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notsponge [240]
3 years ago
6

Solve exponential equation with different bases: 17^j=16

Mathematics
1 answer:
Rasek [7]3 years ago
8 0

Answer:{−17}. In Example 1, we were able to write the left and right sides of the equation with a common base. ... To solve such an equation, we can take a logarithm of the same base on ... Steps to Solve Exponential Equations by Using Logarithms ... of x is a solution to the logarithmic equation. 35. log2(x − 31) = 5 − log2 x a. x = 16.

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A researcher is interested in the lengths of Salvelinus fontinalis (brook trout), which are known to be approximately Normally d
kompoz [17]

Answer:

c. 0.1151

Step-by-step explanation:

d) the probability that, on average, fish are larger than 86 centimeters in length.The area under part of a normal probability curve is  directly proportional to probability and the value is calculated as

z = (x₁−x) /σ

where z = propability of normal curve

x₁ = variate mean = 86cm

x = mean of 80cm

σ = standard deviation = 5cm

applying the formula,

z= (86-80)/5

z = 6/5 =1.2

Using a table of partial areas beneath the standardized normal curve (see Table of normal curve, a z-value of 1.2 corresponds to an area of 0.3849 between the mean value. but, because the standard curve has 0.5, then will minus 0.3849 from 0.5= 0.5 - 0.3849 = 0.1151

Thus the probability of a fish are larger than 86 centimeters in length is 0.1151

5 0
3 years ago
900 is 4 1/2% of what?
Svet_ta [14]
Simple, first change the 4.5% into 0.045

Thus,

900=0.045*n

900/0.045=0.045n/0.045

20,000=n

Thus, your answer is 20,000.
3 0
3 years ago
Read 2 more answers
If there are initially 1800 bacteria in a culture, and the number of bacteria double each hour, the number of bacteria after t h
Nataly_w [17]

Answer:  1.58 hours

<u>Step-by-step explanation:</u>

5400=1800(2)^t\\\\3=2^t\\\\ln\ 3=ln\ 2^t\\\\ln\ 3=t\cdot ln\ 2\\\\\dfrac{ln\ 3}{ln\ 2}=t\\\\1.58=t

5 0
3 years ago
Two points A and B whose heights differ by 10 metres are shown 1.2 cm apart horizontally on a map whose scale is 1: 10 000. a) W
PSYCHO15rus [73]

Answer:

120 meters

Step-by-step explanation:

1.2  x 10 000 = 12000 cm   = 120 meters  

6 0
2 years ago
Read 2 more answers
Find the solution of y=x-3
PtichkaEL [24]

Answer:

x=3

Step-by-step explanation:

0 = x -3

-x = -3

change the sign to positive so x= 3

8 0
3 years ago
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