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Maurinko [17]
3 years ago
9

Choose one of the factors of x15 − 64. (2 points)

Mathematics
2 answers:
Lorico [155]3 years ago
6 0

We have been given the function x^{15}-64

Convert this expression in difference of cubes form.

x^{15}-64\\=(x^5)^3-4^3

Now, in order to find the factors, we can apply the difference of cubes form, which is given by

x^3-y^3=(x-y)(x^2+xy-y^2)

On applying this formula, we get

(x^5-4)(x^{10}+4x^5+16)

Hence, the factors of the given expression are

(x^5-4) \text{ and }(x^{10}+4x^5+16)

Out of the given option, A is the correct option.

x^5 − 4 is the required factor.

umka21 [38]3 years ago
4 0
X^5-4 is the answer
hope this helped

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Two roller coasters are vying for the title of the steepest drop the first ride has a hill that drops 140 feet in a 40 foot run
muminat

Answer:

They have the same slope

Step-by-step explanation:

Given

Coaster 1:

Drops = 140ft

Run = 40ft

Coaster 2:

Drops = 105ft

Run = 30ft

First, we calculate the slope (m) of both coasters

m = \frac{Rise}{Run}

m = \frac{Drops}{Run}

For coaster 1:

m = \frac{140ft}{40ft}

m = \frac{140}{40}

m = 3.5

For coaster 1:

m = \frac{105ft}{30ft}

m = \frac{105}{30}

m = 3.5

<em></em>m = m=>3.5 = 3.5<em></em>

<em>By comparison, they have the same slope</em>

8 0
3 years ago
Help i made it worth a lot of points
raketka [301]

Answer:

36x^6/y^10

Step-by-step explanation:

First evaluate the parentheses, 6x^3 x 6x^3 = 36x^6

y^5 x y^5 = y^10 ; remember m^k x m^r = m^k+r

final answer should be 36x^6/y^10

hope this helps :')

4 0
2 years ago
Read 2 more answers
A horticulturist working for a large plant nursery is conducting experiments on the growth rate of a new shrub. Based on previou
valkas [14]

Answer:

t=\frac{1.8-2}{\frac{0.5}{\sqrt{48}}}=-2.771    

The degrees of freedom are given by:

df=n-1=48-1=47  

And the p value would be:

p_v =P(t_{(47)}    

Since the p value is lower than the significance level we have enough evidence to conclude that the true mean for this case for the growth rate is less than 2cm per week

Step-by-step explanation:

Information given

\bar X=1.8 represent the sample mean for the growth

s=0.5 represent the sample standard deviation    

n=48 sample size    

\mu_o =2 represent the value that we want to compare

\alpha=0.01 represent the significance level

t would represent the statistic    

p_v represent the p value

System of hypothesis

We need to conduct a hypothesis in order to check if the true mean is less than 2cm per week, the system of hypothesis are :    

Null hypothesis:\mu \geq 2    

Alternative hypothesis:\mu < 2    

Since we don't know the population deviation the statistic is given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)    

Replacing the info given we got:

t=\frac{1.8-2}{\frac{0.5}{\sqrt{48}}}=-2.771    

The degrees of freedom are given by:

df=n-1=48-1=47  

And the p value would be:

p_v =P(t_{(47)}    

Since the p value is lower than the significance level we have enough evidence to conclude that the true mean for this case for the growth rate is less than 2cm per week

6 0
3 years ago
20 POINTS TO WHOEVER CAN ANSWER THIS QUESTION! PLZZZ?!
Yakvenalex [24]
Hope this would help you

6 0
3 years ago
Read 2 more answers
Write the fraction 3663 in simplest form
dybincka [34]
HEY THERE.

THE CORRECT ANSWER IS 36/63 = 4/7 Hope this helps you
8 0
3 years ago
Read 2 more answers
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