Perimeter and area
What is the area of the square, circle, and shaded region?
A)
B)
C)

Perimeter And AreaWhat Is The Area Of The Square, Circle, And Shaded Region?A)B)C)

Answers

Answer 1

(a) The side length of the square is 8 m, so its area is 64 square m.

(b) The radius of the circle is 4 m, so its area is [tex](\pi)(4^{2})=16\pi[/tex] square m.

(c) Subtracting areas, we get the area of the shaded region is [tex]64-16\pi[/tex] square m.

Perimeter And AreaWhat Is The Area Of The Square, Circle, And Shaded Region?A)B)C)
Perimeter And AreaWhat Is The Area Of The Square, Circle, And Shaded Region?A)B)C)

Related Questions

Find the area under the standard normal curve to the left of z=2.63. Round your answer to four decimal places, if necessary.

Answers

The area under the standard normal curve to the left of z = 2.63 is given by calculator will be 0.995.

What is a normal distribution?

The Gaussian distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The area under the standard normal curve to the left of z = 2.63 is given by calculator will be

Area = 0.995

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triangle abc is equal to triangle pqr, angle p=8x+4, angle a=5x+16 , and angle q=10x+2. find angle r
a. 36
b.not enough info
c. 42
d. 102

Answers

Answer: b.not enough info

Step-by-step explanation:

Corresponding angles of congruent triangles are congruent, so [tex]\angle A =\angle P[/tex]

However, we don't have all 3 interior angles of either triangle, so we cannot conclude anything.

GIVING BRAINLIEST TO THE FIRST PERSON WHO CAN SOLVE THESE QUESTIONS. :)

Answers

Answer:

1) y = 2(x+3)^2 -4

2) x+6/x-4

3) 2x^2 + 6x +20 = 0

Step-by-step explanation:

The five evidence-based recommendations addressed in the practice guide include all of the following except:
A. Teach math using a developmental progression and monitor progress to ensure math instruction builds on what each child knows.
B. Teach children to view and describe their world mathematical and integrate math instruction throughout the school day.
C. Make sure you have strong curriculum so that all the math skills are addressed.

Answers

Answer:

I would say b since this defintally usally you aren't expeced to use math ouside of math class at school

Hope This Helps!!!

Answer:

The correct answer is C.

Step-by-step explanation:

Whats the correct answer answer asap for brainlist

Answers

Answer: mountains
Explanation: The snow melts into the rivers

How much interest will Brian earn on $875 in his savings account after 3 months if the annual interest rate is 5.5%?

Answers

The interest that Brain would receive is $12.03.

How much interest would Brain receive?

The interest received is a function of the amount saved, interest time and the length of time the money was saved.

Interest = amount saved x number of months x (annual interest rate / 12)

$875 x 3 x (0.055 / 12) = $12.03

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The graph of f(x)=x2 is shown. Use the parabola tool to graph the function g(x)=(15x)2 . To graph a parabola, first plot the vertex then plot another point on the parabola

Answers

The graph of the parabola can be seen in the image below.

How to plot the parabola?

Here we have the function:

g(x) = (15x)^2

Notice that this is a contraction of scale factor 15 of the function f(x) = x^2

To graph this, we can just evaluate the function in 3 points, the vertex and two other ones.

for x = 0.

g(0) = (15*0)^2 = 0

So we have the point (0, 0).

Evaluating in x = 1 and x = -1 (give the same value) we get:

g(±1) = (±15)^2 = 225

So we have the points (1, 225) and (-1, 225).

Now we can just connect these 3 points with a parabola. The graph can be seen below.

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A social security number is a sequence of nine digits. Determine the number of social security numbers that satisfy the following conditions:
a. There are no restrictions.
b. The digit 8 is never used.
c. The sequence does not begin or end with 8.
d. No digit is used more than once.

Answers

Answer:

765314290

Step-by-step explanation:

doesn’t use 8

Not start with 8

Digits used only 1’cd

Glenn, the owner of a hardware store, originally paid $54.60 for 15 tool sets. At his year-end clearance sale, he sold the last tool set for 24.00 How much money did he lose on the last tool set.

Answers

The amount of money he lose on the last tool set is: $30.60.

Amount lose

Using this formula

Amount lose=Original amount paid -Selling price

Where:

Original amount paid=$54.60

Selling price=$24.00

Let plug in the formula

Amount lose=$54.60-$24.00

Amount lose=$30.60

Therefore the amount of money he lose on the last tool set is: $30.60.

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With the aid of a power reducing formula, 14sin² acos² a = ?

Answers

The reduced form of the trig expression is 7/2sin²2a

Trigonometry identity

Trigonometry identities are written in terms of sine, cosine and tangent. Given the trigonometry identity

14sin² acos² a

Since sin(a)cos(a) = sin2a/2, hence

14sin²acos²a = 14[sin(a)cos(a)]²

14sin²acos²a = 14(sin2a/2)²

14sin²acos²a = 14/4(sin²2a)

14sin²acos²a = 7/2sin²2a

Hence the reduced form of the trig expression is 7/2sin²2a

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Please solve this for me thank you!

Answers

Answer:

620.14

Step-by-step explanation:

Original Equation:

[tex]\frac{4y}{1.025^4}+y-2y(1.05)^2=1500[/tex]

Calculate exponents

[tex]\frac{4y}{1.103812890625}+y-2y(1.1025)=1500\\[/tex]

Simplify:

[tex]3.6238025791990193084270042653997y + y - 2.205y = 1500[/tex]

Add like terms

[tex]2.4188025791990193084270042653997y \approx 1500[/tex]

Divide both sides by 7.012

[tex]y\approx 213.91[/tex][tex]y\approx620.14[/tex]

Answer:

y = $620.14 (nearest cent)

Step-by-step explanation:

Given equation:

[tex]\dfrac{4y}{1.025^4}+y-2y(1.05)^2=\$1,500[/tex]

Factor out y from the left side:

[tex]\implies y\left(\dfrac{4}{1.025^4}+1-2(1.05)^2\right)=\$1,500[/tex]

Carry out the arithmetic operations inside the parentheses by following the order of operations PEMDAS:

Calculate the exponents:

[tex]\implies y\left(\dfrac{4}{1.103812891...}+1-2(1.1025)\right)=\$1,500[/tex]

Carry out the multiplication and division from left to right:

[tex]\implies y\left(3.623802579...+1-2.205\right)=\$1,500[/tex]

Carry out the addition and subtraction from left to right:

[tex]\implies y\left(4.623802579...-2.205\right)=\$1,500[/tex]

[tex]\implies y\left(2.418802579...\right)=\$1,500[/tex]

Finally, divide both sides by the coefficient of y to isolate y:

[tex]\implies \dfrac{y\left(2.418802579...\right)}{2.418802579...}=\dfrac{\$1,500}{2.418802579...}[/tex]

[tex]\implies y=\$620.141558...[/tex]

Therefore, y = $620.14 (nearest cent)

(2x-1)²+8√2xy=4
4y-√8xy-1=1​

Answers

Answer:

Step-by-step explanation:

(2x-1)²+8√2xy=4

4y-√8xy-1=1

4y-2√2 x=2

multiply by 4

16y-8√2xy=8

add to first eq.

(2x-1)²+16y=12

or

16y=-(2x+1)²+12

which gives us a downward parabola.

The population of Kenya is 50 000 000. The population of Pakistan is 4 times greater than the population of Kenya. What is the population of Pakistan?

Answers

Answer:

Step-by-step explanation:

Comment

I would think Pakistan should be more than just 4 times as large as Kenya. However if you are given that Kenya is 50 000 000 then Pakistan will be 4 times the size of Kenya.

Pakistan = 4 * Kenya

Pakistan = 4 * 50 000 000

Pakistan = 200 000 000

Answer: Pakistan = 200 000 000

Consider the problem: Jasmine wants to buy a brand new pair of headphones that cost $99. While she already has $40 saved up, she is planning on working at a local grocery store for $8 an hour to make up the extra cash. Which of the following inequalities will help her determine values of h, the number of hours that Jasmine can work so she can afford the new headphones?

Answers

The number of hours that Jasmine can work so she can afford the new headphones x = 6 weeks.

let x represent the number of weeks it will take to save enough money.

If she saves $11 each week, then in x weeks she will save  11x dollars.

Add this to the 107 she has already saved, and at the end of 11 weeks she will have

  11x + 107 dollars.

We want the amount saved to be equal to the price of the bike, so our equation is

11x + 107 = 173

In a word problem, writing the equation is usually the hardest part. Now we solve the equation.

Subtract 107 from both sides to get

11x = 66

Divide both sides by 11 to get

x = 6 weeks.

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At the beginning of the year (January 1), a company has $11,000 of common stock outstanding and retained earnings of $7,900. During the year, the company reports net income of $8,200 and pays dividends of $2,900. In addition, the company issues additional common stock for $7,700.

Answers

The preparation of the statement of stockholder's equity at the end of the year (December 31) is presented below in the form of table.

How to find the stockholder's equity?

The preparation of the statement of stockholder's equity at the end of the year (December 31) is presented as:

                                   Statement of stockholder's equity        

Particulars Common stock Retained earnings    Total stockholder  

                                                                                          Equity

Beginning

balance        $11,000                  $7,900                     $18,900

Add: Additional

common stock $7,700                                                   $7,700

Add: Net income                           $8,200                    $8,200  

Less - dividend                            -$2,900                    -$2,900

Ending balance  $17,000              $5,300                 $5,300

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Volume and surface area

Answers

By applying the volume formulae for composite figures, cones and hemispheres, we obtain that the volume is approximately equal to 558.9 cubic centimeters.

How to determine the volume of a composite figure

The volume of the composite figure is the sum of the volumes of the two figures: (i) a cone, (ii) a hemisphere. The volume formula of the figure is shown below:

[tex]V = \frac{2\pi}{3} \cdot r^{3} + \frac{\pi}{3}\cdot r^{2}\cdot h[/tex]      

If we know that r = 5.3 cm and h = 8.4 cm, then the volume of the composite figure is:

V = (2π/3) · (5.3 cm)³ + (π/3) · (5.3 cm)² · (8.4 cm)

V ≈ 558.900 cm³

By applying the volume formulae for composite figures, cones and hemispheres, we obtain that the volume is approximately equal to 558.9 cubic centimeters.

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length
AT=5,
3 In right triangle ABC shown below, point D is on
AB and point E is on CB such that AC || DE.
C
D
E
B
If AB= 15, BC = 12, and EC = 7, what is the
length of BD?
1) 8.75
2) 6.25
3) 5
4) 4
id or create
k as done
nments
Assi
to Susan Guha

Answers

Answer:

6.25

Step-by-step explanation:

BE = BC - EC = 12 - 7 = 5

BE/BC = BD/AB

5/12 = BD/15

BD = 15(5/12) = 6.25

The price p (in dollars) and the demand X for a particular clock radio are related by the equation X = 3000 -10p. Find and answer A - D

Answers

The price p based on the equation given is p = 3000 - 0.1x.

How to express the price?

The equation given in the question is x = 3000 - 10p. The price(p) will be:

x = 3000 - 10p.

Make p the subject of the formula

x + 10p = 3000

10p = 3000 - x

p = (3000 - x)/10

p = 3000 - 0.1x

The revenue will be price multiplied by quantity. This will be:

= (3000 - 0.1x) × x

= 3000x - 0.1x²

The marginal revenue will be calculated after differentiating. This will be:

= 3000x - 0.1x²

= 3000 - 0.2x

The demand which is the quantity based on the information will be:

3000 - 0.2x = 0

0.2x = 3000

x = 1500

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Longhorn Corporation provides low-cost food delivery services to senior citizens. At the end of the year on December 31, 2021, the company reports the following amounts:


Cash $ 1,300 Service revenue $ 65,700
Equipment 27,000 Cost of goods sold (food expense) 53,000
Accounts payable 4,000 Buildings 36,000
Delivery expense 2,200 Supplies 3,000
Salaries expense 5,100 Salaries payable 900

In addition, the company had common stock of $36,000 at the beginning of the year and issued an additional $3,600 during the year. The company also had retained earnings of $17,400 at the beginning of the year.

Required:
Prepare the income statement for Longhorn Corporation.

Answers

The preparation of the income statement for Longhorn Corporation for the year ended December 31, 2021, is as follows:

Longhorn Corporation

Income Statement

For the year ended December 31, 2021

Service revenue                             $ 65,700

Cost of goods sold (food expense) 53,000

Gross profit                                      $12,700

Delivery expense     $2,200

Salaries expense        5,100            $7,300

Net Income                                     $5,400

What is the income statement?

The income statement also called income summary is a financial statement that shows the financial performance of a business for a defined financial period.

Thus, from the income statement, the net income and the gross profit, which represent the gains achieved by the entity, are derived.

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What is the probability that a random sample of 10 second grade students from the city results in a mean reading rate of more than 96 words per​ minute

Answers

Using the normal distribution, it is found that there is a 0.1029 = 10.29% probability that the sample mean is above 96.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

Researching the problem on the internet, the parameters are given as follows:

[tex]\mu = 92, \sigma = 10, n = 10, s = \frac{10}{\sqrt{10}} = 3.1623[/tex]

The probability that the sample mean is above 96 is one subtracted by the p-value of Z when X = 96, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{96 - 92}{3.1623}[/tex]

Z = 1.265

Z = 1.265 has a p-value of 0.8971.

1 - 0.8971 = 0.1029 = 10.29% probability that the sample mean is above 96.

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Please help! The graph of a linear function passes through the points (-2,-5) and (1,-3).

Find the slope of this function.

Answers

Answer:

m=2/3

Step-by-step explanation:

[tex]m=\dfrac{\delta y}{\delta x} \\\\=\dfrac{-5-(-3)}{(-2)-1}\\ \\\dfrac{2}{3}[/tex]

In the year 1985, a house was valued at $106,000. By the year 2005, the value had appreciated to $146,000. What was the annual growth rate between 1985 and 2005? Assume that the value continued to grow by the same percentage. What was the value of the house in the year 2010?

Answers

The value of the house in the year 2010 is 150056.47.

What is growth rate?

The growth rate of a value (GDP, turnover, wages, etc.) measures its change from one period to another (month, quarter, year)

Value

v(t) = V0 ( 1 + r)^t

let V0 =  106, v(20) = 146

So,

146 = 110(1 + r )^20

146/110 = (1 + r )^20

1.327 = (1 + r )^20

1+ r = 1.014

r= 0.014

So, annual growth rate is 1.4%.

In the year 2010

v(t) = 106(1.014)^25

v(t) = 106(1.014)^25

v(t) - 150056.47

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yoo if you passed algebra one help me with these questions please should be pretty easy u dont have to explain or anything.

1) Find the domain of the function f ( x ) = 3 ( 3 ) x - 1
options: a. ( 0, ∞ ) b. ( − ∞, ∞ ) c. ( − ∞, 0 ) d. ( 0, 10 )

2) What is the range of the function f ( x ) = 2 x.
options: a.( 0, ∞ )b.( − ∞, 0 )c.( − ∞, ∞ )d.( − ∞, 1 ]

3) What is the range of the function f ( x ) = 2 x.
options: a. ( 0, ∞ ) b. ( − ∞, 0 ) c. ( − ∞, ∞ ) d. ( − ∞, 1 ]

4) What is the domain of the function f ( x ) = 2 x.
options: a. ( 0, ∞ ) b. ( − ∞, 0 ] c. ( − ∞, 0 ) d. ( − ∞, ∞ )

5) What is the range of the function f ( x ) = 2 x − 2.
options: a. [ 1, 5 ] b. ( − ∞, 0 ) c. ( − ∞, ∞ ) d. ( 0, ∞ )

6) What is the domain of the function f ( x ) = -2 x
options: a. ( − ∞, 0 ) b. [ − 1, 5 ] c. ( − ∞, ∞ ) d. ( 0, ∞ )

7) Find the range of the function f ( x ) = -.5 ( 3 ) x-1
options: a. ( 1, ∞ ) b. ( − ∞, 0) c. ( − ∞, ∞ ) d. ( − ∞, -1 )

thanks :)

Answers

See below for the domain and the range of the functions.

How to determine the domain and the range?

As a general rule, all linear functions have a domain and a range of all set of real numbers i.e.  (−∞, ∞)

The functions (2), (3), (4), (5) and (6) are linear functions.

So, their domain and range are  (−∞,∞)

For function (1), we have:

f(x) = 3(3)^x - 1

The above is an exponential function.

The domain of an exponential function is all set of real numbers i.e.  (−∞, ∞)

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What is the best approximation for the perimeter of polygon ABCDE? A. 11.0 units B. 17.0 units C. 24.3 units D. 22.1 units

Answers

TheThe best approximation for the perimeter of polygon ABCDE is: C. 24.3 units.

Perimeter of polygon

Coordinate:

A=(-2,3)

B=(0,6)

C=(5,4)

D=(4,-1)

E=(-1,-2)

Distance AB=√(0+2)²+(6-3)²

Distance AB=√4+9

Distance AB=√13

Distance BC=√(5-0)²+(4-6)²

Distance BC=√25+4

Distance BC=√29

Distance CD=√(4-5)²+(-1-4)²

Distance CD=√1+25

Distance CD=√26

Distance DE=√(-1-4)²+(-2+1)²

Distance DE=√25+1

Distance DE=√26

Distance EA=√(-2+1)²+(3+2)²

Distance EA=√1+25

Distance EA=√26

Perimeter of pathogen ABCDE

=AB+BC+CD+DE+EA

=√13+√29+√26+√26+√26

=√13+√29+3√26

=24.2877 units
= 24.3 units (Approximately)

Therefore the correct option is C.

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Answer: 24.3 units

Step-by-step explanation:

Please help with these 2 questions. I got 73.0 for question 12

Answers

The height of the tower based on the angle of elevation given is

How to calculate the height?

From the information given, the tower is 45m, the clinometer is set at 1.3m above the ground, and the angle of elevation is 32°.

This can be illustrated as:

tan 32° = (45 - 1.3)/x

tan 32° = 43.7/x

x = 43.7/tan 32°

x = 69.93m.

Also, for triangle ACD,

tan 47° = (43.7 + y)/x

x × tan 47° = 43.7 + y

74.49 = 43.7 + y

y = 31.29

The height of the tower will be:

= 43.7 + 31.29

= 74.99m

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Which rule describes the composition of transformations that maps figure PQRS to figure P"Q'R"S"?

Answers

The transformation is R₁R_Q ₁₈₀° option second is correct if the quadrilateral PQRS transformed into P"Q'R"S"

What is geometric transformation?

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have a quadrilateral PQRS shown in the picture.

From the transformation:

The image of Q(x, y) = Q'(-x, -y) will be the highest and leftmost point following the rotation since Point S is the lowest and farthest point to the right of Point Q.

The same applies to points P P' and R R'.

Thus, the transformation is R₁R_Q ₁₈₀° option second is correct.

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Answer:

Option B is the correct answer

Assuming you are a business owner with different shareholders. How may zero growth stock valuation and constant stock valuation affect your business operations?

Answers

The ways that zero growth stock valuation can affect business operations is that:

When zero-growth model states that the dividend is at the same rate, it shows that one has no measure of growth in terms of dividends. This therefore  shows that stock price is equal to the annual dividends and divided also by the needed  rate of return.

What ways does constant stock valuation affect business operations?

The Constant  stock valuation  is known to be a kind of share evaluation as it states that the dividends paid by a firm will consistently increase at a constant growth rate.

This will help one to know especially investors on how to set or know the fair price that one needs to pay for a stock on daily basis today by due to future dividend payments.

The overall statement is that  stock value affect one's business operations as  the company's stock price is one that shows an investor perception of their capability to get profit and also if they can grow their profits in terms of future times.

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If Jonathan has 2 times as many dimes as quarters and they have a combined value of 360 cents, how many of each coin does he have?

Answers

Answer:

16 dimes8 quarters

Step-by-step explanation:

When ratios of quantities are given, it is often convenient to consider a group of objects in which the objects have that ratio.

How many groups?

Here, we have 2 dimes for each quarter, so a group of 2 dimes and 1 quarter is a useful group for this problem. Its value is 2×$0.10 +0.25 = $0.45.

The total value of all of the groups is $3.60, so there must be ...

  $3.60/($0.45/group) = 8 groups

The 8 groups of coins will have 16 dimes and 8 quarters.

4x=-3y+12 I don't know the answer to this please help.

Answers

Answer: y = -4x/3 + 4

Step-by-step explanation:

Assuming you want to solve for y:

4x = -3y + 12

-4x/3 = y - 4

y = -4x/3 + 4

Andrew has a new job at the local pizza store as a delivery boy

Answers

The distance of the entire trip is 15 minutes and  distance far away from the house to the pizza store is 9 blocks away.

Distance

a. The entire trip based on the given graph is 15 minutes.

b.  Distance:

Distance=10-1

Distance=9 block away

c.  Andrew stopped for 3 minutes for 1 minutes between third minutes and fourth minutes.

d. Distance:

Distance=10-2

Distance=8

Distance=15-8

Distance=7 minutes

Distance=5-1

Distance=4 minutes

Therefore the distance of the entire trip is 15 minutes and  distance far away from the house to the pizza store is 9 minutes.

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Other Questions
If A and B are vectors such as A+3b=-3i+j and A-B=i-2j find A and B What type of consideration does the proposed insured offer to an insurancecompany?AO The premium plus the statements in the applicationBO Competent parties and the premiumCO The premium and a legal purposeDO Insurable interest plus the premium Demand is the willingness and ability tobuy a given good or service.offer a given good or service.increase the price of a given good or service.decrease the price of a given good or service. help me with the fonction please im stuck U_U Which statement best describes the passage? Where should there be a paragraph break in the following text? Explain yourself, Paul. The teacher demanded sternly. (1.) I am sorry. I know I should not have cheated on my math test. (2.) Last night I should have been studying, but we have a big game tonight. So I practiced my jump shots instead. So when you handed me the pop quiz I panicked. I know that doesnt justify what I did, but I made a mistake that will never happen again. I promise. (3.) So, please let me play tonight. (4.) Paul pleaded. Nerve cells do not begin to develop until after a child is born. please select the best answer from the choices provided t f It took 84 different tasks to build a Ford car. This is an example ofdiversity of population.skilled craftsmanship.employee benefits.division of labor. How many solutions does the system contain? What is the degree of the polynomial f(x) = (x 1)(x + 1)(x + 3) help pls!introduction to making a difference: its our world,too! What is the potential outcome for an author if she uses a word without realizing its connotation? she may write something that she does not mean she may make a serious spelling error she may force her reader to use a thesaurus she may convince the audience of her writing skills A diagonal of a cube measures StartRoot 150 EndRoot cm. The diagonal of a face measures 10 cm.What is the length, in centimeters, of an edge of the cube? Round the answer to the nearest tenth. P l e a s e h e l p~!!!!!!~!!~~~! What is the art historical term for the African artistic practice of varying the sizes of the figures in a composition according to their importance A statement of cash flows explains the difference between the beginning and ending balances of: Multiple Choice Equity. Cash and cash equivalents. Working capital. Cash and intangible assets. Net income. helppp!!! Lynn is putting tiles on her bathroom floor. Each tile measures 1 square foot each. The floor measures 4 1/2 ft by 3 3/4 ft. How many tiles will she need to cover the floor? Create a list of steps, in order, that will solve the following equation. (x-5)^2=25(x5) 2 =25left parenthesis, x, minus, 5, right parenthesis, squared, equals, 25 Solution steps: Writers pay special attention to detail in their writing. Each author has their own unique voice. Read the following passage and think about the picture Jacobs is painting. What do you find interesting about this particular passage? What is the tone of this passage (scary, dull, exciting, happy, sad)? Explain your thinking.He sat until he was chilled with the cold, glancing occasionally at the figure of the old woman peering through the window. The candle-end, which had burned below the rim of the china candlestick, was throwing pulsating shadows on the ceiling and walls, until with a flicker larger than the rest, it expired. The old man, with an unspeakable sense of relief at the failure of the talisman, crept back to his bed, and a minute afterward the old woman came silently and apathetically beside him. A rectangular prism has a length of 3 1/2 inches, a width of 5inches, and a height of 1 1/2