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3 years ago

Simplify the expression and explain each step 1/3 x q x 3

Mathematics

1 answer:

Ymorist [56]3 years ago

8 0

Answer:

Step-by-step explanation:

Answer= 1/3×q×3

= 1/3×3×q

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Write an equation in slope-intercept form for the line that has the given slope and

Sauron [17]

Answer:

P(1,2) m = 3 Since you are given a point and a slope, use the point-slope form for the equation of a line: y - y1 = m(x - x1)

y - 2 = 3(x - 1)

y - 2 = 3x - 3

y = 3x - 1 hope this helps

Step-by-step explanation:

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3 years ago

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Four members of a relay team evenly split the distance of a race. Each person ran more than 100 meters. Which inequality can be

sergejj [24]

Answer:

The total distance the group ran can be represented by d > 400 m

Step-by-step explanation:

The total distance the group ran can be got by summing up all the individual distances ran by each athlete.

Let the distance the first athlete ran be x

from the question, we know that x >100 m

since all four athletes ran the same distance, the total distance run , d will be four times the distance ran by an athlete.

d > 4 X 100

d > 400 m

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4 years ago

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Simplify completely the quantity 14 times x to the 5th power times y to the 4th power plus 21 times x to the third power times y

timofeeve [1]

We have to simplify the given expression:

$\frac{14x^5y^4+21x^3y^2}{7x^3y}$

Dividing the terms of the numerator by the given term of denominator individually, we get

= $\frac{14x^5y^4}{7x^3y}+\frac{21x^3y^2}{7x^3y}$

By using the laws of exponent, $a^m \div a^n = a^{m-n}$ , we get

= $\frac{7 \times 2 x^5y^4} {7x^3y} + \frac{7 \times 3 x^3y^2}{7x^3y}$

= $\frac{2 x^5y^4} {x^3y} + \frac{3 x^3y^2}{x^3y}$

= ${2 x^{5-3}y^{4-1}} + 3 y^{2-1}$

= ${2 x^{2}y^{3}} + 3 y$

Therefore, the simplification of the given expression is ${2 x^{2}y^{3}} + 3 y$ .

So, Option 3 is the correct answer.

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3 years ago

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A hypothetical cube grows so that the length of its sides are increasing at a rate of 2 m/min. How fast is the volume of the cub

Karolina [17]

Answer:

In a min the volume increased by 296m^3

Step-by-step explanation:

Volume of cube = v^3

At 8m = V = 8*8*8 = 512

Since it's growing at 2m/min

The previous volume A min ago would have been

8m - 2m = 6m

V = 6*6*6 = 216

So in a minute, the volume had gone from 216 to 512

The speed = 512 - 216 = 296

So it's volume increased by 296 in a min.

Just for future clarification.

(2 min ago the volume would have been.

8m - (2*2)m = 4

V 2min ago = 4*4*4 = 64.

At 2mins ago the volume changed by 216 - 64 = 152.

So this is what the volume looked like Each minute

0, 8, 64, 216, 512, 1000.)

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3 years ago

Please help on this one

galina1969 [7]

About 25 animals were going towards the river

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4 years ago

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