Which of the following functions represent exponential growth?
Which of the following functions represent exponential decay?

Which Of The Following Functions Represent Exponential Growth? Which Of The Following Functions Represent

Answers

Answer 1

9514 1404 393

Answer:

  1. a, b, c - represent growth

  2. b, c, d - represent decay

Step-by-step explanation:

If increasing x results in a larger value, the function represents growth. If it results in a smaller value, the function represents decay.

__

To answer these questions, you can look at the base and the exponent. When we say "exponent" here, we mean the coefficient of the exponent variable. There are four possibilities:

  growth:

exponent positive, base > 1exponent negative, base < 1

  decay:

exponent positive, base < 1exponent negative, base > 1

__

Growth questions:

  1.77^x -- growth

  1.5^(x/2) -- growth

  0.5^(-x) -- growth (= 2^x)

  e^(-t) -- decay (e ≈ 2.718)

Decay questions:

  1.7^x -- growth

  1.7^(-2x) -- decay

  (1/3)^x -- decay (= 3^(-x))

  2^(-x) -- decay


Related Questions

Are the triangle similar

Are the triangle similar

Answers

Answer:AAS

Step-by-step explanation:

4x/5 = 2x+4/3 Please hurry I’m in a rush

Answers

Answer:

x=10

Step-by-step explanation:

Answer:

x = - 5/3

Step-by-step explanation:

Calculate the product

4x/5 = 2x + 4/2

Reduce the faction with 2

4x/5 = 2x + 2

Multiply both sides of the equation by 5

4x = 10x + 10

Move variable to the left-hand side and change its sign

4x - 10x = 10

Collect like terms

-6x = 10

Divide both sides of the equation by -6

x = - 5/3

Solution

x = -5/3

Alternate form

x = -1 2/3, x = -1.6

15
0 23.7
O 25.9
0 27.5
0 29.5

150 23.7O 25.90 27.50 29.5

Answers

Answer:

Bro just look up trig triangle calculator

Step-by-step explanation

Answer:

27.5

Step-by-step explanation:

sin(33) = 15/x

x=15/sin(33)

What is the slope of the line that passes through the points (-4, -1) and (-2, -5)

Answers

Slope: (y2-y1)/(x2-x1)
(-5-(-1))/(-2-(-4)) = -4/2 = -2
The slope is -2

Jessica jogs 29 kilometers in 2.5 hours. What is her speed?

Answers

Answer:

I would want to say 11.6

Step-by-step explanation:

I divide 29 by 2.5= 11.6.

Confusing
Kerrin is making an input-output table for the rule "add 5." What is the output value for an input value of 5?

Options:
A: 0
B :5
C: 10
D: 25

Answers

The calculated output value for an input value of 5 is (c) 10

What is the output value for an input value of 5?

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

Kerrin is making an input-output table for the rule "add 5."

This means that

Output = input + 5

In this case, we have

input = 5

substitute the known values in the above equation, so, we have the following representation

Output = 5 + 5

Evaluate

Output =10

Hence, the output is 10

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List the elements of each of the following sample spaces: (a) the set of integers between 1 and 50 divisible by 8. (b) the set S = (x1x2 + 4x - 5 -0. (c) the set of outcomes when a coin is tossed until a tail or three heads appear. (d) the set S = {x|2x - 4 20 and x < 1)

Answers

a)The set of integers between 1 and 50, divisible by 8 are given as.

S={ 8,16,24,32,40,48}

b ) Hence, the set {-5,1}

c) The list of set of outcomes when a coin is tossed until a tail or three heads appear will be.

S={T,HT,HHT,HHH}

d) S={Europe, Asia, Australia, North America, South America, Africa, Antarctica.}

a) We have to find a list of integers between 1 and 50, divisible by 8.

Keep in mind that the S is the event that represents the sample space. The set of integers between 1 and 50, divisible by 8 are given as.

S={ 8,16,24,32,40,48}

b)  We need to list the set S= {\(x| x^2+4x-5=0}\)}

\(x^2+4x-5=0\\\\x^2+5x-x-5=0\\x(x+5)-(x+5)==\\(x+5)(x-1)=0\\\\x=-5 , x=1\)

Hence, the set {-5,1}

c) c) We have to find a list of the set of outcomes when a coin is tossed until a tail or three heads appear.

Let T denote the event that tail appeared.

Let H denote the event that head appeared.

The list of set of outcomes when a coin is tossed until a tail or three heads appear will be.

S={T,HT,HHT,HHH}

d) We need to list the set

S={x ∣ x is a continent}.

There are 7 continents:

S={Europe, Asia, Australia, North America, South America, Africa, Antarctica.}

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Can someone help me please?

Can someone help me please?

Answers

the abswer of this question is c

The correct answer to this question is C

Can someone help please will give brainliyist

Can someone help please will give brainliyist

Answers

Answer:

slope is 3/4 or .75

Step-by-step explanation:

Equation of line is

y= .75 + 1.5

hope this helps :)

Which of the following shows that the two composite figures cover the same area?
For both figures, A=12+4+2+2+2=22 units²
For both figures, A=6+4+2+2+1=15 unit.²
For both figures, A=6+4+3+2+1=16 units.²
For both figures, A=6+4+3+3+2=18 units²

Answers

the Answer: A

Step-by-step explanation:

Please help me with this I need the help

Please help me with this I need the help

Answers

The answer is C. (2,5) X is 2 and Y is 5

To indirectly measure the distance across a lake, Bilquis makes use of a couple
landmarks at points R and S. She measures QU, US, and TU as marked. Find the
distance across the lake (RS), rounding your answer to the nearest hundredth of a
meter.

To indirectly measure the distance across a lake, Bilquis makes use of a couplelandmarks at points R

Answers

The measure of distance RS, if The sides QU = 140 m, US = 115 m, TU = 104.55 m, rounding to the nearest hundredth of a meter, is 200 m.

What is the triangle?

Triangles are basic three-sided polygons with three internal angles. It is one of the basic geometric shapes, symbolized by the symbol, and has three vertex connections.

Given:

The sides QU = 140 m, US = 115 m, TU = 104.55 m

As you can see, the triangle QRS and triangle QTU are similar, thus the ratio of their sides will be equal,

QU / QS = TU / RS

140 / 140 + 115 = 104.55 / RS

140 / 255 = 104.55 \ RS

RS = 104.55 × 255 / 140

RS = 190.43 or 200 m

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Answer: 190.43m

Step-by-step explanation:

In Photo

To indirectly measure the distance across a lake, Bilquis makes use of a couplelandmarks at points R

Darnel took a total of 8 quizzes over the course of 2 weeks. After attending 4 weeks of school this quarter, how many quizzes will Darnel have taken in total? Assume the relationship is directly proportional.

Answers

Answer:

16 quizzes

Step-by-step explanation:

8 quizzes = 2 weeks

2 x 2 = 4, therefore we would do 8 x 2 to get the total number of quizzes after 4 weeks, giving us 16.

Answer:

16

Step-by-step explanation:

If Darnel took a total of 8 quizzes over the past 2 weeks. We can assume that he takes 4 quizzes in one week but that doesn't matter. If he attended 4 weeks of school he would have taken 16 quizzes because in 2 week he takes 8 quizzes, so 8+8=16. Each 8 represents 2 weeks.

What is the slope of the line that passes through (3, −7) and (−1, 1)?

Undefined
0
−2
2

Answers

Answer:

The answer is - 2

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

\(m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\\)

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(3, −7) and (−1, 1)

The slope is

\(m = \frac{1 - - 7}{ - 1 - 3} = \frac{1 + 7}{ - 4} = - \frac{8}{4} = - 2 \\ \)

We have the final answer as

- 2

Hope this helps you

Answer:

slope = difference_in_y/difference_in_x

= (-1 - -7)/(3 - 1)

= 6/2

= 3

Step-by-step explanation:

Find the domain of the rational expression: 6-x/4x+20

Answers

The domain of the rational expression (6-x)/(4x+20) is all real numbers except x = -5.

To find the domain of a rational expression, we need to identify any values of x that would result in division by zero. Division by zero is undefined in mathematics
In this case, we need to set the denominator, 4x+20, equal to zero and solve for x:
4x + 20 = 0
Subtract 20 from both sides:
4x = -20
Divide both sides by 4:
x = -5
Therefore, the value x = -5 makes the denominator zero.
Now, we need to consider the values of x for which the denominator is not zero. Since the denominator is a linear expression (a polynomial of degree 1), it is defined for all real numbers except x = -5.
So, the domain of the rational expression (6-x)/(4x+20) is all real numbers except x = -5.

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Please help fast!!!!!!!

Please help fast!!!!!!!

Answers

Answer: 156.38 m

Step-by-step explanation:

Using the arc length formula, the answer is \(2\pi(8^2) \cdot \frac{140}{360} \approx 156.38\)

Consider the inequality x > −1.5.
Determine a value of x makes this inequality true.

Answers

Step-by-step explanation:

all intiger which is greater than-1.5

Choose the inverse of y = x2 – 10x.

Choose the inverse of y = x2 10x.

Answers

Answer:

The inverse is  5±sqrt(x+25)

Step-by-step explanation:

y = x^2 - 10x

To find the inverse, exchange x and y and solve for y

x = y^2 -10y

Complete the square

x+25 = y^2 -10y +25

x+25 = (y-5)^2

Take the square root of each side

±sqrt(x+25) = y-5

Add 5 to each side

5±sqrt(x+25) = y

The inverse is  5±sqrt(x+25)

Answer:

\(y=\pm\sqrt{x+25}+5\)

Step-by-step explanation:

Given function:

\(y=x^2-10x\)

Rearrange to make \(x\) the subject.

First, complete the square by adding 25 to both sides and factoring:

\(y+25=x^2-10x+25\)

\(y+25=(x-5)^2\)

Square root both sides:

\(\pm\sqrt{y+25}=x-5\)

Add 5 to both sides:

\(x=\pm\sqrt{y+25}+5\)

Finally, swap \(x\) and \(y\) (since the inverse of a function is its reflection in the line \(y = x\))

\(y=\pm\sqrt{x+25}+5\)

2. How is the sentence "9 less than x is-1" written as an equati

Answers

X - 9 = -1

(Blank space filler)

Answer:

x - 9 = -1

Step-by-step explanation:

When you see less than you switch the numbers. So, for instance, it says 9 less than x means x-9

A chemist is using 338 milliliters of a solution of acid and water. If 16.3% of the solution is acid, how many milliliters of acid are there?

Answers

It easy it’s B i just took this quiz

A recipe calls for 2 cup of brown sugar for every 6 cups of white sugar. How many cups of brown sugar are required for every 12 cups of white sugar?
(PLEASE HELP!!)

Answers

There are 4 cups of brown sugar are required for every 12 cups of white sugar.

A recipe calls for 2 cups of brown sugar for every 6 cups of white sugar. We can set up a proportion to find the relationship between the two quantities:

2 cups brown sugar / 6 cups white sugar = x cups brown sugar / 12 cups white sugar

To find the number of cups of brown sugar required for 12 cups of white sugar, we can cross-multiply and then solve for x:

2 cups brown sugar × 12 cups white sugar = 6 cups white sugar × x cups brown sugar

24 cups brown sugar = 6x cups brown sugar

x = 24/6

x = 4

So, 4 cups of brown sugar are required for every 12 cups of white sugar.

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An electrician charges a flat fee plus an hourly rate for a service call. She charges a total of $94 for a 3-hour service call on Monday and $130 for a 5-hour service call on Tuesday. How much should she charge for a 2-hour service call?
$36
$52
$76
$98

Answers

Answer:

$76.

Step-by-step explanation:

A customer paid a total of $6.00 for 68 copies at a print shop. Some of the copies were
black-and-white copies, and the rest were color copies.


• Each black-and-white copy cost $0.08.
• Each color copy cost $0.15.


Which system of equations can be used to find b, the number of black-and-white copies, and
c, the number of color copies that the customer paid for at the print shop?

Answers

The system of equations for find b, the number of black-and-white copies, and c, the number of color copies that the customer paid for at the print shop is,

⇒ b + c = 68

⇒ 0.08b + 0.15c = 6

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

Total amount paid = $6.00

Total copies = 68

Cost of black-and-white copy = $0.08

Cost of color copy = $0.15

Now, Let number of black-and-white copies = b

And, Number of color copies = c

Hence, The equation become;

b + c = 68

0.08b + 0.15c = 6

Therefore, The system of equations for find b, the number of black-and-white copies, and c, the number of color copies that the customer paid for at the print shop is,

⇒ b + c = 68

⇒ 0.08b + 0.15c = $6

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Introduction Sort each number into the correct category
21
Prime
Composite
11
15
16
29
13

Answers

Answer:

Prime: 11, 13, 29.

Composite: 21, 15, 16.

Step-by-step explanation:

May I ask a question?

Answers

Answer:

Yes

What is Questionnaire?

A questionnaire is a research instrument consisting of a series of questions for the purpose of gathering information from respondents through survey or statistical study. The questionnaire was invented by the Statistical Society of London in 1838.

Step-by-step explanation:

무ㅜ됴ㅐㅜㅎ ㅗㅁㄴ됴ㅐ

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Which is the graph of f(x) = 100(0.7)?

Answers

Answer:

f(x) = y = 70

Step-by-step explanationsince

since 100 · 0.7 = 70

      f(x) = y = 70

Answer:

Graph A. On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100).

Step-by-step explanation:

Edge

What is the quotient?
x-3) 4x2+3x+2
+2
O 4X2 + 15 +
47
X-3
43
0 4x + 15 +
X-3
O 4x2 + 15 +
43
X-3
0 4x + 15 +
47
X-3

Answers

Answer:

13

Step-by-step explanation:

the answer is 13

the answer is 13

the answer is 13

the answer is 13

the answer is 13

The quotient obtained by dividing 4x²+3x+2 will be 4x + 15 hence option (A) will be correct.

What is the equation?

An equation can be defined in numerous ways. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions.

A formula known as an equation uses the same sign to denote the equality of two expressions.

In another word, the equation must be constrained with some constraint.

Given that

dividend  =  4x²+3x+2

divider = x -3

⇒ (x - 3) / 4x²+3x+2

⇒ (x - 3) / 4x²+3x+2

→ First it will goes for 4x time so 4x × (x - 3) = 4x² - 12x

Quotient = 4x

so (4x²+3x+2) - (  4x² - 12x ) = 15x + 2

(x - 3) / 4x²+3x+2

→ Second time it goes for 15 so 15 × (x - 3) = 15x -45

Quotient = 15

so  (15x + 2 ) - (  15x -45 ) = 47

Hence, 47 will be the remainder and the quotient will be (4x + 15).

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Jordayn has read 72 pages of her book. It took her 1 (1)/(2 ) hours. How many hours would it take for her to read 168 page book?

Answers

Answer:

We can start by finding how many pages Jordayn reads per hour:

Pages per hour = 72 ÷ (1 1/2) = 72 ÷ 3/2 = 48

So, Jordayn reads 48 pages per hour.

To find out how long it would take her to read a 168-page book, we can use the following formula:

Time = Pages ÷ Pages per hour

Time = 168 ÷ 48

Time = 3.5

Therefore, it would take Jordayn 3.5 hours to read a 168-page book, assuming her reading speed remains constant

IF NQZ IS SIMILAR TO CBK, FIND BK

IF NQZ IS SIMILAR TO CBK, FIND BK

Answers

Answer:

Bk = 65

Step-by-step explanation:

BK as we can see is 4x + 1

If two triangles are similar, the ratio of the corresponding sides are the same

Thus;

2x+7/27 = 4x + 1/45

45(2x + 7) = 27(4x + 1)

90x + 315 = 108x + 27

108x-90x = 315-27

18x = 288

x = 288/18

x = 16

From the question;

BK = 4x + 1

BK = 4(16) + 1

BK = 64 + 1

BK = 65

What is the slope of a line that is parallel to the line y = 3/4x + 2?
O -4/3
O -3/4
O 3/4
O 4/3

Answers

Answer:

The slope is 3/4

Step-by-step explanation:

y = 3/4x + 2

This is given in slope intercept form y = mx+b where m is the slope

Parallel lines have the same slope

The slope is 3/4

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