Evaluate 4s^2 for s = 1/4. Type a numerical answer in the space provided. If necessary, use the / key to represent a fraction bar. Do not type spaces in your answer.

Answers

Answer 1

Answer:

1/4

Step-by-step explanation:

Given [tex]\displaystyle{s=\dfrac{1}{4}}[/tex] and we have to evaluate [tex]\displaystyle{4s^2}[/tex]. We can do by substituting the given value s = 1/4 in 4s² term:

[tex]\displaystyle{4\cdot \left(\dfrac{1}{4}\right)^2}\\\\\displaystyle{4\cdot \dfrac{1}{16}}\\\\\displaystyle{\dfrac{1}{4}}[/tex]

Therefore the value is 1/4


Related Questions

please give detailed answer of the question.

Answers

The resulting coordinates for each row are (-2, 2), (0, 4),()2, 6), (6, 10) and (8,12) respectively

Functions and values

Given the linear function expressed as;

y = x + 4

where

x are the input values and y are the output values

If x = -2

y = -2+4

y = 2

The coordinate (x, y) will be (-2, 2)

If x = 0

y = 0+4

y = 4

The coordinate (x, y) will be (0,4)

If x = 2

y = 2+4

y = 6

The coordinate (x, y) will be (2, 6)

If x = 6

y = 6+4

y = 10

The coordinate (x, y) will be (6,10)

If x = 8

y = 8+4

y = 12

The coordinate (x, y) will be (8, 12)

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pls help with both of the questions

Answers

The number of solutions there are for the functions, -f(x) and f(-x) are; 2 and 2 respectively.

How many solutions are there to each function?

According to the task content, the function given initially is; f(x).

Hence, the function -f(x) represents a reflection of the function f(x) over the x axis. And in this case scenario, the reflection also has 2 solutions as it only cuts the x-axis at two points.

Also, the function f(-x) represents a reflection of the function f(x) over the y-axis. And in this case scenario, the reflection also has 2 solutions as it only cuts the x-axis at two points.

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Simplify the expression completely if possible.

x^{3}-8x^{2}}{x^2-64}

Answers

The simplified expression of [tex]\frac{x^{3}-8x^{2}}{x^2-64}[/tex] is [tex]\frac{x^2}{x + 8}[/tex]

How to simplify the expression?

The expression is given as:

[tex]\frac{x^{3}-8x^{2}}{x^2-64}[/tex]

Factor the numerator

[tex]\frac{x^{2}(x-8)}{x^2-64}[/tex]

Express the denominator as a difference of two squares

[tex]\frac{x^{2}(x-8)}{(x-8)(x + 8)}[/tex]

Cancel out the common factor

[tex]\frac{x^2}{x + 8}[/tex]

Hence, the simplified expression of [tex]\frac{x^{3}-8x^{2}}{x^2-64}[/tex] is [tex]\frac{x^2}{x + 8}[/tex]

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Prove the following identities.
cos(3pi/s+x)=sinx

Answers

[tex]\cos \left(\frac{3\pi}{2}-x \right)=\sin x \\ \\ =\cos \left(\frac{3\pi}{2} \right)\cos x -\sin \left(\frac{3\pi}{2} \right) \sin x \\ \\ =0\cos x -(-1)(\sin x) \\ \\ =\sin x[/tex]

If X-A and X-B, then…

A ZperpA

B X||Y

C A||B

Answers

From the line theorems explained below and when we apply it to the given image, we have; X║Y, A║B, Z ⊥ A

What is the transverse line theorem?

The perpendicular transversal theorem states that in a plane, if a line is perpendicular to one of two parallel lines, then it is also perpendicular to the other line.

Now, since we are told that Line X is perpendicular to Line A, then it means that Line X is also perpendicular to line B.

The inverse of perpendicular transversal theorem states that if there are two perpendicular lines to a straight line, they're parallel to each other. Thus, it means that Line X is parallel to Line Y and similarly, line A is parallel to Line B.

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If each of the numbers in the following data set were multiplied by 17, what
would be the median of the data set?
28, 58, 20, 14, 18, 71, 36

Answers

1. Put the data in order (Least to Greatest.)
14, 18, 20, 28, 36, 58, 71

2. Multiple by 17.
238, 306, 340, 476, 612, 986, 1207

3. Find the Median.
Because this equation is odd, your median will end up right in the middle of the data. Meaning 476 is the Median.

You can check your answer by taking the surrounding two numbers and doing 340+612/2=476.

Reminder this way of solving is for odd equations like yours. :)

A shop has this offer.
£5 reduction if you spend more than £100
or
£10 reduction if you spend more than £140
or
£20 reduction if you spend more than £180
At the shop, shirts cost £49 each.
Tim buys 3 shirts
Craig buys 5 shirts
How much more than Tim does Craig pay?
Optional working
Answer: £
+

Answers

49x3= 147 so 10 reduction will make tim spend 137. 49x5= 245 so 20 reduction will make Craig spend 225. 225-147= 78 so Craig spends 78£ more than tim. All the offers state “X or Y” meaning it’s one or the other hence the ‘or’. Atleast that’s my interpretation of it.

The amount of money Craig paid more than Tim if the shop has an offer of reduction if a particular amount is spent is £88.

How much more than Tim does Craig pay?

The shop discount:

£5 reduction if you spend more than £100

or

£10 reduction if you spend more than £140

or

£20 reduction if you spend more than £180

Cost of a shirt = £49

Tim buys 3 shirts

Total cost of Tim's shirt = £49 × 3

= £147

Amount Tim paid = £147 - £10

= £137

Craig buys 5 shirts

Total cost of Craig's shirt = £49 × 5

= £245

Amount Craig paid = £245 - £20

= £225

Difference between Tim and Craig's pay = £225 - £137

= £88

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If the average work week was 43 hours in 2009 and 42 hours and 30 minutes in 2010, by what percentage did the average number of hours worked per week drop from 2009 to 2010?

Answers

The average number of hours worked per week drop from 2009 to 2010 dropped by 1.16%

How to determine the percentage change?

The average work weeks are given as:

Year 2009 = 43 hours

Year 2010 = 42 hours 30 minutes

Rewrite as:

Year 2010 = 42.5 hours

The percentage change is then calculated as:

Percentage change= (Final - Initial)/Initial * 100%

So, we have:

Percentage change= (42.5 - 43)/43* 100%

Evaluate

Percentage change= -1.16%

Hence, the average number of hours worked per week drop from 2009 to 2010 dropped by 1.16%

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look at the pictures​

Answers

The function is increasing on the interval (3, ∞)

Interval of a function

Given the rational function shown below

g(x) = -2√x-3

For the function to be a positive function, the value in the square root  must be positive such that;

x - 3 = 0

Add 3 to both sides

x = 0 + 3

x = 3

Hence the interval where the function is increasing is (3, ∞)

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Use the data in the table to describe how the population in a town is changing. Then identify a function that
models the data. Use your function to predict the population after 6 years.
Population in a Town
Year
0
1
2
3
Population
600
1200
2400
4800
O There is a constant ratio 2
y = 600(2)*
38,400
O There is a constant ratio 2
y = 600 + 2x
5412
O There is a constant ratio 4
y = 600(2x)
7200
www
There is a constant ratio 4
y = 600 + 2x
664
D

Answers

The data given illustrates that there's a constant ratio of 2 and y = 600(2)^x; 38400

How to compute the ratio?

The ratio based on the information given will be:

= 1200/600

= 2

Therefore, the constant ratio is 2.

In 6 years, the population will be:

= 600 × 2^6

= 600 × 64

= 38400

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Find the y-intercept of the line.
y=0.2x-6.9
y-intercept:

Answers

Answer:

0.2

Step-by-step explanation:

y = mx + b  The slope is the number before the x.

Use the slope-intercept form to estimate the slope and y-intercept.

Slope: 0.2

y-intercept: (0,−6.9)

What is slope-intercept form?

The slope intercept form in math exists as one of the forms utilized to estimate the equation of a straight line, given the slope of the line and intercept it forms with the y-axis.

The slope-intercept form exists y = mx + b, where m exists the slope and b exists the y-intercept.

y = mx + b

Use the slope-intercept form to estimate the slope and y-intercept.

Slope: 0.2

y-intercept: (0,−6.9)

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Find the measure of Angle E if Arc AB = 80 degrees and Arc CD = 38. Round to the nearest tenth.

Answers

The measure of angle E in the secant intersection is 21 degrees.

How to find the angle of intersected secant?

When two secants intersect outside a circle, the circle divides the secants into segments that are proportional with each other

Therefore,

m∠E = 1 / 2 (∠AB - ∠CD)

m∠E = 1 / 2 (80 - 38)

m∠E = 1 / 2 (42)

m∠E = 42 / 2

m∠E = 21 degrees.

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A jar has 16 marbles, 10 green, 2 blue, 4 red. what is the probability of randomly choosing a red marble then without putting it back, choosing a green marble?

Answers

The probability of drawing a red marble and then a green marble is:

P = 1/6.

How to find the probability?

In the jar we have a total of 16 marbles, such that:

10 are green.2 are blue4 are red.

First, the probability of getting a red marble is give by the quotient between the number of red marbles and the total number of marbles:

p = 4/16 = 1/4

Now we need to draw a green one, the probability is computed in the same way, but this time there are 15 marbles, because we already took one.

q = 10/15

The joint probability (first drawing red, then green) is given by the product between the individual probabilities:

P = p*q = (1/4)*(10/15) = 10/60 = 1/6

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Factor completely 2x3y4 − 8x2y3 + 6xy2.

Answers

Answer:

[tex]2xy^2(xy-1)(xy-3)[/tex]

====================

Given expression

[tex]2x^3y^4-8x^2y^3+6xy^2[/tex]

The greatest common factor of all three terms is [tex]2xy^2[/tex].

Factor this out:

[tex]2xy^2(x^2y^2-4xy+3)[/tex]

Complete the square:

[tex]2xy^2(x^2y^2-4xy+4-1)=[/tex]

[tex]2xy^2((xy-2)^2-1)[/tex]

Factorize further using the identity for the difference of squares:

[tex]2xy^2(xy-2+1)(xy-2-1)=[/tex]

[tex]2xy^2(xy-1)(xy-3)[/tex]

Divide the polynomials.

Answers

Answer:

x^4-3x+2

Step-by-step explanation:

There are several different ways to divide algebraic expressions. Here the most simple way to do it (and good idea to try first) is to FACTOR and CANCEL.

see image.

Factor an x from the top. Cancel that x with the bottom x. See image.

(***Also, note: never "cancel" anything connected by a + or a - )

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\frac{x^{5}+(3\times x^{2}) +(2\times x) }{x}} \end{gathered}$}[/tex]

Takes into account expressions that have not yet been taken into account.

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\frac{\red{\not{x}}(x-1)(x^{3}+x^{2} +x-2) }{\red{\not{x}} } } \end{gathered}$}[/tex]

Cancel x in both the  numerator and the denominator.

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{(x-1)(x^{3}+x^{2} +x-2) } \end{gathered}$}[/tex]

The expression expands

[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{x^{4}-3x+2 } \end{gathered}$} }[/tex]

Given that the two triangles are similar, solve for x if AU = 20x + 108, UB = 273, BC = 703, UV = 444, AV = 372 and AC = 589.

Answers

The value of x in the similar triangles is 18

How to solve similar triangles?

Similar triangles have the same shapes but may have different sizes.

Corresponding side of similar triangles are a ratio of each other.

Therefore,

UV / BC = AU / AB

Hence,

UV = 444 units

BC = 703

AU = 20x + 108

AB = 20x + 108 + 273 = 20x + 381

Therefore,

444 / 703 = 20x + 108 /  20x + 381

cross multiply

444( 20x + 381) = 703(20x + 108)

8880x + 169164 = 14060x + 75924

8880x  - 14060x  = 75924 -  169164

-5180x = -93240

x = -93240 / -5180

x = 18

Therefore, the value of x in the similar triangles is 18

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if your restaurant serves 50 bowls of French onion soup daily and each serving has 8 ounces of onion per portion. Do you think it would be better to purchase whole onions at $1.99 per pound, and cut them yourself, or purchase pre-sliced onions at $2.99 per pound? Explain your rationale using a cost and portion argument

Answers

The second option saves time and cleaning elements, so that one is better.

Which option is better?

We know that every day you sell a total of 50 bowls, and each one needs 8 oz of onion, this means that you need:

50*8 oz = 400 oz

So you need 400 ounces of onion per day.

If you buy at $1.99 per pound (1 lb = 16 oz)

Then the cost per ounce is:

c = $1.99/16

And the cost of 400 ounces is:

C = ($1.99/16)*400 = $49.75

In the case of the pre-sliced onions, the total cost would be:

C' = ($2.99/16)*400 = $74.75

So in the first case, each portion costs:

$49.75/50 = $0.995

And in the second case:

$74.75/50 =$1.495

So the extra cost is returned by the extra time and savings in cleaning elements, thus, the second option is better.

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A race track is miles long. If the car race is 200 laps then how many miles will the drivers travel during the race?

Answers

50 miles
This is because a track lap I 1/4 mile and 200 divided by 4 is 50

The drivers will travel 200x miles during the race.

What is Unit of Measurement?

A definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

Given that A race track is miles long

The car race is 200 laps then we have to find the number of miles the driver travel.

If the race track is x miles long, then one lap around the track is x miles.

If the race is 200 laps, the total distance covered by the drivers is:

200 laps ×  x miles/lap = 200x miles.

Therefore, the drivers will travel 200x miles during the race.

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suppose the equation z^2+4z+20+iz(A+1)=0 where A is constant has complex conjugate root if one of the root of this quadratic is z=B+2i where B is real constant find possible value of A ? please help me I need your help​

Answers

If one of the roots is [tex]w=B+2i[/tex], then the other root is its conjugate [tex]\bar w=B-2i[/tex]. So we can factorize the quadratic to

[tex]z^2 + 4z + 20 + iz (A+1) = (z-(B+2i)) (z-(B-2i))[/tex]

Expand the right side and collect all the coefficients.

[tex]z^2 + (4+(A+1)i) z + 20 = z^2 - 2B z + B^2+4[/tex]

From the [tex]z[/tex] and constant terms, we have

[tex]\begin{cases}4 + (A+1)i = -2B \\ 20 = B^2 + 4 \end{cases}[/tex]

From the second equation we get

[tex]B^2 = 16 \implies B = \pm4[/tex]

Then

[tex]4+(A+1)i = \pm8[/tex]

[tex](A+1)i = 4 \text{ or } (A+1)i = -12[/tex]

Since [tex]\frac1i=-i[/tex], we have

[tex]-\dfrac{A+1}i = 4 \text{ or } -\dfrac{A+1}i = -12[/tex]

[tex]A+1 = -4i \text{ or } A+1 = 12i[/tex]

[tex]\boxed{A = -1 - 4i \text{ or } A = -1 + 12i}[/tex]

Which of the following systems of linear inequalities is represented by the
solution graphed below?
A. y>2 and ysx
B. y 22 and y C. x>2 and y2x
D. x22 and y> x

Answers

Answer: B

Step-by-step explanation:

The line y=2 is solid and shaded above, so it represents [tex]y \geq 2[/tex].

This allows us to eliminate all the options except for B.

Levada borrows $30,900 from her bank to open a florist shop. She agrees to repay the money in 18 months with simple annual interest of 5.5%

Answers

Levada borrows $30,900 from her bank to open a florist shop at rate of 0.98% per month.

How to calculate simple interest amount?

If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest, then the interest amount earned is given by:

[tex]I = \dfrac{P \times R \times T}{100}[/tex]

It is given that Levada borrows $30,900 from her bank to open a florist shop. She agrees to repay the money in 18 months with simple annual interest of 5.5%.

P = $30,900

T = 18 months

Interest  = 5.5%

Interest rate =  P×R×T

5.5 = 30,900 × R × 18

R = 0.000988

Or, R = 0.98% per month.

The complete question is

"a) How much must she pay the bank in 18 months?"

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I need help with this geometry question asap!

Answers

Answer:

  (a)  Theorem 9

Step-by-step explanation:

Any of the given theorems can be used to prove lines are parallel. We need to find the one that is applicable to the given geometry.

Analysis

The marked angles are between the parallel lines (interior) and on opposite sides of the transversal (alternate).

Theorem 9 applies to congruent alternate interior angles.

2. How many 3-person groups can be formed in a club with 8 people?

Answers

Answer:

2

Step-by-step explanation:

8/3 = 2 with a Remainder of 2

Place value in thousands for the 0 in 10000

Answers

The place value in thousands for the 0 in 10000 is 0 thousands

Place value

From the question, we are to the determine the place value in thousands for the 0 in the given number

The given number is

10000

The place value in thousands for the 0 in 10000 is 0 thousands

Hence, the place value in thousands for the 0 in 10000 is 0 thousands

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would anyone be able to help me with this?

Answers

This graph has its maximum at 4. There is no minimum while the inflection is at 2, 10/3.

How to solve for the maximum of the graph

We have ( x-2²) (x-4)

x-2²) = 0, or x - 4

x - 2 = 0, x = 2

Hence we can see that the graph has its minimum at x = 4

b. The graph here does not have a local maximum

c. Next we have to find the point of inflection

To do this you have to differentiate the equation

Use the product rule of differentiation in order to solve for the solution.

(x-2)²[ (x-4) 2 (x-2)]

This would then give us

x -2, 3x -10

In both equations we have to make x the subject of the equation

X = 2, x = 10/3

Hence the point of inflection is 2 and 10/3

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FRAME AN EQUATION AND SOLVE IT .NEED ASAP


3 is added to a number and the result is multiplied by 4 to get 20.​

Answers

Answer:

[tex]\fbox {Required equation : 4(x + 3) = 20}[/tex]

[tex]\fbox {Result : x = 2}[/tex]

Step-by-step explanation:

Let our number be x.

1) 3 is added to this number.

x + 3

2) It is multiplied by 4.

4(x + 3)

3) It is equated to 20.

4(x + 3) = 20

∴ This is our framed equation.

Steps to solve :

1) Divide by 4 on both sides.

1/4 x 4(x + 3) = 20/4x + 3 = 5

2) Subtract 3 on both sides.

x + 3 - 3 = 5 - 2x = 2

∴ The number is 2.

Factor the expression 3x^(2)+10x+8

Answers

Hello,

If we want to factor the expression, we have to solve

3x² + 10x + 8 = 0

a = 3 ; b = 10 ; c = 8

∆ = b² - 4ac = 10² - 4 × 3 × 8 = 4 > 0

x1 = (-b - √∆)/2a = (-10 - 2)/6 = -12/6 = -2

x2 = (-b + √∆)/2a = (-10 + 2)/6 = -8/6 = -4/3

Factor :

a (x - x1)(x - x2)

= 3(x + 2)(x + 4/3)

= (x + 2)(3x + 4)

SKETCHPAD
Question 5
Given AABC shown on the coordinate plane below.
AA"B"C" = Ro (T(-4,3)(ABC))
90°
Draw AA'B'C'' if
You may use different colors for the separate transformations. Indicate your final
answer. Feel free to use the Dynamic Geometry Tool to complete the
transformations.

Answers

The attached figure represents the image of A"B"C" after the transformation

How to transform the triangle?

The transformation rule is given as:

A"B"C" = Ro90° (T(-4,3)(ABC))

This means that we rotate the triangle 90 degrees clockwise, and then translate the triangle

From the figure, the coordinates of ABC are

A = (-1, 2)

B = (1, 4)

C = (3, -1)

The rule of 90 degrees clockwise rotation is

(x,y) ⇒ (y,-x)

So, we have

A' = (2, 1)

B' = (4, -1)

C' = (-1, -3)

The translation of the triangle by T(-4,3) is

(x,y) ⇒ (x - 4, y + 3)

So, we have

A'' = (-2, 4)

B'' = (0, 2)

C'' = (-5, 0)

See attachment for the image of the transformation

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how many lines of symmetry does this figure have​

Answers

Answer:

14 and please Mark me brainlist

Answer:

There are four lines of symmetry in this figure.

Step-by-step explanation:

First look at the mainframe, it has 2 lines of symmetry. And if you look at it diagonally, it has another 2 more lines.

So therefore there is 4 lines of symmetry in this H figure.

Please mark me the Brainliest!

any answer is better than mine. need help asap

Answers

From the line bisected with the given midpoints, we have been able to prove that; BC = CE by substitution property of Equality

How to prove bisection of a Line?

We are given that;

C is the midpoint of BD

D is the midpoint of CE

1) Thus, BC = CD because of definition of Midpoint.

2) Similarly, by definition of midpoint we know that CD = DE.

3)  We can say that BC = DE because of substitution property of equality.

4) We can say that BC + CD = BD because of segment addition postulate.

5) Similarly, by segment addition postulate, we can say that CD + DE = CE.

6) Finally we can say that BC = CE by substitution property of Equality

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Need help ASAP Thankss + BRAINLIST only for correct answer que significa tener sentido del humor 9 - x < -11 lololol help choose the graph that solves system of equations.y=2x-6 y=-4x+3 This month the animal shelter had 50 puppies.Some puppies were adopted. Now there are 40puppies. What is the percent of change? factors of -135 that equal to -7 Who is the 5th president of the united states of America Carl Maxey used legal action toA. maintain segregated schools.B. bring an end to the cold war.C. break down racial barriers.D. support the computer industry. Find the missing sides to the triangle seen below. Find the distance travelled by a vehicle in 10 seconds when it travels at the uniform speed of 72kmh Read the excerpt from The Land.Mister Ray Sutcliffe from Alabama did not look pleased. "All right. All right. I'm going to pay you what you asking, this four times a rider's wagesbut only if you win, you hear? You lose, boy, and you get nothing."I was taking a big risk with my daddy, to walk away with nothing for it. But I figured I'd struck the best deal I could with Ray Sutcliffe, and despite the risk, there was something in me that wanted to prove to my daddy not only that I could ride this stranger's horse, but that I was a man now. I nodded. "I understand," I said. "But if he wins, I'll need my money right after the race."What does this dialogue reveal about Paul?He is naive about business.He is confident in his abilities. SSC-World History-2A. 1-2021The Columbian Exchange between Europe and the Americas brought new diseases that directly caused ...the increased movement of farmers to Europe.Bthe heavy loss of sailors in the journey across the Atlantic Ocean.C the decline of the tobacco industry in the Americas.Dthe massive decline in the Native population of the Americas. Plz Help Its MATH!!! ano ang time singnature awiting pilinas kong mahal In the human arm, the forearm and hand pivot about the elbow joint. Consider a simplified model in which the biceps muscle is attached to the forearm 3.80 cm from the elbow joint. Assume that the person's hand and forearm together weigh 15.0 N and that their center of gravity is 15.0 cm from the elbow (not quite halfway to the hand). The forearm is held horizontally at a right angle to the upper arm, with the biceps muscle exerting its force perpendicular to the forearm.A. Find the force exerted by the biceps when the hand is empty.B. Now the person holds a 80.0-N weight in his hand, with the forearm still horizontal. Assume that the center of gravity of this weight is 33.0 cm from the elbow. Find the force now exerted by the biceps.C. Explain why the biceps muscle needs to be very strong.D. Under the conditions of part B, find the magnitude of the force that the elbow joint exerts on the forearm.E. Under the conditions of part B, find the direction of the force that the elbow joint exerts on the forearm.F. While holding the 80.0-N weight, the person raises his forearm until it is at an angle of 53.0 above the horizontal. If the biceps muscle continues to exert its force perpendicular to the forearm, what is this force when the forearm is in this position?G. Has the force increased or decreased from its value in part B? Explain why this is so, and test your answer by actually doing this with your own arm. Which of the following is theamount of time between thefertilization process and the birth of an organism?A. 9 monthsB. 1 yearC. up to 2 yearsD. it depends on the species 3(x+5)+3(x+5) help! Please According to the preamble, what has happened to the freedom of the press? 9) 5xy+10x ?????????????????? what stood in the way of truman claiming the leader of the free world?