How do i solve log6(25)-log6(5)
Answers
-- The difference of two logs is the log of the quotient.
log₆(25) - log₆(5)
= log₆(25/5) = log₆(5) .
That may be all you can do with it.
If they want you to go ahead and actually find the value of log₆(5) ...
I don't remember how to do that. If it was log₁₀(5) or ln(5) ,
those would be easy, because they're right on your calculator.
But the log to the base of (anything else other than 10 or 'e') takes
an additional step, which I don't remember.
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A metre = 100 centimeters.
If you say your desk measures 46cm:
100 - 46 = 54
Than you desk is 54cm less than a metre.
Hop eit helped,
Happy homwork/ study/ exam!
Answers
Answer:
Step-by-step explanation:
as mentioned in question that sum of 3 consecutive integer is 117
let the first integer be x equation(1)
second integer as x+1 equation(2)
third integer as x+2 equation (3)
so the sum of these three equation will be equal to 117
x+x+1+x+2=117
3x+3=117
3x=114
x=38
so first integer is 38
from equation 2 the value of second integer will be 39
from equation 3 he value of third integer will be 40
so he correct answer is a) 38,39,40
Answers
Answer:
0 < t < 1.04 or t ∈ (0, 1.04)
Step-by-step explanation:
Solving in steps:
- 9.8 < 20 – 9.8t < 20
- 9.8 - 20 < -9.8t < 20 - 20 ⇒ subtract 20 from all sides
- -10.2 < -9.8t < 0 ⇒ divide all sides by -9.8, this changes inequality signs to reverse
- 0< t < 10.2/9.8
- 0 < t < 1.04 or t ∈ (0, 1.04)
Answers
Answer:
A, B and C
Step-by-step explanation:
In the equation: 3y=27x
Making y the subject of the equation, we have:
The constant of proportionality between y and x is 9.
We want to determine which relationships have the same constant of proportionality 9.
Option A
y=9x
The constant of proportionality is 9.
Option B
2y=18x
Divide both sides by 2 to obtain: y=9x
The constant of proportionality is 9.
Option C
x=3, y=1/3
Substitution into y=kx gives:
1/3=3k
k=9
The constant of proportionality is 9.
Option D
x=6, y=2/3
Substitution into y=kx gives:
2/3=6k
k=2/3*6=4
The constant of proportionality is 4.
Option E
When x=2, y=18
Substitution into y=kx gives:
18=2k
k=9
However, when x=4, y=27
Substitution into y=kx gives:
27=4k
k=6.75
This is not a proportional relation since the constant of proportionality is not equal.
The correct options are A, B and C
The Proportional relationships y = 9x, 2y = 18x, and y = (1/3)x have the same constant of proportionality as the equation 3y = 27x.
The equation 3y = 27x represents a proportional relationship between y and x with a constant of proportionality of 9. To determine which relationships have the same constant of proportionality, we can compare the ratios of y to x in the given options.
A) y = 9x: The ratio of y to x is 9, which is the same as the constant of proportionality in the original equation. So, this option has the same constant of proportionality.
B) 2y = 18x: Dividing both sides of the equation by 2, we get y = 9x, which has the same constant of proportionality. Therefore, this option also has the same constant of proportionality.
D) y = (1/3)x: The ratio of y to x is 1/3, which is different from the constant of proportionality in the original equation. Therefore, this option does not have the same constant of proportionality.
So, the correct answers are A) y = 9x, B) 2y = 18x, and D) y = (1/3)x.
For more such questions on Proportional relationships, click on:
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Answers
Josephine will receive approximately 70 advertisements in the next 100 e-mails she receives.
What is the probability?
The possibility of an event in time is known as probability in mathematics. How frequently does the incidence occur over the course of a specific time period, in plain English?
If Josephine received 7 advertisements out of 10 e-mails, then we can say that the probability of receiving an advertisement in a single e-mail is 7/10 or 0.7.
Assuming that the probability of receiving an advertisement in an e-mail remains the same for all e-mails, we can use this probability to make a prediction about the number of advertisements she will receive in the next 100 e-mails.
The expected number of advertisements in 100 e-mails can be calculated by multiplying the probability of receiving an advertisement in a single e-mail by the total number of e-mails:
Expected number of advertisements = probability of an advertisement x total number of e-mails
= 0.7 x 100
= 70
Therefore, based on the given information, we can predict that Josephine will receive approximately 70 advertisements in the next 100 e-mails she receives.
To learn more about the probability;
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Answers
You do Keep, Change, Flip
so...
1/3 /1/2= 1/2*3/1= 3/2 and that is 1 1/2
n=1 1/2