What is the approximate area of a semicircle with diameter of 22 inches

Answer:

Not inverse of each other

Domain : [-∞,0) U (0,5) U (5,∞]

Step-by-step explanation:

Given in the question two functions

f(x)=1/x-5

g(x)=5x-1/x

To find that each of them are inverse of each other we will use composition

[tex]\frac{1}{\frac{5x-1}{x}-5 }[/tex]

take LCM

[tex]\frac{1}{\frac{5x-1-5x}{x}}[/tex]

5x will be cancel

[tex]\frac{1}{\frac{-1}{x}}[/tex]

1 ÷ (-1/x)

1 × (-x/1)

-x

Now,

[tex]\frac{5\frac{1}{x-5} -1}{\frac{1}{x-5}}[/tex]

[tex]\frac{5}{x-5} -1}[/tex] × [tex]5-x[/tex]

[tex]\frac{5-x+5}{x-5} * (x-5)[/tex]

10-x

As it ended up with different answers, so f(x) and g(x) are not inverse of each other

The domain are all the possible x-values of function except x ≠ 0 and x ≠ 5

We can conclude that the domain of the composition function is

Domain : [-∞,0) U (0,5) U (5,∞]

To prove whether or not the functions f(x) = 1/(x-5) and g(x) = (5x-1)/x are inverses of each other, we need to show that their compositions result in the identity function. We also need to find the domain of the compositions f(g(x)) and g(f(x)).

To prove whether or not the functions f(x) = 1/(x-5) and g(x) = (5x-1)/x are inverses of each other, we need to show that their compositions result in the identity function. Let's start by finding the composition f(g(x)):

Now, we need to find the composition g(f(x)): g(f(x)) = g(1/(x-5))

Follow the same steps as above to simplify g(f(x)) as a function of x. If the compositions f(g(x)) and g(f(x)) both result in the identity function, then the functions f(x) and g(x) are inverses of each other.

To express the domain of the compositions f(g(x)) and g(f(x)), we need to consider the restrictions on the domains of the individual functions. The domain of f(g(x)) will be the values of x for which (5x-1)/x is defined, and the domain of g(f(x)) will be the values of x for which 1/(x-5) is defined.

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Answer:

C

Step-by-step explanation:

You are making a couple of assumptions. The first is that since the given has units of m/s that requires an acceleration based in m/s^2. That eliminates choices A and B. 16 is usually associated with f/s^2

Second, you are assuming 42m/s is positive and the acceleration due to gravity is negative. It doesn't matter as long as they are opposite.

Third, you are assuming that 42 m/s is the vertical acceleration.  If it is not then some sort of trigonometry is needed. Since your choices don't offer trig then this assumption must be taken care of.

So the correct answer is C.

Answer:

(x+1)^2 + (y-6)^2 = 3^2

Step-by-step explanation:

The general equation for a circle is given by

(x-h)^2 + (y-k)^2 = r^2

where (h,k) is the center and r is the radius

Substituting in the point (-1,6) and the radius 3

(x--1)^2 + (y-6)^2 = 3^2

(x+1)^2 + (y-6)^2 = 3^2

Answer:

25 more items

Step-by-step explanation:

Employees need to stock at least 42 each day for a whole week or work. (5 days) so wee need to find how much they need to stock in a week.

42 x 5 = 210.

So They need to stock 210. Employee A has already stocked 185. so we need to take 185  from 210 to see how MORE he needs to stock.

210 - 185 = 25.

25.

Hope this helped! Please mark as brainliest! THanks!

In order to be able to make the goal that was set for the employee, the employee would have to re-stock 25 products.

The worker is supposed to stack an average of 42 products from Monday to Friday which is 5 days.

Technically speaking, in every one of those 5 days, 42 products should be stocked. The total for the week is therefore:

= 5 days x Number of products stocked per day

= 5 x 42

= 210 products

The worker has stocked 210 products already and so is left with:

= Number to be stocked - Number already stocked

= 210 - 185

= 25 products

In conclusion, the worker still has to re-stock 25 products.

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10km+9hm+16adm+19m

I think your trying to question about combining the like terms?

The student is asked to add two sets of distances in various units. The sum of 3km 9hm 9dam 19m and 7km 7dam is converted to meters and added together, resulting in a total of 11 kilometers and 149 meters.

The question involves the addition of distances in different units, namely kilometers (km), hectometers (hm), decameters (dam), and meters (m). The student is asked to perform an addition of 3km 9hm 9dam 19m and 7km 7dam. To solve this, we must first convert all units to meters, add them up, and then convert back to the appropriate unit if necessary.

Step-by-step solution:

This results in a total distance of 11 kilometers and 149 meters.

Answer:

sin, cos, sec, csc  

Step-by-step explanation:

If the terminal side passes through (-1, -1), the angle θ = 225° and is in the third quadrant.

sinθ = opp/hyp = -/+  =  -

cosθ = adj/hyp  = -/+ =  -

tanθ = opp/adj  = -/-  = +

cotθ = adj/opp  = -/-  = +

secθ = 1/cosθ            =  -

cscθ = 1/sinθ             =  -

The functions that will be negative for the angle are sin, cos, sec, and csc.

Answer: 29.41 pounds

Step-by-step explanation:

You have the following information given in the problem:

- The fat percentage that the person has is 17.2%

- The person weighs 171 pounds.

Therefore, to calculate the amount of pounds of her weight is made up of fat (which you can call x), you must multiply the weight of the person by the fat percentage.

Therefore, you obtain the following result:

[tex]x=171lb*0.172\\x=29.41lb[/tex]

Answer:

3.2 inches

Step-by-step explanation:

1. The outlier is 23 inches, it is very big compared to the other numbers.

2. The average is 6 inches.

3. The deviations are: 4, 3, 5, 3, 1, 4, 4, 4, 3, and 1.

4. The mean of those numbers is 3.2 inches.

Answer:

THE ANSWER IS 3.2 INCHES

Step-by-step explanation:

Graph y because your y intercept is equal to -3 so that’s where you would start. Then your slope is equal to rise over run so you would go up 1 unit and right 3 since it’s positive

Answer:

V=18.75 or 18 3/4

Step-by-step explanation:

The formula for a rectangle prism is V=L×W×H

V=L×W×H

V= 3×2.5×2.5

V=18.75 or 18 3/4

Answer:

2016 apex approved

Step-by-step explanation:

Answer:

Dora must have planned to repay her debts no later than year 2016.

Step-by-step explanation:

When a person enters into a Chapter 13 bankruptcy case, he or she can reorganize his/her debts or unpaid mortgage or any other loan payment. This can be paid off between three to five years with five years being the maximum allotted time frame.

So, if Dora filed for chapter 13 bankruptcy in 2011, she must have planned to repay her debts no later than [tex]2011+5=2016[/tex]

The probability of choosing Wednesday is 1/7

There are 7 days in a week, and one of the days is Wednesday.

So, we have:

Days = 7

Wednesday = 1

The probability of choosing Wednesday is calculated as:

P(Wednesday) =Wednesday/Days

This gives

P(Wednesday) = 1/7

Hence, the probability of choosing Wednesday is 1/7

Read more about probability at:

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Answer: The graph is attached.

Step-by-step explanation:

1. Solve for y, as following:

[tex]10x+7y<49\\7y<-10x+49\\y<-\frac{10}{7}x+\frac{49}{7}\\\\y<-\frac{10}{7}x+7[/tex]

2. The equation of the line in slope intercept form is:

[tex]y=mx+b[/tex]

Where m is the slope and b is the y-intercept.

3. In this case the equation of the line is:

[tex]y=-\frac{10}{7}x+7[/tex]

then:

[tex]m=-\frac{10}{7}\\\\b=7[/tex]

4. Find the x-intercept. Make y=0. Then:

[tex]0=-\frac{10}{7}x+7\\\frac{10}{7}x=7\\x=4.9[/tex]

5. Then, plot the line that passes through the points (0,7) and (4.9, 0).

6. The symbol of the inequality is < therefore, the line must be dashed and indicates that the region under the line must be shaded.

Then you obtain the graph attached.

Answer:

We need to graph the given inequality 10x + 7y < 49.

We can do that into 2 parts:

Part 1:

Graph the line 10x+7y=49

plug any number for x say x=0

10x+7y=49

10(0)+7y=49

0+7y=49

7y=49

y=49/7

y=7

hence it passes through point (0,7)

similarly plug y=0

10x+7(0)=49

10x=49

x=49/10

x=4.9

hence it passes through point (4.9,0)

Graph both points then join them by a straight dotted line because of < sign.

PART 2:

Shade the graph for inequality sign <

use any test point which is not on the given line say (0,0)

plug into original problem

10x + 7y < 49

10(0) + 7(0) < 49

0<49 is true

so shade in direction of test point

Hence final graph looks like:

Answer: April is correct.

Step-by-step explanation: According to the methods used in systems of equations, if we are to solve this system by setting up the equations

(3 = -2x + 1), we see that the solution is x = -1. If you substitute this x-value back into the original equation, y = -2x + 1, we get the answer y = 3 and thus, receiving the solution to the system (-1,3). Anthony is wrong because the graph includes an extra line at x = 3, throwing off his answers.  

Answer:

x = 75 degrees

Step-by-step explanation:

155 and the angle next to it makes 180 degrees

To find the missing angle take 180 and subtract 155

180 - 155 = 25

All the angles in the upper triangle are 25, 80 and x

To find x add 80 and 25

80 + 25 = 105

A triangle equals 180 degrees so subtract 105 from 180 to get x

180 - 105 = 75

Hope this helps.

Answer: The angle is 75°

Step-by-step explanation:

Please give the other person brainliest, they deserve it :3

Answer:

a = 115, b = 71

Step-by-step explanation:

The figure has one pair of parallel sides and is a trapezium.

Using a property of trapeziums

• each lower base angle is supplementary to the upper base angle on the same side.

a = 180 - 65 = 115

b = 180 - 109 = 71

Answer:

After 50 years the stock value will be $50 per share.

Step-by-step explanation:

Simple Interest Equation (Principal + Interest)

A = P(1 + rt)

Where:

A = Future amont = $50

P = Principal Amount = $40

r = Rate of Interest per year in decimal; r = R/100 = 0.5/100 = 0.005

t = Time Period involved in months or years  

Plug in the values

50 = 40(1 + 0.005t)

50 / 40 = (1 + 0.005t)

5/4 = 1 + 0.005t

5/4 - 1 = 0.005t

0.25 = 0.005t

t = 0.25 / 0.005

t = 50 years

Answer:

44. 7 yr

Step-by-step explanation:

The compound interest equation is

[tex]A = P(1+ \frac{r }{ n})^{nt}[/tex]

You don't give the frequency of compounding, so I will assume that it is once per year.

Data:

P = $40

r = 0.5 % = 0.005

n =1  

Calculations:

(a) Calculate A

A = P + I = 40 + 10 = $50

(b) Calculate t

[tex]50 = 40(1+ \frac{0.005 }{ 1})^{1 \times t}\\50 = 40(1+ 0.005)^{t}[/tex]

Divide each side by 40

[tex]1.25 = 1.005^{t}[/tex]

Take the logarithm of each side

 log1.25 = tlog1.005

0.09691 = 0.002 166t

Divide each side by 0.002 166

t = 44.7 yr

The value of the stock will be $50 in 44.7 yr.

Answer:

The equation of the hyperbola in standard form is

[tex]\frac{y^{2}}{100}-\frac{4x^{2}}{625}=1[/tex]

Step-by-step explanation:

* We will take about the standard form equation of the hyperbola

- If the given coordinates of the vertices (0 , a) and (0 , -a)

∴ The transverse axis is the y-axis. (because x = 0)

- If the given asymptotes at y = ± (b/a) x

∴  Use the standard form  ⇒ y²/a² - x²/b² = 1

* Lets use this to solve our problem

∵ The vertices are (0 , 10) and (0 , -10)

∴ a = ±10

∴ a² = 100

∵ The asymptotes at y = ± 5/4 x

∴ ± 5/4 = ± b/a

∵ a = ± 10

∴ ± 5/4 = ± b/10 ⇒ using cross multiplication

∴± (4b) = ± (5 × 10) = ± 50 ⇒ divide both sides by 4

∴ b = ± 25/2

∴ b² = 625/4

* Now Lets write the equation

* y²/100 - x²/(625/4) = 1

∵ x² ÷ 625/4 = x² × 4/625 = (4x²/625)

∴ y²/100 - 4x²/625 = 1

* The equation of the hyperbola in standard form is

  [tex]\frac{y^{2}}{100}-\frac{4x^{2}}{625}=1[/tex]

Answer:

n E R

Step-by-step explanation:

Since 7n-8 is a linear equation with no restrictions, n's domain is real numbers.

Answer:

Step-by-step explanation:

with 1st term = -1. and common difference is 7

in this series we can say that 1st term is -1 , 2nd term is 6 , 3rd term is 13 , and so on

therefore in a series we cannot define a 0th term , so here n will be greater than or equal to 1.

It’s a heptagon, which has seven points.

Answer:

A Polygon that has 7 points would have to be a heptagon.

Step-by-step explanation:

A) would be the correct answer

Answer:

The scale factor is 1.5

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

so In this problem

Let

z -----> the scale factor

[tex]z=\frac{B'C'}{BC}=\frac{C'D'}{CD}=\frac{D'A'}{DA}=\frac{A'B'}{AB}[/tex]

substitute the values

[tex]z=\frac{3}{2}=\frac{4.5}{3}=\frac{4.5}{3}=\frac{4.5}{3}[/tex]

therefore

[tex]z=1.5[/tex]

The scale factor is 1.5

Answer:

5 strides because 6-1=5

Step-by-step explanation:

➷ You just need to count the number of squares. It would be 5 strides.

The mathematical way is using the y values:

6 - 1 = 5

It is 5 strides.

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

Answer:

The circle's diameter is [tex]4\ yd[/tex]

Step-by-step explanation:

we know that

The circumference of a circle is equal to

[tex]C=\pi D[/tex]

where

D is the diameter of the circle

In this problem we have

[tex]C=12.56\ yd[/tex]

[tex]\pi=3.14[/tex]

substitute the values and solve for D

[tex]12.56=(3.14)D[/tex]

[tex]D=12.56/(3.14)=4\ yd[/tex]

The answer is x = -2

Answer:

x=-2

Step-by-step explanation:

2x=-4

x=-2

Answer:

13:12

Step-by-step explanation:

52% 2400 = 1248

48% 2400 = 1152

Reduce to 13/12 = 13:12

Answer:

Yes, you can translate a mathemetical expression into a verbal expression.

Step-by-step explanation:

If that explantion was not helpful, you can always read out the equation verbally. For example, you can say that "three more than x" can be written as an algebraic expression. x + 3 x+ 3 x+3 .

The value of X is 112° and The value of Y is 68°

Answer:

Angle y: 68°

Angle x: 112°

Step-by-step explanation:

When you are dealing with two sets of parallel lines where one set intercepts the other, angles are always the same as the parallel line's angle. In this example

∡PM = 68° = ∡y°

Seeing that we now know that y is 68° and q is a straight line (Straight Lines have an angle of 180°) we can subtract 68° from 180° in order to get the degree of the angle x.

180° - 68° = 112°

Now we know that angle y is 68° and angle x is 112°

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

Answer:

Step-by-step explanation:

The last (fourth) graph is that of the parent function y = √x.  The negative sign in front of √x leads to reflection of this parent function graph in the x-axis.  Thus, the correct graph of f(x) = -√x is the first one.