Give the equation of the resulting function.
The function f(x)= 3^x is reflected across the y-axis

Give The Equation Of The Resulting Function.The Function F(x)= 3^x Is Reflected Across The Y-axis

Answers

Answer 1

The function which results from the reflection of the given function; f(x) = 3^x is; f(x) = 3^(-x).

What is the equation of the resulting function?

It follows from the task content that the function given is; f(x) = 3^x.

The function in discuss is reflected across the y-axis, hence, it follows from transformation rules that the resulting function involves multiplying x by -1 as follows;

f(x) = 3^(-1×x)

f(x) = 3^(-x).

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Related Questions

Two more than the quotient of a number and 9 equals 5

Answers

In linear equation ,  the quotient of a number n= 27

What is a formula for linear equations?

A linear equation has the slope-intercept form y = mx + b. Variables in the equation are x and y. When x is 0, the integers m and b provide the line's slope (m) and the value of y. (b). Because (0,y) is the location where the line crosses the y-axis, the value of y when x is 0 is referred to as the y-intercept.

2 + N/9 = 5

N/9 = 5 - 2

N/9 = 3

N = 9*3

N=27

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A bag contains 3 red marbles(R), 5 green marbles(G), 2 black marbles(B), and 1 white marble(W). A marble is drawn from the bag and then replaced 30 times. What is the experimental probability of drawing a red marble?

Answers

Answer:

27% or 0.27

Step-by-step explanation:

Since this is a probability question, you have to add the marbles together and divide by the probability that it's asking for. So...

# of R marbles = 3

# of G marbles = 5

# of B marbles = 2

# of W marbles = 1.

So add it together and you will get 11.

Now, divide the number of marbles/total number of R marbles.

3/11

Which gives you 0.27272727

So your answer is 27% or 0.27

Please this question correctly if you answer right I’ll give u brainlest

Answers

Answer:

Subtraction

Step-by-step explanation: Your subtracting 4 to the equation

subtraction property

Help please thank you

Answers

Answer:

[tex]x=-11[/tex]

Step-by-step explanation:

We know that GE = [tex]x+21[/tex] = [tex]2x+23+9[/tex]

Calculate accordingly!

[tex]x+21=2x+23+9[/tex] ( minus [tex]2x[/tex] and minus 21 )

[tex]x-2x=-21+23+9[/tex]

[tex]-x=11[/tex]

Therefore,

[tex]x=-11[/tex]

( You can test this out by substituting the values )

Hope this helps!

Question
The value of y varies directly as a, and y = 2 when x = 8. Find the equation represents this relationship.

Answers

Answer:  y = 0.25x

Optionally you can replace 0.25 with the fraction 1/4

===================================================

Explanation:

The variable y varies directly with x, which means we have the template of y = kx for some constant k.

Plug in x = 8 and y = 2. Then solve for k

y = kx

2 = k*8

8k = 2

k = 2/8

k = 1/4

k = 0.25

Therefore, we go from y = kx to y = 0.25x

-------------

Check:

Plugging in x = 8 should get us to y = 2

y = 0.25x

y = 0.25*8

y = 2

The answer is confirmed.

why do you multiply 10 by the repeating decimal to make a fraction.​

Answers

Solution :

Repeating or recurring decimals :

Repeating or recurring decimals are those decimal expansions that do not terminate or end after a specific number of digits. Such numbers have an infinite number of digits after the decimal point. And there is a repetitive pattern in those digits.

Decimal numbers can be converted to fractions by dividing the number with a power of 10 which is equal to the number of decimal places. For example, 1.5 = 15/10 = 3/2. But with repeating decimals, it is impossible to count the number of decimal places as it is infinite. So, there are some specific steps to be followed to convert repeating decimals to fractions.

The repeating decimal to fraction steps of conversion are given below:

Step 1: Identify the repeating digits in the given decimal number.

Step 2: Equate the decimal number with x or any other variable.

Step 3: Place the repeating digits to the left of the decimal point by multiplying the equation obtained in step 2 by a power of 10 equal to the number of repeating digits. This way you will get another equation.

Step 4: Subtract the equation obtained in step 2 from the equation obtained in step 3.

Step 5: Simplify to get the answer.

Let us take an example to understand the conversion of repeating decimals to fractions in a better way. Convert 0.77777... to a fraction.

Step 1: We can observe that 7 is repetitive in the given decimal number.

Step 2: Let x = 0.7777...

Step 3: There is only 1 repetitive digit, so multiply this equation by 10. We get, 10x = 7.7777...

Step 4: Subtract x = 0.7777... from 10x = 7.7777... We will get 9x = 7.

Step 5: x = 7/9. Therefore, 0.7777... = 7/9.

Hence,

you multiply 10 by the repeating decimal to make a fraction

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Please help me solve this question. The correct answer will be marked as brainliest

Answers

Answer:

No

Step-by-step explanation:

The largest number would have 6 counters in the 10s and the remainder the in the 1s column making the number 63 which is greater than 51.111

P is the point (2, 3) and Q is the point (9, 5).
(a) Find the equation of the line joining PQ.
(b) Find the coordinates of the point where the line PQ intersects the x-axis.
(c) The line y = 5 is the line of symmetry of △PQR. Find the coordinates of R.
(d) Calculate the area of △PQR.
(e) Calculate the length of PQ and hence calculate the perpendicular distance from R to the line PQ.

Answers

We get that the equation of the line PQ will be 2 x - 7 y + 17 = 0.

A) We know that the equation of the line is:

y - y₁ = m (x - x₁)

where m = y₂ - y₁ / x₂ - x₁

Now, we have:

P = ( x₁, y₁) = (2, 3)

Q = (x₂, y₂) = (9, 5)

We get m by substituting the values as:

m = 5 - 3 / 9 - 2 = 2 / 7

The equation then will be:

y - y₁ = 2 / 7 (x - x₁)

Substituting the values, we get that:

y - 3 = 2/7 ( x - 2)

7 y - 21 = 2 x - 4

2 x - 7 y - 4 + 21 = 0

2 x - 7 y + 17 = 0

B) When PQ will intersect x-axis, then the point will be = ( x, 0)

2 x - 7 y + 17 = 0

2 x - 7 (0) + 17 = 0

2 x = -17

x = - 17 / 2

Point = (-17 / 2 , 0)

Therefore, we get that the equation of the line PQ will be 2 x - 7 y + 17 = 0.

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Can someone solve just the c problem

Answers

Applying the distributive property, the solution of x for item c is given as follows:

x = (3a - 8 - b)/(a - b).

What is the distributive property?

The distributive property is when the outside term multiplies each of the inside terms of an expression.

For example, in this problem:

a(x - 3) = ax - 3a.b(x - 1) = bx - b.

Hence the solution for x of the expression is found as follows:

a(x - 3) + 8 = b(x - 1).

ax - 3a + 8 = bx - b

ax - bx = 3a - 8 - b

x(a - b) = 3a - 8 - b

x = (3a - 8 - b)/(a - b).

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40 divided by 20? I’m really confused I did the math and got 21 but the calculator say 2.

Answers

2. Multiply 20 by 2 get 40 & half of 40 is 20

The calculated division of the numbers 40 divided by 20 is 2

How to calculate the division of the numbers

From the question, we have the following parameters that can be used in our computation:

40 divided by 20

When represented as an equation, we have

40 divided by 20 = 40/20

Divide 40 by 20

So, we have the following result

40 divided by 20 = 2

Using the above as a guide, we have the following:

the result is 2

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The probability that a live birth requires a cesarean delivery in a certain American state is 0.248. If 8 live births occur independently in this state, compute the probability that at least one of the births requires a cesarean delivery.
i need help on this question

Answers

The probability that at least one of the births requires a cesarean delivery is 0.897.

To calculate prob(x >= 1):

prob(x>=1) = 1 - prob(x = 0)

                  = 1 - (1-0.248)^8

                  = 0.897

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Put the following equation of a line into slope-intercept form, simplifying all fractions. 6x-5y=-5

Answers

Answer: y = 6/5 x + 1

The slope intercept form of a linear equation is:

y = mx + b

where m is the slope and b is the y-intercept value.

According to the question we need the solve this equation for y:

6x – 5y = -5

This can be written as:

-6x + 5y = 5

-6x + 6x + 5y = +6x + 5

0 + 5y = 6x + 5

5y = 6x + 5

5y / 5  = (6x + 5) / 5

y = 6/5 x + 1

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The steel is more dense than lake water

Answers

Answer:

true

Step-by-step explanation:

That is a true statement.

The density of steel is approx. 7.85 g/cm³.

The density of water is approximately 1 g/cm³.

4.25-1.25x=0 what is x someone help please

Answers

Answer:

3.4

Explanation and Check part below

Hope this helps :)

Step-by-step explanation:

Steps

1. Isolate the variable subtract 4.25 since it's positive.

4.25 - 1.25x = 0

- 4.25 - 4.25

- 1.25x = - 4.25

2. Divide by - 1.25 in both sides of equation.

- 1.25x = - 4.25

--------- ---------- <------- fraction bar/ divide

-1.25 -1.25

x = 3.4

Check:

4.25 - 1.25 (3.4) = 0

4.25 - 4.25 = 0

0 = 0

True statement.

StartFraction (9.6 times 10 Superscript negative 8 Baseline) Over (3.2 times 10 Superscript 4 Baseline) EndFraction

Answers

The correct options applied for the question are-

B.The solution's exponent is -12.

C.The solution's coefficient ≥ 1 but < than 10.

D 3.0×10⁻¹² is the quotient.

What is described as the exponent?A symbol compiled above and on the right of a mathematical equation to represent the operation of increasing to a power.In scientific notation, we are calculating the quotient of the expression below.

As, per the given question,

The equation stated can be written as;

= (9.6×10⁻⁸)/(3.2×10⁴)

Use the power rule of exponents;

= (9.6×10⁻⁸×10⁻⁴)/(3.2)

Add both the power of base 10 with sign as the same base is there.

= ((9.6×10⁻⁸⁻⁴)/(3.2)

= (9.6×10⁻¹²)/(3.2)

Divide the numerator by 3.2

= 3.0×10⁻¹²

The following conclusions are possible:

B.The solution's power of ten is -12, which is the difference of the original exponential function.

C.The coefficient is 3, which is greater than one but less than ten.

D. 3.0×10⁻¹² is the quotient.

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The complete question is-

What conclusions can be drawn about finding the quotient in scientific notation? Check all that apply. Start Fraction (9.6 times 10 Superscript negative 8 Baseline) Over (3.2 times 10 Superscript 4 Baseline) End Fraction

A.The coefficient of the solution is 6.4, the difference of the original coefficients.

B.The exponent of the solution is –12, the difference of the original exponents.

C.The coefficient of the solution must be greater than or equal to one but less than 10.

D.The quotient is 3.0 × 10-12

E.The solution is a very large number.

Answer: ur mom

Step-by-step explanation:

Find the perimeter of the rectangle. Then, find the area of the rectangle. Round your
answer to the nearest tenth, if necessary.
(Lesson 2-3)

Answers

Solution :

solve by considering data :

The perimeter of a rectangular pool is 56 meters. If the length of the pool is 16 meters, then find its width.

Here the perimeter and the length of the rectangular pool are given. We have to find the width of the pool.

The perimeter P of a rectangle is given by the formula, P=2l+2w, where l is the length and w is the width of the rectangle.

Given that, the perimeter is 56 meters and the length is 16 meters. So, substitute these values into the formula.

56=2(16)+2w

Simplify.

56=32+2w

Subtract 32 from both sides.

24=2w

Divide each side by 2 .

12=w

Therefore, the width of the rectangular pool is 12 meters.

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Perform the indicated operation & simplify. Express the answer as a complex number. ( 12 − 11 i ) 2

Answers

The answer is 24 - 22i

The answer we got is a complex number.

We are asked to find out the multiplication of a complex number and a real number.

The general form of a complex number is a + bi.

If we need to find the product of a complex number and a real number,

then, we need to multiply the real and imaginary parts by the real number and write down the answer.

The real number given is 2.

And the complex number given is 12 - 11i.

The real part of the complex number is 12.

And the imaginary part of the complex number is -11.

When the real part of the complex number is multiplied by the real number, we get 12 × 2 = 24.

When the imaginary part of the complex number is multiplied by the real number, we get (-11) × 2 = -22

Therefore, the required complex number is 24 - 22i

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Toby needs to save a minimum of $250. If Toby can save $57 a month, how many months will it take for him to save enough? Select the inequality that represents this situation

Answers

Answer:

[tex]250 \leqslant 57m[/tex]

[tex]57m \: \geqslant 250[/tex]

Step-by-step explanation:

Minimum is a word meaning greater than or equal to.

Hope this helps!

If you have anyother question feel free to ask!

A dressmaker needs to cut 18-inch pieces of ribbon from rolls of ribbon that are 6 feet in length. How many 18-inch pieces can the dressmaker cut from 5 of these rolls of ribbon?
Before you try that problem, answer the question below.
How many inches of ribbon does the dressmaker have, in total?
(on delta math)

Answers

Answer: 20 pieces, 72 inches of ribbon

Step-by-step explanation: 6/1.5=4 4x5=20 6x12= 72 inches

kofi use 15min to type 500papers. How many minutes will he take 900papers​

Answers

So divided 500 papers by 15 mins equals 33 seconds per paper. So 900 papers divided by 33 seconds is 27 minutes in total to write 900 paper.

Answer:

27 minutes

Step-by-step explanation:

Hello!

500 and 900 are both multiples of 100, so let's first find the rate at which it takes Kofi to type 100 pages.

15m = 50015m / 5 = 500/53m = 100

It takes 3 minutes to type 100 papers.

Since 900 is 9 times 100, we can also multiply the time by 9.

3m = 1003m*9 = 100*927m = 900

It takes 27 minutes to type 900 papers.

pleaseee help! Will mark brainliest!!! And 100 points!! Sorry for so many questions but please I need answers!
A. What is 0.54 rounded to the nearest tenth?
B. What is 2.65 rounded to the nearest tenth?
C. What is 28.17 rounded to the nearest tenth?
D. What is 3.09 rounded to the nearest tenth?
E. What is 2.41 rounded to the nearest tenth?
F. What is 9.86 rounded to the nearest tenth?
G. What is 15.234 rounded to the nearest tenth?
H. What is 1.37 rounded to the nearest tenth?
I. What is 0.76 rounded to the nearest tenth?
J. What is 39.18 rounded to the nearest tenth?
K. What is 2.48 rounded to the nearest tenth?
L. What is 0.84 rounded to the nearest tenth?
__________________________________________________________________
M. What is 4.112 rounded to the nearest whole number?
N. What is 3.89 rounded to the nearest whole number?
O. What is 23.14 rounded to the nearest whole number?
P. What is 7.6 rounded to the nearest whole number?
Q. What is 3.67 rounded to the nearest whole number?
R. What 53.2 rounded to the nearest whole number?
S. What is 3.08 rounded to the nearest whole number?
T. What is 27.51 rounded to the nearest whole number?
U. What is 11.08 rounded to the nearest whole number?
V. What is 17.28 rounded to the nearest whole number?
W. What is 92.6 rounded to the nearest whole number?
X. What is 24.8 rounded to the nearest whole number?
Y. What is 7.9 rounded to the nearest whole number?
Z. What is 3.06 rounded to the nearest whole number?

Answers

Answer:

A: 0.50

B: 2.70

C: 28.20

D: 3.10

E: 2.40

F: 9.90

G: 15.200

H:  1.40

I: 0.80

J: 39.20

K: 2.50

L: 0.80


Here are the first ones

M: 4

N: 4

O: 23

P: 8

Q: 4

R: 53

S: 3

T: 28

U: 11

V: 17

W: 92

X: 25

Y: 8

Z: 3

These are the last ones

Hope you found these helpful! <3

Using the parent function, f(x)

, graph the new function after the transformations listed below:


a) Reflect the graph about the x-axis.

b)Vertical compress by a factor of 13 .

c) Vertical shift up 2.

d) Horizontal shift right 3.

Answers

The graphs of the transformed functions are below, the colors are:

a) g(x) = -x^2 → green.

b) g(x) = x^2/13 → blue

c) g(x) = x^2 + 2 → orange

d) g(x) = (x - 3)^2 → purple.

How to graph the transformed functions?

Here we have the quadratic parent function:

f(x) = x^2

And we want to apply some transformations, and then graph them.

The transformations are:

a) "Reflect the graph about the x-axis."

This is written as:

g(x) = -f(x)

Replacing f(x) by the actual function:

g(x) = -x^2

b) "Vertical compress by a factor of 13"

This is written as:

g(x) = f(x)/13 = x^2/13

c) "Vertical shift up 2."

This is written as:

g(x) = f(x) +2 = x^2 + 2

d)  "Horizontal shift right 3."

This is written as:

g(x) = f(x - 3) = (x - 3)^2

The graphs are below, the colors are:

a) g(x) = -x^2 → green.

b) g(x) = x^2/13 → blue

c) g(x) = x^2 + 2 → orange

d) g(x) = (x - 3)^2 → purple.

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Joe ran 400 meters in 1.5 minutes and 800 meters in 3 minutes. Is there a proportional relationship between number of meters Joe ran the number of minutes he ran?

Answers

Proportional Relationships

The relationship between two variables are proportional if their ratios are equivalent (taken from Khan Academy).

To determine whether or not a relationship is proportional, we can see if two given ratios are the same.

Solving the Question

We're given:

Joe ran 400 meters in 1.5 minutes Joe ran 800 meters in 3 minutes

These pieces of information are ratios. We can write them in the following format:

[tex]\dfrac{400\hspace{4}meters}{1.5\hspace{4}minutes}[/tex] and [tex]\dfrac{800\hspace{4}meters}{3\hspace{4}minutes}[/tex]

We can see if they're equivalent by finding a common denominator.

Multiply the first ratio by [tex]\dfrac{2}2[/tex]:

[tex]\dfrac{400\hspace{4}meters}{1.5\hspace{4}minutes}*\dfrac{2}{2}\\\\= \dfrac{800\hspace{4}meters}{3\hspace{4}minutes}[/tex]

The ratios are equivalent. Therefore, the relationship between the number of meters Joe ran and the number of minutes he ran is proportional.

Answer

Yes, there is a proportional relationship.

Which of the following characteristics is not associated a general journal

Answers

The characteristics which is not associated a general journal is that transactions are ordered from greatest to smallest.

Given that four options which are as under:

1) Transactions are ordered from greatest to smallest,

2) It is used daily to record transactions,

3) Events are listed in chronological order,

4) The amount credited equals the amount debited.

We are required to choose the correct option which is not a characteristics of general journal.

A general journal is basically an initial record-keeping that records all the transactions except those recorded in a specialty journal like a cash journal, purchase journal, etc.

The option which is correct is option a which tells that transactions are ordered from greatest to smallest.

Hence the characteristics which is not associated a general journal is that transactions are ordered from greatest to smallest.

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Question is incomplete. It should include the following options:

1) Transactions are ordered from greatest to smallest,

2) It is used daily to record transactions,

3) Events are listed in chronological order,

4) The amount credited equals the amount debited.

The length of a rectangle is 1 in. less than 3 times the width. If the perimeter of the rectangle is 46 in., find the length and the width.

Answers

[tex] \Large {\mathbb {SOLUTION: }}[/tex]

[tex] \: \: \text{L = 3w - 1}[/tex]

[tex] \: \: \text{P=46}[/tex]

[tex] \: \: \text{2(3w-1) + 2w = 46}[/tex]

[tex] \: \: \text{6w - 2 + 2w = 46}[/tex]

[tex] \: \: \text{8w = 48}[/tex]

[tex] \: \: \text {W = 6 }[/tex]

[tex] \: \: \text{L = 17}[/tex]

[tex] \: \: \text{Applying the inequalities:}[/tex]

[tex] \: \: \text{L>=17 and w=6}[/tex]

[tex] \: \: \text{The perimeter is at least 46.}[/tex]

6()=69 what’s the awnser

Answers

Answer:

11.5

Explanation and Check part below

Hope this helps :)

Step-by-step explanation:

x stands for an unknown value, so we will put the x next to the 6 to solve the equation.

6x = 69

--- ---- <------ fraction bar/divide

6 6

x = 11.5

Check:

6 (11.5) = 69

69 = 69

True statement.

Trying to find the inverse of a the function:


s(t) = - 85 - 7t

--------

10

Answers

The inverse function of the function is s'1(t) = 1/7(10t + 85)

What are inverse functions?

Inverse functions are the opposite of an original equation.

This means that for a function f(x), the inverse of the function f(x) is f-(x); it also represents the opposite function

How to determine the inverse functions?

The function f(x) is given as

s(t) = -(85 - 7t)/10

As a general rule, we start by writing s(t) as a variable (say s(t) = s).

So, the equation of the function becomes

s = -(85 - 7t)/10

The next step is to switch/swap the positions of s and t in the above equation s = -(85 - 7t)/10

The equation becomes

t = -(85 - 7s)/10

The next step is to make s the subject of the formula in the above equation t = -(85 - 7s)/10

The equation becomes

10t = -(85 - 7s)

Open the bracket

10t = -85 + 7s

So, we have

7s = 10t + 85

Divide by 7

s = 1/7(10t + 85)

Express as an inverse function

s'1(t) = 1/7(10t + 85)

Hence, the inverse function of the function is s'1(t) = 1/7(10t + 85)

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Purchase a home for $160,000 , have a down payment of 25% the bank charges two points at closing, how much are they paying in points

Answers

Your customers are investing $160,000 in a house. How much points are they paying in total if they put down a 25% down payment and the bank charges two points at closing? The loan amount after their 25% down payment ($160,000 x.75 = $120,000).

A down payment is a quantity of money that a buyer pays at the beginning of a pricey good or service purchase. A portion of the entire purchase price is covered by the down payment, and the buyer frequently takes out a loan to cover the balance.

This sum is typically expressed as a percentage of the overall cost of buying the house. A typical down payment is 20%, for instance, which means the buyer will pay 20% of the total purchase price up front. During the closing procedure, this sum is typically paid in the form of a cashier's check.

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On a number line, the coordinates of X, Y, Z, and W are -8, -4, 3, and 9, respectively.

Find the lengths of thetwo segments below. Then tell wethwr they are congruent.
___ ___
XY and ZW
___
The length of XY is ___
___
The length of ZW is ___​

Answers

The length of XY is 4, the length of ZW is 6 and the lengths are not congruent

How to find the lengths of the two segments?

The coordinates of the points are given as:

X, Y, Z, and W = -8, -4, 3, and 9,

The above means that

XY = |Y - X|

ZW = |W - Z|

So, we have

XY = |-4 + 8| = 4

ZW = |9 - 3| = 6

Hence, the length of XY is 4, the length of ZW is 6 and the lengths are not congruent

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Question 5
Calculate the percentage rounded to a whole number. 140 is what percentage of 206?

Answers

Answer: 68%

To get the percentage, divide the value by the total value and multiply by one hundred.

140 / 206 * 100 = 67.9611650485437 ≈ 68%
Other Questions
You need to write a program that has karel move 6 times and then put a ball. Which control structure do you need to use? what is the maximum initial reaction rate for the enzyme at ph7 Once you have identified a possible diagnosis, you should not stop looking for causes, because? The ordinal scale represents a higher level of measurement than the nominal scale in that? An increase in an equity account (such as common stock) from the beginning of the year to the end of the year will result in a number on the statement of cash flows that is:_________ When an espn anchor talks about the nfl draft on sportscenter rather than cricket, they are:______ 1. In a study of how college education costs have changed since 1980,each year's average cost of tuition is expressed as a percentage of the1980 cost. Which term refers to the 1980 cost?(a) Reference value(c) Rate of inflation(b) Index number(d) Price index Complete the point-slope equation of the line through (-4,8) (4,8) Use exact numbers.(Point-Slope Equation)any detailed answer for this?? What is 6.4% written as a decimal number? 64.0 6.4 0.64 0.064 The _____ organizes the pixels on the screen to display the requested information and then sends the information out to the screen for the user to see (output). Understand points of view: why did colonists react so strongly against the tea act which imposed a small tax and actually lowered the price of tea? Exercise 2 Circle the participial phrase and draw an arrow to the noun or pronoun it modifies.His oral report, inspired by the World Cup competition, was about a famous soccer player. What is the addition removal and transfer of energy between Earth's spheres and example of? Pls helpppp Consumers will only buy additional units of a good if the price of the good is reduced is an example of ______. do ions add another atom Exercise 1 Underline the verb in each sentence. In the blank, write T if the verb is transitive. Write I if the verb is intransitive. Uncle Roscoe met me at the bus station. 3. What is the cardinality number of the set {2, 4, 6, 8, 10, 12}?a. 2b. 6c. 8d. 10 For diarrhea caused by bacterial or viral infections, dietary restrictions (e.g., limiting the diet to include only bananas, rice, applesauce, and toast) are usually ______ for recovery. Te nurse is assessing a pregnant client at 20 weeks' gestation and obtains a hemoglobin level. which result would be a cause for concern? The amount of goods and services produced from each unit of labor input is called.