Write the equation of the line through the points (4,5) and (12,9)

Answers

Answer 1

Answer:

y - 9 = 1/2 (x - 12)

Step-by-step explanation:

find slope:

9-5 = 4, 12 - 4 = 8, slope = 1/2

put in point-slope form:

y - 9 = 1/2 (x - 12)

Answer 2
y = 1/2x + 3 is the answer

to even check plug in the points

5 = 1/2(4) +3
5=2+3
5=5

9=1/2(12) + 3
9=6 + 3
9=9

Related Questions

-1,000 -999 < > or = and why​

Answers

Answer:

-1,000

Step-by-step explanation:

Answer:

The answer is -1,000 > -999

Step-by-step explanation:

That is because the more further you go away from the zero into the negatives on a number line graph, the bigger the number with a negative sign is, that considered smaller

The data from the U.S. Census Bureau for 1980-2010 shows that the median weekly earnings of full-time


male employees who have at least a bachelor's degree can be modeled by the function


M(x) = 0.009x3 - 0.29x2 + 30.7x + 439.6 where x Is the number of years after 1980 and M(x) Is the


median weekly earnings in dollars. The median weekly earnings of all full-time employees who have at


least a Bachelor's degree can be modeled by the function T(x) = 0.012x3 - 0.46x2 + 56.1x + 732.3 where


x Is the number of years after 1980 and T(x) Is the median weekly earnings in dollars.


Estimate the median weekly earnings of a full-time female employee with at least a Bachelor's degree in


2006. Round to the nearest dollar.


The median weekly earnings of a female employee in 2006 is about

Answers

Answer:

890.908

Step-by-step explanation:

Given that :

Median weekly salary for males :

M(x) = 0.009x3 - 0.29x2 + 30.7x + 439.6

x = number of years after 1980

Median weekly salary for all employees :

T(x) = 0.012x3 - 0.46x2 + 56.1x + 732.3

Estimate the median weekly earnings of a full-time female employee with at least a Bachelor's degree in 2006

Estimated median weekly earning for a full time female employee with at least bachelor's degree ; F(x)

F(x) = T(x) - M(x)

F(x) = (0.012x3 - 0.46x2 + 56.1x + 732.3) - (0.009x3 - 0.29x2 + 30.7x + 439.6)

F(x) = (0.012 - 0.009)x3 + (-0.46 + 0.29)x2 + (56.1 - 30.7)x + (732.3 - 439.6)

F(x) = 0.003x³ - 0.17x² + 25.4 + 292.7

x = 2006 - 1980 = 26

F(26) = 0.003x³ - 0.17x² + 25.4x + 292.7

0.003(26)^3 - 0.17(26)^2 + 25.4(26) + 292.7 = 890.908

=

I need help with this

Answers

-4,3 is the answer:)
The second one is the answer

Samantha has 146 ft of yarn. She wants to cut the yarn into equal pieces to give her 18 students. How much yarn will she give each student?

Answers

Answer

answers is 267 bits oof yard

Step-by-step explanation:

Answer:

146 divided into 18 would be 8.11111111111.. and so on.

Step-by-step explanation:

Hope that helps :)

what is the missing value in the table below? ​

Answers

60 minutes in 1 hour
3 * 60 = 180

The missing number in the given table is 180 minutes.

To find the value of x in the equation 2/120 = 3/x, we can use cross multiplication.

First, we multiply both sides of the equation by 120

(2/120) * 120 = (3/x) * 120

To simplify, we have:

2 = 3 * (120/x)

2/3 = (120/x)

To solve for x, we can multiply both sides of the equation by x:

(x) * (2/3) = (120/x) * (x)

2x/3 = 120

To isolate x, we can multiply both sides of the equation by 3/2:

(2x/3) * (3/2) = 120 * (3/2)

x = 180

Therefore, the value of x in the equation 2/120 = 3/x is x = 180.

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ6

Alice is opening a savings account which earns 2.2% interest, compounded continuously.

How much will she need to deposit in the account so that she has $6200 after 3 years?Round your answer to the nearest dollar.

Answers

Answer:$5804

Step-by-step explanation:

P=6200/e^(0.022)(3)

Answer:

5804 just trust me i got it right

Please help with the problem in the picture ^ I’ll give brainliest if you give me a small explanation! :)

Answers

Answer:

A

Step-by-step explanation:

Because when you see X and Y, x multiplied by -6 is equal to y so if you check -84/-6, your correct answer should be 14 also A, hopefully this gave you the explanation you were looking for!!!!!!!!

What is 40/4.



From this_guy

Answers

Answer:

10

Step-by-step explanation:

40/4= 10

We have a bag that contains 100 balls, 50 of them red and 50 blue. Select 5 balls at random. What is the probability that 3 are blue and 2 are red?

Answers

Answer:

Likely, I think I havent been in this for a long time so i may be a little rusty. But anyways, I hope this helped!

Step-by-step explanation:

32% is the probability that 3 are blue and 2 are red.

What is probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

We have a bag that contains 100 balls, 50 of them red and 50 blue.

We, Select 5 balls at random.

the probability that 3 are blue and 2 are red = 50C3*50C2/50C5

solving we get,

19600*1225/75287520

=24010000/75287520

=0.32

=32%

Hence, 32% is the probability that 3 are blue and 2 are red.

To learn more on probability click:

brainly.com/question/11234923

#SPJ2

Byron is 2 years younger than Cindy. Eight
years ago, the sum of their ages was 14.
How old is Byron now?​

Answers

Step-by-step explanation:

let age of Byron be b yr old and Cindy be c yr old.

c = b + 2 --(1)

b - 8 + c - 8 = 14

b + c = 30 --(2)

sub (1) into (2):

2b = 28

b = 14

therefore Byron is 14 yr old now.

Topic: simultaneous eqns

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

Answer:

10

Step-by-step explanation:

Byron is 2 yrs younger than Cindy. 8 years ago the sum of their ages was 14.

Byron is 2 years at that time. Definitely, Cindy is 12 years old so the sum of their ages was 14. Let us just add 8 years to Byron's age at that time so 2 + 8 = 10

P.S: This just based on my understanding of the problem.

(34+ (9 x 2)) divide2 = _

Answers

Answer:

26

Step-by-step explanation:

9 x 2= 18

18+34= 52

52/2= 26

( 34 + (9 * 2) ) / 2
= (34 + 18 ) / 2
= 52 / 2
= 26

You have a ribbon that is 7 1/2 inches long you use 1/2 of it on a project how many inches of ribbon are left

Answers

3.75 inches

7.5/2=3.75

Which statement about the diagram is true

Answers

Answer:

AB have the length of 9

Step-by-step explanation:

5 is to short 14 is too long in between would be 9

Which equation has a solution of 54.73 for n?
n +8 = 62.73
n - 8 = 62.73
62.73 + 8 = n
8-46.73 = n​

Answers

Answer:

n + 8 = 62.73

the first one

Step-by-step explanation:

Find the area of the trapezoid.
st
11 m
6 m
-
8 m

Answers

Answer:

the answer is 68

2= n/3 n=?
In "One-strp multiplication &division equations

Answers

2 = n/3
Multiple both sides by 3
n = 6

A rose bush was 2 feet tall when Candace planted it. The rose bush
grew 1 (1/4) feet per year. The rose bush is now 8 (1/4) feet tall.

Answers

Answer:

5 years

Step-by-step explanation:

Alr. The equation is:

x= how long the rose bush took to grow

8 1/4=2+1 1/4x

6 1/4=1 1/4x

5=x

Suppose that the log-ons to a computer network follow a Poisson process with an average of three counts per minute.

Required:
a. What is the mean time between counts?
b. What is the standard deviation between counts (in minutes)?
c. If it is an average of 3 counts per minute, find the value of x such that P(X < x) = 0.95

Answers

Answer:

a. E(X) = 0.333 minutes

b. [tex]\mathbf{\sigma_x =0.333 \ minutes}[/tex]

c.  0.9986

Step-by-step explanation:

a.

To find the mean time between counts

Let X be the random variable that illustrates the time between the successive log-ons, then X is exponential with the rate [tex]\lambda = 3[/tex] log-ons per minute.

i.e.

[tex]E(X) = \dfrac{1}{\lambda}[/tex]

[tex]E(X) = \dfrac{1}{3}[/tex]

E(X) = 0.333 minutes

b. Since X is attributed to an exponential distribution, The standard deviation between counts is:

[tex]\sigma_x = \dfrac{1}{3}[/tex]

[tex]\mathbf{\sigma_x =0.333 \ minutes}[/tex]

c.

Given that;

The average number of count per minute = 3

The value of X such that P(X < x) = 0.95 can be calculated as;

[tex]\int \limits ^x_0 \lambda e^{-\lambda t}= 0.95[/tex]

[tex]3\int \limits ^x_0 \lambda e^{3 t}= 0.95[/tex]

[tex]\bigg [ -e^{3t}\bigg ]^x_0 = 0.95[/tex]

[tex]e^{3t} = 1-0.95[/tex]

-3x = ㏑ (0.05)

-3x = - 2.9957

x = -2.9957/ -3

x = 0.9986

The value of x = 0.9986

Answer:

a) 3

b)3

c) 8.9872

Step-by-step explanation:

a) According to the question, mean is 3.

b) Since it is an exponential distribution, standard deviation equals to mean. Therefore, the answer is 3.

c) P[x<X]=0.95

f(x)= λ*e^(-λ*x)

∫f(x)dx, 0 to x

mean = 1/λ =3. So, λ= 1/3.

∫(1/3)*e^(-x/3)dx= 1/3*e^(-x/3)/(-1/3)=-e^(-x/3) 0 to x

-e^(-x/3)+1 = 0.95

-e^(-x/3)=-0.05

x/3=ln(0.05)

x=ln(0.05)*3= 8.9872

-3a - 4(a - 6) = 24 - 7a

Solve the equation

Thanks

Answers

-3a-4(a-6)=24-7a

-3a-4a+24=24-7a

-7a+24=24-7a

-7a+24=-7a+24

-7a+24-24=-7a+24-24

Simplify

Subtract the numbers

Subtract the numbers

−7a=-7a

Add 7a to both sides of the equation

-7a+7a =-7a+7a

Simplify

Combine like terms

Combine like terms

0=0

answer is 0=0

SECTION 1-1 PRACTICE

Employee

Regular

Hourly Rate

х

Hours

Worked

Straight-Time

Pay

Ix

36

X Х

X Х

Wright, S.

Reardon, E.

Levitt, R.

Maguire, M.

Reyes, A.

Vadola, G.

$ 8.00

7.50

16.20

10.25

14.525

26.675

IX Х

18

30

243

31.125

25.625

X Х

You earn $6.50 per hour and work 30 hours this week. What is your straight-

Answers

Answer:

Your straight-time pay is $195.

Step-by-step explanation:

a) Data and Calculations:

Employee  Regular  Hourly Rate  х  Hours  Worked   = Straight-Time  Pay

Wright, S.             $8.00         36

Reardon, E.            7.50         18

Levitt, R.               16.20         30

Maguire, M.         10.25       243

Reyes, A.             14.525        31.125

Vadola, G.          26.675         25.625

b) If you earn $6.50 per hour and work 30 hours this week, your straight-time pay is $195 ($6.50 * 30).  The straight-time pay is determined by multiplying  the number of hours worked in a period by the hourly rate.

a city depatment uses an average of 25 10cent,35 15 cent and 350 20 cent postage stamps each day.the total cost of stamps used by the department in a 5 day period is

Answers

Answer =$388.75

25x.10= $2.50, 35x.15=$5.25, 350x.20=$70
$2.50+5.25+70=$77.75x5 days=$388.75

I'll braintlist!!!
Find the value of each expression in lowest terms:


1/6 X 11/4

11/5 X 1/3

14/3 X 1/5

5/3 X 2/5

3/4 X 8/9

5/2 X 2/7

Answers

11/24
11/15
14/15
2/3
2/3
5/7
hope this helps!!!

Assume that the population proportion is 0.46. Compute the standard error of the proportion, σp, for sample sizes of 500,000; 1,000,000; 5,000,000; 10,000,000; and 100,000,000. (Round your answers to five decimal places.)sample size of 500,000 __________sample size of 1,000,000_________sample size of 5,000,000_________sample size of 10,000,000_________sample size of 100,000,000 ___________

Answers

Answer:

a) 0.00070

b) 0.00050

c) 0.00022

d) 0.00016

e) 0.00005

Step-by-step explanation:

Standard error for proportion formula

S.E = √P(1 - P)/n

Where P = proportion

n = number of samples

Assume that the population proportion is 0.46. Compute the standard error of the proportion, σp, for sample sizes of a) 500,000

S.E = √P(1 - P)/n

= √0.46 × 0.54/500000

= √ 4.968 ×10^-7

= 0.0007048404

≈ 0.00070

b) 1,000,000

√P(1 - P)/n

= √0.46 × 0.54/1000000

= 0.0004983974

≈ 0.00050

c) 5,000,000

√P(1 - P)/n

= √0.46 × 0.54/5000000

= √ 4.968 ×10^-8

= 0.0002228901

≈ 0.00022

d) 10,000,000

√P(1 - P)/n

= √0.46 × 0.54/10000000

= √2.484 ×10^-8

= 0.0001576071

≈ 0.00016

e) 100,000,000

√P(1 - P)/n

= √0.46 × 0.54/100000000

= √2.484 × 10^-9

= 0.0000498397

= 0.00005

Find the coordinates of the reflection: B (7,-1) is reflected over the x-axis B’=?

Answers

Answer:

(7;1)

Step-by-step explanation:

The abscissa of B' is going to be the same as abscissa of B , becuse the points are simmetrical over axis x.

However the ordinate of the point B'  will have the opposite sign as ardinate  B. However the module of ordinate B'  is going to be the same as module of orrdinate B.

(7,1) because when you reflect over the x axis you will change the value of y, and vice versa

Which statement describes the solution to the system of equations?

28

| 2n+Bk = 6

|-5-20%=-15

O The system has exactly one solution.

O The system has exactly two solutions.

The system has no solutions.

The system has infinitely many solutions.

Answers

Answer:

The system has infinitely many solutions.

Step-by-step explanation:

both equations are the same

It means that we have only one equation

so, it can give many solution s

so,

The system has infinitely many solutions.

HOPE THIS HELPS!

PLEASE MARK BRAINLIEST! :)

what is principal in simple intrest​

Answers

You have to pay extra money when you pay it back after you borrow it.So interest is: the amount of money you pay back on top of the original money you borrowed. The meaning of the word principal is: the original amount of money you borrowed.

please help and I will mark big brain ​

Answers

81, an=-12+((32)-1)3

32-1=31 times 3=93-12=81

During November, $83 was spent on travel. In December, $65 was spent on travel. How much was the percent of decrease? Round to the nearest tenth of a percent.


Pls Help

Answers

Answer:

Percent decrease is 21.7%

Step-by-step explanation:

The percent decrease is calculated as:

[tex]Decrease\ percentage = \frac{decrease}{Original\ quantity} * 100[/tex]

Given in the question that:

Cost on travel during November = $83

Cost on travel during December = $65

The percent decrease will be calculated by computing decrease(subtracting the cost of December from the cost of November.

[tex]Decrease = Travel\ cost\ in\ November - Travel\ cost\ in\ december\\Decrease = \$83-\$65\\= \$18[/tex]

Now, for percentage decrease

[tex]Percentage\ decrease = \frac{decrease}{Travelling\ cost\ in\ November} * 100\\=\frac{18}{83} * 100\\=21.686..[/tex]

Rounding off to nearest tenth of percent, we get the percentage decrease as 21.7%

Hence,

Percent decrease is 21.7%

The sum of three numbers is 14. The largest number is 4 times the smallest number. The sum of the smallest and twice the largest is 18. What are all three numbers?

Answers

Answer:

a = 2, b = 4, c = 8

Step-by-step explanation:

Let:

First (smallest) number = a

Second number = b

Third number(Largest) = c

The sum of three numbers is 14.

a + b + c = 14...... Equation 1

The largest number is 4 times the smallest number.

c = 4a.... Equation 2

The sum of the smallest and twice the largest is 18.

a + 2c = 18........ Equation 3

We substitute Equation 2 in Equation 3

to solve for a

a + 2(4a) = 18

a + 8a = 18

9a = 18

a = 18/9

a = 2

Hence, the smallest number = 2

We find c

c = 4a.... Equation 2

c = 4(2)

c = 8

The largest number is 8

We find b

a + b + c = 14...... Equation 1

2 + b + 8 = 14

b + 10 = 14

b = 14 - 10

b = 4

What are all three numbers?

a = 2, b = 4, c = 8

6 ones 453 thousandths + 4 hundredths =

Answers

Answer:

your answer is 463

Step-by-step explanation:

Hope this help you

have a great thanksgiving

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