Find the derivative of
[tex] y = \sqrt[3]{x} [/tex]
at the point where x = 27.​

Answer:

32 years

Step-by-step explanation:

Given data

Principal= $5

Rate= 5%

FInal amount= $25

Time=???

Applying the compound interest formula for time

t= ln(A/P)/r

t= ln(25/5)/0.05

t= ln(5)/0.05

t= 1.60/0.05

t= 35 years

Hence the time is 32 years

Answer:

The answer is Exponential decay, 25% decrease

Step-by-step explanation:

In f(x) = 16(0.75)x the (0.75) does not have a 1 so it is decreasing and if it is only 75% of 16 then it would be losing 25% each time

Answer:

A = $560.00

Step-by-step explanation:

I = A - P = $60.00

Formula:

[tex]A = P(1 + rt)[/tex]

First, converting R percent to r a decimal

r = R/100 = 6%/100 = 0.06 per year.

Solving our equation:

A = 500(1 + (0.06 × 2)) = 560

A = $560.00

The total amount accrued on a principal of $500.00 at a rate of 6% per year for 2 years is $560.00.

Answer:

x = -7

Step-by-step explanation:

10x + 18 = 8x + 4

take away 4 from both sides

10x + 14 = 8x

take away 10x from both sides

14 = -2x

divide botth sides by -2

x = -7

Answer:

$ 160

Step-by-step explanation:

3/8 × n = $ 60

so, n = $ 60 ÷ 3/8

= $ 60 × 8/3

= $ 160

so, Mikayla's savings = $ 160

Answer:

2x² + 6x + 15 = 0

Step-by-step explanation:

Given quadratic equation is,

-2x² - 6x = 15

We have to convert this equation in the standard form of the quadratic equation,

ax² + bx + c = 0

(-2x² - 6x) = 15

-2x² - 6x - 15 = 0

2x² + 6x + 15 = 0

Answer:

a)  0

b) -5

Step-by-step explanation:

We want to find f(x) = -4

This means find the value of x  where y=-4

The value of x  where y=-4 is x=0

Then find f(2)

This means find the value of y when x =2

The value of y when x=2 is -5

Inequality Form:

− 1 ≤ x ≤ 2

Interval Notation:

[ − 1 , 2]

Graph:

Answer:

- 1 ≤ x ≤ 2

Step-by-step explanation:

Given

- 3 ≤ 5x + 2 ≤ 12 ( subtract 2 from each interval )

- 5 ≤ 5x ≤ 10 ( divide each interval by 5 )

- 1 ≤ x ≤ 2

Answer:

11.4 metres

Step-by-step explanation:

Use Pythagoras theorem for a right-angled triangle

a^2 + b^2 = c^2

if you cut the rectangle in half, it will become a right angled triangle.

a and b are two sides of the rectangle, while c is the diagonal or hypothenuse

so 9^2 + 7^2 = c^2

81 + 49  = c^2

c^ 2 = 130

square root 130 = c

you should get approximately 11.4 metres

Answer:

y= - 1/2x - 4

Step-by-step explanation:

I know you need it quick

Answer:

26

Step-by-step explanation:

N = 4a + 6b ​

Let a=2 and b=3

N = 4*2 + 6*3

Multiply

N = 8+18

Add

N =26 ​

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

Given,

[tex]a = 2 \\ b = 3[/tex]

So,

[tex]N = 4a + 6b \\ N = 4(2) + 6(3) \\ N = 4 × 2 + 6 × 3 \\ N = 8 + 18 \\ N = 26[/tex]

⎇ The value of N is 26.

Answer:

13c + 1

Step-by-step explanation:

4c + 2 + 4c + 1 + 2c + 3c - 2

8c + 5c + 3 - 2

13c + 1

Step-by-step explanation:

Dave + 6 friends = 7 friends in total

84 ÷ 7 = 12

Each friend paid $12

Each of them paid $12 for the Meal.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

We have,

Dave and 6 friends went to dinner.

Total amount of meal= $84

So, each of them paid

= 84/ 7

= 12

Thus, each of them paid $12.

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Answer:

Answer in this link

bit / ww.com

The answers of questions given are explained .

Revenue is the money generated from normal business operations, calculated as the average sales price times the number of units sold. It is the top line (or gross income) figure from which costs are subtracted to determine net income. Revenue is also known as sales on the income statement.

Total Revenue = Number of Units Sold X Cost Per Unit

According to the question

a> The company wants to reduce total expenses to $1,300.

Then expenses would i cut is from

Rent expenses as all other expenses are very important but we can try to lower out rent expenses by $1,300.

b>After the decision the impact will be on profit is

It will increase our profit by $1,300 as

Profit = Sales - Expenses  

c>if the company increases prices 20%

i.e

If price will be increases then revenue will also increase by 20%

As  Total Revenue = Number of Units Sold X Cost Per Unit

Therefore ,

Total Revenue = 356500 * 1.2

                         = 427800

d> If the cost of supplies (inputs) decreases,

The impact on profit is it will increase

as if cost of supplies decreases that is it will decrease the supplies expenses also which will cost in less expense and higher profit .

e> If the supply of a product goes down,

It will lower the revenue or sales also

as Total Revenue = Number of Units Sold X Cost Per Unit  

But if supply of a product goes down and price per unit  increase it will maintain the sales or revenue  .

Hence, The answers of questions given are explained .

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Answer:

1st answer is correct

Step-by-step explanation:

JL

hope this helps you

can I have the brainliest please?

Answer:

-15x - 12 + 9x^2

Step-by-step explanation:

(-7x - 5) - (-9x^2 + 8x + 7)

-7x - 5 + 9x^2 - 8x -7

-15x - 12 +9x^2

what is that 2 by the 9x

We will simplify the given expression to get:

9x^2 - 15x - 12

Here we have the expression:

(-7x - 5) - (-9x^2 + 8x + 7)

To simplify it, we just perform the difference between the polynomials:

-7x - 5 + 9x^2 - 8x - 7

Now we group terms with correspondent powers of x:

9x^2 + (-7x - 8x) + (-5 - 7)

Now we simplify this:

9x^2 - 15x - 12

This is the quadratic equation simplified.

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The inverse of the function for  [tex]g^{}(x) = \frac{x^{3} }{8}+16[/tex]  is  [tex]g^{-1}(x)=2\sqrt[3]{x-6}[/tex]

"The inverse function of a function f (also called the inverse of f ) is a function that undoes the operation of f. The inverse of f exists if and only if f is bijective, and if it exists, is denoted by  [tex]f^{-1}[/tex]."

We have

[tex]g^{}(x) = \frac{x^{3} }{8}+16[/tex]

Replace g(x) with y

[tex]y =[/tex] [tex]\frac{x^{3} }{8}+16[/tex]

Interchange the variables

[tex]x= \frac{y^{3} }{8}+16[/tex]

Rewrite the equation as

[tex]\frac{y^{3} }{8}+16= x[/tex]

⇒[tex]\frac{y^{3} }{8}= x-16[/tex]

Multiply both sides of the equation by 8

[tex]8.\frac{y^{3} }{8}=8(x-16)[/tex]

⇒[tex]{y^{3} }=8(x-16)[/tex]

⇒[tex]{y^{3} }=8x-128[/tex]

⇒[tex]{y} }=\sqrt[3]{8x-128}[/tex]

⇒[tex]{y} }=2\sqrt[3]{x-6}[/tex]

Replace y with [tex]g^{-1}(x)[/tex]

⇒[tex]g^{-1}(x)=2\sqrt[3]{x-6}[/tex]

Hence, The inverse of the function for  [tex]g^{}(x) = \frac{x^{3} }{8}+16[/tex] is  [tex]g^{-1}(x)=2\sqrt[3]{x-6}[/tex]

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Answer: -1.8 and 11.4

Step-by-step explanation:

Trust me or don’t lol

Answer:

D. 2.6 and 7

Step-by-step explanation:

Plato course, did the test

Answer:

3. is a functions and 4 isnt

Step-by-step explanation:

Answer:

P = 131 degrees

Step-by-step explanation:

We know that the sum of the interior angles of a triangle is 180 degrees

The exterior angles shown form a straight line with the corresponding interior angle

So the two interior angles can be calculated

The sum of two angles on a straight line is 180 degrees

By subtracting the exterior angles from 180, we can get the two interior angles which we can add to the angle at P to give 180

Thus;

P + (180-162) + (180-149) = 180

P + 18 + 31 = 180

P = 180-31-18

P = 131

Answer:

y=68.38172757

Step-by-step explanation:

Take the inverse cosine of both sides of the equation to extract  

y from inside the cosine.

y=arccos(7/19)

y=68.38172757

The cosine function is positive in the first and fourth quadrants. To find the second solution, subtract the reference angle from  

360 to find the solution in the fourth quadrant. y=360−68.38172757

y=68.38172757+360n,291.61827242+360n, for any integer n

Answer:

C

Step-by-step explanation:

This method is the best because it will survey the customers under one condition : every 10. If the store gets a lot of customers, then this should be easier to do. The rest are mostly dependent on what they do and that influences the survey. However, C makes it so that every 10 people are surveyed.

Answer:

A isnt the correct answer. B doesnt seem reasonable because its one specific item. D means they arent exactly a customer since they didnt buy anything therefore the answer would be C

C is your answer.

not sure about it tho but its what i would put

Answer:

A statistical question

Step-by-step explanation:

A statistical question is a question that can be answered by collecting data that vary. For example, “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question.

Answer:

√(8×32)

√(256)

[tex]16[/tex]

[tex]is \: your \: answer[/tex]

I hope it helps

have a nice day

#Captainpower

Using translation concepts, the function whose graph is plotted is given by:

y = 0.5cos(x).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the y-intercept is different of zero, hence it is a cosine function. The amplitude is of 0.5, hence the function is multiplied by 0.5, that is, y = 0.5cos(x), which means that option C is correct.

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Answer:

B

Step-by-step explanation:

Answer:

pemdas (parentheses, exponents, multiplication, division, addition, subtraction) so you subtract what's in the parentheses (7.4 - 3.6)

Answer:

They will meet in 2.25 hours or 2 hours 15 minutes

Step-by-step explanation:

At any point in time;

distance = speed * time

Let the number of hours at which they meet be x

In x hours, the distance traveled by Karen will be 59 * x = 59x miles

In same x hours, the distance traveled by Ricardo will be 65 * x = 65x miles

Since they are traveling in opposite directions, the distance traveled at that time by Karen will be less than what Ricardo has traveled since he is traveling at a greater speed

However, the sum of whatever they have traveled will be equal to the distance between them

thus;

59x + 65x = 279

124x = 279

x = 279/124

x = 2.25 hours

Answer:

Its A. 35.3°

Step-by-step explanation:

if its wrong let me know so I can see what I did wrong

THE ANSWER IS C

its asking the percentage of cats that are no more than 7 pounds