A line has a slope of -3/4 and passes through the point (-5, 4). Which is the equation of the line?

Answer:

Hi.

thirty-six thousand,forty-two is written as 36,042.

3,642 is three thousand, six hundred forty-two.

Step-by-step explanation:

The amount the firm needs to deposit in the account now is 9,640.11. Given that the company has purchased a life truck with a useful life of 5 years, the maintenance costs for the truck during the first year are 2,000.

Also, maintenance costs are expected to increase at a rate of 300 per year over the remaining life, which is for four years. Assume that the maintenance costs occur at the end of each year.

The future maintenance costs for the truck can be calculated as shown below:

Year 1:\($2,000Year 2: $2,300Year 3: $2,600Year 4: $2,900Year 5: $3,200\)The maintenance account that earns 10% interest per year has to be set up, and all future maintenance expenses will be paid out of this account. The future value of the maintenance costs, i.e., the amount that the firm needs to deposit now to earn 10% interest and pay the maintenance costs over the next four years is given by:

\(PV = [C/(1 + i)] + [C/(1 + i)²] + [C/(1 + i)³] + [C/(1 + i)⁴] + [(C + FV)/(1 + i)⁵]\),where PV is the present value of the future maintenance costs, C is the annual maintenance cost, i is the interest rate per year, FV is the future value of the maintenance costs at the end of year 5, which is $3,200, and 5 is the total number of years, which is

5.Substituting the given values in the above equation:

\(PV = [2,000/(1 + 0.1)] + [2,300/(1 + 0.1)²] + [2,600/(1 + 0.1)³] + [2,900/(1 + 0.1)⁴] + [(3,200 + 3,200)/(1 + 0.1)⁵] = 9,640.11\)Therefore, the firm needs to deposit 9,640.11 in the account now. Hence, option (A) is the correct answer.

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Answer:

A

Step-by-step explanation:

A linear function is a straight line when graphed so is not B.

For confirmation of A note how for each increase of 3 in x we get the same increase of 5 in y.

Answer:

She walks 100 m in 1 minute

Step-by-step explanation:

Here, given the equation, we want to know the distance covered in a minute

From the question, the equation is;

d = 100t

so when t is 1

d = 100 * 1 = 100 m

       For C1(Q) = 3 - 2Q.

        For C2(Q) =  4.

     2. The AVC function

           For C1(Q) = 5/Q + 3 + 20/Q - Q.

           For C2(Q) = 3/Q + 4 + 2/Q.

     3. The AFC function

              For C1(Q)= 5/Q - 20/(5 + 3Q + 20/Q - Q)

              For C2(Q) = 0.

     4.  To find the AC function

        For C1(Q) = (5 + 3Q + 202 - Q^2)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q).

         For C2(Q) = (3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q.

    5.To find the ATC function

    For C1(Q)= 5/Q² + 3/Q + 20/Q² - Q/Q + 5/Q - 20/(5Q + 3Q² + 20 - Q²)

     For C2(Q)= 3/Q² + 4/Q + 2/Q² + 3/Q + 4/Q + 2/Q.

1. To find the MC function, we take the derivative of the cost functions with respect to Q.

For C1(Q) = 5 + 3Q + 202 - Q^2, MC1(Q) = 3 - 2Q.

For C2(Q) = 3 + 4Q + 2, MC2(Q) = 4.

2. To find the AVC function, we divide the cost functions by Q.

For C1(Q), AVC1(Q) = (5 + 3Q + 202 - Q^2)/Q = 5/Q + 3 + 20/Q - Q.

For C2(Q), AVC2(Q) = (3 + 4Q + 2)/Q = 3/Q + 4 + 2/Q.

3. To find the AFC function, we subtract the AVC function from the ATC function.

For C1(Q), AFC1(Q) = (5 + 3Q + 202 - Q^2)/Q - (5 + 3Q + 202 - Q^2)/(5 + 3Q + 20/Q - Q)

= 5/Q - 20/(5 + 3Q + 20/Q - Q).

For

C2(Q), AFC2(Q) = (3 + 4Q + 2)/Q - (3 + 4Q + 2)/(3/Q + 4 + 2/Q) = 0.

4. To find the AC function, we add the AVC function to the AFC function.

For

C1(Q), AC1(Q) = (5 + 3Q + 202 - Q^2)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q).

For

C2(Q), AC2(Q) = (3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q.

5. To find the ATC function, we divide the AC function by Q.

For

C1(Q), ATC1(Q) = [(5 + 3Q + 202 - Q²)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q)]/Q

= 5/Q² + 3/Q + 20/Q² - Q/Q + 5/Q - 20/(5Q + 3Q² + 20 - Q²).

For

C2(Q), ATC2(Q) = [(3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q]/Q

= 3/Q² + 4/Q + 2/Q² + 3/Q + 4/Q + 2/Q.

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Answer:

x  −  2  =  4  

Explanation:

The density of lead in SI units (kilograms per cubic meter) is approximately 11333.33 kg/m^3
To calculate the density of lead in SI units, we need to convert the given values to appropriate units. Let's begin with the conversion of mass and volume:

Given:

Mass of lead = 38.08 g

Volume of lead = 3.36 cm^3

Converting mass to kilograms:

1 gram (g) = 0.001 kilograms (kg)

So, 38.08 g = 38.08 * 0.001 kg = 0.03808 kg

Converting volume to cubic meters:

1 cubic centimeter (cm^3) = 0.000001 cubic meters (m^3)

So, 3.36 cm^3 = 3.36 * 0.000001 m^3 = 0.00000336 m^3

Now, we can calculate the density using the formula:

Density = Mass / Volume

Density = 0.03808 kg / 0.00000336 m^3

Density ≈ 11333.33 kg/m^3

Therefore, the density of lead in SI units (kilograms per cubic meter) is approximately 11333.33 kg/m^3.
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Answer: A, D, B

Step-by-step explanation:

Answer:A,B,D

yw :):):)

Answer:

If Then proof has been explained below!

Step-by-step explanation:

1.) If segment XY ║ ZW, then the 154° angle ≅ ∠2 (vertical angles)

2.) If segment XY ║ ZW, then ∠2 is complementary to ∠4

3.) If ∠2 is complementary to ∠4, then ∠4 = 28°

I hope this helps! If you have any questions, feel free to add it into the comments and please rate my answer and consider marking as brainliest!

6. Answer:

72.84

Step-by-step explanation:

To find the perimeter of the rectangle, just add the sides together except the one connected to the semicircle

12 + 15 + 15 = 42

The diameter of the semi circle is 12

πr + d = 6 * π + 12 ≈ 30.84

Add them together

42 + 30.85 = 72.84

7. Answer:

78.54

(78.5)

Step-by-step explanation:

The shape is a circle

Radius is 5

Diameter is 10  (diameter is always double of the radius)

π * r^2 = π * 25 cm^2 = 78.54 cm^2

8. Answer:

50.27

Step-by-step explanation:

The shape is a circle

Radius is 4

Diameter is 8  (diameter is always double of the radius)

π * r^2 = π * 16 ft^2 = 50.27 ft^2

(16 = 8 * 2)

Question 7

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

Work Shown:

angle B = angle D = 56

angle C = angle F = 64

The missing angle A adds with B and C to get 180

A+B+C = 180

A = 180-B-C

A = 180-56-64

A = 60

Since angles B and D are congruent, and C and F are congruent, this must mean angle A = angle E. I'm using the angle angle (AA) similarity rule.

angle E = angle A

3x+15 = 60

3x = 60-15

3x = 45

x = 45/3

x = 15

Side note: I'm not sure why your teacher marked angle E as the same as angles C and F.  They should have used another angle marker to indicate that angles A and E are the same.

================================================

Question 8

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

Work Shown:

Triangle ABC is congruent to triangle EDF. The order is important. We have A first, then B, then C for ABC. Also, we have E first, then D, then F for EDF.

Therefore, we have these three pairings

We'll first need angle C

A+B+C = 180

C = 180-A-B

C = 180-42-108

C = 30

which we'll then solve for x

angle F = angle C

4x-4 = 30

4x = 30+4

4x = 34

x = 34/4

x = 8.5

which doubles to

2x = 2*8.5

2x = 17

Answer:

Look at the lightest loaf of bread. It weighs 22 1/3 oz. The heavist loaf weighs 24 1/2. Subtract 24 1/2 and 22 1/3. Then, if the answer to that is 1 1/2 ounces then you agree. If it is not, then disagree. Then, add up all of the weights of the bread and find the answer.

Answer:

do u still need this question answeered?

Step-by-step explanation:

Answer:

The answer is 1

Step-by-step explanation:

2(a+7)−7=9

Step 1: Simplify both sides of the equation.

2(a+7)−7=9

(2)(a)+(2)(7)+−7=9(Distribute)

2a+14+−7=9

(2a)+(14+−7)=9(Combine Like Terms)

2a+7=9

2a+7=9

Step 2: Subtract 7 from both sides.

2a+7−7=9−7

2a=2

Step 3: Divide both sides by 2.

2a

2

=

2

2

a=1

Answer:

other apples should also be taken by another person and Bryan had no apples left.

Step-by-step explanation:

The distance of the coin from the base of building is 37.3 m.

An angle of depression is stated to be formed by a horizontal line and the line that connects an item and the observer's eye. It is mostly used to determine the distance between the two objects when we are aware of the angles and height of an object above the ground.

Following is a list of the fundamental trigonometric ratio formulae, and both have the same formula for the angle of depression:

sin x = hypotenuse/perpendicular

base/hypotenuse = cos x

tan x = base/perpendicular

Let x serve as a representation of the distance from the coin to the building's base. When we use the necessary trigonometric function, we get:

Tan θ = perpendicular/base

Tan 15 = 10/x

0.2680 = 10/x

x = 10/0.2680

x  = 37.3134

x = 37.3 m

The distance of the coin from the base of the building is 37.3 m.

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Answer:

x ≈ 10.4

Step-by-step explanation:

BD is an angle bisector and divides the opposite side into segments that are proportional to the other two sides , that is

\(\frac{AD}{CD}\) = \(\frac{AB}{BC}\) ( substitute values )

\(\frac{x}{11}\) = \(\frac{18}{19}\) ( cross- multiply )

19x = 11 × 18 = 198 ( divide both sides by 19 )

x ≈ 10.4 ( to the nearest tenth )

Answer:

a/8 or a over 8 hope this helps

Step-by-step explanation:

Answer:

n

8

→

I used

n

as the unknown number

Explanation:

The quotient is the result of division between two numbers.

The quotient of a number (I used

n

) and

8

would be

n

8

Answer:

-9

Step-by-step explanation:

+49/-7=-7

-2-7=-9

Answer:

Step-by-step explanation:

Answer:

Its option A

Step-by-step explanation:

P=2l+2w

P=2(l+w)

P/2=l+w

P/2-l=w

(P-2l)/2=w

Answer:

l + w = 25 and lw = 136

w(25 - w) = 136

25w - w² = 36

w² - 25w - 136 = 0

(w - 17)(w - 8) = 0

w = 8, so l = 17

The dimensions of the bookmark are 8 cm by 17 cm.

Answer:

dou still need the answer?

Step-by-step explanation:

Answer:

10 cases

Step-by-step explanation:

We are given the equation: y = -0.25x + 85, where y is the # of cases, and x is the # of students who received the vaccine.

The question asks for the # of cases if 300 students received the vaccine. Since we know that 300 students received the vaccine, we can plug that in for x in the equation above, since x is that unit:

y = -0.25(300) + 85

Now, we can solve:

y = 10

Therefore, there will be 10 cases if 300 students received the vaccine.

In a case whereby the sum of two consecutive numbers is 25 the largest of the consecutive numbers is 13.

Given that sum of two consecutive numbers is 25 , ans we were required to locatye the  largest of the consecutive numbers. The we can represent the consecutive numbers as x and x+1. According to the problem, the sum of these two consecutive numbers is 25:

x + (x+1) = 25

Simplifying the left side of the equation:

2x + 1 = 25

2x = 24

Dividing both sides by 2:

x = 12

So the first consecutive number is 12. The second consecutive number is 12 + 1 = 13. Therefore, the largest of the consecutive numbers is 13.

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To solve equations with fractions and variables in the denominator, we need to eliminate it by moving it to the other side. To do this, we multiply both sides of the equation by the term in the denominator. This will cancel out the fraction and leave us with a simpler equation to solve.

For example, suppose we have the equation (3 + x) / x = 2. To get rid of the fraction, we multiply both sides by x. This gives us: x * (3 + x) / x = x * 2. The x in the numerator and denominator cancel out, leaving us with:

3 + x = 2x. Now we can solve for x by subtracting x from both sides: 3 = x

This is the solution of the equation.

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Answer:27

Step-by-step explanation:i really don't know i just want points

Answer: y=1/4x-4

Step-by-step explanation:

y=mx+b

Answer:

i think u missed out the missing variable

Step-by-step explanation:

Answer:

14 cm

Step-by-step explanation:

The maximum area of a rectangle (actually square) with a perimeter of 14 can have is 12.25 cm².  So the smallest perimeter a rectangle of 12 cm² i just a little below 14 cm, namely 4sqrt(12) = 13.86 cm.

To find the slope of a line that includes the points (5,-2) and 6,0).​

Using the formula;

where m is the slope

x₁ = 5 y₁= -2 x₂ = 6 y₂=0

substituting the values into the formula;

m = 2/1

m=2

Hence; the slope is 2