What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (-2, 4)?
Oy=-5/2x-1
O y=-5/2x+5
Oy=2/5x-1
Oy=2/5x+5

Answers

Answer 1

Answer:

y=-5/2x-1

Step-by-step explanation:

first find the gradient whereas since the two lines are parallel they hav the same gradient. y=mx+c whereas m is the gradient. 5x+2y=12

2y=-5x+12

y=-5/2x+12(so the gradient is -5/2x..... gradient=-5/2

y-4=-5/2

x+2

y-4=-5/2(x+2)

y-4=-5/2x-5

y=-5/2x-5+4

y=-5/2x-1

Answer 2

The equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (-2, 4) is y = -5/2 x - 1.

What is the Equation of line in Slope Intercept form?

Equation of a line in slope intercept form is y = mx + b, where m is the slope of the line and b is the y intercept, which is the y coordinate of the point where it touches the Y axis.

Given that the equation of the line is,

5x + 2y = 12

2y = -5x + 12

y = -5/2 x + 6

This is in the slope intercept form, where the slope = -5/2.

Slopes of two parallel lines are equal.

So any line parallel to the given line will be of the form y = -5/2 x + c

Given line passes through (-2, 4).

Substituting (-2, 4) in y = -5/2 x + c, we get,

(-5/2) (-2) + c = 4

c = -1

So the equation is, y = -5/2 x - 1

Hence the required equation is y = -5/2 x - 1.

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Related Questions

If x=10 what is (7x -5)

Answers

Answer:65

[tex]solution \\ x = 10 \\ now \\ (7x - 5) \\ = (7 \times 10 - 5) \\ = (70 - 5) \\ = 65[/tex]

Hope it helps....

Good luck on your assignment

Answer:

65

Step-by-step explanation:

= 7x-5

Putting x = 10

= 7(10)-5

= 70-5

= 65

Once a bill leaves the Congress, how can a bill become a law? (Select all that anny

Answers

Answer:

Once both the House and Senate have approved the bill in identical form, it becomes "Enrolled" and sent to the President of the United States. The President may sign the bill into law. The President can also take no action on the bill for ten days while Congress is in session and the bill will automatically become law.

Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Find the probability that a given score is less than negative 1.15−1.15 and draw a sketch of the region.

Answers

Answer:

Step-by-step explanation:

Let x be the random variable representing the test scores from the bone density test. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 0

σ = 1

the probability that a given score is less than negative 1.15 is expressed as

P(x < - 1.15)

z = (- 1.15 - 0)/1 = - 1.15

Looking at the normal distribution table, the probability corresponding to the z score is 0.13

P(x < - 1.15) = 0.13

The sketch of the region is shown in the attached photo

Simplify 4^3•4^5.
help asap !

Answers

Answer:

D

Step-by-step explanation:

when there are exponents with same bases multiplied by each other, keep the base and add the exponents

4^(3)+4^(5)=4^8

4^8 is D in this question

Lisa washes dishes at the local diner. She can wash 4 dishes every minute. What is the algebraic equation to express the function of the total number of dishes Lisa washes?

Answers

Answer:

f(x)= 4x or y=4x

Step-by-step explanation:

X represents minutes and the 4 is how many dishes she can wash.

answer is the one above me!

Based on the measures shown, could the figure be a
parallelogram?

Answers

you forgot to include the picture or the measurements.

Answer:

its A

Step-by-step explanation:

ed 2020

pleas guys can you answer this to me

Answers

Answer:

what is this boiii?

The math department faculty at a large university wanted to know what portion of the student body believes students should be able to enroll in any math class without meeting a prerequisite. The statistics department offered to cooperate in conducting a survey, and a simple random sample of 500 students was selected from all the students enrolled in statistics classes. A survey form was sent by email to these 500 students and 236 responded. What is the population of interest for this study?

Answers

Answer:

The population of interest for this student is the students whom are enrolled in statistics classes.

Step-by-step explanation:

Sampling

This is a common statistics practice, when we want to study something from a population, we find a sample of this population.

For example:

I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So i ask, lets say, 1000 randomly selected New York state residents wheter they are Buffalo Bills fans, and expand this to the entire population of New York State residents.

The population of interest are all residents of New York State.

A simple random sample of 500 students was selected from all the students enrolled in statistics classes.

This means that the population of interest for this student is the students whom are enrolled in statistics classes.

What is the value of the expression 1/7 ÷8 A 1/12 B 1/35 C 5/7 D 6/7
Pss. Its multiple choice okay dont get confused

Answers

Answer:

Looks like it's none.

Step-by-step explanation:

[tex]\frac{1}{7}*\frac{1}{8}=\frac{1}{56}[/tex]

Answer:

Step-by-step explanation:B and D I belive.

2 Ponts
The estimate obtained from a sample of which of the following sizes would
most likely be closest to the actual parameter value of a population?
A. 15
B. 150
C. 75
D. 45
SUBM

Answers

Answer:
B) 150

Explanation:
...

Please answer this correctly

Answers

Answer:

Band: 30%

Chorus: 18%

Painting: 21%

Robotics: 14%

Coding: 17%

The following data values represent a population. What is the variance of the
values?
8, 10, 14,4
A. 14
B. 10
C. 9
D. 13

Answers

Answer:

D: 13

So first you write down your equation ( its on the picture I posted) Then you need to find the mean which is the sum of all the values over the number of values you have (n) After finding your mean, you subtract it from every value you have. To check if what you have done is correct you add all the values you got after subtracting, if you get 0 your answer is correct. Then you square each of those answers you get after you subtract. You get the total which you then divide by the number of values you have (n)

I hope you understand, I am not that good at explaining. And I am not completely sure with my answer, but I think it's correct.

Find the slope of the line on the graph.
Write your answer as a fraction or a whole
number, not a mixed number or decimal.

Answers

Answer:

-3/4

Step-by-step explanation:

Find two points on the line

(0,1) and (-4,4)

We can use the slope formula

m = (y2-y1)/(x2-x1)

   = (4 -1)/(-4 -0)

    = 3/-4

    = -3/4

Help on this question please!!!

Answers

Answer:

Hello! Here is your answer

Step-by-step explanation:

112=4(28)

a=4b

You can only have one variable so:

Combine b to a:

a-b=84

4b-b=84

Divide both sides by 3:

3b/3=84/3

b=28

But that is not it:

Sum of both cards:

a+b

a=112

b=28

112+28=140

          = 140

I hope I was of help.  If not please let me know! Thank you! Good luck!

At a local college, 138 of the male students are smokers and are non-smokers. Of the female students, are smokers and are non-smokers. A male student and a female student from the college are randomly selected for a survey. What is the probability that both are non-smokers?

Answers

Answer:

The probability that both the male and female student are non-smokers is 0.72.

Step-by-step explanation:

The complete question is:

At a local college,178 of the male students are smokers and 712 are non-smokers. Of the female students,80 are smokers and 720 are nonsmokers. A male student and a female student from the college are randomly selected for a survey. What is the probability that both are non-smokers?

Solution:

Let, X denote the number of non-smoker male students and Y denote the number of non-smoker female students.

It is provided that:

X' = 178

X = 712

Tx = 890

Y' = 80

Y = 720

Ty = 800

Compute the probability of selecting a non-smoker male student as follows:

[tex]P (\text{Non-smoker Male student})=\frac{712}{890}=0.80[/tex]

Compute the probability of selecting a non-smoker female student as follows:

[tex]P (\text{Non-smoker Female student})=\frac{720}{800}=0.90[/tex]

Compute the probability that both the male and female student are non-smokers as follows:[tex]P(\text{Non-smoker Male and Female})=P(\text{Non-smoker Male})\times P(\text{Non-smoker Female})[/tex]The event of any female student being a non-smoker is independent of the male students.

[tex]P(\text{Non-smoker Male and Female})=0.80\times 0.90[/tex]

                                                 [tex]=0.72[/tex]

Thus, the probability that both the male and female student are non-smokers is 0.72.

Please give answer with explanation of formula. Please reply fast I have exam.

Answers

Answer:

D

Step-by-step explanation:

3/40 * 2.5/2.5 = 7.5/100 = 0.075

The table below represents the total cost of leasing a car at the end each month.

Month 1 -------- 3 -------- 8 -------- 12

Cost $1,859 --- $2,577 --- $4,372 --- $5,808

Write an equation in slope-intercept form to represent the total cost, y, of leasing a car for x months.

Answers

Answer:

y= 359 x+1500

Step-by-step explanation:

find the slope  m= (2577-1859)÷(3-1) = 359

y=mx+b

find b : substitute x ,y, and m

get b = 1857 - 359*1 = 1500

Answer:

y= 359 x+1500

Step-by-step explanation:

Based on your understanding of the ideas of external consistency and fruitfulness, which of the following statements best describes the relevance of these ideas to the acceptance of hypotheses?a. A fruitful hypothesis is considered stronger because fruitful hypotheses are always externally consistent with previously held theories. b. A fruitful hypothesis is considered stronger because fruitful hypotheses promote scientific progress by revealing new avenues of research and analysis.c. An adequate theory is always a fruitful theory. d. All internally coherent theories are fruitful.

Answers

Answer:

b

Step-by-step explanation:

externally consistent ideas are the ideas that are consistent with other well-confirmed hypothesis.

Fruitfulness of a hypothesis can be measured from the fact it it suggests something other than what it was originally suppose to explain.

A local country officials need to calculate the capacity of a large hole for the garbage refuse dump. The dump hole is 250 feet long,120 feet wide and 30 feet deep. What is the capacity of the dump hole in cubic feet.

Answers

Answer:

900000cubic feet

Step-by-step explanation:

capacity of dump hole= 250*120*30

= 900000cubic feet

Pernyataan berikut yang benar adalah ....


A. Garis bagi membagi sisi menjadi dua sama panjang
B. Garis bagi membagi sudut menjadi dua sama besar
C. Garis berat membagi sudut menjadi dua sama besar
D. Garis tinggi membagi sudut menjadi dua sama besar

Answers

the answer is B hope this helps have a good day!

What is equal to 5x when x is equal 50​

Answers

250

If X=50 then you would do 5x50=250

Answer:

250

Step-by-step explanation:

if x=50

5(x)=5*50=250

Hope it helps..Pls mark as Brainliest!!

Please answer this correctly as soon as possible.I have to finish this today. A triangular prism is 19 yards long and has a triangular face with a base of 12 yards and a height of 8 yards. The other two sides of the triangle are each 10 yards. What is the surface area of the triangular prism?

Answers

total SA = 764 yd²

A triangular prism is 13 yards long and has a triangular face with a base of 12 yards and a height of 8 yards. The other two sides of the triangle are each 10 yards. What is the surface area of the triangular prism?

See attachment.

if length = 13 yards then total SA = 512 yd²

if length = 19 yards then total SA = 764 yd²

. Suppose you randomly choose 10 dentists and ask whether they recommend Colgate toothpaste. What is the probability that exactly 8 dentists in your sample recommend Colgate toothpaste

Answers

Answer:

Step-by-step explanation:

The probability that a dentist recommend Colgate is;

P = 1/2 = 0.5

The probability that a dentist doesn't recommend Colgate is;

P' = 1 - P = 1 -0.5 = 0.5

Of 10 sample dentists, the probability that exactly 8 dentists recommend Colgate toothpaste is;

8 will recommend and two will not recommend it.

P(X) = P^8 × P'^2

P(X) = (0.5)^8 × (0.5)^2

P(X) = 0.0039 x 0.25

P(X) = 0.00098 = 0.098%

Chrissy currently has a credit card that charges 15% interest. She usually carries a balance of about $500. What will her total annual interest be with her current card?

Answers

Answer:

$900

Step-by-step explanation:

If she holds $500 and she is charged 15%; it means

The interest she pays per month is ;

$500 × 15/100 = $75

Then annually meaning for 12 months, she pays;

$75 × 12 = $900

Her annual interest on her current card is $900.

How to calculate annual interest?The annual percentage rate (APR) is the interest generated by a sum charged to borrowers or paid to investors each year. The annual percentage rate (APR) is a percentage that represents the actual annual cost of funds over the life of a loan or the income earned on an investment.Your daily periodic interest is calculated by dividing your annual percentage rate (APR) by the number of days in the year, which is typically 360 or 365 days depending on your credit card issuer. The annual interest rate is the rate that is applied over a one-year period.

Therefore,

She will be taxed 15% if she holds $500, which means

The monthly interest she pays is;

$500 × 15/100 = $75

She then pays annually, which is for a full year;

$75 × 12 = $900

Hence, Her annual interest on her current card is $900.

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find the LCM
of
75, 5,3

Answers

Answer:

LCM = 75

Step-by-step explanation:

1: Multiply the factor by the greatest number

Description:

The least common  multiple for 75,5,3 is 75.

LCM= Least common Multiple

Please mark brainliest

Hope this helps.

Answer:

75

Step-by-step explanation:

Break each number into prime factors

75 = 25*3 = 5*5*3

5 = 5*1

3 = 3*1

Multiply by the greatest number of each factor

3 = 1 time

5 = =2 times

The least common multiple = 3 * 5*5 = 75

6500 rounded to the nearest thousand is __. Enter your answer without commas

Answers

Answer:

7000

Step-by-step explanation:

If the hundreds place is higher than 5, then add 1 to the thousands place.

Electricity usage data consists of 45 months has a mean number of units consumed is 390.47 per month with a standard deviation of 170.5 units per month. Assume that the number of units consumed are approximately normally distributed. Estimate 95% confidence interval for the average monthly electricity consumed units.

Answers

Answer:

The 95% confidence interval for the average monthly electricity consumed units is between 47.07 and 733.87

Step-by-step explanation:

We have the standard deviation for the sample. So we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 45 - 1 = 44

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 44 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0141

The margin of error is:

M = T*s = 2.0141*170.5 = 343.4

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 390.47 - 343.40 = 47.07 units per month

The upper end of the interval is the sample mean added to M. So it is 390.47 + 343.40 = 733.87 units per month

The 95% confidence interval for the average monthly electricity consumed units is between 47.07 and 733.87

Whats the answer?

A) 35
B)55
C)70
D)110

Answers

Answer:

D

Step-by-step explanation:

If <CAD=35, <KNL=55 because the remaining angle is 90 since it's a right angle. Therefore <KNM=110 because 55+55=110

Please help! Correct answer only, please! Consider the matrix shown below: Using your calculator find the inverse of the matrix Q (i.e. Find Q^-1).

Answers

Answer:  C

Step-by-step explanation:

In order to find the inverse, transpose the matrix then find the determinant of each 2 x 2 matrix within it.

[tex]Q=\left[\begin{array}{ccc}2&2&3\\1&1&1\\3&2&1\end{array}\right] \qquad \rightarrow \qquad Q^T=\left[\begin{array}{ccc}2&1&3\\2&1&2\\3&1&1\end{array}\right][/tex]

[tex]det\left[\begin{array}{cc}1&2\\1&1\end{array}\right] =\bold{-1}\qquad det\left[\begin{array}{cc}2&2\\3&1\end{array}\right]=\bold{-4}\qquad det\left[\begin{array}{cc}2&1\\3&1\end{array}\right] =\bold{-1}\\\\\\\\det\left[\begin{array}{cc}1&3\\1&1\end{array}\right] =\bold{-2}\qquad det\left[\begin{array}{cc}2&3\\3&1\end{array}\right]=\bold{-7}\qquad det\left[\begin{array}{cc}2&1\\3&1\end{array}\right] =\bold{-1}\\[/tex]

[tex]det\left[\begin{array}{cc}1&3\\1&2 \end{array}\right] =\bold{-1}\qquad det\left[\begin{array}{cc}2&3\\2&2\end{array}\right]=\bold{-2}\qquad det\left[\begin{array}{cc}2&1\\2&1\end{array}\right] =\bold{0}[/tex]

[tex]Q^{-1}=\large\left[\begin{array}{ccc}1&-4&1\\-2&7&-1\\-1&-2&0\end{array}\right][/tex]

There are nine saxophone players in the band. The number of saxophone players is one less than twice the number of tuba players. Find the number of tuba players.

Answers

Answer:

[tex]5[/tex]

Step-by-step explanation:

Let [tex]x[/tex] be the number of tuba players.

We are given that the number of saxophone players is one less than twice the number of tuba players.

There are 9 saxophone players.

[tex]9 = 2 x-1[/tex]

[tex]9+1=2x[/tex]

[tex]10=2x[/tex]

[tex]10 \div 2=x[/tex]

[tex]5=x[/tex]

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