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ozzi
3 years ago
8

Simplify the sum. (4u3 + 4u2 + 2) + (6u3 – 2u + 8)

Mathematics
1 answer:
WARRIOR [948]3 years ago
4 0

Answer: 10u3 + 4u2 - 2u + 10

Step-by-step explanation:

( 4u3 + 4u2 + 2) + ( 6u3 - 2u + 8)

opening the bracket

4u3 + 4u2 + 2 + 6u3 - 2u + 8

collecting like terms

4u3 + 6u3 + 4u2 - 2u + 2 + 8

10u3 + 4u2 - 2u + 10

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A cereal box has a height of 32 cm. The base has 160 square cm what is the volume in cubic cm of the box
ruslelena [56]
Hello There!

All you really need to do is multiply 160 with 32.

160 × 32 ≈ 5120 

5120 cm

Hope this helped!

7 0
3 years ago
Read 2 more answers
Alma invests $300 in an account that compounds interest annually. After 2 years, the balance of the account is $329.49. To the n
-Dominant- [34]

Invested amount (P) = $300.

Time in years (t) = 2 years.

Balance after 2 years (A) = $329.49.

Let us assume rate of interest = r % compounds annually.

We know, formula for compound interest

A=P(1+r)^t

Plugging values in formula, we get

329.49=300(1+r)^2

\mathrm{Divide\:both\:sides\:by\:}300

\frac{300\left(1+r\right)^2}{300}=\frac{329.49}{300}

\left(1+r\right)^2=1.0983

Taking square root on both sides, we get

1+r=\sqrt{1.0983}

\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}

1+r-1=\sqrt{1.0983}-1

r=\sqrt{1.0983}-1

r=1.048-1

r=0.048.

Converting it into percentage by multiplying by 100.

r=0.048 × 100

r  = 4.8 %

Therefore, the rate of interest on the account is 4.8% compounds annually.

5 0
3 years ago
Please help please reply
fgiga [73]

Answer:

hypotenuse:15

Step-by-step explanation:

Pythagorean Theorem is a^2 + b^2 = c^2

"a" and "b" are the legs, "c" is the hypotenuse

9^2 + 12^2 = 225

\sqrt{225\\

hypotenuse = 15

4 0
2 years ago
You roll a dice twice.<br> Find the probability of getting 3 in first throw and 5 in second throw.
Debora [2.8K]

Answer:

1/6

Step-by-step explanation:

there are 6 faces on a dice so there's a 1 in 6 chance that you would roll a 3 on your second go there is still only a 1 out of 6 chance of getting a 5 because there is still 6 numbers you could roll on.

hope this helped

8 0
2 years ago
PLZ I NEED HELP NOW!!!!!!!!!!!!!!!!!!!!
seropon [69]

Answer:

H, 20%

Step-by-step explanation:

960/4,800 = 20/100

8 0
3 years ago
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