Find the inverse of the following function.
f(x) = 5√x/5

Answer:

I can't see all the options, but I think it's C or B

Jocelyn would need to save $1333.33 each year with 7% interest.

To calculate how much Jocelyn needs to save for the down payment over the next three years, we first need to determine the total down payment required. If the down payment is stated as $4000, then that is the total amount needed.

Assuming that Jocelyn wants to make the down payment in three years, we can calculate how much she needs to save each year by dividing the total down payment by three:

$4000 / 3 years = $1333.33 per year

So Jocelyn would need to save approximately $1333.33 each year for the next three years in order to have enough for the $4000 down payment.

Correct Question :

JUST $4000 DOWN PAYMENT!

LOW 7% INTEREST RATE!

5 YEARS TO REPAY YOUR LOAN!

In order to afford the down payment, how much will Jocelyn need to save for each of the next three years

To learn more about interest here:

https://brainly.com/question/30535179

#SPJ1

Answer:cap

Step-by-step explanation:C A P

Answer:

25

Step-by-step explanation:

I gallon is 4 quarts so that would be a 600 quarts oil tank so since each case is 24 quarts 600/24 = 25

150 gallons of oil is equivalent to 600 quarts. A full 150-gallon oil tank can yield 25 full cases, with each case containing 24 quarts

The concept used to solve the problem is conversion:

The conversion factor that 1 gallon is equal to 4 quarts.

Given that,

Job: Fill quart-size bottles of oil from a full 150-gallon oil tank.

Packaging: Pack 24 quarts of oil in a case to ship to a store.

Tank Capacity: The oil tank is full and has a capacity of 150 gallons.

Convert the measurements to a common unit.

Since we have to fill quart-size bottles,

Convert 150 gallons to quarts.

Since 1 gallon is = 4 quarts,

So 150 gallons would be 150 x 4 = 600 quarts.

To determine how many full cases of oil we can pack from 600 quarts. Each case contains 24 quarts.

To find the number of cases,

Divide the total number of quarts by the number of quarts per case:

600 quarts ÷ 24 quarts/case

= 25 cases.

Therefore,

You can get 25 full cases of oil from a full 150-gallon oil tank.

To learn more about the measurement unit visit:

https://brainly.com/question/777464

#SPJ4

The rate at which the depth of the liquid is increasing when the depth of the liquid reaches one-third of the height of the bowl is 1.25 cm s⁻¹.

The volume of the liquid in the bowl is given by the following integral:

\(V = \int\limitsx_{0}^{h} \, \pi r^{2}(y) dy\)

where r = radius of the bowl and y = height of the liquid.

The radius of the bowl is equal to the distance from the curve y = (4/(8-x)) - 1 to the y-axis. This can be found using the following equation:

r = √{(4/(8-x)) - 1}² + 1²

The height of the liquid is equal to the distance from the curve y = (4/(8-x)) - 1 to the x-axis. This can be found using the following equation:

h = (4/(8-x)) - 1

Substituting these equations into the volume integral:

\(V = \int\limitsx_{0}^{h } \, \pi {\sqrt{(4/(8-x)) - 1)^{2} + 1^{2} (4/(8-x))} - 1 dy\)

Evaluate this integral using the following steps:

Expand the parentheses in the integrand.

Separate the integral into two parts, one for the integral of the square root term and one for the integral of the linear term.

Integrate each part separately.

The integral of the square root term can be evaluated using the following formula:

\(\int\limits^{b} _{a} \, dx \sqrt{x} dx = 2/3 (x^{3/2}) |^{b}_{a}\)

The integral of the linear term can be evaluated using the following formula:

\(\int\limits^{b} _{a} \, {x} dx = (x^{2/2}) |^{b}_{a}\)

Substituting these formulas into the integral:

V = π { 2/3 (4/(8-x))³ - 1/2 (4/(8-x))² } |_0^h

Evaluating this integral:

V = π { 16/27 (8-h)³ - 16/18 (8-h)² }

The rate of change of the volume of the liquid is given by:

dV/dt = π { 48/27 (8-h)² - 32/9 (8-h) }

The rate of change of the volume of the liquid is 7π cm³ s⁻¹. Also the depth of the liquid is one-third of the height of the bowl. This means that h = 2/3.

Substituting these values into the equation for dV/dt:

dV/dt = π { 48/27 (8-2/3)² - 32/9 (8-2/3) } = 7π

Solving this equation for the rate of change of the depth of the liquid:

dh/dt = 7/(48/27 (8 - 2/3)² - 32/9 (8 - 2/3)) = 1.25 cm s⁻¹

Therefore, the rate at which the depth of the liquid is increasing when the depth of the liquid reaches one-third of the height of the bowl is 1.25 cm s⁻¹.

Find out more on linear equations here: https://brainly.com/question/14323743

#SPJ1

The length of side X in simple radical form with a rational denominator is 25/√3.

In Mathematics and Geometry, a 30-60-90 triangle is also referred to as a special right-angled triangle and it can be defined as a type of right-angled triangle whose angles are in the ratio 1:2:3 and the side lengths are in the ratio 1:√3:2.

This ultimately implies that, the length of the hypotenuse of a 30-60-90 triangle is double (twice) the length of the shorter leg (adjacent side), and the length of the longer leg (opposite side) of a 30-60-90 triangle is √3 times the length of the shorter leg (adjacent side):

Adjacent side = 5/√3

Hypotenuse, x = 5 × 5/√3

Hypotenuse, x = 25/√3.

Read more on 30-60-90 triangle here: brainly.com/question/30283450

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

0.4 hours

Step-by-step explanation:

or 24 minutes :D

9514 1404 393

Answer:

  C.  60%

Step-by-step explanation:

Of the 5 bowls listed, bowls 2 and 4 are out of the allowed tolerance range. That leaves 3 of the 5 bowls that can be used.

  3/5 × 100% = 60% . . . fraction of bowls that can be included

the value of arc length = 3.14 and the area of the sector = 4.71cm²

The formula for the area of the sector of a circle is /360° (r2) where r is the radius of the circle and is the angle of the sector.

Arc length is the distance between two points along a section of a curve. It is given as

/360°×2r

= 180°, therefore /3 = 180/3= 60°

arc length = 60°/360 × 2×3.14×3

arc length = 3.14cm

The area of the sector = /360°×r²

60/360×3.14×3²

sector area = 3.14×3÷2

sector area = 4.71cm²

therefore the length of the arc and the area bounded by the arc and radius(sector) is 3.14cm and 4.17cm².

learn more about area of sector and length of arc from

https://brainly.com/question/4115882

#SPJ1

Answer:the value of arc length = 3.14 and the area of the sector = 4.71cm²

Step-by-step explanation:

the value of arc length = 3.14 and the area of the sector = 4.71cm²

Answer:

10+2b

Step-by-step explanation:

do 2(b+3)

2xb + 2x3

2b+6

4+(2b+6)

10+2b

hope that helped

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Step-by-step explanation:

√(7^2) + (9^2)

=√(49) + (81)

=√(130)

=11.401754251

Answer:

B. 3.7

Step-by-step explanation:

3.14 + 0.62 =

3.1 + 0.6 =

= 3.7

Answer:c

Step-by-step explanation:when you add you round it to the nearest number

The probability that an MP3 player manufactured in Fort Meyers is defective is 0.37%.

To calculate the probability that an MP3 player is defective, we need to consider the manufacturing plants and their respective defect rates.

Given:

Plant at Memphis manufactures 50% of the MP3 players, and 1% of those manufactured at that plant are defective.

Plant at Fort Meyers manufactures 20% of the MP3 players, and 3% of those manufactured at that plant are defective.

No information is provided about the defect rate of the third plant.

To find the overall probability of an MP3 player being defective, we need to consider the probability of selecting a defective player from each plant and then weigh it by the probability of selecting a player from each plant.

Let's calculate the overall probability:

Probability of selecting a defective player from Memphis plant = 50% * 1% = 0.50% or 0.005 (since 50% is equivalent to 0.50 in decimal form)

Probability of selecting a defective player from Fort Meyers plant = 20% * 3% = 0.60% or 0.006 (since 20% is equivalent to 0.20 in decimal form)

To calculate the overall probability, we need to weigh these probabilities by the probability of selecting an MP3 player from each plant:

Probability of selecting from Memphis plant = 50% = 0.50 (decimal form)

Probability of selecting from Fort Meyers plant = 20% = 0.20 (decimal form)

Overall probability of selecting a defective MP3 player is given by:

Overall probability = (Probability from Memphis plant * Probability of selecting a defective player from Memphis) + (Probability from Fort Meyers plant * Probability of selecting a defective player from Fort Meyers)

Overall probability = (0.50 * 0.005) + (0.20 * 0.006) = 0.0025 + 0.0012 = 0.0037 or 0.37%

Therefore, the probability that an MP3 player, manufactured in Fort Meyers, is defective is 0.37%.

For more question on  probability visit:

https://brainly.com/question/25839839

#SPJ8

Answer:

B) 4 one-point baskets: 5 three-point baskets

Step-by-step explanation:

(4 x 1) + (5 x 3) = 19

The only matrix that is certainly symmetric is a)\((a^2 - b^2).\)

We know that a matrix A is symmetric if it is equal to its transpose, that is \(A = A^T.\)

a) \((a^2 - b^2)\)

We can write the transpose of this matrix as

\((a^2 - b^2)^T = (a^2)^T - (b^2)^T = a^2 - b^2\), which is equal to the original matrix. Therefore, this matrix is symmetric.

b) (A+B)(A-B)

Expanding this expression, we get \((A+B)(A-B) = A^2 - AB + BA - B^2.\)

Taking the transpose of this, we get \((A^2)^T - (AB)^T + (BA)^T - (B^2)^T = A^2 - BA + AB - B^2.\)

Since AB and BA may not be equal, we cannot say for certain that this matrix is symmetric.

c) ABA

Taking the transpose of this matrix, we get\((ABA)^T = A^T B^T A^T\). Since \(A^T and B^T\) may not commute, we cannot say for certain that this matrix is symmetric.

d) ABAB

Taking the transpose of this matrix, we get \((ABAB)^T = B^T A^T B^T A^T\). Again, since \(A^T and B^T\) may not commute, we cannot say for certain that this matrix is symmetric.

Therefore, the only matrix that is certainly symmetric is a) \((a^2 - b^2).\)

for such more question on matrix

https://brainly.com/question/25581637

#SPJ11

Answer:

\(y - 4 = - 3(x - 2)\)

The number 2/5 is both a ratio and a fraction.

The number 2/5 is both a ratio and a fraction. Fractions are meant to signify the numerator and denominator in an expression. in the above expression, we have the denominator as 5 and the numerator as 2.

The expression is also a ratio because it indicates the quantitative relationship between the figures.

Learn more about ratios and fractions here:

https://brainly.com/question/2328454

#SPJ1

the regular price is "x", which of course is the 100%, but we also know that $459 is 32% off that, hmmmmm well 100% - 32% = 68%, so $459 is really 68% of "x", because $459 is whatever "x" is minus 32%.

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 459&68 \end{array}\implies \cfrac{x}{459}=\cfrac{100}{68}\implies \cfrac{x}{459}=\cfrac{25}{17} \\\\\\ 17x = 11475\implies x = \cfrac{11475}{17}\implies x = 675\)

Answer:

\(\lim_{x \to 0} \frac{12xe^x-12x}{cos(5x)-1}=-\frac{24}{25}\)

Step-by-step explanation:

Notice that \(\lim_{x \to 0} \frac{12xe^x-12x}{cos(5x)-1}=\frac{12(0)e^{0}-12(0)}{cos(5(0))-1}=\frac{0}{0}\), which is in indeterminate form, so we must use L'Hôpital's rule which states that \(\lim_{x \to c} \frac{f(x)}{g(x)}=\lim_{x \to c} \frac{f'(x)}{g'(x)}\). Basically, we keep differentiating the numerator and denominator until we can plug the limit in without having any discontinuities:

\(\frac{12xe^x-12x}{cos(5x)-1}\\\\\frac{12xe^x+12e^x-12}{-5sin(5x)}\\ \\\frac{12xe^x+12e^x+12e^x}{-25cos(5x)}\)

Now, plug in the limit and evaluate:

\(\frac{12(0)e^{0}+12e^{0}+12e^{0}}{-25cos(5(0))}\\ \\\frac{12+12}{-25cos(0)}\\ \\\frac{24}{-25}\\ \\-\frac{24}{25}\)

Thus, \(\lim_{x \to 0} \frac{12xe^x-12x}{cos(5x)-1}=-\frac{24}{25}\)

Answer:

Step-by-step explanation:

1. j

2. k

3. L

4. Lj

5. kL

6. jk

Answer:

You would expect to find 40 defective parts in a shipment of 1,000 parts.

Step-by-step explanation:

In a shipment of 1,000 parts, expected to find 40 defective parts based on the proportion observed in the shipment of 300 parts.

To calculate the expected number of defective parts in a shipment of 1,000 parts, we can use the concept of proportion.

Proportion of defective parts in the first shipment

= (Number of defective parts) / (Total number of parts)

= 12 / 300

= 0.04

Now, use this proportion to find the expected number of defective parts in the shipment of 1,000 parts:

Expected number of defective parts

= Proportion of defective parts in the first shipment × Total number of parts in the second shipment

Expected number of defective parts

= 0.04 × 1,000

= 40

Therefore, you would expect to find 40 defective parts in a shipment of 1,000 parts.

learn more about defective here

brainly.com/question/30784822

#SPJ2

The above question is incomplete, the complete question is:

In a shipment of 300 parts, there are 12 defective parts. How many defective parts would you expected to find in a shipment 1,000 parts?

Answer:

83 kids total

Step-by-step explanation:

There are 54 girls on the playground. There are 25 fewer boys than girls on the playground. How many kids are on the playground?

girls = 54

boys = 54 - 25 = 29

54 + 29 = 83 kids total

kids that are on the playground are 83.

Merging objects and identifying them since one big bunch is done through addition. In arithmetic, addition is the technique of adding two or more integers together. The product can meet are the quantities that are included, and the outcome of the operation, or the final response, is referred to as the sum.

The total number of girls that are present is 54

The data given is that there are

25 fewer boys taht are4 present

The total number of boys will be

boys = 54 - 25 = 29

The number of kids that are present will be the total of boys and girls that are present.

Kids = boys + girls

54 + 29 = 83 kids total

The quantity of kids that are present in the playground is 83.

Learn more about sum, here:

https://brainly.com/question/537797

#SPJ2

We know that

• Jen had $567.12 (initial balance).

• She deposited $80.

• She deposited again $240.63.

• She wrote a check for $79.50.

Each deposit represents a positive number, and the check represents a negative number because it's money spent. So, let's represent the situation as an algebraic sum

First, we add the positive numbers

Then, we subtract the numbers

Answer:

The answer to this question can be defined as follows:

In part (i), the answer is "option d".

In part (ii), the answer is "option 2".

Step-by-step explanation:

Given:

Part (a)

\(\Rightarrow \bold{\frac{x^2+x-20}{x-4}=x+5}\\\\\)

Solve  the above equation:

\(\Rightarrow x^2+x-20=(x+5)(x-4)\\\\\Rightarrow x^2+x-20=(x^2-4x+5x-20)\\\\\Rightarrow x^2+x-20=x^2-4x+5x-20\\\\\Rightarrow \boxed{x^2+x-20=x^2+x-20}\\\)

Given:

Part (b)

\(\Rightarrow \bold{ \lim_{x \to \3} \frac{x^2+x-12}{x-3}= \lim_{x \to 3} (x+4)}\\\\\)

Solve the above equation:

factor of \(\Rightarrow x^2+x-20 =(x-3)(x+4)\)

\(\Rightarrow \lim_{x \to \3} \frac{(x-3)(x+4)}{x-3}= \lim_{x \to 3} (x+4)\\\\\Rightarrow \lim_{x \to \3} (x+4)= \lim_{x \to 3} (x+4)\\\\\)

apply limit value:

\(\Rightarrow (3+4)= (3+4)\\\\\Rightarrow 7= 7\)

Step-by-step explanation:

B^2+8b+7 is a quadratic expression. It can be factored as (b+7)(b+1).

To factor a quadratic expression, you can use the following steps:

1. Find two numbers that add up to the coefficient of the middle term (8) and multiply to the constant term (7).

2. Write the quadratic expression as a product of two binomials, with the two numbers you found in step 1 as the coefficients of the terms in each binomial.

In this case, the two numbers that add up to 8 and multiply to 7 are 7 and 1. So, we can factor B^2+8b+7 as follows:

(b+7)(b+1)

This means that B^2+8b+7 is equal to the product of (b+7) and (b+1).

Here is a step-by-step explanation of how to factor B^2+8b+7:

1. The coefficient of the middle term is 8.

2. The constant term is 7.

3. The two numbers that add up to 8 and multiply to 7 are 7 and 1.

4. Therefore, B^2+8b+7 can be factored as (b+7)(b+1).

As a decimal- 5.4

As an exact form- 24/5

As a Mixed number- 5 2/5

Hope this helped :T

Answer: H. 139.50

Step-by-step explanation:

Multiply 9 by 8 first and you get 72. Then multiply 9 by 7.5 and you get 67.5 then add 72 and 67.5 and you get 139.5 or 139.50