Let f(x) = 5x + 12. Find f−1(x).

Answers

Answer 1

Answer:

[tex]f(x)=5x+12\\\\ f^{-1}(x):\\ y=5x+12\ \ \ |Subtract\ 12\\ y-12=5x\ \ \ |Divide\ by\ 5\\ \frac{y-12}{5}=x\\\\ f{-1}(x)=\frac{x-12}{5}[/tex]

Step-by-step explanation:

Answer 2

Answer:

f^-1(x) = x/5 - 12/5

Step-by-step explanation:

f(x) = 5x + 12

y = 5x + 12

x = 5y + 12

5y = x - 12

y = x/5 - 12/5

f^-1(x) = x/5 - 12/5


Related Questions

What is the range of the function shown in the graph below? answer type: interval, all real values except one, all real values except two, all real numbers Interval:

Answers

Answer:

Step-by-step explanation:

There is a graph from minus infinity to y = -6.

The range is (-infinity, -6).  

The domain of the graphed function is (-∞, 8] and the range of the graphed function is (-∞, -6].

What are domain and range?

The domain means all the possible values of x and the range means all the possible values of y.

The function is shown.

The domain of the graphed function will be given by observing the graph.

Then the domain will be (-∞, 8].

And the range of the graphed function will be given by observing the graph.

Then the range of the graphed function will be (-∞, -6].

Thus, the domain of the graphed function is (-∞, 8] and the range of the graphed function is (-∞, -6].

More about the domain and range link is given below.

https://brainly.com/question/12208715

#SPJ2

I have 31 stamps total. I have 4 more 1-cent stamps than 8-cent stamps and twice as many one cent stamps as 12 cent stamps. If my stamps are worth $1.78 altogether how many one cent stamps do I have?

Answers

Answer: 14 1-cent stamps (in case anyone else still needs)

Step-by-step explanation:

1-cent stamps=x

8-cent stamps=x-4

12-cent stamp=.5x

x+x-4+.5x=31

2.5x-4=31

2.5x=35

x=14

You can use the $1.78 to double check:

(1*14)+(8*10)+(12*7)

14+80+84=178 cents (or $1.78)


Jerome currently has an account balance of $1,859.55. His initial deposit on the account was $825 and it earned 5.7% simple interest. How long has Jerome held the
account?

Answers

Answer:

22 years

Step-by-step explanation:

Well we know the formula for simple interest is

I = PRT

I = interest earned

P = initial balance

R = rate

T = time

We want to solve for time here....so rearrange for T

T= I/(PR )

We have

P = 825

R = .057

And I = current balance - initial balance = 1859.55 - 825 = 1034.55

So plugging all those in we have

T = 1034.55/(825×.057 )

T = 1034.55/47.025

T = 22

It was held for 22 years.

The answer for this would be 22 Years.

A box has a total surface area of 100. The length of the box is equal to twice its width, as well as equal to 3 less than its height. What is the height of the box?

Answers

Answer:

h=7

Step-by-step explanation:

First we need to define the formula for surface area

2(wl+hl+hw)=100

Now we can replace length with x

That makes width .5x and height x+3

2(.5x^2+x^2+3x+.5x^2+1.5x)=100

2(2x^2+4.5x)=100

2x^2+4.5x=50

2x^2+4.5x-50=0

Insert into quadratic equation (a=2x^2, b=4.5, c=-50)

x=4 or -6.25

x can't be negative so x is 4

h=x+3=7

h=7

I think it’s 7 sorry if it’s wrong Chile :)

Please answer and show steps. Will mark brainliest.

Answers

Answer:

  13.4 meters

Step-by-step explanation:

About the diagram

Attached is a diagram of the problem. The directions North and East are shown so that the usual clockwise from +x measurement of angles will correspond to the bearing angles given in the problem. That is, the bearing of 120° is an angle of 120° measured from North toward East. (The mirroring across the line y=x can be a little mind-bending, but it is isomorphic, so all angles and lengths remain unchanged.)

The other feature of this diagram is the projection of the 3-D problem into two dimensions. Effectively, the center angle rabbit-O-coyote represents a plan view (in the plane of the ground), and the triangles coyote-O-C1 and rabbit-O-R1 represent side views (views in the vertical plane).

The side views let us work out the ground distances O-rabbit and O-coyote, so that we can find the ground distance rabbit-coyote as the problem requests.

__

Problem solution

The distance from the tree (O) to the rabbit is the "adjacent" leg of the 30° angle of elevation from the rabbit to the tree top. The 10 m tree height is the "opposite" leg of that rabbit-O-R1 right triangle. We know the ratio of opposite to adjacent sides gives the tangent of the angle, so we have ...

  tan(30°) = 10/(rabbit distance from tree)

Solving for the rabbit distance, we get

  rabbit distance = 10/tan(30°) ≈ 17.3205 m

Similarly, the coyote distance from the tree will be ...

  coyote distance = 10/tan(20°) ≈ 27.4748 m

__

These are two legs of the rabbit-O-coyote triangle. The angle at O between the rabbit and coyote is 120° -97° = 23°. These values are sufficient to let us use the Law of Cosines to find the distance d from rabbit to coyote:

  d² = r² +c² -2rc·cos(23°)

  d² = 17.3205² +27.4748² -2·17.3205·27.4748·cos(23°) ≈ 178.769

  d ≈ √178.769 ≈ 13.37 . . . . meters

The distance from the rabbit to the coyote is about 13.4 meters.

_____

Additional comment

Note that the angle of depression to the rabbit from the horizontal is the same as the angle of elevation from the rabbit. This lets us draw the diagram without a bunch of extra lines.

can somewon help i need help

Answers

Answer:

1875 cm3

Step-by-step explanation:

20 * 20 * 5 - (5 * 5 * 5) = 1875 cm3

Answer:

1,875

Step-by-step explanation:

Plz help I’ll mark brainliest

Answers

Answer:

Step-by-step explanation:

Using Pythagoras Theorem, hypotenuse = 5

[tex]h = \sqrt{a^{2}+ b^{2}[/tex]

[tex]h = \sqrt{9+16 }\ = \sqrt{25}\ = 5[/tex]

sin x = height / hypotenuse = 3 / 5

cos y = base / hypotenuse = 3 / 5

sin x = cos y = 3 / 5

Ok the answer is Sin x cos y=5

pls help this is from khan academy

Answers

Answer:

[tex]y=-3x+7[/tex]

Step-by-step explanation:

This is asking you to provide the equation is slope-intercept form:

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

In this equation, m is the slope of the line and b is the y-intercept (where the x value is 0).

By looking at the graph, we can find the y-intercept:

[tex]y-intercept=7\\\\m=7[/tex]

To find the slope of the line, you can count how many spaces it takes to go from one point to another. To do this, it's best to find an even point (1,4) and make your way to (0,7).

The slope is represented by [tex]\frac{rise}{run}[/tex] , where the rise is the change in the y-axis and the run is the change in the x-axis.

From (1,4) , move up (rise) as many spaces as it takes to get to the y-axis level of "7", which is 3 spaces. From  here, move to the left (run) as many spaces as it takes to get to the x-axis level of "0", which is 1 space. Since you moved to the left, however, this means that the number will be a negative:

[tex]\frac{rise}{run}=\frac{3}{-1}=-\frac{3}{1}=-3[/tex]

The slope is -3.

Insert the information into the equation:

[tex]y=-3x+7[/tex]

:Done

Answer:

the desired equation is y = -3x + 7

Step-by-step explanation:

The y-intercept can be read directly from the graph:  (0, 7).  

Another point on the graph is (2, 1).

As we move from (0, 7) to (2, 1), we see x (the run) increasing by 2 and y (the rise) decreasing by 6.  Thus the slope of this line is m = rise/run = -6/2, or -3.

Start with the slope-intercept form of the equation of a straight line, which is y = mx + b.

Then 1 = (-3)(2) + b; find b:

1 = -6 + b, or b = 7

Then the desired equation is y = -3x + 7.

PLEASE HELP PLEASE WILL MARK BRAINLY

Answers

Answer:

15, 5, 45, 10

Step-by-step explanation:

2 minutes for 10 photos

1 minute for 5 photos

now:

2×5=10

3×5=15

25÷5=5

9×5=45

50÷5=10

15 5 45 10
You’re welcome

*PLEASE ANSWER TY* A scale factor of 2 is applied to the dimensions of the prism. What effect will this have on the volume?

Answers

Answer:

The volume will be 8 times larger.

Step-by-step explanation:

Volume is cubed which means the volume will be multiplied by 2³ is a scale factor of 2 is applied to the dimensions. 2³ = 8

The volume will be 8 times larger if the scale factor of 2 is applied to the dimensions of the prism option (C) the volume will be 8 times larger is correct.

What is volume?

It is defined as a three-dimensional space enclosed by an object or thing.

We have a three-dimensional figure shown in the picture.

The scale factor = 3

As we know, the volume can be found:

Volume = length×width×height

Let the volume of the figure is A

Volume = A cubic in

If the scale factor is applied to the dimensions of the prism:

The volume:

Volume =  (2)length×(2)width×(2)height

Volume = 2³(length×width×height)

Volume = 8A

Thus, the volume will be 8 times larger if the scale factor of 2 is applied to the dimensions of the prism option (C) the volume will be 8 times larger is correct.

Learn more about the volume here:

https://brainly.com/question/16788902

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NEED IT ASAP
Tony is shopping for new tires for his 4-wheel-drive truck. In addition to the price of the tires, there is a 10% sales tax plus a state-mandated $45 fee for disposing of his old tires. If Tony has determined that he will spend less than $559.80 total, then what is the price range he can spend on the tire set?

Answers

Sry couldn't find the answer

he could spend anything below 468

find the x value for this problem

Answers

180 - 105 = 75

180 = 75 + 25 + x
x = 180 - 75 - 25
x = 80°

Answer:

x = 80

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

25+x = 105

Subtract 25 from each side

25+x-25 = 105-25

x = 80

I will give BRAINIEST to the next person who answers this!!

Answers

Answer:

Challenge #1:

Different examples:

2x+1=3x+2

4x+3=5x+4

3x+2=4x+3

Challenge #2:

Different examples:

2x+0=4x+1

3x+1=2x+5

6x+5=8x+6

Answer:

(-2x + 1 = 1x + 1) or (-4x + 2 = 2x + 2)

Step-by-step explanation:

Among Patients who did not relapse which statement was most effective and what’s its conditional relative frequency

Answers

Answer:

For those who achieve a year of sobriety, less than half will relapse. If you can make it to 5 years of sobriety, your chance of relapse is less than 15 percent.

So A

Answer:

2

Step-by-step explanation:

On a map the scale showing is 1 inch by 5 mi if a park is 75 square miles what is the area of the park on the map. The parks area is _____ square inches on the map

Answers

Answer: 15 square Inches

Step-by-step explanation: I believe you should divide 75 and 5(75mi÷5mi=15in) to get 15in.

Answer: 3 square inches.

If the park is 25 square miles, it could be 5×5 miles. If the scale is 1 inch = 5 miles, that would be 1×1 inch or 1 square inch on the map. Since 75 is 3×25, it will be 3×1 square inches on the map.

Step-by-step explanation: Remember that the scale represents linear measurements. For area, you must square the linear "sides" to get the number of actual square units represented by a square unit on the map.

I don't understand this question, somebody help

Answers

Answer:

H. 50 sq cm

Step-by-step explanation:

Triangle PSU is an equilateral triangle because each side of it is a radius of semicircle TRP. Also, the radius of semicircle TRP is the short side of the rectangle. So, if the total perimeter of the triangle is 15, each side is 5 cm. So, the short side of the rectangle is 5cm and the long side is 5*2 = 10 cm.

5 * 10 = 50 sq cm

i need points really bad so yea

!50 POINTS! GIVE REAL ANSWER OR I REPORT PLZ NO TROLLS! An executive drove from his home at an average speed of 35 mph to an airport where a helicopter was waiting. The executive then boarded the helicopter and flew to the corporate offices at an average speed of 78 mph. The entire distance from his home to the office was 169.5 miles. If the executive spent the same amount of time in the car as he did the helicopter, how long did it take the executive to get to work?

Answers

Answer:

it took him 3 hours to get to work

Step-by-step explanation:

For the first part of the trip, the executive covered a distance "d" in time 't" at 35 mph, therefore we can write that the time it took to get to the helicopter was:

[tex]t-\frac{d}{35}[/tex]

which if the distance is in miles, will render the time in hours.

We can write something similar for the second part of the trip", using the same "t" since it took the same time as for the first one, and using for distance 169.5 - d (since it is the distance to complete the total traveled distance :

[tex]t=\frac{169.5-d}{78}[/tex]

Now we equal those two equations because the time "t" is the same, and solve for "d":

[tex]\frac{d}{35} =\frac{169.5-d}{78} \\78\,d=35\,(169.5-d)\\78\,d=5932.5-35\,d\\(78+35)\,d=5932.5\\d=\frac{5932.5}{113} \\d=52.5[/tex]

Now, knowing the distance covered in the first trip, we can find the time of that first trip:

[tex]t=\frac{52.5}{35} =1.5\,\,hours[/tex]

Therefore, the time it took for thye total trip is: 1.5 h + 1.5 h = 3 hours

Mathematics, probability and chance Can somebody help me, I always thank and vote

Answers

Answer:

A. 0

Step-by-step explanation:

In order for there to be a 1 in 3 chance, there would have to be an equal number of the three chalices.  Since four is the smallest number, the other two must have four left as well.  That means Donavan drank 1 spoiled milk and 2 flat sodas.  Therefore, he drank 0 purified water.

It would be A hope you get it right good luck

The Greenbaum family agreed to pay for 3 months of an online TV service in exchange for a $5 credit on the bill each month. If the Greenbaums spend a total of $11.85 on the service over the 3 months, what is the normal price of one month of online TV service?
$5.00
$6.85
$8.95
$30.55

Answers

$8.95
divide $11.85 by 3 and you get 3.95 then add the $5
Your answer will be $8.95

A grocery store recently sold a bag of peanuts for $0.76 and a bag of Pikachu's for $3.68 at the end of the day 50 bags of peanuts and Pikachu's were sold for a total of 128 point 52 how many bags of each were sold

Answers

Answer:

31 Pikachu bags were sold.

19 peanut bags were sold.

Step-by-step explanation:

Let's set up an equation of the total revenue of the day, where x is the number of Pikachu's sold.

We know that the number of Peanuts sold is 50-x (as the total needs to be 50)

We know that the total revenue is:

Number of Pikachus * Cost per Pikachus + Number of Peanuts * Cost per Peanuts

Using our definitions above:

Total Revenue = x * $3.68 + (50-x) * $0.76

We know that the revenue needs to be $128.52.

$128.52 = x * $3.68 + (50-x) * $0.76

Let's remove the $ signs.

128.52 = x * 3.68 + (50-x) * 0.76

Multiplying both 50 and -x with 0.76, "expanding" the parenthesis.

128.52 = x*3.68 + 50*0.76 - x*0.76

128.52 = x*3.68 + 38 - 0.76*x

Subtracting 38 from both sides

90.52 = 3.68*x - 0.76*x

We can simplify the right side.

90.52 = 2.92*x

We can divide both sides by 2.92:

31 = x

And flip it:

x = 31

So 31 Pikachus were sold (remember we claled that x), and as we know, the number of peanut bags sold is

50-x = 50-31 = 19

31 Pikachu bags were sold.

19 peanut bags were sold.

[tex] \LARGE{ \boxed{ \rm{ \pink{Solution:}}}}[/tex]

Let the number of peanut bags be x

Then, Number of pikachu bags = 50 - x

Given,

Cost of each peanut bag = $0.76Cost of each pikachu bag = $3.68

Then,

⇛ Total cost he gets from peanut bag = $0.76 × x

⇛ Total cost he gets from pikachu bag = $3.68(50 - x)

According to question,

⇛ $0.76x+ $3.68(50 - x) = $128.52

Solving this equation,

⇛ 0.76x + 184 - 3.68x = 128.52 (Removed $ symbol)

⇛ 184 - 2.92x = 128.52

⇛ 184 - 128.52 = 2.92x

⇛ 55.48 = 2.92x

Flipping the equation,

⇛ 2.92x = 55.48

⇛ x = 55.48 / 2.92

⇛ x = 19

Then,

⇛ 50 - x = 50 - 19 = 31

[tex] \large{ \therefore{ \boxed{ \rm{ \purple{No. \: of \: peanut \: bags = 19}}}}}[/tex]

[tex] \large{ \therefore{ \boxed{ \rm{ \purple{No. \: of \: pikachu \: bags = 31}}}}}[/tex]

━━━━━━━━━━━━━━━━━━━━

Randomly pick 5 points from a sphere. Show that you can always find a closed semi-sphere (half a sphere and boundary) that contains 4 points.

Answers

4 4 6 8 is the answer to this question

i need help please ​

Answers

Answer:

A. 1010 FT^3

Step-by-step explanation:

19 x 14.5 x 5 = 1377.5

you need to subtract now, so the only option would be A

Answer:

[tex]1,010 ft^{3}[/tex]

Step-by-step explanation:

You can break the figure into 2 sections; one with the dimensions of 4, 5 and 7; the other with dimensions of 14.5, 5, and 12.

Multiply the first three dimensions (4, 5 and 7) to get 140 ft cubed.

Multiply the last three dimensions (14.5, 5, and 12) to get 870 ft cubed.

Now, just add both volumes together to get 1,010 ft cubed!

Hope that helps and maybe earns a brainliest!

Have a great day! :)

Directions: Calculate the percent increase or decrease between the starting and ending
quantities below. Round your answer to one decimal place.
1. Start: 3
End: 10
2. Start: 9
End: 20
3. Start: 100
End: 85
4. Start: 45
End: 20
5. Start: 30
End: 60

Answers

I'll do the first two to get you started

===============================================

Problem 1

A = 3 = starting value

B = 10 = ending value

C = percent change

C = [ (B - A)/A ] * 100%

C = [ (10-3)/3 ] * 100%

C = (7/3) * 100%

C = 2.3333333 * 100%

C = 233.33333%

C = 233.3%

The positive C value means we have a percent increase. If C was negative, then we'd have a percent decrease.

Answer: 233.3% increase

===============================================

Problem 2

A = 9 = start value

B = 20 = end value

C = percent change

C = [ (B - A)/A ] * 100%

C = [ (20-9)/9 ] * 100%

C = (11/9)*100%

C = 1.2222222222*100%

C = 122.22222222%

C = 122.2%

Answer: 122.2% increase
The answer is 3 and end

Tyler and Jamie decide to share a box of 50 candy bars. To their pleasant surprise, there are 5 extra candy bars in the box. They agree that Tyler gets at least eight more candy bars than Jamie. What is the minimum number of candy bars that Tyler gets. Can I get a step by step explanation please? Thank you!

Answers

Answer:

Minimum candy Tyler gets = 32

Step-by-step explanation:

Given:

Number of candy in box = 50

Extra candy = 5

Find:

Minimum candy Tyler gets

Computation:

Assume.

Number of candy Tyler gets = x

Number of candy Jamie gets = x - 8

Total number of candy in box = 50 + 5 = 55

So,

Number of candy Tyler gets + Number of candy Jamie gets = Total number of candy in box

x + x - 8 = 55

2x = 63

x = 31.5

So,

Minimum candy Tyler gets = 32

32 is the correct answer

In a certain country, the heights and depths of a road are measured in relation to sea level. Sea level has a value of 0. The lowest point of the country lies at −8 feet. The highest point of the country lies at +107 feet. Which of the following statements best describes the lowest and the highest points?

The lowest point is 8 feet above sea level, and the highest point is 107 feet below sea level.

The lowest point is 8 feet below sea level, and the highest point is 107 feet above sea level.

The lowest point is 8 feet below sea level, and the highest point is 107 feet above the lowest point.

The lowest point is 8 feet above sea level, and the highest point is 107 feet below the lowest point.

Answers

A negative value would mean it is below sea level. A positive value would be above sea level.

-8 is 8 feet below sea level

+107 is 107 feet above sea level.

The answer Is:

The lowest point is 8 feet below sea level, and the highest point is 107 feet above sea level.

Answer:

Step-by-step explanation:

The lowest point is 8 feet below sea level, and the highest point is 107 feet above sea level.  

An architect maps two buildings, which are located on a piece of land, onto a coordinate plane. He wants to build a wall at the diagonal AC to divide the piece of land into two parts. What will be the length of the wall? A. 65–√ units B. 6 units C. 237−−√ units D. 2 units

Answers

Answer:

[tex] 6\sqrt{5} units [/tex]

Step-by-step Explanation:

The length of the wall = diagonal AC = distance between point A (-6, -2) and point C (6, 4).

Distance formula between two points on a graph (d) = [tex] \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Where,

[tex] A(-6, -2) = (x_1, y_1) [/tex]

[tex] C(6, 4) = (x_2, y_2) [/tex]

[tex] d = \sqrt{(6 - (-6))^2 + (4 -(-2))^2} [/tex]

[tex] d = \sqrt{(6 + 6)^2 + (4 + 2)^2} [/tex]

[tex] d = \sqrt{(12)^2 + (6)^2} [/tex]

[tex] d = \sqrt{144 + 36} [/tex]

[tex] d = \sqrt{180} [/tex]

[tex] d = \sqrt{36*5} [/tex]

[tex] d = 6\sqrt{5} [/tex]

The length of the wall = [tex] 6\sqrt{5} units [/tex]

can somewon help me plz i want help

Answers

Answer:

5 * 10^10.

Step-by-step explanation:

(9 * 10^10) - (4 * 10^10) = (9 - 4) * 10^10 = 5 * 10^10.

Hope this helps!

Answer:

5*10^10

Step-by-step explanation:

9 times ten is 9^10, and 4 Times 10^10 is 4^10 so 9^10 minus 4^10 is 50000000000 which is also called 5^10 which is also 5 x 10^10 I think. pls correct me if im wrong

What is the distance between points A and B on the grid? (the grid is shown in the image). A. 3 units B. 4.5 units C. 5 units D. 5.5 units

Answers

Answer: C. 5 units

=================================================

Explanation:

Since the x coordinates are the same, we can subtract the y coordinates to get

1.5 - (-3.5) = 1.5 + 3.5 = 5

Note how subtracting a negative is the same as adding.

-------

We can subtract in the other order

-3.5 - 1.5 = -5

but we need to make this result positive. A negative distance is not allowed. Absolute value is applied to make the result positive

|-5| = 5

The answer is 5 since both have 1.5 you don’t do anything with that you add the 3.5 and 1.5

asap please x÷7=11÷15help

Answers

Answer:

x = 77/15 or  5 2/15

Step-by-step explanation:

x/7 = 11/15

Multiply each side by 7

x/7 *7 = 11/15 *7

x = 77/15

We can leave as an improper fraction or change to a mixed number

15 goes into 77  5 times with 2 left over

5 2/15

━━━━━━━☆☆━━━━━━━

▹ Answer

x = 77/15, 5 2/15, or 5.13

▹ Step-by-Step Explanation

x ÷ 7 = 11 ÷ 15

15x = 77

Divide both sides by 15:

x = 77/15, 5 2/15, or 5.13

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Need help and show work please.

Answers

Answer:

B) 30

Step-by-step explanation:

Since ABCD is a parallelogram the diagonals bisect each others in their midpoint.

Wich means that BE = ED

● BE = ED

● (2/3)x = x-10

Substract x from both sides

● (2/3)x -x = x-10 - x

● (2/3) x - x = -10

Multiply x by 3 then ubstracr it from 2x

● (2x-3x)/3 = -10

● -x/3 = -10

Multiply both sides by -3

● (-x/3)×(-3) = -10 ×(-3)

● x = 30

b) 30 just listen to what the guy above me said hahaha
Other Questions
In which sentence is "that" used incorrectly? The butterfly that was eaten by the bird was poisonous. The letter that was opened in the hall was not for me. The song that played on the radio reminded me of my childhood. The student that won the spelling bee received a $50 gift card to the bookstore. A certain resistor dissipates 0.5 W when connected to a 3 V potential difference. When connected to a 1 V potential difference, this resistor will dissipate: Factor 3x^2 12x 36. Problem is attached in a photo A company purchased 400 units at $75 per unit. The company sold 385 units. what is the cost of goods sold and ending inventory PLEASE ANSWER!!!!!!Which of the following is true? a) |4| < 3 b) |4| < |3| c) |3| < 4 | d) 3| < |4| In a physics lab, Asha is given a 11.5 kg uniform rectangular plate with edge lengths 62.9 cm by 46.9 cm . Her lab instructor requires her to rotate the plate about an axis perpendicular to its plane and passing through one of its corners, and then prepare a report on the project. For her report, Asha needs the plate's moment of inertia ???? with respect to given rotation axis. Calculate ???? . Translate the following sentences into Spanish. Pay attention to the clues that will help you choose the appropriate tense. 6. Last night, my friend and I went to a party. 7. Last summer, the students had to read every day. 8. In sixth grade, you always participated in the school activities. 9. Your brother called on the phone while you were mowing the lawn. 10. Eva and Toni were in love. "We've had to cut our overhead expenses, and we let go several of our support staff," said J. Richard Peale, Managing Partner of Lockstill and Ratcliffe LLC. "However, I am counting upon each of us to creatively deliver even better legal services to our clients, although we've each had to pick up extra work that was previously done by our support staff." J. Richard is counting upon his team to subscribe to the belief known as the ____________, the ability to achieve multiple objectives at the same time. What is the profession of influencing public policy by providing lawmakers with information from a particular point of view?______ is the profession of influencing public policy by providing lawmakers with information from a particular point of view Based on their actions in A Century Ride, which inference about Lizzie and Maude as women of the late 1800s is most valid? On thursday morning, a shop has 468 customers.314 were women and 75 were children.a) What percentage were women?b) What percentage were *not* children Which statement accurately describes the European American population in the United States? A. European immigration declined as a result of the exclusion laws. B. European immigrants adjusted easily to American life because they all spoke the same language. C. European Americans enjoy the same kinds of food, clothing, and music. D. European Americans make up the largest segment of the population today Prove the identity sin^2theta x csc^2 theta = sin^2 theta + cos^2 theta 20 points!! 2 hours 40 minutes +11 hours 40 minutes if [tex] log_{x} \: a \: + log_{x} \: \frac{1}{a} = t[/tex]what is the possible value of t? What is the atomic mass for Helium (He)? Question 5 options: 8 2 3 4 If the s t graph of a particle is parallel to the t axis, the speed of the particle is (a) zero (b) constant (c) infinite (d) non-uniform Amir throws a stone off of a bridge into a river. The stone's height (in meters above the water) ttt seconds after Amir throws it is modeled by h(t)=-5t^2+20t+160h(t)=5t 2 +20t+160h, left parenthesis, t, right parenthesis, equals, minus, 5, t, squared, plus, 20, t, plus, 160 Amir wants to know when the stone will reach its highest point. 1) Rewrite the function in a different form (factored or vertex) where the answer appears as a number in the equation. h(t)=h(t)=h, left parenthesis, t, right parenthesis, equals 2) How many seconds after being thrown did the stone reach its highest point? 02. Entre todos os movimentos realizados pela Terra, a rotao e a translao so consideradas como os dois mais importantes, pois so os que exercem maior influncia no cotidiano das sociedades. Cite as consequncias principais da rotao e da translao da Terra. a) Translao: b) Rotao: