p[x]=5b exponent x what do the a and b in exponential function represent

Answers

Answer 1

P(x) = 5·b^x

You have a = 5, the initial value, the value of P(0).
"b" represents the growth factor, the multiplier corresponding to each unit of x.

Related Questions

whats the answer to 8n−15=41

Answers

The answer is 7.
8*7=56
56-15=41

Hope this helped☺☺

8n-15=41 ADD 15 TO BOTH SIDES
+15 +15

8n=56 DIVIDE BY 8
/8 /8

n=7 FINAL ANSWER

40 POINTS! + BRAINLIEST

What is the measure in radians for the central angle of a circle whose radius is 6 cm and intercept arc length is 5.4 cm?

Make sure to show all calculations.

Answers

6.5555555555555555555

Answer:

6.5

Step-by-step explanation:

1. calculate using the equation

The area of a rectangle is 54 m^2 , and the length of the rectangle is 3m more than twice the width. find the dimensions of the rectangle.

Answers

the square root of 8

ANSWER NOW PLEASE! EXTRA POINTS!
1) Martha is covering this trapezoid-shaped board with fabric. How many square feet of fabric does Martha need?

2) A garden in the shape of a regular hexagon has sides that are each 5 meters long. If the height of each of the congruent triangles within the hexagon is about 4.33 meters,what is the area of the garden?

Answers

1. 18 square feet
2. About 64.95meters or technically 64.95191
hope this helps!! :)

At Devon's new job he spent $12.99, $10.50, $9.89, $6.90, and $7.58 on lunch the first week.

In the second week, he spent $2 more in total for the 5 lunches than the first week.

What is the increase in the mean for the second week compared to the first?

Round the answer to the nearest penny.

Enter your answer in the box.

$

Answers

The correct answer is:

$0.40.

Explanation:

To find the mean of the lunch costs for the first week, we first add together all of the amounts he spent on lunch that week:

$12.99+$10.50+$9.89+$6.90+$7.58 = $47.86.

Now we divide this by the number of lunches, 5:
47.86/5 = $9.572 ≈ $9.57.

The second week he spends a total of $2 more on lunch. Adding this to the first week's total, we have:
47.86+2 = $49.86.

To find the mean, we divide this by the number of lunches in the second week, 5:
49.86/5 = $9.972 ≈ $9.97.

The mean increased from the first week to the second week by 9.97-9.57 = $0.40.

The increase in the mean for the second week compared to the first with the given parameters is; $0.40

What is the average increase?

Let us first find the mean of the lunch costs for the first week;

Mean for first week = ($12.99 + $10.50 + $9.89 + $6.90 + $7.58)/5 = $9.572

We are told that he spends a total of $2 more on lunch in the second week.

Second week total = $12.99 + $10.50 + $9.89 + $6.90 + $7.58 + $2 = $49.86.

Mean of second week = 49.86/5 = $9.972

The increase in the mean for the second week compared to the first is;

9.972 - 9.572 = $0.40

Read more about average increase at; https://brainly.com/question/11360390

How many triangles exist with the given angle measures? 32°, 51°, 97°

Answers

For each triangle sum of it's angles must add to 180°.
We need to check if these angles satisfy that condition:
32°+51°+97°=180°

They do satisfy. Now we check if any angle has value that is not possible.
32° and 51° angles are OK.
97° angle is also OK. It is obtuse angle.

For each angle measures exactly one triangle exists. In this example we have an obtuse-angle triangle.

The correct answer is 1.

To determine if a set of three angles can form a triangle, we need to check if the sum of the three angles is equal to 180°. If the sum is 180°, then the angles can form a triangle; otherwise, they cannot form a triangle.

Given angles: 32°, 51°, 97°

we can represent the calculation as follows:

[tex]\text{Sum of the given angles} &= 32^\circ + 51^\circ + 97^\circ&= 180^\circ[/tex]

Since the sum of the three given angles is equal to 180°, these angles can form a triangle.

To determine the number of triangles that exist with these angle measures, we need to consider the permutations of the angles. Since the order of the angles does not matter in a triangle, we have:

[tex]\text{Number of triangles} = \frac{3!}{3} = 1[/tex]

Therefore, there exists only one triangle with the given angle measures of 32°, 51°, and 97°.

Could I get the answer, all work and explanation for this problem?

Answers

[tex] \sqrt{50y^3x^{15}} = [/tex]

[tex] = \sqrt{25 \times 2 \times y^2 \times y \times x^{14} \times x} [/tex]

[tex] = 5|x^7y|\sqrt{2xy} [/tex]

A little sloppy but this is the answer and work you start off by breaking down the 50 then you count up the variables then last you get it all together and you have your answer

In a 30-60-90 triangle, what is the length of the hypotenuse when the shorter leg is 5 cm?

Enter your answer in the box.

Answers

Yes the answer is

10cm

Because (The 30-60-90 Triangle Theorem)
In a 30-60-90 triangle, the length of the hypotenuse is TWICE the length of the shorter leg.

Thanks Shellbag101

The length of the hypotenuse is 10cm

SOH CAH TOA identity

Given a 30-60-90 triangle where:

Length of the shorter leg = 5cm (adjacent)

The hypotenuse is what we need.

[tex]cos \theta = \frac{adj}{hyp} \\ [/tex]

Substitute the given parameters

[tex]cos 60 = \frac{5}{h}\\ h =\frac{5}{cos 60}\\ h = \frac{5}{0.5}\\ h = 10cm[/tex]

Hence the length of the hypotenuse is 10cm

Learn more on SOH CAH TOA here: https://brainly.com/question/20734777

0.135 written as a fraction is _____.

Answers

0.135 = 135/1000 = 27 / 200
hope it helps

The decimal 0.135 can be written as 27/200 in fractions.

What is a Fraction?

A fraction is a number that can be expressed as p/q, where q is not equal to zero.

It is defined as part of the whole.

0.135 is a decimal and to convert into a fraction it has to be written as

=135/1000

On simplifying the fraction

=27/200

Therefore, the decimal 0.135 can be written as 27/200 in fractions.

To know more about Fraction

https://brainly.com/question/10354322

#SPJ2

part one: How do you solve a system of equations approximately using graphs and tables?

part 2: A lake has a native population of 1,000 frogs. The native frog population increases at a rate of 200 frogs per year. A new species of 10 frogs migrates to the lake. This new species’ population increases at a rate of 50% per year. When will the two populations equal each other? Select to reveal each frog population’s growth model.

the rest: A system of equations can be created with the two functions to determine when the populations will have the same population output value, y.
y = 200x + 1,000
y = 10(1.5x)
To determine when the populations will be equal, set the equations equal to each other, and solve for x.
200x + 1,000 = 10(1.5x)
This equation is a little more challenging to solve by algebraic methods. In this lesson, you will solve systems of equations like the one above approximately by effectively using technology and tables.

Answers

This problem can be solve by graphing (technology), as suggested.
The answer is posted as an attached image. We see that after about 14.75 years, the invading species will surpass the indigenous population.

If it needs to be solved mathematically and accurately, the math is a little more advanced, using the bisection method, or Newton's method.
However, we can also do that by trial and error, starting from 14.75. It is easier than you might think.

Post if you would like to have more information on one or the other methods.

Note: the scale of y has been shrunk by 1000, so each unit on the y-axis represents 1000 frogs.

Please help! Picture included!!!
In the figure below, triangle ABC is similar to triangle PQR.
What is the length of PQ?

A)18
B)4
C)32
D)6

Answers

the answer is c)32 hope this helps

Answer is 18,
24/8 = 3
So
6x 3 = 18

please help me on this question
and explain.

Answers

Okay. For this question, basically all you have to do is plug in the domain values for x and solve from there. I'll help you with the first 3.

So 3/2 is equivalent to 1.5. A negative times a positive is a negative. -8 * 1.5 is -12. -12 + 4 is -8. That makes the ordered pair (-8, -8). To -4, -4 * 1.5 is -6. -6 + 4 is -2. That makes the ordered pair (-4, -2). Now to -2, -2 * 1.5 is -3. -3 + 4 is 1. That makes (-2, 1). If you solve for the other 3 values correctly, you other ordered pairs are (0, 4), (2, 7), and (4, 10). When graphed, the points should be plotted as shown in the attatchment.

Dyann takes a bus to work every day. On Monday the trip took 34 minutes. On Tuesday the trip took 36 minutes. On Wednesday the trip took 35 minutes. On Thursday the trip took 34 minutes. Dyann determines that the trip to work on Friday will take about 35 minutes.

Does her conclusion use inductive, or deductive reasoning?

Answers

Answer:

inductive reasoning

In this question, the conclusion is that the trip to work on Friday will take about 3535 minutes. This conclusion is based on observation of specific examples instead of scientific research.

Therefore, the type of reasoning used is inductive reasoning.

my sister needs help on this?can anyone give an explanation and answer/show work? you'll be brainliest if you do! thank you so much for taking the time :) v

Felicity recorded the number of laps she swam each month for 7 months.Her data is shown.
112,134,150,98,120,68,116
Which is the mean absolute deviation to the nearest whole number of Felicity's lap data?
A.16
B.18
C.20
D.36

Answers

Answer C

to calculate mean absolute deviation, we need to use the formula = (∑|x-mean|)/n

where x is each term given in data set

n is number of terms = 7

mean = sum of terms / n = (112+134+150+98+120+68+116)/7 = 114

now find (∑|x-mean|) = 138

MAD = (∑|x-mean|) / n = 138 /7 = 19.714 = 20

Domain -1,4,5,3,-5 Range n,w,y,n,w is this a function

Answers

Short answer yes.
If you apply the vertical line test, none of the xs have 2 ys. It does not matter if 2 xs have the same y value.

If (3x + 17) is equivalent to (4x - 8) what is x

Answers

set the two expressions equal to one another

3x + 17 = 4x - 8

3x (-4x) + 17 (-17) = 4x (-4x) - 8 (-17)

-x = -8 - 17

-x = -25

-x(/-1) = -25(/-1)

x = 25

25 is your answer

hope this helps

which value is a solution of the equation 2-8x=-6 ? ( 1point )

A. 1

B. 1/2

c. -1

d. 8,

Answers

Here the given equation is : 2-8x= -6 By bring -6 on the Left Hand size and taking 8x on the Right Hand side, the equation become. 2+6= 8X 8= 8X X=8/8 X=1 Hence value of X is 1. Hence correct option is A.

Personal Finance is a dead group.

How does the availability of credit in a community affect the housing market there?

The availability of credit has no affect on the housing market.

The less credit available, the higher the cost of housing.

The availability of credit determines whether or not people put their homes up for sale.

The more credit available, the higher the cost of housing.,

Answers

The answer is the more credit available, the higher the cost of housing. As more people are able to afford housing, it will increase the demand for housing. Since the supply of housing is largely stable in the short-term, this will cause higher housing costs.

Explain why increasing the sample size tends to result in a smaller sampling error when a sample mean is used to estimate a population mean.

A. The above statement is incorrect, the sample size has no effect on the sampling error.
B. The larger the sample size, the more closely the possible values of \bar{x} cluster around the mean of \bar{x}
C. If the sample size is larger, the possible values of \bar{x} are farther from the mean of \bar{x},

Answers

B is the correct answer. The more values or samples you are able to add, the closer you come to approximating real life (although that is impossible) because you are more likely to have a cluster of values around the mean.

Sampling error is inversely proportional to the sample size which means if the sample size increases the sampling error decreases. Then option B is correct.

What is sampling error?

The amount of inaccuracy in the estimating value appears due to the smaller sample size.

The sample size tends to result in a smaller sampling error when a sample mean is used to estimate a population mean.

We know that the formula of the sampling error

[tex]\rm Sampling \ error = z \times \dfrac{\sigma}{\sqrt{n}}[/tex]

Sampling error is inversely proportional to the sample size which means if the sample size increases the sampling error decreases.

More about the sampling error link is given below.

https://brainly.com/question/15375591

A simple question I can't answer thnks yall

Answers

the factors would be (x-1)(9x+7)

so the answer would be A

Read the word problem. Hershel buys 5 bags of cookies, 3 bags of granola, and several bags of fruit snacks from a bake sale. In total, he buys 10 bags from the bake sale. How many bags of fruit snacks did Hershel buy? Which type of word problem is shown? part-whole comparison multiplication division

Answers

Final answer:

Hershel bought 2 bags of fruit snacks in a part-whole comparison word problem, where the total (10 bags) minus the sum of known parts (5 bags of cookies and 3 bags of granola) equals the unknown part.

Explanation:

The word problem presented asks how many bags of fruit snacks Hershel bought if he bought a total of 10 bags, including 5 bags of cookies and 3 bags of granola. To solve this, we subtract the known quantities from the total: 10 total bags - 5 bags of cookies - 3 bags of granola = 2 bags of fruit snacks.

The type of word problem shown is a part-whole comparison because it involves figuring out a missing part of a whole based on the other known parts.

Which ordered pairs are solutions to the inequality 2x+3y≥−1?

Answers

Final answer:

To find the ordered pairs that are solutions to the inequality 2x+3y≥−1, we can solve the inequality and substitute different x-values to find corresponding y-values.

Explanation:

To find the ordered pairs that are solutions to the inequality 2x+3y≥−1, we can use a graph or a table of values.

Let's solve the inequality for y:

2x + 3y ≥ -1

3y ≥ -1 - 2x

3y ≥ -2x - 1

y ≥ (-2/3)x - 1/3

Now we can choose some x-values and substitute them into the inequality to find corresponding y-values:

Let's choose x = 0:

y ≥ (-2/3)(0) - 1/3

y ≥ 0 - 1/3

y ≥ -1/3

So one ordered pair that is a solution is (0, -1/3).

Let's choose x = 3:

y ≥ (-2/3)(3) - 1/3

y ≥ -2 - 1/3

y ≥ -7/3

So another ordered pair that is a solution is (3, -7/3).

prove this trigonometric equation;

- tan^2x + sec^2x = 1,

Answers

Hey there :)

- tan²x + sec²x = 1 or 1 + tan²x = sec²x

sin²x + cos²x = 1
Divide the whole by cos²x

[tex] \frac{sin^2x}{cos^2x} + \frac{cos^2x}{cos^2x} = \frac{1}{cos^2x} [/tex]

[tex] \frac{sinx}{cosx} = tanx[/tex] so [tex] \frac{sin^2x}{cos^2x} = tan^2x[/tex]
and
[tex] \frac{1}{cosx} = secx [/tex] so [tex] \frac{1}{cos^2x} = sec^2x[/tex]

Therefore,
tan²x + 1 = sec²x
Take tan²x to the other side {You will have the same answer}

1 = - tan²x = sec²x or sec²x - tanx = 1

In Mr. Sheldon’s physical education class, each student plays at most 1 sport.
A total of 20 students play soccer or basketball.
Given that 1/3 of the students play soccer, and 8 play basketball, how many students in Mr. Sheldon’s class play neither soccer nor basketball?

I have no idea how to calculate. I will reward the right answer along with explanation of how it was figured. (I attached a pic of the multiple choices) Thanks!

Answers

20 students play soccer or basketball and 8 students play basketball, then 20-8=12 students play soccer.

Given that 1/3 of the students play soccer you can conclude that 1\3 is equal 12 student, then in class totally are 12*3=36 students.

36-20=16 students play neither soccer nor basketball

Answer: Correct choice is B.

The areas of two similar octagons are 112 in.² and 63 in.². What is the ratio (larger to smaller) of their perimeters?
16/3
4/9
16/9
4/3,

Answers

When the figures are similar, we have by definition:
For the area:
A1 = (k ^ 2) * A2
For the perimeter
P1 = k * P2
Note: The factor k is the same in both cases
Where,
k = growth factor (k> 1) or reduction (k <1)
Substituting values we have:
12 = (k ^ 2) * 63
Let's clear k:
k = root (112/63)
k = 4/3
Answer:
The ratio (larger to smaller) of their perimeters is:
k = 4/3

The answer is k = 4/3You have to consider the definition of "k"
k = growth factor (k> 1) or reduction (k <1)

Area1= (k ^ 2) * Area2Perimeter1 = k * Perimeter2
Substitute: 12 = (k ^ 2) * 63 k = sqaure root (112/63) k = 4/3

what is x in the equation
4(x+6)= 5(x+9)+4x?

Answers

Hello there!

4(x + 6) = 5( x + 9) + 4x

We wanna start with the distributive property

(4)(x) + (4)(6) = (5)(x) + (5)(9) + 4x

4x + 24 = 5x + 45 + 4x

4x + 24 = 9x + 45

Subtract 24 on both sides

4x + 24 - 24 = 9x + 45 - 24

4x = 9x + 21

Subtract 9x on both sides

4x - 9x = 9x + 21 - 9x

-5x = 21

Divide both sides by -5

-5x/-5 = 21/-5

x = -21/5

Which transformations are rotations?
Choose all answers that are correct.

Answers

the pic doesn't show totally

I can't really see clearly but the second picture is definitely a transformation and if the first picture is on a graph then that is also a transformation

solve - 2 x 3 + 22 - 8 - 2 =

in a exponent 3 + 3 + 3 + 3 + 3

Answers

- 2(3) + 22 - 8 - 2=
-6 + 12 =
6

3 + 3 + 3 + 3 + 3 = 15

3 x 3 x 3 x 3 x 3 = 3^5 (because there are 5 threes multiplied together)

-2x^3 + 22 - 8 - 2 =
-2x^3 + 12

hope this helps

2 x 3 = 6

6 + 22 = 28

28 - 8 = 20

20 - 2 = 18

3 + 3 + 3 + 3 + 3 as a exponent is [tex]3^{5} [/tex]

Because it says 3 5 times!

Hope this helped!

Calculate the altitude of a triangle corresponding to its shortest side of it's area is 720cm², perimeter is 180cm and two of its sides are 80cm and 18cm.

Answers

Answer:
altitude = 80 cm

Explanation:
1- getting the third side:
We are given that:
perimeter of the triangle is 180 cm
Two of its sides are 80 cm and 18 cm
This means that:
180 = 80 + 18 + third side
third side = 180 - (80+18)
third side = 82 cm

2- deducing the shortest side that we will use to get the altitude:
We have the three sides of the triangle 80 cm, 18 cm and 82 cm
It is obvious that the shortest side is 18 cm
We will use this side to calculate the altitude since we are given that the altitude corresponds to the shortest side.

3- getting the altitude:
area of triangle = 0.5 * base * altitude
We have:
area of triangle = 720 cm²
base = 18 cm
Substitute to get the altitude as follows:
720 = 0.5 * 18 * altitude
720 = 9*altitude
altitude = 80 cm

Hope this helps :)

Solve for x under the assumption that x > 0. Enter your answer in interval notation using grouping symbols.

x−24/x<10,

Answers

Starting with x−24/x<10 multiply everything by x. x^2-24<10x Subtract 10x from both sides. x^2-10x-24 < 0 Factor. (x-12)(x+2) < 0 (x+2) is always positive since x > 0, but (x-12) is negative when x is a value between 0 and 12. This negative value for (x-12) satisfies that the left side is less than 0. Thus the solution set for x is (0,12).

The solution for the set would be: x is (0,12).

What is the solution?

To arrive at the solution, we would first move the constant term to the right side as follows;

x - 24/x < 10

x < 10 + 24/x

We then multiply both sides by x to eliminate the fraction:

x² < 10x + 24

Collect all terms to one side;

x² - 10x - 24 < 0

Factorize

(x - 12)(x + 2) < 0

So, x - 12 is positive when x > 12 and negative when x < 12.

x + 2 is positive for all values of x > 0.

Other Questions

Please help ill medal and fan!After 15 minutes, 30 g of a sample of polonium-218 remain uncharged. If the original sample had a mass of 960 g, what is the half-life of polonium-218?AndSuppose you want to separate the leaves, acorns, and twigs from a pile of soil. Filtration and distillation are two processes of separating mixtures. Explain which process you would use and why. Ellen has a $19,750 balance on a credit card with an APR of 18%. If she makes minimum monthly payments of $300, how much will it cost Ellen to repay the total amount on the credit card? $ Match the innovators with the effects of their contributions.A. Eli Whitney B. James Watt C. Jethro Tull Pairs I. Decreased the amount of coal needed to pump water out of mines II. Reduced the number of workers needed to plant crops III. Led to an increased demand for labor on cotton plantations A cafe offers senior citizens a 15% discount off its regular price of $8.95 for the dinner buffet. How much of a discount does a senior citizen receive off of the $8.95 price? How did early Chinese farmers use their natural environment to help themselves? which English word has the same sound as the Spanish letter n? panda phantombananacanyon@One098, A monatomic ideal gas expands slowly to twice its original volume, doing 280 j of work in the process. find the heat added to the gas if the process is isothermal. Use the Law of Sines to find the missing side of the triangle. Find b. Madame Pickney has a rather extensive art collection and the overall value of her collection has been increasing each year. Three years ago, her collection was worth $400,000. Two years ago, the value of the collection was $440,000 and last year, the collection was valued at $484,000. Assume that the rate at which Madame Pickneys art collections value increase remains the same as it has been for the last three years. The value of the art collection can be represented by a geometric sequence. The value of the collection three years ago is considered the first term in the sequence. What explicit rule can be used to determine the value of her art collection n years after that? Let f(x)=x^23x4 .What is the average rate of change from x = 7 to x = 10?Enter your answer in the box. Plzzzzzzzzzzzzzzzzzzz Could 10.5 cm, 8.0 cm, and 4.0 cm be the side lengths of a triangle? Todays families are classified as single-parent, extended, blended, foster, or _____families. HELP PLSLet f(x)=2/5 x^22 . The function g(x) is a vertical stretch of f(x) by a factor of 2. What is the equation of g(x)?Enter your answer in the box. Allowed for factory inspection and enforcement of child labor laws Which zone of the ocean is most hospitable to life? Psychologists have an obligation to provide treatment that is A.easy to implementB.comfortable for the therapistC.most effectiveD.shortest in durationPoints earned on this question: 2 Write a function named righttriangle() that accepts the lengths of two sides of a right triangle as the arguments a andb. imagine that a tank is filled with water the hight of the liquid column is 7 meters and the area is 1.5 sq meters (m). what's the force of gravity acting on the column of water. Which event created barriers in the path toward democracy in Haiti?