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3 years ago

explain how estimating the quotient helps you place the first digit the quotient of a division problem

Mathematics

2 answers:

kari74 [83]3 years ago

8 0

It gives you an idea of how the quotient will look in your answer

Liula [17]3 years ago

6 0

What are the different ways to divide?
You can use many different strategies to find the answer to a division problem. One strategy is to use repeated subtraction. To find 123 ÷ 36, think: How many groups of 36 are there in 123? Start with 123. Subtract 36 repeatedly. Count how many times you subtracted: 123 − 36 = 87 (1); 87 − 36 = 51 (2); 51 − 36 = 15 (3); 15 < 36. There are 3 groups of 36 in 123 with 15 left over. Therefore, 123 ÷ 36 = 3 R15.
Another strategy is to use what is sometimes called long division. The algorithm for long division is estimate, multiply, subtract, bring down, and repeat as needed. To find 123 ÷ 36, start with the estimate 120 ÷ 40 = 3. Then use this estimate to help you place the first digit in the quotient of the division algorithm.

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3 years ago

Rewrite this radicand as two factors, one of which is a perfect square.

seropon [69]

Answer:

$2 \sqrt{15}$

Step-by-step explanation:

1) rewrite 60 as it's prime factors.

$\sqrt{2 \times 2 \times 3 \times } 5$

2) group the smae prime factors into pairs.

$\sqrt{(2 \times 2)} \times 3 \times 5$

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So, therefor, the answer is option 1.

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3 years ago

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The quadratic function h(t) = -16.1? + 150 models a ball's height, in feet, over time, in seconds,

Sliva [168]

<h2>Hello!</h2>

The answer is: The first graphic representation.

We are given a quadratic equation, meaning that it could be two possible solutions for the exercise, however, we are talking about time, so we have to consider only the obtained positive values.

Let's make the equation equal to 0 in order to find the values of "t"

$h(t) = -16.1t^2 + 150$

$0=-16.1t^2+150$

$16.1t^2=150$

$t^2=\frac{150}{16.1} =9.32$

$t=+-\sqrt{9.32} =+-3.05$

$t1=3.05$

$t2=-305$

So, discarding the negative value, we can use the possitive value to find the correct graphic representation.

To find the correct graphic representation we must take into consideration the following:

- We must remember that the sign of the coefficient of the quadratic term (t^2) will define if the parabola opens downward or upward.

From the given quadratic (or parabola) equation we have:

$a=-1$

$b=0$

$c=150$

So, since the coefficient of the quadratic term is negative, the parabola opens downward.

- Since we are looking for a graphic that represents the change in height over time, we need to look for a graphic that shows only positive values for the x-axis (time)

- We are looking for a parabola which y-axis intercept is equal to 150.

Therefore, the graphic representation of the quadratic function that models a ball's height over time is the first graphic representation.

Have a nice day!

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