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3 years ago

Find the remainder when 6a3 - 2a2 + 7a – 12 is divided by – 4 + 3a

Mathematics

1 answer:

Cloud [144]3 years ago

4 0

Answer:

remainder = 8

answer is: 2a^(2) + 2a + 5 remainder 8

Step-by-step explanation:

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What is 3 to the 6th power to the negative 2

malfutka [58]

I believe the answer is 1/531441

8 0

3 years ago

Verizon has a special and is selling the new iPhone 7 for $299 to new customers. If the Apple Store is charging twice as much as

-Dominant- [34]

Answer:

$598

Step-by-step explanation:

2 x 299 = 598 so Apple is charging $598 for the new phone.

6 0

2 years ago

Element X decays radioactively with a half-life of eight minutes. If there are 800 g of element X, how long, to the nearest 10th

Harman [31]

Answer: 41.5 min

Step-by-step explanation:

This problem can be solved with the Radioactive Half Life Formula:

$A=A_{o}.2^{\frac{-t}{h}}$ (1)

Where:

$A=22 g$ is the final amount of the radioactive element

$A_{o}=800 g$ is the initial amount of the radioactive element

$t$ is the time elapsed

$h=8 min$ is the half life of the radioactive element

So, we need to substitute the given values and find $t$ from (1):

$22 g=(800 g) 2^{\frac{-t}{8 min}}$ (2)

$\frac{22 g}{800 g}=2^{\frac{-t}{8 min}}$ (3)

$\frac{11}{400}=2^{\frac{-t}{8 min}}$ (4)

Applying natural logarithm in both sides:

$ln(\frac{11}{400})=ln(2^{\frac{-t}{8 min}})$ (5)

$-3.593=-\frac{t}{8 min}ln(2)$ (6)

Clearing $t$ :

$t=41.46 min \approx 41.5 min$ This is the time elapsed

7 0

3 years ago

6.1.PS-17

elena-14-01-66 [18.8K]

19/25 or 76/100 so it would be 76%

5 0

3 years ago

Erica babysits for 4.5 hours and is paid $27. If the people she babysits for have $34 to pay her, how long can they stay out?

Zigmanuir [339]

Answer:

5 2/3 hours

Step-by-step explanation:

We can use a ratio to solve this problem

hours over money

4.5 hours x hours

------------- = ------------

27 dollars 34 dollars

Using cross products

4.5 * 34 = 27 * x

153 =27x

Divide each side by 27

153/27 = 27x/27

5.666666 hours

3 0

3 years ago