Which equation represents an exponential function with an initial value of 500?

Answer:

9 times

Step-by-step explanation:

hope this helps

Answer:

9

Step-by-step explanation:

Mathematically, 9, although reality wise, you could flip the coin and get heads every time, or the opposite.

I think you mean mathematically though, so yes, it would be 9.

Answer:

100

Step-by-step explanation:

3.

[tex]y=\sec^3x+\cot^2(2x)[/tex]

Use the chain rule:

[tex]y'=(\sec^3x)'+(\cot^2(2x))'[/tex]

[tex]y'=3\sec^2x(\sec x)'+2\cot(2x)(\cot(2x))'[/tex]

[tex]y'=3\sec^2x(\sec x\tan x)-2\cot(2x)\csc^2(2x)(2x)'[/tex]

[tex]y'=3\sec^3x\tan x-4\cot(2x)\csc^2(2x)[/tex]

4.

[tex]y=\sin(cos(3x))[/tex]

Same as before:

[tex]y'=(\sin(\cos(3x)))'[/tex]

[tex]y'=\cos(\cos(3x))(\cos(3x))'[/tex]

[tex]y'=-\cos(\cos(3x))\sin(3x)(3x)'[/tex]

[tex]y'=-3\cos(\cos(3x))\sin(3x)[/tex]

Step-by-step explanation:

a. 81 ÷ 9 = 9

b. 40 ÷ 5 = 8

c. 21 ÷ 3 = 7

d. 54 ÷ 6 = 9

e. 42 ÷ 7 = 6

f. 63 ÷ 9 = 7

g. 36 ÷ 4 = 4

h. 45 ÷ 9 = 5

i. 39 ÷ 3 = 12

j. 24 ÷ 6 = 4

Answer:

0.13

Step-by-step explanation:

1/10 + 3/100 =

10/100 + 3/100 =

13/100

Hope that this helps you and have a great day:)

Answer:

33.60

Step-by-step explanation:

First determine the discount

40 * 20%

40 *.2 =8

The discount is 8

40-8 = 32

The shirt was 32 dollars before tax

Now find the tax

32 * 5%

32*.05 =1.60

Add the tax to the sale price

32+1.60

33.60

Answer:

33.6

Step-by-step explanation:

40-20%=32

32+5%=33.6

9514 1404 393

Answer:

  216 = 2³·3³ = 8·3³ = 27·2³

Step-by-step explanation:

6³ = 2·2·2·3·3·3

The string of factors can be grouped however you like, and any repeated factors in the group can be expressed using an exponent.

  = 2·2²·3³

  = 8·3³

  = 6·2²·3²

  = 6·6²

  = 27·2³

Answer:

6 inches per 1/2 of an hour

Step-by-step explanation:

in between 4 pm and 5 pm, the water level grows by 12 inches. in between 3:30 pm and 4 pm, the water level grows by 6 inches.

Answer:

173.15 yards is the distance from tee to hole.

Step-by-step explanation:

Please refer to the image attached.

Let A is the position of tee and where the golfer is standing.

C is the position of hole.

CB is the vertical distance between greens and tee.

Angle of elevation, [tex]\angle BAC = 12^\circ[/tex]

To find: side AC.

Using trigonometric functions, we know that value of sine is:

[tex]sin\theta = \dfrac{\text{Perpendicular}}{\text{Hypotenuse}}[/tex]

Here [tex]\theta = \angle BAC = 12^\circ[/tex]

Perpendicular is side CB.

Hypotenuse is side AC.

[tex]sin12^\circ = \dfrac{\text{CB}}{\text{AC}}\\\Rightarrow \text{CB} = \dfrac{36}{sin12^\circ}\\\Rightarrow \text{CB} = 173.15\ yards[/tex]

Hence, 173.15 yards is the distance from tee to hole.

Answer:

0.416667

Step-by-step explanation:

divide the length value by 12

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Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached images below to see the step by step explanation to the question above.

Answer:

B; {x|x<-8}

Step-by-step explanation:

The null and alternative hypothesis for the tests are:

H0: μ = 20

Ha: μ < 20

Given data:

In this situation, the null and alternative hypotheses can be formulated as follows:

Null Hypothesis (H0): The average weight loss of consumers who take the "fat-burner" pill is equal to 20 pounds.

Alternative Hypothesis (Ha): The average weight loss of consumers who take the "fat-burner" pill is less than 20 pounds.

In symbolic notation:

H0: μ = 20

Ha: μ < 20

where μ represents the population mean weight loss of consumers who take the "fat-burner" pill.

The null hypothesis assumes that the claim made by the company is accurate and that the average weight loss is indeed 20 pounds. The alternative hypothesis challenges this claim and suggests that the actual average weight loss may be less than 20 pounds, implying that the "hype" around the pill's effectiveness might be exaggerated.

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Answer:

  7(5 +2)

Step-by-step explanation:

From our knowledge of times tables, we know that ...

  35 = 5·7

  14 = 2·7

so the greatest common factor of 35 and 14 is 7. Factoring that out, we have ...

  35 +14 = 7(5 +2)

Answer:

The common factors of 45 and 72 are 9, 3, 1

Step-by-step explanation:

Answer:

The GCF of these two numbers is nine.

Step-by-step explanation:

They share three common factors: 1, 3 and 9. The greatest out of all of those is 9. Hope this helps!

Answer: pi/3

Step-by-step explanation:

correct on edge 2020

The equivalent value of trigonometric relation sin⁻¹ ( √3/2 ) = π/3

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the trigonometric relation be represented as A

Now , the value of A is

sin⁻¹ ( √3/2 ) = θ

Now , the value of θ is calculated by

In a triangle , sin θ = opposite / hypotenuse

So , sin θ = √3/2

The value of θ = 60°

So , the measure of 60° in radians is θ = π/3

Hence , the value of θ from the trigonometric relation is π/3

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Answer:

The point (2, -1 ) is not on the graph of the line.

Step-by-step explanation:

3x–4y–12=0

3*2 - 4*(-1) - 12= 0

6 + 4 - 12 =0

10 - 12 = 0

- 2 = 0 , false, so the point (2, -1 ) is not on the graph of the line.

Answer:

height = 140.875m

Step-by-step explanation:

Volume of first pyramid= base * height /3 = 230*147/3= 11270

if the base is 240, volume is remain -> height = volume *3 /base

                                                                            = 11270*3/240 =140.875m

Answer:

  see below for a graph

Step-by-step explanation:

To draw a graph on a grid, locate the point (4, -2) and use the slope to find another point. One such point will be 1 to the left and up 3*, at (3, 1). With two points, you can draw the line through them to complete the graph.

__

For a graphing tool that requires an equation, the point-slope form of the equation can be used:

  y -k = m(x -h) . . . . . a line of slope m through point (h, k)

For the given slope and point, the equation of the line is ...

  y +2 = -3(x -4)

  y = -3x +10

_____

* The slope is "rise" over "run". The slope of -3 means that a run of +1 will result in a rise of -3. The given point is already below the x-axis, so we don't really want to find more points farther down. In order to go up on a line with negative slope, we must choose a point to the left of the given one.

Answer:

The new rule has a higher salary level for exemption from overtime, at $684 a week. This means that lower-pay exempt employees may qualify for overtime.

Step-by-step explanation: this is your answer plz rate e the most brainlest

Answer:

200; 80% of 250 is 200

Answer:

Step-by-step explanation:

200

Answer:

AAA

Stp-by-step explanation:

Step-by-step explanation:

base is 6 in

height is 4 in

to get the area of a triangle is 1/2base×height

being 1/2(6)(4)=12

to get the area of a rectangle is length×width being 9×8=72

By observing the given figure,

The base(b) of a triangle is 6 inches

The height(h)  of  a triangle is 4 inches

The area of the triangle is 12 square inches

The area of the rectangle is 72 square centimeter

A triangle is a polygon with three edges and three vertices

A rectangle is a quadrilateral with four right angles

Area is the quantity that expresses the extent of a region on the plane or on a curved surface

From the given figure

The base(b) of a triangle is 6 inches

The height(h)  of  a triangle is 4 inches

The area of a triangle = [tex]\frac{1}{2}bh[/tex]

=[tex]\frac{1}{2}(6)(4)[/tex]

=12 square inches

Length of the rectangle = 8 centimeter

Width of the rectangle = 9 centimeter

Area of the rectangle = l × w = 9×8=72 square centimeter

Hence,

The base(b) of a triangle is 6 inches

The height(h)  of  a triangle is 4 inches

The area of the triangle is 12 square inches

The area of the rectangle is 72 square centimeter

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Answer:-1

Step-by-step explanation:

2(3x-4)+x-1=-16

Open brackets

6x-8+x-1=-16

Collect like terms

6x+x=-16+1+8

7x=-7

Divide both sides by 7

7x ➗ 7=-7 ➗ 7

x=-1

Answer:

x = -1

Step-by-step explanation:

Domain (infinity,infinity)

Range (infinity,[tex]\sqrt{7}[/tex])

Answer:

Height  = 5

Step-by-step explanation:

Answer:

(k-10h) (k+10h)

Step-by-step explanation:

k^2 - 100h^2

Rewriting as

k^2 - (10h)^2

We recognize this as the difference of squares

We know the difference of squares is factored as a^2 -b^2 = (a-b)(a+b)

(k-10h) (k+10h)

Answer:

(k-10h) (k+10h)

Step-by-step explanation:

Answer:

The athlete will run 200 kilometers.

A atleta percorrerá 200 quilômetros no total.

Step-by-step explanation:

She will run x kilometers.

She has already run 5/8 of the distance(5/8 of x), and still needs to run 75 kilometers.

So

[tex]\frac{5x}{8} + 75 = x[/tex]

[tex]x - \frac{5x}{8} = 75[/tex]

[tex]\frac{8x - 5x}{8} = 75[/tex]

[tex]3x = 8*75[/tex]

[tex]x = \frac{8*75}{3}[/tex]

[tex]x = 200[/tex]

The athlete will run 200 kilometers.

A atleta percorrerá 200 quilômetros no total.

Answer:B. Between 62​% and 78​% of all orders arrive on time. State whether the conclusion is correct or not and explain why. Choose the correct answer below.

Step-by-step explanation:

A catalog sales company promises to deliver orders placed on the Internet within 3 days. Follow-up calls to a few randomly selected customers show that a 90% confidence interval for the proportion of all orders that arrive on time is 89% ± 6%.

a) The correct answer is A

b) The correct answer is B

c) The correct answer is C

d) The correct answer is D.

e) The correct answer is B.

Here, we have,

a) Between 83% and 95% of all orders arrive on time.

The correct answer is A. This statement is correct.

b) 90% of all random samples of customers will show that 89% of orders arrive on time.

The correct answer is B. This statement is not correct. It implies certainty, but in reality, the statement refers to the confidence interval estimate for the proportion of orders that arrive on time based on the sample.

c) 90% of all random samples of customers will show that 83% to 95% of orders arrive on time.

The correct answer is C. This statement is not correct. No more than 95% of all orders arrive on time. The confidence interval represents the range within which the true proportion is estimated to fall, but it doesn't guarantee that all intervals will cover the true proportion.

d) The company is 90% sure that between 83% and 95% of the orders placed by the customers in this sample arrived on time.

The correct answer is D. This statement is not correct. The confidence interval provides an estimate of the proportion of orders that arrive on time, not a measure of the company's certainty.

e) On 90% of the days, between 83% and 95% of the orders will arrive on time.

The correct answer is B. This statement is not correct. It implies certainty about the proportion of orders arriving on time, but the confidence interval only provides an estimate based on the sample data and does not guarantee the exact proportion for every day.

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complete question:

A catalog sales company promises to deliver orders placed on the Internet within 3 days. Follow-up calls to a few randomly selected customers show that a 90% confidence interval for the proportion of all orders that arrive on time is 89% ± 6%. What does this mean? Are the conclusions below correct? Explain.

a) Between 83% and 95% of all orders arrive on time.

b)90% of all random samples of customers will show that 89% of orders arrive on time. c) 90% of all random samples of customers will show that 83% to 95% of orders arrive on time.

d) The company is 90% sure that between 83% and 95% of the orders placed by the customers in this sample arrived on time. e) On 90% of the days, between 83% and 95% of the orders will arrive on time.

a) Choose the correct answer below.

A. This statement is correct.

B. This statement is not correct. It implies certainty.

C. This statement is not correct. No more than 95% of all orders arrive on

D. This statement is not correct. At least 83% of all orders arrive on time.

Answer:

The graph of g(x) = |x - h| + k is a translation of h units horizontally and k units vertically of the graph of f(x) = | x |.

Hope this helps.

Answer:

H units horizontally, k units vertically

Step-by-step explanation: