Answer:
-3+(-6) = -9
Step-by-step explanation:
a negative 3 plus another negative 6 is a negative 9. Is just like if you borrow $3 from your friend and borrow $9 from another friend. That means you own two of your friends a total of $9. This can be mathematically illustrate as: -3 + (-6)= -9
Option B) 3 hours is the time spent by Jenna on the e-mail this week.
<u>Step-by-step explanation:</u>
Jenna spent 30 hours on the computer this week.
The amount of time she spends on computer to work on various fields in given in the pie-chart.
This 30 hours represents her 100% work on computer.
From the figure shown,
She spent 10% of her total work on e-mail.
Therefore, 10% of 30 is the work done in hours by her on e-mail.
⇒ (10/100) × 30
⇒ 0.1 × 30
⇒ 3 hours
∴ Option B) 3 hours is the time spent by Jenna on the e-mail this week.
Answer:
It B ok
Step-by-step explanation:
radius = 3 feet
rearrange the formula making r the subject
πr³ = V ( multiply both sides by 3 to eliminate fraction )
4πr³ = 3V ( divide both sides by 4π )
r³ = 
= ( 3 × 36π ) / 4π = 3 × 9 = 27
take the cube root of both sides
r = ![\sqrt[3]{27}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B27%7D)
= 3
Step-by-step explanation:
Part A:
So the height is going to be x when you fold the sides up. So that's one part of the volume but for the width it was going to be 4 but since two corners were cut out with the length x the new width is going to be (4-2x). The same thing applies for the length which should be 8 inches but since two corners were removed with the length x it's now (8-2x)
v = x(4-2x)(8-2x)
Part B:
The volume can be graphed although there must be a domain restriction since the height, width, or length cannot be negative. So let's look at each part of the equation
so for the x in front it must be greater than 0 to make sense
for the (4-2x), the x must be less than 2 or else the width is negative.
for the (8-2x) the x must be less than 4 or else the length is negative
so the domain is going to be restricted to 0 < x < 2 so all the dimensions are greater than 0
By using a graphing calculator you can see the maximum of the given equation with the domain restrictions is 0.845 which gives a volume of 12.317
