Anyone know the answer?

Anyone Know The Answer?

Answers

Answer 1

Answer:

A 4955.30

Step-by-step explanation:

A = P ( 1+i) ^ t

where A is the amount in the account

P is the principal

i is the interest rate

and t is the time in years

A = 4000(1+.055)^4

A = 4000(1.055)^4

A = 4955.2986025

Rounding to the nearest cent

A = 4955.30


Related Questions

What is the y-intercept of the function f(x)=2/9x+1/3

Answers

Answer:

1/3

Step-by-step explanation:

Slope intercept form: y=mx+b

m=rise/run (slope)

b= y-intercept

b=1/3

3 pipes take 60 minutes to water the field. How much time will it take to water the field with 6 pipes? Is this direct proportion or inverse proportion and why? Full working out and equation please.​

Answers

Answer:

30 minutes

Step-by-step explanation:

3 pipes takes 60 minutes, so one pipe must take 3*60 minutes as it would be 3 times slower. This equates to 180 minutes.

1 pipe takes 180 minutes so 6 pipes would take 1/6 of the time or 6 times faster.

The equation becomes 180/6

= 30 minutes.

Equation is; 3*60/6 = 30 minutes

This is inverse proportion.

The answer is 30 minutes

If it takes 3 pipes 60 minutes to water the field

The amount of time it will take one pipe can be calculated as follows

t= constant(k) × number of pipes

60= k/3

cross multiply

k = 60×3

= 180

Since it takes one pipe 180 minutes to water the field, then the amount of time it will take 6 pipes can be calculated as follows

= 180/6

=  30

Hence it will take 6 pipes 30 minutes to water the field

It is an inverse proportion because an increase in one quantity leads to a decrease in the other.

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It is $50 to join a club and then $15 per month. Which expression below represents the monthly fee?
a.
15m + 50
b. 65m
c.
15 + 50m
d.
3.3m

Answers

Answer:

A

Step-by-step explanation:

You only have to pay the $50 one time and then you add the $15 and multiply it by however many months you choose to do.

Answer: A

Step-by-step explanation: Hope this helps



A single, six-sided die is rolled. Find the probability of rolling an odd number or a number less than 4.

Answers

There are 6 possible outcomes:
Rolling a 1, 2, 3, 4, 5, or 6

Odd outcomes include 1, 3, 5 with the addition of 4 is equal to a total of 4 out of 6 possible outcomes to role one of those numbers.

The answer is 4/6 or 2/3

Answer:

your answer is there are 6 possible outcomes:

1, 2, 3, 4, 5 or 6

Items are 1, 3, 5 and 4 are equal to a total of 4 out of 6 results.

The answer is 4/6 or 2/3

Hope this helps :) -Mark Brainiest Please :)

What is the distance between the points (–4, 2) and (3, –5)?

Answers

Answer:

[tex]\sqrt{98}[/tex]

Step-by-step explanation:

Using the distance formula

with (x₁, y₁ ) = (- 4, 2) and (x₂, y₂ ) = (3, - 5)

d = [tex]\sqrt{(3+4)^2+(-5-2)^2}[/tex]

  = [tex]\sqrt{7^2+(-7)^2}[/tex]

  = [tex]\sqrt{49+49}[/tex]

  = [tex]\sqrt{98}[/tex]

C= [tex]\sqrt{98}[/tex]

What happens when you square a square root?

We could say that the square root or the square cancel each other out. They are a inverse of each other. If we have the number written with the index two ( squared) then taking the square root simply means that we leave out the two ( this only applies on the positive numbers ).

How to figure out square roots?

Start by i = 1, if i * i = n, then i it is the square root of n as n is the perfect square.if i * i > n, it means square root must lie between (i-1, i), let’s call them (low, high)Apply binary search in the range (low, or high). Find mid of (low, high):

Using the distance formula

with (x₁, y₁ ) = (- 4, 2) and (x₂, y₂ ) = (3, - 5)

[tex]d= \sqrt{(3+4)^{2} +(-5-2)^{2}} \\\\= \sqrt{7^{2} + (-7)^{2}} \\\\= \sqrt{49+49} \\\\=\sqrt{98}[/tex]

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Write “12 more than r” as an expression

Answers

Answer:

12 + r or r + 12

Step-by-step explanation:

Either way can be written as the expression 12 is more than r or x

Answer:

f(r) = r + 12

Step-by-step explanation:

An expression is an equation that usually involves x and y. When we are dealing with a unknown number we use a variable. some common variable is x and y, in this instance we will use r. Therefore we have to have r in our expression. however, we need a output therefore we use function of r. (f(r))

p.s. F(r) usually represents y.

futhermore, if you see more than you know you will use addition.

hope this helps!

(t9)-8 what is the simplify expression

Answers

The answer would be -72t because all you would have to do is multiply the expression

[tex]\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (t^9)^{-8}\implies t^{-8\cdot 9}\implies t^{-72}\implies \cfrac{1}{t^{72}}[/tex]

Write the function of the graph

Answers

Answer:

Option A: f(x) = 4 * 2^x

Step-by-step explanation:

4 because it is the y intercept.

2 because if you see point (1,8), yousee the 8 = 4 * a^1 where a = 2

If you need more explanation, please comment below.

Thank you!!

Answer:

A. [tex]f(x)=4\cdot (2)^x[/tex]

Step-by-step explanation:

We have been given graph of a function. We are asked to write the function formula from given graph.

We can see that our given function is an exponential function, so it will be in form [tex]y=a\cdot b^x[/tex], where,

a = Initial value or y-intercept,

b = Growth rate.

We can see that y-intercept is 4.

Now, we will solve for b using the point (1,8) as:

[tex]8=4\cdot b^1[/tex]

[tex]8=4\cdot b[/tex]

[tex]\frac{8}{4}=\frac{4\cdot b}{4}[/tex]

[tex]2=b[/tex]

Therefore, our required function would be [tex]f(x)=4\cdot (2)^x[/tex] and option A is the correct choice.

Factor p 2 + 18p + 32.
(p+ 4)(p + 8)
(P + 2)p+ 16)
(P + 16)2

Answers

Answer:

(P + 2)(p+ 16)

Step-by-step explanation:

Factor p 2 + 18p + 32.

Consider the form  x² +bx +c. Find a pair of integers whose product is  c  and whose sum is b .

In this case, whose product is  32  and whose sum is  18 .

2,16 .

Write the factored form using these integers.

(P + 2)(p+ 16)

                                        CHECK

(P + 2)(p+ 16)

distribute

p(p+16) + 2(p+16)

simplify

p² + 16p + 2p + 32

combine 16p + 2p = 18p

p² + 18p + 32

Please mark as brainliest

Answer:

(p + 2)(p + 16)

That's your answer!!

Which equation results from taking the square root of both sides of (x - 9)2 = 81?
Ох – 9 = +9
Ox+ 9 = +9
Ox+ 3 = +9
Ох – 3 = +9

Answers

Answer:

х – 9 = +9

Step-by-step explanation:

The equation results from taking the square root of both sides of

(x- 9)² = 81 is x -9 = ±9.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have Equation,

(x- 9)² = 81

Now, simplifying for x we get

Take square root on both side

x-9 = √81

x -9 = ±9.

Then, the equation results from taking the square root of both sides is

x -9 = ±9.

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Graph AABC with vertices AC-3, 4), B(-1,2), and C(-2,0) and its image after a 270° rotation about the origin.

Answers

Answer:

Here's what I get.

Step-by-step explanation:

The formula for rotation of a point (x,y) by an angle θ about the origin is  

x' = xcosθ  -  ysinθ

y' = ycosθ + xsinθ

If θ = 270°, sinθ = -1 and cosθ = 0, and the formula becomes

x' =    y

y' =  -x

A: (-3,4)  ⟶ (4,3)

B: (-1,2)   ⟶ (2,1)

C: (-2,0) ⟶ (0,2)  

The vertices of A'B'C' are (4,3), (2, 1), and (0, 2).

The Figure below shows the triangle before and after the rotation.

What is the solution for the inequality -4(x+3)<-2-2x?

Answers

Hello!

Answer:

[tex]\boxed{X>-5}\checkmark[/tex]

The answer should have negative sign.

Step-by-step explanation:

Distributive property: a(b+c)=ab+ac

First, expand.

-4(x+3)=-4x-12

-4x-12<-2-2x

Then add by 12 both sides of an equation.

-4x-12+12<-2-2x+12

Simplify.

-4x<-2x+10

You add by 2x both sides of an equation.

-4x+2x<-2x+10+2x

Simplify.

-2x<10

Multiply by -1 both sides of an equation with reverse inequality.

(-2x)(-1)>10(-1)

Simplify.

2x>-10

Then you divide by 2 both sides of an equation.

2x/2>-10/2

Finally, simplify and solve to find this answer.

-10/2=-5

[tex]\boxed{x>-5}[/tex], which is our correct answer.

Hope this helps you!

Have a nice day! :)

Thank you!

-Charlie

You just finished paving a rectangular driveway measuring 75 feet by 20 feet. You charged the customer $1,000. After deducting the expenses shown below, how much profit did your company make on this job?

Answers

Answer:

The missing information is attached in the picture below.

The company made $292.5 dollars in profit.

Step-by-step explanation:

Using the information provided by the table, we can calculate how much money was spent

1. gravel

12 and a half cubic yards * $15  = $187.5

2. tar/sealant

$0.15 per square foot * (75*20 ft^2) = $225

3. labor

$10 per hour * 25 hours = $250

4. insurance

fixed $45

We add all the expenses together

$(187.5 + 225 + 250 + 45)  = $707.5

The profit will be equal to

$1000 - $707.5 = $292.5

Step-by-step explanation:

If x varies directly with y and x = 6 when y = 15, find x when y= 20.

Answers

Answer:

8

Step-by-step explanation:

Varies directly think y=kx

Varies indirectly think y=k/x

We have first option so y=kx

x=6 and y=15 means we have 15=k(6)

So k=15/6 or reducing gives=5/2

So we just found our constant of proportionality, this number never changes.  It stays the same no matter what x or y they give you...

So the equation is y=5/2 *x

Now what is x if y=20

Plug in 20=5/2 *x

So x=20*2/5=40/5=8

f(x) = 2x - 8
g(x) = -5x
What is h(x) = f(x)g(x)?

Answers

Answer:

-10x^2 + 40x

Step-by-step explanation:

f(x) = 2x - 8

g(x) = -5x

f(x)g(x)= (2x-8) (-5x)

            = -10x^2 + 40x

The graphic models one of the properties used to solved a one variable equation 8(3x+40)=10. Which property is being modeled
A. Addition property of equality
B. Commutative property of multiplication
C. Distributive property of multiplication
D. Associative property of addition

Answers

Answer:

the answer is C. Hope this helps

Answer:

C. Distributive property of multiplication

Step-by-step explanation:

I got 100%

Emily went to a local shop to purchase some round rugs. Each rug has a radius of 3 feet. She is
trying to cover as much of the floor of her 18 foot by 20 foot living room as possible without
any overlap of the rugs. How much of the bare floor will be visible around the rugs?
A. 20.76 square feet
B. 254.47 square feet
C. 9 square feet
D. 105.5 square feet

Answers

Answer:

D. 105.5 square feet

Step-by-step explanation:

Given:

The  rug has a radius of 3 feet.

The floor dimensions are 18 feet by 20 feet.

Now we have to find the area of the rug using area of the circle formula and also we need to find the area of the floor which is in rectangle shape.

Area of a circle = [tex]\pi r^2[/tex]

r = 3 feet and the value of [tex]\pi = 3.14[/tex]

Now plug in the given values in the above formula, we get

Area of a rug = 3.14*3*3

Area of a each rug is  28.27 square feet.

Now let's find the area of the floor.

Area of the floor = length * width

Here length = 18 feet and width = 20

The area of the floor = 18*20

= 360 square feet

Now we have to find how many rugs needed to cover the floor without overlap.

Here the radius of the rug = 3 feet

The diameter of the rug = 2*radius = 2*3 = 6 feet

So one rug covers 6 feet by length and width.

Therefore, 18/6 = 3

The width is 20 feet

20/6 = 3, we have to take the whole number part only.

So Emily needs only 3*3 = 9 rugs.

The area of the 9 rugs = 9*28.27  = 254.43

To find the bare floor will be visible around the rugs, we need to subtract the area of the 9 rugs from the floor area

Bare floor = 360 - 254.43

Bare floor = 105.5 square feet.

Which of the graphs above is the graph of the equation below?
y = 13 – 632 + 111 - 6 = (1 - 3)(1 – 2)(1 - 1)

Answers

Answer:

Shown below

Step-by-step explanation:

To solve this problem, we need to analyze the leading coefficient and the roots of the polynomial function:

[tex]f(x)=x^3-6x^2+11x-6[/tex]

Recall that a polynomial function can be represented by:

[tex]f(x)=a_{n}(x)+ \ldots +a_{1}x+a_{0}[/tex]

So the leading coefficient is [tex]a_{n}[/tex]. In our problem, this coefficient is [tex]a_{n}=1[/tex]

Since [tex]n[/tex] is odd and the leading coefficient [tex]a_{n}>0[/tex], then the graph must falls to the left and rise to the right. Also, the roots are [tex]x_{1}=1 \ x_{2}=2 \ and \ x_{3}=3[/tex]. So the only graph that matches this is the fourth one as indicated below.

Answer:

w

Step-by-step explanation:

for Plato

How do the two equations differ? y=(kx)^3 and y=kx^3

Answers

The parenthesis tell you which equation to do first.

P arenthesis

E xponents

M ultiplication

D ivision

A ddition

S ubtraction

What is the product of (3) (-16) (-7)(-14),
OA.
7
0
B. -
OC -
OD.
help

Answers

Answer:

(3)(-16)(-7)(-14) = (-48)(-7)(-14) = (+336)(-14) = - 4704;

Step-by-step explanation:

Please answer the question I need help

Answers

Answer:

x + 3x + 5 = 101

Step-by-step explanation:

Consider your problem and think of an equation of each person. We know that Aylen has a certain amount of money, which will be x. Rich though has 5 more than 3 times Aylen.

Aylen: x amount of money

Rich: 5 more than 3 times the amount of money of Aylen.

5 more indicates addition, 3 times indicates multiplication

So then:

Rich: 5 + 3x     (where x is the amount of money of Aylen)

Now both of them have $101 together, in other words, if you add up their money they would have $101. So we add their equations:

x + 5 + 3x = 101

Because the operation is addition, we can switch their places and the result will not change so the answer would be:

x + 3x + 5 = 101

what is the simplified form of the following expression? assume x doesn’t = 0

Answers

For this case we must simplify the following expression:

[tex]\sqrt [5] {\frac {10x} {3x ^ 3}}[/tex]

We rewrite the expression as:

[tex]\sqrt [5] {\frac {10x} {x * 3x ^ 2}} =[/tex]

We eliminate common factors:

[tex]\sqrt [5] {\frac {10} {3x ^ 2}} =\\\frac {\sqrt [5] {10}} {\sqrt [5] {3x ^ 2}}[/tex]

We multiply the numerator and denominator:

[tex](\sqrt [5] {3x ^ 2}) ^ 4:\\\frac {\sqrt [5] {10}} {\sqrt [5] {3x ^ 2}} * \frac {(\sqrt [5] {3x ^ 2}) ^ 4} {(\sqrt [5] {3x ^ 2}) ^ 4} =[/tex]

\frac {\ sqrt [5] {10} * (\sqrt [5] {3x ^ 2}) ^ 4} {\sqrt [5] {3x ^ 2} * (\sqrt [5] {3x ^ 2} ) ^ 4} =

[tex]\frac {\sqrt [5] {10} * (\sqrt [5] {3x ^ 2}) ^ 4} {(\sqrt [5] {3x ^ 2}) ^ 5} =\\\frac {\sqrt [5] {10} * (\sqrt [5] {3x ^ 2}) ^ 4} {3x ^ 2} =[/tex]

[tex]\frac {\sqrt [5] {10} * \sqrt [5] {(3x ^ 2) ^ 4}} {3x ^ 2} =\\\frac {\sqrt [5] {10} * \sqrt [5] {81x ^ 8}} {3x ^ 2} =\\\frac {\sqrt [5] {10} * \sqrt [5] {81x ^ 5 * x ^ 3}} {3x ^ 2} =[/tex]

[tex]\frac {\sqrt [5] {10} * x \sqrt [5] {81x ^ 3}} {3x ^ 2} =\\\frac {x \sqrt [5] {810x ^ 3}} {3x ^ 2}[/tex]

Answer:

[tex]\frac {x \sqrt [5] {810x ^ 3}} {3x ^ 2}[/tex]

[tex]\frac {\sqrt [5] {810x ^ 3}} {3x}[/tex]

Answer:

The simplified form is [tex]\frac{\sqrt[5]{810 x^{3}}}{3x}[/tex]

Step-by-step explanation:

we need to simplify the value of x in given expression:

[tex]\sqrt[5]{\frac{10x}{3x^{3}}}[/tex]

Re- write the above as,

[tex]\sqrt[5]{\frac{10}{3x^{2}}}[/tex]

[tex]\frac{\sqrt[5]{{10}}}{\sqrt[5]{3x^{2}}}[/tex]

Multiply numerator and denominator by [tex](\sqrt[5]{3x^{2}})^{4}[/tex]

[tex]\frac{\sqrt[5]{{10}}}{\sqrt[5]{3x^{2}}} \times \frac{(\sqrt[5]{3x^{2}})^{4}}{(\sqrt[5]{3x^{2}})^{4}}[/tex]

[tex]\frac{\sqrt[5]{{10}}{\sqrt[5]{(3x^{2}}})^4}{{3x^{2}}}[/tex]

[tex]\frac{\sqrt[5]{{10}}{\sqrt[5]{81x^{8}}}}{{3x^{2}}}[/tex]

[tex]\frac{x \sqrt[5]{810 x^{3}}}{3x^{2}}[/tex]

[tex]\frac{\sqrt[5]{810 x^{3}}}{3x}[/tex]

Hence, the simplified form is

[tex]\frac{\sqrt[5]{810 x^{3}}}{3x}[/tex]

which terms can be defined as "the steepness of a line" ?

Answers

The steepness of a line is slope.  This is how fast y changes with respect to x.  It is the rise over the run.

Hope this helps!!

This is called slope

Compare the rates of change of the following items.


A.
The rate of change of item I is greater than the rate of change of item II.

B.
The rate of change of item II is greater than the rate of change of item I.

C.
The rate of change of item I is equal to the rate of change of item II.

Answers

Answer:

It was A.

Step-by-step explanation:

the rate of change of item I is greater than the rate of change of item II.

I just had it and answer B. was wrong

The rate of change of item I is greater than the rate of change of item II. (Option A)

How to find the rate of change of a linear equation?

Suppose that the considered linear equation is of the form [tex]y = mx + c[/tex]

Then, when we change x by 1 unit, then:

[tex]y + \delta y = m(x + 1) + c\\mx + c + \delta y = mx + c + m\\\delta y = m[/tex]

where [tex]\delta y[/tex] shows the change in y as x changes by 1 unit.

We found that this change is the value of 'm'.

It is called slope of the line this equation represents (each linear equation represents a line).

Finding rate of each item:

Case 1: y =  3x - 11

The rate is 3 units increment in y per unit increment in x. In short, the rate is 3 unit / unit increment in x

Case 2:

Since graph of a straight line is given, we can find its slope which would represent its rate.

Consider x = 0, for which y = 0 is given in graph.

Now change x by 1 unit, so x becomes x = 1

At x =1 , y = 2

So we see that as x changes by 1 unit, y goes from 0 to 2 (change of 2 units).

Hence, the rate is 2 units increment in y per unit increment in x. In short, the rate is 2 unit / unit increment in x

Thus, the rate of change of item I is greater than the rate of change of item II. (Option A)

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Which table of values could be generated by the equation 4y−2x=16

Answers

Answer:

x=0, y=4

x=2, y=5

x=4, y=6

x=6, y=7

x=8, y=8

x=10, y=9

For every x value goes up one, the y value goes up 2.

Step-by-step explanation:

Please mark brainliest and have a great day!

Answer:

x=0, y=4

x=2, y=5

x=4, y=6

Step-by-step explanation:

Which quantities is proportional to 26⁄13?

Answers

Quantities that are proportional to 26/13 are any other fractions that can reduce to positive 2.

26/13 = 26 ÷ 13 = 2

10/5 = 10 ÷ 5 = 2

200/100 = 200 ÷ 100 = 2

Answer:

So any fraction equal to 2 will work.

Step-by-step explanation:

Don't know which but I could tell you some that are equivalent to or proportional to 26/13.

26/13 reduces to 2 so 2 is a quantity that is proportional to 26/13

So any fraction equal to 2 will work.

Which of the following is the graph of y = 3x2 + 6?

Answers

Answer:

what are the graphs?

Step-by-step explanation:

Answer:

(0,6)

Step-by-step explanation:

Erinn wrote the equation –5x + 4y = 32 to represent her hourly wage (y) and how this wage has changed during each year that she worked at a company (x).

What is the rate of change in Erinn's hourly wage per year?

Answers

Answer:

The rate of change in Erinn's hourly wage per year is [tex]1.25\$\ hour/year[/tex]

Step-by-step explanation:

we have that

x ----> the time in years that she worked at a company

y ----> represent the hourly wage

[tex]-5x+4y=32[/tex] ----> linear equation that represent the situation

Solve for y

[tex]4y=5x+32[/tex]

[tex]y=(5/4)x+32/4[/tex]

[tex]y=1.25x+8[/tex]

The slope m of the linear equation is

[tex]m=1.25\$\ hour/year[/tex]

The rate of change in Erinn's hourly wage per year is equal to the slope of the linear equation

so

The rate of change in Erinn's hourly wage per year is [tex]1.25\$\ hour/year[/tex]

Find the sum of the sequence 45+46+47+48+.... +124

Answers

Answer:

[tex]\boxed{6760}[/tex]

Step-by-step explanation:

The formula for the first n terms of an arithmetic sequence is

Sₙ = n(a₁+ aₙ)/2

1. Find the number of terms

n = (124 - 45) + 1 = 79 + 1 = 80

2. Find the sum

 a₁ =   45

a₈₀ = 124

[tex]S_{80} = 80 \left(\dfrac{45 + 124 }{2}\right) = 80 \times 84.5= \boxed{\mathbf{6760}}[/tex]

Rory records the percentage of battery life remaining on his phone throughout a day. The graph represents the percentage of battery life remaining after a certain number of hours.

Rory’s battery was full at 6:00 a.m, or t = 0. Which times could Rory's phone have been plugged into the charger? Select three options.
12:00 p.m.
3:00 p.m.
5:00 p.m.
8:00 p.m.
11:00 p.m.

Answers

11:00 8:00 5:00
And a bunch of words to fill in the 20 spaces needed
Other Questions
During revision, you should scan your paper for _______ words and replace them with concrete words or phrases. A. informal B. formal C. general D. figurative Which statements describe how a machine can help make work easier? Check all that apply.It can put out more force than the input force by decreasing the distance through which force is applied.It can increase the amount of work performed if the output force is in the same direction as the input force.It can apply a force to an object in a different direction than the force applied to the machine.It can increase the distance through which a force acts by exerting less force than was used on it.It can exert a greater force through a greater distance than the force used on the machine. What is the product of (2x - 5)(2x + 5)? Organic apples are on special for $1.50 per pound. Does total cost varyinversely or directly with the number of pounds purchased? Find the cost of3.4 pounds of apples.A. Inversely: $5.10B. Directly; $5.10C. Inversely: $2.27D. Directly; $2.27 Please help. m.XYZ =radians. Covert this radian measure to its equivalent measure in degrees. Can you divide 25 into 4 equal groups? Explain why or why not. Fit a quadratic function to these three points (-1, -11) (0,-3) and (3,-27) A line passes through (3, -2) and (6,2). Write an equation for the line in point-slope form.Rewrite the equation in standard form using integers. this line plot shows how many miles maya walked this week. (please look at photo)which shows the number of miles maya would have walked each day is she would have walked the same distance every day. A - 9 9/14 milesB - 9 milesC - 8 9/14 milesD - 8 miles Which of the following was not a result of the Lincoln-Douglas debates?Douglas was elected senator of Illinois.Lincolns national profile was raised.Citizens in both the North and South followed the debates closely.Lincoln successfully defended the principle of popular sovereignty. Probability geometry question 20 points and brainiest Hector plans to randomly draw a card from a standard deck of cards, record the result, return the card to the deck, shuffle the deck, and randomly draw another card. So, he will draw a total of 2 cards. What is the probability that he draws a 2, and then a 4? What is the amount of heat required to raise the temperature of water referred to as? A. Heat of vaporization B. Specific heat C. Heat of combustion Giuseppi's Pizza had orders for $931.00 of pizzas. The prices were $21 for a large pizza, 514 for a medium pizza, and $7 for a small pizza. The number of large pizzas was two less than four times the number of medium pizzas. Thenumber of small pizzas was three more than three times the number of medium pizzas. How many of each size of pizza were ordered? What is importing?HELP PLEASE Which verb form correctly completes the sentence? Pamela ___________ ropa tradicional en el centro comercial.A. vendoB. vendemosC. vendeD. venden Calculate the standard enthalpy of formation of liquid methanol, CH3OH(l), using the following information: C(graphite) + O2 LaTeX: \longrightarrow CO2(g) LaTeX: \Delta H = 393.5 kJ/mol H2(g) + O2 LaTeX: \longrightarrow H2O(l) LaTeX: \Delta H = 285.8 kJ/mol CH3OH(l) + O2(g) LaTeX: \longrightarrow CO2(g) + 2H2O(l) LaTeX: \Delta H = 726.4 kJ/mol At an open or uncontrolled intersection, yield if ____.A. Your road is paved and the crossroad is notB. The cross road is paved and yours is notC. You have two or more passengers in your vehicleD. You did not yield in the last intersection Which is not a correct way to rewrite this expression using the distributiveproperty? Which event in Amaterasu does the author include to create suspense?As a storm god, Susanowo rules the sea.O Amaterasu takes the sun and hides in a cave.The other gods remain cautious as they watch.Amaterasu and peace return to the lands. Children play a form of hopscotch called Jumby. The pattern for the game is as given below.Find the area of the pattern simplest in form.(SHOW WORK) Steam Workshop Downloader