A rectangle has an area of 82 ft2. What is the length if the width is 10 ft?

URGENT HELP ME PLEASE

Trava [24]

Answer:

(a) $\log_3(\dfrac{81}{3})=3$

(b) $\log_5(\dfrac{625}{25})=2$

(c) $\log_2(\dfrac{64}{8})=3$

(d) $\log_4(\dfrac{64}{16})=1$

(e) $\log_6(36^4)=8$

(f) $\log(100^3)=6$

Step-by-step explanation:

Let as consider the given equations are $\log_3(\dfrac{81}{3})=?,\log_5(\dfrac{625}{25})=?,\log_2(\dfrac{64}{8})=?,\log_4(\dfrac{64}{16})=?,\log_6(36^4)=?,\log(100^3)=?$ .

(a)

$\log_3(\dfrac{81}{3})=\log_3(27)$

$\log_3(\dfrac{81}{3})=\log_3(3^3)$

$\log_3(\dfrac{81}{3})=3$ $[\because \log_aa^x=x]$

(b)

$\log_5(\dfrac{625}{25})=\log_5(25)$

$\log_5(\dfrac{625}{25})=\log_5(5^2)$

$\log_5(\dfrac{625}{25})=2$ $[\because \log_aa^x=x]$

(c)

$\log_2(\dfrac{64}{8})=\log_2(8)$

$\log_2(\dfrac{64}{8})=\log_2(2^3)$

$\log_2(\dfrac{64}{8})=3$ $[\because \log_aa^x=x]$

(d)

$\log_4(\dfrac{64}{16})=\log_4(4)$

$\log_4(\dfrac{64}{16})=1$ $[\because \log_aa^x=x]$

(e)

$\log_6(36^4)=\log_6((6^2)^4)$

$\log_6(36^4)=\log_6(6^8)$

$\log_6(36^4)=8$ $[\because \log_aa^x=x]$

(f)

$\log(100^3)=\log((10^2)^3)$

$\log(100^3)=\log(10^6)$

$\log(100^3)=6$ $[\because \log10^x=x]$

5 0

3 years ago

Look at the picture and answer it please

AysviL [449]

The first choice is substitution because G s being substituted by C

5 0

3 years ago

You are the sales manager for a large condominium development in Sacramento, California. You are interested in determining how m

wolverine [178]

Answer:

A one-sided, two-sample t-test

Step-by-step explanation:

In the context, the values of the population standard deviations are not provided, therefore we have to use the two sample t tests for the difference between the two population means. This claim for the hypothesis or the alternative hypothesis is given as the average selling price is more for the first group of the sample size of 21 as compared to the other group of the sample size of 87. Therefore, we perform an one sided test or the upper tailed test.

4 0

3 years ago

What is the explict rule for the sequence 12,22,32,42

icang [17]

The explicit rule for given sequence is:

$a_n=2+10n$

Further explanation:

We have to determine first of all if the sequence is arithmetic or geometric.

If the difference of two consecutive terms is same then the sequence is arithmetic sequence
If the ratio of two consecutive terms is same then the sequence is geometric sequence

Given sequence is:

12,22,32,42

$a_1=12\\a_2=22\\a_3=32\\.......\\Let\\d=Common\ difference\\d=a_2-a_1=22-12=10\\d=a_3-a_2=32-22=10$

The common difference is 10 which is same for all consecutive terms. So the sequence is an arithmetic sequence.

The general formula for arithmetic sequence is:

$a_n=a_1+(n-1)d\\Here,\\a_n\ is\ the\ nth\ term\\a_1\ is\ the\ first\ term\\d\ is\ the\ common\ difference$

Putting the values of a1 and d

$a_n= 12+(n-1)(10)\\a_n=12+10n-10\\a_n=2+10n$

The explicit rule for given sequence is:

$a_n=2+10n$

Keywords: Arithmetic sequence, Common Difference

Learn more about arithmetic sequence at:

#LearnwithBrainly

8 0

3 years ago

What is 2/21 times 7/5

boyakko [2]

Answer:

2/21 times 7/5 is 14/105.

Step-by-step explanation:

2 • 7 = 14 Multiply the numerators

21 • 5 = 105 Multiply the denominators

14/105

Hope this helps,

♥A.W.E.S.W.A.N.♥

5 0

3 years ago