A cylinder has a radius of 14 m and a height of 6 m. what is the exact volume of the cylinder? responses 84π m³ 84 pi, m³ 168π m³ 168 pi, m³ 504π m³ 504 pi, m³ 1176π m³

Answers

Answer 1

Answer:

answer is on the photo......

A Cylinder Has A Radius Of 14 M And A Height Of 6 M. What Is The Exact Volume Of The Cylinder? Responses

Related Questions

A steep line has a bigger ____________ than a flat line

Answers

a steep line line has  a  bigger absolute greater slope than a flat line

Polynomial uing Remainder Theorem and Factor Theorem checking uing ynthetic diviion. X^4 - x^3 - 3x^2 4x 2 ÷ (x 2)

Answers

The remainder of the polynomial using the remainder theorem and factor theorem is 6.

Apply the remainder theorem,

When we divide a polynomial

f(x) by (x − c)

f(x) = (x − c)q(x) + r

f(c) = 0 + r

Here,

f(x)=(x−c)q(x)+rf(c)=0+r

and (x−c) is (x−(−2))

Therefore,

f(−2) = [tex](-2)^{4} - (-2)^3 - 3(-2)^2 + 4(-2) + 2[/tex]

= 16 + 8 − 12 − 8 + 2

= 6

Hence, the remainder of the polynomial using the remainder theorem is 6.

Whereas using the factor theorem and doing synthetic division, we get,  

x = -2 is a zero of f(x), and x+2 is a factor of f(x). To factor f(x), we divide

the coefficients of the polynomial as follows -

         -2   |   1  -1    -3     4      2

                      -2   6    -6      4

        -----------------------------------------

                    1   -3   3    -2     6

Hence, we get that 6 is the remainder when ([tex]x^4-x^3-3x^2+4x+2[/tex]) ÷ (x+2), using the factor theorem.

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The complete question is -

Find the remainder using the Remainder Theorem and Factor Theorem using the synthetic division of the given polynomial, [tex]x^4-x^3-3x^2+4x+2[/tex] ÷ (x+2)

Tamba jut received a bonu which increaed hi dipoable income by $860. If Tamba' marginal propenity to conume (mpc) i 0. 75, hi conumption rie by _______

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The formula for calculating the change in consumption is MPC x Change in Disposable Income.Thus, Tamba's change in consumption = 0.75 x $860 = $645

The marginal propensity to consume (MPC) is a measure of the proportion of an increase in disposable income that is spent on consumption. In Tamba's case, his MPC is 0.75, which means that for every $1 increase in his disposable income, he will spend 75 cents on consumption. The formula for calculating the change in consumption is MPC x Change in Disposable Income. Therefore, when Tamba's disposable income increased by $860, his consumption increased by 0.75 x $860 = $645.

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What is the Pythagorean theorem? How do you use it to find the length of a missing side in a right triangle? Give an example and show your work.

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The sum of squares of two sides of a triangle is equal to another side of a triangle is called the Pythagorean theorem.

It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

c^2=a^2+b^2--------(1)

Where a,b, and c are sides of a triangle.

To measure the length of the missing side in a right triangle using the Pythagorean theorem:

c^2=a^2+b^2

By using this formula we can find the length of a missing side.

To understand more we have to solve an example:

let A, B, and C are points of a triangle AB, BC, and CA are the sides of the triangle.

Consider BC=3cm CA=4cm AB=?

Use equation(1) to find the length of AB

AB^2=BC^2+CA^2

AB^2=3^2+4^2

AB^2=9+16=25

AB=5cm

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find a function f such that f '(x) = 3x3 and the line 81x + y = 0 is tangent to the graph of f.

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To find the function, we need to find the values of x and y.

In the aforementioned example, x and y are the independent and dependent variables, respectively. A function is an equation with just one solution for every value of y in the equation. A function pairs each input of a particular type with exactly one output. Instead of y, it is typical to name functions f(x) or g(x).

As we know,

fx = 3x to the power 3

f(x) =

[tex]3x {}^{3 } \: dx \: + c \\ \\ fx = 3x { }^{4} \div 4 + c \\ \\ \\ \\ 3x {}^{3} = - 81 \\ \\ x \: = 243 \\ [/tex]

Hence x is 242

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Mario and hi friend went to a movie on Saturday they left the houe at 5:15 PM. It took one hour and 20 minute to drive to the theater and they arrived 25 minute before the movie tarted. What time did the movie tart?

Answers

By applying the algebra concept, we can conclude that the movie that Mario and his friend watched starting at 7 PM

The use of algebra in everyday life.

Algebra is a branch of mathematics that uses numbers, symbols, or letters to solve math problems. In everyday life, algebra is often used for financial planning, traveling time calculation, and so on.

In the above problem, we can take some notes as follows:

Departure time (x) = 5:15 PM

Travel time (t) = 1 hour 20 minutes

Arrival time (y) = 25 minutes

If z is the playing time of the movie, then z can be expressed mathematically in the following way:

z = x + t + y

= 5:15 + 1 hour 20 minutes + 25 minutes

= 6:60 PM or generally written 7:00 PM

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Help please
A.) (-12,-18)
B.) (18,12)
C.) (-18,-12)
D.) (12,-18)

Answers

I think the answer be 12 and -18 D

At a birthday party, Samuel ate
Complete the statement:
1
10
of the birthday cake.
If the cake can be represented as 1 =
10
10
that means we can find out how much cake is left by taking
and then subtracting the amount Samuel ate.
The expression [DROP DOWN 1] represents this situation.
10
10

Answers

If the cake can be represented as 1 = 10/10, that means we can find out how much cake is left by taking and then subtracting the amount Samuel ate. The expression [1 - 1/10] represents this situation.

How to complete the expression

From the question, we have the following parameters that can be used in our computation:

Cake = 1 or 10/10

Samuel's bite = 1/10

The amount remaining is calculated as

Amount remaining = Cake - Samuel's bite

Substitute the known values in the above equation, so, we have the following representation

Amount remaining = 1 - 1/10

The above represents the required expression

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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
What is the distance between points F and G?

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What are the coordinates of the points?

Help me? Care to explain also?


*Gives Brainliest for best ans easy to read answer!*

Answers

Answer:

B

Step-by-step explanation:

Answer: The answer is B

Step-by-step explanation:

if you divide 7 by 12 you will get a decimal and a non terminating 3

A pair of positive integers a and b is such that their greatest common divisor is 5 and their least common multiple is 55. Find the smallest possible value of a+b.

Answers

Answer:

Step-by-step explanation:

The greatest common divisor of two integers a and b is a divisor common to both integers that is greater than any other common divisor. The least common multiple of two integers a and b is the smallest positive integer that is a multiple of both a and b.

To find the smallest possible value of a+b, we can start by trying to find the smallest possible values of a and b that satisfy the given conditions.

Since the greatest common divisor of a and b is 5, we know that both a and b must be divisible by 5. We can write a = 5x and b = 5y, where x and y are positive integers.

The least common multiple of a and b is 55, so we know that both a and b must be factors of 55. We can write 55 as the product of its prime factors: 55 = 5 * 11. Since a is divisible by 5, we know that a must be equal to 5 or 25. Similarly, since b is divisible by 5, we know that b must be equal to 5 or 25.

There are four possible pairs of values for a and b: (5,5), (5,25), (25,5), and (25,25). The smallest of these is (5,5), which gives us a+b = 5+5 = 10. Therefore, the smallest possible value of a+b is 10.

HELP ME PLEASE ITS DUE AT 8 (50 POINTS)

Jamir bought p pencils that cost $0.10 each and F folders that cost $.35 each. A 8.75% sales tax will be applied to the total cost.
PART ONE:
Which expression repersents the total amount Jamir paid,including tax? Write the letter of the correct answer on the line below.

a) 0.0875 (p + f) + 0.0875 (0.10p+0.35f)
b) (0.10p + 0.35f) + 0.0875 (0.10p+0.35P)
c) 0.35(0.0875f) + 0.10(0.0875p)
d) 0.35(1.0875f) + 0.10(1.0875f)

Answer=

PART B
Explain why each of the other answers are worng.

LAST PART
Jamir purchased a dozen pencils and 8 folders. How much did he spend in all,after all tax was applied? Show your work please

Answer$=

Answers

Answer:

b) (0.10p + 0.35f) + 0.0875 (0.10p+0.35P)

first is Jamir total cost + the sales tax of 0.0875 of the total cost

a. this is wrong because both is the sales tax only, theres no total cost include

c. wrong because its just also sales tax only

d. wrong because the total cost must only multiplied by the sales tax

PART B

12(0.10) + 8(0.35)

= 1.2 + 2.8

= $4   as the total cost

4(1.035)

= $4.14 as after tax bill

CREDITS:heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ  -{ elyna s }-

x^2-12x+43 i need some help with this maths question

Answers

In order to solve a quadratic equation with one unknown, we need to factor it. If at first glance we can't find easy roots, we do a discrimination.

[tex]f(x)=x^2-12x+43[/tex]Δ[tex]f(x)=b^2-4ac=(-12)^2-4(43)[/tex]Δ[tex]=-28[/tex]

If this value is less than zero, Δ[tex]< 0,[/tex] we determine that it has no solution belonging to the set of real numbers. We will find a conjugate and two complex roots. ([tex]a+bi[/tex])

Let's use the following formulas to find the roots.

[tex]x_{1}=\frac{-b-\sqrt{D} }{2a}= \frac{12-\sqrt{-28} }{2}=6-\sqrt{7}i[/tex][tex]x_{2}=\frac{-b-\sqrt{D} }{2a}= \frac{12+\sqrt{-28} }{2}=6+\sqrt{7}i[/tex]

Complex Solutions:

[tex]6+\sqrt{7}i[/tex][tex]6-\sqrt{7}i[/tex]

15. Robert wants to invest $20,000 in an account
with an annual interest rate of 1.9%. How much
extra will he have after two years if he
compounds continuously, instead of collecting
simple interest monthly? Round answer to the
nearest dollar.
[A] $800
[B] $750
[C] $711
[D] $683
[E] $821

Answers

To find the amount of extra money Robert will have after two years if he compounds continuously instead of collecting simple interest monthly, we need to calculate the compound interest on the investment.

The compound interest is calculated by multiplying the principal (the initial amount invested) by the compound interest rate, raised to the power of the number of compounding periods. In this case, the compound interest rate is 1.9%/12 = 0.158% per month, and there are 12*2 = 24 compounding periods (12 months per year for 2 years).

The compound interest is therefore calculated as follows:

Compound interest = $20,000 * e^(0.158%*24) - $20,000

= $20,000 * e^0.3832 - $20,000

= $20,000 * 1.454 - $20,000

= $4,080 - $20,000

= -$15,920

So the amount of extra money Robert will have after two years if he compounds continuously instead of collecting simple interest monthly is -$15,920. Therefore, the correct answer is [A] $800.

Square ABCD is reflected about side BC. Which of the following statements are true? Select three that apply.
Vertex B is the midpoint of AA'.
Side BC is parallel to AA.
The length of CD is equal to the length of C'D'.
Vertex C and vertex C are located at the same point.

Answers

Reflection is a type of rigid transformation in which an object is flipped about a reference point or line to produce the required image. The three statements that apply are:Vertex B is the midpoint of AA'The length of CD is equal to the length of C'D'Vertex C and vertex C are located at the same point

What i Rigid transformation?

Rigid transformation is a process in which the size, orientation or position of a given object can be changed by applying some principles. Types of rigid transformation are: reflection, translation, dilation, and rotation.

In the given question, the required statements that apply are:

Vertex B is the midpoint of AA'The length of CD is equal to the length of C'D'Vertex C and vertex C are located at the same point

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a local civic theatre has 22 seats in the first row and 21 rows in all. each successive row contains 3 additional seats. how many seats are in the civic theatre

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Using the arithmetic progression, If a theatre has 30 rows of seats there are 22 seats in the first row,21 in the second row, 51 in the third row, then the total number of people that the theatre hold is 2400

The total number of rows = 51

Number of seats in the first row = 22

Number of seats in the second row = 21

Number of seats in the third row = 51

Common difference= Second term - first term

= 26-22

= 4

The given sequence is in arithmetic progression

Substitute the values in the equation

= 15[44+29×4]

= 15[44+116]

= 15×160

= 2400

Hence, using the arithmetic progression, if a theatre has 51 rows of seats  and there are 22 seats in the first row,21 in the second row, 51 in the third row, then the total number of people that the theatre hold is 2400

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The cash price of a refrigerator is rs 34 500. The hire purchase price is a deposit of Rs 6500 and 10 % simple interest on the outstanding balance,to be paifd in 24 monthly installments.Calculate the amount of each monthly instalment.

Answers

Amount of each monthly statement is 1400.

According to question ,

Cash price of refrigerator =34500

Deposit money=6500

Outstanding money=28000

Rate of interest=10%

Time period=24 months or 2 years

∴Simple interest =(principal ×rate of interest×time)÷100

⇒(28000×10×2)÷100

⇒5600

∴The total amount to be paid in 2 years is 28000+5600 =33600

∴Amount to be paid in one month =33600÷24=1400

∴Amount of each monthly statement is 1400.

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please help me with this question
many thanks

Answers

Answer:

  111 girls

Step-by-step explanation:

You have 924 people classified as 383 men, 356 women, and the remainder children. 2/5 of the children are boys, and you want to know the number of girls.

Girls

The number of children is ...

  924 -383 -356 = 185

The 3/5 of children that are not boys are girls, so ...

  girls = 3/5(185) = 111

There are 111 girls in the theater.

Plot the piecewise function on the graph.
2x+6,
-5 < x < -2
-2 < x≤2
2 f(x) = { 1,
-3x+10,

Answers

What we should do is plot each part of the graph individually.

Step 1: Plot f(x) = 2x + 6 part

We know it starts at x = -5 (noninclusive) and ends at x = -2 (inclusive). Therefore, we can draw a line between the two points (-5, -4) and (-2, 2), with an open point at x = -5 and a closed point at x = -2

Step 2: Plot f(x) = 1 part

We know it starts at x = -2 (noninclusive) and ends at x = 2 (inclusive). Therefore, we can draw a line between the two points (-2, 1) and (2, 1), with an open point at x = -2 and a closed point at x = 2

Step 3: Plot f(x) = -3x + 10 part

We know it starts at x = 2 (noninclusive) and ends at x = 5 (inclusive). Therefore, we can draw a line between the two points (2, 4) and (5, -5), with an open point at x = 2 and a closed point at x = 5

You should end up with a graph that looks like the attached image!

The given function f(x) has been plotted in the graph piecewise with proper endpoints.

How t plot a graph?

A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.

In order to plot the graph, we need to find out y's values corresponding to x's value

As per the given piecewise function,

f(x) = [tex]\left \{ {{2x+6 \ \ \ \ -5 < x\leq -2}} \right.[/tex]

f(x) = [tex]\left \{ {{1 \ \ \ \ -2 < x\leq 2}} \right.[/tex]

f(x) = [tex]\left \{ {{-3x+10 \ \ \ \ 2 < x\leq 5}} \right.[/tex]

The function f(x) = 2x + 6 is a linear line with slope 2 and y-intercept 6 shown in red line -5 is excluded while - 2 is included.

The function f(x) = 1 is a constant horizontal line shown in the blue line that -2 excludes while  2 is included.

The function f(x) = -3x + 10 is a linear line with slope -3 and y-intercept 10 shown in the green line 2 is excluded while - 5 is included.

Hence "With the appropriate endpoints, the supplied function f(x) has been piecewise displayed in the graph".

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question 1 options: what is the common difference in the sequence 7, 12, 17, 22, 27, ...? put the just the number in the blank.

Answers

The common difference in the sequence 7, 12, 17, 22, 27,… is that the difference between two numbers increases by five in the ascending order.

A sequence can be referred to or considered as the set of observations, which usually consists of numbers arranged in such a way that they described a common characteristic between them. A sequence can be exhaustive or inclusive, depending upon the numbers being used in the continuity of the sequence. It can also be said that a sequence is a logical arrangement.

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Complete question

what is the common difference in the sequence 7, 12, 17, 22, 27, ...?

please help with this question​

Answers

Answer: the answer should be C :)

Step-by-step explanation:

the slope (x) is -3/4 and the y-intercept is -2

Swimming Pool On a certain hot summer's day, 240 people used the public swimming pool. The daily prices are $1.50 for children and $2.25 for adults. The receipts for admission totaled $510.75. How many children and how many adults swam at the public pool that day?

Answers

Answer:

39 children, 201 adults

Step-by-step explanation:

Let c = number of children

a = number of adults

c + a = 240

1.50c + 2.25a = 510.75

--------------------------------

1.50c + 1.50a = 360

1.50c + 2.25a = 510.75

-------------------------------

.75a = 150.75

a = 201, c = 39

Harry plans to charge $5 for cookies and $10
for cupcakes at the bake sale. He needs to
make a total of $75 to earn a profit. Write an
equation for the number of cookies (x) and
cupcakes (y) that Harry needs to sell at the bake sale.

Answers

Answer: 5x + 10y = or > 75

Step-by-step explanation:

make the number of cookies sold  = x, and the number of cupcakes sold = y, since we don't know the number.

each cookie is $5 so it is 5 times x, and each cupcake is $10 so it is 10 times y.

add those together, and the sum must equal 75. If you have already learned this, it would be an equal to or greater than sign. if not then just use an equal sign.

If 5 log 3 3x=15, what is the value of x?

Answers

The value of x for the expression 5log(3x) = 15 is 6.7.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is 5log(3x) = 15. The value of x for the expression will be calculated as,

5log(3x) = 15

log(3x) = 15 / 5

log(3x) = 3

3x = e³

x = 20 / 3

x = 6.7

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simplify 5 6/7 + (-2 1/3) + 1 5/6





answer fastttttttttttttttttttttttttttttttt
plssssssssssss 20 points

Answers

Solution is 225/42 or 5.35

According to question

5 6/7 + (-2 1/3) + 1 5/6

As it is a mixed fraction we will first solve it

To solve it denominator will get multiplied with the whole number and the solution will be get added to the numerator and the new numerator will get formed.

∴ 41/7 +(-7/3) + 11/6

⇒246-98+77/42.                              (LCM of 7,3,6 is 42)

⇒225/42

∴5.35

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Find the value of x and the two equations

Answers

× is 7

(7×+5) is 54

(5×+19) is 59

list the reasons and statement reasons why line AE ≅ A.F
. Thanks!

Answers

Add missing statements and reasons.

    Statement                            Reason                              

7. FC ≅ EC                        CPCTC8. AE ≅ A.F.                        Transitive property

PLS HELP!!! WILL GIVE BRAINLIEST :)

Answers

Answer:

1/ We use the SSS method to prove that triangle CBD = triangle ABD

2/ We use the AA method to prove that <CBD equal < ABD

Step-by-step explanation:

1/ SSS, or side side side method, is the method we use to see if triangles are the same or not, and we know that the sides of both triangles are equal; this proves that both triangles are equal!

2/ AA, or Angle Angle method, is the method we use to see if the angles of triangles are the same or not, and we know that there are marks at <C and <A, these marks prove that both angles are equal! So, <CBD equal <ABD

Jess has a 4-digit password for her mobile phone.
Each digit can be between 0 and 9 inclusive.
a How many choices are possible for each digit of the code?
b What is the total number of 4-digit passwords that Jess can create?
Jess would like to choose an even number.
The code can start with a zero.
c How many different ways are possible now?

Answers

a. The number of choices possible for each digit of the code is of: 10.

b. The total number of 4-digit passwords that Jess can create is of: 10,000.

c. The number of different ways to create even passwords is of: 5,000.

What is the Fundamental Counting Theorem?

The Fundamental Counting Theorem states that if there are n independent trials, each with [tex]n_1, n_2, \cdots, n_n[/tex] possible results, the total number of outcomes is calculated by the multiplication of the number of outcomes for each trial, according to the rule presented as follows:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

Each digit can be between 0 and 9 inclusive, hence the number of outcomes possible for each digit of the password is given as follows:

10.

The password is composed of four digits, hence the total number of passwords possible is of:

N = 10 x 10 x 10 x 10 = 10,000.

Considering that Jess would like an even number, there are only five outcomes possible for the last digit (0, 2, 4, 6 or 8), hence the number of outcomes is of:

N = 10 x 10 x 10 x 5 = 5,000.

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green and yellow dye are mixed in a 5:6 ratio to make 44 litres of lime-coloured dye. A further 8 litres of yellow dye are added to the mixture.
What is the new ratio of green to yellow dye in its simplest form?

Answers

Answer:

62.5% or in decimal form 0.625

Step-by-step explanation:

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a belief that nature is enlivened or energized by direct personalized spirit beings separable from physical bodies or the material substance they inhabit. It called If any of the the ions comprising an insoluble ionic solid remain in solution, which statement below best describes the state of saturation? Select the correct answer below: O The solution must be saturated. O The solution must be supersaturated. O The solution must be unsaturated. O The solution could be saturated, supersaturated or unsaturated. Why is there a higher number of carriers than affected individuals?Settings:Mode of inheritance - RecessiveParental generation -Male - HeterozygousFemale - Homozygous mutantMatings between relatives - disallowProgeny in first generation - 4Show carriers - turn on specifically, how did your leader display (or not display) aspects of communication and leadership (unit 4), recognizing and leveraging organizational culture and climate (unit 5), and developing high performing teams (unit 6). please include citations and references to units 4, 5, and 6 reading materials that support your answers Which of the following relates to the speed and severity with which the work of one subunit affects the final outputs of the organization?Group of answer choicesWork to ruleType: MCWork flow replaceabilityWork flow centralityWork flow immediacyWork flow pervasiveness a facility that contains all the computing equipment the organization needs to perform its essential business activities is known as a group of answer choices cold site remote site hot site subsidiary location the framing theory of social movements examinesgroup of answer choiceshow participants give meaning to their struggles for social change.why collective behavior occurs in certain patterns.which social goals ought to be pursued.how practical considerations such as fundraising and media coverage impact social movements. A line passing through the points (-8, 13) and (-6, 19) In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the following expression, where x is in centimeters and t is in seconds.x=(4.00cm)cos(3t+/6)(a) At t=0, find the position of the piston.(b) What is its velocity?(c) What is its acceleration?(d) Find the period and amplitude of the motion. An employer's obligation for postretirement health benefits that are expected to be fully provided to or for an employee must be fully accrued by the date the- Benefits are paid.- Benefits are utilized.- Employee retires.- Employee is fully eligible for benefits.Employee is fully eligible for benefits. 44 out of 60 as a persentage Which of the following actions would require rely on muscles with motor units that have hundreds (or even thousands of muscle fibers per neuron? a. Kicking a soccer ball b. Tapping your finger c. Moving your eyes back and forth What is 7/4 of 2b. Hope you see this the null hypothesis claims that the proportion of community college students who work full-time is 0.45. the alternative hypothesis is that this proportion is greater than 0.45. which sample proportion will have the smallest p-value? 7) What is the purpose of this exchange of genetic material during crossover? Why is it important? The range of sound intensities that the human ear can detect is so large that a special decibel scale (named after Alexander Graham Bell) is used to measure and compare sound intensities. The decibel level (dB) is given by I dB(I) = 10 log Io log() where Io is the intensity of sound that is barely audible to the human ear. Use the decibel level formula to find the decibel level for the following sounds. Round to the nearest tenth of a decibel. I = 1.58 x 108 10 (a) Automobile traffic, dB I = 10,800 Io (b) Quiet conversation, dB (c) Fender guitar, dB I = 3.16 * 1011.10 (d) Jet engine, dB I = 1.58 x 1015. Io How do the wind, water, animals, and ballistic mechanisms aid in the pollination and seed dispersal of plants? There is a total of___alleles in this population. there are____alleles in the population. A, B and C are interior angles of a triangle ABC. Show that(i) sin (B+C/2) = cos (A/2)(ii) if angle A= 90, then find the value of tan (B+C/2) A uniform conducting rod is fixed and allowed to pivot about its center, as shown in the figure. A uniform, positively charged conducting sphere is brought near the upper end of the rod, and the rod rotates clockwise. The rod is then reset to the position shown. The sphere is then brought to point X near the lower end of the rod, and the rod rotates counterclockwise. Which of the following could be true of the charge on the rod? Select two answers.The rod is positively charged.The rod is uncharged.The rod has no net charge until the sphere is brought near it.The rod is negatively charged.