MATHEMATICS COLLEGE

Please help asap!!!Factor 5y + 5w.

A) 5y(5 + w)
B) (5y + 5)w
C) y(5 + 5w)
D) (y + w)5

Answers

Answer 1

Answer:

5y + 5w

factor out a 5

5(y+w)

Choice D

the 5 can go on either end of (y+w)

Answer 2

Answer: D I think because you have to multiply 5 with both y and w.

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your softball team has 8, 10, 9, and 3 hits during four games. Write and solve an equation to find how many hits the team needs in the fifth game to have a total of 40 hits
Which statement is true? Step by step.
Alvin is 5 years younger than Elga. The sum of their ages is 75. What is Elga's age?
Which fraction is equivalent to 0.36

6. (02.01 MC)The US Department of Health and Human Services wants to know whether the national healthcare system is achieving its goals in Florida. Much information about healthcare comes from

patient records, but that source doesn't allow us to compare people who use health services with those who don't. Therefore, the US Department of Health and Human Services conducted the

Florida Health Survey, which was used to interview a random sample of 62,348 people who live in the state of Florida.

Part A: What is the population for this sample survey? What is the sample? (4 points)

Part B: The survey found that 74% of males and 83% of females in the sample had visited a general practitioner at least once during the past year. Do you think these estimates are close to

the truth about the entire population? Explain. (6 points) (10 points)

Answers

Answer:

A)i) Population: Total number of people that reside in Florida..

II) Sample: 62348 people that took part in the random survey.

B) No, the estimates are not close to the truth of the entire population.

Step-by-step explanation:

A)i) The population is the total number of people that reside in Florida.

II) The sample is the 62348 people that took part in the random survey.

B) From the details given in the question, we will see that people who are not part of the healthcare system weren't included due to the fact that they used patients records to judge. This means that if they don't have healthcare, then they will have no patient records. Therefore, we can conclude that the estimates are not close to the truth of the entire population due to the fact that that those who weren't part of the Healthcare system were not considered.

Find the Derivative.
f(x) = -xcos3x

Answers

Answer:

$(d)/(dx)(-xcos3x)= 3x \ sin(3x)- cos(3x)$

Step-by-step explanation:

Use the Product Rule for derivatives, which states that:

$(d)/(dx) =[f(x)g(x)]= f(x)g'(x)+f'(x)g(x)$

In the function we are given, $f(x)=-x \cos3x$ , we can break it up into two factors: -x is being multiplied by cos3x.

Now, we have the factors:

$-x \n $cos 3x$

Before using the product rule, let's find the derivative of cos3x using the chain rule and the power rule.

$(d)/(dx)(cos3x)= (d)/(dx) (cos3x) * (d)/(dx) (3x) \n (d)/(dx)(cos3x)= (-sin3x) * 3 \n (d)/(dx) (cos3x) = -3sin(3x)$

Now let's apply the product rule to f(x) = -xcos3x.

$(d)/(dx)(-xcos3x)= (-x)(-3sin3x) + (-1)(cos3x)$

Simplify this equation.

$(d)/(dx)(-xcos3x)= (x)(3sin3x) - (cos3x)$

Multiply x and 3 together and remove the parentheses.

$(d)/(dx)(-xcos3x)= 3x \ sin(3x)- cos(3x)$

Therefore, this is the derivative of the function $f(x)=-xcos3x$ .

Hi there!

$\large\boxed{f'(x) = -cos3x + 3xsin3x}$

$f(x) = -xcox3x\n\n\text{Use the product rule and chain rule to solve for the derivative:}\n\n(dy)/(dx)= -cos3x + (-x * (-sin3x) * 3)\n\n= -cos3x + 3xsin3x$

Could someone please help?

Find the perimeter of each figure.

Answers

Answer:

3.6

Step-by-step explanation:

stupid idiot you add them up together go back to 4th grade

Triangle UVW is drawn with vertices at U(−1, 1), V(0, −4), W(−4, −1). Determine the coordinates of the vertices for the image, triangle U′V′W′, if the preimage is rotated 180° counterclockwise.U′(1, −1), V′(0, 4), W′(4, 1)
U′(−1, −1), V′(4, 0), W′(1, 4)
U′(−1, 1), V′(4, 0), W′(1, −4)
U′(−1, 1), V′(0, −4), W′(−4, −1)

Answers

Answer:

(a) U′(1, −1), V′(0, 4), W′(4, 1)

Step-by-step explanation:

You want the coordinates of the image when ∆UVW is rotated 180° CCW.

Rotation 180°

Rotation 180° (either direction) is the same as reflection across the origin. It has the effect of reversing the sign of every coordinate:

(x, y) ⇒ (-x, -y) . . . . . rotation 180°

The image coordinates are ...

U(-1, 1) ⇒ U'(1, -1) . . . . . . matches choice A

V(0, -4) ⇒ V'(0, 4)

W(-4, -1) ⇒ W'(4, 1)

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Complete the following proof

Answers

Answer:

Step-by-step explanation:

statment/reason

1) HK≅JK / given (S)

2) IK bisects ∠HKJ / given

3) ∠3≅∠4 / angle bisectors form congruent angles (A)

4) HK≅JK / given

5) IK ≅IK / reflexive propriety (S)

6) ΔIHK≅ΔIJK / SAS theorem of congruency

7) ∠1≅∠2 / corsponding parts of congruent Δs are ≅

8) IK bisects ∠HIJ / angle bisectors form congruent angles

A lawnmower designer wants to build a lawnmower that measures 3 feet in height, 2 feet in width, and 5 feet in length. She needs to construct a three-dimensional scale model of the lawnmower first. Which measurements are appropriate for the scale model?

Answers

Answer: C. 6 inches high, 4 inches wide, and 10 inches long

Step-by-step explanation:

A scale model will have to use a scale factor that ensures that the actual measurements can be accurately converted to the scale model measurements in an equivalent manner.

This means that the real measurements need to be uniform when converted by the scale factor to the scale model. In other words, in this scenario for instance, when the scale measurements are divided by the real measurements, they should give the same scale factor.

Option C is correct because all the measurements give the same scale factor when divided as opposed to the rest.

Height = Scale/ Real = 6/3 = 2

Width = 4/2 = 2

Length = 10/5 = 2

They all use the scale factor of 1 feet: 2 inches so option C is correct.

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