2. Define any variables and tell the slope and y-intercept of the situation. Then, write an equation to represent
the situation.

An electrician charges $75 for a service call and $25 for each hour they are on the job. If the electrician spends x hours at a house, what will the total charge, C(x) be?

2. Define Any Variables And Tell The Slope And Y-intercept Of The Situation. Then, Write An Equation

Answers

Answer 1

Answer:

x=number of hours

c(x)= 25x+75

y-intercept= (0, 75)

Equation= y=25x+75

Slope= 25

Step-by-step explanation:

75 would be the y intercept(constant) because that's the initial charge for a call.

25 would be the coefficient for x because the hour you spend on the call varies.

The slope is how steep the line is, in this case it is 25.

x is the number of hours because that is the time that varies.


Related Questions

According to this diagram, what is cos 28°? 62° 17 8 28° 90° 15 O A. 17 15 O B. 8 17 O c. 15 17 O D. O E. 8 15 15 OF.​

Answers

Answer:

C. [tex] Cos(28) = \frac{15}{17} [/tex]

Step-by-step explanation:

Recall: SOHCAHTOA

Thus,

[tex] Cos(\theta) = \frac{Adjacent}{Hypotenuse} [/tex]

Reference angle = 28°

Adjacent = 15

Hypotenuse = 17

Plug in the values

[tex] Cos(28) = \frac{15}{17} [/tex]

Please answer this correctly without making mistakes I want ace expert and genius people to answer this correctly without making mistakes

Answers

Answer:

(9³×m)3

Step-by-step explanation:

Hope it helps you

a^2 - 2ab^2 if a = 9 and b = 3

Answers

U would just plug in the numbers to the letters. The answer is -81

Solve for x
This is also an octagon if it helps!

Answers

Answer:

x = 10

Step-by-step explanation:

it has 8 sides so:

total interior angle degrees = (180° x 8 sides) - 360° = 1080°

11x + 14 + 4x + 87 +2x + 70 + 4x + 31 + x + 92 + 3x + 167 + 5x + 48 + 2x + 251 = 1080°

combine like terms:

32x + 760° = 1080°

subtract 760° from both sides of the equation:

32x = 320°

divide both sides by 32:

x = 10

what is the percent increase
from 3.49 to 3.89​

Answers

11.461318051576 so 0.11%

a spiner has 5 equal sized sections with different colors. you spin the spinner 50 times what is th theoretical and experimental probability of spinning blue

Answers

Answer:

10%

Step-by-step explanation:

you would do 50/5 because all the sections are even so you would get 10%.

Given 2x⁵-6x³-4x²-2x+4 =0 solve for x

Answers

Answer:

Step-by-step explanation:

I need help please ????! Anyone wanna help me

Answers

Answer:

the inverse operation for addition is subtraction

Can someone help fast to find a and c

Answers

Answer: 15 10

Step-by-step explanation:                        

HURRY!!!!
What is the volume, in cubic inches, of the right rectangular prism with a length of 5 inches, a width of 8 inches, and a height of 20 inches

Answers

Answer:

800 cubic inches

Step-by-step explanation:

We will use the formula= V=lwh or Volume= length times width times height

so, Volume=5inches times 8 inches times 20 inches

so, volume= 5 times 8 times 20

=40 times 20

=800 cubic inches

Please mark me as a brainliest

Answer:

800

Step-by-step explanation:

A fair spinner has 10 equal sections: 4 red, 3 blue and 3 green.

It is spun twice.

What is the probability of getting the same colour twice?

Answers

Answer:

4 divided by 10 is 40% 3 divided by 10 is 30 percent

Step-by-step explanation:

for red there would be 40 percent probability and green and blue both have 30% probability.

I need help look in screenshot plzz

Answers

Answer:

45

Step-by-step explanation:

3 to the power of 2=9

and 9x5 =45

"Death Valley Hike"
A hiker in Death Valley begins the climb out of the valley from 150 feet below sea level. 5
minutes later, the hiker is 87.5 feet below sea level.
a) Write an equation that models this situation.
b) What is the y-intercept and what does it represent?
c) What is the x-intercept and what does it represent?
d) What is the slope and what does it represent?
e) What is the hiker's distance below sea level after 10 minutes?

Answers

I would go with Either E or A

Answer:

I'm pretty sure E

Step-by-step explanation:

think about it he traveled 70 feet in 5 minutes so he would still be below sea level

What is the y-intercept of the line?
1
1/2
-2
0

Answers

I might be wrong but Im pretty sure its A because thats where the line is going through the y axis.

Answer:its 1

Step-by-step explanation:

Hi please help me.. will give brainlest​

Answers

Answer:

Volume = l*w*h

Equation: 1620 = 9*9*h

1620=81h

h=20 cm

I would say h= 20cm

Divide round your answer to the nearest hundredth 5608.67÷7

Answers

Answer:

5608.67 ÷ 7 = 801.24

What is the some of the finite arithmetic series?​

Answers

Answer:

455

Step-by-step explanation:

Which transformation could NOT be used to prove that two circles are congruent to one another?

Answers

Answer: D

Step-by-step explanation:

Posted this 4 times nobody knows?

Answers

Answer:

D. f(x) = 2^x

Step-by-step explanation:

2^0 = 1

2^1 = 2

2^2 = 4

2^3 = 8

2^4 = 16

The base is always 2. The exponent changes and is x.

Answer: D. f(x) = 2^x

A family is booking a trip to Florida and the travel agent knows that for families with children of similar ages the probability of visiting Busch Gardens is 40% and the probability of visiting Sea World given that they visited Busch Gardens is 60%; also the agent knows the probability of this type of family visiting either Busch Gardens or Sea World is 70%. To determine the best package for this family, the agent wants to determine the probability that this family will visit Sea World without consideration to the fact that they visited Busch Gardens.

Answers

Answer:

0.54 = 54% probability that this family will visit Sea World without consideration to the fact that they visited Busch Gardens.

Step-by-step explanation:

We solve this question treating these events as Venn probabilities.

I am going to say that:

Event A: Visited Busch Gardens.

Event B: Visited Sea World.

The probability of visiting Busch Gardens is 40%

This means that [tex]P(A) = 0.4[/tex]

The probability of visiting Sea World given that they visited Busch Gardens is 60%

60% of 40%, which means that:

[tex]P(A \cap B) = 0.6*0.4 = 0.24[/tex]

The agent knows the probability of this type of family visiting either Busch Gardens or Sea World is 70%.

This means that [tex]P(A \cup B) = 0.7[/tex]

Te agent wants to determine the probability that this family will visit Sea World without consideration to the fact that they visited Busch Gardens.

This is P(B).

These probabilities are related by the following equation:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

Replacing the values

[tex]0.7 = 0.4 + P(B) - 0.24[/tex]

[tex]0.16 + P(B) = 0.7[/tex]

[tex]P(B) = 0.54[/tex]

0.54 = 54% probability that this family will visit Sea World without consideration to the fact that they visited Busch Gardens.

On a youth soccer team 3 out of 12 team members have played in previous years. Based on this information, if 150 kids are in the youth soccer league, then how many could be expected to have played the year before?​

Answers

Yes i also believe 30 is the answer

A store baked 1,344 bagels and placed them into bags to sell. Each bag contained 6 bagels.How many bags of bagels were made? Explain the strategy you used to solve this problem.

Answers

1,344/6=224
224 bags of bagels were made

how does the digit 5 in the number 357 compare with the digit 5 in number 465

Answers

Answer:

The digit 5 in 357 is in the tens place while the digit in the number 465 is in the ones place

Step-by-step explanation:

Good luck

What is the recursive formula for this sequence:
1,-1,-3, -5......

Answers

Answer:

d) A[n] = A[n=1] - 2 (Your selected answer is correct)

Step-by-step explanation:

Think of the formula as:

new number = previous number minus 2

Please do not send me a link to the answers I will have u reported but please answer this in feet

Answers

Answer:

24.5

Step-by-step explanation:

PLEASE HELP I GIVE BRAINLIEST

Answers

Answer:   777654

Step-by-step explanation:

lol

what is the graph of the system? y < -2

Answers

Answer: The answer is -2 it's just going to stay as -2 because y has no value.

Answer: this is the graph i wish that could help :)

A large tank is filled to capacity with 400 gallons of pure water. Brine containing 3 pounds of salt per gallon is pumped into the tank at a rate of 4 gal/min. The well-mixed solution is pumped out at a rate of 8 gals/min. Find the number A(t) of pounds of salt in the tank at time t.

Answers

Answer:

The number A(t) of pounds of salt in the tank at time t = [tex]\frac{3t(100 - t)}{25}[/tex]

Step-by-step explanation:

Given - A large tank is filled to capacity with 400 gallons of pure water. Brine containing 3 pounds of salt per gallon is pumped into the tank at a rate of 4 gal/min. The well-mixed solution is pumped out at a rate of 8 gals/min.

To find - Find the number A(t) of pounds of salt in the tank at time t.

Proof -

Given that,

Capacity of water = 400 gallons

rate in flow = 4 gal/min

rate out flow = 8 gal/min

Concentration in = 3 lbs/gal

Concentration out = (Amount of salt at time t )/ (Solution in tank at time t)

Now,

Let

A(t) = Amount of salt in the tank at time t

Now,

Initially tank has 400 gallons of water, So

A(0) = 0 ................(1)

Now,

Rate of change in the amount of salt = [tex]\frac{d}{dt} A(t)[/tex]

                                                             = (Rate in flow )( Concentration In) - (Rate out flow )( Concentration out)

                                                             = (4) (3) - (8) ([tex]\frac{A(t)}{400 - 4t)}[/tex]

                                                             = 12 - [tex]\frac{2A(t)}{100 - t)}[/tex]

⇒[tex]\frac{d}{dt} A(t)[/tex] + [tex]\frac{2A(t)}{100 - t)}[/tex] = 12

Now,

Integrating Factor, I.F = [tex]e^{\int {\frac{2}{100 - t} } \, dt }[/tex]

                                    = [tex]e^{-2ln(100 - t)}[/tex]

                                    = (100 - t)⁻²

⇒I.F = (100 - t)⁻²

The solution becomes

A (I.F) = ∫ (I.F)(12) dt + C

⇒A (100 - t)⁻² = ∫12(100 - t)⁻² dt + C

⇒A (100 - t)⁻² = -12(100 - t)⁻¹ (-1) + C

⇒A(t) = [tex]12(100 - t)+ C(100 - t)^{2}[/tex]

Now,

We have A(0) = 0

⇒C = -12/100

∴ we get

A(t) = 12(100 - t) - [tex]\frac{12}{100}[/tex] (100 - t)²

     = 12(100 - t) [ 1 - [tex]\frac{100 - t}{100}[/tex] ]

     = 12(100 - t) ([tex]\frac{t}{100}[/tex])

     = [tex]\frac{3t(100 - t)}{25}[/tex]

⇒A(t) = [tex]\frac{3t(100 - t)}{25}[/tex]

∴ we get

The number A(t) of pounds of salt in the tank at time t = [tex]\frac{3t(100 - t)}{25}[/tex]

3. Write in fraction form: 15.43
(5 Points)
15 43/100
O 154 3/100
O 1543/100
O 15 43/10

Answers

Answer:

1543/100 is the answer

Hopes this helps:

Answer: 15 43/100

1. Split the number into its whole number component and decimal component.
15.43 = 15 + 0.43

2. For the decimal component, 0.43 is the same as 43/100.
43/100

3. Combine the whole number component with the fraction.
15 43/100

BRAINIEST FOR CORRECT ANSWER!! :))) ——————-

Determine the possible side lengths of the third side of a triangle with known side
lengths of 5 and 8.

A) 5 < c < 8

B) 3 < c < 13

C-5 < c <-8

D) -3 < C < -13

Answers

Answer:
3 < c < 13
Step-by-step explanation:
A triangle is known to have 3 sides: Side a, Side b and Side c.
For a triangle, one of the three sides is longer than the other two sides. (The only exception is when we are told specifically that a triangle is an equilateral triangle, where all the 3 sides are equal to each other).
To solve the above question, we would be using the Triangle Inequality Theorem.
The Triangle Inequality Theorem states that the summation or addition of the lengths of any two sides of a triangle is greater than the length of the third side.
Side a + Side b > Side c
Side a + Side c > Side b
Side b + Side c > Side a
For the above question, we have 2 possible side lengths for the third side of the triangle. We are given in the above question,
side (a) = 5
side (b) = 8
Let's represent the third side as c
To solve for the above question,we would be having the following Inequality.
= b - a < c < b + a
= 8 - 5 < c < 8 + 5
= 3 < c < 13
Other Questions
Petra invested $6,000 at 6.5% simple interest for 3 years. Martin invested $6,000 at5% for 42 months. Who had more money at the end of their investments and by how much? HELPPPPi need it done right away Given ab and (a^2 - b^2) / (a + b ) = 12, find a - b. Decrease R1400 in the Ratio 7:3 briefly explain Five ways in which the influence of sport and games can lead to nation building and national unity UNIT 16: INFORMATIVE ESSAYLESSON 1: FEATURES OF AN INFORMATIVE ESSAYDIRECTIONS: Identify whether each statement about informative essay is TRUE or FALSE1. It contains a thesis statement to establish its main point.2. It is meant to present an idea or concept towards an audience.3. It uses rhetorical questions to arouse the minds of the audience.4. It does not persuade the audience to go with the writer's belief or position as written inhis/her essay5. Writer's opinions on the topic are more than enough to support the points raised by thewriter in his/her essay. Please help me and write an essay for me about this !! i will give u 100 points 6. The Cold War was the ideological, political, and economic conflict between the United States and the Soviet Union following World War II. During the Cold War, each country tried to limit the other country's influence around the world by building nuclear weapons, supplying weapons and money to other countries to gain their support, and spreading false information about the other. While the two countries never came into direct, open conflict with each other, they did come into indirect conflict numerous times. This included the Cuban Missile Crisis, when the world seemed on the edge of a nuclear war.A historian has made the claim that too much is being made of the Cold War and that it was never a significant threat to world peace, as proven by the fact that the United States and the Soviet Union never went to war. Read these excerpts from speeches given by Nikita Khrushchev, Fidel Castro, and John F. Kennedy during the Cold War. Use the information from the three passages to write a historical essay that responds to the historian's claim. Be sure to include an introduction paragraph with a thesis, body paragraphs with at least three pieces of evidence supporting your thesis, a counterclaim to your thesis, and a refutation of that counterclaim. Finally, include a conclusion paragraph restating your thesis and the evidence supporting it. Passage 1: Soviet premier Nikita Khrushchev addressed the UN Assembly in 1960 after U.S. military aircraft allegedly entered Soviet airspace.We saw a dangerous manifestation of the work of these forces last spring when the aircraft of one of the largest States Members of the United Nations, the United States of America, treacherously invaded the air space of the Soviet Union and that of other States. What is more, the United States has elevated such violations of international law into a principle of deliberate State policy. The aggressive intrusion into our country by a United States aircraft and the whole course of the United States Government's subsequent behaviour showed the peoples that they were dealing with a calculated policy on the part of the United States Government, which was trying to substitute brigandage for international law and treachery for honest negotiations between sovereign and equal States.3Passage 2: Cuban prime minister Fidel Castro made a speech in 1961 after the United States sponsored the failed Bay of Pigs invasion of Cuba, a Soviet ally.Our position is that we will fight to the last man, but we do not want direct aggression. We do not wish to suffer the destruction that aggression would bring. If the aggression comes, it will meet the total resistance of our people.. . . They are the ones who are bringing the world to the brink of war through their warlike spirit, their own contradictions, and their economic problems which cause them to provoke a series of crises in order to maintain their war economy. Their factories run only when they are building war material. Their regime is marching toward a crisis. It is not like our economy, which is perfectly planned.4Passage 3: U.S. president John F. Kennedy addressed the United States after it was discovered that the Soviet Union had placed nuclear weapons in Cuba, just 70 miles from the U.S. border. I want to take this opportunity to report on the conclusions which this Government has reached on the basis of yesterday's aerial photographs which will be made available tomorrow, as well as other indications, namely, that the Soviet missile bases in Cuba are being dismantled, their missiles and related equipment are being crated, and the fixed installations at these sites are being destroyed. I need help on this question When a nonmetal gains electrons, it becomes this type of ion. What is the Society of Jesus?a group of Protestant settlers who were forced from Europea charter that was created for missionaries in the Americasan American Indian group that was friendly to settlersan order of Catholic priests who were early missionaries Simply the expression 6x + 1 - ( 3x -1 ) Simplify the expressions by combining like terms-3d + 8d - 5d What type of art did Pablo Picasso help to create?PointillismCubismGeometric artHistory art Please help me!!!!!! What is the side lengths, in inches, of a cube with a volume of 11 cubic inch? From the top of a building 42 feet high, the angle of depression to a car stopped on the ground it is 27. What is the distance from the car to the base of the building? think about all the different superheroes or villains that you know of. which one of them has the best backstory and what is their backstory? 3y^4+9y^3-120y^2=0 Need Answer ASAP Which 0.1 M solution has a pH greater than 7?w1. C6H12062.CH3COOH3.4.KOH what is the measure of angle x?