The state of Montana is experiencing a warm day after a heavy snowfall. The graph shows the height of snow, h, in centimeters after t hours.

1.) What linear function does the graph represent.

h= 3t = 6
h=3t+18
h=−3t+18
h=−3t+6
The initial value represents which of the following?

The amount of snow melting each hour.

The amount of snow remaining after four hours.

The amount of snow that accumulated the previous night.

The State Of Montana Is Experiencing A Warm Day After A Heavy Snowfall. The Graph Shows The Height Of

Answers

Answer 1

Answer:

1. [tex] h = -3t + 18 [/tex]

2. The amount of snow that accumulated the previous night.

Step-by-step explanation:

1. height of snow = h cm

time = t hrs

To determine the linear function, find the slope (m) of the line, and the y-intercept (b). Then represent the function in slope-intercept form as y = mx + b. Where,

y = h,

x = t

m = slope

b = y-intercept

Find slope (m) using points (6, 0) and (0, 18):

[tex] m = \frac{h_2 - h_1}{t_2 - t_1} = \frac{18 - 0}{0 - 6} = \frac{18}{-6} = -3 [/tex]

m = -3

The y-intercept is where the line intercepts the y-axis = 18

Substitute y = h, x = t, m = -3, and b = 18 into y = mx + b.

Thus, the linear function would be:

[tex] h = -3t + 18 [/tex]

2. The Initial value is the y-intercept, which is 18. In this case, 18 represents the amount of snow in cm, that accumulated the previous night.


Related Questions

Question #3: Can you add the following terms? Why or why not?
3V2 + 2V2

Answers

Yes, it’s because they are like terms. They both have the same variable and exponent. (v^2) Only the coefficients are added together.

So when they’re added, it becomes 5v^2.

Find the unit rate. Round to the nearest hundredth, if necessary.

$340 for 18 ft2

Answers

Answer:

18.89

Step-by-step explanation:

340/18=18.8888

18.888 to the nearest hundredth is 18.89

If X = 6 Which number line shows the value of X? Good answer gets brainliest

Answers

Answer:

B

Step-by-step explanation:

The absolute value of a number means its distance from zero.

Therefore:

I-6I=6

Answer B shows that -6 is 6 units on the number line from zero, so that is the correct answer.

James determined that these two expressions were equivalent expressions using the values of x - 4 and x - .6
Which statements are true? Check all that apply.
7x+4 and 3x+5+4x-1
When x = 2, both expressions have a value of 18.
The expressions are only equivalent for x = 4 and x = 6.
The expressions are only equivalent when evaluated with even values.
The expressions have equivalent values for any value of x.
The expressions should have been evaluated with one odd value and one even value.
When x = 0, the first expression has a value of 4 and the second expression has a value of 5.
The expressions have equivalent values if x = 8.

Answers

Answer:2 4 and 5

Step-by-step explanation:

Clancy has 4 2/3 cups of yogurt to share with his friends at a party. Each guest will receive 1 serving of yogurt which is 3/4 of a cup.

Write a multiplication equation to determine the number of people, p, who can be invited to the party.

Answers

Answer:

4 2/3 divided by 3/4 = p

Step-by-step explanation:

whatever the answer to the equation is the amount of people able to be invited

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The multiplication equation to determine the number of people, p, who can be invited to the party is 3/4 p = [tex]4\frac{2}{3}[/tex].

The number of people that can be invited to the party is 6 people.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example: 2x + 6 = 7 is an equation.

We have,

Amount of cups of yogurt Clancy have = [tex]4\frac{2}{3}[/tex]

Amount of cups of yogurt each person received = 3/4 of a cup

The number of people p that can be invited to the party:

3/4 p = [tex]4\frac{2}{3}[/tex]

3/4 p = 14/3

p = 14/3 x 4/3

p = 56/9

p = 6.22

p = 6

Thus,

The multiplication equation to determine the number of people, p, who can be invited to the party is 3/4 p = [tex]4\frac{2}{3}[/tex].

The number of people that can be invited to the party is 6 people.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ5

Malcolm and Theo's families are both traveling to the same vacation resort.

The equation d=65t models the distance, d, that Malcolm's family travels after t hours.

The graph below shows the relationship between the distance and the amount of time that Theo's family traveled.

How much faster did Malcolm's family travel than Theo's family

10 miles per hour


15 miles per hour


30 miles per hour


65 miles per hour

Answers

Graph is missing, so i have attached it.

Answer:

15 miles per hour

Step-by-step explanation:

We are given that d = 65t models the distance, d, that Malcolm's family travels after t hours.

Since we are comparing speed of both families, then we will find the speed here.

Formula for speed is;. Speed = distance/time

d = 65t and we know that d is distance and t is time. Thus, d/t = 65 m/hr = speed.

For Theo's family, looking at the image attached;

At a distance of 50 miles, time spent is 1 hr

At a distance of 100 miles, time spent is 2 hrs

At a distance of 150 miles, time spent is 3 hrs

At a distance of 200 miles, time spent is 4 hrs

Thus, speed = 200/4 or 150/3 or 100/2 or 50/1.

They all give a constant value of 50 m/hr.

Thus, speed of Theo's family = 50 mi/hr

Comparing this to that of Malcolm's family,we can see that Malcolm's family were faster by 65 - 50 = 15 mi/hr

Answer:

15

Step-by-step explanation:

Billy and Joe go to McDonalds for lunch. They order 2 burgers, 3 fries, and 2 sodas. The mom
bugers cost $3.50 each. The sodas cost $1.00 each. If the total was $16.29 how much was
each fry. Write and solve an equation to represent this situation. Round your answer to
the nearest tenth

Answers

Answer:

2.43 and rounded it is 2 dollars

Step-by-step explanation:

2 burger-$7.00

3 Fries-

2 Sodas- $2.00

7+2=9

$16.29-9.00=7.29

$7.29/3=2.43

You need to make at least 360 wraps for a party. You can make 9 wraps per minute.

How long will it take you to make the number of wraps you need?
In two or more complete sentences write and solve an inequality for the situation and explain how you will solve the inequality.

Answers

Answer:

40 minutes

Step-by-step explanation:

What the person above/below me is saying, is you have to divide 360 and 9, to find x! X=40, 360/9=40! That's what they mean. I hope this helped you understand their answer!

It will take 40 minutes for me to make the 360 wraps that I need.

9x ≥ 360 ⇒ x ≥ 40

Step-by-step explanation:

I have to make at least 360 wraps for a party.

I can make 9 wraps per minute.

So, it will take minutes for me to make the 360 wraps that I need.

If I work for x minutes to make wraps, then I will be able to make 9x wraps.

So, the inequality that models the given condition is

9x ≥ 360

⇒ x ≥ 40 {Dividing both sides by 9}

Therefore, I need to work at least 40 minutes to reach my goal. (Answer)

PLEASE HELP ITS ALREADY LATE

I neees help please
emilio used addition of two rational numbers to solve a problem.Jim used subtraction to solve the same problem. Is it possible that they both solved the problem correctly? Use a specific example to explain

Answers

Answer:

yes it is possible.

for example: +7-7=0

Step-by-step explanation:

Someone please help I will give u 1¢

Answers

Answer:

3rd option

y=1/2 x-3

Amy makes $84 for 12 hours of babysitting her first week on the job. The second week she babysits for 14
hours and earns $98. The third week she babysits for 20 hours and earns $140. She makes a regular
amount of pay per hour. Which equation below could be used to calculate her total earnings each week,
E, based on the number of hours she babysits, n?

Answers

Answer: she won: 322

Step-by-step explanation:

first add all the amounts of money she got for babysitting some devils, and there your equation is DONE

Please help and leave a small explanation!

Answers

The answer is C because A and X are in the same place.
C because the angles match up together. Triangle ABC congruent to triangle XYZ. angle A = angle X, angle B is congruent to Y, angle C is congruent to Z. They match up. The vertex’s (B &Y are congruent) because they are both vertex’s. I hope this makes sense.

What is the distance between 0.6 and 0

Answers

the answer would most likely be .6

Answer:

on the number its between 0 and 1

Step-by-step explanation:

if you jump from 0 to 6 you would have 6 jumps, so it would be 6.

0.6 equals 0.60 so it could ALSO be 60 jumps. (incase u needed that)

Solve the equation for m: m-n=5

Answers

Answer:

m=n+5

Step-by-step explanation:

You just add n on both sides to get m because m is isolated on one side and variables and numbers on the other side of the equal sign.

Answer:

m=n+5

Step-by-step explanation:

m-n=5

add n on both sides

m=n+5

Find the value of StartFraction partial derivative z Over partial derivative x EndFraction at the point​ (1,1,1) if the equation 5 xy plus z Superscript 4 Baseline x minus 3 yz equals 3 defines z as a function of the two independent variables x and y and the partial derivative exists.

Answers

Looks like the given curve is

5xy + zx - 3yz = 3

Differentiate both sides with respect to x :

5y + 4z³xz/∂x + z⁴ - 3yz/∂x = 0

Solve for ∂z/∂x :

(4z³x - 3y) ∂z/∂x = - (5y + z⁴)

z/∂x = - (5y + z⁴) / (4z³x - 3y)

At the point (1, 1, 1), this derivative is

z/∂x (1, 1, 1) = - (5 + 1) / (4 - 3) = -6

In ΔXYZ, the measure of ∠Z=90°, ZY = 4, XZ = 3, and YX = 5. What ratio represents the tangent of ∠X?

Answers

Answer:

[tex]tan\ X= \frac{4}{3}[/tex]

Step-by-step explanation:

Given

[tex]Z=90\°[/tex]

[tex]ZY = 4[/tex]

[tex]XZ = 3[/tex]

[tex]YX = 5[/tex]

Required

Determine tan x

This question can be illustrated using the attached image

Tan of an angle is calculated as:

[tex]tan \theta = \frac{Opposite}{Adjacent}[/tex]

In this case, it is:

[tex]tan\ X= \frac{ZY}{XZ}[/tex]

Substitute values for ZY and XZ

[tex]tan\ X= \frac{4}{3}[/tex]

Hence, the required ratio is 4/3

Answer:

4/3

Step-by-step explanation:

The drawing below shows part of an inch ruler. Each inch is broken into smaller pieces to measure more accurately than whole inches. Label each mark on the ruler with the correct fraction

Answers

This is 14 because it shows how to do this problem form elf to right

Need help with this problem please! I believe it is b but I get a different answer everytime I redo it!

Answers

Answer:

no u right its b

Step-by-step explanation:

You measure 22 watermelons' weights, and find they have a mean weight of 36 ounces. Assume the population standard deviation is 6.9 ounces. Based on this, construct a 95% confidence interval for the true population mean watermelon weight. Give your answers as decimals, to two places

Answers

Answer:

Step-by-step explanation:

Confidence interval formula is expressed as;

CI = xbar ±(z*s/√n)

xbar is the mean = 36

z is the z score at 95% CI = 1.96

s is the standard deviation = 6.9

n is the sample size = 22

Substitute

CI = 36  ±(1.96*6.9/√22)

CI = 36  ±(1.96*6.9/4.6904)

CI = 36  ±(1.96*1.4711)

CI = 36  ± 2.8833

CI = (36 - 2.8833, 36 + 2.8833)

CI = (33.1167, 38.8833)

Hence the 95% CI for the true population mean is 33.12<x<38.88

PLSSSS JUST SOLVE IT WITH THE INSTRUCTION IT GIVES PLSS THANK YOU

Answers

Answer:

area=47cm²

Step-by-step explanation:

Solve for y
3(7y + 4) = 15y + 6y +4+8

Answers

Answer: the are no values of y that make it true

Step-by-step explanation: no solution

Answer:

-4/7

Step-by-step explanation:

Find m L and P is 85
P, M, and N is 23

Answers

Answer:

108 degrees for angle LMN

We know that there are only two angles total. We are looking for angle LMN which includes both angle LMP and angle PMN. To do this, we simply add the values of both. So, 85+23= 108 degrees

Rewrite 14/32 in simplest form.​

Answers

Answer:

7/16

Step-by-step explanation:

Answer:

14/32 = 7/16

Step-by-step explanation:

You divide each number by two

what do expressions (3^3) and (3^4) have in common?​

Answers

Answer:

they are both 3 with different powers

Step-by-step explanation:

Solve the equation. Type just the numeral answer. Do NOT round your solution.
n
= -1.2
-1.5
n=

Answers

Answer:

-2.7

thats the answer but i cant submit without some words lol

Answer:

n= 1.8

Step-by-step explanation:

Solve the following expression:

n/-15 = -1.2

-Multiply -1.5  on both sides:

(-1.5) n/-1.5 = -1.2(-1.5)

n=1.8

Therefore, the final answer is n = 1.8.

Can Y’all Please Help Me ❗️

Answers

Answer:

T

t

f

t

Step-by-step explanation:

Principal = $500 Interest rate =5% Time = 5 years What is the interest earned?​

Answers

Answer:

125dollars

Step-by-step explanation:

follow me say a thanks mark me branliest

Poooo sieieoleltlrllrlr

Answers

Answer:

ol rjlrjlfjcohcoucoycl lj

Answer:

:3

Step-by-step explanation:

Find the length of the missing side. The triangle is not drawn to scale.

Answers

Answer:

c = 10

Step-by-step explanation:

To find the hypotenuse of the triangle you would do the value of leg^2 + leg^2 to find the hypotenuse. Or you can look at it like a^2 + b^2 = c^2. But in order to get the value you would have to find the scare root of c^2.

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

In this case though we are doing 6^2 + 8^2 which equals 100. After calculating that we know c^2 power equals 100. So know you have to find the actual value of c by itself to get your hypotenuse. So we would find the square root of 100 which is 10. Hope this helps!!

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

Important words

Hypotenuse - In geometry, a hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle.

Cathetus (legs of triangle) - Either of the sides that are adjacent to the right angle.

Farmers market Sells grapefruit strawberries and avocado they each have a different cost and are price per box Alyssa Buys two boxes of strawberries and three boxes of avocados and spent $23 London by three boxes of grapefruit and four boxes of strawberries in Spain $19 Tina by seven boxes of grapefruit and five boxes of avocados in Spencer $51 find the missing quantity below

Answers

Answer:

The cost of grapefruits per box is $3, The cost of strawberries per box is $2.5

The cost of avocados per box is $6

Step-by-step explanation:

Let us represent the price of Grapefruits per box = g

Strawberries per box = s

Avocados per box = a

Alyssa buys two boxes of strawberries and three boxes of avocados and spent $23

2s + 3a = 23 ....... Equation 1

a = 23 - 2s

London buys three boxes of grapefruit and four boxes of strawberries in Spain $19

3g + 4s = 19 ....... Equation 2

Tina buys seven boxes of grapefruit and five boxes of avocados in Spencer $51

7g + 5a = 51..... Equation 3

2s + 3a = 23 ....... Equation 1

3g + 4s = 19 ....... Equation 2

7g + 5a = 51..... Equation 3

Substituting 3a = 23 - 2s in Equation 3

a = 23 - 2s/3

7g + 5(23 - 2s/3) = 51

7g +( 115 - 10s/3) = 51

Multiply through by 3

7g × 3 + ( 115 - 10s/3) × 3 = 51 × 3

21g + 115 - 10s = 153

21g -10s = 38 ........ Equation 4

Combining Equation 2 and 4

3g + 4s = 19 ....... Equation 2 × 10

21g -10s = 38 ........ Equation 4 × 4

30 + 40s = 190.. Equation 5

84g - 40s = 152 .... Equation 6

We Add Equation 5 and Equation 6 to eliminate s

114g = 342

g = 342/114

g = $3

To find s, cost 0f straw berries

g = $3

3g + 4s = 19 ....... Equation 2

3(3) + 4s = 19

9 + 4s = 19

4s = 19 -9

4s = 10

s = 10/4

s = $2.5

For find a, the cost of avocados.

7g + 5a = 51..... Equation 3

g = $3

7(3) + 5a = 51

21 + 5a = 51

5a = 51 - 21

5a = 30

a = 30/5

a = $6

g =$ 3, s =$ 2.5 and a = $6.

Therefore:

The cost of grapefruits per box is $3.

The cost of strawberries per box is $2.5 and

The cost of avocados per box is $6

Other Questions
How is the organization of state governments like the national government? ILL GIVE BRAINLY PLZ HELP Fisherman at Reelfoot Lake, in Northwest Tennessee, noted a drop in the number of catfish. What is the most reasonable conclusion, based on the data provided?A)The pH of the rain will not affect the fish that live in the lake.B)The pH of the rain falling into the lake is of level that it is killing the adult fish.C)The pH of the rain falling into the lake is of level that it is affecting fish reproduction.D)The pH of the rain falling into the lake is of level that it is both affecting fish reproduction and killing adult fish. Which excerpt from The Riddle of the Rosetta Stone shows a cause-and-effect relationship?O "The group traveled up the Nile in two boats, stopping along the way to copy inscriptions on temples andmonuments."O "A few experts challenged Champollion's methods and clung to the notion that the hieroglyphs had a purelysymbolic meaning."O "Scribes generally used the hieratic form when they were writing on papyrus, and hieroglyphs when they werecarving inscriptions in plaster or limestone."O "Once they had mastered the three kinds of Egyptian writing, nineteenth-century scholars had the key to morethan three thousand years of Egyptian history." help me write a speech in fact marriage A patient suffered multiple injuries in a severe car accident and has had extensivebleeding as a result. The medical term for an abnormal loss of blood from the circulationis: Which word means 'an unreasonable fear of being in danger'?paranoiaO delicacieswarrensO oblivious Jason invests money in an account paying simple interest. He invests $160 and no money is added or removed from the investment. After one year, he has $164.80. What is the simple percent interest per year? Solve 2x +2>10 quickly please Any help is appreciated!! Which of the following could NOT be the measures of the angles of a triangle?A. 600-60-60O B. 70-50-70OC. 40-400-100D. 30-120-30 PPPPPPPPPPPPPPLEASE OH MY GOD IT'S BEEN AN HOUR Write a short paragraph that identifies and describes how boycotts, the Boston tea party, and the intolerable acts affected the drafting of the declaration of independence, articles of confederation, and shays rebellion How does the alliteration in line 6 affect the poem's tone? It creates an elusive tone that emphasizes how foreign the moon is. It creates a harsh tone that emphasizes the brightness of the moon. It creates a soft and tranquil tone that emphasizes the moon's quietness. It creates a sinister tone that emphasizes the eeriness of the moon. A parking lot is filled with cars and motorcycles. In all, there are 50 vehicles parked there. There is a total of 150 wheels on these vehicles. All cars have four wheels, and all motorcycles have two wheels. How many cars and how many motorcycles are in the parking lot?Pls Help, 1st Brainliest Help! I am in a hurry! Will get brainliest if correct! A fish is swimming at a vibrant rate toward the ocean floor. The equation y=-7x-3 can be used to represent this distinction, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming. Which statement best describes the depth of the fish,given this equation. A.From a starting position of 7 meters below sea level, the fish is descending 3 meters per second.B.From a starting position of 7 meters below sea level, the fish is ascending 3 meters per second .C.From a starting position of 3 meters below sea level, the fish is descending 7 meters per second. D.From a starting position of 3 meters below sea level, the fish is ascending 7 meters per second. Its 8:20, you add 175 minutes to the time. What time is it? which of the following best explains why a universalizing religion would diffuse into a region? please help asap!! thank you :) Why are cause and effect graphic organizers useful?a.Because they show relationships among eventsc.Because they tell us what will happen in the futureb.Because they identify when time begand.All of thesePlease select the best answer from the choices providedABCD can someone help?? meeeee not thelp just whats the answer?