What is the mulitplicative rate of change for the exponential function f(x) = 2 (5over2) to the negative x power ?

Answers

Answer 1

Answer:

  2/5

Step-by-step explanation:

  f(x) = 2(5/2)^-x = 2(2/5)^x

The multiplicative rate of change is the base of the positive exponent, 2/5.


Related Questions

PLEASE PLEASE PLEASE HELP ME ANSWER THIS QUESTION QUICK!! The picture of the question is down below.

Answers

Answer:

Step-by-step explanation:

You must multiply the first two equation which is 5x+1 and x this will give you

5x^2 + x. The bold goes in the first box.

Then do the same thing for 2x+1 and x+1 which will give you 2x^2+2x+x+1 or 2x^2+3x+1. This goes in the second box.

In the last box you will add 5x^2 +x and 2x^2 +3x +1, which gives you 7x^2 +4x +1.

Goes in the last box.

Hope this helps you.

[09.01]

Identify the domain of the equation y=x2 - 6x + 1. (1 point)

Answers

Answer:

All real numbers.

Step-by-step explanation:

As there are no restrictions on the values of x, the domain is all real numbers.

Answer:

All real numbers.

Step-by-step explanation:

Question
Consider these functions.
f(x) = -9x + 14
g(x)=-3x2
Select the correct answer from each drop-down menu.i
If x = 6, then f(6)
If g(x) -48, then x =
and x =
Submit

Answers

Answer:

[tex]\large \boxed{-40, \ 4, \ -4}[/tex]

Step-by-step explanation:

[tex]f(x)=-9x+14[/tex]

[tex]\sf Put \ x \ as \ 6.[/tex]

[tex]f(6)=-9(6)+14[/tex]

[tex]f(6)=-54+14[/tex]

[tex]f(6)=-40[/tex]

[tex]g(x)=-3x^2[/tex]

[tex]\sf Put \ g(x) \ as \ -48.[/tex]

[tex]-48=-3x^2[/tex]

[tex]\displaystyle \frac{-48}{-3} =\frac{-3x^2 }{-3}[/tex]

[tex]16=x^2[/tex]

[tex]\sqrt{16} =\sqrt{x^2 }[/tex]

[tex]x= \pm 4[/tex]

Answer:

F(6) = -9(6) + 14 = -54 + 14. f(6) = -40

G(x) = -48 / g(x) = -3(16) / g(4) = -48

Step-by-step explanation:

For the first one the drop answer is -40

For the second one its 4 then 16

I think because that whats im seeing but these are the right answers :)

Write the number 12794.5 in scientific notation.​

Answers

The answer to ur problem is 1.27945

Answer:

the other guy is wrong the answer is 1.27945 × 10 but then 10 is to the power of 4 but I do not know how to type that.

Step-by-step explanation:

To convert 12794.5 into scientific notation, follow these steps:

1.       Move the decimal 4 times to left in the number so that the resulting number, m = 1.27945, is greater than or equal to 1 but less than 10

2.      Since we moved the decimal to the left the exponent n is positive

n = 4

3. Write in the scientific notation form, m × 10 to the power of n

= 1.27945 × 10 to the power of 4

Therefore, the decimal number 12794.5 written in scientific notation is 1.27945 × 10to the power of 4 and it has 6 significant figures.

Cybil flips a coin and rolls a fair number cube at the same time. What is the probability that she will toss tails and roll a number less than 3? A. 1/6 B. 1/3 C. 2/5 D. 1/2 Please include ALL work! <3

Answers

[tex]|\Omega|=2\cdot6=12\\|A|=1\cdot2=2\\\\P(A)=\dfrac{2}{12}=\dfrac{1}{6}[/tex]

-4x – 3 = -X – 30
how do i do this ?

Answers

Answer:

x=9

Step-by-step explanation:

-4x-3=-x-30

-4x+x=-30+3

-3x=-27

x=9

A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the time read exactly 5:32 p.m At this time, he started pumping gas into the tank. At exactly 5:38 p.m , the tank was full and he noticed that he had pumped 10.6 gallons. What is the average rate of flow of the gasoline into the gas tank?

Answers

9514 1404 393

Answer:

  1.767 gal/min

Step-by-step explanation:

The flow rate in gallons per minute is found by dividing gallons by minutes.

  (10.6 gal)/(6 min) ≈ 1.767 gal/min

A sprinkler system is being installed in a newly renovated building on campus. The average activation time is supposed to be at most 20 seconds. A series of 12 fire alarm/sprinkler system tests results in an average activation time of 21.5 seconds. Do these data indicate that the design specifications have not been met? The hypotheses to be tested are H0: m = 20 versus Ha: m > 20, where m = the true average activation time of the sprinkler system. Assume that activation times for this system are Normally distributed with s = 3 seconds.
(a) What is the value of the observed test statistic?
(b) What is the value of the P-value?
(c) Are the data statistically significant at the 5% significance level? Explain briefly.
(d) What does the decision you made mean with respect to the question "Do these data indicate that the design specifications have not been met?"
(e) If the true average activation time of the sprinkler system is, in fact, equal to 20 seconds, what type of error would you have made?

Answers

Answer:

A) t = 1.73

B) p-value =  0.0558

C) Data is not statistically significant because the p-value of 0.0558 is more than the significance value of 0.05

D) The decision means that the design specifications are not met.

E) Type II error

Step-by-step explanation:

The hypotheses are:

H₀: μ = 20

H₁: μ > 20

A) Formula for the test statistic is;

t = (x' - μ)/(s/√n)

Now, we are given;

x' = 21.5

μ = 20

s = 3

n = 12

Thus;

t = (21.5 - 20)/(3/√12)

t = 1.73

B) we have our t-value as 1.73

Now, Degree of freedom(DF) = n - 1

So,DF = 12 - 1 = 11

Using significance level of α = 0.05, t-value = 1.73 and DF = 11, one tailed hypothesis, from online P-value calculator attached, we have;

p-value =  0.0558

C) Data is not statistically significant because the p-value of 0.0558 is more than the significance value of 0.05

D) We will not reject the null hypothesis. The decision means that the design specifications are not met.

E) If the true average activation time of the sprinkler system is, in fact, equal to 20 seconds, then the null hypothesis is false.

Since we did not reject the null hypothesis even though it is false, the error that was committed was therefore a type II error.

The graph of the equation y = 3x + 1 is shown below.



If the graph is reflected across the y-axis, what will be the equation of the new graph?

Answers

Answer:

I think its B. Y = -3x + 1

Step-by-step explanation:

Sorry if this is wrong.

The sum of first 'n' terms. Sn of a particular Arithmetic Progression is given by Sn=12n - 2n^2. Find the first term and the common difference

Answers

Let a be the first term and d the common difference between consecutive terms. Then the next few terms in the sequence are

a + d

a + 2d

a + 3d

and so on, up to the k-th term

a + (k - 1) d

The sum of the first n terms of this sequence is

[tex]\displaystyle S_n = \sum_{k=1}^n(a+(k-1)d) = 12n-2n^2[/tex]

Expanding the sum, we have

[tex]\displaystyle S_n = \sum_{k=1}^n (a+(k-1)d) \\\\ S_n = \sum_{k=1}^n(a-d+dk) \\\\ S_n = (a-d)\sum_{k=1}^n1+d\sum_{k=1}^nk \\\\ S_n = (a-d)n+\frac{d}2n(n+1) \\\\ S_n = (a-d)n+\frac{d}2(n^2+n) \\\\ S_n = \left(a-\frac{d}2\right)n+\frac{d}2n^2[/tex]

It follows that

a - d/2 = 12

d/2 = -2

Solve these equations for a and d.

d/2 = -2   ==>   d = -4

a - d/2 = a + 2 = 12   ==>   a = 10

So the sequence is

10, 6, 2, -2, -6, -10, -14, …

A bank quotes an interest rate as 0.06341 annual effective yield. What interest rate, compounded monthly, will provide that
annual effective interest rate? Round your answer to five decimal places and do not round any intermediate calculations to
less than seven decimal places.

Answers

9514 1404 393

Answer:

  0.06164

Step-by-step explanation:

The effective annual rate obtained by compounding nominal annual rate r monthly is ...

  eff rate = (1 +r/12)^12 -1

Then the value of r is ...

  r = 12×((eff rate) +1)^(1/12) -1)

For the given effective rate, that is ...

  r = 12×(1.06341^(1/12) -1) ≈ 0.06164 . . . . nominal annual interest rate

Find the missing length.
A. 25
B. 12
C. 20
D. 100

Answers

Answer:

25  Answer A

Step-by-step explanation:

Use similar triangles, and the proportion derived from the quotient of a leg to the hypotenuse:

[tex]\frac{15}{9} =\frac{x}{15} \\x=\frac{15^2}{9} \\x=25[/tex]

Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Find the probability that a given score is less than 1.99 and draw a sketch of the region.

Answers

Answer:

Step-by-step explanation:

To find this probability, we shall be using the z-score route

Mathematically ;

z-score = (x -mean)/SD

From the question, x = 1.99, mean = 0 and SD = 1

So z = (1.99-0)/1 = 1.99

So the probability we want to calculate is;

P(z<1.99)

This value can be obtained from the standard normal distribution table.

P(z < 1.99) = 0.9767

The sketch of the region is as shown as in the attachment.

Complete the table for the given rule.
Rule: y = 6x – 4
х. Y
1
3
10

Answers

Answer:

a y = 2

b.y = 14

c. y =56

Step-by-step explanation:

a .6 (1)- 4=2

y=2

b. 6 (3)- 4

=18-4

y=14

c. 6 (10) - 4

= 60 - 4 =56

The average score of all golfers for a particular course has a mean of 70and a standard deviation of 5.Suppose 100golfers played the course today. Find the probability that the average score of the 100golfers exceeded 71.Round to four decimal places.

Answers

Answer:

0.9773

Step-by-step explanation:

Here, we start by calculating the z-scores statistic

Mathematically;

z-score = (x-mean)/SD/√n

From the question, we have;

x = 71, mean = 70, SD = 5 and n = 100

Plugging these values in the equation above, we have;

z-score = (71-70)/5/√100 = 1/5/10 = 1/0.5 = 2

So the probability we want to calculate is that;

P(z > 2)

This is obtainable from the standard normal distribution table

P(z > 2) = 0.97725 which is 0.9773 to 4 decimal places

? Question
Use the drawing tools to form the correct answer on the graph.
Graph this step function:

Answers

Answer:

start on (0,1) and go up two and left three. keep going until you run out of room. then, draw a line through the points.

Step-by-step explanation:

Select the term that can be a list of values or numbers associated with context over an entire set of interest.

a.)
Frequency
b.)
Distribution
c.)
Variable
d.)
Data set

Answers

Answer: D

Step-by-step explanation:

Evaluate the expression 8p6

Answers

Answer:

Evaluate 8P6 P 6 8 using the formula nPr=n!(n−r)! P r n = n ! ( n - r ) ! . 8!(8−6)! 8 ! ( 8 - 6 ) ! Subtract 6 6 from 8 8 . 8!(2)! 8 ! ( 2 ) ! Simplify 8!(2)! 8 !

Step-by-step explanation:

evaluate" usually means to put a value in for the variable, but you don't give us a value for p. also, it is unclear if you ...

The value of the expression [tex]^8P_6[/tex] is 20160.

What is permutation?

A permutation of a set in mathematics is, broadly speaking, the rearrangement of its elements if the set already has an ordered structure into a sequence or linear order.

The value of the expression is calculated as:-

[tex]^8P_6=\dfrac{8!}{8!-6!}=\dfrac{8!}{2!}[/tex]

[tex]^8P_6 =\dfrac{8\times 7\times 6\times 5\times 4\times 3\times 2}{2}[/tex]

[tex]^8P_6[/tex] = 20160

Hence, the value is 20160.

To know more about permutations follow

https://brainly.com/question/4658834

#SPJ5

ASAP!!!!!!!asap!!!!!!!!!!!! asap asap asap

Answers

Answer:

7). x = 3.2, AC = 42.8

8). a = 6, YZ = 38

Step-by-step explanation:

It is given in the question that a point B is between A and C of the line segment AC.

⇒ AB + BC = AC

By substituting the values of segments,

5x + (9x - 2) = (11x + 7.6)

14x - 2 = 11x + 7.6

14x - 11x = 7.6 + 2

3x = 9.6

x = 3.2

Therefore, AC = 11x + 7.6

                        = 11(3.2) + 7.6

                        = 35.2 + 7.6

                        = 42.8

Question (8).

If Y is a point between X and Z,

⇒ XY + YZ = XZ

By substituting the measures of these segments given in the question,

(3a - 4) + (6a + 2) = (5a + 22)

9a - 2 = 5a + 22

9a - 5a = 22 + 2

4a = 24

a = 6

Since, length of segment YZ = 6a + 2

                                                = 6(6) + 2

                                                = 38

An airplane takes 3 hours to travel a distance of 2160 miles with the wind. The return trip takes 4 hours against the wind. Find the speed of the plane in still air and the speed of the wind. The speed of the plane in still air is ____ ▼ mph miles hour and the speed of the wind is ____ ▼ mph. hour miles

Answers

Answer:

630 and 90 respectively

Step-by-step explanation:

Let the speed of wind be x and the plane speed be y

ATQ, (y+x)*3=2160 and (y-x)*4=2160. Solving it, we will get x=90 and y=630

The speed of the plane in still air is 630 miles per hour and the speed of the wind is 90 miles per hour.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

An airplane takes 3 hours to travel a distance of 2160 miles with the wind. The return trip takes 4 hours against the wind.

Let 'x' be the speed of the plane and 'y' be the speed of the wind. Then the equations are given as,

x + y = (2160 / 3)

x + y = 720                  ...1

x - y = (2160 / 4)

x - y = 540                  ...2

Add equations 1 and 2, then we have

2x = 720 + 540

x = 1260 / 2

x = 630 miles per hour

Then the value of 'y' is calculated as,

630 + y = 720

y = 90 miles per hour

The speed of the plane in still air is 630 miles per hour and the speed of the wind is 90 miles per hour.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

a collection of quantitative or numerical data that describes a property of an object or event.
metric system
1.base unit
2.number
3.units
4.measure
5.SI system​

Answers

Answer:

measure

Step-by-step explanation:

The collection of quantitative or numerical data that describes a property of an object or event is called a measured/measurement.

The SI Unit is a metric system. An example of an SI Unit is the kilogram, centimeter, second, etc.

Measurements are made by comparing a particular quantity with an SI unit or assigning numbers to certain objects in a way that reflects its value.

Mark is buying supplies for his students. He is buying a notebook (n) and a pack of pencils for each of his 25 students. Each pack of pencils costs $1.25. If Mark's total cost is $156.25, which of the following equations can be used to find how much each notebook cost? Select TWO that apply.

Answers

Answer:

$5

Step-by-step explanation:

Note. There are no options to select.

Let the notebook cost x, then Mark spent:

25x + 25*1.25 = 156.2525x + 31.25 = 156.2525x = 156.25 - 31.2525x = 125x= 125/25x= 5

Notebook costs $5

Write 41/12 as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats. Write as a decimal.

Answers

Answer:

3.416, bar above 6

Step-by-step explanation:

41/12 = 3.4166666666666

41/12 = 3 & 5/12

Answer:

66

Step-by-step explanation:

41/12 = 3.4166

look at the image for the answer below?

Answers

Answer:

Does the answer help you?

Find x. A. 44√3 B. 33 C. 33√2 D. 11√3

Answers

Answer:

B

Step-by-step explanation:

Sin 45 = y/(11√6)

1/√2 = y/(11√6)

y= (11√6)/√2

y= 11√3

tan 60 = x/y

√3 = x/y

x = y√3

= (11√3)√3

= 11(3)

= 33

What is the domain of h?

Answers

Answer:

{-2, -1, 1, 5, 6}

Step-by-step explanation:

The domain includes the five x-values (inputs):  {-2, -1, 1, 5, 6}

Answer:

The x-values -2, -1,1,5 and 6

Step-by-step explanation:

In a 4 day period, a delivery person delivered the following number of
packages per day: 1150, 1200, 1900 and 1350. The average number of
packages he delivered per day was _?_

Answers

Answer: 1400 packages

Step-by-step explanation:

1150+1200+1900+1350 divided by the 4 day interval means and average of:

1400 packages per day

Suppose that 17 inches of wire costs 68 cents.
At the same rate, how much (in cents) will 39 inches of wire cost?
cents
Х
5
?

Answers

Answer:

5

Step-by-step explanation:

17 inches is equal to 39 inches and it's answer is 5

Cost of 17 inches of wire = 68 cents

Cost of 1 inch of wire

= 68 cents/17

= 4 cents

Cost of 39 inches of wire

= 4 cents × 39

= 156 cents

= $1.56

Pattern A: 0, 5, 10, 15, 20,... Pattern B: 0, 20, 40, 60, 80,... Which statement is true about the relationship between the corresponding terms of Pattern A and Pattern B? A. The terms in Pattern B is 4 times the corresponding terms in Pattern A. B. The terms in Pattern A is 1/2 times the corresponding terms in Pattern B. C. The terms in Pattern B is 20 more than the corresponding terms in Pattern A. D. The terms in Pattern A is 5 more than the corresponding terms in Pattern B.

Answers

Answer:

Option 1: The terms in Pattern B is 4 times the corresponding terms of Pattern A

Step-by-step explanation:

Answer:

Pattern B has more then pattern A so option 2

Step-by-step explanation:

write an equivalent expression without negative exponent for 5 to the negative 4th power


Answers

Hi! I'm happy to help!

To solve this problem, we need to first solve [tex]5^{-4}[/tex].

Negative exponents divide the number by x instead of multiplying. So, [tex]5^{-4}[/tex] is 1/625. Since we can't use another negative exponent, we can use a number that would decrease with a positive exponent. In this situation, we can use the inverse of 5, which is [tex]\frac{1}{5}[/tex], and put this to the fourth power. [tex]\frac{1}{5} ^{4}[/tex]

This expression also equals 1/625.

I hope this was helpful, and keep learning! :D

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