Answer:
96 marks
Step-by-step explanation:
We know that the mean of a given amount of values is the sum of the values divided by the number of values
Let the marks in the fourth test = x marks
Mean of the values = 90
(85 + 90 + 89 + x) / 4 = 90
264 + x = 360
x = 96
Therefore, Jamie needs 96 marks in her 4th test to get a mean score of 90
Answer:
C. g(x) = 3·2^x +2
Step-by-step explanation:
The graph of g(x) appears to be a translation upward of the graph of f(x).
__
To find the equation of g(x), we can add 5 to f(x), since the translation appears to be 5 units. (The y-intercept of f(x) is 0; the y-intercept of g(x) is 5.)
g(x) = f(x) +5
g(x) = (3·2^x -3) +5
g(x) = 3·2^x +2
__
You can also determine the correct choice by looking at the value at x=0:
A. g(0) = 3 +6 = 9
B. g(0) = 1 +3 = 4
C. g(0) = 3 +2 = 5 . . . . matches g(0) on the given graph
D. g(0) = 3
Answer:
250
Step-by-step explanation:
4/16 = 1/4 = .25
When dividing exponents, subtract the bottom from the top, so
÷
= 
So, .25 *
= 250
V = (1/4)(π* d² * h)
<span>V = (1/4)(π * 10² * 12) </span>
<span>V = (1/4)(1200π) </span>
<span>V = 300π </span>
<span>[ V ≈ 942 cubic units . . . . . to 3 s.f. ] </span>
<span>V ≈ 942 cubic units
</span>
Use a calculator and divide