At the end of a snowstorm, Jamal had 18 inches of snow on his lawn. The temperature then increased and the snow began to melt at a constant rate of 2.5 inches per hour. Assuming no more snow was falling, how much snow would Jamal have on his lawn 5 hours after the snow began to melt? How much snow would Jamal have on his lawn after tt hours of snow melting?

Answers

Answer 1

Answer:

Part 1)

5.5 inches.

Part 2)

[tex]y=-2.5t+18[/tex]

Step-by-step explanation:

We can write a linear equation to model the function.

Let y represent the inches of snow and let t represent the number of hours since the end of the snowstorm.

A linear equation is in the form:

[tex]y=mt+b[/tex]

Since there was 18 inches of snow in the beginning, our y-intercept or b is 18.

Since it melts at a constant rate of 2.5 inches per hour, our slope or m is -2.5.

Substitute:

[tex]y=-2.5t+18[/tex]

This equation models how much snow Jamal will have on his lawn after t hours of snow melting.

So, after five hours, t = 5. Substitute and evaluate:

[tex]y=-2.5(5)+18=5.5\text{ inches}[/tex]

After five hours, there will still be 5.5 inches of snow.


Related Questions

what is the slope of this graph?? :,)

Answers

Answer:

1/2

Step-by-step explanation:

This line is going up towards the right- that makes it positive. It is increasing. So it can't be negative or going "down"

The question wants to see if you know the direction of the line.

Rectangle ABCD translates 4 units down and 2 units to the right to form rectangle A'B'C'D'. The vertices of rectangle ABCD are labeled in alphabetical order going clockwise around the figure. If AB = 3 units and AD = 5 units, what is the length of B'C'?

Answers

Answer:

The length of BC is 14 units.

Step-by-step explanation:

[tex]hope \: \: it \: \: helps} \beta \alpha \infty [/tex]

The length of B'C' is 0 units.

What is translation?

It is the movement of the shape in left, right, up, and down direction.

The translated shape will have the same shape and shape.

There is a positive value when translated to the right and up.

There is a negative value when translated to the left and down.

We have,

The length of AD = 5 units.

Since the rectangle translates down by 4 units,

The length of A'D' =5 units.

The width of the original rectangle is AB, which is 3 units.

Since the rectangle translates to the right by 2 units,

The width of the new rectangle = 3 units.

Now,

The length of B'C' is the same as the length of AD', which is 5 units.

Subtracting 5 units from 5 units gives us a length of 0 units.

Thus,

The length of B'C' is 0 units.

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What additional information do you need to prove triangle ABC ~ triangle JKL

Answers

Answer:

no additional information will help because the triangles are not similar

Step-by-step explanation:

Similar triangles have 3 pairs of congruent, corresponding angles.

Let's look at triangle ABC. Two angle measures are given: 51 deg and 63 deg.

180 - 51 - 63 - 66

The measure of the thrid angle is 66 deg.

One anlgle measure of triangle JKL is given. It is 66 deg.

Since <J is not congruent to any angle of triangler ABC, the triangles are not similar.

Answer: no additional information will help because the triangles are not similar

Convert 7,34 cm to meters​

Answers

Answer:

Value of 7.34 centimeter into meter is 0.0734

Step-by-step explanation:

Given value;

7.34 centimeter

Find:

Value of 7.34 centimeter into meter

Computation:

We know that

⇒ 1 centimeter = 0.01 meter

So,

⇒ 7.34 centimeter = 7.34 x 0.01

⇒ 7.34 centimeter = 7.34 x 1/100

⇒ 7.34 centimeter = 7.34 / 100

⇒ 7.34 centimeter = 0.0734 meter

Value of 7.34 centimeter into meter is 0.0734

What is the probability that a marble chosen at random is shaded or is labeled with a multiple of 3?

Two-elevenths
Three-elevenths
Five-elevenths
Six-elevenths

Answers

The probability that a marble chosen at random is shaded or is labeled with a multiple of 3 is 6/11.

We have given that options

Two-elevenths

Three-elevenths

Five-elevenths

Six-elevenths

We have to determine the probability that a marble chosen at random is shaded or is labeled with a multiple of 3.

What is the probability?

Probability is an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.

Therefore the probability that a marble chosen at random is shaded or is labeled with a multiple of 3 is 6/11.

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6/11

Step-by-step explanation:

A book store had 30816 exercise books which were paclced in cartons each carton contained 24 exercise books the mass of an empty carton was 2kg and a full carton 12kg

Answers

30,816 books would go into 1,284 containers which would weigh 15,408kg with all the books in them or 2,568kg with the books not in them.

Given that E is the universal set and that A and B are subsets of E. simplify An(B-A)​

Answers

Answer:

Answer a h bro ok bye bro good luck

Arithmetic or geometric 18,13,8

Answers

Answer:

That is Arithmetic

Step-by-step explanation:

Arithmetic Sequence is described as a list of numbers, in which each new term differs from a preceding term by a constant quantity. Which is -5 in this case.

Hope this helps

f h(x) = x – 7 and g(x) = x2, which expression is equivalent to (g circle h) (5)?

Answers

Answer:

here is your answer

Step-by-step explanation:

here is your answer

Find the volume and surface area of the rectangular solid. The length is 4 meters, the width is 6 meters, and the height is 3 meters.

Answers

Answer:

Volume = h * w * l (height, width, length)

Volume = 4* 6 * 3

Volume = 72 cube meters

Surface area is finding the are of every 2D plane on the solid.

2(w * h) + 2(l*h) + 2(w * l)

Surface are = 108 square meters

At 3:15 p.m., Sten began packing snacks to take to the park.

He spent 20 minutes packing snacks for his friends.
He spent 5 minutes loading the snacks into his backpack.
Using the number line, how many minutes does he now have until he leaves for the park at 4:00 p.m.?

Answers

Answer:

20 minutes

Step-by-step explanation:

20 minutes after 3:15 is 3:35, then 5 more minutes is 3:40. Therefore Sten has 20 minutes left until 4pm.

I need help with this problem

Answers

Answer:

x = 21, y = 40

Step-by-step explanation:

The angle above (7x - 13) is (2x + 4 ) ← alternate angle

(7x - 13) and (2x + 4) are adjacent angles and sum to 180° , then

7x - 13 + 2x + 4 = 180

9x - 9 = 180 ( add 9 to both sides )

9x = 189 ( divide both sides by 9 )

x = 21

Then

2x + 4 = 2(21) + 4 = 42 + 4 = 46

(2x + 4) and (3y + 14) are adjacent angles and sum to 180° , so

46 + 3y + 14 = 180

60 + 3y = 180 ( subtract 60 from both sides )

3y = 120 ( divide both sides by 3 )

y = 40

Which angle is coterminal with a 130° angle? A. An angle measuring –130° O B. An angle measuring 310° C. An angle measuring 490° O D. An angle measuring 480°​

Answers

Answer:

Option C

Step-by-step explanation:

Positive coterminal angle of 130° is

(130+360)°

= 490°

Answered by GAUTHMATH

Answer:

An angle measuring 490

Step-by-step explanation:

it was right

The value of the expression
2x²
+ x(100 - 15x) when x = 5 is
Х
0 119.
0 129.
135.
0 145.

Answers

Answer:

f(5) = 75

Step-by-step explanation:

The function is f(x) = 2x^2 + x(100 - 15x).

Evaluate this function at x = 5:  replace each instance of x with 5:

f(5) = 2(5)^2 + 5(100 - 15·5)

Order of operations rules require evaluating the expression enclosed in parentheses first.  We get:

f(5) = 2(5)^2 + 5(100 - 15·5)

      = 50       + (100 - 75), so that:

f(5) = 50 + 25 = 75

f(5) = 75

Answer:

175?

Step-by-step explanation:

20 POINTS- Marlene surveyed her classmates asking them whether they prefer to vacation during spring break or summer and the type of vacation preferred. The results are shown in the table.
Marlene surveyed her classmates asking them whether they prefer to vacation during spring break or summer and the type of vacation preferred. The results are shown in the table.

A 4-column table with 5 rows titled Vacation Preferences. Column 1 has entries beach, big city, camping, skiing, total. Column 2 is labeled spring with entries 35, 7, 14, 4, 60. Column 3 is labeled summer with entries 10, 2, 8, 10, 30. Column 4 is labeled total with entries 45, 9, 22, 14, 90.

Complete each statments.
About ____% of the students surveyed prefer a spring camping vacation.
About ____% of the students surveyed prefer a big city vacation.

Answers

Answer:

The answers for edge 2021 is

Step-by-step explanation:

16 and 10

12 Jy
10
Which statement is true regarding the graphed
functions?
g
18
f(
4
Of(0) = 2 and g(-2) = 0
Of(0) = 4 and g(-2) = 4
Of(2)= 0 and g(-2) = 0
Of(-2) = 0 and g(-2) = 0
2
3 4
5 6 x
t6 -5 -3 -2 -12
-4
16
8
10
-121
Mark this and retum
Save and Exit
Next
Submit

Answers

Given:

The graphs of the function f(x) and g(x).

To find:

The correct statement for the given graph.

Solution:

From the given graph it is clear that, the function f(x) passes through the points (0,4) and (2,0). So,

[tex]f(0)=4[/tex]

[tex]f(2)=0[/tex]

[tex]f(-2)\neq 0[/tex]

The graph of the function g(x) passes through the point (-2,0). So,

[tex]g(-2)=0[/tex]

Since [tex]f(2)=0[/tex] and [tex]g(-2)=0[/tex], therefore the correct option is C.

The graphs of the given functions, f(x), and g(x), bounces off the x-axis.

Correct response:

The true statement regarding the graphed function is the option;

[tex]\underline{f(2) = 0 \ and \ g(-2) = 0 }[/tex]

Method used to find the true statement

The properties of the graph of f(x) and g(x) are;

When x = 0, the value of f(x) is; f(0) = 4

Therefore;

f(0) = 4

When x = 2, the value of f(x), which is the point on the graph corresponding to a x-value of 2 is; [tex]\underline{f(2) = 0}[/tex]

When x = 0, g(x) value is g(0) = 4

When x = -2, g(x) is; g(-2) = 0

The correct option is therefore;

[tex]\underline{f(2) = 0 \ and \ g(-2) = 0}[/tex]

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Need help finding the end behavior !

Answers

Let's focus on f(x) = |x| for now.

Recall that the absolute value of any number is never negative.

Some examples: |-7| = 7 and |5| = 5

So as x gets bigger in the positive direction, so does y. That explains the notation [tex]x \to \infty, \ f(x) \to \infty[/tex]. Informally, we can say "the graph rises to the right".

Similarly, we have [tex]x \to -\infty, \ f(x) \to \infty[/tex] which means it "rises to the left". Both endpoints rise to positive infinity. The left side of the graph goes up forever because again the result of any absolute value function is never negative. So if we plug in say negative a million, then the result is positive a million. In a sense, the V shape absolute value function is almost like a parabola. Both have the exact same end behavior on both sides.

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

Now let's move onto g(x) = 2x^2+4

The only thing that matters when determining the end behavior is the leading term. The leading term here is 2x^2

The even exponent means the endpoints either A) go up together or B) go down together. We go with case A because the leading coefficient is positive. Like I mentioned earlier, this parabola mimics the V shaped absolute value graph in terms of the end behaviors being the same.

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

Lastly, let's focus on h(y) = 3y^4-2

I'm not sure why your teacher is using y when the others were using x. I'll just swap y for x to get h(x) = 3x^4-2

Like the g(x) function, the largest exponent is even, so the left and right end behaviors go in the same direction. The positive leading coefficient means we have the endpoints going upward toward positive infinity.

A surveyor is estimating the distance across a river. The actual distance is . The surveyor's estimate is . Find the absolute error and the percent error of the surveyor's estimate. If necessary, round your answers to the nearest tenth.

Answers

Question:

A surveyor is estimating the distance across a river. The actual distance is 284.5 m. The surveyor's estimate is 300 m. Find the absolute error and the percent error of the surveyor's estimate. If necessary, round your answers to the nearest tenth.

Answer:

(i) Absolute error = 15.5m

(ii) Percent error = 5.5%

Step-by-step explanation:

Given:

Actual measurement of the distance = 284.5 m

Estimated measurement of the distance by the surveyor = 300 m

(i) The absolute error is the magnitude of the difference between the estimated value measured by the surveyor and the actual value of the distance across the river.

i.e

Absolute error = | estimated value - actual value |

Absolute error = | 300m - 284.5m | = 15.5m

(ii) The percent error (% error) is given by the ratio of the absolute error to the actual value then multiplied by 100%. i.e

% error = [tex]\frac{absoluteError}{actualValue}[/tex] x 100%

% error = [tex]\frac{15.5}{284.5}[/tex] x 100%

% error = 0.05448 x 100%

% error = 5.448%

% error = 5.5%  [to the nearest tenth]

if x represents the number since 1988 what does x=32 represents

Answers

Answer: The year 2020

Explanation:

x is the number of years since 1988

x = 0 represents the year 1988

x = 1 is the year 1988+1 = 1989

x = 2 is the year 1988+2 = 1990

etc

x = 32 is the year 1988+32 = 2020

Calculate the sample standard deviation and sample variance for the following frequency distribution of hourly wages for a sample of pharmacy assistants.

Class Frequency
8.26 20
10.01-11.75 38
11.76 36
13.51-15.25 25
15.26-17.00 27

Sample Variance: ___________
Sample Standard Deviation: _________

Answers

Answer:

(a) The sample variance is 16.51

(a) The sample standard deviation is 4.06

Step-by-step explanation:

Given

[tex]\begin{array}{cc}{Class} & {Frequency} & 8.26 - 10.00 & 20 &10.01-11.75 & 38 &11.76 - 13.50& 36 & 13.51-15.25 &25&15.26-17.00 &27 &\ \end{array}[/tex]

Solving (a); The sample variance.

First, calculate the class midpoints.

This is the mean of the intervals.

i.e.

[tex]x_1 = \frac{8.26+10.00}{2} = \frac{18.26}{2} = 9.13[/tex]

[tex]x_2 = \frac{10.01+11.75}{2} = \frac{21.76}{2} = 10.88[/tex]

[tex]x_3 = \frac{11.76+13.50}{2} = \frac{25.26}{2} = 12.63[/tex]

[tex]x_4 = \frac{13.51+15.25}{2} = \frac{28.76}{2} = 14.38[/tex]

[tex]x_5 = \frac{15.26+17.00}{2} = \frac{32.26}{2} = 16.13[/tex]

So, the table becomes:

[tex]\begin{array}{ccc}{Class} & {Frequency} & {x} & 8.26 - 10.00 & 20&9.13 &10.01-11.75 & 38 &10.88&11.76 - 13.50& 36 &12.63& 13.51-15.25 &25&14.38&15.26-17.00 &27 &16.13\ \end{array}[/tex]

Next, calculate the mean

[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]

[tex]\bar x = \frac{20*9.13 + 38 * 10.88+36*12.63+25*14.38+27*16.13}{20+38+36+25+27}[/tex]

[tex]\bar x = \frac{1845.73}{146}[/tex]

[tex]\bar x = 12.64[/tex]

Next, the sample variance is:

[tex]\sigma^2 = \frac{\sum f(x - \bar x)^2}{\sum f - 1}[/tex]

So, we have:

[tex]\sigma^2 = \frac{20*(9.13-12.63)^2 + 38 * (10.88-12.63)^2 +...........+27 * (16.13 -12.63)^2}{20+38+36+25+27-1}[/tex]

[tex]\sigma^2 = \frac{2393.6875}{145}[/tex]

[tex]\sigma^2 = 16.51[/tex]

The sample standard deviation is:

[tex]\sigma = \sqrt{\sigma^2}[/tex]

[tex]\sigma = \sqrt{16.51}[/tex]

[tex]\sigma = 4.06[/tex]

In the figure, ∆ALM ≅ ∆BLM by Side-Angle-Side (SAS). Which angles are congruent by CPCTC?

Answers

Answer:

C. L LAM = L LBM

Step-by-step explanation:

__________

What is the quotient of the fractions below? 2/3÷5/4

Answers

answer:

2/3÷5/4 is equal to 8/15

the answer here is 8/15

WILL MARK YOU IF YOU ANSWER SO PLEASE HELP

Answers

Answer:

x= 83

first take vertical opposite angle then take corresponding angles then you're done

Answer:

x value is 83 degree

because they both are alternate exterior angle

need help with algebra question ‼️

Answers

Answer:

c

Step-by-step explanation:

There are three types of variations.

1. Direct

2. Inverse

3. Joint

There is positive proportionality is two variables are positively related to each other.

The equation for direct proportionality =

y = bx

where y = dependent variable

b = constant

x = independent variable

if two variables vary inversely, there is a negative relationship between both variables. the increase in one variable leads to a decrease in the other variable

the equation that represents inverse proportion :

 where b = constant of proportionality

Joint variation occurs when the dependent variables value is determined by two or more values

For example, the volume of a cylinder is dependent on the value of the radius and height

which of the following does not describe a rigid motion transformation

Answers

Answer:

The answer to this question is dilating the figure by a scale factor of one half.

Find the volume. Help please it’s due tomorrow

Answers

Answer:

2cm

Step-by-step explanation:

vbjufdxcvhjjkknvxzdhjkbcxdf

Admission prices for a concert are $19 for adults and $11 for students. The concert will not be booked unless total ticket sales are at least $4500. Write the inequality that
expresses this information. (Let the x refer to the number of adult tickets and the y refer to the number of student tickets.)

Answers

Answer:  [tex]19x+11y \ge 4500[/tex]

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

Explanation:

x = number of adults

y = number of students

The expression 19x represents the money from all the adults while 11y represents the money from all the students (since we get $19 per adult and $11 per student).

In total, the money collected is 19x+11y dollars.

We want this total to be $4500 or larger.

So that's how we get the final answer of [tex]19x+11y \ge 4500[/tex]

Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The results from 108 disks are summarized as follows: Shock Resistance Scratch Resistance High Low High 55 10 Low 13 30 Let A denote the event that a disk has high shock resistance, and let B denote the event that a disk has high scratch resistance. If a disk is selected at random, determine the following probabilities. P(A)=86/100P(B)=79/100P(A')=7/50P(A U B)=95/100P(A' U B)= ???

Answers

Answer:

i) 0.63

ii) 0.37

iii) 0.37

iv) 0.77

v) 0.51

Step-by-step explanation:

Total resistance value = 108

A = high shock resistance

B = high scratch resistance

when a disk is selected at random

i) P(A) = P ( high shock resistance )

          = ( 55 + 13 ) / 108

          = 68/108 =  17/27   = 0.63

ii) P( B ) = P ( high scratch resistance )

            = ( 10 + 30 ) / 108

            = 40 / 108 = 10/27  = 0.37

iii) P(A') = 1 - P(A)

            = 1 - 17/27 = 10/27  = 0.37

iv) P( A U B ) = P(A) + P(B) - P( A n B )

                    = 0.63 + 0.37 - 0.233

                    = 0.766 ≈ 0.77

v) P( A' U B ) = P(A') + P(B) - P(A n B )

                     = 0.37 + 0.37 - 0.233

                     = 0.507 ≈ 0.51

What is the probability that they both choose a card labeled dog?

Answers

Answer:

0.16

Step-by-step explanation:

As it is stated that the card having the label of a dog has a probability of 0.4. Hence, the probability that they both choose a card labeled dog is 0.16.

If the sum of the interior angle of a polygon is 2700 how many sides does the polygon have??

Answers

17 side how many sides does a polygon have if the sum of its angle measures is 2700. So there are 17 sides. Answer
Answer:  17 sides

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

Work Shown:

S = sum of all interior angles of a polygon

S = 180(n-2)

2700 = 180(n-2)

180(n-2) = 2700

n-2 = 2700/180

n-2 = 15

n = 15+2

n = 17

There are 17 sides to this polygon.

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

Extra info (optional section):

We call this a 17-gon. Simply start with "n-gon" and replace n with 17.

You could also call it a heptadecagon

hepta = 7

deca = 10

so heptadeca means 17. Personally, I prefer 17-gon as the better name since it's easier to remember.

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show that the slope of the line joining the points A(1,1) and B(1,1+h)^2 is 2+h. Proteins and carbohydrates have many functions in the body of an organism. Specific proteins and carbohydrates perform specific tasks. Information about a protein and a carbohydrate is given below. How are ferritin and glycogen similar in their primary functions for an organism?A. Both store materials needed by the organism.B. Both store energy used by the organismC. Both support the structure of the organismD. Both store information for the organism Find sin , cot , and csc , where is the angle shown in the figure.Give exact values, not decimal approximations. Suppose the government imposes a tax on three products with differing demand elasticities. Match the product to the group that will most likely bear the incidence of the tax.a. the government b. producers c. consumers and producers d. consumers 1. highly inelastic 2. somewhat elastic 3. highly elastic To pop a balloon you stab it with a pencil. If the area of the pencil tip is .01 cm and the pressure applied by the pencil to the balloon is 100 N/ cm, how hard (what force) must you push on the pencil to make the balloon pop? HELP ME PLEASE IF YOU DO YOU WILL GET BRAINLESS AND PLEASE EXPLAIN THE BEST YOU CAN 6. La profesora es de Alemania; esNeed help with the rest also. What is happening in the cartoon? Identify each expression with a sum of x2 + 3x +1. A toy car that is 0.12 m long is used to model the actions of an actual size car that is 6 m long which ratio shows the relationship between the sizes of the model and the actual car ? The abdominopelvic cavity has ________ quadrants and ________ regions. 6; 10 4; 9 9; 4 4; 2 The pH of a certain orange juice is 3.33.Calculate the +ion concentration. Discuss five features of government The length of a rectangle should be 9 meters longer than 7 times the width. If the length must bebetween 93 and 163 meters long, what are the restrictions for the width, p?Write the solution set as an algebraic inequality solved for the variable. What is the purpose of Nightmare in yellow by Fredric Brown- Need urgent, Thanks. Which idea is an aspect of Carnegies Gospel of Wealth that is based on social Darwinism? A)The wealthy are best suited to help the less fortunate. B)The wealthy should not show off their wealth. C)The wealthy should pay their workers fairly for their efforts.D) The wealthy are better suited to having large amounts of money. (MAX POINTS AVAILABLE) What are some things that your friends did this week? Write 5 complete Spanish sentences describing what they did. Don't forget to conjugate your verbs in the preterite tense! (Use only -er verbs) A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 80 pounds. The truck is transporting 60 large boxes and 65 small boxes. If the truck is carrying a total of 4975 pounds in boxes, how much does each type of box weigh? X Large box: pounds Small box: ( pounds 5 ? On a coordinate plane, a parabola opens up. It goes through (negative 3.25, 5), has a vertex of (1.75, negative 2.75), and goes through (6.25, 5). Solid circles appear on the parabola at (negative 3, 4), (0, negative 2), (1.75, negative 2.75), (3, negative 2), (6, 4).Which is f(6) for the quadratic function graphed?20.51.54 A culture of bacteria has an initial population of 41000 bacteria and doubles every 5 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t =P 0 2 dt , where P_tP t is the population after hours, P_0P 0 is the initial population, is the time in hours and is the doubling time, what is the population of bacteria in the culture after 14 hours, ?