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MArishka [77]
3 years ago
9

What is the exponential form of the logarithmic equation? 3=log0.6 0.216

Mathematics
2 answers:
tatuchka [14]3 years ago
3 0

Answer:

0.216 = 0.6³

Step-by-step explanation:

using the rule of logarithms

• log_{b} x = n ⇔ x = b^{n}

log_{0.6} 0.216 = 3 ⇒ 0.216 = 0.6^{3}


slega [8]3 years ago
3 0

Answer:

(0.6)^3= 0.216

Step-by-step explanation:

3=log_{0.6} 0.216

To convert log form into exponential form we use a rule

if \ x=log_b(a) \ then \ b^x=a

WE apply this rule to convert log form in to exponential form

3=log_{0.6} 0.216

The base of log becomes the base of the exponent

(0.6)^3= 0.216

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The two-way table below describes the quality of sweatshirts and T-shirts screen printed at a local store.
zhuklara [117]

Answer:

There is an association because the relative frequencies by row are different.

Step-by-step explanation:

The relative frequencies by row are:

90 perfect t-shirts out of 90+6=96 t-shirts is:

90/96 = 0.9375

6 flawed t-shirts out of 96 t-shirts is:

6/96 = 0.0625

40 perfect sweatshirts out of 40+10=50 sweatshirts is:

40/50 = 0.8

10 flawed sweatshirts out of 50 sweatshirts is:

10/50 = 0.2

The relative frequencies by row are different; this means there is an association.

4 0
3 years ago
Read 2 more answers
Let's say we have a triangle with sides called a, b, and c, and that b is the base. Our triangle has a height that we'll call h.
Irina18 [472]

Answer:

16.34 square inches.

Step-by-step explanation:

Given:

Base of triangle, b = 3 inches

Height of triangle, h = 10.89 inches

Question asked:

What is the area of this triangle in square inches?

Round your answer to the nearest hundredths place .

Solution:

As we know,

Area\ of\ triangle =\frac{1}{2} \times base\times height

                           =\frac{1}{2} \times3\times10.89\\\\ =\frac{32.67}{2} \\\\ =16.335

As, we have to find the answer to the nearest hundredths place, hence the area of triangle will be 16.34 square inches.

7 0
3 years ago
Consider the following series. 1 9 1 18 1 27 1 36 1 45 Determine whether the series is convergent or divergent. Justify your ans
Vedmedyk [2.9K]

Answer:

<em>Diverges; the limit of the terms, an, is not 0 as n goes to infinity</em>

Step-by-step explanation:

<u>Convergence of Infinite Series</u>

The series is given as the terms

1 , 9 , 1 , 18 , 27 , 1 , 36 , 1 , 45 ...

For a series to be convergent, the limit of the general term an when n goes to infinity must be 0. In such cases, the sum of all terms tends to a fixed value.

Our series has two clearly different sequences, which define it as a piecewise general term:

If n is odd, then

a_n=1

Otherwise, an is an arithmetic series starting from 9 with a common difference of 9, that is

a_n=9+9(n/2-1)=4.5n

if n is even.

If we take the limit as n goes to infinity, we don't know which one should be selected, thus we must assume that any of them is a correct option, therefore both of them should converge.

The limit of the function

a_n=1

is 1 when n goes to infinity. Since it's not 0, this piece is not convergent and the entire series isn't either.

But it goes worse because of the limit of the second piece

a_n=4.5n

when n goes to infinity is infinite.

The answer is

<em>Diverges; the limit of the terms, an, is not 0 as n goes to infinity</em>

8 0
3 years ago
:))))))))))))))))))))))))))))ty
goldenfox [79]

Answer:

I/rt =P

Step-by-step explanation:

to get ride of the r and t u need to divide

divide by rt

which would =to I/rt=P

8 0
3 years ago
At a model airplane​ show, Rosa can build 8 model airplanes in 3 hours. Zach can build 13 model airplanes in 5 hours.
zimovet [89]

Answer:

rosa model airplanes in 3 hours

6 0
3 years ago
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