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slamgirl [31]
3 years ago
6

“3 less than the quotient of y and 4”

Mathematics
1 answer:
Bingel [31]3 years ago
8 0

Answer:

Expression:

\dfrac{y}{4}-3

Value where y = 20

2

Step-by-step explanation:

Let's take a look at the sentence:

3 less than the quotient of y and 4

3 less indicates that you will subtract

   - 3

Quotient means the result of division.

\dfrac{y}{4}

So if we combine the two, it says 3 less than the quotient so we subtract 3 from the quotient:

\dfrac{y}{4}-3

So if y = 20, we just substitute the y with 20

\dfrac{y}{4}-3

\dfrac{20}{4}-3

5-3=2

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A tree DOUBLES in height each year until it reached its maximum height over the course of 10 years. How many years did it take f
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Answer:

9 years

the tree doubles in height

we can make a model

1 x 2 = 2

2 x 2 = 4

4 x 2 = 8

8 x 2 = 16

16 x 2 = 32

32 x 2 = 64

64 x 2 = 128

128 x 2 = 256

256 x 2 = 512

512 x 2 = 1024

Let's say 1024 is the maximum height

half the maximum height is 1024 x 0.5 = 512 so it will take 9 years because it reached 512 on the 9th year

Step-by-step explanation:

8 0
3 years ago
Eric starts with 10 milligrams of a radioactive substance. The amount of the
Ulleksa [173]

Answer: Eric: The 10 is the initial amount, the 1/2 is the decay factor or the rate at which it decreases, and the exponent w is the number of weeks it decreases by factor 1/2, or the time. Andrea, 1 is the initial amount, 0.2 is the decay factor or rate of decrease, w is time passed or number of weeks it's decayed by the factor.

Step-by-step explanation: Answer is explanation

5 0
3 years ago
Can someone please explain how to do these?
Pani-rosa [81]

Answer:

<u>First question answer:</u> The limit is 69

<u>Second question answer:</u> The limit is 5


Step-by-step explanation:

For the first limit, plug in x=8 in the expression (9x-3), that's the answer for linear equations and limits.

So we have:

9x-3\\9(8)-3\\72-3\\69

The answer is 69


For the second limit, if we do same thing as the first, we will get division by 0. Also indeterminate form, 0 divided by 0. Thus we would think that the limit does not exist. But if we do some algebra, we can easily simplify it and thus plug in the value x=1 into the simplified expression to get the correct answer. Shown below:

\frac{x^2+8x-9}{x^2-1}\\\frac{(x+9)(x-1)}{(x-1)(x+1)}\\\frac{x+9}{x+1}

<em>Now putting 1 in x gives us the limit:</em>

\frac{x+9}{x+1}\\\frac{1+9}{1+1}=\frac{10}{2}=5

So the answer is 5

3 0
3 years ago
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vivado [14]

it is definitely the answer B

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3 years ago
Find the volume of a cube with x+2
ikadub [295]

Answer:

x^3 + 6x^2 + 12x + 8

Step-by-step explanation:

(x+2)(x+2)(x+2)

(x^2 + 4x + 4)(x+2)

x^3 + 2x^2 + 4x^2 + 8x + 4x + 8

x^3 + 6x^2 + 12x + 8

8 0
3 years ago
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