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3 years ago

I will give brainliest please help me asap! Simplify the expression. Make sure you have all positive exponents.

Mathematics

1 answer:

Lemur [1.5K]3 years ago

7 0

Step-by-step explanation:

$\frac{ {x}^{3} }{ {x}^{8} } = {x}^{3 - 8} \\ = {x}^{ - 5} \\ = \frac{1}{ {x}^{5} }$

To leave answer in positive exponents, just leave the answer inverse of the negative exponents.

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Which expressions are equivalent to 12x - 6? Select all that apply.

Schach [20]

Step-by-step explanation:

12x - 6

-12x - 6

-12x + 6

-12x2 + 6x

12x - 6

Option A and E are the correct answer

5 0

3 years ago

Dean Halverson recently read that full-time college students study 20 hours each week. She decides to do a study at her universi

romanna [79]

Answer: The p-value is 0.154.

Step-by-step explanation:

Since we have given that

We claim that

Null hypothesis :

$H_0:\mu=20$

Alternate hypothesis :

$H_1:\mu$

Population mean = 20 hours

Sample mean = 18.5 hours

Sample standard deviation = 4.3 hours

Sample size n = 35

So, test statistic would be

$z=\dfrac{\bar{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}\\\\z=\dfrac{18.5-20}{\dfrac{4.3}{\sqrt{35}}}\\\\z=\dfrac{-1.5}{0.726}\\\\z=-2.066$

So, the p value would be 0.154.

Hence, the p-value is 0.154.

4 0

4 years ago

NEED HELP!; At Sunset Grove High School, 13% of students walk to school and 28% ride the bus. If the rest drive to school, what

ira [324]

Answer:

59% would be the answer.

Step-by-step explanation:

I believe this is correct, if not feel free to let me know and I will fix it. I'm sorry in advance if it is incorrect.

6 0

3 years ago

2cos^2x+cosx-1=0<br> Find the degree solutions

Lapatulllka [165]

2cos²x+cos x-1=0

cos x=t

2t²+t-1=0

t=[-1⁺₋√(-1+8)]/2=(-1⁺₋3)/4
We have two possible set solutions:
First set solutions.
t₁=(-1-3)/2=-4/4=-1
cos x=-1 ⇒x=cos⁻¹ (-1)=π +2kπ or 180º+360ºk (k=(...-2,-1,0,1,2...)

Second set solutions:
t₂=(-1+3)/4=2/4=1/2

cos x=1/2 ⇒ x=cos⁻¹ 1/2=π/3+2kπ U 5π/3+ 2kπ or
60º+360ºK U 300º+360ºK (k=...-2,-1,0,1,2,...)

solutions: first set solutions U second set solutions:

Answer in radians : π +2kπ U π/3+2kπ U 5π/3+ 2kπ (k=...-1,0,1,...)
Answer is degrees: 180º+360ºk U 60º+360ºK U 300º+360ºK (k=...-2,-1,0,1,2,...)

4 0

3 years ago

Suppose you obtain a $1,300 T-note with a 9% annual rate, paid monthly, with maturity in 6 years. How much interest will be paid

Tems11 [23]

We know that,
Interest, I = $\frac{P×R×T}{100}$
Where, P = Principal = $1300
R = rate of interest = 9% annually = $\frac{9}{12}$ %
T = Time = 1 month

So, I = $\frac{1300×[tex] \frac{9}{12}$ ×1}{100} [/tex]
= $9.75

Interest paid per month is $9.75

7 0

3 years ago

Read 2 more answers

I will give brainliest please help me asap! Simplify the expression. Make sure you have all positive exponents.​

I will give brainliest please help me asap! Simplify the expression. Make sure you have all positive exponents.