What is an equation of the line that passes through (2,2) and is parellel to the line y=7x

Answers

Answer 1

Answer:

Therefore, equation of the line that passes through (2,2) and is parellel to the line [tex]y=7x[/tex] is [tex]y=7x-12[/tex]

Step-by-step explanation:

Given:

a line [tex]y=7x[/tex]

To Find:

Equation of line passing through ( 2, 2) and is parellel to the line y=7x

Solution:

[tex]y=7x[/tex]     ...........Given

Comparing with,

[tex]y=mx[/tex]

Where m =slope

We get

[tex]Slope = m = 7[/tex]

We know that parallel lines have Equal slopes.

Therefore the slope of the required line passing through (2 , 2) will also have the slope = m = 7.

Now the equation of line in slope point form given by

[tex](y-y_{1})=m(x-x_{1})[/tex]

Substituting the points and so we will get the required equation of the line,

[tex](y-2)=7(x-2)=7x-14\\\\y=7x-12......Equation\ of\ line[/tex]

Therefore, equation of the line that passes through (2,2) and is parellel to the line [tex]y=7x[/tex] is [tex]y=7x-12[/tex]


Related Questions

Write the general equation for the circle that passes through the points (-1,2)(4,2)(-3,4)

Answers

Answer:

x² + y² - 3x - 13y + 18 = 0

Step-by-step explanation:

Recall that the general equation of a circle looks something like this:

x² + y² + Ax + By + C = 0

substituting each of the points into the equation we get:

for (-1,2)

(-1)² + (2)² + A(-1) + B(2) + C = 0

1 + 4 -A+2B + C = 0

-A + 2B + C + 5 = 0 ------------ eq 1

for (4,2)

(4)² + (2)² + A(4) + B(2) + C = 0

16 + 4 + 4A + 2B + C = 0

4A + 2B + C + 20 = 0 ------------- eq 2

for (-3,4)

(-3)² + (4)² + A(-3) + B(4) + C = 0

9 + 16 -3A + 4B + C = 0

-3A + 4B + C + 25= 0 ----- eq 3

Now we have a system of equations with 3 equations and 3 unknowns.

Solving for A, B and C, we eventually get:

A = -3, B = -13, C = 18

Substituting these into the general equation:

x² + y² + Ax + By + C = 0

x² + y² - 3x - 13y + 18 = 0

For the equations given below, which statement is true?
-3x-8=19
-3x-2=25
A. The equations have the same solution because the second equation can be obtained by subtracting 6 from both sides of the first equation.
B. The equations have the same solution because the second equation can be obtained by adding 6 to both sides of the first equation.
C. The equations have the same solution because the second equation can be obtained by subtracting 19 from both sides of the first equation.
OD. The equations do not have the same solution because the second equation can be obtained by adding 6 to both sides of the first equation.

Answers

Answer:

B

Step-by-step explanation:

If you add 6 to both sides, you get -3x-8+6=19+6 which is then -3x-2=25

The function f(x) = −x2 + 44x − 384 models the hourly profit, in dollars, a shop makes for selling coffee, where x is the number of cups of coffee sold, and f(x) is the amount of profit. Part A: Determine the vertex. What does this calculation mean in the context of the problem? (4 points) Part B: Determine the x-intercepts. What do these values mean in the context of the problem? (4 points) Part C: Determine the y-intercept. What does this value mean in the context of the problem? (2 points) (10 points)

Answers

Answer:

Part A) The vertex is the point (22,100) see the explanation

Part B) The x-intercepts are the points (12,0) and (32,0 see the explanation

Part C) The y-intercept is the point (0,-384) see the explanation

Step-by-step explanation:

Let

x ----> the number of cups of coffee sold

f(x) ---> the amount of profit

we have

[tex]f(x)=-x^{2} +44x-384[/tex]

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

Part A) Determine the vertex. What does this calculation mean in the context of the problem?

Convert the quadratic equation in vertex form

Factor -1

[tex]f(x)=-(x^{2}-44x)-384[/tex]

Complete the square

[tex]f(x)=-(x^{2}-44x+22^2)-384+22^2[/tex]

[tex]f(x)=-(x^{2}-44x+484)+100[/tex]

Rewrite as perfect squares

[tex]f(x)=-(x-22)^{2}+100[/tex]

The vertex is the point (22,100)

That means ----> The maximum profit of $100 is when the number of cups of coffee sold is 22  

Part B)  Determine the x-intercepts. What do these values mean in the context of the problem?  

we know that

The x-intercepts are the values of x when the value of the function is equal to zero

so

we have

[tex]f(x)=-(x-22)^{2}+100[/tex]

For f(x)=0

[tex]0=-(x-22)^{2}+100[/tex]

solve for x

[tex](x-22)^{2}=100[/tex]

take square root both sides

[tex](x-22)=\pm10[/tex]

[tex]x=22\pm10[/tex]

so

[tex]x=22+10=32[/tex]

[tex]x=22-10=12[/tex]

The x-intercepts are the points (12,0) and (32,0)

That means -----> When the number of cups of coffee sold is 12 or 32 the profit is equal to zero

Part C) Determine the y-intercept. What does this value mean in the context of the problem?

we know that

The y-intercept is the value of the function  when the value of x is equal to zero

so

For x=0

[tex]f(x)=-x^{2} +44x-384[/tex]

substitute the value of x

[tex]f(x)=-(0)^{2} +44(0)-384[/tex]

[tex]f(x)=-384[/tex]

The y-intercept is the point (0,-384)

That means ----> When the number of cups of coffee sold is zero the profit is negative -$384 (the cost is greater than the revenue)

Jacob has purchased a $129,000 home with a 30-year mortgage at 5.15%. He can make a monthly payment of $1000. If he were to make this
payment each month, how many months will it take him to pay off his mortgage? Round you answer to a whole number.​

Answers

Answer: 188 months

Step-by-step explanation:

Principal = $129 000

Payment = $1000

Mortgage % = 5.15

Since,

Number of Months = log (1+[rate/(Payment/Principal)-rate] / log (1 + rate)

Also,

rate = 5.15/1,200 = 0.004292

Number of Months = log (1 + [0.004292/(1,000/129000) -0.004292] / log(1+0.004292)

Number of Months = log ( 1 + 0.004292/ ((0.007752 -0.004292) / log (1.004292)

Number of Months = log ( 1 + (0.004292/0.00346))/ log (1.004292)

Number of Months = log (1 + 1.240) / log (1.004292)

Number of Months = log (2.240) / log (1.004292)

Number of Months = 0.3502 / 0.001860

Number of Months = 188.28 months

Approximation to whole month,

Number of months = 188 Months.

Solve the system of equations algebraically. Verify your
answer using the graph.
y = 4x - 5
y=-3
What is the solution to the system of equations?
(1, -3)
in

Answers

Answer:

The solution is the point (0.5,-3)

Step-by-step explanation:

we have

[tex]y=4x-5[/tex] ----> equation A

[tex]y=-3[/tex] ----> equation B

Solve the system by substitution

Substitute equation B in equation A

[tex]-3=4x-5[/tex]

Solve for x

Adds 5 both sides

[tex]-3+5=4x[/tex]

[tex]2=4x[/tex]

Divide by 4 both sides

[tex]x=0.5[/tex]

therefore

The solution is the point (0.5,-3)

Verify your  answer using the graph

using a graphing tool

Remember that the solution of the system of equations is the intersection point both graphs

The intersection point is (0.5,-3)

therefore

The solution is the point (0.5,-3)

see the attached figure

Answer:

Since y= -3, just put that in the equation.

-3 = 4x - 5

+5         +5

2 = 4x

/4    /4

x=1/2


The amount of money in an account can be determined by the formula A re where is the
initial investment, r is the annual interest rate, and tis the number of years the money was
invested. What is the value of a $5000 investment after 18 years, if it was invested at 4% interest
compounded continuously?

Answers

Answer: $10272.17

Step-by-step explanation: Please see attachment for explanation

Answer:

[tex]\$10272.17[/tex]

Step-by-step explanation:

Since it is compounded continuously, we will use:

[tex]A=A_0 \cdot e^{k t}[/tex]

[tex]A_0[/tex] is the amount invested.

[tex]k[/tex] is the rate.

[tex]t[/tex] is the number of years you let the money sit.

[tex]A[/tex] is the future amount after the [tex]t[/tex] years that has been accumulated.

(Note:

I'm going to write [tex]r=4%[/tex] as a decimal. [tex]r=\frac{4}{100}=0.04[/tex].)

[tex]A=5000 \cdot e^{0.04 \cdot 18}[/tex]

[tex]A=5000 \cdot e^{0.72}[/tex]

[tex]A=5000 \cdot 2.0544332[/tex] (approximated)

[tex]A=10272.16605[/tex] (approximated)

To the nearest cent this is [tex]\$10272.17[/tex].

What is the slope of (-3,-1) (1,-13)

Answers

Answer:

-3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

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

m=(-13-(-1))/(1-(-3))

m=(-13+1)/(1+3)

m=-12/4

m=-3

A new energy drink advertises 106 calories for 8oz. How many calories are in 12oz of the drink?

Answers

The ratio between 12 and 8 is 12/8 so you multiply 106 by that. 106*12/8=159

12oz of the drink contains 159oz of calories.

To Calculate How many calories are in 12oz of the drink

A new energy drink advertises 106 calories for 8oz.

Based on the given conditions, formulate: 12*(106/8)

=12*(13.25)=159

Calories are in 12oz of the drink is 159oz

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The cost of a company picnic varies directly as the number of employees attending the picnic. If a company picnic costs $487.50 for 30 employees, how much does a company picnic cost for 80 employees? ANSWER ASAP PLEASEEE

Answers

The company picnic cost $ 1300 for 80 employees

Solution:

Given that cost of a company picnic varies directly as the number of employees attending the picnic

Let "c" be the company picnic cost

Let "n" be the number of employees attending the picnic

Therefore,

[tex]cost \propto \text{ number of employees attending picnic }[/tex]

[tex]c \propto n\\\\c = kn[/tex]

Where "k" is the constant of proportionality

c = kn ---------- eqn 1

Given that company picnic costs $487.50 for 30 employees

Therefore substitute c = 487.50 and n = 30

[tex]487.50 = k(30)\\\\k = \frac{487.50}{30} = 16.25[/tex]

How much does a company picnic cost for 80 employees?

Substitute n = 80 and k = 16.25 in eqn 1

[tex]c = 16.25(80) = 1300[/tex]

Thus $ 1300 is the cost for 80 employees

Answer:

$1,300.00

Step-by-step explanation:

A coin toss is based on what type of probability?

Answers

Answer:

50/50 chance

Step-by-step explanation:

Answer: Classical Probability (also know as priori or theoretical probability)

Step-by-step explanation:

Which pairs of triangles are similar? Check all that
apply.
AABC - ADEF
ADEF - AGHI
Ο ΔGHI - ΔABC
O AGHI - AJKL
AJKL - AABC

Answers

Answer:

JKL and ABC

DEF and GHI

Step-by-step explanation:

we know that

If two triangles are similar, then the ratio of its corresponding angles is proportional and its corresponding angles are congruent

so

In this problem

1) triangles JKL and ABC are similar

because

[tex]\frac{KL}{BC} =\frac{JL}{AC}[/tex]

substitute the given values

[tex]\frac{10}{20} =\frac{7}{14}[/tex]

Simplify

[tex]\frac{1}{2} =\frac{1}{2}[/tex]  ---> is true

therefore

The ratio of the corresponding sides is proportional

That means----> The triangles are similar

2) triangles DEF and GHI are similar

because

[tex]\frac{HI}{EF} =\frac{GI}{DF}[/tex]

substitute the given values

[tex]\frac{15}{10} =\frac{12}{8}[/tex]

Simplify

[tex]1.5=1.5[/tex]  ---> is true

therefore

The ratio of the corresponding sides is proportional

That means----> The triangles are similar

The pairs of triangles that are similar to each other are:

B. ΔDEF ~ ΔGHI

E. ΔJKL ~ ΔABC

Similar Triangles

Corresponding angles of two triangles that are similar are always congruent, however, their corresponding sides are proportional to each other. This means, their ratio is equal.

Thus, triangles KJL and ABC are similar triangles because:

BC/KL = AC/JL = 2

Also, triangles DEF and GHI are similar triangles because:

GI/DF = HI/EF = 1.5

Therefore, the pairs of triangles that are similar to each other are:

B. ΔDEF ~ ΔGHI

E. ΔJKL ~ ΔABC

Learn more about similar triangles on:

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PLEASE HELP!!! 15 POINTS AND WILL GIVE BRAINLIEST!!!

Two functions are represented in different formats.

Function 1:

x y
−2 ​ −1 ​
0 ​1
2 ​3
5 ​6
Function 2:

Graph of a line passing through the origin and the point begin ordered pair 1 comma 3 end ordered pair.

Which statements are true?

Select each correct answer.


Function 1 has a greater rate of change than function 2.

Function 2 has a greater rate of change than function 1.

Function 1 has a greater y-intercept than function 2.

Function 2 has a greater y-intercept than function 1.


Answers

Function 1 has a greater y-intercept than function 2

Step-by-step explanation:

Find x in the given figure.

Answers

Answer:

Step-by-step explanation:

7x + 95+2x + x+25 + 90 = 360

10x + 210 = 360

10x = 360 -210

10x = 150

x = 150/10

x = 15

The axis of symmetry for the function f(x) = –2x2 + 4x + 1 is the line x = 1. Where is the vertex of the function located? (0, 1) (1, 3) (1, 7) (2, 1)

Answers

Answer:

Step-by-step explanation:

If the axis of symmetry is located at x = 1, that is the h value of our vertex (h, k).  If we know h, all we have to do to find k is sub the value for h into the quadratic and evaluate.

[tex]f(1)=-2(1)^2+4(1)+1[/tex]

so f(1) = 3.  Your choice is (1, 3)

The solution is (1, 3) where the vertex of the function located.

What is function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have

given that,

The axis of symmetry for the function f(x) = –2x2 + 4x + 1 is the line x = 1.

now, we have to find the vertex of the function.

If the axis of symmetry is located at x = 1, that is the h value of our vertex (h, k).

 If we know h, all we have to do to find k is sub the value for h into the quadratic and evaluate.

now, putting the value of x as 1 ,

so, we get,

f(1) = –2(1)^2 + 4*1+ 1

    =-2 + 4 +1

    =3

so f(1) = 3.  

The solution is (1, 3).

To learn more on function click:

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Tony’s fish weighs five pounds more than three times the weight of Mary’s fish. Let t represent the weight of Tony’s fish, and let m represent the weight of Mary’s fish.

Which expression below best represents the weight of Tony’s fish?

Answers

t = 5 + 3m is the required expression that represents weight of Tony fish

Solution:

Let "t" represent the weight of Tony’s fish, and let "m" represent the weight of Mary’s fish

To find: expression that represents the weight of Tony's fish

According to given information,

Tony’s fish weighs five pounds more than three times the weight of Mary’s fish

Here the word "times" represents multiplication and "more than" represents addition

Weight of Tony fish = 5 + three times the weight of Mary’s fish

Weight of Tony fish = 5 + 3(m)

t = 5 + 3m

Thus the required expression is found out

LeBron has 6 yards of cable.he needs 15 feet of cable to install a stereo.does he have enough cable to install the stereo?explain your answer

Answers

PLEASE MARK BRAINLIEST!

Answer:

Yes!

Step-by-step explanation:

This is because 6 yards equals 18 feet. If there is 15 feet needed to install a stereo, and we have 18 feet of cable, we have MORE THAN ENOUGH cable to install the stereo. So yes, there is enough cable to install the stereo.

I hope this helps!

- sincerelynini

Answer:

Yes.

Step-by-step explanation:

There is 3 feet in every yard. So LeBron has 18ft of cable.

What is the slope of a line that is parallel to the line containing (-11, 5) and (-6, 1)?

Answers

Answer:

(5-1)/-11-(-6) = -4/5

Step-by-step explanation:

since the lines are parallel they have same slope/gradient

Answer:

-4/5

Step-by-step explanation:

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

m=(1-5)/(-6-(-11))

m=-4/(-6+11)

m=-4/5

Linear system word problem

Answers

Answer:

1 year

Step-by-step explanation:

Create two equations to represent each tree. Linear equations are written in the form y = mx + b. "m" is the slope or rate. "b" is the constant or starting value.

In this problem, "m" is the rate of growth in inches per year.

"b" is the starting height.

let "x" be the number of years

let "y" be the height in inches

Tree A: y = 8x + 3

Tree B: y = 9x + 2

Solve the system of equations. Since both are equal to "y", you can equate them to each other and solve for "x". Isolate by doing reverse operations.

8x + 3 = 9x + 2

8x + 3 - 3 = 9x + 2 - 3      Subtract 3 from both sides

8x = 9x - 1

8x - 9x = 9x - 9x - 1     Subract 9x form both sides

-x = -1       Divide both sides by -1 to isolate

x = 1         Number of years for the trees to be the same height

Therefore it will take 1 year for the trees to be the same height.

If you wanted to know how tall the trees will be at the same height, find y. You can substitute x=1 in one of the equations.

y = 8x + 3

y = 8(1) + 3

y = 11     Number of inches when trees are the same height

10. Alex is writing a number in scientific

notation. The number is greater than one

million and less than ten million. Which

number will Alex use as the exponent

of 10?

A 8

B 7

C 6

D 5

Answers

Answer:

C. 6

Step-by-step explanation:

Since the number is greater than one million and less than ten million, the number is seven digit which ranges from two million to nine million

Therefore, Alex will use 6 as the exponent

A circle with area 25pi has a sector with a central angle of 9/10pi radians. What is the area of a sector? Either enter an exact answer in terms of pi or use 3.14 for pi and enter your answer as a decimal rounded to the nearest hundredth.

Answers

Answer:

11.25 pi

Step-by-step explanation:

Pi is 180 degrees, a circle is 360 degrees, 9/10's of 180 is 162, and divide that by the full 360 which is .45. Then, multiply that by 25 and you have 11.25 pi is the area of that sector.

solve for x:3x=5x -8​

Answers

Answer:

4

Step-by-step explanation:

3x = 5x - 8 is your equation. To solve for x, you want to get all the x's on the same side. You first subtract 5x from each side to get -2x = -8, and multiply both by 1- to get 2x = 8, and then divide both sides by 2 to find x = 4.

Answer:

Step-by-step explanation:

3x=5x -8​

3x - 5x = - 8

-2x = -8

x = -8/-2

x = 4

8.25+1/4w=10.75 round to nearest 10​

Answers

The value of w is 10

Solution:

Given equation is:

[tex]8.25 + \frac{1}{4}w = 10.75[/tex]

We have to solve above given equation for "w"

[tex]8.25 + \frac{1}{4}w = 10.75[/tex]

We know that 1 divided by 4 gives 0.25

8.25 + 0.25w = 10.75

Moving 8.25 from L.H.S to R.H.S

0.25w = 10.75 - 8.25

0.25w = 2.5

[tex]w = \frac{2.5}{0.25}[/tex]

w = 10

Thus value of w is 10

What is the sum or difference 2/3(7w+4) - 1/3(2w-1)

Answers

Answer:

4w+3

Step-by-step explanation:

2/3(7w+4)-1/3(2w-1)

14/3w+8/3-2/3w+1/3

14/3w-2/3w+8/3+1/3

12/3w+9/3

4w+3

what is 2940 divided by 8

Answers

367.5, there are 367.5 8's in 2,940.

Hope this helps, if not, comment below please!!!!

Answer:

365.7

Step by step solving:

if the sales tax rate is 7.25% in california, then how much would u pay in los angeles for a coat that cost $120.00

Answers

Answer:

The amount to be pay for coat is $128.70.

Step-by-step explanation:

Given:

The sales tax rate is 7.25% in California.

The cost for a coat in Los angeles is $120.00.

Now, to find amount to be paid.

Sales tax = 7.25%.

Cost = $120.00.

So, amount to be paid = $120 + 7.25% of $120.00.

[tex]=120+\frac{7.25}{100} \times 120.[/tex]

[tex]=120+\frac{870}{100}.[/tex]

[tex]=120+8.70[/tex]

[tex]=\$128.70[/tex]

Therefore, the amount to be pay for coat is $128.70.

The ratio of two complementary angles is 7:2. What is the measure, in degrees, of the larger angle?

Answers

Answer:

The larger angle is 70°

And The smaller angle is 20°  .

Step-by-step explanation:

Given as :

The ratio of two complementary angles = 7 : 2

Let The larger angle = 7 x

And The smaller angle = 2 x

Now, According to question

Complementary angle is define as when two angles were added to make right angle i.e 90° are complementary to each other .

So, here

7 x + 2 x =  90°

Or, 9 x =  90°

∴  x = [tex]\dfrac{90^{\circ}}{9}[/tex]

i.e x = 10°

Now, putting the value of x

So, The larger angle = 7 × 10° = 70°

And The smaller angle = 2 × 10° = 20°

Hence, The larger angle is 70°

And The smaller angle is 20°  . Answer

Final answer:

The larger angle in a pair of complementary angles with a ratio of 7:2 measures 70 degrees, found by figuring the common ratio as 10 and multiplying it by 7.

Explanation:

To find the measure of the larger angle when two angles are complementary and their ratio is 7:2, we first need to understand that complementary angles add up to 90 degrees. If the ratio of the angles is 7 to 2, we can express this as 7x and 2x for some number x. By adding these two expressions, 7x + 2x, we get the total amount of degrees in complementary angles, which is 90 degrees. Therefore, we have the equation 9x = 90, which we can solve for x by dividing both sides by 9 to get x = 10.

The larger angle, which is 7 parts of the ratio, will be 7x which is 7 times 10, so it is 70 degrees.

I need help getting the answer to 1484 divided by 28

Answers

Answer:

53

Step-by-step explanation:

first term 2 common difference 13

Answers

Answer:

With the first term is 2 and common difference is 13 then the series is 2,15,28,...

Step-by-step explanation:

Given first term is 2 and common difference is 13.

Arithmetic progression:

[tex]a_{1}=2[/tex] and d=2  [given]

Therefore we can find arithmetic series  [tex]a_{1},a_{2},a_{3},...[/tex] with [tex]a_{1}=2[/tex] and d=2

d can be written as  [tex]d=a_{2}-a_{1}[/tex]. Therefore we can write [tex]a_{2}[/tex] as below:

[tex]a_{2}=a_{1}+d[/tex]

Now substitute the values [tex]a_{1}=2[/tex] and d=2

[tex]a_{2}=2+13[/tex]

[tex]a_{2}=15[/tex]

Similarly we can find [tex]a_{3}[/tex]

d can be written as  [tex]d=a_{3}-a_{2}[/tex]. Therefore we can write [tex]a_{3}[/tex] as below:

[tex]a_{3}=a_{2}+d[/tex]

[tex]a_{3}=15+13[/tex]

[tex]a_{3}=28[/tex]

and so on.

Therefore the series is 2,15,28,...

Find the midpoint of the line segment (-5,-8), (-7,3)

Answers

this is the answer to your question

Answer:

Step-by-step explanation:

(-5,-8), (-7,3)

midpoint = (x₁+x₂/2, y₁+y₂/2)

        = ( -5+-7/2 , -8+3/2) = (-5-7/2,-8+3/2)

       = (-12/2, -5/2) = (-6,-5/2)

I will mark brainliest for answering this question.

On a trip to visit relatives you drive 1,115.625 miles over the course of 21
hours and 15 minutes. What was the unit rate of the speed of your vehicle in miles
per hour? Round to the nearest tenth of a mile.

Answers

The unit rate of speed is 52.5 miles per hour

Solution:

Given that On a trip to visit relatives you drive 1,115.625 miles over the course of 21  hours and 15 minutes

We know that, 1 hour = 60 minutes

21  hours and 15 minutes = 21 hours + (15/60) hours = 21 + 0.25 = 21.25 hours

So they drive 1115.625 miles in 21.25 hours

To find the unit rate of speed of your vehicle in miles per hour, divide the total miles by time taken

unit rate of speed means miles driven in 1 hour

[tex]\rightarrow \frac{1115.625}{21.25} = 52.5[/tex]

So the unit rate of speed is 52.5 miles per hour

Other Questions
The quotient property of radicals requires the indices of the radicals to be the same.Does this mean that it is not possible to writethe ((4th root of y^3)/(square root of y)) as a single radical? Explain. Im gonna buy a shirt on sale that was 20% less than its original price. The original price was five dollars more than the sale price what was the original price? A flat, wide, white, fibrous sheet of connective tissue that attaches a flat muscle to a bone or to deep muscles is known as a/an ____. When a firm has _____ its long-run average total costs decrease with increased output In the diagram below, which pair of angles is complementary? Derrick was very excited about college as a freshman. His biggest concern was fitting in. During his first semester, he was introduced to the social game of "beer pong" and found that being a member of the dorm team helped his gain acceptance. Now Derrick enjoys "beer pong" every weekend. So far, there have been no negative consequences. How would you classify this behavior or the basis of what you know? how does an agile team maintain requirement? During an interview, Sherlock Holmes confesses that his detective skills were based largely on principles of deduction, algorithms, and rules of logic. In other words, Holmes relies primarily on ________ to solve his cases. The legal liability of a common carrier for damage to or loss of goods in its custody (A) is somewhat less than that of a bailee. (B) is slight, as a result of state and federal regulations. (C) cannot be limited through the use of a bill of lading. (D) is quite strict, with the carrier being liable for all losses except those caused by certain specified perils. If a test is _____, it is given to a large representative sample of people under uniform conditions for the purpose of establishing norms. It is also administered, scored, and interpreted in the same way no matter where the subject takes the test. The regulation of commerce among the several states by the us congress is an example of:________. Jordan can swim 2 laps in minutes.Select the correct unit rates for the given situation. Use the table to determine the mass number of element A. what is the order from least to greatest for these numbers-6.3, 4.2, 7.7, -3.9, 3.4 In 1906 Harden and Young, in a series of classic studies on the fermentation of glucose to ethanol and CO2 by extracts of brewer's yeast, made the following observations.(A) Inorganic phosphate was essential to fermentation; when the supply of phosphate was exhausted, fermentation ceased before all the glucose was used.(B) During fermentation under these conditions, ethanol, CO2, and a sugar phosphate accumulated.(C) When arsenate was substituted for phosphate, no sugar phosphate acumulated, but the fermentation proceeded until all the glucose was converted to ethanol and CO2.Answer the following questions.1. Which enzyme of glycolysis requires inorganic phosphate and therefore stops when no phosphate is available?(a) glyceraldehyde 3-phosphate dehydrogenase(b) phosphoglycerate mutase(c) phosphofructokinase-1(d) phosphoglycerate kinase In what year did China introduce it's one-child policy? how do lines 6-7 contribute to the development of a theme in the poem Indifference curves close to the origin are ________ those farther from the origin because of ________. I need an answer ASAP please! Which of the following is NOT a true statement about Puritans in America? A.) They believed that the right to dissent was an important part of any governmental system.B.) They created a very tight-knit community.C.) They believed that everyone should be held to the same strict code of moral and social behavior.D.) They created a very literate population The Correlated trait exercise shows that :A) when two characters are correlated, selection always favors larger values of both or smaller values of bothB) When two characters are correlated, one of them can evolve toward higher values even if smaller values are better for survival C) when two characters are correlated, selection is always strong on both or weak on both D) when two characters are correlated, the optimal values and selection strengths rise and fall together Steam Workshop Downloader