In a figure, OB is the radius of a big semicircle and XB is the radius of the small semicircle. Given that OX = 14 cm, Calculate the area and the perimeter of the shaded region in the figure.
(Take π = 22/7).

In A Figure, OB Is The Radius Of A Big Semicircle And XB Is The Radius Of The Small Semicircle. Given

Answers

Answer 1

Answer:

perimeter of the shaded region = 88 +44+28 =160 cm

Step-by-step explanation:

perimeter of shaded region = length AO + arc OB + arc AB

length AO = radius of bigger circle

radius of bigger circle = OX + OB = 2×radius of smaller circle = 2×14 cm = 28 cm

therefore AO = 28 cm

length of arc oB= half of circumference of smaller circle = [tex]\pi[/tex]×14 = 44 cm

length of arc ab = half of circumference of bigger circle  = [tex]\pi[/tex]×28 =[tex]\frac{22}{7}[/tex]×28= 88

therefore perimeter of the shaded region = 88 +44+28 =160 cm

area of the shaded region = half of area of bigger circle - half of area of smaller circle

                                           =[tex]\frac{1}{2} \pi 28^{2} -\frac{1}{2} \pi 14^{2}[/tex]

                                           =[tex]\frac{\pi }{2} (28^{2} -14^{2} )[/tex]

  solving we gen area of shaded region = 924


Related Questions

How you can identify a Linear A linear non proportional relationship from a table

Answers

Answer:

Step-by-step explanation:

Put the equation in the form y = mx + b.

Plot the y-intercept, (0,b).

Use the slope to find another point on the line.

Connect the two points in a straight line.

Two angle measures in a triangle are 47° and 43°. What type of triangle is it?

acute
obtuse
right
isosceles

Answers

Answer:

It is a right angled triangle

Step-by-step explanation:

Since we know that the angles in a triangle always add up to 180°, we take 180°-47°-43° = 90°, a right angle is 90°, thus we know it is a right angled triangle.

Answer:

it is a right triangle

Step-by-step explanation:

38)
A math teacher wants to make a test containing 50 easy questions and 20 hard questions. Each easy question is allowed 30
seconds and each hard question is allowed 1 minute 30 seconds to complete. How many minutes should the teacher allow for the
whole test?

Answers

Answer:

Maximum time the teacher should allow for the whole test should be = 55 minutes

Step-by-step explanation:

Number of easy questions in the test = 50

Number of hard questions in the test = 20

Time for each easy question = 30 seconds = [tex]30\ sec\times\frac{1\ min}{60 sec}=0.5\ min[/tex]    

[As 1 minute = 60 seconds]

Time for each hard question = 1 minute 30 seconds = [tex]1\ min+(30\ sec\times\frac{1\ min}{60 sec})=1\ min+0.5\ min=1.5\ min[/tex]

Using unitary method to find duration of whole test.

If 1 easy question takes = 0.5 minutes

Then, 50 easy questions will take = [tex]50\times 0.5\ min[/tex] = 25 minutes

If 1 hard question takes = 1.5 minutes

Then, 20 hard questions will take = [tex]20\times 1.5\ min[/tex] = 30 minutes

Total time for the test will be = [tex]25\ min+30\ min[/tex] = 55 minutes

Which statement is correct? The range of the graph is all real numbers less than or equal to 0. The domain of the graph is all real numbers less than or equal to 0. The domain and range of the graph are the same. The range of the graph is all real numbers.

Answers

Answer:

Option B on edge 2020 guys

Step-by-step explanation:

:)

I need help !!!!!! Please

Answers

Answer:

See explanation

Step-by-step explanation:

         Statement                Reason

1. [tex]\angle M\cong \angle X[/tex]      - Given

2. [tex]\angle N\cong \angle Y[/tex]      - Given

3. [tex]\overline{YO}\cong \overline{NZ}[/tex]    -  Given

4. [tex]\overline{OZ}\cong \overline{OZ}[/tex]    -  Reflexive property

5. [tex]YO=ZN[/tex]     - Definition of congruent segments

6. [tex]YZ=YO+OZ[/tex]    - Segment addition postulate

7. [tex]ON=ZN+OZ[/tex]    - Segment addition postulate

8. [tex]YZ=ZN+OZ[/tex]     - Substitution property

9. [tex]YZ=ON[/tex]     - Substitution property

10. [tex]\triangle MNO\cong \triangle XYZ[/tex]     - AAS postulate

Answer:

What is your gram?

Step-by-step explanation:

Quaker Oatmeal is a very popular breakfast cereal. If Susan wrapped the entire container without any overlapping paper, what is the minimum amount of paper she will need to wrap the entire container

11cm tall
with a width of 6cm

Answers

263.76 cm is the minimum amount of paper she will need to wrap the entire container.

Step-by-step explanation:

As we know that the equation for surface area of a cylinder,

Surface area of cylinder =  [tex]2\pi r^{2}+2 \pi r h[/tex]

Where,

r - the radius of the cylinder. Here given diameter (D) as 6. So,

          [tex]r=\frac{D}{2}=\frac{6}{2}=3 \mathrm{cm}[/tex]

h - the height of the cylinder (given as 11 cm). The value for pi = 3.14. Now, calculate the surface area of the cylinder as

                     [tex]A=2(3.14)(3)^{2}+2(3.14)(3)(11)[/tex]

                            A = 56.52+ 207.24 = 263.76 cm

Find the value of x.
30
3. 4. 6. 8

Answers

Answer:

x=8

Step-by-step explanation:

BE=1/2(CD) (it's a theorem that you can find in Google)

So you get:

3x=24

x=8

Final answer:

The question lacks sufficient information to solve for x. An equation or context for x is needed to determine its value.

Explanation:

The question seems to lack sufficient information to provide an accurate solution. When asked to find the value of x, usually an equation or expression involving x is given. This question doesn't provide such an equation or a context for solving for x. It is possible that the information got cut off or may have been miss-transcribed. Please specify the given equation or problem involving x and I will be glad to help.

Learn more about Solving for x here:

https://brainly.com/question/32490578

#SPJ2

A student is solving a system of equations by substitution and comes up with the solution 3=3. Assuming that he solved the problem correctly, which of the following can be said about this system of equations?

A) The system has exactly 1 solution.
B) The system has exactly 2 solutions.
C) The system has infinitely many solutions.
D) The system has no solution.

HELLP MEEEEE PLZZZZ

Answers

Answer:

a

Step-by-step explanation:

the coordinates of endpoint D in CD are at D (5,5).if the midpoint of the segment is at M(1,_1)what are the coordinates of point C?​

Answers

Answer:

The required points of the given line segment  are ( - 3, - 7 ).

Step-by-step explanation:

Given that the line segment CD whose midpoint M is ( 1, - 1 ) and point D is ( 5, 5 ), then we have to find point C of the line segment CD-

As we know that-

If a line segment AB is with endpoints ([tex]x_{1}, y_{1}[/tex] ) and  ([tex]x_{2}, y_{2}[/tex]  then the mid points C are-  

C = ( [tex]\frac{ x_{1} + x_{2} }{2}[/tex] , [tex]\frac{ y_{1} + y_{2} }{2}[/tex] )

Here,

Let C ( x, y ), D ( 5, 5 ) with midpoint M ( 1, -1 )-

then by the midpoint formula-

( 1, -1 )  = ( [tex]\frac{x+ 5}{2}[/tex] , [tex]\frac{y + 5}{2}[/tex] 

On comparing x coordinate and y coordinate -

We get,

( [tex]\frac{x+ 5}{2}[/tex] = 1  , [tex]\frac{y + 5}{2}[/tex] = -1 )

( x + 5 = 2, y + 5 = - 2 )

( x = 2 - 5,  y = -2 - 5 )

( x = - 3,  y = -7 )

Hence the required points  C are (- 3, - 7 ).

We can also verify by putting these points into Midpoint formula.

what is y=-4/3x+2 in point slope form?

Answers

Answer:

[tex]y-2=-\frac{4}{3}(x-0)[/tex]

Step-by-step explanation:

we know that

The equation of the line in point slope form is equal to

[tex]y-y1=m(x-x1)[/tex]

we have

[tex]y=-\frac{4}{3}x+2[/tex] ---> equation in slope intercept form

so

Convert to point slope form

subtract 2 both sides

[tex]y-2=-\frac{4}{3}x[/tex]

Rewrite as

[tex]y-2=-\frac{4}{3}(x-0)[/tex]

the slope is [tex]m=-\frac{4}{3}[/tex]

the point is [tex](0,2)[/tex]

Sam saves 76 tickets every time he goes to the arcade. He needs a total of 4712 tickets to receive a stuffed bear for his girlfriend. So far, he has earned 456 tickets. How many more times will Sam have to go to the arcade to earn the additional points he needs?

Answers

Answer:

Sam has to 56 times more to the arcade to earn additional points he need.

Step-by-step explanation:

Given:

Number of tickets already earned = 456

Number of tickets saved each time visit at arcade = 76

Total Number of tickets required to buy Stuffed bear = 4712

We need to find number of times he need to go to arcade to earn the additional points.

Solution:

Let Number of times he need to visit arcade be 'x'.

Now we know;

Number of tickets already earned plus Number of tickets saved each time visit at arcade multiplied by Number of times he need to visit arcade equals to Total Number of tickets required.

Framing in equation form we get;

[tex]456+76x = 4712[/tex]

Now Solving the equation we get;

Subtracting both side by 456 we get;

[tex]456+76x=4712-456\\\\76x= 4256[/tex]

Now Dividing both side by 76 we get;

[tex]\frac{76x}{76} = \frac{4256}{76} \\\\x=56[/tex]

Hence, Sam has to 56 times more to the arcade to earn additional points he need.

Use the net to find the surface area of the square pyramid.
A) 95 ft2
B) 130 ft2
C) 205 ft2
D) 333 ft2

Answers

Answer: D

Step-by-step explanation:

9x9=81 (base)

(14x9) divided by 2= 63 (one triangular face)

63x4=252 (all triangular faces)

81+252= 333ft2

Answer:

the answer is D, i know i am right.

Step-by-step explanation:

what is two hundred and eighteen divided by thurty one​

Answers

Hi there! In this problem, two hundred and eighteen divided by thirty one would be 7.032258064516129‬. Like this:

   281 / 31 = 7.032258064516129‬

Hope this answers your question!

(P.S. I could really use Brainliest.....)

Answer:

200+18÷31=200.58062452

200÷31=6.451612903

18÷31=0.5806451613

At a zoo, youth tickets cost $5 and adult tickets cost $9. A group that purchased x youth tickets and y adult tickets spent $90 on tickets.

What is the domain of the relationship?

A.
x ≤ 5
B.
0 ≤ x ≤ 5
C.
0 ≤ x ≤ 18
D.
x ≤ 18

Answers

Answer:

Each person buys there own so there are elderly costs.

Step-by-step explanation:

A.

x ≤ 5

B.

0 ≤ x ≤ 5

C.

0 ≤ x ≤ 18

D.

x ≤ 18

Answer:

The answer is option C.

0 <= x <= 18

Step-by-step explanation:

To find the domain of the relationship in respect to x, we need to find the value of x.

Since;

youth tickets = $5 and

Adult tickets = $9.

Purchased x youth tickets and y adult tickets cost $90

Purchased x youth tickets and y adult tickets = 5x + 9y = 90

5x = 90 - 9y

to find x we divide both side by 5

x = (90-9y)/5

x = 90/5 - 9y/5

x = 18 - 9y/5

Note that in this equation x and y can only be positive value because that are representing number of legible item (ticket)

Therefore:

X can only fall between 0 and 18.

0 <= x <= 18

Multiplying (-9)(-6)(2)=

Answers

Answer:

108

Step-by-step explanation:


A class is made up of 12 boys and 13 girls. What fraction of the class is boys?

Answers

Answer:

12/25 of the class are boys.

Step-by-step explanation:

12+13=25

12/25

Answer:

12/25, I hope this helped!




please help 10 point + brainlyiest = one big thank u
which of these is the algebraic expression for "five more than the product of ten and some number?
10 + 5x
5 + 10 + x
10x + 5
5 + 10 ÷ x

Answers

10x+5 is the awnser I think

Which is the same as 73?


CLEAR CHECK

A 7÷13

B 3÷7

C 17 of 3

D 7 divided by 3

Answers

Answer: Neither of them.

Step-by-step explanation: 7 divided by 3 is 2.3. So that's not right.

3 divided by 7 is 0.42. Also incorrect. 17 of 3? What does that mean? 17 percent of 3? I'm not sure but that's not the answer either be cause 17% or 3 is not 73. None of these choices are correct nor do they make sense.

Answer:

D) 7 divided by 3

Step-by-step explanation:

15 points!! Please help! please explain how you got you answers

Answers

We observe that a line will pass through 3 points, but to find a slope we only need two.

We see that it passes through points (assuming the scale of graph is 1 : 1) [tex]P_1(x_1,y_1)=P_1(0,1)[/tex] and [tex]P_2(x_2,y_2)=P_2(2,-1)[/tex].

We can use slope formula that applies for any line and produce the same slope for any two different points on the line

[tex]m=\dfrac{\Delta{y}}{\Delta{x}}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-1-1}{2-0}=-1[/tex]

So the slope is -1 also it intersects y-axis at [tex]n=1[/tex] so the general form of the linear function is

[tex]f(x)=mx+n[/tex]

That is in your case

[tex]\boxed{f(x)=-x+1}[/tex]

Hope this helps.

A college bookstore charges $60 for a yearly membership. The first book is free with membership and any book after that costs $7.60 including tax. How much money, m, does a student spend after buying b books and a yearly membership.

Answers

Answer:

The equation representing Total money spend being as a member is [tex]m = 60+7.6(b-1)[/tex]

Step-by-step explanation:

Given:

Memberships charges = $60

Cost of 1 book = $7.60

Let number of books be 'b'.

We need to find Total money 'm' spend yearly on buying books after becoming member.

Now we know that 1 book is free for a member.

Total money spend 'm' will be equal to Sum Memberships charges  and Cost of 1 book multiplied by number of books bought yearly minus 1.

Framing in equation form we get;

[tex]m = 60+7.6(b-1)[/tex]

Hence The equation representing Total money spend being as a member is [tex]m = 60+7.6(b-1)[/tex]

Therefore, the final expression for the total cost [tex]\( m \)[/tex] as a function of the number of booksx [tex]\( m \)[/tex] is:

[tex]\[ \boxed{m = \frac{262 + 38b}{5}} \][/tex]

The total cost \( m \) that a student spends after buying \( b \) books and a yearly membership can be calculated using the following formula:

[tex]\[ m = \text{Cost of membership} + (\text{Number of books} - 1) \times \text{Cost per book} \][/tex]

Given that the yearly membership costs $60 and each book after the first free book costs $7.60, we can substitute these values into the formula:

[tex]\[ m = \$60 + (b - 1) \times \$7.60 \][/tex]

Now, let's simplify the expression by converting $7.60 to a fraction to avoid decimals in our calculation:

[tex]\[ m = \$60 + (b - 1) \times \frac{760}{100} \][/tex]

[tex]\[ m = \$60 + (b - 1) \times \frac{38}{5} \][/tex]

[tex]\[ m = \$60 + \frac{38b - 38}{5} \][/tex]

To combine the terms, we need a common denominator, which is 5:

[tex]\[ m = \frac{\$60 \times 5}{5} + \frac{38b - 38}{5} \][/tex]

[tex]\[ m = \frac{300}{5} + \frac{38b - 38}{5} \][/tex]

[tex]\[ m = \frac{300 + 38b - 38}{5} \][/tex]

[tex]\[ m = \frac{262 + 38b}{5} \][/tex]

Plz help: You have asked your parents if you can have some money to decorate your bedroom for Christmas. You want to put up a little Christmas tree and some ornaments and some lights. They give you $10. You go to the store and find an incredible deal. You buy a tiny fake tree, some lights and a box of ornaments. You pay with the 10$ your parents gave you and the cashier gives you back three bills of the same denomination and two coins in change. (you receive no dollar coins and no half-dollars). How much did you spend? There are 10 possible answers

1. amount spent:____________ Change given (bills/coins):_________

Answers

Answer: ALL THE AMOUNT SPEND ARE 3 1$ bills

1. Amount spent: 6.98

Change:  2- penny

2. Amount Spent: 6.94

Change:   Penny  Nickel

3. Amount Spent: 6.9

Change: 2 Nickels

4. Amount Spent: 6.89

Change: Penny, Dime

5. Amount Spent: 6.85

Change: Nickel Dime

6. Amount Spent: 6.74

Change: Penny Quarter

7. Amount Spent: 6.50

Change: 2 Quarters

8. Amount Spent: 6.80

Change: Nickel Nickel

9. Amount Spent: 6.70

Change: Quarter Dime

10. Amount Spent: 6.65

Change: Quarter Nickel

Step-by-step explanation:

Pweeeese gimme brainliest answer

Final answer:

To find out how much you spent, subtract the change given from the amount your parents gave you.

Explanation:

To find out how much you spent, you need to subtract the change given from the amount your parents gave you. Since the cashier gave you three bills and two coins as change, the total value of the change given is equal to the amount you spent. Since you received no dollar coins and no half-dollars, the change given consists of only bills and coins of smaller denominations. Therefore, the amount you spent is equal to the value of the change given.

16. Afla numărul necunoscut:
x + 7 = 36
X-9 = 83
X + (13- 8) = 74
a - (14 - 6) = 67
34 - X= 8
82 - x = 9
114​

Answers

Answer:

9

Step-by-step explanation:

4*7=28

zyz hope that helps

(i wont ask anymore after this)
How many solutions does each equation have? a) 7(2+5v)=3v+14 b) -3 (3-6b)=6b+5 c) 2 (a-2)=2a-4

Answers

Answer:

a) v = 0

b) b = 7 / 6

c) a = any number

Step-by-step explanation:

a)    7(2+5v)=3v+14

     7 x 2 + 7 x 5v = 3v + 14  .... distributive

     14 + 35v = 3v + 14

     35v - 3v = 14 - 14

      32v = 0

      v = 0 ...... only v value can fit  

b) -3 (3-6b)=6b+5

   -9 + 18b = 6b + 5

   18b - 6b = 5 + 9

   12b = 14

    b = 14 / 12 = 7 / 6

c) 2 (a-2)=2a-4

    2a - 4 = 2a - 4

    2a -4 + 4 = 2a -4 + 4

    2a = 2a

     a = a ........ a cab be any number

What conclusion can you make based on the data/results you collect

Answers

Final answer:

To draw a conclusion from collected data, examine the hypothesis compared with the results observed. A careful analysis should lead to generalizations backed by evidence. Presenting and summarizing information thoroughly is vital for conclusions and future inquiries.

Explanation:

To draw a conclusion based on the data collected, one must first analyze the data carefully. For example, in an experiment assessing the number of deformed frogs in a non-polluted pond, the data should be compared to the initial hypothesis. If the data shows a significant number of deformed frogs in pristine conditions, this could imply other factors contributing to deformities besides pollution.

In language use among students, if the evidence suggests particular trends or patterns, you can make generalizations about these observations. If your findings are different from the initial answer in the 'Collect the Data' section, it might be due to various reasons such as experimental error or an incomplete hypothesis. When presenting your findings, it is critical to incorporate all the collected information which solidifies your conclusion.

Lastly, when summarizing information about a person's experience, it's necessary to incorporate all relevant data before settling on a conclusion. Afterward, forming a question for further research can open new avenues for exploration.

Which of the following shows the expression in factored form x2 + 2x - 8

A) (x-2)(x+4)
B) (x+2)(x+4)
C) (x-2)(x+8)
D) (x+1)(x-8)

Answers

Answer:

A) (x-2)(x+4)

Step-by-step explanation:

Amy has $1,000 in a savings account at the beginning of the fall. She wants to have at least $500 in the account by the end of the fall. She withdraws $100 a week for living expenses. Write an inequality for the number of weeks Amy can withdraw money, and solve.
A) 1000 - 100w ≤ 500; w ≥ 6
B) 1000 + 100w ≤ 500; w ≤ 5
C) 1000 + 100w ≥ 500; w ≥ 6
D) 1000 - 100w ≥ 500; w ≤ 5

Answers

Answer:

D. [tex]1000 - 100w \geq 500; w \leq 5[/tex]

Step-by-step explanation:

Given:

Initial amount in the bank = $1000

Money withdrawn each week = $100

Final amount should be at least $500.

Now, let the number of weeks the money is withdrawn be 'w'.

Therefore,

Money withdrawn in 'w' weeks = [tex]\textrm{Money withdrawn each week}\times w[/tex]

Total Money withdrawn in 'w' weeks = [tex]100w[/tex]

Now, final amount after 'w' weeks is equal to the difference between initial amount and total withdrawal amount. Therefore,

Final amount = Initial amount - Total withdrawal amount

Final amount = [tex]1000 - 100w[/tex]

Now, final amount must be greater than or equal to $500. So,

[tex]\textrm{Final amount}\geq500\\\\1000-100w\geq500[/tex]

Therefore, the  inequality that represents the inequality for the number of weeks Amy can withdraw money is:

[tex]1000-100w\geq500[/tex]

Now, let us solve for 'w'.

Adding -500 and 100w both sides, we get:

[tex]1000-500-100w+100w\geq500-500+100w\\\\500\geq100w\\\\\textrm{The above inequality is reversed when taking 100w on the left side}\\\\100w\leq500\\\\w\leq\frac{500}{100}\\\\\therefore w\leq5[/tex]

Therefore, the correct option is (D).

3a²b ÷ 2ab what is the result ?​

Answers

Answer:3/2a

Step-by-step explanation:

Answer:

3 a /2

Step-by-step explanation:

3 a² b ÷ 2 a b

3 a / 2

The function A(b) relates the area of a trapezoid with a given height of 12 and
one base length of 9 with the length of its other base.
It takes as input the other base value, and returns as output the area of the
trapezoid.
A(b) = 12.579
Which equation below represents the inverse function B(a), which takes the
trapezoid's area as input and returns as output the length of the othef base?

Answers

Answer:

[tex]B(a)=\frac{a}{6}-9[/tex]

Step-by-step explanation:

see the attached figure , to better understand the problem

we have

[tex]A(b)=12(\frac{b+9}{2})[/tex]

where

A(b) ---> is the trapezoid's area

b ---> is the other base value

Solve the equation for b

That means ----> isolate the variable b

Divide 12 by 2 right side

[tex]A=6(b+9)[/tex]

Divide by 6 both sides

[tex]\frac{A}{6}=b+9[/tex]

subtract 9 both sides

[tex]\frac{A}{6}-9=b[/tex]

Rewrite

[tex]b=\frac{A}{6}-9[/tex]

Convert to function notation

[tex]B(a)=\frac{a}{6}-9[/tex]

Final answer:

The inverse function for the area of a trapezoid with one base of 9 and height of 12 is B(a) = a/6 - 9, which gives the length of the other base when provided with the area of the trapezoid.

Explanation:

The question revolves around finding the inverse function for the function that represents the area of a trapezoid. Given the area function A(b) = 12.579 for a trapezoid with a height of 12 and one base of length 9, we seek the function B(a) which provides the length of the other base when given the trapezoid's area. To derive this, recall that the area of a trapezoid with bases b and c and height h is given by A = (1/2)(b+c)h. Here, b is 9 and h is 12. Hence, A(b) = (1/2)(9+b)(12) = (9+b)(6).

To find B(a), we express b in terms of A: (9+b)(6) = A → b = A/6 - 9. The inverse function is B(a) = a/6 - 9.

A drawing is 12 inches long by 9 inches wide. If the new drawing is 8 inches long, how wide will it be?

Answers

If the first drawing is 12 inches long and 9 inches wide then the second one is 8 inches long and 5 inches wide because if you look closely first drawing is 12 inch by 9 inch 9 is three less than 12 so if the problem is 8 inch long 3 less than that is 5 inches so it would have to be 8 inches long by 5 inches wide

crackers contain 12 calories each and cookies contain 52 calories each. if you eat 5 crackers and 2 cookies how many calories have u consumed in all?

Answers

Answer:

You have consumed 164 calories in total

Step-by-step explanation:

12 calories × 5 crackers = 60 calories

52 calories × 2 cookies = 104 calories

104 + 60 = 164 calories in total

12 x 5 is 60
52 x 2 is 104
Now you just add the two
Other Questions
what is the sum of 1/2 and 0.75 ? 7. Why is approximately 50% of any individual's DNA inherited from that individual's father?It was passed to the individual by a somatic cell from the father.It was passed to the individual by a gamete from the father.Half of the individual's cells descend from the father's gamete.Half of the individual's nuclei descend from the nucleus of the father's gamete. A barn with an adjusted basis of $125,000 was destroyed by a tornado on March 5, 2018. On May 15, 2018, the insurance company paid the owner $150,000. The owner reinvested $170,000 in another barn. What is the basis of the new barn if non-recognition of gain from an involuntary conversion is elected? A set of 7,500 scores on a test are distributed normally, with a mean of 23 and a standard deviation of 4. To the nearest integer value, how many scores are there between 21 and 25? Distributor packages and sells two types of products, A and B. The respective sales prices for the products are $10 and $5. The distributor has enough storage capacity for 1000 total products. Packaging for product A requires 2 hours and for the product B requires 5 hours. The packaging budget allows for only 5000 hours of labor for packaging. This linear program can be formulated as ___. What is the recommended range of weight gain, in lbs, during pregnancy for a normal-weight woman? who believed in political power must be divided with 3 branches in government?1. John Locke 2. Thomas Jefferson 3. Mary Wollstonecraft4.Thomas Hobbes5. Rousseau6. Montesquieu The regular price of a dress is $80. The price has been marked up by 23%. What is the amount of mark up? 38. Emily is buying some graduation pictures. She pays $25 for the sitting and $15 for eachsheet of pictures she buys. (make a table if it helps)a. How much does she pay for 5 sheets of pictures?!b. How much does she pay for "x" sheets?c. How many sheets can she buy for $145? What is the product?(-20+5) (58-65)10 -1004+17025-6520-1004+ 170452-6520-10047025-6520-1004 +17025+652 When LDAP traffic is made secure by using Secure Sockets Layer (SSL) or Transport Layer Security (TLS), what is this process called?a. SAMLb. LDAPSc. TACACSd. SDML What is an exclusive power of the house of representatives? Consider the following declaration.int[] beta = new int[3];int j;Which of the following input statements correctly input values into beta? (Assume that cin is a Scanner object initialized to the standard input device.)(i)beta[0] = cin.nextInt();beta[1] = cin.nextInt();beta[2] = cin.nextInt();(ii)for (j = 0; j < 3; j++)beta[j] = cin.nextInt(); Firefighters dig a triangular trench around a forest to prevent the fire from spreading. Two of the trenches are 800 m long and 650 m long. the angle between them is 30. Determine the area that is enclosed by these trenches. . (06.02) Which of these is the algebraic expression for "seven less than some number?" (3 points) Fraction 7 over h Fraction h over 7 h 7 7 h How do you solve 3/4x=-24 Aaron operates a farm stand. The supply function for grapes at the farm stand is P=Q-7, Where P is the price and Q is the quantity of baskets. If Aaron makes 15 baskets of grapes, what price will he sell the baskets of grapes at?A. $5B. $7 C. $15D. $8 A car parked on level pavement exerts a force of 10,000 newtons on the ground. What force does the pavement exert back on the car ? Dionna just received word that she has been accepted to a doctoral program after months of application and interviews. She calls her husband to let him know. Dionna's desire to share this exciting news is called ________. Is (6,2) a solution to x+5y