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Viefleur [7K]
3 years ago
11

Which expressions are equivalent to –

Mathematics
1 answer:
olga_2 [115]3 years ago
7 0

Answer:

The answer to your question is  10¹/⁴

Step-by-step explanation:

Expression

                            \frac{10}{10^{3/4}}

To solve this problem use the law of exponents.

-Use the division rule of exponents.

If the base if the same in the numerator and denominator, it stays the same and the exponents are subtracted.

                            10¹ ⁻ ³/⁴ = 10¹/⁴   This is the result

You might be interested in
Find the 12th term of the geometric sequence 5, -25, 125, ...5,−25,125,...
katovenus [111]

Answer:

  • a_{12}=-244140625

Step-by-step explanation:

Considering the geometric sequence

5,-25,\:125,\:...

a_1=5

As the common ratio 'r' between consecutive terms is constant.

\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{a_{n+1}}{a_n}

r=\frac{-25}{5}=-5

r=\frac{125}{-25}=-5

The general term of a geometric sequence is given by the formula:  

a_n=a_1\cdot \:r^{n-1}

where a_1 is the initial term and r the common ratio.

Putting n = 12 , r = -5 and a_1=5 in the general term of a geometric sequence to determine the 12th term of the sequence.

a_n=a_1\cdot \:r^{n-1}

a_n=5\left(-5\right)^{n-1}

a_{12}=5\left(-5\right)^{12-1}

      =5\left(-5^{11}\right)

\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a

       =-5\cdot \:5^{11}

\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}

        =-5^{1+11}     ∵ 5\cdot \:5^{11}=\:5^{1+11}

        =-244140625

Therefore,

  • a_{12}=-244140625
6 0
3 years ago
An investigator reviewed the medical records of 200 children seen for care at Boston Medical Center in the past year who were be
lisov135 [29]

Answer:

cohort study

Step-by-step explanation:

Given that an  investigator reviewed the medical records of 200 children seen for care at Boston Medical Center in the past year who were between the ages 8 and 12 and identified 40 children with asthma. He also identified 40 children of the same ages who were free of asthma. Each child and their family were interviewed to assess whether there might be an association between certain environmental factors such as exposure to second-hand smoke.

The objective of this experiment is to test the causes of the disease asthma and to find the risk factors and environment causing this disease.

So this cannot come under randomized control nor case control.

Cross over study is to put to two different environments two groups and study.  But here nothing is influenced actual environments are studied

Hence this comes under cohort study

3 0
3 years ago
PLEASE HELP ASAP HURRY
bulgar [2K]

Answer: The amount she pays for admission

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is the greatest common factor "GCF" of 24x^2 y^3 z^4 + 18x^6 z - 36x^3 y^2
Leokris [45]

Answer:

6x^2

Step-by-step explanation:

4 0
3 years ago
A bag contains 4 white, 2 blue, and
7nadin3 [17]

Answer:

1/2 for red

2/3

b+w=1/2

r+w=5/6

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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