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3 years ago

Express in exponential form. x = logby

Mathematics

2 answers:

Lunna [17]3 years ago

6 0

X = log (base b) y
The base of the log becomes the base of the exponent.
The x and y switch.
b^x = y

shutvik [7]3 years ago

3 0

Answer:

In exponential form given equation is expressed as $b^x=y$

Step-by-step explanation:

Given equation is $x=log_b\,y$

We use the following logarithmic result,

$a^{log_a\,x}=x$

Consider,

$x=log_b\,y$

Take both to the power of b.

$b^{x}=b^{log_b\,y}$

$b^x=y$

Therefore, In exponential form given equation is expressed as $b^x=y$

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Box A has 14 black pens and 6 blue pens box B has 9 black pens and 3 blue pens a pen is randomly chosen from each box list these

earnstyle [38]

Answer:

The list of these events from least likely to most likely is Blue-Blue -> Black-Blue -> Blue-Black -> Black-Black

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Possible outcomes:

Black - Black

Black - Blue

Blue - Black

Blue - Blue

Probability of each outcome:

Black-Black:

14 out of 20, and then 9 out of 12. So

$P_{BkBk} = \frac{14}{20} \times {9}{12} = \frac{14*9}{20*12} = \frac{126}{240}$

Black-Blue:

14 out of 20, then 3 out of 12. So

$P_{BkBl} = \frac{14}{20} \times {3}{12} = \frac{14*3}{20*12} = \frac{42}{240}$

Less likely than black-black.

Blue - Black:

6 out of 20, then 9 out of 12. SO

$P_{BlBk} = \frac{6}{20} \times {9}{12} = \frac{6*9}{20*12} = \frac{54}{240}$

More likely than black-blue, less likely than black-black.

Blue - Blue

6 out of 20, then 3 out of 12

$P_{BlBl} = \frac{6}{20} \times {3}{12} = \frac{6*3}{20*12} = \frac{18}{240}$

Least likely of the outcomes.

List these events from least likely to most likely:

The list of these events from least likely to most likely is Blue-Blue -> Black-Blue -> Blue-Black -> Black-Black

6 0

3 years ago

Please fill out the questions on the right, i will do the graph

valkas [14]

Answer:

Step-by-step explanation:

for the first one is

Domain:

(−∞,∞),{x|x∈R}

Range:

(−7,∞),{y|y>−7}

Horizontal Asymptote:

y=−7

y-intercept(s):

(0,−6)

the second one is

y-intercept(s):

(0,8)

Horizontal Asymptote:

y=2

Domain:

(−∞,∞),{x|x∈R}

Range:

(2,∞),{y|y>2}

7 0

2 years ago

How much does Greg earn per hour? Explain how to determine the unit rate from the table?

Butoxors [25]

Answer:

Well you can already answer that(37)

Step-by-step explanation:

In 3 hours and 30 minutes Greg has earned 64.75 dollars if you take that amount(the amount earned in 3 and a half hours) and divide it by the 3 1/2 hours(the time it took to earn that amount) you get 18.50 which is the amount you earn per half hour since that graph is increasing at 30min. per 18.50 or the amount.

3 0

3 years ago

In a survey of market, it is found that 143 persons use white toothpaste and 135 use red toothpaste. If 70 of them use both the

denpristay [2]

Answer:

let W and R represent white toothpaste and red toothpaste represently

n(W)=143

n(R)=135

n(WnR)=70

n( WuR)=?

Now,

n(WuR)=n(W)+n(R)_n(WnR)

=143+135_70

=208

that's all don't forget to write therefore.

6 0

3 years ago

One number is 2 less than a second number. Twice the second number is 17 less than 5 times the first

gulaghasi [49]

X=y-2
2y=5x-17
Substituting for x into the second equation, we find
2y=5(y-2)-17
2y=5y-10-17
-3y=-27
y=9
So x=7
Thus, the two numbers are 7 and 9.

4 0

3 years ago