One computer in a lab is programmed to back up data at the turn of the minute every five minutes. Another computer is programmed to back up data at the turn of the minute every two minutes. Find the number of times in twenty-four hours that the two computers back up data at the same time.

(Assume that the computers do not back up at the start of the 24-hour period.)

The values of p that satisfy the inequality for all[tex]$q > 0$[/tex] are

[tex]$p > \frac{3+\sqrt{21}}{2}$[/tex]and [tex]$p < -\frac{3+\sqrt{21}}{2}$[/tex]

Given:[tex]$$\frac{3(pq^2 p^2q 3q^2 3pq)}{p q} > 2p^2q^2$$[/tex]

Step 1: Multiply both sides by [tex]$\frac{pq}{3}$[/tex] to get: [tex]$$pq^3 p^2q 3q^2 3pq > 2p^2q^3$$[/tex]

Step 2: Simplify the left side to get: [tex]$$3p^2q^3+3pq^3+3q^2 > 2p^2q^3$$[/tex]

Step 3: Divide both sides by [tex]$q^2$[/tex] to get: [tex]$$3p^2q+3pq+3 > 2p^2$$[/tex]

Step 4: This is a quadratic inequality in[tex]$p$[/tex]with solution[tex]$p > \frac{3+\sqrt{21}}{2}$[/tex] and [tex]$p < -\frac{3+\sqrt{21}}{2}$[/tex]. Therefore, the values of p that satisfy the inequality for all  [tex]$p > \frac{3+\sqrt{21}}{2}$[/tex] and [tex]$p < -\frac{3+\sqrt{21}}{2}$[/tex]

the given inequality can be simplified to a quadratic inequality in p by multiplying both sides by[tex]$\frac{pq}{3}$[/tex], simplifying the left side, and dividing both sides by[tex]$q^2$[/tex] The solution of the quadratic inequality is

[tex]$p > \frac{3+\sqrt{21}}{2}$[/tex] and

[tex]$p < -\frac{3+\sqrt{21}}{2}$[/tex]. Therefore, the values of p that satisfy the inequality for all [tex]$q > 0$[/tex] are

[tex]$p > \frac{3+\sqrt{21}}{2}$[/tex]and

[tex]$p < -\frac{3+\sqrt{21}}{2}$[/tex], which means that any value of p that is greater than[tex]$\frac{3+\sqrt{21}}{2}$[/tex] or less than

[tex]$-\frac{3+\sqrt{21}}{2}$[/tex]will satisfy the inequality for all [tex]$q > 0$[/tex]

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Answer:

x = 78°

y = 115°

Step-by-step explanation:

So you can tell that y is 115° right off the bat because they are corresponding angles. However, you can't say that x is 102° because they are not alternate interior nor alternate exterior. Instead, you have to subtract 102, y, and 75 from 360 to get x.

360 - 115 - 65 - 102 = 78

Answer for the given problem,

a.  Percentage of 160 in number 40 is, 400%

b. The number for which 40 is 160% of that number is,  25

c.  The number which is 40% of 160 is, 64

The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use '%' symbol to represent the percentage.

Formula for percentage;

Percentage = (present quantity/whole quantity)×100

a.   present quantity = 160

     whole quantity  = 40

    Percentage = 400 %

b.  present quantity = 40

    Percentage = 160

    Whole quantity  = 25

c.   whole quantity  = 160

     Percentage = 40%

     Present quantity = 64

Hence, Answers are respectively,  400%,  25,  64

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Answer:

m = 2

Step-by-step explanation:

Slope = rise/run or (y2 - y1) / (x2 - x1)

We see the y increase by 4 and the x increase by 2, so the slope is

m = 4/2 = 2

So, m = 2

Therefore the rounded numbers are 23.54 and 0.9160.

An integer containing one or more "0"s at the end in a certain base is said to be round. In this way, 590 is more rounded than 592 but less rounded than 600. A round number is frequently understood to stand for a value or values close to the nominal value given in both formal and informal language.

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. The set of integers is frequently represented in mathematical notation by the boldface Z or blackboard bold mathbb Z.

a. To round 23.54 to five decimal places, we look at the sixth decimal place, which is 4. Since 4 is less than 5, we leave the fifth decimal place as is, and the number rounded to five decimal places is 23.54.

b. To round 0.916 to five decimal places, we look at the sixth decimal place, which is 1. Since 1 is greater than or equal to 5, we increase the fifth decimal place by one, and the number rounded to five decimal places is 0.9160.

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Answer: part A = 17 %

part b = 7

Step-by-step explanation:

for part a it is a percentage for the number 8 so you do part divided by the whole time 100 to get teh perecentagepart b is the number with the highest pick rate so it has the most likly  choice of being picked.

Answer:

1. Radius: 3 Diameter: 6 Circumference: 18.85 Area: 28.27

2. Radius: 6 Diameter: 12 Circumference: 37.7 Area: 113.1

3. Radius: 9 Diameter: 18 Circumference: 56.55 Area: 254.47

Step-by-step explanation:

Diameter is double the radius.

Circumference is: 2πr

Area is: πr²

Answer:

A

Step-by-step explanation:

since x=2 n y=1

this is proven correctly in A

g(2)=0.25(2)²

=0.25×4

=1

What are the options?

Answer:

22050 inches

Step-by-step explanation:

To find the area, multiply length times width.

90*245=22050.

So, the room is 22050 square inches.

Answer:

22050

Step-by-step explanation:

Answer:

Coming from a student, pretty dang high. Captain Marvel was boring and Black Panther wasn't all that great compared to endgame. Sure, it was good but Endgame was the ending of a legacy. All the films over the years led up to endgame.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

1A). 1² + 4²

= 1 + 16

= √17

B). 1² + 16²

= 1 + 256

= √256

= 16

C). 2² + 8²

4 + 64

= 68

= 2√16

D). 2² + 15²

= 4 + 225

= √299

Answer:

Isosceles Triangle... Btw it's worth 5 points

Answer:

2.) 48 Inches

Step-by-step explanation:

Mean = average so to find the average you add all the numbers together and divide by the number of subjects there are so -

49 + 47 + 46 + 45 + 53 = 240

240 ÷ 5 = 48 in

have a good day! :)

Answer:

number 2). 48 Inches (all crdt goes to the person who typed this first lol)

Step-by-step explanation:

Mean = average so to find the average you add all the numbers together and divide by the number of subjects there are so -

49 + 47 + 46 + 45 + 53 = 240

240 ÷ 5 = 48 in

have a good day! :3

Answer:t=-12

and if want step by step just look the equation up on the internet and it will be there step by step

Answer:

[tex]t = \dfrac{I}{Pr}[/tex]

Step-by-step explanation:

Given the equation [tex]I = Prt[/tex]:

To solve for [tex]t[/tex], all we have to do is divide both sides by [tex]Pr[/tex].

[tex]\textrm{} \ \, I = Prt\\\overline{Pr} \ \ \ \overline{\: Pr \: }[/tex]

[tex]t = \dfrac{I}{Pr}[/tex]

Text form:

t = I / Pr

Answer:

[tex]t= \frac{I}{Pt}[/tex]

Step-by-step explanation:

Given the equation,[tex]I=Prt[/tex], solve for the value, t.

[tex]I=Prt[/tex], divide both sides of the equation by [tex]Pr[/tex]. We get,

[tex]t= \frac{I}{Pr}[/tex], final answer.

Answer:

I have graphed a line with a slope of 3/5 and attached a screenshot in the explanation.

Step-by-step explanation:

Answer:7g=21

Step-by-step explanation:

Answer:

I cannot really see the q

Answer:49

Step-by-step explanation:

Answer:

1/4 > 3/16

Step-by-step explanation:

1/4 = 4/16

4/16 > 3/16

Therefor

1/4 > 3/16

Answer:

y = 4x + -9

Step-by-step explanation:

Answer:

Applied force

Step-by-step explanation:

Applied force is a force that is applied to an object by another person or object. e.g. the force applied when Kim pushes the box

Normal force is the force exerted on an object that is in contact with another object that is stable e.g.

Gravitational force is the force attracting objects of mass

Friction force is the force that opposes motion when the surface of one object comes in contact with that of another object

Answer: I believe it is 10^5

Step-by-step explanation:

Answer:

yes i believe so

Step-by-step explanation:

a rational number is a number that can be written as a fraction, and 1/10 is a fraction. hope this helps

Answer: yes.

Step-by-step explanation:

a rational number is any number which can be expressed as a fraction p/q where p and q are integers and q is not equal to zero. In this fraction both numerator and denominator are natural numbers so 1/10 is a rational number!

The following is how you can calculate quantity of seed:

Sowing rate (kg/ha) = target plant population (p/m2) x TGW (g) x 100. % germination x % emergence.

The quantity of seed necessary for a unit area of land to successfully grow any crop is known as Sowing rate. In other words, the Sowing rate for that crop of the land refers to the quantity of seed needed to successfully raise a crop on a given piece of land. The Sowing rate, on the other hand, refers to the quantity of seed needed to cover a given area of land.

Goals in calculating the Sowing rate:

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