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notsponge [240]
3 years ago
15

Write .125 as a fraction reduced to lowest terms.

Mathematics
1 answer:
Gekata [30.6K]3 years ago
3 0

Answer:

<em><u>125 as a fraction is 1/8.</u></em>

<u>0.125 = 125/1000. We can reduce this to lowest terms by dividing the numerator and denominator by 125 to get the equivalent fraction 1/8.</u>

Step-by-step explanation:

hey mate hope it cleared your problem!!

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A bag contains two red marbles, four green ones, one lavender one, four yellows, and six orange marbles. HINT [See Example 7.] H
Rama09 [41]

Answer:

192

Step-by-step explanation:

There are a total of 15 marbles . When the lavender is left out 14 remain.

Using combinations we find that each of the four color marbles can be chosen in the following way.

2C1*4C1*4C1*6C1= 2*4*4*6=  192

We select  one of the two red marbles , one of the four green marbles, one of the four yellow marbles, one of the 6 orange marbles leaving the lavender out.. We apply combinations and then multiply to get the answer.

6 0
3 years ago
The position of a ball after it is kicked can be determined by using the function f left parenthesis x right parenthesis equals
Citrus2011 [14]

Answer:

When kicked, the height of the ball is 1 feet. The highest point for the ball's trajectory is 12 feet.

Step-by-step explanation:

We are given that the height is given by f(x)=-0.11x^2+2.2x+1. The distance between the ball to the point where it was kicked is 0 right at the moment the ball was kicked. So, the height of the ball, when it was kicked is f(0) = -0.11*0 + 2.2*0 +1  = 1.

To determine the highest point, we will proceed as follows. Given a parabola of the form x^2+bx + c, we can complete the square by adding and substracting the factor b^2/4. So, we get that

x^2+bx+c = x^2+bx+\frac{b^2}{4} - \frac{b^2}{4} +c = (x+\frac{b}{2})^2+c-\frac{b^2}{4}.

In this scenario, the highest/lowest points is c-\frac{b^2}{4}[/tex} (It depends on the coefficient that multiplies x^2. If it is positive, then it is the lowest point, and it is the highest otherwise). Then, we can proceed as follows. [tex] f(x) = -0.11x^2+2.2x+1 = -0.11(x^2-20x)+1

We will complete the square for x^2-20x. In this case b=-20, so

f(x) = -0.11(x^2-20x+\frac{400}{4}-\frac{400}{4})+1 = -0.11(x^2-20x+100-100)+1

We can distribute -0.11 to the number -100, so we can take it out of the parenthesis, then

f(x) = -0.11(x^2-20x+100)+1+100*0.11 = -0.11(x^2-20x+100)+1+11 = -0.11(x-10)^2+12

So, the highest point in the ball's trajectory is 12 feet.

5 0
4 years ago
Read 2 more answers
Evaluate 3x+2 for x=2
mafiozo [28]

Answer:

8

Step-by-step explanation:

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7 0
3 years ago
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Vadim26 [7]

Answer:

Original Plant was 1cm and it grew 2.5 cm per week.

Step-by-step explanation:

Using the Slope Formula (y2-y1/x2-x1)we can get how many centimeters it will grow in a week.

18.5cm-8.5cm/7-3

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3 0
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denis-greek [22]

Answer:

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Step-by-step explanation:

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x = 50

8 0
2 years ago
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