Please help me. Test tomorrow

Answers

Answer 1

Answer:

Step-by-step explanation:

Hope I made them right cause I dont know what grade are you and dont know other lessons before this exercise!Hope I am right! :)

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Which of the following describes the roots of the polynomial function f (x) = (x + 2) squared (x minus 4) (x + 1) cubed?–2 with multiplicity 2, 4 with multiplicity 1, and –1 with multiplicity 3
–2 with multiplicity 3, 4 with multiplicity 2, and –1 with multiplicity 4
2 with multiplicity 2, –4 with multiplicity 1, and 1 with multiplicity 3
2 with multiplicity 3, –4 with multiplicity 2, and 1 with multiplicity 4

Answers

The roots and their respective multiplicity are –2 with multiplicity 2, 4 with multiplicity 1, and –1 with multiplicity 3 thus option (A) is correct.

What are the roots of an equation?

The roots of an equation are the solution of that equation, since an equation consists of hidden values of the variable so to determine them by different processes and then the resultant is called roots.

For example root of x -4 = 0 is x = 4 so 4 will be the only root of this linear equation.

As per the given function,

f(x) = (x + 2)²(x - 4)(x + 1)³

The roots are the points at which the value of the function is zero.

f(x) = 0

(x + 2)²(x - 4)(x + 1)³ = 0

(x + 2)² = 0

x = -2 (with a multiplicity of 2)

(x - 4) = 0

x = 4 (with a multiplicity of 1)

(x + 1)³ = 0

x = -1 (with a multiplicity of 3)

Hence "The roots and their respective multiplicity are –2 with multiplicity 2, 4 with multiplicity 1, and –1 with multiplicity 3 thus option (A) is correct".

To learn more about the roots of equations,

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Answer:

Step-by-step explanation:

$f(x) = (x + 2)^2(x-4)(x + 1)^3$

x+2=0

x+2-2=0-2

x=-2.....(x+2) was squared...exponent of 2...multiplicity of 2

x-4=0

x-4+4=0+4

x=4....(x-4) has no visible exponent which means it is essentially to the power of 1...multiplicity of 1

x+1=0

x+1-1=0-1

x=-1....(x+1) was cubed...exponent was 3...multiplicity of 3

What is the circumference of earth's equator?

Answers

Answer:

40,075 kilometers

Step-by-step explanation:

The distance around the Earth at the Equator, its circumference, is 40,075 kilometers

There are four shelves of books along a wall in the library. On the top shelf, 16 of the 126 books are checked out. On the second shelf, 8 of the 137 books are checked out. On the bottom shelf, 17 of the 138 books are checked out. How many books are currently on the four shelves?

Answers

1st shelf = 126 - 16 = 110

2nd shelf = 137 - 8 = 129

3rd shelf = Doesn't say

Last shelf = 138 - 17 = 121

Add:

121 + 129 + 110 = 360

I think the answer is 360 but since it doesn't mention anything about the 3rd shelf, I'm not sure.

Hope this helped☺☺

there are currently 360 books on all the shelves

Listed are 32 ages for Academy Award winning best actors in order from smallest to largest. (Round your answers to the nearest whole number.) 18; 18; 21; 22; 25; 26; 27; 29; 30; 31; 31; 33; 36; 37; 37; 41; 42; 47; 52; 55; 57; 58; 62; 64; 67; 69; 71; 72; 73; 74; 76; 77

(a) Find the percentile of 37. th percentile
(b) Find the percentile of 72. th percentile

Answers

Answer:

a) 37th percentile: 33 years

b) 72nd percentile: 62 years

Step-by-step explanation:

The kth percentile divides the data into two: on the one hand the lowest k% of the data, and on the other the (1-k)% higher of the data.

For the list provided, the 37th percentile falls to the age of 33. This means that 37% of the data are for ages under 33 years.

The 72nd percentile falls at the age of 62 (72% of the ages fall below 62 years).

AGE PERCENTILE

18 6%

21 9%

22 13%

25 16%

26 19%

27 22%

29 25%

30 28%

31 34%

33 38%

36 41%

37 47%

41 50%

42 53%

47 56%

52 59%

55 63%

57 66%

58 69%

62 72%

64 75%

67 78%

69 81%

71 84%

72 88%

73 91%

74 94%

76 97%

77 100%

Final answer:

The percentile rank of 37 among Academy Award-winning best actors is the 45th percentile, and the percentile rank of 72 is the 87th percentile. These are determined by their positions in the ordered list and the total number of ages listed.

Explanation:

Finding the Percentiles of Ages for Academy Award-winning Best Actors

To find the percentile for a given age in a sorted list, use the formula:

Percentile Rank = (Number of values below your score + 0.5) / Total number of scores x 100

a. To find the percentile of 37 from the list of ages, we must first locate 37 within the ordered list. There are two values of 37, so we use the position of the second 37 for our calculation since it is the last occurrence of that value. This position is 15th in the list. Using the percentile rank formula, we calculate:

Percentile Rank of 37 = (14 + 0.5) / 32 x 100 = 45th percentile (rounded to the nearest whole number).

b. To find the percentile of 72, we find the position of 72, which is 28th in the list. Using the same formula:

Percentile Rank of 72 = (27 + 0.5) / 32 x 100 = 87th percentile (rounded to the nearest whole number).

Therefore, an actor who won the Academy Award at age 37 would be in the 45th percentile of ages of all such actors, while an actor who won at age 72 would be in the 87th percentile.

We must use substitution to do this second integral. We can use the substitution t = 7x, which will give dx = Correct: Your answer is correct. dt. Ignoring the constant of integration, we have sin(7x) dx =

Answers

Answer:

Therefore, the solution is:

$\boxed{\int \sin 7x\, dx=-(\cos 7x)/(7)}$

Step-by-step explanation:

We calculate the given integral. We use the substitution t = 7x.

$\int \sin 7x\, dx=\begin{vmatrix} 7x=t\n 7\, dx=dt\n dx=(dt)/(7) \end{vmatrix}\n\n=\int \sin t \cdot (1)/(7)\, dt\n\n=(1)/(7)\cdot (-\cos t)\n\n=-(\cos 7x)/(7)$

Therefore, the solution is:

$\boxed{\int \sin 7x\, dx=-(\cos 7x)/(7)}$

(Giving brainliest!!)Terrance packs two boxes inside a crate. The total weight of the crate and two boxes is 98.45 pounds. One box weighs 32.8 pounds, and the other box weighs 39.34 pounds. How much does the crate weigh?

A) 72.14 pounds
B) 59.11 pounds
D) 26.31 pounds

Answers

If the total weight of the crate and two boxes is 98.45 pounds and one box weighs 32.8 pounds, and the other box weighs 39.34 pound, the weight of the crate is D) 26.31 pounds.

How the weight of the crate is determined:

The weight of the crate can be determined by addition and subtraction.

Addition and subtraction involves the two of the four basic mathematical operations, including division and multiplication.

The total weight of the crate and two boxes = 98.45 pounds

The weight of one box = 32.8 pounds

The weight of the second box = 39.34 pounds

The total weight of the boxes = 72.14 pounds (32.8 + 39.34)

The weight of the crate = 26.31 pounds (98.45 - 72.14)

Learn more about addition and subtraction at brainly.com/question/4721701.

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Answer:

the crate weighs 26.31

Step-by-step explanation:

add 32.8 and 39.34 together and then subtract 98.45 from the sum. ^^

Step-by-step explanation: