You multiply $15 by 23 which is 345. Then you multiply 345 by 52 for there is 52 in a year. The answer $17940.
Answer:
5in by 5in by 5in
Step-by-step explanation:
We are not told wat to find but we can as well find the dimension of the prism that will minimize its surface area.
Given
Volume = 125in³
Formula
V = w²h ..... 1
S = 2w²+4wh ..... 2
w is the side length of the square base
h is the height of the prism
125 = w²h
h = 125/w² ..... 3
Substitute eqn 3 into 2 as shown
S = 2w²+4wh
S = 2w²+4w(125/w²)
S = 2w²+500/w
To minimize the surface area, dS/dw = 0
dS/dw =4w-500/w²
0= 4w-500/w²
Multiply through by w²
0 = 4w³-500
-4w³ = -500
w³ = 500/4
w³ =125
w = cuberoot(125)
w = 5in
Get the height
125 =w²h
125 = 25h
h = 125/25
h = 5in
Hence the dimension of the prism is 5in by 5in by 5in
The domain of the graphed function is [-3, 2)
<h3>How to determine the domain and the range?</h3>
From the given graph, we have the following highlights:
- Minimum x value = -3 (closed circle)
- Maximum x value = 2 (open circle)
Open circles are represented with () while closed circles are represented with []
Hence, the domain of the graphed function is [-3, 2)
Read more about domain at:
brainly.com/question/2264373
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Answer:
10 cars
Step-by-step explanation:
37 ÷ 4 = 9.25
Because this is dealing with people, not numbers, there can't be a remaining 0.25 person. There's one extra person that doesn't cleanly fit into the 9 other cars, so a tenth car is needed for that person.
Answer:
38.5
Step-by-step explanation:
b^2= 29^2+20^2-2×20×29× Cos 102
b^2=841+400-1160 (-0.2079)
=1241- 241.164
b^2=1482.164
b= square root of 1482.164
AC = 38.5
