Which function represents exponential growth?

f. y=35 x¹.³⁵

g. y=35 . (0.35)ˣ

h. y=35 .(1.35)ˣ

i. y=35 \div(1.35)ˣ

The value of y when x = 17 is 2.80 .

Given,

y varies inversely as the square of x

we know that

If y varies inversely as the square of x

then

the equation is equal to

yx² = k

where

k is the constant of proportionality

step 1

Find the constant k

For y=10, x=9

substitute the given values

10 * 9² = k

k = 810

Thus,

we have the equation,

yx² = 810

step 2

Find the value of y when the value of x=17

substitute in the equation

y * 17² = 810

y = 2.80

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The market rate of return on the Dayton Rapur stock is approximately 4.59%.

To calculate the market rate of return on the Dayton Rapur stock, we need to use the dividend discount model (DDM). The DDM calculates the present value of expected future dividends and divides it by the current stock price.

First, let's calculate the expected dividend for the next year. The annual dividend is $2.17 per share, and it increases by 2.56% annually. So the expected dividend for the next year is:

Expected Dividend = Annual Dividend * (1 + Annual Dividend Growth Rate)

Expected Dividend = $2.17 * (1 + 0.0256)

Expected Dividend = $2.23

Now, we can calculate the market rate of return using the DDM:

Market Rate of Return = Expected Dividend / Stock Price

Market Rate of Return = $2.23 / $48.49

Market Rate of Return ≈ 0.0459

Finally, we convert this to a percentage:

Market Rate of Return ≈ 0.0459 * 100 ≈ 4.59%

Therefore, the market rate of return on the Dayton Rapur stock is approximately 4.59%.

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Answer:

How much buttons is on it.

Step-by-step explanation:

If three you can make 17 puppets.

Answer:

B

Step-by-step explanation:

The chi-square test statistic is 5.2 in the given question.

The sum of the squared differences between the observed measures and the expected measures, divided by the number of observations, is used to calculate the chi-square test statistic.

The expected measure for this problem is of:

20.

The observed measures were of:

28, 20, 18, 14.

Hence the test statistic is calculated as follows:

1/20[(28 - 20)² + (20 - 20)² + (18 - 20)² + (14 - 20)²] = 5.2.

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1. Null hypothesis: The mean age of purchasers and non-purchasers of toothpaste is the same. Alternative hypothesis: The mean age of purchasers and non-purchasers of toothpaste is significantly different.

2. The test statistic T can be calculated using the formula T = (X1 - X2) / (S1^2/n1 + S2^2/n2)^0.5, where X1 and X2 are the mean ages of purchasers and non-purchasers, S1 and S2 are the standard deviations of purchasers and non-purchasers, and n1 and n2 are the sample sizes. In this case, T = (37.21 - 30.7) / (6.612/50 + 8.35^2/50)^0.5 = 4.035.

3. The p-value can be calculated using a t-distribution with 98 degrees of freedom (since we have two samples of size 50 and therefore 98 degrees of freedom). Using Excel, the p-value is 0.0001.
4. The critical value can be found using a t-distribution with 98 degrees of freedom and a significance level of 0.01. Using Excel, the critical value is 2.364.

5. Since the calculated test statistic (T = 4.035) is greater than the critical value (2.364), we reject the null hypothesis and conclude that the mean age of purchasers and non-purchasers of toothpaste is significantly different at the 1% significance level.

6. Therefore, we can conclude that age is a significant factor in determining whether someone purchases toothpaste or not. Further research may be necessary to investigate other factors that may influence purchasing decisions. The attached Excel file includes all calculations and output.

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For the normal distribution, 99.7% of the data falls within 3 standard deviations of the mean, the given statement is false.

According to the Empirical rule, approximately 99.7% of all of the data values will lie within 3 standard deviations of each side of the mean. Therefore given statement is false.

The empirical rule likewise alluded to as the three-sigma rule or 68-95-99.7 rule, is a measurable decision that expresses that for a typical conveyance, practically completely noticed information will fall inside three standard deviations (indicated by σ) of the mean or normal (signified by µ).

Specifically, the exact decision predicts that 68% of perceptions fall inside the primary standard deviation (µ ± σ), 95% inside the initial two standard deviations (µ ± 2σ), and 99.7% inside the initial three standard deviations (µ ± 3σ).

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Answer:

its 4√2i i think

Step-by-step explanation:

Answer:

Answer:B

Step-by-step explanation:

Prove: <br>

cosec2 A-cos2 A=sec2A -sin2 Atan2A

Answer:

B. s + p > 5, $21.49s + $36.99p < $350

Step-by-step explanation:

Let us represent

Sweater = s

Pants = p

For her birthday, Samantha received a gift card, with a value of $350, to a department store.

She wants to purchase at least 5 articles of clothing for work.

At least means , More than 5 articles of clothing

Hence:

s + p > 5

At the store, sweaters cost $21.49 each and dress pants cost $36.99 each. If Samantha does not spend more than the amount on the gift card

She does not spend more than $350

This means , she spends less than $350

Hence:

$21.49s + $36.99p < $350

Option B is the correct answer

B. s + p > 5, $21.49s + $36.99p < $350

Answer:

Kenny found 80% of the eggs.

Step-by-step explanation:

(4 ÷ 5) × 100 = x

0.8 × 100 = x

80% = x

Kenny found 80% of the eggs.

The amount in the account after 5 years is $33798.48

Given the following parameters

Principal = $27,000

Rate r = 4.5% = 0.045

Time n = 5 years

The formula for finding compound interest is expressed as:

A = P(1 + r/n)^nt

A = 27,000(1 + 0.045/12)^12(5)

A = 27,000(1 + 0.00375)^60
A = 27,000(1.00375)^60
A = 27,000(1.2518)
A = $33798.48

Hence the amount in the account after 5 years is $33798.48.

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Answer:

The answer is x = 2. To solve for x, divide both sides of the equation by 8 to get x = 16/8 = 2.

Step-by-step explanation:

Answer:

\(8x = 16 \\ x = 16 - 8 \\ x = 8\)

Answer:

1. 1.5. 2.negitive 3. reciprocal hope it helps so sorry if its wrong

An assumption made about the value of a population parameter is called a hypothesis.

What is null hypothesis?

In inferential statistics, the null hypothesis is that 2 possibilities are an equivalent. The null hypothesis is that the determined distinction is because of likelihood alone. mistreatment applied mathematics tests, it's doable to calculate the chance that the null hypothesis is true.

Main Body:

As we need to make an assumption about population , it could be done by using a hypothesis test. so , the incorrect options are identified below:

The confidence, significance and normal curve cannot be used to make the assumptions about the value of a population parameter.

Hence , An assumption made about the value of a population parameter is called a hypothesis.

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The value of the given and completed expression in this problem is

-1

Combined operations are defined as a set of operations applied to the same problem, for example addition, subtraction, multiplication, are frequently used in arithmetic polynomials.

In this case we have an arithmetic polynomial.

We complete the expression as follows:

1 + 2 - 3 + 4 - 5

We group the positive terms on one side and negative terms on the other:

The value of the expression (1 + 2 - 3 + 4 - 5) is -1

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Answer:

1. CEF = 66 degress

2. JK = 8

   GH = 16

Step-by-step explanation:

Part 1

Since triangle DEF is formed by connecting midpoints of side of triangle ABC, according to midpoint theorem, the sides of triangles DEF parallel to sides os triangles ABC

so angle CEF is congruent to angle ABC = 66 degrees

Part 2

According to midpoint theorem: JK = 1/2GH

since 5x - 12 = 1/2(5x - 4)

2(5x - 12) = 5x - 4

10x - 24 = 5x - 4

10x - 5x = 24 - 4

5x = 20

x = 4

so JK = 5x - 12 = 5(4) - 12 = 8

GH = 5x - 4 = 5(4) - 4 = 16

If a laptop computer regularly cost $1096 and it’s on sale for $736 what percentage discount is being given round your answer to the nearest hundredth when necessary

step 1

Find out the difference

1096-736=$360

step 2

In this problem

$1,096 represent the 100%

so

applying proportion, find out how much percentage represent the difference

100%/1,096=x/360

solve for x

x=100*360/1,096

Answer:16(1+2)

Step-by-step explanation:

Number of bottles of paint needed to paint 70 ornaments is 112.

The area of a three dimensional object on it's outer surface is called the surface area of the object

Each ornament is made up of two identical cones.

A cone has a circular base and a lateral surface

Surface area of base = πr², where r is the radius

Lateral surface area of the cone = πrl, where r is radius and l is slant height.

Total surface area of a cone = πr² + πrl = πr (r + l)

There are 2 identical cones for an ornament.

Surface area of an ornament = 2πr (r + l)

                                                = 2π × 3.3 (3.3 + 8.6)

                                                = 246.6156 cm²

Surface area of 70 ornaments = 70 × 246.6156 cm²

                                                  = 17263.092 cm²

Bottle of paint for 155 cm² = 1

Bottle of paint for 17263.092 cm² = 17263.092 / 155

                                                        = 111.374

                                                        ≈ 112

Hence Dona needs approximately 112 bottles of paint.

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Answer:

(1;33),(2;66),(3;99),(4;132),(5;165)

Step-by-step explanation:

Just plot those points onto the graph and and draw a line from 0 and through all the points.

To find the directional derivative of f(x, y, z) = xy + z' at the point P = (5,-5,-1) in the direction pointing to the origin, we first need to find the unit vector in the direction pointing to the origin from P.

Let Q = (0,0,0) be the origin. Then the vector pointing from P to Q is given by:

v = Q - P = (0-5,0-(-5),0-(-1)) = (-5,5,-1)

To find the unit vector in the direction of v, we divide v by its magnitude:

||v|| = sqrt((-5)^2 + 5^2 + (-1)^2) = sqrt(51)

So the unit vector in the direction of v is:

u = v / ||v|| = (-5/sqrt(51), 5/sqrt(51), -1/sqrt(51))

Now we can find the directional derivative of f at P in the direction of u:

D(P) = ∇f(P) · u

where ∇f(P) is the gradient of f at P, given by:

∇f(P) = (∂f/∂x, ∂f/∂y, ∂f/∂z)(P) = (y,x,1)(P) = (-5,5,1)

(Note that z' = 1, since z is not a variable in the function.)

So we have:

D(P) = ∇f(P) · u = (-5,5,1) · (-5/sqrt(51), 5/sqrt(51), -1/sqrt(51))

= 25/√51 - 25/√51 - 1/√51

= -1/√51

Therefore, the directional derivative of f(x, y, z) = xy + z' at the point P = (5,-5,-1) in the direction pointing to the origin is D(P) = -1/√5

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Answer:

8.57 explanation:

Step-by-step explanation: If Quan gets 210 dollars every 24 hours and you want to find the amount he gets every hour all you have to do is do 210 divided by 24 which you will get 8.75. So every hour he gets $8.75 every hour for his work

Answer: His Hourly rate will be $8.75.

Answer:

Step-by-step explanation:

I - E = P

-E = P - I

E = I  - P

The distance from -4 to 1 is 5 units.

The correct number line and expression to find the distance from -4 to 1 are:

Number line: -4 -3 -2 -1 0 1

Expression: |-4 - 1|

To find the distance, we subtract the smaller number (-4) from the larger number (1) and take the absolute value:

|-4 - 1| = |-5| = 5

Therefore, the distance from -4 to 1 is 5 units.

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