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DerKrebs [107]
3 years ago
14

Classify each polynomial by its degree and bt its number of terms (i.e. cubic or degree=3; trinomial. (a) 5x^4-8 (b) 4a^2-2a-16

(c) 9m^3
Mathematics
1 answer:
lord [1]3 years ago
3 0

Answer:

a. 4th degree binomial

b. 2nd degree trinomial

c. 3rd degree monomial.

Step-by-step explanation:

In order to find each of these, start by writing the degree based on the highest exponent. The work for a is done for you below.

5x^4 - 8

This means it is a 4th degree.

Now we can decide what the final word is based on how many terms there are. In this one there is 2, so we call it a binomial.

4th degree binomial.

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ABC stock sold for $64.50 four days later the same stock sold for $47.10 what is the average change per day?
frozen [14]
So you subtract 64.50 - 47.10 and it equals 17.4 and then you divide that by 4 and your answer is 4.35
4 0
3 years ago
The function h(x) = 2.5x + 20 represents your height in inches, h(x), for x years you have been alive. How many inches tall will
sveticcg [70]

Answer:

Step-by-step explanation:

B

3 0
3 years ago
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y2
HACTEHA [7]

This question is incomplete, the complete question is;

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y2 = 2x, x = 2y; about the y-axis

Answer:

V = π (512/15)

Step-by-step explanation:

Given that;

region of rotation

y² = 2x, x = 2y

Region is rotated about y-axis as shown in the image

for the point of intersection,

y²/2 = 2y

y² - 4y = 0

y(y-4) = 0

∴ y = 0, y = 4

so the region lies in 0 ≤ y ≤ 4

Now cross section area of washer is

A(y) = π(outer radius)² = π(inner radius)²

A(y) = π(2y)² - π(y²/2)²

A(y) = π(4y²) - π(y⁴/4)

A(y) = π(4y² - (y⁴/4))

now volume of the solid of revolution is

V = ⁴∫₀ A(y) dy

V = ⁴∫₀ π(4y² - (y⁴/4))dy

V =  π {4⁴∫₀ y² - 1/4⁴∫₀y⁴ dy }

V = π { 4/3 [y³]₀⁴ - 1/20 [y⁵]₀⁴ }

V = π { 4/3 [4]₀⁴ - 1/20 [4]₀⁴ }

V = π { 4/3 [64]₀⁴ - 1/20 [1024]₀⁴ }

V = π { 256/3 - 1024/20 }

V = π { (5120 - 3072) / 60 }

V = π (512/15)

8 0
3 years ago
You work 35 hours/week for 52 weeks and are given the option to be paid hourly or to go on salary. In which situation will you e
rjkz [21]

Answer:

Hourly

Step-by-step explanation:

if you work for that long and for that many hours you would get alot of money in about a month or two.

4 0
3 years ago
Read 2 more answers
What is the upper quartile, Q3, of the following data set? 54, 53, 46, 60, 62, 70, 43, 67, 48, 65, 55, 38, 52, 56, 41
scZoUnD [109]
The original data set is 
{<span>54, 53, 46, 60, 62, 70, 43, 67, 48, 65, 55, 38, 52, 56, 41}

Sort the data values from smallest to largest to get
</span><span>{38, 41, 43, 46, 48, 52, 53, 54, 55, 56, 60, 62, 65, 67, 70} 
</span>
Now find the middle most value. This is the value in the 8th slot. The first 7 values are below the median. The 8th value is the median itself. The next 7 values are above the median. 

The value in the 8th slot is 54, so this is the median

Divide the sorted data set into two lists. I'll call them L and U 
L = {<span>38, 41, 43, 46, 48, 52, 53}
U = {</span><span>55, 56, 60, 62, 65, 67, 70}
they each have 7 items. The list L is the lower half of the sorted data and U is the upper half. The split happens at the original median (54).

Q3 will be equal to the median of the list U
The median of U = </span>{<span>55, 56, 60, 62, 65, 67, 70} is 62 since it's the middle most value. 

Therefore, Q3 = 62

Answer: 62</span>
4 0
3 years ago
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