CALC PROBLEM PLEASE HELP ASAP

CALC PROBLEM PLEASE HELP ASAP

Answers

Answer 1

Solving for the derivative of the inverse function, the value of (f^-1)'(7) is equals 1/4.

What is the value of the function?

To find the derivative of the inverse function at a particular point, we can use the formula:

(f^-1)'(y) = 1 / f'(f^-1(y))

where y is the value of the function at a particular point.

We are given that f(3) = 7, so the point we are interested in is (3, 7). We need to find f'(f^-1(7)).

To find f^-1(x), we can solve the equation y = x² - 2x + 4 for x in terms of y:

y = x² - 2x + 4

x² - 2x + (4 - y) = 0

Using the quadratic formula, we get:

x = (2 ± √(4 - 4(4-y))) / 2

x = 1 ± √(y-3)

Since x ≥ 1, we take the positive root:

f^-1(y) = 1 + √(y-3)

Now we can find f'(f^-1(7)):

f^-1(7) = 1 + √(7-3) = 3

f'(x) = 2x - 2

f'(f^-1(7)) = f'(3) = 2(3) - 2 = 4

Finally, we can use the formula to find (f^-1)'(7):

(f^-1)'(7) = 1 / f'(f^-1(7)) = 1/4

Therefore, (f^-1)'(7) = 1/4.

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Related Questions

Need help anyone can help

Need help anyone can help

Answers

Answer

D

step 1

Memorize the formula, or look at the formula and solve it.

Need help anyone can help

Anna bought an $85 pair of shoes for 2/5 off. How much did she pay?

A. $75
B. $51
C. $36
D. $34

Answers

Answer:

D. 34

Step-by-step explanation:

Because if you divide 85 by 5 you can get 17 which is 1/5 of 5/5 and add another 17 and add it to the other one and you get 34

5. Which of the following functions models exponential growth?
x
A. f(x) = 12 ()
B. f(x) = 2(.87)*
c. f(x) = -3(x)2
D. f(x) = 4(1.07)

Answers

Answer:

D

Step-by-step explanation:

I believe it's D but not 100%

find the value of 11 (a + b) when a = 7 and b = 3. (a) 110
(b)77
(c) 11,000
(d) 44​

Answers

Answer:

(a) 110

Step-by-step explanation:

We can plug in 7 for a and 3 for b.  Then we can simplify

11(a + b)

11(3 + 7)

11(10)

110

Thus, the value of 11(a + b) when a = 7 and b = 3 is 110, or answer a

write an equation in slope intercept form for the line that has a slope of 1/3 and passes through the point (3, -20)

Answers

y = 1/3x - 21 is the equation of the line in slope-intercept form.

What is a slope?

Slope is a measure of the steepness or incline of a line. It describes how much the dependent variable (usually y) changes for a given change in the independent variable (usually x).

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

We are given that the slope is 1/3 and that the line passes through the point (3, -20). We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

where (x1, y1) is the point through which the line passes, and m is the slope. Plugging in the values we have:

y - (-20) = 1/3(x - 3)

Simplifying this equation:

y + 20 = 1/3x - 1

Subtracting 20 from both sides:

y = 1/3x - 21

This is the equation of the line in slope-intercept form.

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Please help quick I need it

Please help quick I need it

Answers

The area of the composite figure is 122.24 units².

How to find the area of a composite figure?

The composite figure consist of a rectangle and two semi circles. Therefore, the area of the composite figure is the sum of the area of the individua shapes.

Hence,

area of the composite figure = area of the rectangle + 2(area of semi circle)

Therefore,

area of the composite figure = 9 × 8 + 2(1 / 2 πr²)

area of the composite figure = 72 + πr²

where

r = 8 / 2 = 4 units

Therefore,

area of the composite figure = 72 + 3.14 × 4²

area of the composite figure = 72 + 3.14 × 16

area of the composite figure = 72 + 50.24

area of the composite figure = 122.24 units²

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Case 1 = 4 blocks case 2 = 9 blocks case 3 =16 blocks. How many blocks are need for the 9th case?

Answers

9514 1404 393

Answer:

  100

Step-by-step explanation:

4 = 2² . . . case 1

9 = 3² . . . case 2

16 = 4² . . . case 3

The number of blocks is the square of the number 1 greater than the case number. For case 9, the number of blocks is (9+1)² = 10² = 100.

  100 blocks are needed for the 9th case.

Where is the central tendency located in a skewed left distribution?

to the left of the tallest bar
to the right of the smallest bar
to the left of the smallest bar
in the center of the graph
to the right of the tallest bar

Answers

The Central tendency is typically located to the right of the tallest bar.

In a skewed left distribution, the central tendency is typically located to the right of the tallest bar. Skewed left distributions, also known as negatively skewed distributions, are characterized by a tail that extends towards the left side of the distribution.

The central tendency refers to the measure that represents the center or average of a distribution. It provides information about the typical or central value around which the data points tend to cluster. Common measures of central tendency include the mean, median, and mode.

In a skewed left distribution, the mean is usually influenced by the long tail on the left side of the distribution. This tail pulls the mean towards lower values, resulting in a lower mean compared to the median. Therefore, the mean will typically be located to the left of the tallest bar in a skewed left distribution.

On the other hand, the median is less affected by the skewness of the distribution and is relatively robust to extreme values. It represents the value that separates the lower 50% of the data from the upper 50%. In a skewed left distribution, the median will be located closer to the tallest bar or even slightly to the right of it.

The mode, which represents the most frequently occurring value in a distribution, may or may not be influenced by the skewness depending on the shape of the distribution. It can be located anywhere along the distribution, and its position is not necessarily tied to the location of the tallest bar.

To summarize, in a skewed left distribution, the central tendency is typically located to the right of the tallest bar. The median is usually closer to the tallest bar or slightly to the right, while the mean is influenced by the skewness and tends to be located to the left of the tallest bar.

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Consider a tree T with n vertices, where n is an odd integer greater than or equal to 3. Let v be a vertex of T. Prove that there exists a vertex u in T such that the distance between u and v is at most (n-1)/2

Answers

There must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.

To prove the existence of a vertex u in tree T such that the distance between u and v is at most (n-1)/2, we can employ a contradiction argument. Assume that such a vertex u does not exist.

Since the number of vertices in T is odd, there must be at least one path from v to another vertex w such that the distance between v and w is greater than (n-1)/2.

Denote this path as P. Let x be the vertex on path P that is closest to v.

By assumption, the distance from x to v is greater than (n-1)/2. However, the remaining vertices on path P, excluding x, must have distances at least (n+1)/2 from v.

Therefore, the total number of vertices in T would be at least n + (n+1)/2 > n, which is a contradiction.

Hence, there must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.

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Pleas Help ASAP Giving brainliest if correct <3

Pleas Help ASAP Giving brainliest if correct &lt;3
Pleas Help ASAP Giving brainliest if correct &lt;3

Answers

Answer: the first one is 7/9 and the second one is option 2

Step-by-step explanation:

4+7 = 11

< or> = open dot


Cómo se determina el condominio de la función cuadrática.

Answers

The domain is the set of all values in the set (- ∞, ∞).

What is a mathematical function, equation and expression?          

Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function

Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Equation : A mathematical equation is used to equate two expressions.

Given is a quadratic function as follows -

ax² + bx + c

For any quadratic equation (with vertex at origin), the value of [y] or the range is either the set of all positive values from 0 to infinity when the quadratic function open upwards and  the set of all negative values from 0 to -infinity when the quadratic function open downwards. The domain is the set of all values in the set (- ∞, ∞).

Therefore, the domain is the set of all values in the set (- ∞, ∞).

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{Question in english language is as follows -

How the domain of the quadratic function is determined.}

Find the perimeter and total area of the polygon

Find the perimeter and total area of the polygon

Answers

Answer:

perimeter = 56 in

area = 192 in

Cliff needs 6 meters of wood for a building project. He already has 3
meters of wood.
Approximately how many feet of wood does Cliff need? (One meter
is approximately 3.3 feet.)
1 foot
3 feet
6 feet
10 feet

Answers

letter B 3 feet

Step-by-step explanation:

he needs three more to get 6 meters of wood

10, because he needs 3 more meters and 3 meters = 9.9 feet

Please help! Show work as welll pleaseeeee

Please help! Show work as welll pleaseeeee

Answers

Answer:

\( {x}^{2} + {8}^{2} = {y}^{2} ...(1) \\ {x}^{2} + {23}^{2} = {z}^{2} ...(2) \\ {y}^{2} + {z}^{2} = {(23 + 8)}^{2} \\ {y}^{2} + {z}^{2} = {(31)}^{2} ...(3) \)

You should be able to solve this simultaneously...to find x,y and z.

Gabriella had 6/8 of a whole pie left she gave Reuben 2/3 of the pie she had left how much of a whole pie did Reuben get

Answers

Answer:

\(\frac{1}{2}\) of the whole pie

Step-by-step explanation:  

The problem calls for a multiplication of fractions. In order to know how much pie Reuben got, we have to multiply \(\frac{2}{3}\) by the pie Gabriella has, which is \(\frac{6}{8}\).

So: \(\frac{2}{3}\) x \(\frac{6}{8}\) = \(\frac{12}{24}\)

Let's reduce the answer to its lowest term by dividing both the numerator and the denominator by 12.

Numerator: 12÷12 = 1

Denominator: 24÷12 = 2

So, this makes Reuben's share being \(\frac{1}{2}\) of the whole pie.

Please help.
Is it no solution, one solution or infinitely many
Solution.

Please help. Is it no solution, one solution or infinitely manySolution.

Answers

No solutions number 1 be has the ro

A biologist is researching a newly discovered species of bacteria. At
time t = 0, he puts 200 bacteria into what he has determined to be a favorable growth. Eight hours later, he measures 800 bacteria. This can
be modeled by the equation y = aekt, where a is the initial amount of
bacteria. Find the rate of growth, k, of the bacteria.

Answers

Answer:

  k ≈ 0.1733

Step-by-step explanation:

Using the numbers given, we find the multiplier of the population is 800/200 = 4 in 8 hours. This means the equation of growth can be written ...

  y = 200(4^(t/8))

When this is written in the form ...

  y = 200·e^(kt)

We can compare the two equations to see that ...

  4^(1/8) = e^k

Taking natural logarithms, we have ...

  1/8·ln(4) = k ≈ 0.1733

The growth rate k is approximately 0.1733.

_____

Additional comment

The comparison we were looking for was (4^(1/8))^t = (e^k)^t. Instead of "comparing" the equations, you could set them equal and solve for k.

  200(4^(t/8)) = 200e^(kt)

  4^(t/8) = e^(kt) . . . divide by 200

  t/8·ln(4) = kt·ln(e) . . . . take natural logs

  1/8·ln(4) = k . . . . . . use ln(e) = 1 and divide by t

Draw the net and calculate the surface area .

Draw the net and calculate the surface area .

Answers

Hello!

surface area

= 2(4 x 2) + 2(12 x 4) + 2(12 x 2)

= 160cm²

Choose as many answers as apply.
According to the lesson, things you can do to help you decide on a bank include:
compare interest rates
determine which bank has the most attractive buildings
ask friends where they bank
visit two or three branch office

Answers

Some things you can do to help you decide on a bank include:

Ask friends where they bankVisit two or three branch officesCompare interest rates

Why are these important?

When trying to locate a bank that offers competitive returns on savings and favorable borrowing costs, consider comparing interest rates.

To gather additional information about certain banks, why not solicit feedback from acquaintances? People who have personal experience with a particular bank can provide valuable insights into their satisfaction levels with regards to customer service, for example.

Finally, taking the time to visit branch offices can offer valuable clues regarding convenience level and overall atmosphere.

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The general form of a circle is given as x^2+y^2+4x-10y-7=0.


What are the coordinates of the center of the circle?

What is the length of the radius of the circle?

Answers

Answer:

center: (-2, 5)radius: 6

Step-by-step explanation:

We can complete the squares of the x- and y-terms by adding the square of half the linear term coefficient.

  (x^2 +4x) +(y^2 -10y) = 7

  (x^2 +4x +4) +(y^2 -10x +25) = 7 + 4 + 25

  (x +2)^2 +(y -5)^2 = 6^2

Compare to ...

  (x -h)^2 +(y -k)^2 = r^2 . . . . . standard form equation of a circle

We see that the center is ...

  (h, k) = (-2, 5)

and the radius is ...

  r = 6

The general form of a circle is given as x^2+y^2+4x-10y-7=0.What are the coordinates of the center of

Find the original price of a pair of shoes if the sale price is $168 after a 20% discount.
A. $210
B. $840
C. $93.20
D. $336​

Answers

Answer:

A. 210

Step-by-step explanation:

a cylinder can has a radius of 4.4 centimeters and a height of 3.3 centimeters, what is the volume in cub is centimeters of the can? round it to the nearest tenth

Answers

Answer:

The volume is 200.7 cm^3

Step-by-step explanation:

The volume of a cylinder is:

Vol = pi•r^2•h

The radius and height were given, so fill them in.

V = pi • (4.4)^2 • 3.3

V = 200.710071

This is the answer you get if you use the pi key on the calculator.

Round to the nearest tenth.

V = 200.7

The volume is 200.7cm^3.

***(If your teacher/class/text/program says to use 3.14 for pi, the answer will come out as 200.6)

1. The Environmental Protection Agency has determined that safe drinking water should contain no more than 1.3 mg/liter of copper. You are testing water from a new source, and take 30 water samples. The mean copper content in your samples is 1.36 mg/l and the standard deviation is 0.18 mg/1. There do not appear to be any outliers in your data. (a) Do these samples provide convincing evidence at the 0.05 level that the water from this source contains unsafe levels of copper? Justify your answer. Justify the conditions for Independence. Be sure to answer within the context of the problem. * Your answer This is a required question Justify the conditions for Normality. Be sure to answer within the context of the problem. * Your answer O This is a required question

Answers

Based on the statistical analysis, there is not enough evidence to conclude that the water from the new source contains unsafe levels of copper at the 0.05 significance level.

What is statistics ?

Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It involves applying mathematical and statistical techniques to extract meaningful insights from data, and to make decisions and predictions based on this information. Statistics is used in a wide range of fields, including business, economics, social sciences, health sciences, engineering, and more. It helps researchers, analysts, and decision-makers to identify patterns, relationships, and trends in data, and to draw conclusions based on statistical evidence.

According to given information :

(a) To test whether the water from this source contains unsafe levels of copper, we need to perform a one-sample t-test with the null hypothesis that the mean copper content in the water is less than or equal to 1.3 mg/l and the alternative hypothesis that the mean copper content in the water is greater than 1.3 mg/l.

The test statistic is calculated as:

t = (x - μ) / (s / √n)

where x is the sample mean (1.36 mg/l), μ is the hypothesized population mean (1.3 mg/l), s is the sample standard deviation (0.18 mg/l), and n is the sample size (30).

Plugging in the values, we get:

t = (1.36 - 1.3) / (0.18 / √30) = 1.47

The degrees of freedom for this test is n - 1 = 29.

Using a t-table or calculator, we find the p-value associated with a t-statistic of 1.47 and 29 degrees of freedom to be approximately 0.076.

Since the p-value is greater than the significance level of 0.05, we fail to reject the null hypothesis. Therefore, there is not enough evidence at the 0.05 level to conclude that the water from this source contains unsafe levels of copper.

Conditions for Independence: It is assumed that the water samples are independent of each other. This is because the sample is randomly selected and the size is less than 10% of the population. Also, it is assumed that the copper content in one water sample does not affect the copper content in another water sample.

Conditions for Normality: It is assumed that the distribution of the copper content in the population is approximately normal. We can justify this assumption based on the central limit theorem, which states that the distribution of the sample mean approaches normality as the sample size increases. Since the sample size is 30, we can assume that the sample mean follows a normal distribution. We can also check the normality assumption by creating a histogram or a normal probability plot of the data.

Therefore, based on the statistical analysis, there is not enough evidence to conclude that the water from the new source contains unsafe levels of copper at the 0.05 significance level.

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Jack has a bag of coins. The bag
contains 8 dimes, 4 nickels, 3
pennies, and 1 quarter. He will
randomly select 2 coins from the bag
at one time without replacement
What is the probability that Jack will
select 2 dimes?

a. 15/23
b. 7/30
c. 5/9
d. 1/2

Answers

Answer:

i think 1 half sorry if i am wrong

Step-by-step explanation:

Determine the shaded area

Determine the shaded area

Answers

The shaded area is 169.56 inch² for the given set of semicircles with radius 6 inch and 12 inch.

What is area?

The size of a region on a surface is measured in area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas area of a plane region or plane area refers to the area of a shape or planar lamina. The total space occupied by a flat (2-D) surface or the shape of an object is defined as its area. Draw a square on a piece of paper with a pencil. It is a two-dimensional figure. The area of the shape on the paper is referred to as its Area. Consider your square to be made up of smaller unit squares.

Here,

area1=1/2*3.14*r²

=0.5*3.14*12²

area2=1/2*3.14*r²

=0.5*3.14*6²

area=area1-area2

=0.5*3.14*12²-0.5*3.14*6²

=169.56 inch²

The shaded area for the given set of semicircles with radius 6 inch and 12 inch is 169.56 inch².

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In the equation y = 7x + 3, as the value of x decreases by 1, what happens to the value of y?

Select one:

a. It increases by 3.
b. It decreases by 3.
c. It increases by 7.
d. It decreases by 7.

Answers

Answer:D.it decreases by seven

Please help asap, The area of the living room is:
A. 20 m²
B. 25 m²
C. 15 m²
D. 9 m²

Please help asap, The area of the living room is:A. 20 mB. 25 mC. 15 mD. 9 m

Answers

Answer:

All these rooms are rectangles so to find the

area of the rooms multiply length by width.

Living Room: 5x4 = 20 m^2

Answer:

A: 20m^2

Step-by-step explanation:

a= lw

a= 4(5)

a=20

Jan went to the mall to buy 9 crop tops but she seen 201 other and she 1,000,000,000,000,000,000,000,00 dollars

Answers

Answer: buy all the crop tops

Step-by-step explanation:

Answer:

Well with that amount of money u should most definitely buy them, if you liked the of course

Step-by-step explanation:

I'm just saying

Determine the intercepts of the line.

y-intercept:

x-intercept:

Determine the intercepts of the line.y-intercept:x-intercept:

Answers

Answer:

y intercept - (0, 275)

x intercept - (0, 125)

Step-by-step explanation:

Which line is written in slope intercept form with m = -3 and b = 5?
A.) y=5x-3
B.)y=-3x+5
C.)-3x+5y=2
D.)y= -3/5x

Answers

Answer:

B , y = -3x + 5 hope this can help you !

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