Answer:
x = 2.81 and 2.096
Step-by-step explanation:
Given the expression
10(2^x) + 7(3^x) = 6^x + 70
This can also be expressed as;
10(2^x) + 7(3^x) = (2*3)^x + 70
10(2^x) + 7(3^x) = 2^x*3^x + 70
Let a = 2^x and b = 3^x
10a + 7b = ab + 70
10a + 7b - ab = 70
10a-ab + 7b - 70 = 0
a(10-b)+7(b-10) = 0
a(10-b)-7(10-b) = 0
a-7 = 0 and 10-b = 0
a = 7 and b = 10
Since a = 2^x
7 = 2^x
log 7 = log2^x
log7 = xlog2
x = log7/log2
x = 2.81
Similarly
10 = 3^x
log 10 = log 3^x
log 10 = xlog3
x = log 10/log 3
x = 1/0.4771
x = 2.096
Hence the values of x that satisfies the equation are 2.81 and 2.096
Answer:
MMM
Step-by-step explanation:
Given
See attachment for elements of the sample space (in a probability tree)
Required
Which of MMM, FFM, MFF, FMF represents more than one male?
From the question, we understand that:


So, for an event to represent more than 1 male, there must be an occurrence of at least 2 M (i.e 2 M or 3 M)
From the given options, only MMM has more than 1 M.
Hence, MMM represents more than one Male
Answer:
do you still need this answer to this question and where is the other question??
Step-by-step explanation:
Answer:
2 7/8
Step-by-step explanation:
first step is making these into improper fractions for example 6 1/8 would equal 49/8 because 6*8=48 and add the 1/8 to get 49/8 then do the same with the 3 1/4 make them into 8ths. so it would be 3 2/8 then 26/8 now subtract 49-26 to get 23/8. now simplify to get 2 7/8
Given:
The radius of circle is 11 inch
The value for pi is 3
The objective is to find the area of the circle.
The area of the circle is given by the formula:

Substituting ,r = 11

We get:

Hence, the area of the circle is 363 square inches