Answer:
x ≈ 1091.63
Step-by-step explanation:
Using the rule of logarithms
x = n ⇔ x = 
note that ln x is to the base e
Given
ln(x + 5) = 7, then
x + 5 = 
( subtract 5 from both sides )
x = - 5 ≈ 1091.63 ( nearest hundredth )
<u>Answer:</u>
Mrs. Khan is mailing 2 packages. Subtract 623 – 312 best describe how to find out how much heavier the larger package is. Hence Option C is correct
<u>Solution:</u>
Given that
Mrs khan is mailing two packages.
Weight of larger package = 623 pounds
Weight of small package = 312 pounds
Now we need to find how much heavier larger package compare to smaller one is.
To get this if we remove weight of smaller package from larger package , we will get how much larger package is heavier.
That is<em> Weight of larger package – Weight of smaller package</em> = 623 pounds – 312 pounds
Hence option C) subtract 623 – 312 best describe how to find out how much heavier the larger package is.
<u>Given</u>:
The measure of ∠EGF is 51°
We need to determine the measure of ∠EHF
<u>Measure of ∠EHF:</u>
By inscribed angle theorem, we know that, "if two inscribed angles of a circle intercept the same arc then the angles are congruent".
Applying the theorem, we have that the two inscribed angles of a circle intercepting the same arc are ∠G and ∠H
Then, the two angles are congruent.
Thus, we have;
∠G ≅ ∠H
Therefore, the measure of ∠G = ∠H = 51°
Hence, the measure of ∠EHF = 51°
3 x -2^(n-1)
To answer this question, first solve the equation 3 x -2^(n-1) for n=1, n=2,
n=3, n=4, and n=5.
Where n=1
3 x -2^(1-1)
3 x -2^0
3 x 1
n1 = 3
Where n=2
3 x -2^(2-1)
3 x -2^1
3 x -2
n2 = -6
Where n=3
3 x -2^(3-1)
3 x -2^2
3 x 4
n3 = 12
Where n=4
3 x -2^(4-1)
3 x -2^3
3 x -8
n4 = -24
Where n=5
3 x -2^(5-1)
3 x -2^4
3 x 16
n5 = 48
The next step is to find the summation by adding n1 + n2 + n3 + n4 + n5.
3 + (-6) + (12) + (-24) + (48) =
3 - 6 + 12 - 24 + 48
= 33
The answer is C. 33
