At the end of a snow storm, Mason saw there was a lot of snow on his front lawn. The temperature increased and the snow began to melt at a steady rate. There was a depth of 10 inches of snow on the lawn when the storm ended and then it started melting at a rate of 0.5 inches per hour. Write an equation for the function S(t), representing the depth of snow on Mason's lawn, in inches, t hours after the snow stopped falling.

Answers

Answer 1

Answer:

S(t) = 10 - 0.5t

Step-by-step explanation:

initial depth of snow = 10 inches

melting rate =  0.5 inches per hour

it means that, in one hour snow depth will decrease by 0.5 inches

thus , in t hours  snow depth will decrease by 0.5*t = 0.5t inches

Thus, depth of snow after t hours can be calculated by

we will take initial depth of snow and them subtract the depth of snow which melted in t hours.

we are subtracting as snow is melting and will thus decrease the depth of snow

depth of snow after t hours can = initial depth of snow - decrease of the depth of snow after snow melts for t hours

depth of snow after t hours can = 10 inches - 0.5t inches

                                                       =  (10 - 0.5t )inches

Thus ,S(t), representing the depth of snow on Mason's lawn, in inches, t hours after the snow stopped falling is S(t) = 10 - 0.5t


Related Questions

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

Answers

Answer:

x = 3/2            x = -5/2

Step-by-step explanation:

(2x+3) ^2 - 4(2x+3) - 12 = 0

Let m = 2x+3

m^2 - 4m - 12 = 0

Factor

(m-6) (m+2) = 0

Using the zero product property

m-6 = 0    m+2 =0

m = 6    m = -2

Substitute m = 2x+3 back into the equation

2x+3 = 6        2x+3 = -2

2x = 3            2x = -5

x = 3/2            x = -5/2

Which linear inequality is represented by the graph?


y > Two-thirdsx – 2

y < Two-thirdsx + 2

y > Two-thirdsx + 1

y < Two-thirdsx – 1

Answers

The inequality that represents the graph is y < (2/3)x - 1. Then the correct option is D.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The two points are given below.

(3, 1) and (-3, -3)

The inequality is given below.

(y + 3) < [(1 + 3) / (3 + 3)](x + 3)

y + 3 < (2/3)(x + 3)

y + 3 < (2/3)x + 2

y < (2/3)x - 1

The inequality that represents the graph is y < (2/3)x - 1. Then the correct option is D.

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ6

Answer:

D fasho

Step-by-step explanation:

which equation be used to find the surface area of the cylinder

Answers

Step-by-step explanation:

Is this the one you needed??

Please help me with this !:(

Answers

Answer:

75.062c[tex]m^{2}[/tex]

Step-by-step explanation:

To find the missing side use pythagorean theorem

So [tex]6^{2} +b^2=8.5^2[/tex]

Solve for b, b= 6.021

To find the area use [tex]\frac{1}{2}[/tex]bh

So [tex]\frac{1}{2}[/tex](6.021+19)(6)= area

And you get 75.062

Drag vertices B and C of the triangle. Then, conjecture about the relationship between angle measures and side lengths in a triangle.



If the angle measure is the largest of the triangle, what do you know about the side opposite?



It is the length.



If a side is the shortest of the triangle, what do you know about the angle opposite that side?



It is the degree measure

Answers

Answer:

1. longest

2. smallest

For the triangle mentioned here, the following is what will be obtainable based on the conjecture about relationship between sides and angle measures of a triangle:

You will know that for the largest angle measure, the side opposite the angle will be the longest side.You will know that for the shortest side in the triangle, the angle opposite it will be the smallest angle measure.

Recall the conjecture about the relationship between the sides and angles of a triangle:

The largest angle in a triangle always faces the longest side of the triangle.

The smallest angle in a triangle always faces the shortest side of the triangle.

Thus, for the triangle mentioned here, the following is what will be obtainable based on the conjecture about relationship between sides and angle measures of a triangle:

You will know that for the largest angle measure, the side opposite the angle will be the longest side.You will know that for the shortest side in the triangle, the angle opposite it will be the smallest angle measure.

Learn more here:

https://brainly.com/question/10695554

Substitute with One Solution

2x -y=-11
6x + y = 3​

Answers

Answer:

x=1, y = -3

Step-by-step explanation:

2x -y=-11

6x + y = 3​

Add the two equations together

2x -y=-11

6x + y = 3​

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

8x  = 8

Divide by 8

8x/8 = 8/8

x= 1

Now find y

6x+y = 3

6(1) +y = 3

6+y =3

Subtract 6 from each side

6+y-6 = 3-6

y = -3

how many cylindrical glasses 6cmin diameter and 10cm deep can be filled from cylindrical jug 10cm in diameter and 18cm deep​

Answers

Answer:

Step-by-step explanation:

So we need to divide the volume of the cylindrical glasses by the cylindrical jugs to see how many we can fill.

The equation to find the volume of a cylinder is Height*Area of Circle

To find the area of a circle is: [tex]\pi r^{2}[/tex]

In this senario "r" (radius) is 3 (d/2)

Volume for cylindrical glass:

hx[tex]\pi r^{2}[/tex]

= 10x 3.14x 3^2

= 10x3.14x 9

= 282.6[tex]cm^{3}[/tex]

Now for the cylindrical jug:  r= 5 and h=18

hx[tex]\pi r^{2}[/tex]

= 18x3.14x5^2

= 18x3.14x25

= 1413[tex]cm^{3}[/tex]

Now finally we divide them:

1413/282.6

= 5

So they can fill 5 cylindrical glasses :)

Franco made a dozen muffins for his party. Upon taking them out of the oven,
he noticed that 2 of the muffins were badly burned. Franco served of the remaining muffins.
10
Which equation shows the fraction of the non-burned muffins that remains?

Answers

Answer:

Option B.

Step-by-step explanation:

This question is incomplete; find the complete question with the attachment.

Franco made number of muffins = a dozen

A dozen muffins = 12 muffins

Number of muffins were burned = 2

Remaining muffins = 12 - 2 = 10

Franco served 7 of the remaining non-burned muffins,

Fraction of muffins served = [tex]\frac{7}{10}[/tex]

Remaining muffins = 3

Fraction of remaining muffins = [tex]\frac{3}{10}[/tex]

Fraction of remaining non-burned muffins we can get from,

[tex]\frac{10}{10}-\frac{7}{10}=\frac{3}{10}[/tex]

Option B is the correct equation.

is this correct? if not what is the answer

Answers

Answer:

x = 50

Step-by-step explanation:

You are correct.

x + m<PQS + m<PSQ = 180

m<PQS = m<QRT = 70

m<QST + m<PSQ = 180

120 + m<PSQ = 180

m<PSQ = 60

x + 70 + 60 = 180

x + 130 = 180

x = 50

Great job!

can someone help me evaluate this?

Answers

Answer:

[tex]\frac{4}{9}[/tex]

Step-by-step explanation:

So first rewrite the inside of the parentheses as improper fractions:

[tex]\frac{8}{9}[/tex] ÷ [tex](\frac{25}{4}*\frac{16}{5}-18)[/tex]

Now simplify the inside:

[tex]\frac{8}{9}[/tex] ÷ 2

Which is:

[tex]\frac{8}{18}=\frac{4}{9}[/tex]

PLEASE HELP IM DESPERATE IVE BENN WORKING ON THIS FOR THE PAST 48 HOURS I AM MARING BRAINIEST!: A constructor is measuring the perimeter of a plot for a building. 31% of the way around the perimeter, the constructor has measured 14 meters. How far around is the entire perimeter? Round your answer to the nearest hundredth.

Answers

Answer:

P = 45.16 meters

Step-by-step explanation:

Let the perimeter by P

31% of P is 14 meters

P*31% = 14 meters

Change to decimal form

P*.31 = 14

Divide each side by .31

P*.31/.31 = 14/.31

P =45.16129032

Rounding to the nearest hundredth

P = 45.16 meters

I need to know what 9 plus 10 is.

Answers

Answer:

9 + 10 = 19

Step-by-step explanation:

Lets say you have 9 party guests. 10 more come to the party. Now you would have 19. (If it isn't 19 then 21)

Hope this helps.

Answer:19.

Step-by-step explanation: We arnt gonna put down a meme.

Water is considered “safe to drink” when the bacteria population in the water is less than 75 parts per liter. “Treatment C” can kill bacteria at a rate of 11.5% per hour. If creek water is contaminated with a bacteria level of 1000 parts per liter, how long will it take to make the water safe to drink if treated with “Treatment C”?

Answers

Answer:

Step-by-step explanation:

lol

What are the solution of the equation 3x2 - 5x + 2 = 0 ?​

Answers

Answer: x = -1.6

Step-by-step Explanation:
Move -5x to the other side of the equal sign so it is now 3x2+2=-5x
3x2=6
6+2=8
Then you divide both sides,
-5x/-5 = 8/-5

X = -1.6

Answer:

1 and 2/3

Step-by-step explanation:

Brandon has 32 pieces of paper. Sophia has 2 times as many pieces of paper as Brandon.
How many pieces of paper does Sophia have? Enter the answer in the box.
pieces of paper

Answers

Answer:

Sophia has 64 pieces of paper.

Step-by-step explanation:

Brandon = 32 pieces of paper.

2(Sophia) x 32 = 64 pieces of paper.

Which is not a way to name a line, (XYZ)?

Answers

Answer:

YZX, YXZ, ZXY, XZY

Step-by-step explanation:

major help please :)

Answers

Answer:

B.

Step-by-step explanation:

[tex](\frac{x}{y} )^{a} = \frac{x^{a}}{y^{a}}[/tex]

[tex](\frac{-11}{14} )^{5} = \frac{(-11)^{5}}{14^{5}}[/tex]

khan academy is giving me only this explanation but won't go into detail and I cannot understand it for the life of me. how do I know what number to multiply both variables by? what exactly does expanding the parentheses mean? help​

Answers

Answer:

12 - 4i

Step-by-step explanation:

-2i ( 2+6i)

Distribute

-2i * 2 + -2i *6i

-4i - 12 i^2

We know that i^2 = -1 so replace it

-4i - 12(-1)

-4i + 12

Then put in the order a+bi  where the real number comes first and the imaginary number comes last

12 - 4i

Which side of ADEF is the longest?

Answers

Answer:

B: EF

Step-by-step explanation:

This is a right triangle. In a right triangle there are always 2 legs and 1 hypotenuse. The hypotenuse is the side opposite the right angle and is always the longest side. Therefore, EF is the longest side.

Hope this helps! (Please consider giving brainliest)

Em um jogo de Xbox 360, Artur conquistou 50.000 pontos. Luiz Diego conquistou 7.645 pontos a menos que Artur no mesmo jogo. Quantos pontos conquistou Luiz Diego? *

Answers

Answer:

350.645 pontos

Step-by-step explanation:

Answer:

I'll shall take

Step-by-step explanation:

And I shall leave

harrison pours sand into a bucket at a constant rate. the graph shows the total weight of the bucket and the sand over time. after 10 seconds, the total weight is 50 ounces what is an equation of the line parrallel to the line on the graph that passes to the graph that passes through (2, 25)

Answers

Answer:

The answer is "[tex]\bold{y=4x+17}[/tex]".

Step-by-step explanation:

In the given statement the graph is missing. So, the correct solution to this question can be described as follows:

Given

graph point: [tex]\bold{(2, 25)}[/tex]

Line points: [tex]\bold{(0,10), \ \ and \ \ (10,50)}[/tex]

The Formula of slope:

[tex]\boxed{M= \frac{y_2-y_1}{x_2-x_1}}\\\\\Rightarrow x_1= 0, y_1= 10 \\\\\Rightarrow x_2= 10, y_2=50\\\\\Rightarrow M= \frac{50-10}{10-0}\\\\\Rightarrow M=\frac{40}{10}\\\\\Rightarrow M= 4\\[/tex]

Assuming  point: (x,y)

Graph point: (2,25)

M= 4

Equation:

[tex]\Rightarrow \frac{25-y}{2-x}=4\\\\\Rightarrow 25-y=4(2-x)\\\\\Rightarrow 25-y=8-4x\\\\\Rightarrow y= 4x-17\\[/tex]

Please tell me the answer for
Factorise 15p square - 7q square

Answers

Step-by-step explanation:

15p square - 7q square

square(15p-7q)

hope it helps

Complete the factorization of 3x ^ 2 - 10x + 8 3x^ 2 -10x+8=(x- Box x-4)

Answers

Answer:

[tex]3x^2-10x+8=(x-x_1)(x-x_2)=(x-2)(x-\frac{4}{3})[/tex]

Step-by-step explanation:

The general form of a quadratic polynomial is given by:

[tex]ax^2+bx+c[/tex]    (1)

You have the following polynomial:

[tex]3x^2-10x+8[/tex]    (2)

In order to complete the factorization you can use the quadratic formula, to obtain the roost of the polynomial. The quadratic formula is given by:

[tex]x_{1,2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]    (3)

By comparing the equation (1) with the equation (2) you obtain:

a = 3

b = -10

c = 8

Then, you replace these values in the equation (3):

[tex]x_{1,2}=\frac{-(-10)\pm \sqrt{(-10)^2-4(3)(8)}}{2(3)}\\\\x_{1,2}=\frac{10\pm2}{6}\\\\x_1=2\\\\x_2=\frac{4}{3}[/tex]

Then, the factorization of the polynomial is:

[tex]3x^2-10x+8=(x-x_1)(x-x_2)=(x-2)(x-\frac{4}{3})[/tex]

Given the function fx=x^2-4x-5 identify the zeros using factorization

Answers

Answer:

x = 5,-1

Step-by-step explanation:

(x-5)(x+1)

WA
Line segment WX is the radius of circle X, and line
segment ZY is the radius of circle Y. Points W, X, C, Y, and
Z are all on line segment WZ.
What is the area of circle C, which passes though points W
and Z?
X
O 81 T units?
10
O 164 TT units?
O 324 units?
O 1296 units
Mark this and retum
Save and Exit
Next
Submit
ch

Answers

Answer:

I think the answer is C. 324 but i'm not sure. lemme know if i'm wrong and what the correct answer is

Step-by-step explanation:

The area of the given Circle C is; 324π

What is the area of the circle?

From the attached diagram, we see that;

WX is the radius of circle X and is equal to 8 units

Similarly, ZY is radius of circle Y and is equal to 10 units.

Thus, diameter of circle X = 8 * 2 = 16 units

Diameter of circle Y = 10 * 2 = 20 units

Thus;

Diameter of circle C = 20 + 16 = 36 units

Area of Circle C = π * 36²/4

Area of Circle C = 324π

Read more about Area of circle at; https://brainly.com/question/15673093

2. The best way to mathematically write the phrase
"eighteen increased by seven times a number is eight” is:
18 + 7n = 8
18 + 7 + n=8
7n + 18 = 8

Answers

Answer:

18+7n=8

Step-by-step explanation:

18

increased by means +

7 times a number

18+ 7n

is means equal

18+7n=8

Answer: 18+7n=8

Explanation:

“Eighteen increased by” is 18+
“Seven times a number” is 7(n) or 7n
“Is eight” is =8

Just remember to break up the phrase into segments and remember when to use the correct operators.

Hope this helps :)

Ana Maria has applied for United States citizenship. She has studied American history and government for a long time and thinks she is ready to take the citizenship test. When she took the practice test online she answered forty-seven questions correctly and only missed three. What percent of the questions did she get right?

Answers

Answer:

94%

Step-by-step explanation:

no of qn = 47(correctly answer)+3 (wrong answered)

                =50

percentage =47/50*100

                    =94

The Juarez family is making a cross- country trip on Saturday they traveled 450.8 miles on Sunday they traveled 604.6 miles how many miles have they traveled so far

Answers

Answer:3

Step-by-step explanation:$;$$;!’

Suppose students are independent from one another. 63% of students are using Mr. Martin's new social media app, Mar-tin-stagram. 2 students are randomly selected. What is the probability that both of them use it?

Answers

Answer:

Probability that both of them use it = 0.3945

Step-by-step explanation:

Given:

Student use app = 63%

Number of chosen student = 2

Computation:

Assume total number of student = 100%

So, probability that both of them use it.

⁶³C₂ / ¹⁰⁰C₂

[tex]\frac{\frac{63!}{2! 61!} }{\frac{100!}{2! 98! } } \\\\\frac{63\times 62}{100 \times 99} \\\\\frac{3,906}{9,900} \\\\0.3945[/tex]

Therefore, probability that both of them use it = 0.3945

What is the most reasonable for the weight of a table and four chairs? A 19 pounds B 90 pounds C 900 pounds D 9 tons

Answers

Answer:

B. 90 pounds.

Step-by-step explanation:

19 pounds would be too light, 900 pounds would be too heavy, and 9 tons is equal to 18,000 pounds which is wayy too heavy.

Hope this helps!

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Language, religion, art, and architecture are Describe the six-step process of conducting an ethics audit in detail. On the color wheel, where are complementary colors?next to each othernear each other but not next to each otherin the centeracross from each other At steady state, air at 200 kPa, 325 K, and mass flow rateof 0.5 kg/s enters an insulated duct having differing inletand exit cross-sectional areas. The inlet cross-sectional area is6cm26cm 2. At the duct exit, the pressure of the air is 100 kPa and the velocity is 250 m/s. Neglecting potential energyeffects and modeling air as an ideal gas with constant cp=1.008kJ/kgKc p =1.008kJ/kgK, determine(a) the velocity of the air at the inlet, in m/s. (b) the temperature of the air at the exit, in K. (c) the exit cross-sectional area, in cm2 (a) the velocity of the air at the inlet, in m/s.(b) the temperature of the air at the exit, in K.(c) the exit cross-sectional area, in cm Help ASAP. I dont remember any of this when I was in school emphysema and asthma are respiratory disorders that may both be attributed to smoking; they also share many symptoms in common. As a physician, how would you distinguish between these two disorders when diagnosing a patient? explain. OMG THIS QUESTION IS SO HARD WILL RATE IF U GET IT A rectangular tank 50 cm long, 20 cm wide, and 33 cm high is filled with water to a depth of 12cm. How many more liters of water need to be added to fill the tank? Help please will make it worth the points !! At least 2 sentences each or more pleaseee A truncated cube is a convex polyhedron with 36 edges and 24 vertices. A truncated tetrahedron is a convex polyhedronwith 18 edges and 12 vertices.How do the number of faces of a truncated cube and a truncated tetrahedron compare?The truncated cube has 6 more faces than the truncated tetrahedron.The truncated cube has 8 more faces than the truncated tetrahedron.The truncated cube has 12 more faces than the truncated tetrahedron.The truncated cube has 18 more faces than the truncated tetrahedron. If f(x) = [xl-5, what is f(8.6)? Beth participated in a free throw contest. she took 10 shots and missed 6 of them. Beth wants to know how to describe the number of baskets she made.what percent of her shots did Beth make? wiil makr bianleastWhich is point (4, 5) on the graph?CADB Someone help me with this plz! 20 POINTS Which of the following is equivalent to the addition problem below?35.54 + 81.94 What is the slope of the line represented by the equation y=-5x?0-5or w/N wind5 Sid was given the following enlargement of a rectangle. A smaller rectangle with length of 8 feet and width of 4 feet. A larger rectangle with length of blank and width of 20 feet. Sid calculated the scale factor to be One-fifth. What error, if any, did Sid make when he calculated the scale factor? Sid found the reciprocal of the scale factor. Sid used the wrong dimensions to calculate the scale factor. He should have gotten Five-halves as the scale factor. Sid used the wrong dimensions to calculate the scale factor. He should have gotten Two-fifths as the scale factor. Sid did not make an error calculating the scale factor. The correct scale factor is One-fifth. WILL MARK BRAINLIEST Joanna went school supply shopping. She spent $33.33 on notebooks and pencils. Notebooks cost$1.85 each and pencils cost $1.39 each. She bought a total of 21 notebooks and pencils. How many ofeach did she buy? Triangle MNP is similar to triangle QRS. Which sides have the same slope? What does it mean if there are two different alleles for a trait?