a) FALSE (would be TRUE if it said LN(56)-LN(7)=LN(8))
b) TRUE (because LN(x+y)-LN(x+y)=LN[(x+y)/(x+y)]=LN(1)=0)
Answer:
Puppy A weighs 8 pounds, which is about 25% of its adult weight. What will be the adult weight of Puppy A? Puppy B weighs 8 pounds, which is about 75% of its adult weight. What will be the adult weight of Puppy B?
Step-by-step explanation:
Answer: x = {-1, -3, 2}
<u>Step-by-step explanation:</u>
x³ + 2x² - 5x - 6 = 0
Use the rational root theorem to find the possible roots: ±1, ±2, ±3, ±6
Use Long division, Synthetic division, or plug them into the equation to see which root(s) work <em>(result in a remainder of zero)</em>.
I will use Synthetic division. Let's try x = 1
1 | 1 2 -5 -6
|<u> ↓ 1 3 -2 </u>
1 3 -2 -8 ← remainder ≠ 0 so x = 1 is NOT a root
Let's try x = -1
- 1 | 1 2 -5 -6
|<u> ↓ -1 -1 6 </u>
1 1 -6 0 ← remainder = 0 so x = -1 is a root!
The coefficients of the reduced polynomial are: 1, 1, -6 --> x² + x - 6
Factor: x² + x - 6
(x + 3)(x - 2)
Set those factors equal to zero to solve for x:
x + 3 = 0 --> x = -3
x - 2 = 0 --> x = 2
Using Synthetic Division and Factoring the reduced polynomial, we found
x = -1, -3, and 2
Answer:
b, c, d
Step-by-step explanation:
y=kx+b
or
y=kx
so y=5,25x-right
y=0,5x-right
y=2,5x+7-right
Answer:
40.0
18%
14.375%
1/250
38
6325
Step-by-step explanation:
Convert the percent to a decimal 4,000%
4000% = 4000/100 = 40.0
Convert the decimal or whole number to a percent.
0.36 * 1/2
= 0.36/2 * 100
= 0.18 * 100
= 18%
Convert the decimal or whole number to a percent.
1.15 * 1/8
= 1.15/8 * 100
= 14.375%
Convert the percent to a reduced fraction, mixed number, or whole number.
0.4%
= 0.4/100
= 1/250
Solve for the portion (in $). Round to hundredths when necessary.
9 1/2% of $400 = 19/2% x 400
= 0.095 x 400
= 38
Solve for the portion. Round to hundredths when necessary.
What number is 253% of 2,500?
253/100 x 2500
= 2.53 x 2500
= 6325
!!
