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Serga [27]
4 years ago
11

Help! Thanks in advance! Screenshotted question!

Mathematics
1 answer:
zalisa [80]4 years ago
4 0
The answer is (2g)-3
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Which logarithmic equation is equivalent to the exponential equation below?
aleksandr82 [10.1K]

Option B: \ln 6=5 x is the correct answer.

Explanation:

The exponential equation is e^{5 x}=6

If f(x)=g(x), then \ln (f(x))=\ln (g(x))

Thus, the equation becomes

\ln \left(e^{5 x}\right)=\ln (6)

Applying log rule, \log _{a}\left(x^{b}\right)=b \cdot \log _{a}(x) and thus the equation becomes

5 x \ln (e)=\ln (6)

Since, we know that, \ln (e)=1, using this we get,

5 x=\ln (6)

Hence, the logarithmic equation which is equivalent to the exponential equation e^{5 x}=6 is \ln 6=5 x

Thus, Option B is the correct answer.

7 0
3 years ago
A truck can be rented from Company A for ​$150 a day plus ​$0.40 per mile. Company B charges ​$80 a day plus ​$0.90 per mile to
enot [183]

Answer:

140 miles

Step-by-step explanation:

Let

Number of miles = m

Total cost = fixed cost + variable cost

Company A = ​$150 + $0.40m

Company B = ​$80 + $0.90m

Equate company A and company B equation

Company A = Company B

​$150 + $0.40m = ​$80 + $0.90m

Collect like terms

150 - 80 = 0.90m - 0.40m

70 = 0.50m

m = 70 / 0.50

= 140

m = 140 miles

The number of miles in a day at which the rental costs for Company A and Company B are the same is 140 miles

6 0
3 years ago
Please help I will give brainliest
dybincka [34]

Answer:

y = 5/-2x - 1

Step-by-step explanation:

7 0
3 years ago
Malik randomly picked two numbers from 1 to 9 (including 1 and 9). the same number could be picked more than once. the first of
shtirl [24]

The probability that the sum of the two numbers Malik picks is less than 5, given that the first number is odd and less than 5 is 0.0494.

<h3>What is a probability?</h3>

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about how probable an event is to happen, or its chance of happening.

Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty.

Probability of an event P(E) = Number of favourable outcomes/Total number of outcomes.

Calculation for the given condition;

Either 1 or 3 must be present if a given integer is odd and smaller than 5.

The likelihood that it was picked from a set of nine numbers is (2/9).

The probability that the first integer is 1 is 50/50.

If it is and their combined number is less to 5, the second number will either be 1, 2, or 3.

The likelihood that it was picked out of the nine numbers is (3/9).

Additionally, there is a 50/50 probability that the first digit will be 3.

A second number is 1 if it is and the sum would be less than 5.

It was selected with a 1 in 9 chance of being one of the other 8 numbers.

The total probability is;

= (2/9)  times  [ (0.5 x 3/9)  +  (0.5 x 1/9) ]

= (2/9)  times  [ (1.5/9)  +  (0.5/9) ]

= (2/9)  times  [ 2/9 ]  =  4/81

= 0.0494

Therefore,  the probability that the sum of the two numbers malik picks is less than 5 is 0.0494.

To know more about probability, here

brainly.com/question/251701

#SPJ4

5 0
2 years ago
Read 2 more answers
There are 100 students in a blind school. Mr.and Mrs. Ramesh wished to serve them milk. They served the milk in a hemispherical
zysi [14]
A) The radius of the hemisphere is:
r = d÷2 = 21÷2 = 10.5cm

We can now calculate the volume of a hemisphere:
V = 2/3 π r<span>³
   = </span> 2/3 π (10.5)³
   = 2423 cm³

As we can consider that 1000cm³ contains 1l, each bowl contains 
2423 ÷ 1000 =2.423l.
In total, the milk served will be: 2.423 × 100 = 242l

B) The total cost will be: 
242 × 10 = 2420Rs

C)<span> Mr.and Mrs. Ramesh helped blind students using an eco-friendly material, therefore they have shown social and environmental values.</span>
6 0
3 years ago
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