A cube’s lengths are all the same, so any answer to x^3 which is larger than 216
343 (length is 7)
512 (L is 8)
729 (L is 9)
Toby saves 30.30 money by buying 30 T-shirts at better price.
Step-by-step explanation:
Cost of pack of 5 T-shirts = 13.00 money.
Cost of pack of 2 T-shirts = 7.22 money.
Toby wants to buy total T-shirts = 30 T-shirts.
<u>Case 1 </u>:
For 30 T-shirts, If Toby buys in packs of 5 T-shirts then the number of packs he should buy = 30/5 = 6 packs.
The cost for six packs of 5 T-shirts = 6*13.00 = 78.00 money.
<u>Case 2 </u>:
For 30 T-shirts, If Toby buys in packs of 2 T-shirts then the number of packs he should buy = 30/2 = 15 packs.
The cost for 15 packs of 2 T-shirts = 15*7.22 = 108.30 money.
The money saved = 108.30 -78.00 = 30.30 money.
Therefore, The better price to buy 30 T-shirts is 78.00 money.
Answer: The rocket will reach its max after 4 seconds
Step-by-step explanation:
Hi, to find the maximum height, we have to set the first derivative of the equation equal to zero.
y=-16x^2+128x+136
0 = (2)-16x +128
0= -32x+128
Solving for x:
32x = 128
x = 128/32
x = 4 seconds
The rocket will reach its max after 4 seconds
Feel free to ask for more if needed or if you did not understand something.
To compare the two classes, the Coefficient of Variation (COV) can be used.
The formula for COV is this:
C = s / x
where s is the standard deviation and x is the mean
For the first class:
C1 = 10.2 / 75.5
C1 = 0.1351 (13.51%)
For the second class:
C2 = 22.5 / 75.5
C2 = 0.2980 (29.80%)
The COV is a test of homogeneity. Looking at the values, the first class has more students having a grade closer to the average than the second class.
Answer:
225/4
Step-by-step explanation:
x²– 15x – 23 = 0
To complete the square
We take to coefficient of the x term
-15
divide by 2
-15/2
Square it
225/4
Add it to each term