solve B please thanks

Solve B Please Thanks

Answers

Answer 1

The remaining zeroes of p are x = [tex]\sqrt{6}[/tex] or x = -[tex]\sqrt{6}[/tex].

Given,

The equation is :

p(x) = [tex]4x^3+x^2-24x-6[/tex]

c = -1/4

To find the remaining zeroes of p

Now, According to the question:

[tex]4x^3+x^2-24x-6[/tex]

Apply grouping

[tex](4x^3+x^2)+(-24x-6)=0[/tex]

Factor out common factor

[tex]x^{2} (4x+1)-6(4x+1)=0[/tex]

[tex](x^2-6)(4x+1)=0[/tex]

Apply zero Product Property

4x +1 = 0 or [tex]x^{2} -6=0[/tex]

x = -1/4 or x = [tex]\sqrt{6}[/tex] or x = -[tex]\sqrt{6}[/tex]

Hence, The remaining zeroes of p are x = [tex]\sqrt{6}[/tex] or x = -[tex]\sqrt{6}[/tex].

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Related Questions

Find the two square roots of 1/16

Answers

Answer:

1/4

Step-by-step explanation:

The square root of 1/16 = 1/4

they probably

The two square roots of 1/16 are +1/4 and -1/4

A student performed the following steps to find the solution to the equation
x² + 4x-12-0. Where did the student go wrong?
Step 1. Factor the polynomial into (x + 6) and (x-2)
Step 2. x-6= 0 and x + 2 = 0
Step 3. x = 6 and x = -2
O A. in Step 3
B. The student did not make any mistakes, the solution is correct
O C. in Step 1
OD. in Step 2

Answers

The student got the solution to the quadratic equation wrong at step 2

What are quadratic equations?

A quadratic equation is a mathematical equation in which it's higher power of unknown is 2.

A quadratic equation can be solved by using 4 different method of choice which are formula method, factorization method , completing the square and graphical method.

x^2+4x-12=0 is an example of quadratic equation.

using factorization method to solve the value of x

x^2+6x-2x-12=0

grouping the equation

(x^2+6x)(-2x-12)=0

x(x+6)-2(x+6)=0

(x+6)(x-2)=0

for the equation to be satisfied

(x+6)=0

or

(x-2)=0

Therefore x= -6 or+2

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Find the first five terms of the sequence defined below, where n represents the position of a term in the sequence. Start with n = 1.an = 4n − 5

Answers

Okay, here we have this:

Considering the provided sequence, we are going to find the requested first five terms of the sequence, so we obtain the following:

So what we will do is replace n from 1 to 5, we have:

n=1:

an=4n-5

a1=4(1)-5

a1=4-5

a1=-1

n=2:

an=4n-5

a2=4(2)-5

a2=8-5

a2=3

n=3:

an=4n-5

a3=4(3)-5

a3=12-5

a3=7

n=4:

an=4n-5

a4=4(4)-5

a4=16-5

a4=11

n=5:

an=4n-5

a5=4(5)-5

a5=20-5

a5=15

Finally we obtain that the first five terms are: -1, 3, 7, 11, 15

I need help with this geometry question !! Pls help

Answers

The values of variable x are x₁ = 16, x₂ = - 4.

The measure of angle R is 60°.

The lengths of side RS are RS₁ = 256 and RS₂ = 16.

The lengths of side RT are RT₁ = 256 and RT₂ = 16.

How to find the variables associated to a given triangle

In this problem we need to find the values of four variables related to a triangle, which is seen in the picture, indicating an equilateral triangle. The solution of this question must be done by using definitions and theorems from Euclidean geometry:

Value of variable x

According to Euclidean geometry, the measures of the three sides in an equilateral triangle are the same. Then, the variable x can be found by solving the following equation:

RT = RS

x² = 12 · x + 64

x² - 12 · x - 64 = 0

(x - 16) · (x + 4) = 0

There are two possible solutions:

x₁ = 16, x₂ = - 4

Measure of the angle R

Equilateral triangles have three internal angles of 60°. Therefore, m ∠ R = 60°.

Length of side RS

There are two options:

RS₁ = 16²

RS₁ = 256

RS₂ = (- 4)²

RS₂ = 16

Length of side RT

There are two options:

RT₁ = 12 · 16 + 64

RT₁ = 256

RT₂ = 12 · (- 4) + 64

RT₂ = 16

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There are two bags containing only black and green marbles.

Answers

Answer:

Event 4, Event 1, Event 3, Event 2

Explanations:

Number of black marbles in bag A = 11

Number of green marbles in bag A = 9

Total number of marbles in bag A = 11 + 9 = 20

Number of black marbles in bag B = 8

Number of green marbles in bag B = 2

Total number of marbles in bag B = 8 + 2 = 10

Event 1:

Likelihood of choosing a black marble from bag A = 11/20 = 0.55

Event 2:

Likelihood of choosing a black or green marble from bag A = 11/20 + 9/20

Likelihood of choosing a black or green marble from bag A = 0.55 + 0.45

Likelihood of choosing a black or green marble from bag A = 1

Event 3:

Likelihood of choosing a balck marble from bag B = 8/10 = 0.8

Event 4:

Likelihood of choosing a purple marble from bag B = 0

Since there is no purple marble in bag B

Arrangement of the events from the least likely to the most likely will be:

Event 4, Event 1, Event 3, Event 2

A shipping box has a volume of 1,000 cubic inches. What is the length of one side of the box?

Answers

The length of one side of the box is 10 inches.

How to find the volume of a cube?

Suppose that: The side length of the considered cube is L units.

Then, we get the Volume of that cube = L³ cubic units.

The volume of a cube is of the form V =  L³, where L is the side length.

Given that the shipping box has a volume of 1,000 cubic inches.

Here, we know the volume V, but not the measure of length. So, we can plug in the value 1000 for V and solve for L:

1000 =  L³

Cube root both sides:

L = [tex]\sqrt[3]{1000}[/tex]

Therefore, each side is 10 inches.

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I’m not english person. I cannot understand those. Can someone explain some of them please? I’m trying to pass an english math exam..

Answers

Step-by-step explanation:

lo siento, no tengo idea de cómo explicarte esto. Ummm, hay una aplicación que puedes descargar en tu teléfono para tomar una foto de la hoja de trabajo o el papel y luego la traducirá para ti. Se llama buena traducción o algo en. buena suer

Jill earns $264.50 a week. She is married and claims 3 allowances. What amount is withheld weekly for federal income tax?

Answers

As Jill claims 3 allowances then the amount which is withheld weekly for federal income tax is $11.

Given, Jill earns $264.50 a week.

She is married and claims 3 allowances.

From the table if the wage of a married person is at least $260 but less than $270 and has 3 allowances then weekly income tax is $11.

Individual federal income tax rates in the US are progressive, which means that they rise in proportion to taxable income. Federal income tax rates range from 10% to 37%, and they become effective at a certain level of income. Tax brackets are the ranges of income that the rates apply to. Each tax bracket has a different rate of taxation that applies to certain types of income.

Hence the amount is $11 for federal tax.

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What is two divided by three I’ve two

Answers

Answer:

2 divided by 3 is 0.6 or 2/3

Step-by-step explanation:

Answer:

2/3 or 0.66666666667...

Learning target: I can calculate the surface area of 4 ( width) cm and 20 (height) cm

Answers

Answer:

20 times 4

Step-by-step explanation:

suricce area

20 times 4
STEP-BY-STEP-EXPLANATION

Jorge has 173 fish for his dog sled team that he wants to divide into smaller pieces. how many pieces of fish would there be if jorge divided each fish into tenths.

Answers

The number of pieces of fish that would be there if Jorge divided each fish into tenths is 1730.

It is given that Jorge has 173 fish for his dog sled team that he wants to divide into smaller pieces.

We need to calculate the number of pieces of fish that would be there if Jorge divided each fish into tenths.

We know that each of the fish is divided into 10 parts.

The total number of fish available for the dog is 173.

The total number of pieces of fish is equal to the product of the number of available fish and the number of parts each fish is divided into.

The total number of pieces of fish is equal to 173*10.

The total number of pieces of fish is equal to 1730.

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How far does a rider travel in one complete rotation around the Ferris wheel?

Use 3.14 as an approximation for Pi and round the second answer below to the nearest whole number.

Answers

If the diameter of the Ferris wheel is 80 meters, then a rider will travel  251.2 meters in one complete rotation around the Ferris wheel.

The diameter of the Ferris wheel = 80 meters

The radius of the Ferris wheel = Diameter / 2

= 80/2

= 40 meters

The Total distance travelled by the rider in one revolution = The circumference of the wheel

The circumference of the wheel = 2πr

Where r is the radius of the wheel

Substitute the values in the equation

The circumference of the wheel = 2×3.14×40

= 251.2 meters

Hence, if the diameter of the Ferris wheel is 80 meters, then a rider will travel  251.2 meters in one complete rotation around the Ferris wheel

The complete question is :

If the diameter of the Ferris wheel is 80 meters, how far does a rider travel in one complete rotation around the Ferris wheel?

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Please find the coordinates and also reflect the points on the axis’s, and please demonstrate and plot the points on the graph too reflect it.

Answers

A' = (1, 3)

B' = (0, 6)

C' = (-3, 5)

D' = (-2, 2)

Solve for x. Show each step of the solution.

5(2-x)-10=25-2(3x+40)

Answers

5(2-x)-10=25-2(3x+40)

Remove the parentheses

10-5x-10=25-6x-80

Remove the opposites calculate

-5x=-55-6x

Move the variable to the left

-5x+6x=-55

Collect like terms

Solution
X= -55

Answer:

x = -55

Step-by-step explanation:

Given equation,

→ 5(2 - x) - 10 = 25 - 2(3x + 40)

Now the value of x will be,

→ 5(2 - x) - 10 = 25 - 2(3x + 40)

→ 10 - 5x - 10 = 25 - 6x - 80

→ -5x + 6x = 25 - 80

→ [ x = -55 ]

Hence, the value of x is -55.

5(2-x)-10=25-2(3x+40)

Remove the parentheses

10-5x-10=25-6x-80

Remove the opposites calculate

-5x=-55-6x

Move the variable to the left

-5x+6x=-55

Collect like terms

Solution
X= -55

Answer:

x = -55

Step-by-step explanation:

Given equation,

→ 5(2 - x) - 10 = 25 - 2(3x + 40)

Now the value of x will be,

→ 5(2 - x) - 10 = 25 - 2(3x + 40)

→ 10 - 5x - 10 = 25 - 6x - 80

→ -5x + 6x = 25 - 80

→ [ x = -55 ]

Hence, the value of x is -55.

Estimate √172 to the nearest tenth. Locate the irrational number on a number line.​

Answers

The irrational number on a number line is 13.1. All real numbers that are not rational are considered irrational numbers. In other words, it is impossible to describe an irrational number as the ratio of two integers.

What is  irrational number ?

All real numbers that are not rational numbers are referred to be irrational numbers in mathematics. In other words, it is impossible to describe an irrational number as the ratio of two integers.There is no length, no matter how short, that could be used to express the lengths of both of the two supplied segments as integer multiples of itself.

Square Root of 172 to the nearest tenth, means to calculate the square root of 172 where the answer should only have one number after the decimal point.

Calculate

We calculate the square root of 172 to be:

√172 = 13.11487704860400

Reduce

Reduce the tail of the answer above to two numbers after the decimal point: 13.11

Round

Round 13.11 so you only have one digit after the decimal point to get the answer: 13.1

To check that the answer is correct, use your calculator to confirm that 13.1² is about 172.

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Last night, Luis read 75% more pages than Dayja, and Dayja read 75% more pages than Michael. If Dayja read 84 pages, how many pages did Luis, Dayja, and Michael read all together?

Answers

Answer:

Total pages read = 279 pages

Step-by-step explanation:

Let L, D, and M stand for the pages read by Luis, Dayja, and Michael, respectively.

We learn that:

L = 1.75D,            [Luis read 75% more pages than Dayja]

D = 1.75M, and    [Dayja read 75% more pages than Michael]

D = 84                  [Dayja read 84 pages]

We want the sum of L, D, and M

Total pages = L + D + M

We have three equations and 3 unknowns.  We should be able to find a solution by rearranging and substituting.

Total pages = L + D + M

We can substitute L=1.7D and rearrange D = 1.75 M to M = D/1.75

Total pages = L + D + M

Total pages = 1.7D + D + D/1.75

Total pages = D(1.7 + 1 + 1/1.75)  [Isolate the D, for optional simplification]

Total pages = D(3.271)

We know D = 84, so:

Total pages = 84(3.271)

Total pages = 274.8

We'll round that to 275 pages.

Check:

L = 1.75D:  L read 1.75*275 or 147 pages

D read 84 pages

D = 1.75M, or M = D/1.75;  M read 84/1.75) or 48 pages

Total pages read = 147 + 84 + 48

Total pages read = 279 pages

Elias has a collection of 1,200 baseball trading cards. Of these cards, 35% are from the American League, 45% are from the National League, the rest are international players. How many trading cards are of international players?

Answers

Answer:

240 trading cards

Step-by-step explanation:

20% of 1200 = .2 × 1200 = 240

Determine the value for x in the equation x over 5 and 7 tenths equals 2 and 3 tenths.

Answers

The solution of x in the mathematical statement is 11.73

How to determine the value of x?

From the question, the mathematical statement is given as

x over 5 and 7 tenths equals 2 and 3 tenths.

When represented as an algebraic equation, we have

x/5.10 = 2.30

To start with, we multiply both sides of the equation by 5.10

This is represented as

5.10 * x/5.10 = 2.30 * 5.10

Evaluate the product on the left-hand side

So, we have

x = 2.30 * 5.10

Evaluate the product on the right-hand side

So, we have

x = 11.73

Hence, the value of x is 11.73

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The required simplified value of the given numeral is given as 13.11.

As given in the question, to determine the value for x in the equation x over 5 and 7 tenths equals 2 and 3 tenths.

What is the equation?

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

Here,
The statment given in the word string, first transform the equation in the mathematical inscription,
So,
x / 5.7 = 2.3
Simplifying,
x = 5.7 × 2.3
x = 13.11

Thus, the required simplified value of the given numeral is given as 13.11.

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What is the effect on the graph of f (x) = |x| when the function is changed to g(x) =-2|x|

Answers

Here the graph shows reflection across x - axis by 2 units.

f(x) = |x| => g(x) = -2|x|.

Solution:Graph transformation is the process of modifying an existing graph or graphed equation to produce a variation of the following graph.The modification of algebraic equations is a common type of problem in algebra.

Here given the parent function, f(x)=|x|

The translation is , g(x)= -2|x|

Which is an absolute function.

Here the transformation is .

f(x)=|x|  => g(x)= -2|x|

The value of f(x) is reflecting over x- axis and value of y changes by 2 units.

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What is the smallest and greatest number that rounds to 380 when
rounding to the nearest ten?

Answers

The smallest and greatest number that rounds to 380 when rounding to the nearest ten are 375 and 384 respectively.

What is rounding a number?

Adjusting a number's digits so that it produces an approximation of a result is known as rounding.

The given number is 380.

When rounding a number to the nearest ten, pay attention to the last digit; if it is less than five, round down; if it is five or more, round up.

Therefore, the smallest number that rounds to 380 when rounding to the nearest ten is 375.

Similarly, the greatest number that rounds to 380 when rounding to the nearest ten is 384.

Hence, the smallest and greatest number that rounds to 380 when rounding to the nearest ten are 375 and 384 respectively.

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HELP PSLSPSLAPSLSPSLSPSLSPSLSPSL

Answers

D) 40

If both lines match…

Every 60 minutes is an hour, so choose the number on the first line that corresponds to 60.

40 miles on the first line is on the same location as 60 on the second line

Answer: D) 40

Step-by-step explanation:

mph (miles per hour)

60 minutes is an hour, so the number of miles above 60 minutes (which is 40) is the answer.

Hope this helps!

Funds are distributed to five families affected by floods in the ratio 5:12:2:15:29. The total amount that the five families received was $630.
a) The first family received _____
b) The difference between the amount of money the first and last family received was _____
c) A sixth family joins. They receive n amount of money and the average amount of money donated to all six families becomes 140. How much money does the sixth family receive?

Answers

Step-by-step explanation:

We must first add up the ratios:5+12+2+15+29 = 63, this will be the total ratio the money was shared Then we pick out the ratio for each family accordingly:

For the first family, 5 out of the total ratio = 5/63

For the second family, 12 out of the total ratio = 12/63

For the third family, 2 out of the total ratio = 15/63

For the fifth family, 29 out of the total ratio = 29/63

a) The first family = 5/63 of the money, $630

we can therefore say the money they received is

= 5/63 ×630

= $50

b) The last family = fifth family = 29/63 of the money, 630

= 29/63 × 630

= $290

recall that the first family received $50 , the positive difference between the money received by both the first and last family

= $290 - $50

= $240

c) Since another family joins in, the total number of families become 6

the money the received is n

we can't find the average without knowing what the second, third, and fourth family received out of that money

we apply the same step

the second family = 12/63 ×630

= $120

the third family = 2/63 × 630

= $20

the fourth family = 15/63 × 630

= $150

Average generally is = total sum/ frequency or number of occurrences or people

in this case, we were told the average became $140

which means that

sum of money received by the families/ the number of families involved in the sharing = $140

( $50+$120+$20+$150+$290+n)/6 = $140

($630+n)/6= $140

now the plan would be to make n subject of formula

multiply both sides of the equation by 6, the equation will become

$630+n = $840

take $630 to the other side, it becomes -$630

n = $840-$630

n = $210

therefore the newly added family received $210

I honestly hope I explained it properly...thank you

what is the standard form of the equation for part a

Answers

Answer:

yea, correct, perfect yes sir

A one way train ticket in the city cost 1.85 a monthly pass cost 65$. For what number of rides should you buy the monthly pass?

Answers

Answer: 36 rides

Step-by-step explanation: Because is you divide 65 by 1.85 you get 35.13513513513514 so just round it to the next integer of 36.

I will give brainlist ! very fast.. Hello its a math question is the last option the correct answer i am not sure please help

Answers

Hello!

Let's take this step-by-step:

The formula for the Area of the Triangle:

  [tex]Area = \dfrac{1}{2} *\text{Base} *\text{Height}[/tex]

In this case:

Height: x + 3Base: 2x + 4

Let's plug in those value's into the equation:

    [tex]\text{Area}=\dfrac{1}{2} *(2x +4)*(x+3)\\\\\\\text{Let's first multiple '2x + 4' and 'x+3'}\\\text{Area}=\dfrac{1}{2} *(2x^2+6x + 4x + 12)=\dfrac{1}{2} *(2x^2+10x + 12)\\\\\\\\\\\textNow multiple 1/2 in the function in the parentheses}\\\text{Area}=\dfrac{1}{2} *2x^2 + \dfrac{1}{2}*10x +\dfrac{1}{2} *12\\\\\text{Area}=x^2+5x + 6[/tex]

Answer: [tex]x^2 + 5x +6[/tex]

Hope that helps!

solve and show working:- log(x^2 + 7) base 4 = 2​

Answers

The value of x for the given logarithm equation  log(x^2 + 7) base 4 = 2​ is x = ± 3.

What is a logarithm?

The exponent indicates the power to which a base number is raised to produce a given number called a logarithm.

In another word, a logarithm is a different way to denote any number.

It is known that [tex]log_{a}b[/tex] = c can be written as [tex]a^{c}[/tex] = b.

Given that, log(x^2 + 7) base 4 = 2​

Therefore, x² + 7 = 4²

x² + 7 = 16

x² = 16 - 7 = 9

x² = 9

x = ±3

Hence "The value of x for the given logarithm equation  log(x^2 + 7) base 4 = 2​ is x = ± 3".

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The foot of a ladder is 1.5 m from a vertical wall. The ladder makes an angle of 68° with the horizontal. How far up the wall does the ladder reach? Draw a picture and show work!

Answers

The length of the wall for the ladder reach will be 3.4 meter.

What is mean by Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The foot of a ladder is 1.5 m from a vertical wall.

And, The ladder makes an angle of 68° with the horizontal.

Now,

By the figure,

The length of BC = 1.5 m

The measure of ∠ACB = 68°

So, Find the length of AC as;

cos 68° = 1.5 / AC

AC = 1.5 / 0.44

AC = 3.4 m

Therefore,

The length of the wall for the ladder reach will be 3.4 meter.

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f (x)=(x-3)^2 + 4 when is f increasing

Answers

Answer:

(3,∞)

Explanation:

Given the function:

[tex]f(x)=\mleft(x-3\mright)^2+4[/tex]

The graph of f(x) is attached below:

The interval when f(x) is increasing is therefore: (3,∞)

A bouncy ball is dropped such that the height of its first bounce is 3.75 feet and each successive bounce is 79% of the previous bounce's height. What would be the height of the 7th bounce of the ball? Round to the nearest tenth (if necessary).

Answers

The ball would bounce to a height of 0.92 feet at the 7th bounce

How to determine the height of the 7th bounce of the ball

The given parameters are

Initial height = 3.75 feet

Rate of bounce = 79%

The height of the ball after n-th bounce is represented as

H(n) = A * rⁿ⁻¹

Where

A = Initial height = 3.75 feetr = Rate of bounce = 79%n = Number of bounce

In this case, we have

n = 7

So, we have

H(7) = 3.75 * (79%)⁷⁻¹

Evaluate the difference

H(7) = 3.75 * (79%)⁶

Evaluate the product

H(7) = 0.92

Hence, the height of the 7th bounce of the ball is 0.92 feet

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a force of 4 pounds is required to hold a spring stretched 0.2 feet beyond its natural length. how much work (in foot-pounds) is done in stretching the spring from its natural length to 1.1 feet beyond its natural length?

Answers

Using the spring's force we know that 48.4 lb-ft work is done in stretching the spring from its natural length to 1.1 feet beyond its natural length.

What does a spring's force mean?When a spring is in its equilibrium position, it applies a force F = -kx in that direction. A spring's force works as a restoring force, bringing the spring back to its equilibrium length.

So, F is the 4 lb force required to maintain the spring's stretched position.

The spring has a 0.2-foot stretch, and its spring constant is k.Applying the equation F = k x 4 = k (0.2) k = 80 lb/ft.U is the effort put in to expand the spring, where x' is equal to 1.1 feet.

The labor of extending a spring is denoted by the formula:

U = (0.5) k x'2

So, calculate:

U = (0.5). (80). (1.1)² U = 48.4 lb-ft

Therefore, 48.4 lb-ft work is done in stretching the spring from its natural length to 1.1 feet beyond its natural length.

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Help please !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! hellp please ????????????? the simplest design for a radio/microwave transmitter antenna is a vertical conducting rod about one quarter-wavelength long. a mobile-phone manufacturer wants to build such an antenna into a gsm-900 (900 mhz) phone. how small can the phone be? which is the solution of 3(t + 1) = 6 - 13.5?A 55 "ABC~DEF. The area of ABC is given. Find the area of DEF. Do not lable the final answer." Which of the following would lead to the accumulation ground water? A. precipitationB. sublimationC.infiltration D. Non of the above a 80.0 kg ice hockey player hits a 0.150 kg puck, giving the puck a velocity of 47.0 m/s. if both are initially at rest and if the ice is frictionless, how far (in m) does the player recoil in the time it takes the puck to reach the goal 18.0 m away? Hi I just need Part A. Im in high school calculus 1 and this is a homework. thank you ! Just answer what the ss says demonstrating the pervasiveness of overconfidence, despite strong evidence to active management under-performance, indexing accounts for what percentage of the overall equity held in the mutual fund industry? The diameter of the pool is 5 feet. What is the circumference of the pool? Given the parametric equations x = 7cos and y = 5sin , which of the following represents the curve and its orientation? what is the general importance of water? 1.00 mol each of CO and Cl are introduce into an evacuated 1.75 L flask. At equilibrium (668 K), the total pressure of the gaseous mixture is 32.4 atm. Calculate Kp at this temperature. CO(g) + Cl(g) > COCI(g) 4x squared- 5x +4-(9x squared +3x -1) which of the following does not occur due to the effects of aging on the joints? select one: a. decreased range of motion b. decreased flexibility and elasticity c. increased production of synovial fluid d. weakening of muscles e. decreased tissue repair Writing about Finding a Percen Explain how to find 27% of 16 using multiplication by a decimal. Then explain how to use estimation to check your answer. Select the correct answer.Which of the following represents a function?B. {(0,1), (3,2), (-8,3), (-7,2), (3,4)}C. x -5 -1 9 8 -1 y 1 7 23 17 1 casey deesel is a sports agent negotiating a contract for titus johnston, an athlete in the national football league (nfl). an important aspect of any nfl contract is the amount of guaranteed money over the life of the contract. casey has gathered data on 506 nfl athletes who have recently signed new contracts. each observation (nfl athlete) includes values for percentage of his team's plays that the athlete is on the field (snappercent), the number of awards an athlete has received recognizing on-field performance (awards), the number of games the athlete has missed due to injury (gamesmissed), and millions of dollars of guaranteed money in the athlete's most recent contract (money, dependent variable). casey has trained a full regression tree on 304 observations and then used the validation set to prune the tree to obtain a best-pruned tree. the best-pruned tree (as applied to the 202 observations in the validation set) is: which legislation required anyone importing, manufacturing, selling, or dispensing cocaine to register with the treasury department and pay a special tax?