Answer:
g =1.356207187
Step-by-step explanation:
7^g =14
Take the log on both sides
log (7^g) = log 14
We know that log a^b = b log a
g log 7 = log 14
Divide each side by log 7
g log 7 /log 7 = log 14 / log 7
g = log 14 / log 7
g =1.356207187
Answer:
Slope = -17
Step-by-step explanation:
We are given the equation of the line to be:
y = -17x + 47/3 which is in the slope-intercept form.
Recall: equation of a line in slope-intercept form takes the following format:
y = mx + b
Where,
m = slope of the line
b = y-intercept of the line
Thus, the slope of the line (m), y = -17x + 47/3 would be -17
Answer:
-2
Step-by-step explanation:
Let Oliver's number be x.
He multiplies it by 5:
x * 5 = 5x
He then subtracts 26:
5x - 26
Then, he divides by 6:
He then multiplies his original number by 3, and gets the same answer.
This implies that:
Let us simplify this:
Collecting like terms:
Oliver's number is -2.
Answer:
53, 55, 57, and 59
Step-by-step explanation:
Let the numbers be
x, x +2, x +4, and x+6. Then
x + x+2 + x +4 + x + 6 = 224 Combine like terms
4x + 12 = 224 Subtract 12 from each side
4x = 212 Divide each side by 4
x = 53
The four consecutive integers are 53, 55, 57, and 59.
<em>Check:
</em>
53 + 55 + 57 + 59 =224
Answer:
a(8) = -0.0027
Step-by-step explanation:
The most general formula for a geometric sequence is a(n) = a(1)*r^(n-1), where a(1) is the first term and r is the common ratio.
Here, the formula becomes a(n) = 6*(-1/3)^(n-1).
Substitute 8 for n to find the eighth term:
a(8) = 6*(-1/3)^(8-1), or a(8) = 6(-1/3)^7, or a(8) = -0.0027
