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2 years ago

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The area of the rectangular computer chip is 112a3b2 square microns. Write a simplified expression that represents the length. T

he length is ? microns.

1 answer:

andreev551 [17]2 years ago

7 0

Question:

The area of a rectangular computer chip is 112a^3b^2 square microns. Write a simplified expression that represents the length, if the width is 8ab

Answer:

$Length = 14a^2b$

Step-by-step explanation:

Given

$Area = 112a^3b^2$

$Width = 8ab$

Required

Determine the height

Area is calculated as:

$Area = Length * Width$

Make Length the subject

$Length = \frac{Area}{Width}$

$Length = \frac{112a^3b^2}{8ab}$

$Length = \frac{14a^3b^2}{ab}$

Apply law of indices

$Length = 14a^{3-1}b^{2-1}$

$Length = 14a^2b$

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Why is it important to know the relationships between categorical variables?

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Answer: it is important to know the relationships between both to make sure you will use the correct way to use each and to explain a problem.

Step-by-step explanation:

A pie chart or bar graph might be used to display the distribution of a categorical variable while a boxplot or histogram might be used to picture the distribution of a measurement variable.

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3 years ago

Which is traveling faster, a car whose velocity vector is 201 + 25), or a car whose velocity vector is 30i, assuming that the un

Snowcat [4.5K]

Answer:

2nd car is running faster than the first car by 2.01 units.

Step-by-step explanation:

Let's assume that

the velocity of first car,

$v_1\ =\ 20i\ +\ 25j$

and the velocity of second car

$v_2\ =\ 30i$

=> speed of first car,

$u_1\ =\ \sqrt{(20)^2+(25)^2}$

$=\ \sqrt{400+625}$

$=\ \sqrt{1025}$

= 32.01 units

and speed of second car,

$u_2\ =\ \sqrt{(30)^2+(0)^2}$

= 30 units

$u_2\ -\ u_1\ =\ 32.01\ -30$

= 2.01 units

Hence, 2nd car is running faster than the first car by 2.01 units.

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3 years ago

What expression could be used to determine the product of -4 and 3 1/4

nikdorinn [45]

-4*3 1/4 would be and expression you can use

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2 years ago

Read 2 more answers

60 is what percent of 48?

Yakvenalex [24]

Answer:

80%

Inverted = 125%

Step-by-step explanation:

Simplify the fraction to the most simpliest number, which is 4/5. 4/5 = 80%.

If it’s inverted (as in 60/48), the most simpliest number is 5/4. 5/4 = 125%.

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3 years ago

Read 2 more answers

A person wants to create a vegetable garden and keeps the rabbits out by enclosing it with 100 feet of fencing. The area of the

alekssr [168]

Answer:

The garden can not have area of 700ft^2

Step-by-step explanation:

We are given equation for area as

$A(w)=w\times (50-w)$

where

w is the width (in feet) of the garden

now, we are given area =700 ft^2

so, we can set area =700

and then we can solve for w

$w\times (50-w)=700$

$50w-w^2=700$

$-w^2+50w-700=0$

now, we can use quadratic formula

$ax^2+bx+c=0$

$w=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

we can compare and find a,b, and c

a=-1 , b=50 , c=-700

now, we can plug values

$w=\frac{-50\pm \sqrt{50^2-4\left(-1\right)\left(-700\right)}}{2\left(-1\right)}$

$w=25-5\sqrt{3}i,\:w=25+5\sqrt{3}i$

We can see that values of w is not real

so, w does not exists when area =700

so, The garden can not have area of 700ft^2

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3 years ago