does the following function represent exponential growth, exponential decay or niether? How can you tell? Y=2*.68^x

Answers

Answer 1

The base of the exponential term (0.68) is less than 1, so the function represents exponential decay.

_____
If it were greater than 1, it would represent exponential growth.

Related Questions

Use the Venn diagram to calculate probabilities.

Which probability is correct?
P(A|B)=1/2
P(B|A)=7/20
P(A|C)=6/23
P(C|A)=13/17

Answers

Answer: The correct probability is (D) [tex]P(C/A)=\dfrac{13}{17}.[/tex]

Step-by-step explanation: We are given to select the option that gives the correct probability statements using the Venn-diagram in the figure.

From the figure, we can see that there are three events, A, B and C.

And,

[tex]n(A)=1+6+7+3=17,\\\\n(B)=1+6+4+9=20,\\\\n(C)=6+4+6+7=23,\\\\n(A\cap B)=1+6=7,\\\\n(A\cap C)=6+7=13,\\\\n(B\cap C)=6+4=10,\\\\n(A\cap B\cap C)=6.[/tex]

By the law of SET THEORY, we have

[tex]n(A\cup B\cup C)=n(A)+n(B)+n(C)-n(A\cap B)-n(B\cap C)-n(A\cap C)+n(A\cap B\cap C)\\\\\Rightarrow n(A\cup B\cup C)=17+20+23-7-13-10+6\\\\\Rightarrow n(A\cup B\cup C)=36.[/tex]

So, the total number of elements in the sample space 'S' will be

n(S) = 36 + 8 = 44.

Therefore,

[tex]P(A/B)=\dfrac{P(A\cap B)}{P(B)}=\dfrac{\dfrac{n(A\cap B)}{n(S)}}{\dfrac{n(B)}{n(S)}}=\dfrac{7}{44}\times \dfrac{44}{20}=\dfrac{7}{20},\\\\\\\\P(B/A)=\dfrac{P(B\cap A)}{P(A)}=\dfrac{\dfrac{n(B\cap A)}{n(S)}}{\dfrac{n(A)}{n(S)}}=\dfrac{7}{44}\times \dfrac{44}{17}=\dfrac{7}{17},\\\\\\\\P(A/C)=\dfrac{P(A\cap C)}{P(C)}=\dfrac{\dfrac{n(A\cap C)}{n(S)}}{\dfrac{n(C)}{n(S)}}=\dfrac{13}{44}\times \dfrac{44}{23}=\dfrac{13}{23},\\\\\\\\P(C/A)=\dfrac{P(C\cap A)}{P(A)}=\dfrac{\dfrac{n(C\cap A)}{n(S)}}{\dfrac{n(A)}{n(S)}}=\dfrac{13}{44}\times \dfrac{44}{17}=\dfrac{13}{17}.[/tex]

Thus, the correct probability is [tex]P(C/A)=\dfrac{13}{17}.[/tex]

Option (D) is correct.

The probability P(A/B) is 7/20, the probability P(B/A) is 7/17, the probability P(A/C) is 13/23, and the probability is P(C|A) is 13/17 option fourth is correct.

What is the Venn diagram?

It is defined as the diagram that shows a logical relation between sets.

The Venn diagram consists of circles to show the logical relation.

For the value of probability P(A|B):

We know that:

[tex]\rm P(A/B)=\frac{P(A\cap B)}{P(B)} \Rightarrow \frac{\frac{n(A\cap B)}{n(T)} }{\frac{n(B)}{n(T)} }[/tex]

From the Venn diagram:

n(A∩B) = 7, n(B) = 20, n(T) = 44

P(A/B) = (7/44)×44/20)

P(A/B) = 7/20

For P(B|A):

[tex]\rm P(B/A)=\frac{P(B\cap A)}{P(A)} \Rightarrow \frac{\frac{n(B\cap A)}{n(T)} }{\frac{n(A)}{n(T)} }[/tex]

The values of n(B∩A) = 7, n(A) =17

P(B/A) = (7/44)×(44/17)

P(B/A) = 7/17

For P(A|C):

[tex]\rm P(A/C)=\frac{P(A\cap C)}{P(C)} \Rightarrow \frac{\frac{n(A\cap C)}{n(T)} }{\frac{n(C)}{n(T)} }[/tex]

The value of n(A∩C) = 13, n(C) = 23

P(A/C) = (13/44)×(44/23)

P(A/C) = 13/23

For P(C|A):

[tex]\rm P(C/A)=\frac{P(C\cap A)}{P(A)} \Rightarrow \frac{\frac{n(C\cap A)}{n(T)} }{\frac{n(A)}{n(T)} }[/tex]

The values of n(C∩A) = 13, n(A) = 17

P(C|A) = (13/44)×(44/17)

P(C|A) =13/17

Thus, the probability P(A/B) is 7/20, the probability P(B/A) is 7/17, the probability P(A/C) is 13/23, and the probability is P(C|A) is 13/17 option fourth is correct.

Learn more about the Venn diagram here:

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Find the surface area of a sphere with a radius of 30 m. leave your answer in terms of pi @Directrix

Answers

The formula for surface area of a sphere: A = 4 pi r^2.
Since the radius is 30 m then A = 4pi30^2.
30^2 x 4 =3600
A=3600pi m

Jessica is designing a large, circular garden for a neighborhood park. A part of the garden will be occupied by a fountain. If the diameter of the garden is 82 meters and the measure of the angle formed by the fountain is 126°, what will be the approximate length of the garden cover by the fountain?

Answers

For this case what we should do is use the following relationship:
S = R * theta
Where
S: length of the garden covered by the fountain.
R: Garden radio
theta: angle formed by the source.
Substituting values we have:
S = (82/2) * ((126) * (pi / 180))
S = 90.16 m
Answer:
The approximate length of the garden cover by the fountain will be:
S = 90.16 m

32 deanna bought a shirt that was on sale for 40% off the original price. she also used a coupon that gave her an additional 20% off the sale price of the shirt. the original price of the shirt was $54. what is the new price of the shirt before tax?

Answers

40% + 20% = 60%

60% = 0.60

54 x 0.60 = 32.40

54 - 32.40 = 21.60

the price was $21.60

A quadrilateral has angle measures of 52°, 94°, and 97°.

What is the measure of the fourth angle?

Enter your answer in the box.

Answers

The answer should be 117. Quadrilaterals add up to 360, but you only have 3 measurements, so add them up then subtract from 360 to get the remainder. 52+94+97=243. 360-243=117

A quadrilateral has angle measures of 52°, 94°, and 97°.

What is the measure of the fourth angle?

Enter your answer in the box.

Answer: 117

Step-by-step explanation:

Math help.... Please....

This doesn't make any sense to me. Pls help me. I'm not begging, but this problem has been stumping me and I don't understand how to do it.... I'm using 99 points to give to a person who maybe can help me. I will give Brainliest if you are correct.

Thank you so very kindly.

When Julia dumped out the big jar of dimes and nickles she found 287 coins. If there was $20.50 in the jar, how many of each kind of coin was there??

Don't answer this unless you actually are answering the question!!! If you have any questions, or it doesn't make sense, please say something in the "Ask for Details" section.

Thanxs again!!!

Answers

First, you want to solve for the equation for this problem, would be:
0.05N + 0.10D = 20.50
While N = The amount of nickels, and D = The amount of dimes.

Since N = 164, and D = 123. It would add up to 287 coins. 164 + 123 = 287.
Now that you have the number for those two variables, solve the equation for when N = 164, and D = 123.
0.05N + 0.10D = 20.50
0.05(164) + 0.10(123) = 20.50
8.2 + 12.3 = 20.50
20.50 = 20.50
So, there is 164 nickels, and 123 dimes for your answer.

I hope this helps!

~ Notorious Sovereign

Answer:First, you want to solve for the equation for this problem, would be:

0.05N + 0.10D = 20.50

While N = The amount of nickels, and D = The amount of dimes.

Since N = 164, and D = 123. It would add up to 287 coins. 164 + 123 = 287.

Now that you have the number for those two variables, solve the equation for when N = 164, and D = 123.

0.05N + 0.10D = 20.50

0.05(164) + 0.10(123) = 20.50

8.2 + 12.3 = 20.50

20.50 = 20.50

So, there is 164 nickels, and 123 dimes for your answer.

I hope this helps you

Can anyone please help

Answers

Hello,

9)
∠DBC=90-54=36°
∠CAD=∠DBC=36°

10)
∠BOC=1/2(360-2*100)=1/2*160=80°
∠l=1/2∠AOD=1/2∠BOC=40°

11)
JL=10
JA=7==>AL=10-7=3

LC=AL=3
LK=11
CK=11-3=8

KB=KC=8
BJ=JA=7

perimeter=10+11+15=36

Just a short answer please help :( the top

Answers

26/100 = x/82 I think that's what you want.

26 is to 100 as x is to 82

26/100 = x/82

I have another Brainliest

Answers

Answer: “A” Opportunity cost is “the value of an investment opportunity you pass up in order to take another investment opportunity .” It’s pretty much the sacrifice you make to do something else.
Ex. To earn volunteer hours, Billy decided not to go to Bob’s birthday party.

The center of a circle is at (−2, −7) and its radius is 6.

What is the equation of the circle?

(x−2)2+(y−7)2=36

(x−2)2+(y−7)2=3

(x+2)2+(y+7)2=3

(x+2)2+(y+7)2=36

The equation of a circle is (x+4)2+(y−5)2=121.

What is the center and radius of the circle?

center: (4, −5); radius: 11

center: (−4, 5); radius: 121

center: (−4, 5); radius: 11

center: (−4, −5); radius: 121

Answers

1.) equation of the circle is (x+2)2 + (y+7)2 = 36
2.) center: (-4, 5) radius 11

Answer:

1. option D is correct; [tex](x+2)^2+(y+7)^2=36[/tex]

2. option C is correct; center: (-4, 5) and radius = 11 unit

Step-by-step explanation:

The general equation of the circle is given by:

[tex](x-h)^2+(y-k)^2=r^2[/tex] .....[1]

where,

(h, k) is the center of the circle and r is the radius of the circle.

As per the statement:

The center of a circle is at (−2, −7) and its radius is 6.

⇒(h, k) = (-2, -7) and r = 6 units

Substitute these in [1] we have;

[tex](x-(-2))^2+(y-(-7))^2=6^2[/tex]

⇒[tex](x+2)^2+(y+7)^2=36[/tex]

Therefore, the equation of circle is, [tex](x+2)^2+(y+7)^2=36[/tex]

As per the statement:

The equation of a circle is:

[tex](x+4)^2+(y-5)^2 = 121[/tex]

We can write this as:

[tex](x-(-4))^2+(y-5)^2 = 11^2[/tex]

On comparing with equation [1] we have;

(h, k) = (-4, 5) and r = 11 units

Therefore, the center and radius of the circle is,

center: (-4, 5) and radius = 11 unit

What is the exact value of sin 30° ?

Enter your answer, as a simplified fraction, in the box.

Answers

To solve this problem you must apply the proccedure shown below:

1. By defnition, sine is one of the trigonometric functions. The sine of an angle can be written as below: "sin(α)".

2. The sine of 30 degrees, is:

sin(30°)=1/2

3. Therefore, the answer for the exercise shown above: sin(30°)=1/2

f √6 is the geometric mean between 6 and another number, then the number is

Answers

6*x = √6
What you have here is a geometric series beginning with x ⇒ √6 ⇒ 6
x = √6 / 6 It is the smallest number in the series.

Each number is multiplied by √6 to get to the next number in the series.
√6/6 <<<< answer

HELLO!!! ^-^

The answer is 1.

If √6 is the geometric mean between 6 and another number, then the number is 1.

(I had the same question and got it right using this answer so yeah) ^-^

Have an amazing day!!! ^-^

Historical Fact:

Back in the older days, the word awful was a word used to praise someone! That is because aw in awful comes from the origin awe which is used when someone is in awe of you!!! For example: You are AWESOME!!!

How are experimental and theoretical probability alike?

Answers

The probability is still calculated the same way, using the number of possible ways to outcome can occur divided by the total number of outcomes.

What is 6 divided by 1/3

Answers

6/(1/3)

to find the answer, you must flip the second fraction, and change the division into a multiplication

6 x 3

6 x 3 = 18

18 is your answer

hope this helps

Norma has an A-frame cabin.The back is shown below. How many square feet of paint will she need to cover the back of the cabin?

Answers

I FOUND YOUR FULL QUESTION IN OTHER FUENETES.
PLEASE SEE ATTACHED IMAGE.
For this case what you should do is find the area of the triangle which will be given by:
A = (1/2) * (b) * (h)
Where
b: base
h: height
Substituting the values we have:
A = (1/2) * (25 1/2) * (15)
A = 191.25 feet ^ 2
Answer:
she will need 191.25 feet ^ 2 to cover the back of the cabin

PLEASE HELP ME QUICKLY!!

Answers

Your Answer is correct, because for every rate of change the x-value (-1) is decreasing, and the rate of change f(x)-value (-3) is also decreasing. This gives you a -1/-3 rate of change (slope). Two negatives make a positive therefore the is at a constant rate of change (slope) of 1/3.

Keep in mind unfortunately I am not 100% sure, but this is what I think. Hope this helps a little!

1 question pleasee i need this asap!! thank you :D

Answers

The correct answer is: [A]: " x = 6 " or " x = - 9 " .
________________________________________________________
Explanation:
________________________________________________________
Given the following equation:
________________________________________________________

" x² + 3x – 54 = 0 " ; Solve for "x" ;
_____________________________________________________
Check if the part of the equation on the "left-hand side" can be "factored":

" x² + 3x – 54 " ;

→ We see the " + 3x " and the " – 54 "

Factors of " -54 " that add up to " +3" ;

Let us try: " -9, 6" ; → " -9 + 6 = -3 " ; → " -3 ≠ +3 ;

Let us try: " 9, -6" ; → " 9 + (-6) = 9 – 6 = 3 " ; YES!
→ {that is: " +9 , -6 "} ;

So, we can rewrite the entire equation:

→ " (x + 9)(x – 6) = 0 " ;

→ " x = -9 " ; or, " x = 6 " ; which is:

→ Answer choice: [A]: " x = 6 " or " x = - 9 " .
______________________________________________________

Perform the indicated operation. then estimate to see whether the proposed results is reasonable. 11.58 + 11.9 + 9.2
32.68
22.68
33.68
31.68 Preform the indicated operation. Then estimate to see whether the proposed result is reasonable.
93.8 - 6.48
87.32
97.44
87.42
94.34
Preform the indicated operation. Then choose the best answer. 27.7 x 1.9 5.363
52.63
53.62
5.263 Choose the best estimate. 64.1 ÷ 97
641
6.41
0.641
6410 Use estimation to determine whether the result is reasonable or not. 108.93 x 32.6 Result: 355.112 Is it reasonable or not?

Answers

1) 32.68
2) 87.32
3) 52.63
4) 0.641
5) Unreasonable, the decimal point should be moved 1 space to the right.

Ken is adding a ribbon border to the edge of his kite.Two aides of the kite measure 9.5 inches,while the other two sides measure 17.8.How much ribbon does Ken need?

Answers

54.6 inches
9.5 times 2 is 19
17.8 times 2 is 35.6
19 plus 35.6 is 54.6 inches

There are 54.6 inches ribbon does Ken need.

What is Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

Ken is adding a ribbon border to the edge of his kite.

Here, Two aides of the kite measure 9.5 inches, while the other two sides measure 17.8.

Hence, Total length of ribbon is,

⇒ 2 × 9.5 + 2 × 17.8

⇒ 19 + 35.6

⇒ 54.6 inches

Thus, There are 54.6 inches ribbon does Ken need.

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solve
USA Highschool Geometery

Answers

The angle bisector divides the opposite side into segments proportional to the sides of the triangle.

side of length 4 is divided into segments 11 : 13. One is 4*11/24 = 11/6, the other 13/6.

side of length 11 is divided into segments 4 : 13. One is 11*4/17 = 44/17, the other is 11*13/17 = 143/17

side of length 13 is divided into segments 4 : 11. One is 13*4/15 = 52/15, the other is 13*11/15 = 143/15

The birdwatching club has 27 members, 18 girls and 9 boys. What is the ratio of the girls to boys in the birdwatching club?

Answers

the ratio of the girls to boys in the bird-watching club is 18/9 = 2/1

answer
2/1

What perfect squares divide into 337? I only need two!

Answers

The first perfect square that divides into 337 is
[tex]337 \cdot 337 = 113569[/tex]
A second perfect square that divides into 337 is
[tex]337 \cdot 337 \cdot 2 \cdot 2 = 674\cdot 674 = 454276
[/tex]

What is the coefficient of the term of degree 2 in the polynomial below? x^6+3-2x^2+4x^7-4x a. -2 b. 3 c. -4 d. 4

Answers

we have that
x^6+3-2x^2+4x^7-4x

we know that
the term of degree 2 in the polynomial is -2x²
and the coefficient of the term of degree 2 is (-2)

the answer is option a) -2

Answer:

a. [tex]-2[/tex]

Step-by-step explanation:

The given polynomial is

[tex]x^6+3-2x^2+4x^7-4x[/tex]

We rewrite the polynomial in standard form to obtain;

[tex]4x^7+x^6-2x^2-4x+3[/tex]

The term of degree 2 in the polynomial is [tex]-2x^2[/tex].

The coefficient of this term is the constant that is multiplying [tex]x^2[/tex] which is [tex]-2[/tex]

Two number cubes are rolled. What is the probability that the sum of the numbers rolled is either 3 or 9?
A.1/6
B.1/13
C.1/18
D.1/162

Answers

[tex] |\Omega|=6^2=36\\
|A|=\underbrace{2}_{\text{the sum is 3}}+\underbrace{4}_{\text{the sum is 9}}=6\\\\
P(A)=\dfrac{6}{36}=\dfrac{1}{6}\approx17\% [/tex]

If a fair coin is tossed 5 times what is the probability of getting 3 heads in a row

Answers

The probability of getting three heads in a row is always going to be a 1/2 = .5 = 50%. It is always going to be a 50/50 chance.

PLEASE ANY HELPFUL PERSON HELP!!!!!!

Answers

94 + 4.5x < 175
4.5x < 175 - 94
4.5x < 81
x < 81/4.5
x < 18

What would happen to the buying power of your investment after one year if your rate of return was 3% and the rate of inflation was 3%?

Answers

Purchasing power is the value of a currency expressed in terms of the amount of goods or services that one unit of money can buy. A rate of return is the annual percentage return realized on an investment, which is adjusted for changes in prices due to inflation or other external effects.
Given:
Rate of return = 3%Rate of inflation =3%
Buying Power = 3% - 3% = 0%
Thus, the buying power will remain same for the year.

Help plz!!
Graph of y equals negative 2 times x squared plus 40 x plus 600
Which of the following coordinates is not an intercept for the function?

A. (−10, 0)
B. (0, 600)
C. (0, 800)
D. (30, 0)

Answers

There would not be two Y-Intercepts, so it is either B or C
Since you can determine the intercept through the equation y=mx+b and b in this equation is 600 so the answer is C

Answer:

0,800

Step-by-step, explanation: took test and got correct

How do you write 230% as a fraction or mixed number in simplest form?

Answers

tha t is 230/100 or 2 3/10

HELP PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ

Answers

[tex]\sqrt{a}=b\iff b^2=a\\\\a\geq0\ \wedge\ b\geq0\\\\\text{therefore your answer is}\\\\\text{(A) The equation has no solutions.}[/tex]

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