find the equation of the line that is perpendicular to y=-2/3x and contains the point (4 -8)

Answers

Answer 1

Answer:

y = 3/2x + -14

Step-by-step explanation:

y = -2/3 x

has a slope of -2/3

We want a line perpendicular

Take the negative reciprocal to find the slope

- (1 / -2/3)

3/2

The slope of a line perpendicular is 3/2

Using the slope intercept form of a line

y = mx+b  where m is the slope and b is the y intercept

y = 3/2x +b

Substitute a point into the equation

-8 = 3/2(4) +b

-8= 6+b

Subtract 6 from each side

-8-6 = b

y = 3/2x + -14


Related Questions

Can someone please help me?

Answers

dotted line that is at (0,1) then the dotted line goes up to the right and also down to the left so for going up its 1 up 1 over and then also draw a line on the orgin 0,0 that goes in the opposistedirection so left up one to the left one and do that corner to corner that line is filled in and then to get your anwser shade in the area below your secoundline to the bottom of the first line which is going to be bottom left of your graph   step-by-step explanation:

I NEED ANSWER ASAP!!! is the mapping a fun or not a function

Answers

Your answer is Function

Answer:

function

Step-by-step explanation:

pls brainly give

Working as a waiter, Michael earns $7 an
hour plus tips. Last night he received $35 in tips and earned a total of $84. How
many hours did he work?

Answers

micheal worked 7 hours

Answer:

7Hrs because 84-35=49

49/7=7

Has 256 and 81 already been squared?
8th grade math
Please answer ASAP (i'm being timed)

Answers

Yes. I believe 256 and 81 have already been squared. The little 2 at the end means squared inches (i think that is what you were asking). If you also look at the squares, proportionally speaking, it would not make sense if they still needed to be squared. I hope I answered your question correctly... good luck

Which expression simplifies to 8x^5?

Answers

Answer:

32768x^5

Step-by-step explanation:

[tex] {8x}^{5} [/tex]

...

Write down the next term in each of the following sequences
a)
12
17
22
27
b)
83
77
71
65

Answers

Answer is:
a) 32
b) 59
Both are arithmetic sequences
a) each time plus 5
b) each time minus 6

given each pair of similar triangles find the missing value. of LJK=PQR find x

Answers

Answer:

1

Step-by-step explanation:

The annual amount of rainfall in Ventura County is bounded by 6.3 and 20.5, is continuous and each outcome is equally likely. Use this information to answer the following four questions.

a. Determine P(10.2 < x < 18.7).
b. Determine P(x > 17.1).
c. Determine P(x < 6.3).
d. What is E[x]?

Answers

Answer:

a.0.5984

b.0.2394

c.0

d.13.4

Step-by-step explanation:

We are given that

a=6.3,b=20.5

The pdf of uniform distribution

[tex]f(x)=\frac{1}{b-a}=\frac{1}{20.5-6.3}=0.0704[/tex],6.3<x<20.5

            0, otherwise

Now,

a.

P(10.2<x<18.7)=[tex]\int_{10.2}^{18.7}f(x) dx[/tex]

[tex]=0.0704[x]^{18.7}_{10.2}[/tex]

[tex]P(10.2<x<18.7)=0.0704(18.7-10.2)=0.5984[/tex]

b.P(x>17.1)

[tex]P(x>17.1)=\int_{17.1}^{20.5}0.0704dx[/tex]

[tex]=0.0704(20.5-17.1)[/tex]

[tex]=0.2394[/tex]

c.P(x<6.3)=0

d.E[x]=[tex]\frac{a+b}{2}=\frac{6.3+20.5}{2}=13.4[/tex]

3(x + 3) − 2 < 4
does anyone know this?

Answers

Answer:3 + ? = 7, 3 + n = 7, 3 + x = 1

Step-by-step explanation:

and so on, where the symbols ?, n, and x represent the number we want to find. We call such shorthand versions of stated problems equations, or symbolic sentences. Equations such as x + 3 = 7 are first-degree equations, since the variable has an exponent of 1. The terms to the left of an equals sign make up the left-hand member of the equation; those to the right make up the right-hand member. Thus, in the equation x + 3 = 7, the left-hand member is x + 3 and the right-hand member is 7.

Answer:

Inequality Form:  x < −1

Interval Notation:  (−∞, −1)

Step-by-step explanation:

3 (x + 3) −2 < 4

Simplify 3 (x + 3) − 2.

Apply the distributive property.

    3x + 3 ⋅ 3 − 2 < 4

Multiply 3 by 3.

    3x + 9 − 2 < 4

Subtract 2 from 9.

    3x + 7 < 4

Move all terms not containing x to the right side of the inequality.

Subtract 7 from both sides of the inequality.

    3x  < 4 − 7

Subtract 7 from 4.

    3x  < −3

Divide each term by 3 and simplify.

    x < −1

The result can be shown in multiple forms.

Inequality Form:  x < −1

Interval Notation:  (−∞, −1)

Ten little monkeys were jumping on a bed. There is a 35% chance that one will fall off and bump his head. In the bedroom next door, five kangaroos were jumping on a bed. Being more adept at jumping, there is only a 20% that a kangaroo will fall off the bed.
1. What are the chances that a monkey and a kangaroo will fall off the bed?
2. What are the chances that a monkey will not fall off the bed?
3. If the monkeys enjoy this activity every night for an entire week, what are the chances that a monkey falls off the bed every one of the seven nights?
4. What are the chances that if the monkeys jump every day for a week that at least one will fall off of the bed?
5. What are the chances that the kangaroos can get away with jumping on the bed for 4 straight nights until they finally have someone fall off the bed on the night?
6. What are the chances that the kangaroos can jump two nights in a row with no one falling off the bed?
7. The monkeys manage to go a whole week without someone bumping their head. One of the kangaroos insists that they are due for an injury. Another says they must be getting better at their jumping skills. Do you think they're due for a crash?

Answers

Answer:

0.07 ; 0.65 ; 0.00064339296875 ; 3.02 * 10^-12

Step-by-step explanation:

Given :

Number of monkeys, n1 = 10

Probability of fall, off ; p(m) = 35% = 0.35

Number of kangaroos, n2 = 5

Probability of fall, off : p(k) = 20% = 0.2

1.) A monkey and kangaroo falls off;

p(m) * p(k) = 0.35 * 0.2 = 0.07

2.) probability that monkey will not fall off;

1 - p(m) = 1 - 0.35 = 0.65

3.) probability that a monkey falls off every one of seven nights :

P(m) = 0.35 ; for 7 nights ;

0.35 *0.35 * 0.35 * 0.35 * 0.35 * 0.35 * 0.35 = 0.35^7 = 0.00064339296875

4.)

P(x ≥ 1) = p(1) + p(2) +... + p(10)

Using binomial probability calculator :

n = 7*10 = 70 ; p = 0.35

P(x ≥ 1) = 70C1 * 0.35^1 * 0.65^69 = 3.02 * 10^-12

PLEASE HELP ME
4x+1/3 y^2
x=2
y=3

Answers

4(2)+1/3(3^2) = 11
Hope you got this

Please help me i only have few hours left i need as much as I can ge. ill get you brainliest and send you free mr.beast merch

Answers

Answer:

26cm²

Step-by-step explanation:

Perimeter

2x - 4 + 5x - 13 + x + 9 = 40

8x - 8 = 40

8x = 40 - 8

8x = 32

x = 4

Sides of the triangle

Height = 2x - 4 = 2 x 4 - 4 = 4cm

Hypotenuse = 5x - 13 = 5 x 4 - 13 = 7cm

Base = x + 9 = 4 + 9 = 13cm

Area of triangle

= 1/2 x base x height

= 1/2 x 13 x 4

= 26cm²

Hope this helps

Answer:

26 cm

Step-by-step explanation:

A box of cereal weighs 12 ounces and costs $2.16. What is the price of the cereal per ounce?

Answers

5.5555 is the answer

Answer:

0.18 cents an ounce

Step-by-step explanation:

Take 2.16 and divide it by 12.

Consider a company that has two different divisions. The annual profits from the two divisions are independent and have distributions Profit1 ~ N(5, 3^2) and Profit2 ~ N(7, 4^2) respectively. Both the profits are in $ Million. Assume that $1 = Rs. 45
A. Specify a Rupee range (centered on the mean) such that it contains 95% probability for the annual profit of the company.
B. Specify the 5th percentile of profit (in Rupees) for the company
C. Which of the two divisions has a larger probability of making a loss in a given year?

Answers

Answer:

a) Rs 603.68

b) Rs 476.33

c) first division

Step-by-step explanation:

Total profit = profit 1 + profit 2 = P

hence P ~ N(12,74) = [tex]\frac{P-12}{\sqrt{74} } ~ N(0,1)[/tex]

A ) Specifying a Rupee range ( centered on the mean ) that contains 95% probability for annual profit of the company

$13.41 = Rs 603.68

B) specifying the 5th percentile of profit

p = $10.59 ≈ Rs 476.33

C) The  division that has a larger probability of making a loss in a given year is the first division

attached below is a detailed solution of the given problem

A): Range containing 95% probability for profit of company is

(Rs. 99M, Rs. 1026M).

B): Rs. 170.1 Million.

C): First division of the company has larger probability of making a loss.

Given that:

$1 = Rs. 45

[tex]Profit_1 \sim N(5, 3^2) \\ Profit_2 \sim N(7, 4^2)[/tex]

Thus,

Company's profit:

[tex]P \sim N( 5+7, 3^2 + 4^2) = N(12, 5^2)[/tex]

A):

95% of the probability lies between 1.96 standard deviations of the mean.

Thus range is:

[tex]= (12 - 1.96\times 5, 12 + 1.96 \times 5)\\\\= (\$2.2M, \$22.8M)\\ \\= (\rm Rs. \: 99M, \rm Rs. \: 1026M)[/tex]

B): Fifth percentile is calculated as:

[tex]P(Z \leq \dfrac{p-12}{5}) = 0.05[/tex]

From p values of z score table, we get:

[tex]\dfrac{p-12}{5} = -1.644\\p = 12 - 8.22 = 3.78\\[/tex]

Thus at $3.78M dollars, or Rs. 170.1M amount, 5th percentile of profit lies.

Or 5th percentile of profit is Rs. 170.1 Million.

C): Loss is when profit < 0

Thus: p < 0

The first division of company, thus have larger probability of making a loss in a given year.

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Which of the following shows a reflection of the triangle over the horizontal axis?

Answers

Answer:

I think the first one is the answer

Jim has ridden 24 miles of a bike course. The course is 40 miles long. What percentage of the course has Jim ridden so far?

Answers

Answer:

-

Step-by-step explanation:

Which expression is equivalent to |b| > 6 ?


b 6


b 6


b > –6 or b –6 and b < 6

Answers

Answer:

number 3. is the correct answer.

The equation of the line ​

Answers

Answer: y = 2

Step-by-step explanation: Horizontal means y =

Answer:

○ [tex]\displaystyle y = 2[/tex]

Step-by-step explanation:

This is a STRAIT HORISONTAL LINEAR EQUATION, therefore sinse every x-coordinate will have the same y-coordinate of [tex]\displaystyle 2,[/tex] this is the option you would pick.

I am joyous to assist you at any time.

Ted's taxi service has cabs that can seat 4 people and vans that can seat 15 people. The taxi service can transport a maximum of 134 people in its 17 units. How many vans does Ted's Taci Service have in it's fleet?

A. 19
B. 11
C. 9
D. 6​

Answers

Answer:

D. 6

Step-by-step explanation:

PLEASE HELP IT IS 6th GRADE MATH!!!!!

Answers

Answer:

19

Step-by-step explanation:

[tex]\frac{17b - a^{2} }{2}[/tex]

Substitute the "a" and "b"

a = 8

b = 6

[tex]\frac{17 * 6 - 8^{2} }{2}[/tex]

[tex]\frac{17 * 6 - 64}{2}[/tex]

[tex]\frac{102 - 64}{2}[/tex]

[tex]\frac{38}{2}[/tex]

[tex]19[/tex]

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Kyle's doctor told him that in order to lose weight, he needs to eat less than 2,000 calories a day. He eats 875 calories for breakfast and than 3 protein smoothies. How many calories can the protein smoothies have to reach his goal?

Answers

Answer:

375 calories each

Step-by-step explanation:

2000-875=1125

1125/3=375

Help me with this please worth 40 points!!!

Answers

Step-by-step explanation:

Since KQ bisects RS, we have KR = 0.5SR.

=> 2x - 8 = 0.5(x - 1)

=> 2x - 8 = 0.5x - 0.5

=> 1.5x = 7.5, x = 5.

There are 7,500 shares of $10 par value participating 9 percent preferred stock outstanding, and 32,500 shares of common stock outstanding. The common stock cash dividend is $.50 per share, and total dividends of $50,000 are distributed. Remaining dividends are shared equally between common and preferred stockholders. Round your answers to two decimal places, if necessary.

Answers

Answer:

add the answers then subtract

Step-by-step explanation:

hope this is right

If point C is the circumcenter, find each missing value(picture attached)

Answers

Answer:

d

Step-by-step explanation:


If s= 6 inches, and the altitude, h, is 21 inches, what is the volume of the pyramid?

Answers

Answer: 42 inches

Step-by-step explanation:

To find the volume you multiply 1/3 of the base which is 6 then with 1/3 is 2 them multiply the altitude which is 21. So 2 times 21 is 42 inches

Answer:

The volume of the pyramid is 42 inches³.

Step-by-step explanation:

The formula is V = ⅓ A H. 6x21=126, 126x1/3=42.

please help me with this​

Answers

Answer:

[tex] \frac{17}{8} + \frac{5}{3} = \frac{51 + 40}{24} = \frac{91}{24} [/tex]

hope it can help u~~

Ms. Davis is doing an activity with her statistics students where she gives them a 202020-question multiple choice test, and they know none of the answers. Students need to guess on every question, and each question has 555 possible choices, 111 of which is correct.
What are the mean and standard deviation of the number of questions that each student gets correct?
You may round your answers to the nearest tenth.

Answers

Answer:

The mean and standard deviation of the number of questions that each student gets correct are 4 and 1.789 respectively (

Answer: mean: 4

standard deviation: 1.79

Step-by-step explanation:

Graph the image of the figure after a dilation with a scale factor of 2 centered at (-7, - 2).
Use the Polygon tool to graph the quadrilateral by connecting all its vertices.

Answers

Answer:

Sorry this is late!

Step-by-step explanation:

Marking brainliest

Stefanie has 18 grams of 20% sugar syrup and john 30 of 25% what is the concentration in the new mixture (round to one decimal place)

Answers

Answer:

[tex]23.1\%[/tex]

Step-by-step explanation:

Stefanie's mixture of 18 grams has a 20% sugar content. Therefore, there are  grams of sugar in her syrup.

John's mixture of 30 grams has a 25% sugar content. Therefore, there are  grams of sugar in her syrup.

Therefore, if they mix their syrups together, there will be 11.1 grams of sugar and 48 total grams of content.

The concentration of sugar in the new mixture is [tex]\frac{11.1}{48}=\fbox{$23.1\%$}[/tex](rounded to one decimal place).

The concentration in the new mixture is 23.1%.

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

For example, If Misha obtained a score of 67% on her exam, that corresponds to 67 out of 100. It is expressed as 67/100 in fractional form and as 67:100 in ratio form.

Stefanie's 18-gram combination has 20% sugar. As a result, her syrup contains grams of sugar.

John's 30-gram combination contains 25% sugar. As a result, her syrup contains grams of sugar.

As a result, if they combine their syrups, there will be 11.1 grams of sugar and 48 total grams of the substance.

The new combination has a sugar percentage of 11.1/48 = 23.1%. (rounded to one decimal place).

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The formula shown can be used to find A the amount of money Raul has in his saving account Raul wants to find r the rate of interest his money earns which equation is correctly solved for r

Answers

Answer: r= A-P/ Pt

Step-by-step explanation: ur welcome

The equation [tex]r = \frac{A-P}{pt}[/tex] is correctly solved for r.

Here,

The formula shown can be used to find A the amount of money Raul has in his saving account.

Raul wants to find r the rate of interest his money earns.

We have to find the equation is correctly solved for r.

What is Rate of interest?

The interest rate is the amount a lender charges a borrower and is a percentage of the principal—the amount loaned.

Now,

The formula which shown to find A is;

A = P + Prt

Hence, equation is correctly solved for r is;

[tex]A = P + Prt\\\\A-P = Prt\\\\r = \frac{A-P}{Pt}[/tex]

So, The equation [tex]r = \frac{A-P}{pt}[/tex] is correctly solved for r.

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On Saturday, Darnel earned $65 raking his neighbor's leaves and cleaning her garage. On Sunday, he earned $25 helping another neighbor rake leaves. He deposited his earnings in his bank account on Monday. What was the total change in Darnel's bank account relative to where it started? combine like terms to simplify the expression, 5y + 8x - y + 12x Write the equation of the line in slope intercept form that has a slope of -4 and ay-intercept of -8. Could you guys help me with this Im stressed out ill give brainliest please dont answer if you dont know thank you Grinnell Glacier in Glacier National Park in the US covered about 142 acres in 2007 and was shrinking at a rate of about 4.4% per year.3 (a) Write a formula for the size, , of the Grinnell Glacier, in acres, as a function of years since 2007. (b) Use the model to predict the size of the glacier in the year 2020. (c) According to the model, how many acres of ice were lost from the glacier between 2007 and 2010 . Playing American music in the Philippines is an example of _____.acculturationcultural diffusioncultural diversitydefending traditions 2? The Ten Commandments Moral and ethical behavior Equality before the law Limited governmentThe chart shows characteristics of the -ASharia lawsB.Justinian CodeJudeo-Christian traditionsDEightfold PathTINCA The enzyme responsible for breaking down protein in the digestive process is ______. can someone help me please What made the election of 1800 unique, and what were the final results? Which expression shows the prime factorization of 66? please i need help so bad its a test City officials estimate that 46 percent of all city residents are in favor of building a new city park. A random sample of 150 city residents will be selected. Suppose that 51 percent of the sample are in favor of building a new city park. Which of the following is true about the sampling distribution of the sample proportion for samples of size 150? - 5/6 * 1/8Practice and problem solving please help g(x) = -x - 1 i need help with geometry 4. The money in Mrs. Finchs savings account is earning 1.45% interest. Which number below is greater than 1.45% A) 0.009 B) 0.019 C) 0.0032 D) 0.0117 6 and 6x are like termstrue or false 6 pounds of candy cost $22.44 how much does it cost of 10 pounds Which of the following is one of the major themes in The Odyssey? forgivenessvengeancethe value of pine nutsspirituality Rewrite the given sentences, replacing the bolded direct object (I put them in parentheses) with the correct direct object pronoun. Remember that object pronouns are placed before the verb. See slides 21-23 of the tutorial Chores Around the House for review.Type the correct answer in each box (the blanks). Spell all words correctly. Example: Mon frre adore les chiens. Mon frre les adore.Je donne (la carotte) au lapin. Je ____ donne au lapin.Vous voyez (les canaris)? Vous ____ voyez?Nous aimons (les serpents). Nous _____ aimons.Tu gardes (le cha.t)? Tu ____ gardes?Il lance (la balle) au chien. Il ____ lance au chien.