On a very cold morning, it was -7°F. As the day went on, the temperature rose 3 degrees each hour. Which equation shows the temperature over time?
A.y=-3x-7
B.y=-3x+7
C.y=3x-7
D.y=3x+7

Answers

Answer 1

Answer:

The equation shows the temperature over time will be:

[tex]y = 3x - 7[/tex]

Hence, option (C) is correct.

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

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

where m is the rate of change or slope and b is the y-intercept

Let 'y' be the temperatureLet 'x' be the time in the hour

Given that one very cold morning, it was -7°F.

Thus, the y-intercept = b = -7

Given that as the day went on, the temperature rose 3 degrees each hour.

Thus, the rate of change = slope = m = 3

Thus, substituting m = 3 and b = -7 in the equation

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

[tex]y = 3x + (-7)[/tex]

[tex]y = 3x - 7[/tex]

Therefore, the equation shows the temperature over time will be:

[tex]y = 3x - 7[/tex]

Hence, option (C) is correct.


Related Questions

2, 4, 3, 6, 5, 10, 9, 16, does anyone know the next 3 numbers and the pattern ??????????????

Answers

Answer:

No

Step-by-step explanation:

If a normal distribution has a mean of 62 and a standard deviation of 12, what
is the z-score for a value of 74?

Answers

Step-by-step explanation:

N~(62, 12^2)

Use Z-score formula (can find in internet)

[tex] z = \frac{74 - 62}{12} \\ z = \frac{12}{12} \\ z = 1[/tex]

Latrell has 14¢ in nickels and pennies. He has 6 coins altogether. How many coins of each kind does he have?

Answers

2 nickels and 4 pennies
2 nickels = 10
4 pennies = 4
10 + 4 = 14

Daisy used a wooden board for a craft project. The board was 9 feet 4 inches tall. How tall is the board in inches?

Answers

Answer:

112

Step-by-step explanation:

A foot is 12 inches so you do 12 times 9 and then plus the four already listed inches

Answer:

112 inches

Step-by-step explanation:

X^2 + 6x + 16y - 23 = 0
What is the standard form of the equation?

Answers

Answer:

hard!

Step-by-step explanation:

A candy machine can make 25.15 pounds of candy in an hour. How much candy can it make in 6.5 hours?

Answers

Answer:

i believe its 163.475 pounds of candy

Step-by-step explanation:

i multiplied 25.15 by 6.5

Answer:

163.475 pounds of candy.

Step-by-step explanation:

If the machine can make 25.15 pounds of candy in 1 hour, then you just multiply 25.15 pounds by 6.5 hours to get the answer.

Solve by elimination. 4x+6y=-12 2x+3y=4

Answers

Answer:

0 = 20 is false, therefore the system of equations has no solution.

NO SOLUTION

Step-by-step explanation:

Given the system of equations

[tex]\begin{bmatrix}4x+6y=-12\\ 2x+3y=4\end{bmatrix}[/tex]

solving the system by the elimination method

[tex]\begin{bmatrix}4x+6y=-12\\ 2x+3y=4\end{bmatrix}[/tex]

[tex]\mathrm{Multiply\:}2x+3y=4\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:4x+6y=8[/tex]

[tex]\begin{bmatrix}4x+6y=-12\\ 4x+6y=8\end{bmatrix}[/tex]

subtracting the equations

[tex]4x+6y=8[/tex]

[tex]-[/tex]

[tex]\underline{4x+6y=-12}[/tex]

[tex]0=20[/tex]

0 = 20 is false, therefore the system of equations has no solution.

NO SOLUTION

Can someone show me how to do this problem and I need help!!

Thank you!!

Answers

Answer:

[tex] \frac{6}{19 } [/tex]

Step-by-step explanation:

6 + 5 + 7 + 1 + 0 = 19

What is the nature of roots of x- 9x = 20 ?
a. nonreal
b. real, rational, and equal
c. real, rational, and unequal
d. real, irrational, and unequal

Answers

Answer:

Option C

Step-by-step explanation:

To find the nature of the roots we use the Discriminant formula which is:

[tex]D=b^2-4ac[/tex]

and given the equation and compare with the standard quadratic equation

[tex]x^2-9x=20\\x^2-9x-20=0\\ax^2+bx+c=0[/tex]

Here our a is 1 , b is -9 and c is -20 so we plug a, b, c into the Discriminant formula

[tex]D=b^2-4ac\\D=(-9)^2-4(1)(-20)\\D=81+80\\D=161[/tex]

Since D > 0 (greater than zero) our roots are real and unequal for the rational and irrational part we got know the  the  Discriminant's square root value if it is in decimals the nature of the roots are irrational if the Discriminant's  value is a whole number then it is rational and so 161 has a square roots in points which is

[tex]D=\sqrt{161} \\D=12.6885[/tex]

So our answer is real , irrational and unequal which is Option C

One angle of an isosceles triangle measures 56°. Which other angles could be in that isosceles triangle? .

Answers

Answer:

68 or 62 degrees

Step-by-step explanation:

If the 56 degree angle is one of the base angles of the triangle, you can multiply it by two (because base angles of an isosceles triangle

are congruent), and then subtract 180 (because you must subtract the sum of two angles from 180 to get the measure of the third angle).

If the 56 degree is not a base angle, then you can use this equation to get the measurement of each base angle:

(180-56)÷2=measure of each base angle

180=sum of angle measures in a triangle

56=measure of third angle

With 180-56, you get the sum of the base angles, so you must divide by two. (Base angles of an isosceles triangle are congruent)

The other angles that could be in that  isosceles triangle should be considered as the 56°, 68°, or 62°.

Calculation of the measurement of the angles:

Since One angle of an isosceles triangle measures 56°.

So in the case when  56° angle is one of the two congruent angles, so the remaining angles are 56° and 180-2(56) = 68°

Now

In the case when the is 56° Is not congruent to either of the other angles, so each of the remaining two angles should be [tex](180-56)/2[/tex]= 62°.

hence, The other angles can be 56°, 68°, or 62°.

learn more about an angle here: https://brainly.com/question/24283305

Point G and point H are the same distance form point F. Which coordinates could be the location of point H?

Answers

Note: It seems, you missed to add the correct option. But, I am solving the question to clear your concept anways.

Answer:

The coordinates of H are:

(x₂, y₂) = (2, 0)

Step-by-step explanation:

Given the points

F(3, 2)G(4, 4)

Since Point G and point H are the same distance from point F, therefore the point F is the mid-point of G and H

using the mid-point formula

[tex]m\:=\:\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

Since the point F is the mid-point of G and H, so

m = (3, 2)

as

(x₁, y₁) = (4, 4) = G (x₂, y₂) = H = ?

Thus, substituting m = (3, 2), (x₁, y₁) = (4, 4) to determine coordinates of the point H (x₂, y₂)

[tex]m\:=\:\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

[tex]\left(3,\:2\right)\:=\:\left(\frac{x_2+4}{2},\:\:\frac{y_2+4}{2}\right)[/tex]

so

[tex]\:\:3\:=\:\frac{x_2+4}{2}[/tex]

[tex]x_2+4=6[/tex]

subtract 4 from both sides

[tex]x_2+4-4=6-4[/tex]

[tex]x_2=2[/tex]

and

[tex]2=\:\frac{y_2+4}{2}[/tex]

[tex]\:y_2+4\:=\:4[/tex]

subtract 4 from both sides

[tex]y_2=0[/tex]

Thus, the coordinates of H are:

(x₂, y₂) = (2, 0)

Note: It seems, you missed to add the correct option.

PLease help me i don't get it

Answers

Answer:

150 and -150

Step-by-step explanation:

For question number 2...

You started off with an energy level of 250 and something was added to make it 400.

To figure out what this "something" was, you simply subtract the numbers.

400 - 250 = 150

For question number 3...

You start off with 325 and end with 175. Here, the outcome is smaller or less than what you started with. So, you know that you took away a certain amount of energy. To figure that out, you again subtract.

325 - 175 = 150

To make the equation make sense, you would subtract 150.

So the answer would -150.

What is the answer to this problem?

Answers

Answer:

You are told you have a cumulative count of $400 for interest You gave $5000 in principal Principal + gained interest = Total Hence total = $5,400

Use the following situation to answer the next 2 questions: A manufacturer claims that a particular car will get at least 50 miles per gallon on the highway. The researchers of a consumer-oriented magazine believe this claim is too high and plan a test with a simple random sample of 30 cars. Assume the population standard deviation for individual cars is 2.3 miles per gallon. The researchers found the sample mean to be 49 miles per gallon, and they decided on using a = 0.05. (Hint: H n SD = H. Find the value of the test statistic. A.-2.38 B.-1.645 C.-0.43 D. 0.0087 E. 2.38 What is the conclusion of the hypothesis test? There evidence to reject the manufacturer's claim because sufficient:________A. Is not; 49 miles per gallon is too close to the claimed 50 miles per gallon B. Is not; the p-value of 0.0087 is less than the significance level C. Is; the sample mean is less than the claimed mean D. Is; the p-value of 0.0087 is less than the significance level E. Is; the p-value of 0.0174 is less than the significance level

Answers

Answer:

First question

The correct option is  A  

Second question

  The  correct option is  E

Step-by-step explanation:

From the question we are told that

    The  population  mean is  [tex]\mu = 50 \ mpg \ (miles \ per \ gallon )[/tex]

     The  sample size is  n = 30  

      The population standard deviation is  [tex]\sigma = 2.3 \ miles[/tex]  

      The sample mean is  [tex]\= x = 49 \ mpg[/tex]

        The  level of significance is  [tex]\alpha = 0.05[/tex]

       

The  null hypothesis is [tex]H_o : \mu = 50 \ mpg[/tex]  

The  alternative  hypothesis is  [tex]H_a : \mu < 50 \ mpg[/tex]

Generally the test statistics is mathematically represented as

       [tex]t = \frac{ \= x - \mu }{ \frac{\sigma }{ \sqrt{n} } }[/tex]

=>     [tex]t = \frac{ 49 - 50 }{ \frac{2.3}{ \sqrt{30 } } }[/tex]

=>     [tex]t = -2.38[/tex]

Generally the degree of freedom is mathematically represented as

       [tex]df = n - 1[/tex]

       [tex]df = 30 - 1[/tex]

       [tex]df = 29[/tex]

Generally from the student t distribution table the probability corresponding to  -2.38 to  the left  at a degree of freedom of [tex]df = 29[/tex] is  

           [tex]p -value = P( t < -2.38 ) = 0.0174[/tex]

From the value obtained we see that

           [tex]p-value < \alpha[/tex]  hence  

The decision rule  

Reject  the null hypothesis  

The conclusion is  

There evidence to reject the manufacturer's claim because the p-value of  0.0174 is less than the significance level E

20 of the 80 coffee mugs at Carson's Pancake House are dirty. What percentage of the coffee mugs at the pancake house are dirty?

Answers

Answer:

25%

Step-by-step explanation:

20/80 in can be reduced to 1/4 and 1/4 equals 25%.

We have:

[tex]\dfrac{20}{80} = \dfrac{\%} {100}[/tex]

Solving for %:

[tex]\% = \dfrac{20\cdot 100}{80} = 25\%[/tex]

R/ 25% of coffee mugs are dirty.

Amanda buys a book for 24.97, a backpack for 17.23. and a set of markers for 7.55. she gives the cashier 50.00 how much change does amanda get

Answers

Answer:

She would get 0.25 cents

Step-by-step explanation:

what you would do is add 24.97, 17.23 and 7.55 together and get a total of 49.75 and subtract that from 50 and get 0.25

please mark me brainliest

Answer:0.25

Step-by-step explanation:

Factor expression completely x^2+6x+9

Answers

the answer is two to the third power

Rectangle LMNP was dilated using the rule DP,3. Which statements are true? Check all that apply. The length of line segment M'N' is 18 units. The length of segment M'N' is 14 units. The dilation is a reduction. The dilation is an enlargement. The scale factor is One-third. The scale factor is 3.

Answers

The given rule of the dilation indicates that the scale factor is 3 which is

larger than one, therefore, given an enlarged image.

The correct options are;

The length of line segment M'N' is 18 unitsThe dilation is an enlargementThe scale factor is 3

Methods by which the scale factor is obtained

Please find attached the possible diagram of rectangle LMNP obtained from a similar question posted online;

L'M' = 12

LM = 4

MN = 6

The rule of the dilation of rectangle LMNP = [tex]D_{p, \, 3}[/tex]

L'M' = 3 × LM

Therefore;

The image following the dilation of the preimage LMNP, which is rectangle L'M'N'P' is larger than LMNP

Therefore;

The dilation is an enlargement

The scale factor is the number with which the preimage dimension is multiplied to get the image, which is 3

The scale factor is 3

M'N' = 3 × MN

Therefore;

The length of line segment M'N' = 3 × 6 units = 18 units

Learn more about scale factor of a dilation here:

https://brainly.com/question/840682

Answer:

a. The length of line segment M'N' is 18 units.

d. The dilation is an enlargement.

f. The scale factor is 3.

Step-by-step explanation:

got it right on ed23

find 6.5% of 5.00 by multiplying $5 by 0.065. Round to the nearest cent

Answers

Answer:

0.32

Step-by-step explanation:

Because I know

Answer:

33 cents.

Step-by-step explanation:

(x-5^2)-7=93

Solve using square roots

I’m just unsure whether the answer will be x=-5+- 10 or x=5+-10

Answers

Answer:

Step-by-step explanation:

steps are stated below

step 1

(x-5^2)-7=93  equation

step 2

x-5^2-7=93  remove brackets

step 3

x-5^2-7=93  simplify

x+(-25)+(-7)=93

step 4

(x)+(-25+-7)=93  combine the tems

x+(-32)=93

step 5

x+(-32)=93  change the symbols

x-32=93

step 6

x-32(+32)=93(+32)  add +32 to both sides so we can get our answer

x=-0=93+32

x=125

Answer:

x=15, x=-5

Step-by-step explanation:

Solve:

[tex](x-5)^2-7=93[/tex]

Adding 7:

[tex](x-5)^2=93+7[/tex]

[tex](x-5)^2=100[/tex]

Taking square roots:

[tex]x-5=\sqrt{100}[/tex]

Recall a square root has two possible answers:

[tex]x-5=\pm 10[/tex]

Adding 5:

[tex]x=5\pm 10[/tex]

There are two answers:

[tex]x=5+ 10=15[/tex]

[tex]x=5- 10=-5[/tex]

Answers: x=15, x=-5

Simplify ( 5^2x7^4 ) 10

Answers

Answer:

5^20 • 7^40

Step-by-step explanation:

each exponent needs to multiply each 10.

Answer:

D. [tex]5^{20}[/tex] x [tex]7^{40}[/tex]

Step-by-step explanation:

Original Equation=  [tex](5^2 \cdot 7^4)^{10}[/tex]  

Apply exponent rule: [tex](a\cdot b) ^n[/tex] = [tex]a^n[/tex] [tex]b^n[/tex]

= [tex](5^2)^{10}[/tex]  x   [tex](7^4)^{10}[/tex]

Distribute them

= [tex]5^{20}[/tex]  x  [tex](7^4)^{10}[/tex]

= [tex]5^{20}[/tex] x [tex]7^{40}[/tex]

Hope this helps!

A store charges customers $85 for a video game. This is 170% of what the store paid for the game.

can anyone help a girl out?

Answers

170% is 170/100 in a fraction.
To get 170% you multiply 170/100 by 85.
And 14450/100 will be the fraction.
Simplifying it would be 144.5
Subtract 144.5 - 85 = 59.5
Your answer will be $59.5

Answer:

I think it is $59.5

Step-by-step explanation:

Hope this helped have an amazing day!

-1/2y = 1/2x + 5 and y = 2x + 2​

Answers

Answer:

x = -4

y = -6

Step-by-step explanation:

I just use my calculator to do this

Please need it finshed i will give brainliest to whoever right.

Answers

Answer:

40 + -40 = 0

Step-by-step explanation:

hope this helps!

Answer:

40 + -40 =0 (your answer)

2538494 + -2538494 = 0 (example)

4 + -4 = 0 (example)

-18 + 18 = 0 (example)

-82 + 82= 0 (example)

just as long as the first number and the second number are the same, and one is negative and the other is positive, added together the two numbers will equal zero.

Identify the pattern for the following sequence. Find the next three terms in the sequence. . a. -15, -11, -7, -3, ____, _____, _____,...

A: Subtract 4; -7, -11, -15
B. Add 4; 2, 6, 10
C. Subtract 4; 1, 5, 9
D. Add 4; 1, 5, 9

Please select the best answer from the choices provided.​

Answers

Answer: c

Step-by-step explanation:

Answer:

B you add 4. a negative plus a positive is a negative. -15 +4 is -11

Two vectors with magnitudes of 6 and 9 have a dot product equal to –27.

Find the angle between the vectors.

150°
120°
60°
30°

Answers

Answer: 120

B

Step-by-step explanation: got it right on edge

Answer:

B.) 120

Step-by-step explanation:

what is the average marks of 215​

Answers

Answer:

Average marks are 60.

❤️❤️❤️❤️

.......


A line passes through the point (-4, 7) and has a slope of -5/4
Write an equation in slope-intercept form for this line.

Answers

Answer:

We conclude that the equation in slope-intercept form for this line will be:

[tex]y\:=\:\frac{-5}{4}x+2[/tex]

Step-by-step explanation:

Given

The point = (-4, 7)slope = m = -5/4

We know that the slope-intercept form of the line equation is

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

where m is the slope and b is the y-intercept

Using the slope-intercept form to find the y-intercept 'b'

substituting m = -5/4 and the point (-4, 7)

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

[tex]7=\:\frac{-5}{4}\left(-4\right)+b[/tex]

[tex]-\left(-5\right)+b=7[/tex]

[tex]5+b=7[/tex]

subtract 5 from both sides

[tex]5+b-5=7-5[/tex]

[tex]b=2[/tex]

now substituting b = 2 and m = -5/4 in the slope-intercept form

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

[tex]y\:=\:\frac{-5}{4}x+2[/tex]

Therefore, we conclude that the equation in slope-intercept form for this line will be:

[tex]y\:=\:\frac{-5}{4}x+2[/tex]

a recipe uses 1 1/4 cups of milk to make 10 servings. if the same amount of milk is used for each serving, how many servings can be made using 1 gallon of milk? take 1 gallon to be equal to 16 cups. please show the work!​

Answers

Answer:

128 servings can be made using 1 gallon of milk.

Step-by-step explanation:

Given that:

[tex]1\frac{1}{4}[/tex] cups of milk make 10 servings

[tex]1\frac{1}{4}[/tex] can also be written as 1.25

Ratio of cups of milk to servings = 1.25 : 10

1 gallon = 16 cups

Let,

x be the number of servings made from 1 gallon

Ratio of cups of milk to servings = 16 : x

This is a direct proportion

1.25 : 10 :: 16 : x

Product of mean = Product of extreme

10*16 = 1.25x

160 = 1.25x

1.25x=160

Dividing both sides by 1.25

[tex]\frac{1.25x}{1.25}=\frac{160}{1.25}\\x=128[/tex]

Hence,

128 servings can be made using 1 gallon of milk.

There are 4 granola bars. Three friends want to share them evenly.
How much would each friend get? Show your answer in two different ways.

Answers

Answer:

4/3 or 1 and 1/3 or 1.33333 repeating

Step-by-step explanation:

you have 4 granola bars and 3 friends and you want to divide them among 3 friends

4/3

Answer:

1.3recuring or 3/4

Step-by-step explanation:

hope it helps

Other Questions
Question 2 (50 points)Complete with the correct word or expression.1. Los muchachos no van a casa en el bus escolar. Van2. Su casa no est muy lejos de la escuela. Est bastantede la escuela.3. Los alumnos van aporque necesitan materiales escolares.4. En la tienda ellos dana la empleada cuando pagan.5. Elena usa su computadora yen la red.6. Los amigos no hablan por telfono. Hablan en suBlank 1:Blank 2:IBlank 3:Blank 4: Email school environment club What are two reasons that digital storage of data is so reliable? long-term memory used by the computer: TRUE or FALSE: Washington survivedsmallpox as a child and decided toinoculate his soldiers at Valley Forge byhaving surgeons smear live virus into cutson healthy men so they can buildresistance and develop antibodies to fightthe virus if they came into contact with itin the future. 8> -1; Subtract 8 from both sides. raj obtained fifty-one per cent score in an exam with 459 marks if ria gets 702 marks in same exam find the percentage obtained by ria Find the measure of the indicated angle. Round to the nearest tenth of adegree. please help UwUif correct i will mark brainiesthope you all are having a great day Effects:Religious FrustrationAnti-Semitism Weakened FeudalismIncreased Role for Women in SocietyWhich effect of the Plague do you think is most important? Why? What is a new denominator George purchased a futures contract at 349. The contract is on 2500 units, requires a 10% margin deposit and is priced in cents per unit. George sold the contract at 278. What is George's return on invested capital Ted likes to run long distances. He can run 20 \text{ km}20 km20, start text, space, k, m, end text in 959595 minutes. He wants to know how many kilometers (k)(k)left parenthesis, k, right parenthesis he will go if he runs at the same pace for 285285285 minutes. Which of the following was one result of the English Bill of Rights of 1689? A. A The monarch could not interfere in parliamentary debates. B The prime minister became the chief government official. C The two-party system of government was established.D All dissenters were granted limited religious freedom. 100 points and brainliest if you answer all 5 in complete sentences! I WILL REPORT YOU AND DELETE ANSWER AND POINTS IF YOU ANSWER RANDOM STUFF!1. Primary colors are mixed together to make other colors, so primary colors are a foundation. Can you think of something else that can be used or mixed to make something new? If you need help for an idea, think of food and cooking!2. Imagine that you are creating a self-portrait using paint. Which colors would you use if you could only choose three? Why would you choose these three? How do you think these colors would impact the tone (or feeling) of your self-portrait?3. For an artist, art supplies (like paints, brushes, paper, clay etc.) are their very important tools. What are some other jobs that require specific tools or supplies in order to be successful? Please come up with at least two examples and describe the tools.4. Imagine that you are the owner of an art studio where artists come and share the space to create art. What are some rules that you would make to keep your art studio safe and running smoothly? Why are these rules important? List and describe at least three rules.5. As an artist, how would you decide which medium you are going to use? Would it depend more on the subject of your art piece or the tone (feeling) you hope to create or something else entirely? Can you think of any other mediums that you know of that were not discussed in the unit? Suppose that there is a tax of $1 per unit, and the elasticity of supply is 3 and the elasticity of demand is 2 (in absolute value). How much of the $1 tax is paid by sellers? Given: FG is an median. What can you conclude? Please help me fast!!!!. Joe and his family are touring Chicago. They want to visit the Willis Tower, hang out at Navy Pier, and shop on Michigan Avenue before their dinner reservations at 5:10 P.M. They plan to spend 1 hour and 10 minutes at the Willis Tower, 3 hours and 10 minutes at Navy Pier, and 1 hour and 15 minutes shopping. What is the latest time Joe's family can start their tour of Chicago and still make it to dinner on time?Include A.M. or P.M. in your answer. HELP, I have to turn this in tomorrow ... is this correct?? Can anyone answer this geometry question help pls!!