what’s the central angle??

Whats The Central Angle??

Answers

Answer 1
The answer is GOJ

The central angle would be the O which is the center, and that would be in the middle of the other two letters.
Answer 2
the answer is going to be GOJ, have a good day and hope this helps

Related Questions

Okay HELP i have to questions in one problem.
Question number 1 : Rihannon has a rectangular bedspread that measures 234 inches by 245 inches. She wants to sew a fringe around the edge of the bedspread. What LENGTH of fringe does rihannon need to purchase???

Question number 2 : Rihannon gets a new bedspread that is 33 inches longer. What LENGTH of fringe does Rihannon need for the longer bedspread??? PLEASEEE HELP

Answers

Answer:

1) To calculate length of fringe, we need to find the perimeter

The question does not clearly say how much is length and width

Assuming length = 245 and width = 234 inches

P = 2(length + width)

P = 2 ( 245 + 234)

P = 2 (479)

P = 958 inches

2) To calculate length of fringe, when length is increased by 33 inches

P = 2 ( l + w)

P = 2 (278 + 234)

P = 2 x 512

P = 1024 inches

❗️5 points❗️
4. State the slope of the line.
A. 1
B. 0
C. undefined
D. -4

Answers

Answer:

C. undefined.

Step-by-step explanation:

Find the slope of the line, using the following equation:

m = (y₂ - y₁)/(x₂ - x₁)

Find two points that are located on the line.

Let:

(x₁ , y₁) = (-4 , 0)

(x₂ , y₂) = (-4 , 1)

Plug in the corresponding numbers into the corresponding variables.

m = (1 - 0)/(-4 - (-4))

Note that when you have two negative signs directly next to each other, it becomes an addition:

m = (1)/(-4 + 4) = 1/0

You cannot have a slope of rise 1, run 0, so your answer is undefined.

C. undefined.

~

Pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeee help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 4 * f(6)−6*g(5)=

Answers

Answer:

6(4f - 5g)

Step-by-step explanation:

4f × 6 - 6g × 5 = 24f - 6g × 5

24f - 30g → 6 (4f - 5g)

Hope this helped! :)

Answer:

f(6)−6*g(5)= 6f - 30g

Step-by-step explanation:

Hope this helped you!

y - 2x + 4
y = 3x - 6
solve using substitution

Answers

Answer:

(10,24)

Step-by-step explanation:

Well first we plug in y = 3x - 6 for y in y = 2x + 4

3x - 6 = 2x + 4

Then we combine like terms and seperate x.

x - 6 = 4

x = 10.

If x is 10 we plug that in

y = 3(10) - 6

y = 30 -6

y = 24

(10,24)

A line passes through the points (7, 10) and (7, 20) which statement is true about the line.​

Answers

Answer:

You didn't give any statements so I'll tell you that it's a vertical line.

Step-by-step explanation:

Answer:

the answer is C on edge

Step-by-step explanation:

Hello! I'm stuck on Pythagorean theorem in geometry. There are some numbers that suppose to have a line on top but I don't know how to put it on top of the number, I just put this `. So, here's the problem: Which side lengths form a right triangle? A. 2,2, v```4``

Answers

Choice A: [tex]2,2, \sqrt{4}[/tex]

Choice B: 9, 40, 41

Choice C: [tex]\sqrt{5}, 10$ and \sqrt{125}[/tex]

Answer:

(B)9, 40, 41

Step-by-step explanation:

To check if the sides form a right triangle, you check to see if they satisfy the Pythagorean theorem.

[tex]Hypotenuse^2=Opposite^2+Adjacent^2[/tex]

Note that the longest side length is always the hypotenuse.

Choice A: [tex]2,2, \sqrt{4}[/tex]

Now, [tex]\sqrt{4}=2[/tex]

Therefore:

[tex]2^2\neq 2^2+2^2\\4 \neq 8[/tex]

These side lengths form an equilateral triangle. They do not satisfy the theorem.

Choice B: 9, 40, 41

The longest side length is 41.

[tex]41^2=1681[/tex]

[tex]40^2+9^2=1681[/tex]

Therefore:

[tex]41^2=40^2+9^2[/tex]

These side lengths form a right triangle.

Choice C: [tex]\sqrt{5}, 10$ and \sqrt{125}[/tex]

[tex]\sqrt{5} \approx 2.24 \\ \sqrt{125}\approx11.18[/tex]

Therefore, the longest side length is [tex]\sqrt{125}[/tex]

[tex](\sqrt{125})^2=125\\(\sqrt{5})^2+10^2=5+100=105\\\\(\sqrt{125})^2 \neq (\sqrt{5})^2+10^2[/tex]

These side lengths do not form a right triangle.

Erica's collection has 3 times as many action figures in it as Ricardo's collection. They have 68 action figures together. How many action figures does Erica have? How many action figures does Ricardo have

Answers

Answer:

Erica has 51 action figures and Ricardo has 17 action figures.

Step-by-step explanation:

First, label your variables.

x=the number of action figures Erica has

y=the number of action figures Ricardo has

You know that they have 68 total action figures so x+y=68.

Erica has 3 times as many as Ricardo so 3y=x. Then solve for x and y.

x+y=68    3y=x   (Substitue 3y for x)

3y+y=68   (Then combine like terms)

4y=68  (Divide each side by 4)

y= 17

Now that you know that Ricardo has 17 action figures, you can plug 17 in for y in either equation to find x.

3(17)=x

x=51

To check your answers, you can plug them back into the original equations.

Answer:

Erica:51 action figures; Ricardo: 17 action figures

Reason:

68/4=17

17*3=51<- this is the amount of action figures that Erica has.

17 <-this is the amount of action figures that Ricardo has.

17 (Ricardo) + 51 (Erica) = 68 (total amount)

What are the total operating expenses? (This is line (c) on the income statement.)


This is a fill in the blank.

Answers

Answer:

The answer to this question can be defined as follows:

Step-by-step explanation:

In this question some information is missing that's why we explain "operating expenses".  

The Operating costs are paid in the business transactions and include property taxes, materials, stock costs, marketing, salary, health coverage, and R&D investments.

For other companies, these expenses are unavoidable and made mandatory. This cost is primarily important because it helps to evaluate the price effectiveness of the company as well as its inventory control. It also shows the costs and requires a consulting company needs to be making to maximize income, which would be a company's main objective.

A Ferris wheel is 15 meters in diameter and boarded from a platform that is 1 meters above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 2 minutes. How many minutes of the ride are spent higher than 15 meters above the ground?

Answers

Answer:

The number of minutes of the ride that are spent higher than 15 meters above the ground is 18 minutes.

Step-by-step explanation:

We will use the sin function for the height of the Ferris wheel.

[tex]y=A\ sin(B(x+C))+D[/tex]

A = amplitude

C = phase shift

D = Vertical shift

2π/B = period

From the provided information:

A = 15/2 = 7.5 m

[tex]Period=2\\\\\frac{2\pi}{B}=2\\\\B=\pi[/tex]

Compute the Vertical shift as follows:

D = A + Distance of wheel from ground

   = 7.5 + 1

   = 8.5

The equation of height is:

[tex]h(t)=7.5\cdot sin(\pi (t+C))+8.5[/tex]

Now at t = 0 the height is, h (t) = 1 m.

Compute the value of C as follows:

[tex]h(t)=7.5\cdot sin(\pi (t+C))+8.5[/tex]

[tex]1=7.5\cdot sin(\pi (0+C))+8.5\\\\-7.5=7.5\cdot sin\ \pi C\\\\sin\ \pi C=-1\\\\\pi C=sin^{-1}(-1)\\\\\pi C=\frac{3\pi}{2}\\\\C=\frac{3}{2}[/tex]

So, the complete equation of height is:

[tex]h(t)=7.5\cdot sin(\pi (t+\frac{3}{2}))+8.5[/tex]

Compute the number of minutes of the ride that are spent higher than 15 meters above the ground as follows:

h (t) ≥ 15

[tex]h(t)=15\\\\7.5\cdot sin(\pi (t+\frac{3}{2}))+8.5=15\\\\7.5\cdot sin(\pi (t+\frac{3}{2}))=6.5\\\\sin(\pi (t+\frac{3}{2}))=\frac{6.5}{7.5}\\\\(\pi (t+\frac{3}{2}))=sin^{-1}[\frac{13}{15}]\\\\\pi (t+\frac{3}{2})=60.074\\\\t+\frac{3}{2}=19.122\\\\t=17.622\\\\t\approx 18[/tex]

Thus, the number of minutes of the ride that are spent higher than 15 meters above the ground is 18 minutes.

I need help on this

Answers

Answer:

y = x+5

Step-by-step explanation:

The y intercept is 5  ( where it crosses the y axis)

We need two points to find the slope

(0,5) and (1,6)

The slope is

m = (y2-y1)/(x2-x1)

    = (6-5)/(1-0)

   = 1/1

    =1

The slope intercept is

y = mx+b

y   = 1x +5

y = x+5

Answer:

y = x + 5

Step-by-step explanation:

Slope intecept form: y = mx + b

y = x + 5

It is just x because the slope is 1/1 or rise over run. The intercept is 5 because the line crosses the y axis at the point 5.

if f(x) = - 5^x - 4 and g (x) = - 3 x - 2 find (f - g) (x)

O A. ( f - g )(x) = 5^x - 3x + 2
O B. ( f - g )(x) = -5^x - 3x - 6
O C. ( f - g )(x) = - 2x -2
O D. ( f - g )(x) = -5^x + 3x - 2

Answers

Answer:

answer D

Step-by-step explanation:

hello,

[tex]f(x)=-5^x-4 \ and \ g(x)=-3x-2\\(f-g)(x)=f(x)-g(x)=-5^x-4+3x+2=-5^x+3x-2[/tex]

hope this helps

The value of function (f - g) (x) is,

⇒ 5ˣ + 3x - 2

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

Functions are,

⇒ f (x) = - 5ˣ - 4

⇒ g (x) = - 3x - 2

Hence, We get;

The value of function (f - g) (x) is,

⇒ (f - g) (x)

⇒ f (x) - g(x)

⇒ (5ˣ - 4) - (- 3x - 2)

⇒ 5ˣ - 4 + 3x + 2

⇒ 5ˣ + 3x - 2

Thus, The value of function (f - g) (x) is,

⇒ 5ˣ + 3x - 2

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ7

insert four irrational numbers between 3 root 2 and 2 root 3

Answers

Answer:

         3√2  >  √17  >  √15  >  √14  >  √13 > 2√3

Step-by-step explanation:

[tex]3\sqrt2=\sqrt{3^2\cdot2}=\sqrt{18}\\\\2\sqrt3=\sqrt{2^2\cdot3}=\sqrt{12}\\\\18>17>15>14>13>12\ \implies\ 3\sqrt2>\sqrt{17}>\sqrt{15}>\sqrt{14}>\sqrt{13}>2\sqrt{3}[/tex]

{√16 = 4 is rational}

The total cost of an office dinner was shared equally by k of the n employees who attended the dinner. What was the total cost of the dinner? (1) Each of the k employees who shared the cost of the dinner paid $19. (2) If the total cost of the dinner had been shared equally by k + 1 of the n employees who attended the dinner, each of the k + 1 employees would have paid $18.

Answers

Answer:

$342

Step-by-step explanation:

Let the total cost of the dinner = C

If it was shared equally by k employees who attended the dinner and each of the k employees who shared the cost of the dinner paid $19.

We have:

[tex]\dfrac{C}{k}=19 \\\\C=19k[/tex]

If the total cost(C) had been shared equally by k + 1 employees who attended the dinner, each of the k + 1 employees would have paid $18.

This written mathematically is:

[tex]\dfrac{C}{k+1}=18 \\\\C=18(k+1)[/tex]

Equating the cost, C from both equations

19k=18(k+1)

19k=18k+18

19k-18k=18

k=18

Therefore, the total cost of the dinner,

C=19k

=19 X 18

=$342

X+3y+2z=1
2x-2y-5z=0
-x+2y+4z=1

Answers

Step-by-step explanation:

work is shown and pictured

Which Relation is a Function Please Answer ASAP

Answers

Answer:

A

Step-by-step explanation:

Every input (x value) can have only ONE ouput (y value) to be a function, y- values can be repeated but x- values cannot

Hope that helps

Alex records the running time—the number of minutes a movie lasts from start to finish—of 50 popular movies. The distribution of times, in minutes, is shown in the histogram below. Which of these intervals contains the most movies? 80–90 minutes 90–100 minutes 100–110 minutes 110–120 minutes

Answers

Answer:

Check Explanation

The histogram for the question isn't attached. But from the options provided for this question (80–90 minutes 90–100 minutes 100–110 minutes 110–120 minutes), it is evident that the bars and intervals for the question have the same width. So, the interval with the most movies will be the interval whose bar is the tallest.

Pick the interval whos bar has the highest height.

Step-by-step explanation:

The histogram for this question is missing. I couldnt get the histogram online, so, I will use a random histogram example to explain how to pick the interval with the highest frequency.

A histogram is a chart representation that uses bars to describe numerical data. It divides the entire distribution into Intervals and the number of variables in each interval (the frequency) corresponds to the area of each bar. This is the major difference between a bar chart and a histogram; the bars can be unequal for a histogram unlike that of bar charts.

If the bars are of equal widths, then the frequency of each interval is simply the height of the interval's bar.

In the attached histogram example for this question, the histogram shows the monthly salaries of workers and the frequency of workers receiving whichever salary. The intervals for these salaries for this histograms are in steps of $25. The bars start from $800 to $825, $825 to $850 and so on.

Since all the intervals have the same width, the interval with the most workers receiving the salary in that interval is the $900 to $925 interval with the tallest bar with frequency of 150.

If the bars weren't of the same width, the area of each bar is computed and the bar with the highest area has the highest frequency.

From the options provided for the question asked (80–90 minutes 90–100 minutes 100–110 minutes 110–120 minutes), it is evident that the bars and intervals for the question have the same width. So, the interval with the most movies will be the interval whose bar is the tallest.

Hope this Helps!!!

Answer:

maybe A

Step-by-step explanation:

which of the following box plots best represents the set of data below?

Answers

Answer:

not sure

Step-by-step explanation:

Answer:

answer B

Step-by-step explanation:

to set up whisker plots you have to find the 1st 2nd and 3rd quartile.

hopes this helps

What is the value of y in this exponential decay function when x equals 2?

y = 0.3^x


A: 0.9 B: 0.6 C: 0.06 D: 0.09

Answers

Answer:

The answer is d

Step-by-step explanation:

0.09

Answer:

[tex]\boxed{\sf D. \ 0.09}[/tex]

Step-by-step explanation:

[tex]\sf y = 0.3^x[/tex]

[tex]\sf Plug \ x \ as \ 2.[/tex]

[tex]\sf y = 0.3^2[/tex]

[tex]\sf y =( \frac{3}{10} )^2[/tex]

[tex]\sf y =\frac{3^2 }{10^2 }[/tex]

[tex]\sf y =\frac{9}{100 }[/tex]

[tex]\sf y =0.09[/tex]

PLEASE! NEED HELP!!!

Answers

Answer:

x² + 2x + 2 = 0

Step-by-step explanation:

Formula for finding a quadratic equation when its roots are given is

x² - ( sum of roots)x + product of roots=0

The roots are

- 1 + i

- 1 - i

Sum of roots is = - 1 + i - 1 - i = -2

Product of roots is = ( -1 + i)(- 1 - i)

= 1 + 1 = 2

So the quadratic equation is

x² - (-2)x + 2 = 0

x² + 2x + 2 = 0

Hope this helps you

Answer:

x^2+2x+2

Step-by-step explanation:

to find b in the equation :

b^2<4ac when having two complex roots

the required equation is x2 - Sx + P = 0

the sum of the roots :-1-i+-1-i=-2

the product=2

so the equation: x^2-(-2)x+2

x^2+2x+2

pleasee hellpp pleaseee help​

Answers

Answer:

5 cm and 12 cm

Step-by-step explanation:

Calculate the unknown side h using Pythagoras' identity.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

h² = 3² + 4² = 9 + 16 = 25 ( take the square root of both sides )

h = [tex]\sqrt{25}[/tex] = 5 cm

The perimeter is the sum of the 3 sides, thus

perimeter = 3 + 4 + 5 = 12 cm

1. What is the lateral surface area of a solid 8 meters high
whose base is the figure at right? Dimensions are in meters.
2. Which inequality corresponds to the graph at right?

Answers

Answer:

Step-by-step explanation:

To calculate the lateral surface of this shape we must divide it into 3 parts :

Part 1 : the half cylinder with the radius r=15

We must calculate its perimeter P1 :

P1 = (15*2)*π/2 = 30*π*(1/2)=15π

Part 2 : the half cylinder with the radius r=12-5=7

We must calculate its perimeter P2:

P2= (7*2)*π/2=14*π*(1/2)= 7π

Part 3 : the cube

We won't calculate its perimeter because it has some common sides with the cylinders .

Let P3 be the perimeter of what's remaining from the cube

P3=12+5= 17

Now the total perimeter : Pt

Pt= 15π+7π+17= 22π+17

The lateral surface : Ls

Ls= (22π+29)*8= 784.92 m²

The inequality :  -1<x≤4

How are periodic phenomena relatively easy to model using trig functions? What makes them difficult to model this way?

Answers

Answer:

Periodic phenomena means that the phenomena has a (almost) constant time period or space period.

As you know, the trigonometric functions cos(x) and sin(x) also have a constant period of 2*pi, so these functions are really useful to model periodic phenomena.

Now, the problem may be that the trigonometric functions may be useful to describe the "periodic" part, but not to describe the actual phenomena.

An example of this can be a square alternating current.

While it has a constant period like a trigonometric function, the trigonometric functions can not really model the "square" part of this current (you know that the sinusoidal functions actually are curves and continuous)

Here comes something called the Fourier Series, that are series of the form:

F(x) = a₀ + ∑(aₙ*cos(nx) + bₙ*sin(nx))

That can be used to model almost any periodic phenomena, but the actual Fourier Series may be hard to construct.

Calculate the volume of this cylinder, giving your answer to one decimal place. I will give brainliest

Answers

Answer:

603.2

Step-by-step explanation:

V=πr^2h

V=π(4)^2(12)

V=π(4)^2(12)

V=603.1857895

This figure represents a step in a compass-and-straightedge construction. Identify the construction.

Answers

Answer:

It looks like a DNA strand or an infinity sign

Step-by-step explanation:

Idk if that's the correct answer tho sorry.

Answer: perpendicular bisector

Step-by-step explanation:  A line drawn through points C and D will be perpendicular to line segment AB and it will bisect  AB

g Random digits are integers selected from among {0,1,2,3,4,5,6,7,8,9} one at a time in such a way that at each stage in the selection process the integer chosen is just as likely to be one digit as any other. In simulation experiments it is often necessary to generate a series of random digits by using a random number generator. In generating such a serie, let X denote the number of trials needed to obtain the first zero. a) What is the functional form of the pmf? b) Find the P(X=3). c) Find P(X<=5). d) What is the mean of X? e) What is the Var(X)?

Answers

Answer:

a) P(X=x) = p× (1-p)^(x-1)

b) P(X=3) = 0.081

c) P(X≤5) = 0.40951

d) Mean of X= 10

e) Var(X)= 90

Step-by-step explanation:

This is a question on geometric distribution.

In geometric distribution, we have two possible outcomes for each trial (success or failure) for independent number of binomials series trial. Also the probability of success is constant for each trial.

This discrete probability distribution is represented by the probability density function: f(x) = p× (1-p)^(x-1)

For a random variable with a geometric distribution, we do not know the number of trials we will have = {1, 2, 3, ...}

We stop the trials when we get a success.

From the question, there are 10 numbers

The probability of success = p = 1/10

For the solutions of the question from (a-e), See attachment below.

f(x) = P(X= x)

Where P(X= x) is the probability of X taking on a value x


Suppose Annabelle decides to not get a car after all. Instead, she plans to invest the $200 each month into a structured
savings account that earns 3.6% annual interest compounded monthly. How much money will she earn from interest
after 5 years?

Answers

Answer:

The amount is $239.43

Step-by-step explanation:

The amount she will earn after 5 years is given by

A= p(1+r/n)^(nt)

P = $200

r = 0.036

n = 12*5 = 60

t = 5

A= 200(1+0.036/60)^(300)

A= 200(1+0.0006)^(300)

A= 200(1.0006)^300

A= 200(1.19715)

A= 239.43

The amount is $239.43

Answer:

She will earn $1,126.32 from interest.

Step-by-step explanation:

I did it on edmentum and this was the right answer

a triangle has sides 8cm and 5cm and an angle of 90 degree between them.calculate the smallest angle of the triangle ​

Answers

Answer:

The smallest angle is 32 degrees

Step-by-step explanation:

The given parameters show that the triangle is a right angled triangle;

Let the two other angles be represented by x and y;

Since the angle between side 5 cm and side 8 cm is 90, we can represent any of this sides as the opposite and as the adjacent;

Scenario 1 (Calculating x)

Let opposite = 5 cm

Let adjacent = 8 cm

In trigonometry, The relationship between opposite and adjacent is Tangent;

[tex]Tan\ x = \frac{Opposite}{Adjacent}[/tex]

[tex]Tan\ x = \frac{5}{8}[/tex]

[tex]Tan\ x = 0.625[/tex]

Take arctan of both sides

[tex]x = tan^{-1}0.625[/tex]

[tex]x = 32.0053832081[/tex]

[tex]x = 32[/tex] (Approximated)

Scenario 2 (Calculating y)

Let opposite = 8 cm

Let adjacent = 5 cm

In trigonometry, The relationship between opposite and adjacent is Tangent;

[tex]Tan\ y = \frac{Opposite}{Adjacent}[/tex]

[tex]Tan\ y = \frac{8}{5}[/tex]

[tex]Tan\ y = 1.6[/tex]

Take arctan of both sides

[tex]y = tan^{-1}1.6[/tex]

[tex]y = 57.9946167919[/tex]

[tex]y = 58[/tex] (Approximated)

By comparing the angles, the smallest angle is 32 degrees

Can someone please help me find the answer and help me solve.

Answers

Answer:

sure

Step-by-step explanation:

Answer:

The answer is answer

Step-by-step explanation:

No need for it

for f(x)=2x+1 and g(x)=x^2-7, find (f+g)(x) A. 2x^2-15 B.X^2+2x-6 C.2x^3-6 D.x^2+2x+8

Answers

Answer:

C

Step-by-step explanation:

(f + g)(x) = f(x) + g(x) , thus

f(x) + g(x)

= 2x + 1 + x² - 7 ← collect like terms

= x² + 2x - 6 → C

Trina uses 1/2 of the cup of sugar and 3/4 cup of flour of recipe. How many cups of sugar would she need if she uses 3 cups of flour?

Answers

Answer:

you need 2 cups of sugar

Step-by-step explanation:

1/2 cups of sugar = 3/4 cup of flour

x = 3 cups of flour

1/2*3 = 3/4x

3/2 = 3/4x

x =3/2 ÷ 3/4

x =2

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Enter your answer to four significant figures.)Pressure = atmCompare the results.(Enter your answer to two significant figures.)The _________ is higher by atm, or %. How do KIPP students differ from other public school students ?Explain the qualities that KIPP students possess and how their circumstances distinguish them from other students Convert into the following unit into 30 cm into miter Drag the tiles to the boxes to form correct pairs. In the diagram, transversal t cuts across the parallel lines a and b. Match the pairs of angles with the relationship that shows they are congruent. alternate exterior angles 2, 3 and 5, 8 alternate interior angles 1, 8 and 2, 7 corresponding angles 3, 6 and 4, 5 vertical angles 1, 5 and 2, 6 arrowBoth arrowBoth arrowBoth arrowBoth Irvin buys a car for $21 comma 804. It depreciates 25% each year that he owns it. What is the depreciated value of the car after 1 yr? after 2 yr? The depreciated value of the car after 1 yr is $? The depreciated value of the car after 2 yr is $? Simkin Corporation purchased land for $420,000. Later in the year, the company sold a different piece of land with a book value of $155,000 for $110,000.How are the effects of these transactions reported on the statement of cash flows? Use the minus sign to indicate cash out flows, cash payments, decreases in cash and for any adjustments, if required. If a transaction has no effect on the statement of cash flows, select "No effect" from the drop down menu and leave the amount box blank. Write a flowchart and C code for a program that does the following: Within main(), it asks for the user's annual income. Within main(), it calls a function called printIt() and passes the income value to printIt(). The printIt() function evaluates the income, and if the number is over 90000, it prints a congratulatory message. If the income is not over 90000, it prints a message of encouragement, like "You WILL make $50,000, if you keep going." Think about the first eight lines and the tone of the rest of the poem. How do you think William Blake felt about child labor in London during the Industrial Revolution? Use at least three pieces of evidence from the poem to support your response. Your answer should be three to four sentences long. What are tree facts that you know about the Cold War? Clara writes the following proof for the theorem: If the diagonals of a quadrilateral bisect each other, the quadrilateral is a parallelogram: Besides the gravitational force, a 2.80-kg object is subjected to one other constant force. The objectstarts from rest and in 1.20 s experiences a displacement of (4.20 i - 3.30 j) m, where the direction of jis the upward vertical direction. Determine the other force. A positive charge moves in the direction of an electric field. Which of the following statements are true?a. The potential energy associated with the charge decreases. b. The electric field does positive work on the charge. c. The electric field does negative work on the charge. d. The potential energy associated with the charge increases. e. The electric field does not do any work on the charge. f. The amount of work done on the charge cannot be determined without additional information. which figure has the same order of rotational symmetry as a rectangle which proteins serves as a chemical messenger The amount of time it takes a bat to eat a frog was recorded for each bat in a random sample of 12 bats. The resulting sample mean and standard deviation were 21.9 minutes and 7.7 minutes, respectively. Assuming it is reasonable to believe that the population distribution of bat mealtimes of frogs is approximately normal, a. Construct a 95% confidence interval for the mean time for a bat to eat a frog. b. Construct a 95% confidence interval for the variance of the time for a bat to eat a frog. A random sample of 10 parking meters in a beach community showed the following incomes for a day. Assume the incomes are normally distributed. $3.60 $4.50 $2.80 $6.30 $2.60 $5.20 $6.75 $4.25 $8.00 $3.00 Find the 95% confidence interval for the true mean. (Be sure to indicate your calculations for mean and standard deviation)