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Andrews [41]
3 years ago
12

Simplify -3p 3 + 5p + (-2p 2) + (-4) - 12p + 5 - (-8p 3).

Mathematics
1 answer:
MissTica3 years ago
3 0

Answer:5p^3-2p^2-7p+1

Step-by-step explanation:

-3p^3+5p+(-2p^2)+(-4)-12p+5-(-8p^3)

open brackets

-3p^3+5p-2p^2-4-12p+5+8p^3

Collect like terms

-3p^3+8p^3-2p^2+5p-12p-4+5

5p^3-2p^2-7p+1

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A leaky faucet drips 356,755 mL of water over the course of the year. There are approximately 3,785 mL in 1 gallon. How many gal
dalvyx [7]

Gallons of water are leaked in one year is 94.253 gallons

<h3><u><em>Solution:</em></u></h3>

Given that leaky faucet drips 356,755 mL of water over the course of the year

There are approximately 3,785 mL in 1 gallon.

To find: gallons of water are leaked in one year

From given information,

Amount of water leaked in one year in ml = 356,755 mL

Also given in question that,

<h3>1 gallon = 3785 ml</h3>

1 \text{ ml} = \frac{1}{3785} \text{ gallons}

<em><u>Now we can convert 356,755 mL to gallons</u></em>

356,755 \text{ ml} = \frac{1}{3785} \times 356755 \text{ gallons}\\\\356,755 \text{ ml} = 94.253 \text{ gallons}

Thus gallons of water are leaked in one year is 94.253 gallons

6 0
3 years ago
Sole for |p+8| over 2 =5
Lubov Fominskaja [6]

Answer:

p =2                     p=-18

Step-by-step explanation:

|p+8|

-------------- = 5

2

Multiply each side by 2

|p+8|

-------------*2 = 5*2

2

|p+8|  =10

There is a positive and a negative solution

p+8=10         p+8=-10

Subtract 8 from each side

p+8-8=10-8         p+8-8=-10-8

p =2                     p=-18



7 0
3 years ago
What is the value of the fourth term in the geometric sequence
ivanzaharov [21]

Answer:

a(4) = 15/4

Step-by-step explanation:

Here we're told that the first term is a(1) = 30 and that the common factor r = 1/2.

Thus, the geometric sequence formula specific to this case is

a(n) = 30(1/:2)^(n-1).

What is the fourth term?  Let n = 4,

a(4) = 30(1/2)^(4-1), or a(4) = 30(1/2)^(3), or  a(4) = 30(1/8) = 30/8, or, in reduced form,

a(4) = 15/4.

6 0
3 years ago
Help me will give brainliest
vovangra [49]

Answer:

The first option is correct, 12/30 and 25/30

Step-by-step explanation:

To get common denominators, you need to find the GFC (greatest common factor) of 5 and 6, which is 30. Then you would need to make the fractions equal the same as the original fractions, by multiplying.

2/5 = ?/30 <- you can see that 30 is 6 times more than 5. so this means you multiply 2 by 6 to get 12. 12/30

5/6 = ?/30 <- you can see that 30 is 5 times more than 6. so this means you multiply 5 by 5 to get 25. 25/30

3 0
3 years ago
Can you Complete the table please?
Lisa [10]

Answer:


Step-by-step explanation:

Bike 12.7 percent, decreases

Scooter 24 percent, increase

Tennis racket, 82.95

Skis 452.40

5 0
3 years ago
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