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2 years ago

PLEASE HELP WITH THIS

Mathematics

2 answers:

ArbitrLikvidat [17]2 years ago

8 0

Answer:

Step-by-step explanation:

The question can be written is

5^x = 75

Now take the log of both sides.

log(5x) = log(75) Bring the x outside the brackets

x log(5) = log(75) Divide by log 5

x = log(75)/log(5)

log 75 = 1.8751

log 5 = .8990

x = 1.8751/.8990 = 2.6826

marusya05 [52]2 years ago

7 0

Answer:

(b) 2.68

Step-by-step explanation:

Your question has a link to a suitable calculator. All you need to do is make use of it. It tells you log₅(75) ≈ 2.68.

Other ways to look at the problem

If you recall that a logarithm represents an exponent of the base, you can ask yourself, what power 5 must be raised to in order to get 75. You know that 5^2 = 25, and 5^3 = 125, so the power will have to be between 2 and 3. There is only one answer choice in that range: 2.68.

The rules of logarithms let you rewrite the given expression as ...

log₅(75) = log₅(3×5²) = log₅(3) +2·log₅(5) = log₅(3) +2

The log₅ of any number between 1 and 5 will be a positive fraction, so this sum must be between 2 and 3.

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Jose left the White House and drove toward the recycling plant at an average speed of 40 km/h. Rob left some time later driving

Aleks04 [339]

Let $x$ represent Jose's drived distance and $y$ represent Rob's.
So what you need to do is to solve the equation:
$40x=48*5$
$40x=240$
$x=240/40=6$

So Jose drove for 6 hours before Rob caught him.

4 0

3 years ago

Suppose that the proportions of blood phenotypes in a particular population are as follows: A B AB O 0.48 0.13 0.03 0.36 Assumin

Serggg [28]

Answer:

P(O and O) =0.1296

P=0.3778

Step-by-step explanation:

Given that

blood phenotypes in a particular population

A=0.48

B=0.13

AB=0.03

O=0.36

As we know that when A and B both are independent that

P(A and B)= P(A) X P(B)

The probability that both phenotypes O are in independent:

P(O and O)= P(O) X P(O)

P(O and O)= 0.36 X 0.36 =0.1296

P(O and O) =0.1296

The probability that the phenotypes of two randomly selected individuals match:

Here four case are possible

P=P(A and A)+P(B and B)+P(AB and AB)+P(O and O)

P=0.48 x 0.48 + 0.13 x 0.13 + 0.03 x 0.03 + 0.36 x 0.36

P=0.3778

7 0

3 years ago

PLEASE HELP!

Orlov [11]

We have that
If (5x-4+13x=5) --------------> then x=1/2
Step 1
let's substitute the value of x = (1/2) in the expression [5x-4+13x] and verify its result
5*(1/2)-4+13*(1/2)
(5/2)-4+(13/2)
(5-4*2+13)/2----------> (5-8+13)/2=10/2=5
then
5=5-----------> the value of x = (1/2) satisfies equality

3 0

3 years ago

Slope 2 passing through 10,8

nlexa [21]

Use y=Mx+b with x=10 and y=8

4 0

3 years ago

I did the first one but can you help me with the second one plz??

yanalaym [24]

the only like-terms are on the right-hand-side, since the left-hand-side has only 1 term anyway.

$\bf \cfrac{5}{2}s=\cfrac{3}{2}s+s\implies \cfrac{5}{2}s=\cfrac{3}{2}s+\cfrac{s}{1}\implies \cfrac{5}{2}s=\stackrel{\textit{using the LCD of 2}}{\cfrac{(1)3s+(2)s}{2}} \\\\\\ \cfrac{5}{2}s=\cfrac{3s+2s}{2}\implies \cfrac{5}{2}s = \cfrac{5}{2}s$

5 0

3 years ago