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

Answers

Answer 1

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:

[tex]Length = 14a^2b[/tex]

Step-by-step explanation:

Given

[tex]Area = 112a^3b^2[/tex]

[tex]Width = 8ab[/tex]

Required

Determine the height

Area is calculated as:

[tex]Area = Length * Width[/tex]

Make Length the subject

[tex]Length = \frac{Area}{Width}[/tex]

[tex]Length = \frac{112a^3b^2}{8ab}[/tex]

[tex]Length = \frac{14a^3b^2}{ab}[/tex]

Apply law of indices

[tex]Length = 14a^{3-1}b^{2-1}[/tex]

[tex]Length = 14a^2b[/tex]


Related Questions

Help please

Find the value of x when y=0. x + 4 = y

Answers

Answer: x = -4

Step-by-step explanation:

-4 + 4 = 0

if  y = 0 then X will be -4

Answer:

hello

Step-by-step explanation:

answer is x=-4

because if we add

4-4=0

x+4=0

-4+4=0

PLEASE GEOMETRY HELP WILL MARK BRAINLIEST!!!

Answers

13/2, 6 should be the answer

The points (4, -6) and (r, 6) lie on a line with slope 3. Find the missing coordinate r.

Answers

Answer:

r = 8

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to 3

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (4, - 6) and (x₂, y₂ ) = (r, 6)

m = [tex]\frac{6+6}{r-4}[/tex] = [tex]\frac{12}{r-4}[/tex] , then

[tex]\frac{12}{r-4}[/tex] = 3 ( multiply both sides by (r - 4))

12 = 3(r - 4) ← divide both sides by 3

4 = r - 4 ( add 4 to both sides )

8 = r

What is x if
f(x) = -2?

Answers

Answer:

The answer is 2 or 2x

Step-by-step explanation:

Hope this helps!!

HELPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1

Answers

Answer:

1. +25

2. +14

3. -10

4. -3

5. +2

Step-by-step explanation:

I hope these help , please tell me if i got any incorrect or misunderstood!

helppp
What is the equation of the line that passes through the point (-4,4) and has a
slope of 3/4 ?

Answers

Answer:

y = 3/4x + 7

Step-by-step explanation:

Put it in point-slope form:

y - 4 = 3/4(x - -4)

y - 4 = 3/4(x + 4)

y - 4 =3/4x + 3

y = 3/4x + 7

I really need help please!

Answers

As we know that angle of semi circle is 180°.

Here,

FLG = 40°

GLH = ?

HLJ = 60°

FLG + GLH + HLG = 180°

40° + GLH + 60° = 180°

GLH + 100° = 180°

GLH = 180° - 100°

GLH = 80°

Now,

FLH = 40° + 80° = 120°

[tex] \sf \: Length \: of \: an \: arc \: of \: GHF = \dfrac{ \theta}{360} \times 2 \pi \: r[/tex]

[tex] = \dfrac {120}{360} \times 2 \times \dfrac{22}{7} \times r[/tex]

[tex] = \frac{1}{3} \times \frac{44}{7} \times r[/tex]

[tex] = \frac{44}{21} \times r[/tex]

[tex] = 2.09r[/tex]

Help me out , I’ll appreciate it !

Answers

Answer:

(a) Infinite

(b) 6 (because a to z contains 26 letters so we can only take 26 letters or less otherwise the letter can be repeated so we have to take the num which is coming in table of 4 so 24then we can make 6passwords)

THANK you

If you helped with my answer pls tag me brianliest....

multiples of 7 between 50 and 80​

Answers

Answer:

Step-by-step explanation:

7, 14, 21, 28, 35, 42, 49, 56, 63, 70, ... 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, ... 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, ... 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, ...

Could someone pleaseeeeee help on this giving brainest!!!!

Answers

dont click or go on that link

Choose Yes or No to tell whether the symbol will be reversed when the variable is isolated in each inequality.

Answers

Answer:

1. No

2. No

3. Yes

4. Yes

Step-by-step explanation:

Any time you multiply/divide both sides with a negative the inequality will be reversed!

Answer:

c and d

Step-by-step explanation:

Help me please I don’t have a lot of time please.

Answers

A is your answer. The box is your IQR of 5-8.5, your median is 7, and your range is 2-10

A swimming pool is treated periodically to control harmful bacteria growth.
The concentration of bacterial per cm³ after t days is given by
C(t)
[tex] = 30t^2 -240t + 500 [/tex]
in how many days after a treatment will be concentration be minimal ?

Answers

Answer:

The answer is 4

Step-by-step explanation:

[tex]c \: (t) = {30ft}^{2} = - 240t + 500[/tex]

For a quadratic function as given to find the minimum you need to write it in vertex or find the vertex (the vertex in a quadratic function is thr maximum or minimum).

Use the next formula to find the t coordinate of the vertex (the time in the minimum concentration of bateria):

[tex]c \: (t) = {at}^{2} + bt + c \\ \\ tm = - \frac{b}{2a} [/tex]

For the given function:

[tex]tm = - \frac{ - 240}{(2)30} = \frac{240}{60} = 4[/tex]

The minimum concentration of bacteria will be after 4 days.

30 = 6y

A)y= 5

B)y = 6

C)y = 180

D)y = 10

Answers

Answer:

A) y = 5

Step-by-step explanation:

30 / 6 = 5

y = 5

Hope this helps! Have a nice day! Plz mark as brainliest!!!

-XxDeathshotxX

It’s A because 6*5=30 and divided 30 by 6 it equals 5

*ANSWER ASAP* Earth has a diameter of approximately 7926 miles. Determine the volume of Earth.

Answers

Answer:

Rounding to the nearest whole number, 49 moons can fit in the earth.

Rounding to the tenth place, 50 moons can fit in the earth.

Step-by-step explanation:

To find how approximately how many moons could fit inside the earth, you would need yo find the volumes the earth and the moon.

V = 4/3 π r^3

Earth:

d = 2r

d = 7926 miles

7926 = 2r

3963 miles = r

V = 4/3 π (3963)^3

V = 4/3 π (62240377347)

V = 82987169796π cubic miles

Moon:

d = 2r

d = 2159 miles

2159 = 2r

1079.5 miles = r

V = 4/3 π (1079.5)^3

V = 4/3 π (1257963209.88)

V = 1677284279.83π cubic miles

Now you divide the volume of earth by the volume of moon to find how many moons can fit in earth

82987169796π ÷ 1677284279.83π =

approx 49

12 = x +24/8
I really need help with this

Answers

Answer:

x = 9

Step-by-step explanation:

24 divided by 8 is equal to 3.

12 = x + 3 (subtract three from both sides)

9 = x

9 is the correct answer

if joe drops 1lb. a week for 4 months,how much weig ht will he lose​

Answers

Answer: 120 pounds

Step-by-step explanation: 30 days in a month so times that by 4 months

Answer:

12

Step-by-step explanation:

Given right triangle HJK, which of the
following ratios is equivalent to cosH?

Answers

Answer:

cosH = JH/KH

Step-by-step explanation:

coa refers to base by hypotenuse

for H,

the base is JH and the hypotenuse is KH.

In the given right angled triangle cos H is equivalent to sin K

What is right angled triangle?

A triangle in which one of the interior angles is 90° is called a right triangle

Here,

Cos H =  Adjacent side / Hypotenuse = [tex]\frac{JH}{KH}[/tex]

In the given option

sin K = Opposite side / Hypotenuse[tex]=\frac{JH}{KH}[/tex]

Therefore Cos H is equivalent to the sin K

Hence, sin K is equivalent to the cos H

Learn more about right angled triangle here

https://brainly.com/question/3770177

#SPJ2

POSSIBLE POINTS: 5 Jason wants to buy a car. He has $2500 in his savings account. He also needs to pay $600 for insurance. How much can Jason spend on a car?

Answers

Answer:

1900

Step-by-step explanation:

Jason wants to buy a car

He has $2500 in his savings account

He also needs $600 to pay for insurance

Therefore the amount he can pay for the car can be calculated as follows

= 2500-600

= 1900

Q7: Subtract

(a) -6x – 3 from 2x – 5,

(b) 6x – y + 5z from 10x – 2y + z,

(c) 8p + 99 – 5rs from 4p – 49 + 15sr,

(d) 8a – 3b + 50 – 4d from 10a – b - 40 - 8d.​

Answers

Here is your answer

write (3a^3)^2 without exponents

Answers

Answer:

9 x a x a x a x a x a x a

Step-by-step explanation:

[tex](3a^{3})^{2} = 9a^{6} \\[/tex]  Here, we use the law of indices. Everything inside the bracket has to be squared, so 3^2 = 9 and (a^3)^2 = a^6 We use the rule of when one power is within a bracket and one outside, we multiply the two powers together instead of adding.

3^2 can be simplified to 9 as this is simply 3 x 3, but a^6 (this is still a value with an exponent) cannot be simplified so we break this down into the notation of a x a x a x a x a x a

Therefore 9 x a x a x a x a x a x a is the answer.

I hope this helps you!! ^-^

The expansion of (3a³)² without exponents will be 9 x a x a x a x a x a x a.

What is expansion?

Expanded form is the term used in mathematics to refer to the process of expanding a number to convey the value of every digit and place value.

When a mathematical object is increased by a multiplier that is bigger in actual values than one, an expansion follows.

In another word, if you solve a factor by opening the bracket then you will go to get on some expanded term called expansion.

In mathematics, all real-life problems can be converted into equations which are sometimes in form of factors and we need to expand them to create solutions.

Given the expression,

(3a³)²

By the law of indices

(3a³)² = 3²(a³)²

(3a³)² = 9a⁶

But we cannot write it in exponent form

So,

9a⁶ = 9 × a x a x a x a x a x a.

Hence "The expansion of (3a³)² without exponents will be 9 x a x a x a x a x a x a".

For more information about the expansion,

brainly.com/question/14447197

#SPJ2

What are the coordinates of each point after quadrilateral EFGH is translated 3 units right and 2 units down? Drag numbers to complete the coordinates. Numbers may be used once, more than once, or not at all.

Answers

Answer:

E'(-2, -3), F'(-1, -5), G'(1, -5) and H'(2, -3).

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

If a point A(x, y) is translated a units right and b units down, the new location of the point is at A'(x + a, y - b)

The location of the vertices of quadrilateral EFGH is E(-5, -1), F(-4, -3), G(-2, -3) and H(-1, -1). If quadrilateral EFGH is translated 3 units right and 2 units down, the new location would be:

E'(-2, -3), F'(-1, -5), G'(1, -5) and H'(2, -3).

At an ice cream social, 56 people ordered chocolate ice cream while 32 people ordered vanilla
ice cream.
(a) What is the ratio of the number of people
who ordered chocolate to the number of
people who ordered vanilla in simplest
terms?
(b) At a different event, 42 people bought
chocolate and 30 bought vanilla. Does
this event have the same
chocolate to vanilla purchases as the ice
cream social from (a)? Justify.
ratio of

Answers

a) 56:32
= 7:4 (simplified)

Find the LARGEST of three consecutive numbers if their sum is 105

Answers

Answer:

36

Step-by-step explanation:

devide 105 by 3 then add one 34+35+36=105

Answer:

It's 37 because the three are 33, 35, and 37. 37 is the largest of all of them.

Step-by-step explanation:

105/3 = 35, therefore the middle number is 35, and the 3 numbers are 33, 35, and 37.

Logan collected pledges for the charity walk-a-thon. He is receiving total contributions of $65 plus $20 for every mile he walks. How many miles will Logan need to walk in order to receive $325?

Answers

Answer:

Number of miles= 13

Step-by-step explanation:

Giving the following information:

He is receiving total contributions of $65 plus $20 for every mile he walks.

To calculate the number of miles to reach $325, we need to use the following formula:

Total collection= fixed contribution + variable contribution per mile*number of miles

325= 65 + 20*number of miles

260/20 = number of miles

number of miles= 13

Ben earned $ 400 mowing lawns this month. Of his earnings, he plans to spend 18% repairing
lawn equipment, deposit 20% in his savings, and use 35% for clothes. He will spend the rest.
How much will Ben have left to spend Show your work. help ill mark brainlessly

Answers

Answer:

K 110

Step-by-step explanation:

Find the amount to be spent for each item/service

18% of $400= $72

20% of $400= $80

35% of $400= $140

Now, add all his expenditures and subtract it from his income

$400 - ($72+$80+$140) = $400 - $290 = $110

(-8,-2);m=3/4 in point slope form

Answers

Answer:

         y + 2 = ³/₄(x + 8)

Step-by-step explanation:

The point-slope form of the equation that describes the line with a slope of m and containing the point (x₀, y₀) is: y - y₀ = m(x - x₀)

m = ³/₄

(-8, -2)  ⇒    x₀ = -8,  y₀ = -2

Therefore:

y - (-2) = ³/₄(x - (-8))

y + 2 = ³/₄(x + 8)

Work out
55
% of
2900

Answers

change 55% to 0.55
0.55 x 2900 = 1595
55% of 2,900 will be 1595

Jenna wants to wrap a shipping box shaped like a rectangular prism. The box is 22 inches tall and has a square base with sides that each measure 3 inches. How much paper will she​ use?

Answers

Answer: [tex]282\ in.^2[/tex]

Step-by-step explanation:

Given

dimension of box are

[tex]h=22\ in.\\[/tex]

Square base length is [tex]l=3\ in.[/tex]

[tex]\therefore w=3\ in.[/tex]

The surface area of a rectangular prism is

[tex]S.A.=2[lb+bh+hl][/tex]

The paper area must be equal to the surface area of the prism

[tex]S.A.=2[22\times 3+3\times3 +3\times 22]\\S.A.=2\times 141=282\ in.^2[/tex]

Find the probability of drawing a Club 2 through 6 on the first draw, replacing it and
drawing a black card on the second draw.

Answers

Answer:

= 0.0471 or 4.71%

Step-by-step explanation:

(5/52) x (25/51)

= 0.04713423831

4.71% this is your answer hope it helps
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