The function f(x) =5x coverts x nickels to pennies. Find a function that converts X Pennys to Nichols then convert 50 pennies to Nichols. 

Answers

Answer 1

Answer:

[tex]f'(x) = \frac{1}{5}x[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 5x[/tex] --- Nickel to Penny

Required

Determine the function that converts penny to nickel

This question implies that we determine the inverse of the function.

We have:

[tex]f(x) = 5x[/tex]

Represent f(x) with y

[tex]y = 5x[/tex]

Swap the positions of x and y

[tex]x = 5y[/tex]

Make y the subject by dividing both sides by 5

[tex]\frac{1}{5}x = \frac{5y}{5}[/tex]

[tex]\frac{1}{5}x = y[/tex]

[tex]y =\frac{1}{5}x[/tex]

Replace y with f'(x)

[tex]f'(x) = \frac{1}{5}x[/tex]

Hence, the function that converts x pennies to nickels is [tex]f'(x) = \frac{1}{5}x[/tex]


Related Questions

Elena is designing a paint can with thickness ttt millimeters and height hhh centimeters. She calculates that the thickness of the can in milimeters must be at least 0.1, point, 1 times the height of the can in centimeters in order to withstand pressure. Due to cost constraints, the cost of material used, (0.2 + t+ 0.5h)cents, must be at most 12.2, point, 2 cents. Which system of inequalities best models the relationship between height and thickness?

Answers

Answer:

[tex]t \ge h[/tex] and [tex]t + 0.5h \le 12.0[/tex]

Step-by-step explanation:

Given

[tex]t= thickness[/tex]

[tex]h =height[/tex]

From the first statement, we have that:

[tex]t\ mm \ge 0.1 * h\ cm[/tex]

Convert mm to cm

[tex]t\ * 0.1*cm \ge 0.1 * h\ cm[/tex]

[tex]t\ *0.1 \ge 0.1 * h[/tex]

Divide both sides by 0.1

[tex]t \ge h[/tex]

From the second statement, we have that:

[tex]Cost \le 12.2[/tex]

Substitute 0.2 + t + 0.5h for Cost

[tex]0.2 + t + 0.5h \le 12.2[/tex]

Collect Like Terms:

[tex]t + 0.5h \le 12.2-0.2[/tex]

[tex]t + 0.5h \le 12.0[/tex]

So, the inequalities are:

[tex]t \ge h[/tex] and [tex]t + 0.5h \le 12.0[/tex]

Answer: it's a, the answer

Step-by-step explanation:

12+22+32+...+102 =?

Answers

Answer:

750 is the answer. Hope it helps!

I’ll give you 15 points if you know the answers to this question


Answers

It would be B)no.

Hope This Helps!

I need the answers ASAP

Answers

Answer:

Image attached

Step-by-step explanation:

Just wandering, no hate, you can post answers on brainly but can't read an analog clock.

BTW I've got one in my house

ILL GIVE BRAINLEST !!!!

Enter an equation for the function that includes the points. Give your answer in the form a(b*). In the
event that a = 1, give your answer in the form b*.
(1, 12) and (2, 144)
The equation is f(x)=

Answers

Here ya go enjoy and I’m sorry if this isn’t what your looking for

Find two numbers whose sum is 8 and whose product is 17​

Answers

Answer:

Step-by-step explanation:

x+y = 8

y = 8-x

xy = 17

x(8-x)  = 17

8x - x² = 17

x² - 8x + 17 = 0

Quadratic formula

x = [8 ± √(8² – 4·1·17)] / [2·1]

 = [8 ± √(-4)] / 2

 = [8 ± 2i] /2

 = 4±i

x = 4+i

y = 4-i

A quadratic equation is written in the form of ax²+bx+c. The two numbers whose sum is 8 and whose product is 17​ are (4+i) and (4-i).

What is a quadratic equation?

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.

Let the first number be 'a' and the second number be 'b'. Therefore, the sum of the two numbers is,

a+b=8

The product of the two numbers is,

ab=17

b=17/a

now, the equation can be written as,

a+b=8

a+(17/a)=8

a² + 17 = 8a

a²-8a+17=0

a = 4±i

Hence, the two numbers whose sum is 8 and whose product is 17​ are (4+i) and (4-i).

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Please help me!!!!


Ernest bought some cans of paint and 4/5 of a liter of special paint additive formulated to reduce mildew. Before painting his house, he used all of the additive to put 2/5 of a liter of additive in each can. How many cans of paint did Ernest buy?

Answers

Answer:

He bought 2 cans of paint

Step-by-step explanation:

If he put ⅖ in each, and ⅘ total, he would have had 2 cans

Quantity of special paint additive Ernest bought = [tex] \tt \frac{4}{5} \: of \: a \: litre [/tex]

Quantity of additive he put in each can = [tex] \tt \frac{2}{5} \: of \: a \: litre [/tex]

Number of cans of paint he bought :

[tex] =\tt \frac{4}{5} \div \frac{2}{5} [/tex]

[tex] = \tt\frac{4}{5} \times \frac{5}{2} [/tex]

[tex] = \tt\frac{4 \times 5}{5 \times 2} [/tex]

[tex] =\tt \frac{20}{10} [/tex]

[tex]\color{plum} = \tt2 \: paint \: cans[/tex]

▪︎Therefore, Ernest bought 2 paint cans.

Find the difference.
4-(-8)=

Answers

Answer:

4

Step-by-step explanation:

subtract negative 4 by negative 8

Which graph represents the parametric equations x = 1 – t2 and y = 2t, where 0 ≤ t ≤ 5?

ANSWER: A

Answers

After plotting the above equation on the coordinate plane, we can see the graph of the function.

What are parametric equations?

A parametric equation in mathematics specifies a set of numbers as functions of one or more independent variables known as parameters.

We have two parametric equations:

x = 1 – t² and

y = 2t

t = y/2  and

0 ≤ t² ≤ 5

1 ≤ 1 - t²≤ 4

1 ≤ x≤ 4

Plug the above value in x = 1 – t²

x = 1- (y/2)²

x = 1 - y²/4

4x = 4 - y²

y² = 4(1 - x)

Thus, after plotting the above equation on the coordinate plane, we can see the graph of the function.

Learn more about the parametric function here:

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What is the discriminate of y=x^2-8x+2

Answers

Answer:

56

Step-by-step explanation: Use the values of a, b, and c to find the discriminant.

Answer:

[tex]\Delta =56[/tex]

Step-by-step explanation:

We are given:

[tex]y = x^2 - 8x + 2[/tex][tex]y=x^2-8x+2[/tex]

So, a = 1, b = -8, and c = 2.

The discriminant (symbolized by Δ) is given by:

[tex]\Delta =b^2-4ac[/tex]

So, our discriminant in this case will be:

[tex]\Delta=(-8)^2-4(1)(2)=64-8=56[/tex]

Since our discriminant is a positive value, our equation has two real roots.

I need question 4 and 5

Answers

Answer:

4) x=14

Step-by-step explanation:

multiply the area by 2 to get 140then devide by 10 to find x

solve and recieve brain list I took a better picture​

Answers

What did you say I’m confused lol

What is the factors for x squared plus 5x - 6

Answers

Answer:

=[tex](x-1)(x+6)[/tex]

Step-by-step explanation:

Answer:

[tex]x^{2} +5x-6=(x-1)(x+6)[/tex]

Step-by-step explanation:

The medical practice you are working at has seen an average of 22.4 patients a day for the past 3 months. 3/4ths of those patients have insurance in one form or another.

Answers

I think I’m total there should be over 345 patients total. So that’s how the answer is

The lifetimes of a certain brand of light bulbs are known to be normally dsitributed with a mean of 1700 hours and standard deviation of 400 hours. A random sample of 64 of these light bulbs is taken. The probability is 0.20 that the sample mean lifetime is more than how many hours?
A. 1652.
B. 1725.
C. 1752.
D. 1670.

Answers

Answer:

1742 hours

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Single light:

Mean of 1700 hours and standard deviation of 400 hours, which means that [tex]\mu = 1700, \sigma = 400[/tex]

Sample of 64:

This means that [tex]n = 64, s = \frac{400}{\sqrt{64}} = 50[/tex]

The probability is 0.20 that the sample mean lifetime is more than how many hours?

This is the 100 - 20 = 80th percentile, which is X when Z has a pvalue of 0.8. So X when Z = 0.84

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]0.84 = \frac{X - 1700}{50}[/tex]

[tex]X - 1700 = 50*0.84[/tex]

[tex]X = 1700 + 50*0.84[/tex]

[tex]X = 1742[/tex]

Steph had 24 cards . He gave 4 cars to his brother. Then he passed the rest of the cars out equally among 4 of his friends. Which operation would you use to represent he first part of this situation

Answers

Answer:

16 is the answer

I hope this answer help you

Answer:

Subtract 4 1st

Step-by-step explanation:

Subtract 4 of the cars since he gave them to his brother then divide between 4

How are these three numbers related. 50 1/2, 1/4, 202

Answers

Answer: If you divide 202/4=50.5 or 50 1/2

Step-by-step explanation:

What is the fraction shown above?

Answers

The fraction of the circle is 1/8

The graph show how the amount of fuel in the gas tank changes over time. Choose the graph that correctly combines the graphs of Car A and Car B to show when Car B has more fuel in its tank than Car A.

Answers

Answer:

its b

Step-by-step explanation:

Suppose X has an exponential distribution with mean equal to 11. Determine the following: (a) (Round your answer to 3 decimal places.) (b) (Round your answer to 3 decimal places.) (c) (Round your answer to 3 decimal places.) (d) Find the value of x such that . (Round your answer to 2 decimal places.)

Answers

Answer:

[tex]P(X > 11) = 0.368[/tex]

[tex]P(X > 22) = 0.135[/tex]

[tex]P(X > 33) = 0.050[/tex]

[tex]x = 33[/tex]

Step-by-step explanation:

Given

[tex]E(x) = 11[/tex] --- Mean

Required (Missing from  the question)

[tex](a)\ P(X>11)[/tex]

[tex](b)\ P(X>22)[/tex]

[tex](c)\ P(X>33)[/tex]

(d) x such that [tex]P(X <x)=0.95[/tex]

In an exponential distribution:

[tex]f(x) = \lambda e^{-\lambda x}, x \ge 0[/tex] --- the pdf

[tex]F(x) = 1 - e^{-\lambda x}, x \ge 0[/tex] --- the cdf

[tex]P(X > x) = 1 - F(x)[/tex]

In the above equations:

[tex]\lambda = \frac{1}{E(x)}[/tex]

Substitute 11 for E(x)

[tex]\lambda = \frac{1}{11}[/tex]

Now, we solve (a) to (d) as follows:

Solving (a): P(X>11)

[tex]P(X > 11) = 1 - F(11)[/tex]

Substitute 11 for x in [tex]F(x) = 1 - e^{-\lambda x}[/tex]

[tex]P(X > 11) = 1 - (1 - e^{-\frac{1}{11}* 11})[/tex]

[tex]P(X > 11) = 1 - (1 - e^{-\frac{11}{11}})[/tex]

[tex]P(X > 11) = 1 - (1 - e^{-1})[/tex]

Remove bracket

[tex]P(X > 11) = 1 - 1 + e^{-1}[/tex]

[tex]P(X > 11) = e^{-1}[/tex]

[tex]P(X > 11) = 0.368[/tex]

Solving (b): P(X>22)

[tex]P(X > 22) = 1 - F(22)[/tex]

Substitute 22 for x in [tex]F(x) = 1 - e^{-\lambda x}[/tex]

[tex]P(X > 22) = 1 - (1 - e^{-\frac{1}{11}* 22})[/tex]

[tex]P(X > 22) = 1 - (1 - e^{-\frac{22}{11}})[/tex]

[tex]P(X > 22) = 1 - (1 - e^{-2})[/tex]

Remove bracket

[tex]P(X > 22) = 1 - 1 + e^{-2}[/tex]

[tex]P(X > 22) = e^{-2}[/tex]

[tex]P(X > 22) = 0.135[/tex]

Solving (c): P(X>33)

[tex]P(X > 33) = 1 - F(33)[/tex]

Substitute 33 for x in [tex]F(x) = 1 - e^{-\lambda x}[/tex]

[tex]P(X > 33) = 1 - (1 - e^{-\frac{1}{11}* 33})[/tex]

[tex]P(X > 33) = 1 - (1 - e^{-\frac{33}{11}})[/tex]

[tex]P(X > 33) = 1 - (1 - e^{-3})[/tex]

Remove bracket

[tex]P(X > 33) = 1 - 1 + e^{-3}[/tex]

[tex]P(X > 33) = e^{-3}[/tex]

[tex]P(X > 33) = 0.050[/tex]

Solving (d): x when [tex]P(X <x)=0.95[/tex]

Here, we make use of:

[tex]P(X<x) = F(x)[/tex]

Substitute [tex]F(x) = 1 - e^{-\lambda x}[/tex]

[tex]P(X<x) = 1 - e^{-\lambda x}[/tex]

So, we have:

[tex]0.95 = 1 - e^{-\lambda x}[/tex]

Subtract 1 from both sides

[tex]0.95 -1= 1-1 - e^{-\lambda x}[/tex]

[tex]-0.05=- e^{-\lambda x}[/tex]

Reorder the equation

[tex]e^{-\lambda x} = 0.05[/tex]

Substitute 1/11 for [tex]\lambda[/tex]

[tex]e^{-\frac{1}{11} x} = 0.05[/tex]

Solve for x:

[tex]x = -\frac{1}{1/11}\ ln(0.05)[/tex]

[tex]x = -11\ ln(0.05)[/tex]

[tex]x = 32.9530550091[/tex]

[tex]x = 33[/tex] --- approximated

Let f(x) = 4x - 1, h(x) = - X-3.
Find (f o h)(-5).

Answers

Answer:

(f o h)(-5)=-33

Step-by-step explanation:

Let f(x) = 4x - 1, h(x) = - X-3.

(f o h)=4(-x-3)-1

(f o h)=-4x-12-1

(f o h)=-4x-13

(f o h)(-5)=-4(-(-5))-13

(f o h)(-5)=-20-13

(f o h)(-5)=-33

3/4 divided by 1/5 PLEASE ANSWER

Answers

Answer:

3.75

Step-by-step explanation:

To make it a fraction form answer, you multiply the dividend numerator by the divisor denominator to make a new numerator.

Furthermore, you multiply the dividend denominator by the divisor numerator to make a new denominator:

To make the answer to 3/4 divided by 1/5 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

15/4 = 3.75

The answer is rounded to the nearest four decimal points if necessary.

15/4 is an improper fraction and should be written as 3 3/4.

 

 

Answer:

3.75

Step-by-step explanation:

The distance from the ground to where the ladder is touching the wall is 7
feet. The distance from the wall to the base of the ladder is 4 feet. What is
the length of the ladder?
wall
ladder

Answers

Answer:

L=8.062 feet

Step-by-step explanation:

wall=7

distance=4

Pythagorean theorem

7^2+4^2=L^2

49+16=L^2

65=L^2

L=8.062 feet

The required length of the ladder is given as 8.06 feet.

What are Pythagorean triplets?  

In a right-angled triangle, its sides, such as hypotenuse, perpendicular, and base are Pythagorean triplets.

here,
As mentioned in the question,
perpendicular length = 7, base length = 4 feet,
Let the length of the ladder be x,
Following the Pythagoras theorem,
x² = 7 ² + 4²
x ² = 49 + 16
x² = 65
x = √65
x = 8.06

Thus, the required length of the ladder is given as 8.06 feet.

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Which statement is true if a is the fourth root of 16, Show your work
a x a x a x a = 16
a = 164
4a = 16
a = 16/4

Answers

Given:

The statement is " a is the fourth root of 16".

To find:

The true statement for the given statement.

Solution:

The given statement is

a is the fourth root of 16.

Mathematically, it can be written as

[tex]a=\sqrt[4]{16}[/tex]

Taking power 4 on both sides.

[tex]a^4=(\sqrt[4]{16})^4[/tex]

[tex]a\times a\times a\times a=16[/tex]

Therefore, the correct option is A.

A true statement ,  if a is the fourth root of 16 is

a x a x a x a = 16

Important Information :

'a'  is the fourth root of 16

'a' is the fourth root of 16 can be written as

[tex]a=\sqrt[4]{16}[/tex]

To remove fourth root, we take exponent 4 on both sides

[tex]a=\sqrt[4]{16}\\(a)^4=(\sqrt[4]{16})^4[/tex]

Exponent 4  and fourth root will get cancelled

[tex]a^4=16\\a \cdot a\cdot a \cdot a=16[/tex]

a x a x a x a = 16

A true statement ,  if a is the fourth root of 16 is

a x a x a x a = 16

learn more about the radicals here:

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2. Two boxes are being shipped at a facility. One
box weighs 25.09 pounds, and the other box
weighs 25.018. Which box weighs more? Explain
and prove your answer.

Answers

Answer:

i think 25.09 weighs more

Step-by-step explanation: well simply 25.018 has more decimal places down therefore making it a smaller number

sorry if you get it wrong :c

Complete the statement to illustrate the commutative property. (PLEASE ANSWER FAST FOR BRAINLIEST!!!)
10 + (9 + 11) = 10 + (11 + ___ )

a. 11
b. 20
c. 9
d. 10

Answers

Answer:

9

Step-by-step explanation:

What is the difference between the greatest and the smallest rational numbers
given below?

7/15,11/20,2/5,12/25

Answers

Answer:

The difference between the greatest and smallest rational number   [tex]=\frac{3}{20}[/tex]              

Step-by-step explanation:

Step(i):-

Given that the rational numbers

[tex]\frac{7}{15} , \frac{11}{20} ,\frac{2}{5} ,\frac{12}{25}[/tex]

we have to find that the difference between the greatest and the smallest rational numbers

solution:-

The greatest rational number  =  [tex]\frac{11}{20}[/tex]

Convert into decimal = 0.55

The smallest rational number = [tex]\frac{2}{5}[/tex]

Convert into decimal = 0.4

The difference between the greatest and smallest rational number

                     [tex]= \frac{11}{20} - \frac{2}{5}[/tex]

                     = [tex]\frac{11-8}{20}[/tex]

                    [tex]=\frac{3}{20}[/tex]

Final answer:-

The difference between the greatest and smallest rational number     [tex]=\frac{3}{20}[/tex]

             

                                           

This probability distribution shows the typical grade distribution for a Geometry course with 35 students. HELLLPPP PLSSS​

Answers

Answer:

P(A, B or C) = 6/7 or 0.8571

Step-by-step explanation:

From the image, we have the frequency for each grade as;

Grade A = 5

Grade B = 10

Grade C = 15

Grade D = 3

Grade F = 2

We want to find the probability that a student earns a grade of A, B or C.

Total frequency for A, B & C = 5 + 10 + 15 = 30

There are a total of 35 students overall for the geometry course.

Thus;

P(A, B or C) = 30/35

P(A, B or C) = 6/7 or 0.8571

Answer:

0.86

Step-by-step explanation:

Total frequency for A, B & C = 5 + 10 + 15 = 30

There are a total of 35 students overall for the geometry course.

P(A, B or C) = 30/35

P(A, B or C) = 6/7 or 0.8571

now we round to the hundredths place

0.8571 ⇒ 0.86

-2 - 5r = 18
help mee

Answers

Answer:

r = -4

Step-by-step explanation:

-2 - 5r = 18

+2         +2

––––––––

-5r = 20

/5     /5

––––––

-r = 4

/-1  /-1

–––––

r = -4

Please help me!!!!!!!!!!

Answers

it’s -1/3 (negative one third)
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