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NARA [144]
3 years ago
11

Anyone help giving 5 stars

Mathematics
1 answer:
Fittoniya [83]3 years ago
3 0

Answer:

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Find the product or quotient using only positive exponents
LenaWriter [7]

Answer:

\frac{3x^6}{6x^{-1}}= \frac{1}{2}x^7

Step-by-step explanation:

Given

\frac{3x^6}{6x^{-1}}

Required

Solve

In laws of indices, we have:

\frac{x^m}{x^n} = x^{m-n}

So, the expression becomes:

\frac{3x^{6 - (-1)}}{6}

\frac{3x^{6 +1}}{6}

\frac{3x^7}{6}

Divide 3 and 6 by 3

\frac{1x^7}{2}

\frac{x^7}{2}

This can be rewritten as:

\frac{1}{2}x^7

Hence:

\frac{3x^6}{6x^{-1}}= \frac{1}{2}x^7

3 0
3 years ago
The cost of renting a car is $29.00 a day plus $0.25 for every kilometre after the first 100km. What is the cost of renting the
ira [324]

Answer:

$461

Step-by-step explanation:

First, find the cost with the daily charge of $29.

Multiply 14 by 29, since the car was rented for 14 days:

14(29)

= 406

Find the cost with the distance traveled. Since there is only a charge after the first 100 km, subtract 100 from 320.

320 - 100

= 220

Find the charge by multiplying this by 0.25:

220(0.25)

= 55

Add this to the daily charge:

55 + 406

= 461

So, the cost will be $461

3 0
3 years ago
Can anyone help with pre- alerba
faust18 [17]

Answer:

\sqrt{x^2} = |x|

Step-by-step explanation:

\sqrt{x^2} = |x|

The radical symbol when used for a square root means the non-negative  square root. You cannot state that sqrt(x^2) = x because x may be negative. That is why you need use the absolute value symbol.

7 0
3 years ago
A container contains 1212 diesel engines. The company chooses 88 engines at​ random, and will not ship the container if any of t
bija089 [108]

Answer:

The probability that a container will be shipped even though it contains 2 defectives if the sample size is 88, will be P(S)=85.99\%

Step-by-step explanation:

The first step is to count the number of total possible random sets of taking a sample size of 88 engines over 1212 engines of the population, so \left[\begin{array}{ccc}1212\\88\end{array}\right] =1212C88=4.7205x10^{135}

The second step is to count the number of total possible random sets of taking a sample size of 88 engines over 1210 engines (discounting the 2 defective engines) as the possible ways to succeed, so \left[\begin{array}{ccc}1210\\88\end{array}\right] =1212C88=4.0596x10^{135}

Finally we need to compute \frac{\# ways\ to\ succeed}{\# random\ sets\ of \ 88} =\frac{4.0596x10^{135}}{4.7205x10^{135}}=0.8599=P(S), therefore the probability that a container will be shipped is P(S)=85.99\%

7 0
3 years ago
Hi can someone please help me? If sin2A=cos 3A find the value of A. Can you please explain in full detail how you arrived at you
cupoosta [38]
<span>Sin (x) = Cos (90 - x)</span>
<span>sin(2A) = cos (90 - 2A)
=cos (3A)
90 - 2A = 3A
5A=90
A=18</span>
6 0
3 years ago
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