Answer:
D. 10
Step-by-step explanation:
If he hits 8 swings every 24 swings, that gives you a ratio of 1 hit:3 swings. Using this ratio, you can take the 8 hits he already has, and add them on the 6 extra swings he did to get 30 swings. Using the ratio, he hits 2 more, and 8+2=10, so D.
Answer:
#1. x = -1
Answer = 8
#2. x = 1/5
Answer = 344/25
#3. x = 14
Answer = 13328
Step-by-step explanation:
#1. a. plug in -1
f(-1)= (5(-1)^3) - (2(-1)^2 - (-1) + 14
b. Solve the exponents.
(5(-1)^3)
(5x-1)
(-5) - (2(-1)^2) - (-1) + 14
(2(-1)^2)
(2x1)
(-5) - (2) - (-1) +14
c. simplify.
(-5) - (2) + 1 + 14
-7 + 15
8
#2.
f(1/5)= (5(1/5)^3) - (2(1/5)^2 - (1/5) + 14
(5(1/5)^3)
(5 x 1/125)
(1/25) - (2(1/5)^2)
(2 x 1/25)
(2/25)
(1/25) - (2/25) - (1/5) +14
(-1/25) - (1/5) +14
Note: (1/5) turns into (5/25) so it can be subtracted.
-6/25 + 14
Note: 14 turns into 350/25 so it can be added.
350/25 - 6/25 = 344/25
#3.
f(14)= (5(14)^3) - (2(14)^2 - (14) + 14
Note: Normally you do the exponents first but I'm just going to casually take out the two 14s at the end cause they cancel each other out.
f(14)= (5(14)^3) - (2(14)^2)
( 5 (14^3))
(5 x 2744)
(13720) - (2(14^2))
(2 (14^2))
(2x196)
392
(13720) - 392
13328
Good Luck!
Answer:
(C) Because 0 is contained in the interval, there is not convincing evidence that the proportion of all dogs that can learn the skill with one hour of training differs from the proportion of all cats that can learn the skill with one hour of training.
Step-by-step explanation:
Answer:
The area of the triangular section is 12 square units. The area of the entire figure is 60 square units.
Step-by-step explanation:
Answer:
It is not.
Step-by-step explanation:
If you plug in
for x and y, you'll get

That is incorrect. So it is not a solution