(2x-10)°=80°

Then ∠BAC=∠DAC+∠DAB=25°+80°=105°

Therefore, the measure of ∠BAC is 105°.

To learn more about the adjacent angles visit:

https://brainly.com/question/12838185.

#SPJ5

I need help with this question please.​

Answers

Answer:

30 degrees.

Step-by-step explanation:

Rotational symmetry is defined as a figure having the same appearance when rotated by a certain angle.

The wheel has 12 "handles." We can use these as reference points when rotating the image.

We also know that we can rotate by a total of 360 degrees. We can say that:

360/12 = 30 degrees.

Each time you rotate the wheel by 30 degrees, the image will end up on another handle (looks the same). This shows rotational symmetry.

I hope this helps!

Find the volume of a pyramid with a square base, where the side length of the base is 5.8 ft 5.8 ft and the height of the pyramid is 8.9 ft 8.9 ft. Round your answer to the nearest tenth of a cubic foot.

Answers

Answer: The volume of the pyramid is 99.8 cubic feet.

Step-by-step explanation:

Hi, to answer this question we have to apply the next formulas:

Base area = side length^2 = 5.8^2 = 33.64 ft2

And then:

Volume of a pyramid = 1/3 x base area x height

Replacing with the values given:

V = 1/3 x 33.64 x8.9 =99.8 ft3

The volume of the pyramid is 99.8 cubic feet.

Feel free to ask for more if needed or if you did not understand something.

Other Questions
A function has a discriminant of 25.How many x-intercepts does it have? What does assimilation mean? Why is Asagai calling Beneatha this? 20 POINTS! what comes next in the pattern? 76, 80, 88, 95, 100, 101?102105108103106109 Record letters from left to right 2.A 5 Ohm resistor is connected to a 9 Volt battery. How many Joules of thermal energy are produced in 7 minutes?3.The current in a flashlight powered by 4.5 Volts is 0.5 A. What is the power delivered to the flashlight? 4.If the flashlight in the previous problem is left on for 3 minutes, how much electric energy is delivered to the bulb?7.A 50 Ohm resistance causes a current of 5 milliamps to flow through a circuit connected to a battery. What is the power in the circuit?8.How many Joules of electric energy are delivered to a 60 Watt lightbulb if the bulb is left on for 2.5 hours? Use long division to solve:69 )310.5 When dividing complex numbers, why do you need to multiply the numerator and denominator by the complex conjugate of the denominator? Bamboo Consulting is a consulting firm owned and operated by Lisa Gooch. The following end-of-period spreadsheet was prepared for the year ended July 31, 2016:Bamboo ConsultingEnd-of-Period SpreadsheetFor the Year Ended July 31, 2016Unadjusted Trial Balance Adjustments Adjusted Trial BalanceAccount Title Dr. Cr. Dr. Cr. Dr. Cr.Cash 58,000 58,000 Accounts Receivable 106,200 106,200 Supplies 11,900 (a) 7,500 4,400 Office Equipment 515,000 515,000 Accumulated Depreciation 28,000 (b) 5,600 33,600Accounts Payable 20,500 20,500Salaries Payable (c) 2,500 2,500Lisa Gooch, Capital 516,700 516,700Lisa Gooch, Drawing 25,000 25,000 Fees Earned 348,500 348,500Salary Expense 186,500 (c) 2,500 189,000 Supplies Expense (a) 7,500 7,500 Depreciation Expense (b) 5,600 5,600 Miscellaneous Expense 11,100 11,100 913,700 913,700 15,600 15,600 921,800 921,800Based on the preceding spreadsheet, prepare an income statement, statement of owners equity, and balance sheet for Bamboo Consulting. Be sure to read the instructions for each financial statement carefully.CHART OF ACCOUNTSBamboo ConsultingGeneral LedgerASSETS11 Cash12 Accounts Receivable13 Supplies14 Office Equipment15 Accumulated DepreciationLIABILITIES21 Accounts Payable22 Salaries PayableEQUITY31 Lisa Gooch, Capital32 Lisa Gooch, Drawing33 Income Summary REVENUE41 Fees EarnedEXPENSES51 Salary Expense52 Supplies Expense53 Depreciation Expense54 Miscellaneous ExpenseLabels Current assets Current liabilities Expenses For the Year Ended July 31, 2016 July 31, 2016 Property, plant, and equipment Revenues Amount Descriptions Add withdrawals Decrease in owners equity Increase in owners equity Less withdrawals Lisa Gooch, capital Lisa Gooch, capital, August 1, 2015 Lisa Gooch, capital, July 31, 2016 Net income Net loss Total assets Total current assets Total expenses Total liabilities Total liabilities and owners equity Total property, plant, and equipment Total revenues 1. Prepare an income statement for the year ended July 31, 2016 for Bamboo Consulting. If a net loss has been incurred, enter that amount as a negative number using a minus sign. Be sure to complete the statement heading. Use the list of Labels and Amount Descriptions for the correct wording of text items other than account names. You will not need to enter colons (:) on the income statement.2. Prepare a statement of owners equity for the year ended July 31, 2016 for Bamboo Consulting. No additional investments were made during the year. If a net loss has been incurred or there has been a decrease in owners equity, enter that amount as a negative number using a minus sign. Be sure to complete the statement heading. Use the list of Labels and Amount Descriptions for the correct wording of text items.3. Prepare a balance sheet as of July 31, 2016 for Bamboo Consulting. Fixed assets must be entered in order according to account number. Be sure to complete the statement heading. Use the list of Labels and Amount Descriptions for the correct wording of text items other than account names. You will not need to enter colons (:) or the word "Less" on the balance sheet; they will automatically insert where necessary. Read this excerpt from A Black Hole is NOT a Hole.Which type of illustration would reinforce this information?What if the black hole were lumpy? Instead of getting a nice,smooth stretch, you'd be pushed and pulled in changingdirections, like human dough in a wrestling match with apretzel maker. (The pretzel maker wins.)a pretzel maker kneading dougha pretzel maker holding a trophya person shaped like a pretzela person shaped like doughOO why illegal contract is a contradiction in terms? yeah i need help with this what is the solution for the inequality -3x + 2 < 11? Copper is a solid phase of copper still unknown to science. The only difference between it and ordinary copper is that Copper forms a crystal with a bcc unit cell and a lattice constant . Calculate the density of Copper . Round your answer to significant digits. Which of the following changes would increase the pressure of a gas in a closedcontainer? a) More gas is addedb) Temperature is increasedc) The container's size is increasedd) Part of the gas is removede) Temperature is decreasedf) The container's size is decreased A scientist is running an experiment withtwo species of bacteria that grow exponentially.If species A doubles in population everytwo days, species B doubles in populationevery five days, and each species began theexperiment with a population of 50 bacteria,what will the difference be between thepopulations of the two species after ten days?(A) 200(B) 800(C) 1,200(D) 1,400 At 7 p.m. the temperature was 5 F. At midnight the temperature was -7 F. What was the change in temperature? Find the slope and y-intercept of the line. y =1/5x 8 1/5; 8 8;1/5 8; 1/5 5; 8 Packaging Solutions Corporation manufactures and sells a wide variety of packaging products. Performance reports are prepared monthly for each department. The planning budget and flexible budget for the Production Department are based on the following formulas, where q is the number of labor-hours worked in a month. Cost FormulasDirect labor $16.20qIndirect labor $4,300 $1.70qUtilities $5,600 $0.70qSupplies $1,400 $0.20qEquipment depreciation $18,400 $2.90qFactory rent $8,200Property taxes $2,700Factory administration $13,200 $0.80qThe Production Department planned to work 4,200 labor-hours in March; however, it actually worked 4,000 labor-hours during the month. Its actual costs incurred in March are listed below.Direct labor $66,360Indirect labor $10,620Utilities 8,930Supplies 2,450Equipment depreciation $30,000Factory rent 8,600Property taxes $2,700Factory administration $15,796Required: a. Prepare the Production Department's planning budget for the monthb. Prepare the Production Department's flexible budget for the month. Another candle has a volume of 75 cubic inches and a height of 6 inches. What is the radius, in inches, of this candle? Round your answer to the nearest inch. Use 3.14 for . The length of MN is 28 millimeters.What is the length of M'N' after a dilation with a scale factor of 7/4