I need help with this question please?

I Need Help With This Question Please?

Answers

Answer 1

[tex]t=100 \left(1-\frac{V}{50} \right)^2\\\\\frac{t}{100}=\left(1-\frac{V}{50} \right)^2[/tex]

Since time is positive, we take the positive square root.

[tex]\frac{\sqrt{t}}{10}=1-\frac{V}{50}\\\\\frac{\sqrt{t}}{10}-1=-\frac{V}{50}\\\\50-5\sqrt{t}=V\\\\\therefore f^{-1}(V)=\boxed{50-5\sqrt{V}}[/tex]


Related Questions

what is 126945 rounded to the nearest hundred thousand

Answers

To the nearest hundred thousand, we must first determine the number in the hundred thousand position. This is the digit 1. Now consider the number next to it. This is 2. Since two is not up to 5, we would round off all other nuber to zero.

Hence to the nearest hundred thousand, 126,945 is 100,000

Please help me find what X equals for question 3.

Answers

The value of the missing variable x in the given triangle is; x = 15

What is the missing angle?

We know that sum of angles on a straight line is 180 degrees. That means the angle on the horizontal line of (9x + 16)° inside the triangle will be;

180 - (9x + 16)°

Now, we know that sum of angles in a triangle is 180 degrees. Thus;

180 - (9x + 16)° + 5x - 14 = 90

180 - 4x - 30 = 90

150 - 4x = 90

150 - 90 = 4x

60 = 4x

x = 60/4

x = 15

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Given the following frequency table of values, is the mean, median, or mode likely to be the best measure of the center for the data set?ValueFrequency271280290300310320330340350360370380391402411425432442453Select the correct answer below:ModeMeanMedian

Answers

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set.

On the given dataset, if we ignore the outlier of the dataset, all those measures are going to be similar, but since we have a high frequency on the middle of our dataset and the presence of an outlier value, the most likely to describe the center of the dataset is the mode.

Marcia bought a dozen roses for $16.38 (including tax). If tax was 5%, what was the cost of the roses before tax?

Answers

Tax amount = 5% of $16.38

[tex]\begin{gathered} =\frac{5}{100}\times16.38=0.819\approx0.82 \\ \text{The actual cost of the roses before tax = 16.38-0.82= \$15.56} \end{gathered}[/tex]

3 What is the length of the missing leg? 15 m I meters

Answers

Answer

The length of the missing leg = 12 m

Explanation

The triangle presented is a right angled triangle because one of its angles is equal to 90 degrees.

The Pythagorean Theorem is used for right angled triangle, that is, triangles that have one of their angles equal to 90 degrees.

The side of the triangle that is directly opposite the right angle or 90 degrees is called the hypotenuse. It is normally the longest side of the right angle triangle.

The Pythagoras theorem thus states that the sum of the squares of each of the respective other sides of a right angled triangle is equal to the square of the hypotenuse. In mathematical terms, if the two other sides are a and b respectively,

a² + b² = (hyp)²

For this question,

Hypotenuse side = 15 m

a = 9 m

b = d = ?

a² + b² = (hyp)²

9² + d² = (15)²

81 + d² = 225

d² = 225 - 81

d² = 144

d = √144

d = 12 m

Hope this Helps!!!

Answer:

We'd use the pythagorean theorem to solve for the other leg's length. As the image suggests, we'd use the theorem,

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

If one leg is 9 , that's our a value.

If the hypotenuse is 15 , that's our c value.

Now we just have to find the b value.

Plugging in the variables,

[tex] {9}^{2} + {b}^{2} = {15}^{2} [/tex]

[tex] {9}^{2} = 81 \\ {15}^{2} = 225 \\ 81 + {b}^{2} = 225[/tex]

Subtract 81 from both sides.

[tex] {b}^{2} = 144[/tex]

Square root both sides.

[tex] \sqrt{ {b}^{2} } = b \: and \: \sqrt{144 = 12 } [/tex]

so b = 12

3. In television shows you may watch, scientists may patterns of data (growth of zombies, bacteria, etc). Below is a table that shows the number of zombies over a 4 day period. Days 0 1 2 3 4 # of zombies 2 8 32 128 512 *** a) What is the initial value? b) ** What is the growth/ decay factor?

Answers

We are given a table that shows the number of zombies over a 4 day period.

a) What is the initial value?

The initial value means an initial population that is the number of zombies at day 0

From the table, we see that the initial population is 2

Initial value = 2

b) What is the growth/decay factor?

The growth/decay factor can be found by finding the ratio of the consecutive terms

r = 512/128 = 4

r = 128/32 = 4

r = 32/8 = 4

r = 8/2 = 4

As you can see, we have got the same ratio.

Since the ratio is greater than 1 then it is a growth factor.

If it was less than 1 then it would have been a decay factor.

Therefore, the growth factor is 4

Initial value = 2

Growth factor = 4

You are given the sample mean and the population standard deviation. Use this information to construct the 90% and 95%confidence intervals for the population mean Interpret the results and compare the widths of the confidence intervals. Ifconvenient, use technology to construct the confidence intervals.A random sample of 40 home theater systems has a mean price of $126.00. Assume the population standard deviation is$18.60Construct a 90% confidence interval for the population mean.

Answers

Solution

Given the following below

[tex]\begin{gathered} \bar{x}=\text{ \$126}.00 \\ n=40 \\ \sigma=\text{ \$18.60} \\ At\text{ 90\% the critical z is }\pm1.645 \end{gathered}[/tex]

To find the 90% confidence interval, the formula is

[tex]\bar{x}\pm z\frac{\sigma}{\sqrt[]{n}}[/tex]

Substituting values into the formula above

[tex]126\pm1.645\frac{18.6}{\sqrt[]{40}}[/tex]

Solve the above

[tex]\begin{gathered} 126+_{}1.645\frac{18.6}{\sqrt[]{40}}=130.84\text{ (two decimal places)} \\ 126-1.645\frac{18.6}{\sqrt[]{40}}=121.16\text{ (two decimal place)} \end{gathered}[/tex]

At 90% confidence interval, the population mean will be between 121.16 and 130.84 (121.16, 130.84)

at this rate how many hours must Danielle babysit to earn $96

Answers

4 ---> 48

x ---> 96

[tex]\begin{gathered} 4\times96=x\times48 \\ 384=48x \\ \frac{384}{48}=\frac{48x}{48} \\ x=8 \end{gathered}[/tex]

answer: 8 hours

i) Hence solve cosec 3y ÷ cot 3y + tan 3y = 0.5 for 0
[tex] \leqslant y \leqslant \pi \: radians \: giving \: your \: your \: am \\ answer \: in \: terms \: of \: \pi[/tex]

Answers

The value of y is π/9 or 7π/9 for the range 0 ≤ y ≤ π.

cosec 3y /( cot 3y + tan 3y) = 0.5

Trigonometry formula is:

cosec Ф = 1/ sin Ф

cot Ф = cos Ф/ sinФ

tan Ф = sinФ/ cos Ф

[tex]\frac{\frac{1}{sin 3y} }{\frac{cos 3y}{sin 3y} +\frac{sin 3y}{cos 3y} }[/tex]  = 0.5

[tex]\frac{\frac{1}{sin 3y} }{\frac{cos 3y^{2} + sin 3y^{2} }{sin 3y cos 3y} }[/tex] = 0.5

sin² 3y + cos ² 3y = 1

1/ sin 3y × sin 3y cos 3y = 0.5

cos 3y = 0.5 = 1/2

cos π/ 3 = 1/2

For 0≤ y ≤π

0 ≤3y ≤ 3π

So 3y = 2kπ + π/3 , k = 0, 1

y = π/ 9 or 7π/ 9

Therefore the value of y is π/9 and 7π/ 9 for the given range.

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what is i^30?A. -iB. -1c. 1D.i

Answers

Answer

Explanation

Given:

[tex]i^{30}[/tex]

we can rewrite the expression as follows:

[tex][/tex]

A triangular priam has the following dimensions: width is 5 mm base is15 mm. What additional dimensions are needed to find the surface area ofthe prism?

Answers

If we need to determine the surface area of a prims we would have to add the areas of each of the faces of the prism, therefore, we would also require to know the length of the prism.

This net represents an unfolded box. 4 in. 4x5=7 WXI- 2 sov 6 in. n 1 yo 10 in. sa 14 Sau What is the total surface area, in square inches, of this box?

Answers

The total surface area will be given by:

[tex]A=2A1+2A2+2A3[/tex]

Where:

[tex]\begin{gathered} A1=40in^2 \\ A2=24in^2 \\ A3=6\cdot4=60in^2 \end{gathered}[/tex]

Therefore:

[tex]\begin{gathered} A=2\left(40\right)+2\left(24\right)+2\left(60\right) \\ A=80+48+120 \\ A=248in^2 \end{gathered}[/tex]

Answer:

248 in²

69 billion and 580,000,000÷4,570,000=

Answers

Answer:
69000000126.9

Multiply.Simplify your answer as much as possible. 3v5 .6y.2y4v4

Answers

Solution

[tex]3v^5(6y)2y^4v^4[/tex]

For this case we can do the following:

[tex](3\cdot6)\cdot(v^{5+4})\cdot(y^{1+4})=18v^9y^5[/tex]

And then the solution for this case would be:

18v^9 y^5

consider a right triangle with acute angle of measure 0 and cos 0 = 4/5 use Pythagorean identity to write an equation that can be used to find Sim 0 is ( + ( 4/5 = 1

Answers

[tex]\begin{gathered} a. \\ \cos \theta=\frac{4}{5} \\ \cos ^2\theta+\text{ }\sin ^2\theta=\text{ 1} \\ \sin ^2\theta=1-\cos ^2\theta \\ \sin ^2\theta=\text{ 1-(}\frac{4}{5})^2 \\ \\ \sin ^2\theta=\text{ 1-}\frac{16}{25} \\ \\ \sin ^2\theta=\text{ }\frac{9}{25} \\ \\ \sin ^{}\theta=\sqrt[]{\text{ }\frac{9}{25}} \\ \\ \sin ^{}\theta=\text{ }\frac{3}{5} \\ \\ \text{The }\sin ^{}\theta\text{ is }\frac{3}{5} \\ \\ b. \\ \text{tan}\theta=\frac{\sin^{}\theta}{\cos\theta} \\ \\ \text{tan}\theta=\frac{3}{5}\text{ }\frac{\cdot}{\cdot}\frac{4}{5}=\frac{3}{4} \\ \\ \text{tha tan }\theta\text{ is }\frac{3}{4} \end{gathered}[/tex]

The patient recovery time from a particular surgical procedure is normally distributed with a mean of 4 days and a standard deviation of 1.6 days. Let X be the recovery time for a randomly selected patient. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N([],[])b. What is the median recovery time?daysc. What is the Z-score for a patient that took 5.7 days to recover? []d. What is the probability of spending more than 4.5 days in recovery? []e. What is the probability of spending between 3.5 and 4.3 days in recovery? []f. The 85th percentile for recovery times is []

Answers

Part B

What is the median recovery time?

Remember that

For a normal distribution, mean = median = mode

so

The median is 4 days

Part C

What is the Z-score for a patient that took 5.7 days to recover?

Remember that

z =(x - μ)/σ

where

μ=4 days

σ=1.6 days

X=5.7 days

substitute

z=(5.7-4)/1.6

z=1.0625

Part D

What is the probability of spending more than 4.5 days in recovery?

z =(x - μ)/σ

μ=4 days

σ=1.6 days

x=4.5 days

Find out z

z=(4.5-4)/1.6

z=0.3125

using a z-score table values

P(X>4.5)=0.3773

Part E

What is the probability of spending between 3.5 and 4.3 days in recovery?

For x=3.5 -------> z=(3.5-4)/1.6=-0.3125

For x=4.3 -----> z=(4.3-4)/1.6=0.1875

using a z-score table values

P(3.5 < X < 4.3)=0.1970

Part F

Remember that

If your score is in the 85th percentile, it means that 85% of the scores are below your score and 15% are above your score

using a z-score table values

the value of Z=1.036

Find out the value of x

1.036=(x-4)/1.6

solve for x

x=5.6576 days

The scatterplot shows the number of cars and trucks sold by 10 differentemployees at a car and truck dealership during a month.How many employees sold more trucks than cars?

Answers

Let's us tabulate the data that is on the scatterplot.

As you can see in the fourth column, "Sold More Trucks than Cars?", some rows say "Yes" and some say "No".

Let's take a look at Employee No.1. Employee No.1 sold 4 trucks and sold 2 cars. Therefore, employee no.1 was able to sell more trucks than cars and thus, the answer to the fourth column is "Yes."

The same is done for all the employees.

In the end, there are 6 employees who were able to sell more trucks than cars.

write the word sentence as an equationa number w divided by 5 equals 6

Answers

a number : w

A number w divided by 5: w/5

equals (=) 6

[tex]\frac{w}{5}=6[/tex]

you are 37 years old and have accumulated $150,000 in your savings account. you intend to add a fixed amount each month for twenty years. for the first five (5) years you add $100 at the end of each month. then $ 200 at the end of the month for the remaining time. given that the account pays an interest rate of 6% per year compounded monthly, how much money will you have at age 58 in your savings account?

Answers

At age 58, the investor will have (Future Value) $571,816.64 in their savings account after accumulating $150,000 and then adding $100 monthly for five years and $200 monthly for fifteen years.

How is the future value at age 58 computed?

The future value at age 58 can be computed in two tranches.

The first step is to compute the future value using the present value of the accumulated funds in addition to the periodic monthly investments.

The second step computes the future value using the present value of the funds after 5 years in addition to the periodic monthly savings.

Future Value at the end of the first 5 years:

N (# of periods) = 60 months (5 x 12)

I/Y (Interest per year) = 6%

PV (Present Value) = $150,000

PMT (Periodic Payment) = $100

FV = $209,304.53

Sum of all periodic payments = $6,000 (60 x $100)

Total Interest = $53,304.53

Future Value at the end of the remaining years:

N (# of periods) = 180 months (12 x 15 years)

I/Y (Interest per year) = 6%

PV (Present Value) = $209,304.53

PMT (Periodic Payment) = $200

Results:

Future Value (FV) = $571,816.64

Sum of all periodic payments = $36,000 ($200 x 180 months)

Total Interest = $326,512.11

Thus, you will have $571,816.64 as the future value in your savings account when you turn 58.

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Which of the following are solutions to the equation below?
Check all that apply.
9x – 64 = 0
A. 8
B.
_ c.
C D.
3
F.
ო/დ
I
დო
3
J E. -8
დო
3
8

Answers

Answer:

C  -8/3

F  8/3

Step-by-step explanation:

9x² - 64 = 0

==> 9x² = 64

==> x² = 64/9

x = ±√(64/9) = ±√64/√9 = ±8/3

if 2 blams equal 15 droms and 5 droms equals 28 klegs, how many klegs are in a blam?

Answers

2 blams ----------------- 15 droms

5 droms ----------------- 28 klegs

1 blam ------------------ ? klegs

5 droms ------------------- 28 klegs

15 droms -------------------- x

x = (15 x 28) / 5

x = 84 klegs

2 blams ------------------------- 84 klegs

1 blam --------------------------- ? klegs

x = (1 x 84)/2

x = 42 klegs

There are 42 klegs in 1 blam

please help me out thanks

Answers

According to the solving the matrix will be  BF = [tex]\left[\begin{array}{ccc}4&0&-3\\15&9&6\end{array}\right][/tex]

What is the matrix?

A matrix is a rectangular array as well as table of characters, numbers, or expressions that is set up in rows and columns to represent a mathematical object or a characteristic of one. As an illustration, consider a matrix containing two rows as well as three columns..

What does matrix actually mean?

In the field of optics, matrices are employed to model refraction and reflection. Quantum mechanics, electrical circuits, and resistor conversion all benefit from the usage of matrices. In electric circuits, matrices are utilized to solve equations relating to the AC network.

According to the given data:

B = [tex]\left[\begin{array}{ccc}2&-1&2\\3&-1&-2\end{array}\right][/tex]

F = [tex]\left[\begin{array}{ccc}3&1&1\\-2&-2&1\\-2&-2&-2\end{array}\right][/tex]

Now solving for BF:

B = [tex]\left[\begin{array}{ccc}2&-1&2\\3&-1&-2\end{array}\right][/tex]  x F = [tex]\left[\begin{array}{ccc}3&1&1\\-2&-2&1\\-2&-2&-2\end{array}\right][/tex]

BF = [tex]\left[\begin{array}{ccc}6+2-4&2+2-4&2-1-4\\9+2+4&3+2+4&3-1+4\end{array}\right][/tex]

BF = [tex]\left[\begin{array}{ccc}4&0&-3\\15&9&6\end{array}\right][/tex]

According to the solving the matrix will be  BF = [tex]\left[\begin{array}{ccc}4&0&-3\\15&9&6\end{array}\right][/tex].

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Given: BC = EC, CA = CD Prove: BA= DE

PLEASE HELP ASP!

Answers

Answer:

hope it helps

Step-by-step explanation:

What’s the correct answer answer asap for brainlist

Answers

Answer:

I would say B, because the entire purpose and main theme of  The Interlopers is to show the futility and uselessness of feuds and arguments, and that sometimes its best to just live and let live, just to keep it short.

Hey, I am looking for a answer to this, I need a simple answer! It is for 25 points! Please and thank you, enjoy your day!

Answers

Number of loops, the metal core, battery current, wire size

help me with this question please

Answers

Answer: 56

To solve this problem, we will use the formula for Combination which goes by

[tex]_{}C(n,r)=^nC_r=_nC_r=\frac{n!}{r!(n-r)!}[/tex]

From the problem, we know that:

n = 8

r = 3

Since there are a total of 8 different movie soundtracks and we only need 3.

Substituting it on the formula,

[tex]C(n,r)=\frac{n!}{r!(n-r)!}[/tex][tex]C(8,3)=\frac{8!}{3!(8-3)!}[/tex][tex]C(8,3)=56[/tex]

Therefore, there are 56 possible selections of movie soundtracks at the music store.

The builder of a parking garage wants to build a ramp at an angle of 16 degrees covers a horizontal span of 55 feet. How long will the actual ramp be? Round yoursolution to four decimal places.

Answers

Let's draw the ramp to better understand the problem:

For us to be able to determine how long the ramp will be, we will be using the Cosine Function.

We get,

[tex]\text{ Cosine }\Theta\text{ = }\frac{\text{ b}}{\text{c}}[/tex][tex]Cosine(16^{\circ})\text{ = }\frac{55}{x}[/tex][tex]x\text{ = }\frac{55}{Cosine(16^{\circ})\text{ }}[/tex][tex]\text{ x = }\frac{55}{0.9612616959}[/tex][tex]x=57.216468974668940618504468175387[/tex][tex]\text{ x }\approx\text{ 57.2165 feet}[/tex]

Therefore, the answer is 57.2165 feet.

dilate triangle LMN by a scale factor of four using the origin as the center of dilation label the image triangle LMN and give the coordinates for each of the vertices

Answers

Let's begin by listing out the information given to us:

Step 2: In the question above, find (using the method of your choice—formula, or graphing calculator function, or Excel, or app) the value of the test statistic t, to two places after the decimal point.

Answers

From the question given,

The formula to find the test statistics mean is given below as,

[tex]t=\frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt[]{n}}}[/tex]

Where,

[tex]\begin{gathered} \bar{x}\text{ is the population mean} \\ \mu\text{ is the sample mean} \\ \sigma\text{ is the standard deviation } \\ n\text{ is the }sample\text{ size} \end{gathered}[/tex]

Given the values of the above below,

[tex]\begin{gathered} \bar{x}=2.27\text{ mins} \\ \mu=2.98\text{ mins} \\ \sigma=0.98\text{ mins} \\ n=20 \end{gathered}[/tex]

Substituting the values into the formula of test statistics t above,

[tex]\begin{gathered} t=\frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt[]{n}}} \\ t=\frac{2.27-2.98}{\frac{0.98}{\sqrt[]{20}}}=\frac{-0.71}{\frac{0.98}{4.472}}=-\frac{0.71}{0.219}=-3.242 \\ t=-3.24\text{ (two decimal places)} \end{gathered}[/tex]

Hence, the test statistics, t = -3.24 ( two decimal places)

3) A map of a rectangular park has a length of 4 inches and a width of 6 inches. It uses a scale of 1 inch for every 30 miles. What is the actual area of the park? Show how you know. (From Unit 1, Lesson 12)

Answers

Given:

Length of the park, l=4 inches

Width of the park, w=6 inches.

Here, 1 inch is equal to the 30 miles.

To find the actual area of the park:

Area of the park is, A=lw

That is,

[tex]\begin{gathered} A=4\times6 \\ =24\text{ inches} \end{gathered}[/tex]

In miles,

[tex]\begin{gathered} A=24\times30 \\ =720\text{ miles} \end{gathered}[/tex]

Hence, the area of the park in miles is 720 miles.

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The author also uses flashback to have Marek explain a. why he likes Florida better than the place where he lives. b. what his life had been like before his mom and sad split up. c. how the airports had changed since the last time he was there. d. why he didn't like hamburgers. In story Signs of the Times How should a democratic society define its universe of obligation? __________ _________ compare alternatives using branching technque based on known quantitative data, explicit knowledge and object facts to make a decision. can someone please help solve this math problem with solution? thank u! Here is a linear equation: y = 2/3x + 1 Are (6, 5) and (9, 8) solutions to the equation? Explain or show your reasoning. Question 8 (3.34 points)Which of these are the three main types of networking cables that you willencounter? A .Coaxial cables, Twisted pair cables, Fiber optics cablesB .Coaxial cables, Power Extension Cables, Fiber optics cablesC .HDMI Cables, Power Extension Cables, Fiber optics cables D .Coaxial cables, Power Extension Cables, UV Cablees Anyone explain What is the photography and nature? This is my topic What pattern do you notice in these twomeasurements,10.3 cm and 103 mm? you find a piece of bone that has a 14c/12c ratio that is 1/16 that of the atmospheric 14c/12c ratio. what is the approximate age of the bone? what is one way the vision of primates is different from that of other animals? group of answer choices primates have monochromatic vision. primates have open eye orbits not enclosed by bone. primates have overlapping vision fields. primates have eyes on the side of the head. Marissa is going back to work after taking 10 years off to raise her children. She is starting her job search process and is trying to write a new rsum so that she can apply to jobs. What rsum format should Marissa use?a.Chronologicalb.Functionalc.Webd.Electronic Knowing that death and dying is a natural part of the aging process, which of the following statements is TRUE?A. There are 2 major reactions or stages to death or dying, which have been identified as despair and anchoring.B. People ALWAYS experience each stage related to death and dying.C. Families and friends experience each stage related to death and dying EXACTLY like individuals who are dying experience them.D. Your role is to acknowledge older adults reactions to grief, loss, and death and support them A savings account increases from 200$ to 208$. What is the percent increase of the savings account? What might explain the inconsistencies between real-world prosecutors and those in the movies? Make sure you mention the title and year of the film. im confused help me please which of the following will increase owner's equity on the statement of owner's equity? a.owner's withdrawals, net loss b.owner's investments, net income c.owner's withdrawals, net income d.owner's investments, net loss HELP ME!!!!!One interior angle of a triangle is 95.5, and the other two interior angles are congruent. What is the degree measure of one of the congruent angles? 42.25 47.75 84.5 90 the vertices of PQR are P(-5,1), Q(-4,6), and R(-2,3), graph P"Q"R" after a composition of the transformations in the order they are listed. A dramatization of one part of Thomas Putnams backstory that has a beginning,middle and end. ??? INSTANT HELP PLEASE PLEASE PLEASE