Given the equation of a line: y = 3x - 7. Select the equation of the line PERPENDICULAR to this line

Options:
y = (1/3)x + 1/7
y = -3x + 7
y = (-1/3)x - 7
y = 3x + 2

Answers

Answer 1

Answer:

The third option, y=(-1/3)x-7

Step-by-step explanation:

To find a line perpendicular to an equation, you find the negative reciprocal of the slope. For instance, if you have an equation y=4x+5, the negative reciprocal is y=(-1/4)x+5. That is the equation to find a line perpendicular to this.

If you want to find a line parallel to the equation y=4x+5, all you have to do is come up with another equation that has the same slope. So, y=4x+8 would be a line parallel to the equation y=4x+5.


Related Questions

Evaluate the following: a. 4|−8| b. 2|−3| + 4(7) c. 8|−2| − 6 d. 5|−4| + 2|−6|

Answers

Step-by-step explanation:

a. 4×|-8| = 4×8 =32

b. 2×3+4×7= 6+28 = 34

c. 8×2-6 = 10

d. 5×4+2×6 = 32

An economist conducts a nationwide survey to study the financial perceptions of US adults. Specifically, he asks a random sample of 1,000 US adults: “Financially, are you doing OK or are you struggling to get by?” The results of the survey show that 829 of the 1,000 participants said they are doing OK.

(a) Construct a 95% confidence interval for the proportion of US adults who would say they are doing OK.

(b) Shortly thereafter, a similar study is conducted in Mexico with the intention of constructing a 95% confidence interval for the proportion of Mexican adults who would say they are doing OK. What is the smallest sample size that can be used to guarantee that the margin of error will be less than or equal to 0.01?

Answers

Answer:

a) (0.806, 0.852)

b)Margin of error ≤ 0.01

1.96*√{0.5*(1–0.5)/n} ≤ 0.01

√n ≥ 98

n ≥ 9604

• Smallest sample size = 9604

Step-by-step explanation:

I found this on Chegg

The flower shop has 40 times as many flowers in the cooler as Kendall has in her bouquet. Kendall has 15 flowers. How many flowers are in the cooler?

Can anyone help me thank you

Answers

Answer:

tu debes de saber las respuestas por qué tú estás como en onceavo

18. The stock bar chart below shows price and volume information for Medco Health
Solutions (MHS) on January 12. What was the opening price?

Answers

Answer:b $41.60

Step-by-step explanation:

When converted to speeds, which list is in order from slowest to fastest?
17 miles in 2 minutes;
26 miles in 4 minutes;
33 miles in 6 minutes;
60 miles in 8 minutes
17 miles in 2 minutes;
60 miles in 8 minutes;
26 miles in 4 minutes;
33 miles in 6 minutes
33 miles in 6 minutes;
26 miles in 4 minutes;
60 miles in 8 minutes;
17 miles in 2 minutes
60 miles in 8 minutes;
33 miles in 6 minutes;
26 miles in 4 minutes;
17 miles in 2 minutes

Answers

Simplified in order of how you listed:

1. 5.5miles/ min (33 miles in 6 minutes)
2. 6.5miles/min (26 miles in 4 minutes)
3. 7.5 miles/ min (60 miles in 8 minutes)
4. 8.5miles/min (17 miles in 2mins)

Enter the rational number as a decimal. Then tell whether the decimal is a terminating or a repeating decimal.


3
5
=


The decimal is
(select)
.

Answers

Answer:

3

Step-by-step explanation:

the answer is 3, you can also search up the answers on the internet or use an online calculator

Answer: Decimals are of different types based on the numbers that come after the decimal point. These types are terminating decimal numbers, non-terminating repeating decimals, recurring decimal numbers, and non-recurring decimal Numbers. The answer is 3, you can also search up the answers on the internet or use a calculator.

brainleist

which algebraic expression will Alex want to use to determine the total amount of food (f) a dolphin will eat over a 5-year period, if x equals pounds per year?

A. F = 5 + x
B. F = 5x
C. F = 5/x
D. F = x/5​

Answers

Answer:

A.) F=5+x

Step-by-step explanation:

I think A is the answer because 5 year period is fixed. The x equals pounds per year is what we don't know .

Hello, I need help!!!!?

Answers

Volume of the prism is given by:
V=(base area)*(height)
thus:
base area=1/2(a+b)*h
=1/2(1.4+0.6)*2
=2 m²

Thus the volume will be:
V=2*1
V=2 m³

Volume after 30 min:
V=2×(0.8)
V=1.6 m³

Rate of emptying the tank is:
(2-1.6)/30=1/ 75 m³/min
time taken to empty the tank:
time=volume/rate
time=2/(1/75)
=150 min


Which of the following is most likely the next step in the series?

Answers

Answer:

I need more info to answer this question.

Step-by-step explanation:

Help
Please ..................

Answers

Plug in -11 for x
8(-11) + 2.
-86

Answer:

-86

Step-by-step explanation:

Substitute -11 for x in the equation:

8(-11)+2

=-88+2

=-86

A. X = -6 and X = -5.5
B. x = -0.5 and x = -5
C. X = 0 and x = 5
D. X = 5 and x = 6

Answers

Answer:

Step-by-step explanation:

The roots are the x-intercepts, 5 and 6.

What is the result when g+ + 2 is subtracted from 32 - 41
?
10
100
3
03
10
1 3
o
10
7 9
10
9
-3-3 +1
10
0 3 2 - 1

Answers

Answer:

6

Step-by-step explanation:

6 is the correct answer because-3-3+1

Let the sample space be S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10). Suppose the outcomes are equally likely. Compute the probability of the event E = {1,4,7,9).

P(E)= ____?

(Type an integer or a decimal. Do not round.)

Answers

Answer:

Step-by-step explanation:

With replacement

(1/10)^4

1/10000

0.0001

Without replacement

(1/10)(1/9)(1/8)(1/7)

1/5040

0.00019841269

Simplify the expression below.
12a−8−5a+12

Answers

Step-by-step explanation:

Given

12a - 8 - 5a + 12

= 7a + 4

Hope it will help :)

Answer:

7a + 4

Step-by-step explanation:

First, let's rewrite this expression to combine like terms:

12a – 8 – 5a + 12  — I bolded the constants and underlined the expressions with variables

12a – 5a – 8 + 12  — it looks a little easier regrouped, doesn't it?

The last two terms are easy, right?

12 – 8 = 4  — simplify with subtraction

We'll focus on the first two terms now. Let's rewrite the terms with variables attached to make the subtraction easier:

a(12 – 5) = a(7) = 7a

We could also think of it this way: multiplication is just repeated addition.

12a = a + a + a + a + a + a + a + a + a + a + a + a (we just add a to itself 12 times)

5a = a + a + a + a + a (we just add a to itself 5 times)

Subtracting this expression would then look like this:

a + a + a + a + a + a + a + a + a + a + a + a – (a + a + a + a + a)

a + a + a + a + a + a + a + a + a + a + a + aaaaaa

Five of the a values will cancel out, and to show this, we can rewrite the expression once more, like this:

aa + aa + aa + aa + aa + a + a + a + a + a + a + a

The five a values cancel out and leave us with this:

a + a + a + a + a + a + a

How many a values are added together now? Seven of them, right? We add a to itself 7 times. We can then rewrite that expression as 7a.

Using the [12 – 8 = 4] expression from above, we add the 4 to the 7a to find our final answer: 7a + 4

I hope this helps increase your understanding of the concept! Have a great day!

You have a data set with a Gas Price variable. It lists the price of a gallon of regular gasoline at a randomly selected 100 gas stations around the country in a particular week. You calculate a 95% confidence interval for the mean of Gas Price, and it turns out to be $2.43 plus or minus $0.16. Which of the following most closely reflects what you can conclude? a. If your sample size had been 400, and you had observed the same sample mean but a sample standard deviation twice as large as in your original sample, the 95% confidence interval would have been approximately $2.43 plus or minus $0.08. b. If your sample size had been 400 and you had obtained the same sample mean and sample standard deviation as in your original sample, the 95% confidence interval would have been approximately $2.43 plus or minus $0.08. c. If you had observed the same sample mean and sample size, but a sample standard deviation twice as large as the one you observed, the 95% confidence interval would have been approximately $2.43 plus or minus $0.24. d. If you had observed the same sample mean and sample size, but a sample standard deviation half as large as the one you observed, the 95% confidence interval would have been approximately $2.43 plus or minus $0.04.

Answers

Answer:

b. If your sample size had been 400 and you had obtained the same sample mean and sample standard deviation as in your original sample, the 95% confidence interval would have been approximately $2.43 plus or minus $0.08.

Step-by-step explanation:

Confidence interval:

A confidence interval is given by the sample mean plus minus the margin of error.

Margin of error:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which M is the margin of error, z is related to the confidence level(the higher the confidence level, the higher the value of Z), [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

This is important to note that the margin of error is inversely proportional to the square root of the size of the sample.

In this question, we have that:

95% confidence interval for the mean of Gas Price is of $2.43 plus or minus $0.16, with a sample of 100.

Option A:

Sample size of 400, which is four times the original, while the standard deviation is twice the original.

This means that the margin of error would be the same, as it would be multiplied by 2 in the numerator and divided by the square root of 4, that is, 2 in the denominator. So the interval would still be of $2.43 plus or minus $0.16, which means that option a. is wrong.

Option B:

Sample size of 400, which is four times the original, while the rest is the same.

The margin of error would be divided by the square root of 4, that is, 2, which means that it would be half of the original, and the interval would be $2.43 plus or minus $0.08, which means that option b. is correct.

Option C:

In this case, the margin of error will be doubled, since the standard deviation is double the original. So the confidence interval would be of $2.43 plus or minus $0.32, which means that option c. is wrong.

Option D:

In this case, the margin of error will be halved, since the standard deviation is half the original.  So the confidence interval would be of $2.43 plus or minus $0.08, which means that option d. is wrong.

Which expression is equivalent to 4f/3÷1/4f

Answers

simplified this is 16f^2/3

What is the acronym used to help remind you of the order
used to simplify expressions?

Answers

Answer:

I think it's PEMDAS, but I'm not sure- sorry if it's wrong.

Step-by-step explanation:

How to do this problem? Thank you!

Answers

(Bc)/(ab)=tan1
(Ef)/(ec)=tan2
Angle 1= angle 2
Tan1=tan2
(Bc)/(ab)=(ef)/(ec)
...

Find the unit rate is 120 apples are in 6 baskets. (Follow this example 3 bananas/ 1 bunch)need help with my homework 10 points

Answers

Answer:

120/6 = 20 apples unit rate

Step-by-step explanation:

please explain what else the question wants

Dave has $70 saved and earns $20
each month in allowance. Terri has
$110 saved and earns $16 a month
in allowance. If they both save their
entire allowances, how long will it
take before Dave and Terri have saved
the same amount of money?

Answers

Answer:

10 months

Step-by-step explanation:

Please let me know if you want me to write an explanation for my answer :)

Find the slope of the line represented in the table.
x

Answers

Answer:

The slope is -3

Step-by-step explanation:

Use the slope formula to find the slope.

The formula is .... ⏬

best answer gets brainliest​

Answers

k= -3

3y = x+6 can be rewritten as y = 1/3x + 2
a perpendicular slope is the opposite reciprocal of the original slope
so instead of 1/3 it would be -3
therefore. k must equal -3 to be perpendicular to 3y = x+6

A + 1.05 = 3.7 plz help

Answers

Answer:

a=2.65

You just bring over the 1.05 to the 3.7, and just go on from there!

Hope this helps!

Si un ladrillo de adobe pesa 20kg. mas de la mitad de su peso. ¿Cuanto pesara un ladrillo y medio?​

Answers

Answer:

pesaria 2.25 kilos

explicacion

3629 you can use the digits twice make the largest four digit number​

Answers

Answer:

9632

or

9966

Step-by-step explanation:

im not 100% sure

An airplane on autopilo 7 hours to travel 4,998 kilometers. What is the unit rate for kilometers per​ hour?

Answers

The rate would be 714 kilometers per hour. You would make the equation 7x = 4998, then do inverse operations to get the variable isolated. This means you would divide both sides by 7.

a. Solve for x in the
diagram

Answers

Answer: 15 i think

Step-by-step explanation:

Answer:

as their is no labeling so it's hard to answer

55+55=110

180-110=70

vertical angles

so x=70

Are there any supplementary, vertical, or complimentary angles? If so wich ones

Answers

Supplementary: N and M & N and I

Supplementary angles: A pair of angles whose sum is equal to 180°.

Vertical: M and I

Vertical angles: A pair of opposite angles that are made by two intersecting lines.

Complimentary: None

Complimentary angles: A pair of angles whose sum is equal to 90°.

Hope this helps! :D

I need help on this. Can someone pls help me

Answers

Answer:

2

2

3x

Step-by-step explanation:

1.) we can divide both sides by three to get

(3x+6)/3=x+?

x+2= x+?

from here we can tell that ?=2

2.) Let's start by dividing both sides by negative one

(x-2)/ -1= ?-x

simplify

-x+2= ?-x

Here we get ?= 2

3.)

Let's mulitply both sides by 5 to get

15x-10= 5(?-2)

15x-10 = 5?-10

15x= 5?

3x= ?

the answer here is 3x

Seven times a certain number plus the number is equal to 88. Find the number.

Answers

Answer:

11

Step-by-step explanation:

11 * 7= 77

77 + 11= 88

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