The volume of a rectangular prism can be found by the formula:
V = A × h
Where:
A = area of the base of the prism
h = height of the prism
Therefore:
V = 450 × 53
= 23850 in³
The volume of the file cabinet is <span>23850 in³.</span>
Answer:
c) The series diverges. There is no sum.
Step-by-step explanation:
A geometric series is a series of the form:
, 
Where:
- First term of the series, dimensionless.
- Common ratio, dimensionless.
A geometric series converges only if
. As
, the geometric series diverges. Hence, the right answer is C.
The shopkeeper spends 2x + 21 dollars on electricity
The amount the shopkeeper spends on electricity less than $100 is:
x < 39.5
<h3>What is a linear inequality?</h3>
Linear inequality explains the range of values that a variable represents.
Total amount spent by the shopkeeper = 7x + 19
Amount spent on rent = 5x - 2
Total amount spent = Amount spent on rent + Amount spent on electricity
(7x + 19) = (5x - 2 ) + Amount spent on electricity
Amount spent on electricity = (7x + 19) - (5x - 2)
Amount spent on electricity = 7x - 5x + 19 + 2
Amount spent on electricity = 2x + 21
For which value(s) of x is the amount the shopkeeper spends on electricity less than $100?
Amount spent on electricity < 100
2x + 21 < 100
2x < 100 - 21
2x < 79
x < 79/2
x < 39.5
Learn more on linear inequalities here: brainly.com/question/11613554
Answer:
-5, -4 , -3 , -2, -1, 1, 2 , 3, 4, 5
Step-by-step explanation:
Here are the numbers of times 11 people ate out last month. 4, 6, 6, 5, 7, 4, 4, 5, 4, 5, 5 Find the modes of this data set. If
Ludmilka [50]
Answer:
4, 5
Step-by-step explanation:
put in order form least to greatest
4,4,4,4,5,5,5,5,6,6,7
whichever number occurs the most is the mode, if two numbers occur the same amount of times, they are bith the mode.