**Answer:**

The information that was collected by each of the four methods is;

**The participant's favorite coach of the Dallas Cowboys.**

**Step-by-step explanation:**

For each of the four methods listed, the question that stood out was the **favorite coach of the Dallas Cowboys** among the participants in the study.

**Questionnaire**: one of the questions was,** who is your favorite coach** of the Dallas cowboys?

**Interview**: I asked him** which coach was his favorite**

**Observation: ** I knew he was kidding because** he had a smirk on his face. **This observation showed that **Barry Switzer was not really his favorite coach.**

**Historical data: **I asked him which coach was his favorite and he said, **"Barry Switzer because he was the last one to win a championship." **This historical data shows that **the reason why Barry Switzer was chosen as the researcher's favorite coach was that he was the last to win a championship.**

I need help with this

**Answer:**

ok I did this construction about a year ago but I think I can remember something so if it's not correct I hope you won't be mad with me ok so the first step draw a straight line measure the length then make an AC on both sides then stand on one side make an arc upstand on the other side make an arc upthen stand on one AC and make another ARK on top of the other one then stand on the other AC and make another ark on top of the other one then join the lines yeah I think that's the procedure

Shana, who lives in Canada, and Pearl, who lives in Pennsylvania, were discussing the weather. Shana complained about the cold temperature of Negative 20 degrees Celsius. Pearl, who lives in Pennsylvania, mentioned that her temperature was the opposite of Shana's. Which is the correct way to represent "the opposite of Shana's temperature is equal to Pearl's"? Negative 20 = 20 Negative (negative 20) = negative 20 Negative (20) = negative 20 Negative (negative 20) = 20

**Answer:**

**Step-by-step explanation:**

Given Shana temperature = -20°C

°If Pearls temperature is opposite that of Shana's then Pearls temparature = -(-20) = 20°C

Hence the correct way to represent "the opposite of Shana's temperature is equal to Pearl's

Opposite of shana = -(-20°C)

Pearls temperature = +20°C

**Since Opposite of shana = Pearls temperature, hence -(-20°C) = 20°C**

Answer:

-(-20 = 20

Step-by-step explanation:

The "opposite" here means we take the negative of -20 C.

So we can write -(-20 which is equal to 20.

So the first option is correct, -(-20 = 20.

hope this helps:)

help meeeeeeeeeeeeeeee

**Answer:**

A

**Step-by-step explanation:**

Answer: A

Explanation:

Explanation:

What are the values of x and y?

image attached. Thank you!

**Answer:**

C

**Step-by-step explanation:**

We'll have to use trigonometry for this.

First, note that in right triangle ABC, if we look from the perspective of angle A, the opposite side is x, the adjacent side is y, and the hypotenuse is 18.

In order to find x, then, we must use sine, which is opposite/hypotenuse. So:

sin(A) = sin(60) = opposite/hypotenuse = x/18

sin(60) is equal to (√3)/2, so multiplying both sides by 18 gives:

[(√3)/2] * 18 = 9√3

Already, we can tell that the answer is likely C, but let's find y to make sure.

We will use cosine to find y because cos = adjacent/hypotenuse.

cos(A) = cos(60) = adjacent/hypotenuse = y/18

cos(60) = 0.5, so multiplying both sides by 18 gives:

0.5 * 18 = 9

So, y = 9.

Thus, C is our answer.

*~ an aesthetics lover*

**Answer:**

C

**Step-by-step explanation:**

Using the cosine/ sine ratio in the right triangle and the exact values

cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] and sin30° = [tex]\frac{1}{2}[/tex] , then

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{x}{18}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2x = 18[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

x = 9[tex]\sqrt{3}[/tex]

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

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{y}{18}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2y = 18 ( divide both sides by 2 )

y = 9

Thus

x = 9[tex]\sqrt{3}[/tex] and y = 9 → C

the mass of the moon

**Answer:**

The answer is 10^24kg. 0.07346.

find the coordinates of the midpoint of a segment with the given endpoints 3.)P(-12 -9) Q(2,10) help plz

**Answer: **

(-5, 0.5)

**Step-by-step explanation:**

-12+2/2= -5

-9+10/2= 0.5

**(-5, 0.5)**

Diana is buying plates and cups for a party. She wants the same number of each. Plates are sold in packs of eight and cups are sold in packs of 12. What is the least number of plates and cups she can buy? How many packs of plates? How many packs of cups? Explain how you know.

Answer:

The least number of plates and cups she can buy is 24

She will buy 3 packs of plates

She will buy 2 packs of cup

Step-by-step explanation:

Plates = 8 per pack

Cups = 12 per pack

Find the Lowest common multiple of 8 and 12

8 = 16, 24, 32, 40, 48, 56, 64, 72, 80

12 = 24, 36, 48, 60, 72

What is the least number of plates and cups she can buy?

The Lowest common multiple of 8 and 12 is 24

The least number of plates and cups she can buy is 24

How many packs of plates?

Packs of plates = 24 plates / 8 per pack

= 3 packs

She will buy 3 packs of plates

How many packs of cups?

Packs of cups = 24 / 12 per pack

= 2 packs

She will buy 2 packs of cup

Help plz and thanks

**Answer:**

8

**Step-by-step explanation:**

4x4=16x8=128

HELPPPPpPPPZZZ PLZZZZ I NEED HELLPP

**Answer:**

The triangles are lined up with their correct pairs already.

**Step-by-step explanation:**

The leg that is the base is always seen as the bottom, and the leg to the side of it that makes the right angle will always be the height. Though if the base is at the hypotenuse as it is seen in the last photo, the height will be from the point of which the two legs of the triangle meet down to the hypotenuse.

(-10) + -7)

find each sum?

**Answer:**

-10 + (-7)= -17

**Step-by-step explanation:**

**Answer:**

-17

**Step-by-step explanation:**

-10 plus -7 is -17

Need all these questions answer plz

**Step-by-step explanation:**

1 result(s) found

x

2

−x−3

Step by Step Solution:

More Icon

STEP

1

:

Equation at the end of step 1

STEP

2

:

x3 + 3x2 - 7x - 12

Simplify ——————————————————

x + 4

Checking for a perfect cube :

2.1 x3 + 3x2 - 7x - 12 is not a perfect cube

Trying to factor by pulling out :

2.2 Factoring: x3 + 3x2 - 7x - 12

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: -7x - 12

Group 2: x3 + 3x2

Pull out from each group separately :

Group 1: (7x + 12) • (-1)

Group 2: (x + 3) • (x2)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

2.3 Find roots (zeroes) of : F(x) = x3 + 3x2 - 7x - 12

Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient

In this case, the Leading Coefficient is 1 and the Trailing Constant is -12.

The factor(s) are:

of the Leading Coefficient : 1

of the Trailing Constant : 1 ,2 ,3 ,4 ,6 ,12

Let us test ....

P Q P/Q F(P/Q) Divisor

-1 1 -1.00 -3.00

-2 1 -2.00 6.00

-3 1 -3.00 9.00

-4 1 -4.00 0.00 x + 4

-6 1 -6.00 -78.00

-12 1 -12.00 -1224.00

1 1 1.00 -15.00

2 1 2.00 -6.00

3 1 3.00 21.00

4 1 4.00 72.00

6 1 6.00 270.00

12 1 12.00 2064.00

The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms

In our case this means that

x3 + 3x2 - 7x - 12

can be divided with x + 4

Polynomial Long Division :

2.4 Polynomial Long Division

Dividing : x3 + 3x2 - 7x - 12

("Dividend")

By : x + 4 ("Divisor")

dividend x3 + 3x2 - 7x - 12

- divisor * x2 x3 + 4x2

remainder - x2 - 7x - 12

- divisor * -x1 - x2 - 4x

remainder - 3x - 12

- divisor * -3x0 - 3x - 12

remainder 0

Quotient : x2-x-3 Remainder: 0

Trying to factor by splitting the middle term

2.5 Factoring x2-x-3

The first term is, x2 its coefficient is 1 .

The middle term is, -x its coefficient is -1 .

The last term, "the constant", is -3

Step-1 : Multiply the coefficient of the first term by the constant 1 • -3 = -3

Step-2 : Find two factors of -3 whose sum equals the coefficient of the middle term, which is -1 .

-3 + 1 = -2

-1 + 3 = 2

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Canceling Out :

2.6 Cancel out (x+4) which appears on both sides of the fraction line.

Final result :

x2 - x - 3

Terms and topics

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Polynomial root calculator

Polynomial long division

Related links

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Root Finder -- Polynomials Calculator

How to factor five term polynomial - Yahoo Answers

Long Polynomial Division

Polynomial long division - Wikipedia

Polynomial Long Division

Polynomials - Long Division

WILL MARK BRAINLIEST

What is the range of the function f(x)=1/3x+1, when the domain is {-1,1,4}

a {0, 2, 4}

b {-1, 1, 3}

c {2/3, 4/3, 2}

d {-2/3, 5/3, 4}

**Answer:**

D.

**Step-by-step explanation:**

**SORRY IF THIS IS WRONG IM NOT GOOD IN MATH BUT I TRY**

a body of mass 10kg acted upon by a force of 40N for 0.5secs. Find the:(i)impulse on the body. (ii)final speed of the body. (iii)distance covered within the time interval.

**Step-by-step explanation:**

20n 20394848484848575

The **impulse **on the body is 20 kg-m/s, the final **speed **of the body is 2m/s, and the **distance **covered within the** time interval** is 0.5m.

**Force **is the strength applied on an object with mass to change its state of motion.

The **mass **of the body is 10kg.

The **force **applied on the object is 40N.

The **time **for which the **force **is applied is 0.5 sec.

The **impulse **on the **body **is calculated by,

Impulse = Force * Time

**Impulse **= 40 * 0.5

**Impulse **= 20 kg-m/s

The** final speed **of the body is given by

v = u + at

Assuming the **initial speed** = 0

v = at

**Acceleration **= Force / mass

**Acceleration **= 40/10

a = 4 m/s²

v = 4 * 0.5

v = 2 m/s

The **distance** covered within the **time interval **is given by,

s = ut + (1/2) at²

s = (1/2) at²

s = (1/2) 4 * 0.5 *0.5

s = 0.5 m

To know more about** Force**

https://brainly.com/question/13191643

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Suppose at age 22 mort starts investing 200$ at the end of each month into a savings plan with an apr of 2.9% and he continues to do so through the next 43 years ( planning to retire at age 65). How much will be in his savigns plan towards retirement? How much of his balance was from the interested loans

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Monthly Payment (PMT) = 200 at the end of each period

interest rate = 2.9% = 0.029/12 = 0.0024166

Period (n) = 43 years x 12 = 516

Using the future value(FV) of an ordinary annuity:

FV = PMT[(1 + r)^n - 1] / r

FV = 200[(1 + 0.0024166)^516 - 1] / 0.0024166

FV = 200[(1.0024166)^516 - 1] / 0.0024166

FV = 200(2.4745372) / 0.0024166

FV = 204,794.93

Amount which will be in saving plan towards retirement = $204,794.93

Interest amount :

$204,794.93 - total monthly deposits

$204,794.93 - (200 * 516)

$204,794.93 - $103,200

= $101,594.93

0 -x + y = 1

9x – 7y = 1

**Answer:**

X = 4 and Y = 5

**Step-by-step explanation:**

The area of a square garden is 9ft. How long is each side of the garden

The **length** of each side of the square garden is 3ft.

A **square** is a quadrilateral with four equal straight sides and four right angles.

To find the **area** of a square garden, multiply two equal sides.

The **area** is the space of a two-dimensional line.

To find the **length** of each side of a square garden, compute the **squared root** of the **area**.

**Area** of the square garden = 9 ft

Length of each side = √9

= 3 feet

Thus, each side of the garden has 3 ft.

Learn more about **the area, length, and width** at https://brainly.com/question/25292087

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PLEASE PLEASE HELP 5 MINUTES HELPP HELPP WILL MARK BRAINLIEST!!!!!

**Answer:**

**Step-by-step explanation:**

I & III look good

Which of the following is an example of the atmosphere interacting with the biosphere?

I’d say option 4

However, one may think option 3 might be possible as well. But that it is not interacting, it’s affecting.

So I’d stick with option 4.

Good luck!

Find the slope of the line

(1,-5),(-4,0)

Slope formula =

Y^2-Y^1/X^2-X^1

0-(-5)/-4-1

5/-5

-1

Y^2-Y^1/X^2-X^1

0-(-5)/-4-1

5/-5

-1

**Answer:**

-1

**Step-by-step explanation:**

slope = ΔY / ΔX = 5/(-5)=-1

Which expression is equivalent to 5 (h + 9)?

**Answer:**

5(m+9) = 5m+25

**Answer:**

5(m+9) = 5m+25

**Step-by-step explanation:**

durrrrrrrrrrrrrrr

Two integers have a difference of 18 and a sum of 2. What is the product of the two integers?

**Answer:**

the product of the two integers is -80

**Answer:**

-80

**Explanation:**

it was on a mathcounts competition

Which student rounded properly?

**Answer:**

c is the answer

**Step-by-step explanation:**

The sum of triple a number d and 5

(it’s translating expressions)

**Answer:**

3d+5

**Step-by-step explanation:**

Barnes and noble needs to ship 14 mystery books, 12 science-fiction books, and 8 historical-fiction books. The store can only pack one genre of book in each box, and they must pack the same number of books in each box. What is the greatest number of books Barnes and Noble can pack in each box?

**Answer: ** 2

**Step-by-step explanation:**

Given: 14 mystery books, 12 science-fiction books, and 8 historical-fiction books needs to b shipped.

If they want to pack one genre of book in each box such that they pack same number of books in each box.

**Then, the greatest number of books Barnes and Noble can pack in each box**

**= GCD(14,12,8)**

Since, 14 = 2 x 7

12 = 2 x 2 x 3

8 = 2 x 2 x 2

GCD(14,12,8)=2

**Hence, the greatest number of books Barnes and Noble can pack in each box = 2**

Line AB is 14 inches long. What is the approximate area of the circle?

615.44 inches

21.98 inches

153.86 inches

43.96 inches

**Answer:**

The third one is closest

**Step-by-step explanation:**

half of the diameter=the radius 14/2 = 7 and the formula for the area of a circle is r^2π so 49 × π is 153.93804

Marcia has a monthly income of $3,500. She budgets 8% for her cell phone. What amount does she budget for her cell phone, in dollars and cents?

**Answer:**

[tex]280 \: dollars[/tex]

**Step-by-step explanation:**

[tex]3500 \times .08 = 280[/tex]

Simple as that ^^^ Just find 8% of 3500

280,00$

8% of 3500$ equals to

(8/100)*3500=

280,00$=

Based on a graph below which sequence of transformation is needed to carry ABCD onto its image A’B’C’D?

**Given:**

The vertices of ABCD are A(2,3), B(5,6), C(8,6) and D(8,3).

The vertices of A'B'C'D' are A'(-2,6), B'(-5,3), C'(-8,3) and D'(-8,6).

**To find:**

The sequence of transformation is needed to carry ABCD onto its image A’B’C’D.

**Solution:**

The vertices of ABCD are A(2,3), B(5,6), C(8,6) and D(8,3).

If figure ABCD translated by the rule, [tex](x,y)\to (x,y-9)[/tex], then

[tex]A(2,3)\to A_1(2,-6)[/tex]

[tex]B(5,6)\to B_1(5,-3)[/tex]

[tex]C(8,6)\to C_1(8,-3)[/tex]

[tex]D(8,3)\to D_1(8,-6)[/tex]

Then the figure rotated 180 degrees clockwise about the origin. So,

[tex](x,y)\to (-x,-y)[/tex]

[tex]A_1(2,-6)\to A'(-2,6)[/tex]

[tex]B_1(5,-3)\to B'(-5,3)[/tex]

[tex]C_1(8,-3)\to C'(-8,3)[/tex]

[tex]D_1(8,-6)\to D'(-8,6)[/tex]

So, the required sequence of transformation that is needed to carry ABCD onto its image A’B’C’D is " A translation by the rule [tex](x,y)\to (x,y-9)[/tex] and then a 180° clockwise rotation about the origin".

**Therefore, the correct option is D.**

John is trying to solve for y, but he made a mistake. Where did John mess up? What did he do wrong? Step 1: 2 - 3(y- 1) = 6 Step 2: -1(y- 1) = 6 Step 3: -y+1= 6 Step 4: -y = 5 Step 5: y = -5 Step 2; he combined the 2 and -3 before he distributed O Step 3; he did not distribute the -1 correctly Step 2; he did not combine the 2 & -3 correctly. Step 4; he should have added the 1 to 6, not subtracted it Step 3; he should have added 1 to both sides.

**Answer:**

Step 4!!!

**Step-by-step explanation:**

someone help with this ASAP I HAVE FEW MINS !!!

**Answer:**

Symmetric

**Step-by-step explanation:**

Consider the equation and its solution. 8 (x minus 2) = 64. 8 x minus 16 = 64. 8 x = 80. X = 10. Which property is used in the last step to find that x = 10? Distributive property addition property of equality subtraction property of equality division property of equality

Answer:

Division property of equality

Step-by-step explanation:

Consider the equation and its solution. 8 (x minus 2) = 64.

8 x minus 16 = 64.

8 x = 80.

x = 10.

Which property is used in the last step to find that x = 10

The property used in the last step to find that x = 10 is called the DIVISION PROPERTY OF EQUALITY

The Division property of equality states that , when two sides of a quadratic equation are divide by the same integer that is greater than zero, both sides will be equal to one another

Let c be the integer greater than zero

ac = bc

Divide both sides by c

a = b

From the above question

8 x = 80

This is also written as:

8x = 8 × 10

Division property of equality

Divide both sides by 8

Hence,

x = 10

**Answer:**

division property of equality

**Step-by-step explanation:**

since the equation before our answer was a multiplication equation, you must counteract that with the division property of equality.

HELP PLEASE BTW ITS NOT C I JUST PUT ANY ANSWER
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Which means of particle transport is shown in Figure 74 below?The figure shows the inside of a cell, the cell membrane, and the outside of the cell. Inside the cell, 15 spheres are labeled high concentration. Outside the cell, three spheres are labeled low concentration. A sphere enters a figure labeled transport protein that spans the cell membrane. An arrow shows that the sphere is moving from outside of the cell into the cell. A lightning bolt-shaped arrow is labeled energy and points to the transport protein. A shaded hemisphere is shown at the top of the illustration titled 'Inside of Cell.' In the hemisphere are sixteen small spheres labeled 'High Concentration.' At the bottom of the illustration is the label 'Outside of Cell' on the unshaded part of the image. There are three small spheres labeled 'Low Concentration' in this area. A curvy horseshoe looking shape labeled 'Transport Protein' is shown entering the inside of the cell and has an upward arrow labeled on it. A small sphere is at the bottom of the curvy horseshoe shape with a jagged arrow next to it labeled 'Energy.' A. diffusion B. osmosis C. facilitated diffusion D. active transport
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