PLEASE HELP (WILL GIVE BRAINLIEST)

PLEASE HELP (WILL GIVE BRAINLIEST)

Answers

Answer 1

Answer: A: 50 ft

Step-by-step explanation:

We need to find the height of this composite figure. We can do so by using the volume formulas, (which include height).

Volume of Figure = Volume of Cylinder + Volume of Hemisphere

26,225.3 = pi r^2 h   +     2/3 pi r^3

26,225.3 = pi 12^2 h + 2/3 pi 12^3

(26,225.3 - 2/3 pi 12^3)/pi 12^2 = h

this simplifies to about 50.

Hence your answer is A

Answer 2
First answer choice :50 ft

Related Questions

a. A train is traveling in a circular track of 53 km radius at 44 km per hour. Find in degrees the angle through which it turns in 1 minute.​

Answers

train turns through an angle of approximately 0.7917 degrees in 1 minute.

Answer:

0.38 degrees.

Step-by-step explanation:

C = 2π(53) = 106π km

The train is traveling at a speed of 44 km/h, which is equivalent to (44/60) km/min since there are 60 minutes in an hour.

d = (44/60) km/min

θ = (d / C) x 360°

θ = [(44/60) / (106π)] x 360°

θ ≈ 0.38°

Therefore, the angle through which the train turns in 1 minute is approximately 0.38 degrees.

Alan is going to eat a round lollipop that has a radius of 2 inches. What is the lollipop's circumference?

Answers

The circumference of the lollipop is 12.57 inches.

Circumference is the measurement of the distance around the outer edge of a closed curve, particularly a circle. It is the total length of the curve that makes up the boundary of the circle.

The circumference of the circle is given by the formula;

Circumference = 2 × π × radius

where π (pi) is the mathematical constant approximately equal to 3.14159265359...

Given that the radius of the round lollipop is 2 inches, we can substitute this value into the formula;

Circumference = 2 × π × 2

Using the approximate value of π as 3.14159265359..., we can calculate the circumference;

Circumference = 2 × 3.141592 × 2

Circumference ≈ 12.56

Therefore, the circumference of the lollipop is approximately 12.57 inches.

To know more about circumference here

https://brainly.com/question/4268218

#SPJ1

Jacob needs to know the volume of the cylinder shown. Which expression will give him the correct volume

Answers

Answer:

3.14 (24 square) (2.5)

Step-by-step explanation:

3.14 24 square 2.5

X radius squared X height???

A
Find the approximate volume of a cylinder with a radius of 5 ft. and height of 40 ft.
Use the approximation 3.1416 or the calculator in your calculations. Round your answer to the nearest hundredth.

B
Find the approximate volume of a cylinder with a diameter of 2 ft. and height of 6 ft.
Use the approximation 3.1416 or the calculator in your calculations. Round your answer to the nearest hundredth.

Answers

Answer: Part A) 3,141.59 Part B) 75.40

Step-by-step explanation:

Sorry if this is wrong.

Use Heron's formula to find the area of the triangle with side lengths 6, 9, and 12, as shown below.

Answers

Answer:

√(6 + 9 +12) = √27 = 3√3

√(-6 + 9 + 12) = √15 = √3√5

√(6 - 9 + 12) = √9 = 3

√(6 + 9 - 12) = √3

(1/4)(3√3)(√3√5)(3)(√3)

= (1/4)(27√3)(√5) = (27√15)/4 = 26.1

Answer:correct answer is 26.1

Step-by-step explanation:

Heron's formula states that the area (A) of a triangle with side lengths a, b, and c is given by:

A = √(s(s-a)(s-b)(s-c))

where s is the semiperimeter, which is half the perimeter of the triangle:

s = (a + b + c) / 2

In this case, the side lengths are a = 6, b = 9, and c = 12. Therefore, the semiperimeter is:

s = (6 + 9 + 12) / 2 = 27 / 2

Using Heron's formula, we can now calculate the area of the triangle:

The total surface area of a
rectangular prism is 1,060 cm². The
prism's base has measurements 8
centimeters and 10 centimeters.
What is the height of the prism?

Answers

Answer:

The surface area of a rectangular prism is given by the formula:

SA = 2lw + 2lh + 2wh

where l, w, and h are the length, width, and height of the prism, respectively. We are given that the surface area of the prism is 1,060 cm², and that the base has measurements 8 cm and 10 cm.

Substituting these values into the formula, we get:

1060 = 2(8)(10) + 2(8)h + 2(10)h

Simplifying and solving for h, we get:

1060 = 160 + 16h + 20h

1060 = 160 + 36h

900 = 36h

h = 25

Therefore, the height of the prism is 25 cm.

Step-by-step explanation:

Can someone please help me with this !! i need this bad for my grade

Answers

The length of the third side of the triangle is 10.7 feet.

How to find the side of a triangle?

Patricia is building a garden in her backyard that is shaped like a triangle. She has already built two sides of the garden  and they have length of 6 feet and 7 feet.

She wants to find the length of the third side. The angles between the the built sides is 110 degrees.

Therefore, let's find the third sides using the included angle and the two known sides.

using cosine rules,

c² = a² + b² - 2ab cos C

c² = 6² + 7² - 2(6)(7) cos 110

c² = 36 + 49 - 84 cos 110°

c² = 85 - 84(-0.34202014332)

c² = 85 + 28.7296920394

c = √113.729

c = 10.6643799632

c = 10.7 feet

Therefore,

third side of the triangle = 10.7 feet

learn more on triangle here: brainly.com/question/3770177

#SPJ1

Mia and Lia are competing in a race. 50 people are in the race and medals are given 1st, 2nd, and 3rd place. What is the likelihood that Mia and Lia place in 1st or 2nd?

1/2450

99/2450

1/1225

1/2500

Answers

The probability that Mia and Lia place in 1st or 2nd is 99/2450. There are two possible scenarios in which Mia and Lia can place in 1st or 2nd: Mia places 1st and Lia places 2nd, or Mia places 2nd and Lia places 1st. The probability of the first scenario is (1/50) * (1/49) = 1/2450. The probability of the second scenario is also (1/50) * (1/49) = 1/2450. Since these two scenarios are mutually exclusive, we can add their probabilities to find the total probability: 1/2450 + 1/2450 = 2/2450. However, we must also account for the fact that there are 49 other people who could place in 3rd. So the final probability is (2/2450) * 49 = 98/2450. Adding the probability that neither Mia nor Lia place in 3rd (1/2450), we get 98/2450 + 1/2450 = 99/2450.

MARK ME BRAINLEIST

Received message. The probability that Mia and Lia place in 1st or 2nd is **99/2450**. There are two possible scenarios in which Mia and Lia can place in 1st or 2nd: Mia places 1st and Lia places 2nd, or Mia places 2nd and Lia places 1st. The probability of the first scenario is `(1/50) * (1/49) = 1/2450`. The probability of the second scenario is also `(1/50) * (1/49) = 1/2450`. Since these two scenarios are mutually exclusive, we can add their probabilities to find the total probability: `1/2450 + 1/2450 = 2/2450`. However, we must also account for the fact that there are `49` other people who could place in 3rd. So the final probability is `(2/2450) * 49 = 98/2450`. Adding the probability that neither Mia nor Lia place in 3rd (`1/2450`), we get `98/2450 + 1/2450 = 99/2450`.

256 chairs in the cafeteria. this is 8 times as many chairs in the library. total chairs in the library

Answers

Answer:

32

Step-by-step explanation:

in the word problem “256 chairs in the cafeteria. this is 8 times the chairs in the library.” Which means 8 times the number of chairs in the library equals the number of chairs in the cafeteria.

L = library

8 x L = 256

to find L divided 256 by 8

256/8 = 32

L = 32

Check the answer

8 x 32 = 256

Four different exponential functions are represented below.
Drag the representation of each function into order from greatest y-intercept to least y-
intercept.

Answers

The graph of the function y = 2x⁴ - 5x³ + x² - 2x + 4 is plotted and attached.

How to solve

We have the 4 functions as shown in the image attached.

The y - intercept is the point where the graph intercepts the y - axis.

Function [1] -

y = 4 + 2x

y - intercept is 4

Function [2] -

y = 5ˣ + 1

y - intercept is 2.

Function [3] -

the y-intercept is 1.

Function [4] -

the y - intercept is at -1.

Therefore, the greatest y-intercept is of function -

f(x) = 2x + 4

and the least y-intercept is of the function shown in graph [4] or function [4].

Read more about graphs here:

https://brainly.com/question/26233943

#SPJ1

Answer:

Carlos puts $3 into his bank account and it grows by 50% each year

f(x)=4^x+1

(The Table)

(The Graph)

Zeke and his stepmother wanted to start volunteering together. They found 9 opportunities online, 7 of which involved working at an animal shelter.
If they randomly chose to apply to 6 of the opportunities, what is the probability that all of them involve working at an animal shelter?

Answers

The likelihood that they will choose to work in an animal shelter for each of the six options they choose is around 0.2214 or 22.14%

The probability is given as,

P = (Favorable event) / (Total event)

The likelihood of choosing an opportunity at an animal shelter is 7/9. If each chance is equally likely to be chosen, the likelihood of choosing six in a row from an animal shelter may be estimated by multiplying the likelihood of choosing one opportunity by itself six times:

P = (7/9) x (7/9) x (7/9) x (7/9)

P = (7/9)⁶

P = 0.2214 or 22.14%

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ1

Sarah is building a 10-foot-long pen for her pet rabbits. She wants to make gravel bases for two circular food containers to go inside the pen along with its width, as shown in the diagram. Let y represent the width of the pen and x represent the radii of the gravel bases and food containers. What system of inequalities can be used to determine the width of the pen, y, and the radii of the gravel bases, x?

Answers

We can use the following system of inequalities to determine the width of the pen, y, and the radii of the gravel bases, x:

1. The width of the pen must be greater than or equal to the sum of the diameters of the two circular food containers, which is equal to 2x + 2x = 4x:

y ≥ 4x

2. The width of the pen must also be less than or equal to the length of the pen, which is 10 feet:

y ≤ 10

3. The radii of the gravel bases must be greater than or equal to the radii of the food containers, which is equal to x:

x ≥ x

4. The radii of the gravel bases must also be less than or equal to half the width of the pen, which is equal to y/2:

x ≤ y/2

SYSTEM OF INEQUALITIES

System of inequalities that can be used to determine the width of the pen, y, and the radii of the gravel bases, x, is:

y ≥ 4xy ≤ 10x ≥ 0x ≤ y/2

Answer:

Step-by-step explanation:

The sum of the diameters of the gravel bases cannot exceed the width of the pen, so 2⁢x+2⁢x≤y. Rewrite this to get y≥4⁢x as the first inequality in the system.Next, to write the expression for the cost of the fencing, find the perimeter of the rectangle and multiply the perimeter by the cost per foot of fencing. The pen is a rectangle, so the perimeter is 2⁢(10)+2⁢(y), or 20+2⁢y. Multiply the cost ($4.00 per foot) by the perimeter to get 4⁢(20+2⁢y).Now write an expression for the gravel bases for the circular food containers. Because A=π⁢r2 and the cost of the gravel is $2.00 per square foot, multiply the cost of the material by the sum of these areas to get 2⁢(π⁢x2)+2⁢(π⁢x2).The total cost must be less than or equal to $150, so we can say that 4⁢(20+2⁢y)+2⁢(π⁢x2)+2⁢(π⁢x2)≤150. Finally, simplify and solve for y.80+8⁢y+2⁢π⁢x2+2⁢π⁢x2≤15080+8⁢y+4⁢π⁢x2≤1508⁢y≤70−4⁢π⁢x2y≤8.75−0.5⁢π⁢x2So, this is the system.

y≥4⁢x

y≤8.75−0.5⁢π⁢x2

Simplify to an expression involving a single trigonometric function with no fractions.

Answers

[tex]\sin^2(\theta)+\cos^2(\theta)=1\hspace{9em} \begin{array}{llll} \textit{Symmetry Identities} \\\\ \sin(-\theta )=-\sin(\theta) \\\\ \cos(-\theta )=\cos(\theta ) \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\cot(-x)\cos(-x)+\sin(-x)\implies \cfrac{\cos(-x)}{\sin(-x)}\cos(-x)+\sin(-x) \\\\\\ \cfrac{\cos(x)}{-\sin(x)}\cos(x)+[-\sin(x)]\implies \cfrac{-\cos^2(x)}{\sin(x)}-\sin(x) \\\\\\ \cfrac{-\cos^2(x)-\sin^2(x)}{\sin(x)}\implies \cfrac{-( ~~ \cos^2(x)+\sin^2(x) ~~ )}{\sin(x)} \\\\\\ \cfrac{-( ~~ 1 ~~ )}{\sin(x)}\implies -\cfrac{1}{\sin(x)}\implies -\csc(x)[/tex]

use the graph below to find the indicated function value

Answers

Answer:

Step-by-step explanation:

NO LINKS!! URGENT HELP PLEASE!!!

Use a flowchart to prove the triangles below are congruent:

Answers

Answer:

- angle T is congruent to angle U (given)

- NS is congruent to SH (given)

- angle TSN is congruent to USH (vertical angles are congruent)

So triangle TNS is congruent to triangle UHS by AAS.

Income 26-28 28-30 30-32 32-34 34-36

Frequency 2 11 8 5 4

The class that contains the 80th percentile is. a) 26-28 b) 28-30 c) 30-32 d) 32-34 e) 34-36

Answers

The class that contains the 80 th percentile is d) 32-34.

How to find the class ?

First, find the total frequency of the income :

Total frequency = 2 + 11 + 8 + 5 + 4 = 30

The position of the number at the 80 th percentile would then be :

= 30 x 80 %

= 24 th position

The cumulative frequency of :

26 - 28 =  2

28  - 30 : 2 + 11 = 13

30 - 32 : 13 + 8 = 21

This then means that the 24 th position is in the next interval of 32 - 34.

Find out more on percentiles at https://brainly.com/question/31484334

#SPJ1

Right triangle XYZ, has vertex angles at the coordinates, X(0, 0), Y(-3, 0) and Z(-3, 4). Its Image, triangle X'Y'Z' has ve
angles at the coordinates, X(3, -5), Y(0, -5), and Z'(0, -1). Describe the horizontal and vertical translations that map
triangle XYZ onto its image, triangle X'Y'Z'.
Oright 5; down 3
Oright 3; up 5
Oright 3; down 5
O left 5; up 3
NEXT QUESTION
ASK FOR HELP
TURN

Answers

The horizontal and vertical translations that map triangle XYZ onto its image, triangle X'Y'Z' include the following: C. right 3; down 5.

What is a translation?

In Mathematics and Geometry, the translation of a graph to the right simply means adding a digit to the value on the x-coordinate of the pre-image.

In Mathematics and Geometry, a horizontal translation to the right is modeled by this mathematical equation g(x) = f(x - N) while a vertical translation to the positive y-direction (downward) is modeled by this mathematical equation g(x) = f(x) - N.

Where:

N represents an integer.g(x) and f(x) represent functions.

In order to map the two triangles, we would have to apply a vertical translation to f(x) by 5 units down and a horizontal translation by 3 units right.

Read more on translation here: brainly.com/question/4521517

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Lisa decides that she wants to know the 98% confidence interval for a population mean despite originally setting out to find the 95% confidence interval. How will this affect the width and the margin of error of her confidence interval for a population mean? Assume that the population standard deviation is unknown and the population distribution is approximately normal.

Answers

The breadth and error margin of the confidence interval will rise when the confidence level is raised from 95% to 98%.

We are more certain that the genuine population mean falls inside the interval if the confidence level is larger. The range of feasible values for the population means will be broader since we need to widen the interval in order to reach this higher degree of confidence.

Since the margin of error equals half of the interval's breadth, it is directly proportional to the interval's width. The margin of error will therefore expand as the confidence level does as well.

More about the margin of error link is given below.

https://brainly.com/question/6979326

#SPJ1

Suppose that 4 friends are given a vintage arcade game that they want to share. If they decide to divide their time, and they decide that they have 26 hours of available time to play in a week, what is each person's fair share of the playing time?

Answers

Answer: 6.5

Step-by-step explanation:

26/4 = 6.5 hours

If 4 friends are sharing a vintage arcade game and they have 26 hours of available time to play in a week, then each person's fair share of the playing time would be 6.5 hours per week.

To calculate this, we simply divide the total available time by the number of people sharing the game:

26 hours / 4 people = 6.5 hours per person

Therefore, each person should get to play the arcade game for 6.5 hours per week if they want to divide their time equally.

Are there any other cost students need to consider when figuring out the total cost? If so, explain the additional cost 

Answers

The equation for contribution for each student is 185.5/14 = 13.25.

Price of new easel= $129

Set of blank canvases = $ 46

Sales tax = $ 10.50

So, the total amount is

= 129 + 46 + 10.5

= 185.5

Then, each student contribute

= 185.5 / 14

= 13.25

Learn more about Unitary Method here:

https://brainly.com/question/22056199

#SPJ1

19. A restaurant wants to study how well its salads sell. The circle
graph shows the sales of salads during the past few days. If 5 of
the salads sold were Caesar salads, how many total salads did
the restaurant sell?
Salads Sold
56%
20%
24%
Caesar
Garden
Cobb

Answers

Answer:

56% Caesar

Step-by-step explanation:

The only salads sold were Caesar and it is majority

need help please. i don't understand

Answers

Answer:

A) oblique hexagonal prism

Step-by-step explanation:

Answer:

right hexagonal prism

Step-by-step explanation:

as seen on the Image below the left one is a right hexagonal prism and the right one is a oblique hexagonal prism.

Here is part of a field.
11m
10m
Does he have enough fence?
You must show all your working.
18m
Diagram NOT
accurately drawn
This part of the field is in the shape of a trapezium.
A farmer wants to put a fence all the way around the edge of this part of the field.
The farmer has 50m of fence.

Answers

You have to use Pythagorus theorem to find the last side as you need to find out the total perimeter
The person above me is correct

Use the Tree Diagram below to answer the following question.

Whats the probability that you will get a 15-inch monitor?

P(15-inch) = ?

a. 0
b. 1
c. 2/6
d. 3

50 points!

Answers

The probability that you will get a 15-inch monitor = 1/3

We know that probability of event is the ratio of number of possible outcomes of event A and the total number of outcomes.

Let us assume that event A = you will get a 15-inch monitor

The number of favourable outcomes for event A are 2

So, n(A) = 2

The sample space for this experiment would be,

n(S) = 6

Using the definition of probability, the required proabability would be,

P(A) = n(A) / n(S)

P(A) = 2/6

P(A) = 1/3

Therefore, the required probability = 1/3

Learn more about the probability here:

https://brainly.com/question/15124899

#SPJ1

Please answer number 3

Answers

For 3 personal training session both gym cost same.

We have,

At Silver gym, membership is $25 per month and personal training sessions are $30 each.

At Fit Factor, membership is $65 per month, the and personal training sessions are $20 each.

let the number of personal session be x.

So, 25+ 30x = 65 + 20x

30x - 20x = 65 - 25

10x = 30

x= 3 sessions

Learn more about Algebra here:

https://brainly.com/question/24875240

#SPJ1

Identify the rule for the function table


y =12 - x

y = x - 12

y = x ÷ 2

y = 2 ÷ x

Answers

The rule of the function table is,

⇒ y = 1/2x

Now, We have to given that;

Table is shown in image.

Let two points on the table is, (24, 12) and (12, 6)

Hence, We get;

The equation for table is,

y - 12 = (6 - 12) / (12 - 24) (x - 24)

y - 12 = - 6/-12 (x - 24)

y - 12 = 1/2 (x - 24)

y - 12 = 1/2x - 12

y = 1/2x

Thus, The rule of the function table is,

⇒ y = 1/2x

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ1

Beatrice is standing on a cliff 70 feet above the ocean. She sees a boat in the ocean that is 600 feet from the base of the cliff. What is the angle of depression at which Beatrice sees the boat?

Answers

The angle of depression at which Beatrice sees the boat is 83.35°.

How to find the angle of depression at which Beatrice sees the boat?

Trigonometry deals with the relationship between the ratios of the sides of a right-angled triangle with its angles.

Check the attached image for the sketch of triangle ABC.

From the sketch, the angle of depression is represented with x:

tan x = 600/70   (tan = opposite/adjacent)

x = tan⁻¹(600/70)

x = 83.35°

Therefore, the angle of depression at which Beatrice sees the boat is 83.35°.

Learn more about Trigonometry on:

brainly.com/question/11967894

#SPJ1

what is the perimeter

Answers

Answer:

2(5) + 2√(3^2 + 7^2) = 10 + 2√58 = 25.2

B is the correct answer.

lamonte car used 5 gallons to travel 125 miles.how many gallons of gas would he need to travel 400 miles

Answers

Answer:

Step-by-step explanation:

1. Get mileage per gallon by dividing miles traveled by gallons used

[tex]\frac{125}{5} = 25 mpg\\[/tex]

2. Divide miles you want to travel by the mileage per gallon you got on the first step

[tex]\frac{400}{25} = 16 gallons[/tex]

Max made 2 gallons of lemonade. Which proportion can Max use to find how many quarts of lemonade he made? Responses 4 quarts1 quart =2 gallon? quarts 4 quarts1 quart =2 gallon? quarts 1 gallon4 quarts =2 gallons? quarts 1 gallon4 quarts =2 gallons? quarts 1 gallon2 quarts = 2 gallons? quarts 1 gallon2 quarts = 2 gallons? quarts 4 quarts1 gallon =2 gallon? quart

Answers

The proportion Max can use to find how many quarts of lemonade is 2 gallons divided by 4 quarts per gallon equals 8 quarts.

How to determine the proportion Max can use to find how many quarts of lemonade

Max can use the following proportion to calculate how many quarts of lemonade he made:

1 gallon equals 4 quarts

Max can calculate the number of quarts by multiplying 2 by 4 because he made 2 gallons of lemonade:

2 gallons divided by 4 quarts per gallon equals 8 quarts

As a result, Max created 8 pints of lemonade.

Learn more about proportion at https://brainly.com/question/1496357

#SPJ1

Other Questions
6) Two reservoirs are connected by a 380 ft long commercial steel pipe with a diameter of 2 ft. There is a square-edged entrance and exit and a threaded 90-degree elbow at the pump The 500 horse power pump supplies water from the lower reservoir to the upper reservoir. Determine the flow rate. 0 90 ft 7) Use the Hazen-Williams equation and the Manning's equation to solve problem 6 and compare your results Question 95Man-made organic compounds that degrade very slowly are referred to as a. total organic compoundsb. fractory compoundsc. refractory organicsd. anaerobic organic compounds PNS- share pathways of photoreceptors. CNS have own pathway to visual cortexNote: Light rays needs to go through the cornea, through the lens, through the fovea centralis (where the greatest conc. of cones, color, and clearity is). At the beginning of the current period, Whispering Winds Corp. had balances in Accounts Receivable of $ 260,000 and in Allowance for Doubtful Accounts of S 11,700. During the period, it had net credit sales of $ 1.040,000 and collections of $ 991.900. It wrote off as uncollectible accounts receivable of $ 9.490. Uncollectible accounts are estimated to total $ 32.500 at the end of the period. (Omit recording cost of goods sold.) (a-c) Enter the beginning balances for Accounts Receivable and Allowance for Doubtful Accounts in a tabular summary. Use the summary to record transactions (a), (b), and (c) below. (a) Record sales and collections during the period (b) Record the write off of uncollectible accounts during the period. (c) Record bad debt expense for the period. How is the arrangement of water molecules related to its density? make sure your calculator is in radian mode for this problem, and that you switch it back after this problem. there are two particles (1 and 2) that are moving around in space. the force that particle 2 exerts on 1 is given by: where the parameters have the values: , , . we will consider a time interval that begins at and ends at . impulse from 2 on 1, find the component of the impulse from 2 on 1 between and . Find the largest three-digit number that can be written in the form 3m+2n where m and n are the positive integers.ExponentAn exponent, also called power or index, is the magnitude by which a number is multiplied by itself.It is denoted in the form xn, where x is multiplied by x for n times.It can be clearly expressed as: the simple stain provides enough information about microbe to clearly identify its species, true or false? A motorboat travels 234 miles in 6 hours going upstream. It travels 342 miles going downstream in the same amount of time. What is the rate of the boat in still water and what is the rate of the current Write a fictional narrative addressing this question: how do stressful situations often reveal the best and worst in people?3 characters A question on Social Security benefits - A. Ray and Sally, married, receive $40,000 in combined social security benefits ($25,000 him; $15,000 her) each year, along with a taxable pension of $120,000 (all HERS). They also have a $1,000,000 tax free bond jointly owned investment which pays them $20,000, at 2%, yearly. How much of the $40,000 social security benefit is taxable? Which of these is NOT a danger when an automatic transmission is forced into a lower gear at high speed?A) Damage to the transmissionB) Loss of engine breaking effect C) Loss of steering controlC) Loss of steering control Consider the following system of equations 21 + 23 = 1 40 + 0 + 503 = 3 401 + x2 + 403 2 Use Q1. to solve the system of equations. 3. Decide if each of the following statements is true or false. (a) Every system of linear equations for which the coefficient matrix is square has a unique solution. (b) Every system of equations has a solution. Maria flipped a coin 60 times, and the coin came up tails 32 times.What is the relative frequency of the coin turning up heads in this experiment? Answer choices are rounded to the hundredths place.0.472.141.880.53 Alice Paul organized a march for women's rights in what city in 1913? A. Chicago B. Los Angeles C. Washington D.C. Construct a 90% confidence aterval for the population mean, the population and 15 has a grade point average of 2.30 with a standard deviation of 0.89. a) (2.61, 2.81) b) (1.89, 2.71) c) (1.51, 3.91) d) (2.21, 3.21) Security Technology Inc. (STI) is a manufacturer of an electronic control system used in the manufacture of certain special-duty auto transmissions used primarily for police and military applications. The part sells for $55 per unit and had sales of 24,000 units in the current year, 2015. STI has no inventory on hand at the beginning of 2015 and is projecting sales of 26,000 units in 2016. STI is planning the same production level for 2016 as in 2015, 25,000 units. The variable manufacturing costs for STI are $16 and the variable selling costs are only $0.50 per unit. The fixed manufacturing costs are $20,000 per year and the fixed selling costs are $500 per year.Required:1. Prepare an income statement for each year using full costing.2. Prepare an income statement for each year using variable costing.3. Prepare a reconciliation and explanation of the difference each year in the operating income resulting from the full- and variable-costing methods. The Spanish want to extract wealth from their colonies in North America. Explain how this impacts colonial society berkowitz and colleagues found that when people had a chance to aggress against someone, the presence of guns: group of answer choices decreased aggression only if they were provoked increased aggression if they were already provoked decreased aggression because it activated a fear response increased aggression even if they were not provoked Identify the disability in which individuals consistently show problems in one or more of these areas: inattention, hyperactivity, and impulsivity.