What is the area of a square with a perimeter of 55 cm

Answers

Answer 1

Answer:

Step-by-step explanation:

A= 189.06cm2

Answer 2

Answer:

Step-by-step explanation:

189.06cm2


Related Questions

George solved the equation -103 = -2(-7x + 7) + 8x as follows:


-103 = -2(-7x + 7) + 8x

Step 1: -103 = 14x + 7 + 8x

Step 2: -103 = 22x + 7

Step 3: -110 = 22x

Step 4: -5 = x


At which step did he make an error?

Explain the error:

Answers

when multiplying -2 by 7 the answer will be -14 instead of 7 so the answer will be like this
-103 = -2(-7x + 7) + 8x
-103 = 14x - 14 + 8x
-103 = 22x - 14
-89 = 22x
x = -4
Step 1:-103=14x - 14 + 8x
Step 2: -103 = 22x - 14
Step 3: -117 = 22x
Step 4: -5.31818182 = x

How far did I travel to reach my destination on each day of my three-day Trip?
a. On Day 1, after traveling 5/8 of the way to the first day's destination, I still had 15 miles left to go before reaching my first destination.
b. On Day 2, after traveling 18 miles, I still had 2/5 of that day's distance left to go before reaching my second destination.
c. On Day 3, after traveling 5/11 of that day's distance, I still had 6 more miles to travel than what I had already traveled that day, before reaching my third destination.

Answers

The total distances you traveled to reach your destination on each day of your three-day trip are as follows:

a) Day 1 = 40 miles

b) Day 2 = 30 miles

c) Day 3 = 11 miles.

How the total distances are determined:

The total distances are determined using proportions.

Proportion refers to the fractional value of the whole number or quantity.

a) Day 1:

The fractional distance traveled = ⁵/₈

The remaining distance to travel = 15 miles

15 miles = ³/₈ (1 - ⁵/₈)

Proportionately, the total distance = 40 miles (15 ÷ ³/₈)

b) Day 2:

The distance traveled = 18 miles

The remaining distance to travel = ²/₅

The distance traveled = ³/₅ (1 - ²/₅)

³/₅ = 18 miles

Proportionately, the total distance = 30 miles (18 ÷ ³/₅)

c) Day 3:

The distance traveled = ⁵/₁₁

The distance to travel = 6 miles

The distance to travel in fractions = ⁶/₁₁ (1 - ⁵/₁₁)

Proportionately, if 6 miles = ⁶/₁₁, the total distance = 11 miles (6 ÷ ⁶/₁₁)

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

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someone please help me ASAP!!

Answers

Answer:

P(factor of 20) = P(5) = 1/3

Step-by-step explanation:

The factors of 20 are

1 and 20

2 and 10

4 and 5

or 1, 2, 4,  5, 10, 20

In the spinner wheel, only 5 appears as a factor of 20

Since there are 3 numbers and each of them is equally likely, P(any number landing is) = 1/3

P(5) = 1/3

Help Please, I don't understand this

Answers

Firstly, you have to understand that if you talk about slope is a similar word gradient of the graph. So if you are calculating slope you have to use gradient formula:

m= Y2-Y1

X2-X1

therefore, in order for you getting first box & second box you have to use this formula above.

First box answer is:

Points fromthegraph (-2:-2) & (-3:-3)

m= Y2-Y1

X2-X1

m = -3-(-2)

-3-(-2)

m = 1

Second box answer is:

Points fromthegraph (3:3) & (4:4)

m= Y2-Y1

X2-X1

m= 4-3

4-3

m= 1

Third box answer is:

= 4

Forth box answer is:

= -3

The table shows the number of runs earned by two baseball players.


Player A Player B
2, 1, 3, 8, 2, 3, 4, 4, 1 1, 4, 5, 1, 2, 4, 5, 5, 10


Find the best measure of variability for the data and determine which player was more consistent.
Player A is the most consistent, with a range of 7.
Player B is the most consistent, with a range of 9.
Player A is the most consistent, with an IQR of 2.5.
Player B is the most consistent, with an IQR of 3.5.

Answers

To find the best measure of variability for the data and determine which player was more consistent, we can calculate the range and the interquartile range (IQR) for both players.

The range is calculated by subtracting the minimum value from the maximum value in a dataset. The IQR is a measure of dispersion that represents the range between the first quartile (Q1) and the third quartile (Q3) in a dataset.

Let's calculate the range and IQR for both players:

For Player A:

The data for Player A is: 2, 1, 3, 8, 2, 3, 4, 4, 1.

To calculate the range:

[tex]\text{Range} = \text{maximum value} - \text{minimum value}[/tex]

The maximum value is 8, and the minimum value is 1.

[tex]\text{Range} = 8 - 1 = 7[/tex]

For Player B:

The data for Player B is: 1, 4, 5, 1, 2, 4, 5, 5, 10.

To calculate the range:

[tex]\text{Range} = \text{maximum value} - \text{minimum value}[/tex]

The maximum value is 10, and the minimum value is 1.

[tex]\text{Range} = 10 - 1 = 9[/tex]

To calculate the IQR, we need to find the first quartile (Q1) and the third quartile (Q3) for each player:

For Player A:

Arranging the data in ascending order: 1, 1, 2, 2, 3, 3, 4, 4, 8.

To calculate Q1, we find the median of the lower half of the data: 1, 1, 2, 2, 3.

Q1 = 2

To calculate Q3, we find the median of the upper half of the data: 3, 4, 4, 8.

Q3 = 4

The IQR is calculated as:

[tex]\text{IQR} = Q3 - Q1[/tex]

[tex]\text{IQR} = 4 - 2 = 2[/tex]

For Player B:

Arranging the data in ascending order: 1, 1, 2, 4, 5, 5, 5, 10.

To calculate Q1, we find the median of the lower half of the data: 1, 1, 2, 4.

Q1 = 1.5

To calculate Q3, we find the median of the upper half of the data: 5, 5, 5, 10.

Q3 = 5

The IQR is calculated as:

[tex]\text{IQR} = Q3 - Q1[/tex]

[tex]\text{IQR} = 5 - 1.5 = 3.5[/tex]

Based on the calculations, we can conclude:

Player A is the most consistent, with a range of 7.

Player B is the most consistent, with a range of 9.

Player A is the most consistent, with an IQR of 2.

Player B is the most consistent, with an IQR of 3.5.

Therefore, the correct answer is:

Player A is the most consistent, with an IQR of 2.

[tex]\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}[/tex]

♥️ [tex]\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}[/tex]

Answer:To find the best measure of variability for the data and determine which player was more consistent, we can calculate the range and the interquartile range (IQR) for both players.

The range is calculated by subtracting the minimum value from the maximum value in a dataset. The IQR is a measure of dispersion that represents the range between the first quartile (Q1) and the third quartile (Q3) in a dataset.

Let's calculate the range and IQR for both players:

For Player A:

The data for Player A is: 2, 1, 3, 8, 2, 3, 4, 4, 1.

To calculate the range:

The maximum value is 8, and the minimum value is 1.

For Player B:

The data for Player B is: 1, 4, 5, 1, 2, 4, 5, 5, 10.

To calculate the range:

The maximum value is 10, and the minimum value is 1.

To calculate the IQR, we need to find the first quartile (Q1) and the third quartile (Q3) for each player:

For Player A:

Arranging the data in ascending order: 1, 1, 2, 2, 3, 3, 4, 4, 8.

To calculate Q1, we find the median of the lower half of the data: 1, 1, 2, 2, 3.

Q1 = 2

To calculate Q3, we find the median of the upper half of the data: 3, 4, 4, 8.

Q3 = 4

The IQR is calculated as:

For Player B:

Arranging the data in ascending order: 1, 1, 2, 4, 5, 5, 5, 10.

To calculate Q1, we find the median of the lower half of the data: 1, 1, 2, 4.

Q1 = 1.5

To calculate Q3, we find the median of the upper half of the data: 5, 5, 5, 10.

Q3 = 5

The IQR is calculated as:

Based on the calculations, we can conclude:

Player A is the most consistent, with a range of 7.

Player B is the most consistent, with a range of 9.

Player A is the most consistent, with an IQR of 2.

Player B is the most consistent, with an IQR of 3.5.

Therefore, the correct answer is:

Player A is the most consistent, with an IQR of 2.

♥️ To find the best measure of variability for the data and determine which player was more consistent, we can calculate the range and the interquartile range (IQR) for both players.

The range is calculated by subtracting the minimum value from the maximum value in a dataset. The IQR is a measure of dispersion that represents the range between the first quartile (Q1) and the third quartile (Q3) in a dataset.

Let's calculate the range and IQR for both players:

For Player A:

The data for Player A is: 2, 1, 3, 8, 2, 3, 4, 4, 1.

To calculate the range:

The maximum value is 8, and the minimum value is 1.

For Player B:

The data for Player B is: 1, 4, 5, 1, 2, 4, 5, 5, 10.

To calculate the range:

The maximum value is 10, and the minimum value is 1.

To calculate the IQR, we need to find the first quartile (Q1) and the third quartile (Q3) for each player:

For Player A:

Arranging the data in ascending order: 1, 1, 2, 2, 3, 3, 4, 4, 8.

To calculate Q1, we find the median of the lower half of the data: 1, 1, 2, 2, 3.

Q1 = 2

To calculate Q3, we find the median of the upper half of the data: 3, 4, 4, 8.

Q3 = 4

The IQR is calculated as:

For Player B:

Arranging the data in ascending order: 1, 1, 2, 4, 5, 5, 5, 10.

To calculate Q1, we find the median of the lower half of the data: 1, 1, 2, 4.

Q1 = 1.5

To calculate Q3, we find the median of the upper half of the data: 5, 5, 5, 10.

Q3 = 5

The IQR is calculated as:

Based on the calculations, we can conclude:

Player A is the most consistent, with a range of 7.

Player B is the most consistent, with a range of 9.

Player A is the most consistent, with an IQR of 2.

Player B is the most consistent, with an IQR of 3.5.

Therefore, the correct answer is:

Player A is the most consistent, with an IQR of 2.

♥️

Step-by-step explanation:

Part 1 - Application
Indiana plans to purchase a new gaming system during the 15% off sale. Let c represent the cost of the gaming system. How can you write a function to represent this?


Indiana also knows that he will have to pay the state tax of 10% on his purchase (after the discount is taken). Let p represent the price. How can he write a function to represent this?


Write one single function to help Indiana know how to calculate the final cost.

Answers

Answer:

The single function to calculate the final cost of the gaming system, including a 15% off discount and a 10% state tax, is: final_cost(c) = 0.935c.

Step-by-step explanation:

To represent the cost of the gaming system before any discounts or taxes, we can use the variable c:

c represents the cost of the gaming system.

To represent the price after the 15% off discount, we need to calculate the discounted price by subtracting 15% of the cost from the original cost:

p = c - 0.15c

Simplifying, we get:

p = 0.85c

Here, p represents the price after the 15% discount has been applied.

To represent the price after the 10% state tax has been added to the discounted price, we need to calculate the price with the added tax:

final_price = p + 0.1p

Simplifying, we get:

final_price = 1.1p

Here, final_price represents the price after the 10% state tax has been added.

Therefore, the correct single function to help Indiana calculate the final cost is:

final_cost(c) = 1.1(0.85c)

Simplifying further:

final_cost(c) = 0.935c

HELP ANSWER HOWLE PAGE PLS

Answers

Step-by-step explanation:

an acute angle is less then 90 degrees, a right angle is 90 degrees, an obtuse angle is more than 90 degrees, a straight angle is 180 degrees, and a reflex angle is more than 180 degrees but less then 360 degrees

The figure is the net for a rectangular prism.

What is the surface area of the rectangular prism represented by the net?

Answers

768 is your Awnser
Reason I did the work

Triangle ABC with vertices at A(−3, −3), B(3, 3), C(0, 3) is dilated to create triangle A′B′C′ with vertices at A′(−1, −1), B′(1, 1), C′(0, 1). Determine the scale factor used.

1
one half
3
one third

Answers

1/3 filler words  im smart filler words i failed geometry filler words  i think its right filler words  

Answer:

1/3

Step-by-step explanation:

how can you represent the relationship between paired data and describe patterns of association?

Answers

With scatter plots.          

The table shows the dollar amounts of donations given by 20 people to a local community center. Which histogram matches this data?

Answers

Answer: A

Step-by-step explanation:

Given by the table shown, we can see that the numbers are already put in least to greatest.

We count how many ranges there are:
(0 to 20)

(20 to 40)

(40 to 60)
(60 to 80)

(80 to 100)

There are 2 numbers that are between he range (0-20)

This doesn’t help us figure out wether it’s A or B. So we move on to the second range, 20 to 40.

Here we see that there are 6 numbers between 20 to 40. That’s only one answer, A


Geraldine Winston

i really need help please

Answers

Answer:

If I am thinking correctly its 72.

Step-by-step explanation:

I multiplied 9 x 8 and I got 72, and if I remember correctly your supposed to multiply to get the area.

Hope this helps :>

Answer : 124ft to the nearest whole number.

Explanation: the formula to find the lateral surface area of a cone is pi times the radius times the slant height. The slant height can be found by rooting the radius squared plus the height squared.

So, 4^2 plus 9^2 rooted multiplied by pi and by the radius, which gives you an answer of 123.7644 which is 124 to the nearest whole number.

Hope this helps.

I don’t get it, what am I supposed to be multiplying!?!

Answers

Answer: 5400

Step-by-step explanation: image attached

Answer:

5400

Step-by-step explanation:

we need to calculate the area of big box (prism).

volume = 4 1/2 X 5 X 3 3/4

= 84.375 in³.

volume of small cube = 1/4 X 1/4 X 1/4

= 0.015625 in³.

now we need to find how many of the small ones go into the big one.

84.375/0.015625

= 5400.

PLEASE HELP!!!!!!!!!!!!

The organized list shows all the possible outcomes of an experiment in which three fair coins are flipped. The possible outcomes of each flip are heads​ (H) and tails​ (T).

Sample Space: HHH HHT HTH HTT THH THT TTH TTT

What is the probability that exactly 3 fair coins land heads up when 3 are flipped?

The probability is?

Type an integer or a fraction.

Answers

To find the probability of getting exactly 3 heads when 3 fair coins are flipped, we need to determine the number of favorable outcomes (outcomes with 3 heads) and divide it by the total number of possible outcomes.

From the sample space given, we can see that there is only one outcome with 3 heads: HHH.

The total number of possible outcomes is 2^3 = 8, as each coin can land in either heads or tails, and there are 3 coins.

Therefore, the probability of getting exactly 3 heads when 3 fair coins are flipped is 1/8.

4. If the base of a parallelogram is 61 m and the area is 645 m2, what is the height of the parallelogram

Answers

Answer:

10.57 m

Step-by-step explanation:

Let the height of the parallelogram be x m

Area of the parallelogram = base*height

                                645    = (61 * x ) m

                                 x = 645/61

                                    = 10.57 m

Hope this helps

Height of parallelogram = 10.57m

Given,

Base of parallelogram = 61 m

Area of parallelogram = 645 m²

Now, according to formula

Area of parallelogram = Base × Height

Substitute the given values in the formula,

645 = 61 × height

Height = 10.57 m

Hence, the height of the parallelogram with area 645m² and base 61 m is 10.57 m  .

Know more about Parallelogram ,

https://brainly.com/question/1563728

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six times the sum of a number and 4 equals 5. Please turn it into an equation :}

Answers

Answer:

6(x + 4) = 5

Step-by-step explanation:

We can break this sentence down into individual operations:

"six times" → this means 6 multiplied by some quantity

6 · ()

"the sum of a number and 4" → this is the quantity that we can put inside the parentheses (Note that "a number" is represented as a variable x, and a "sum" is the result of the addition of multiple numbers.)

6 · (x + 4)

"equals 5" → this is self-explanatory; the expression above is equal to 5

6(x + 4) = 5

⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯

Note that multiplication with a value inside parentheses is implied.

For example,

4(5) = 4 · 5 = 20

⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯

We can solve for x in this equation to solve for "a number".

6(x + 4) = 5

↓ applying the distributive property ... a(b + c) = (a · b) + (a · c)

6x + (6 · 4) = 5

↓ simplifying

6x + 24 = 5

↓ subtracting 24 from both sides

6x = -19

↓ dividing both sides by 6

x = -19/6

6(x+4)=5, the 6 multiplies a number which will be X and four which equals five

15 POINTS
Ann had twice as many candies as Susan. Then Ann ate 3 of her candies.
This can be modeled using the following equation:
A = 2s - 3
Solve the equation for the number of candies Susan has, S
S = A + [?]/[?]

Answers

Answer: S = [tex]\frac{A}{2}[/tex] + [tex]\frac{3}{2}[/tex]

Step-by-step explanation: Isolate S by timesing it by 2, which means you have to times A and 3 by two and take S to the other side of the equation which makes the minus into a plus.

Answer:

[tex]S=\frac{A+3}{2}[/tex]

Step-by-step explanation:

The original equation is:

A=2S-3

But, we are now solving for S, so we have to isolate S.

To do this, we first must add 3 to both sides:

A+3=2S

Next, divide both sides by 2:

[tex]\frac{A+3}{2}=S[/tex]

Hope this helps! :)

10 x 10 to the power of 9 is how many times greater than 5 times 10 to the power of 3
find the answer using scientific notation

Answers

Answer: 2,000,000 or 2*10^6

Step-by-step explanation:

10*10^9 = 10000000000

5*10^3 = 5000

10000000000/5000=2000000

[tex]10x10^9[/tex] = 10 x 1000000000 = 10,000,000,000

5 x 10^3 = 5 x 10 x 10 x 10 = 5,000

Divide 10 x 10^9 / 5 x 10^3 and the answer is

2 x 10^6

I hope this helps you, and if I did anything wrong to this problem, please do let me know :)

help me please help thx

Answers

Answer: 540.4 mm squared

Step-by-step explanation:

Since there are 5 triangles, we can find the area of each one and multiply it by 5:

(bh)/2 * 5

the base is 8 because in an isosceles triangle, you divide the bottom side by 2

(2*20)/2 * 5 =

20 * 5 =

100

We can add this to the base, 440.4, and get a result of 540.4

Answer: 540.4 mm squared

Step-by-step explanation:

Please help i will give points

Answers

Hello !

odd = 5, 7, 9

There are 3 numbers out of a total of 5:

3/5 = 0,6 = 60%

Answer is 60%.

I’m pretty sure the The answer is 60%

Could someone explain this?

Answers

The minimum and the maximum are the lowest and highest numbers that were all given to you, in this case, 4 would be the minimum and 50 would be the maximum

Min: 4
Max: 50

Answer:

You must find the maximum i.e. the highest score and the minimum i.e. the least score.

In the given question, the lowest score is 4.

                                    the highest score is 50.

And there ya go!

HELP IM JUST LEARNING THIS TODAY

Answers

Answer: 2

Step-by-step explanation:

Help...
The Japanese 5 yen coin has a hole in the middle. What are the possible ways to calculate the difference between the outer and inner circumference of the coin? Check all that apply.

Subtract the two diameters and multiply by 3107-11-05-20-05-task
Calculate the circumference of the coin.
Add the two diameters and multiply by 3107-11-05-20-05-task
Subtract the circumference of the hole from the circumference of the coin.
Calculate the radius of the hole.
P.S fr33 points, I know the answers ;)

Answers

Answer:

Subtract the two diameters and multiply by 3107-11-05-20-05-task

Calculate the circumference of the coin.

Subtract the circumference of the hole from the circumference of the coin.

Calculate the radius of the hole.

Step-by-step explanation:

PLSSS HELP, WIL MARK BRAINLIEST!!!

Answers

Answer:

x=10

<DPT=149°

<APW=149°

<WPD=31°

Step-by-step explanation:

4x-9=91-6x

4x+6x=91+9

10x=100

x=10

<DPT=180-(4(10)-9)

<DPT=180-31

<DPT=149

<APW=149 (Same as <DPT)

<WPD=4x-9

<WPD=40-9

<WPD=31

Answer X=10 bc we look at what the numbers say and see if there are crossing or parallel after that we need to figure out the question and solve the question with a calculator and you get your answer. That’s why it’s X=10

I'M SORRY WHAT IS THY ANSEWR?

Answers

I think the answer would be 1/36.

Because there’s 36 possible solutions between the 2 dice and only one of those could get you a sum of 2. So 1 out of 36 or 1/36.
1/36 would be your answer!

help
Use the net to find the surface area of the regular pyramid.

Number only. No Units

Write your answer as a decimal

Answers

Answer: 106.1

Step-by-step explanation:

Find the area of each triangle and multiply by 5

(bh)/2 * 5 =

(6*3)/2 * 5 =

9 * 5 =

45

Add this to the area of the base, 61.9, and get an answer of 106.1  

Please help me out on this needed 20-30 mins

Answers

Answer:

x=+10

Step-by-step explanation:

I hope that helps I think it's the right answer if my calculations are correct it's +10

Answer : x = 10

In a triangle, the angles add up to 180 degrees. 46 + (8x-2) must be equal to 11x + 14, as angles on a straight line also equal to 180 and therefore 180 - (11x + 14) is the missing interior angle on the triangle. (angle ABC + angle BAC = angle BCD)
Using these substitutions, we can calculate x.

(8x - 2) + 46 = (11x + 14)
(80 - 2) + 46 = (110+14)

*100 POINTS** 7th grade geometry pls help

Answers

Answer:

Height = 10 cm

Step-by-step explanation:

The volume of a pyramid can be found using the following formula:

[tex]\boxed{\large \textsf{$V=\frac{1}{3}Ah$}} \large \textsf{ where:}\\\\ \normalsize \textsf{$\bullet{\,V = $ volume of pyramid$}$}\\ \normalsize \textsf{$\bullet{\,A = $ base area$}$}\\ \normalsize \textsf{$\bullet{\,h = $ perpendicular height$}$}[/tex]

Note: in the question, it states that base area = 12 cm³, however, this is an error (typo), and the area is 12 cm², since area is only in 2 dimensions. length and width, whilst volume is in 3 dimensions. length, width, and height.

Now, we can plug in our data into the formula:

[tex]\large \textsf{$40=\frac{1}{3}12h$}\\\\ \large \textsf{$40=4h$}\\\\\boxed{\boxed{\large \textsf{$\therefore h = 10$ cm}}}\\[/tex]

(explanation please so i can understand)
Triangle JKL has vertices at J(−1, −5), K(−2, −2), and L(2, −4). Determine the translation direction and the number of units of the image of triangle JKL if vertex J′ is at (−1, −8).

3 units down
3 units up
7 units to the right
7 units to the left

Answers

Answer:

3 units down

Step-by-step explanation:

J(-1, -5) → J'(-1, -8)

The x coordinate of the vertex J is -1 and does not change in J' (it is still -1)

The y coordinate of J is -5, and for J' is -8.  This means the translation direction of 3 units down.  (-8- -5 = -3)

Check if all answers are correct please tell me by tomorrow 05/16/23 That’s when it’s due. Person who gets all answers checked and correct will be brainliest

Answers

Answer:

Step-by-step explanation:

Answer is solveable is actually A

Other Questions
equation of the line with a slope of -3 and passing through the point (4, -5) whether a person will experience a disequilibrium period as a crisis or merely a transitory phase is most likely to depend on: regarding the population debate, the neo-malthusian thesis is often referred to asa. malthusianb. boserupianc. cassandrad. cornicopian when fannie mae purchases mortgage loans from lending institutions, they are packaged into randys use of made-up words such as ""tricksty"" and ""booksitorium"" is an example of what symptom of psychosis? (t/f) a benefit of not immediately writing to disk when an application performs a file write operation is that i/o scheduling can be more effective. Kevin Kinghorn attempts to defend the ____________________ theory of identity by arguing that Gods recognition guarantees that I persist as the same person across timea. Relationalb. Memoryc. Causald. Bodily A school is arranging a field trip to the zoo. The school spends 733. 71 dollars on passes for 35 students and 2 teachers. The school also spends 325. 85 dollars on lunch for just the students. How much money was spent on a pass and lunch for each student? adapting information systems (is) to new versions of business processes is a quick process. true or false Please help me understand this problem! a rectangular channel on a 0.003 slope is constructed of glass. the channel is 10 ft wide. the flow rate is 400 ft3/s. estimate the water depth. AssessmentWhat is a brokerage account?A. An online account used to pay expenses.B. A deposit account at a financial institution that allowswithdrawals and deposits.C. An interest-paying deposit account at a financialinstitution that provides a modest interest rate.D. An account used to buy investments like stocks, bonds,and mutual funds.5/10 Builtrite had sales of $900,000 and COGS of $280,000. In addition, operating expenses were calculated at 25% of sales. Builtrite also received dividends of $50,000 and paid out common stock dividends of $25,000 to its stockholders. A long-term capital gain of $70,000 was realized during the year along with a capital loss of $50,000. Required:a. What is Builtrites taxable income?b. Based on their taxable income, what is Builtrites tax liability?c. If we add to our problem that Builtrite also had $30,000 in interest expense, how much would this interest expense cost Builtrite after taxes?d. Last year Builtrite had retained earnings of $140,000. This year, Builtrite had true net profits after taxes of $75,000 which includes common stock dividends received of $10,000. Builtrite also paid a preferred dividend of $35,000. What is Builtrites new level of retained earnings? ABC company issues 10-year, $200,000 bonds on January 1, 20x1. The stated rate is 10%, interest is payable semi-annually on 6/30 and 12/31. The effective rate is 12%. Calculate the amount of cash received for the bonds.Present value of 1 for 20 periods at 5% .......... .377Present value of 1 for 20 periods at 6% .......... .312Present value of annuity for 20 periods at 5% .... 12.462Present value of annuity for 20 periods at 6% .... 11.470 suppose =1 2 where >0 is a constant, and 1 and 2 are arbitrary constants. find the following. enter 1 as c1 and 2 as c2. which one of the following code snippets accepts the integer input in an array list named num1 and stores the even integers of num1 in another array list named evennum? what's the likelihood of picking a number correctly between 0 to 100 in 5 attempts using binary search incumbents typically have a cost advantage as compared to new entrants because: Two conducting concentric spherical shells have radii a = 0.125 m and b = 0.23 m.(a) Express the capacitance of the two concentric shells in terms of radii a and b and the Coulomb constant k.(b) Calculate the numerical value of the capacitance in F.(c) Express the capacitance C through the potential difference V across the capacitor and charge Q.(d) If the charge in the inner sphere is +Q = 3 C, the outer sphere Q = -3 C, calculate the electric potential difference V between the outside and the inside conductors in V. Your pen test team is discussing services with a potential client. The client indicates theydo not see the value in penetration testing. Which of the following is the correct responsefrom your team?A. Run a few tests and display the results to the client to prove the value of penetration testing.B. Provide detailed results from other customers you've tested, displaying the value of planned testing and security deficiency discovery.C. Provide information and statistics regarding pen testing and security vulnerabilities from reliable sources.D. Perform the penetration test anyway in case they change their mind.