which of these statement is true about this graph

Answer: 22.5 hours

Step-by-step explanation:

Let t be the time taken by both of the pumps to drain the pool.

Given: Time taken by pump 1 to drain the pool alone= 9 hours.

Time taken by pump 2 to drain the pool alone= 3 hours.

If  both pumps are used​ simultaneously, then

[tex]\dfrac1t=\dfrac19+\dfrac13\\\\\Rightarrow\ \dfrac1t=\dfrac{1+3}{9}\\\\\Rightarrow\ \dfrac1t=\dfrac49\\\\\Rightarrow\ t=\dfrac94\\\\\Rightarrow\ t=2.25[/tex]

Hence, it will take 22.5 hours to drain the pool if both pumps are used​ simultaneously.

9514 1404 393

Answer:

  [tex]f(x)=\left\{\begin{array}{ccc}3&\text{for}&-5\le x < 0\\1-x&\text{for}&0<x \le 5\end{array}\right.[/tex]

Step-by-step explanation:

The left section is defined at x = -5, but not at x = 0, so the interval for that definition is -5 ≤ x < 0. The function value on that interval is constant: 3.

The right section is defined a x = 5, but not at x = 0, so the interval for that definition is 0 < x ≤ 5. That section is a straight line with a slope of -1 and a y-intercept of 1. The function value on that interval can be written -x+1.

Then the piecewise definition is ...

  f(x) = {3, for -5 ≤ x < 0; -x+1, for 0 < x ≤ 5}

Answer:

65,982

Step-by-step explanation:

Look at the attached image for the step by step solution

Answer and explanation:

First Prof. Murphy has to choose between two alternatives: gummy candy or licorice nibs

To find total choices, we only need to multiply number of sizes for each alternative and then add totals for each alternative together

So if Prof Murphy chooses gummy candy. He has sizes= 5 choices and types =3 choices, therefore he has 5×3= 15 choices for gummy candy

If he chooses licorice nibs, he has sizes = 2 choices and types= 2 choices, therefore he has 2×2= 4 choices for licorice nibs

Total choices: 15+4=19

He has 19 different options for selecting candy.

Since while selecting candy for students in his class, Professor Murphy must choose between gummy candy and licorice nibs, and gummy candy packets come in five sizes, while packets of licorice nibs come in two, and if he chooses gummy candy, he must select gummy bears, gummy worms, or gummy dinos, while if he chooses licorice nibs, he must choose between red and black, to determine how many choices does he have, the following calculation must be performed:

Therefore, he has 19 different options for selecting candy.

Learn more in https://brainly.com/question/238045

Answer:

Step-by-step explanation:

Answer:

The student with lower weight will move faster than the one with higher weight.

Step-by-step explanation:

The students are on roller skates and it is assumed that their wheels are identical. They are on a frictionless flat horizontal ground. According to Newton's Law F=ma

Mass of student 1 is 97 kg

Mass of student 2 is 61 kg

The force magnitude is assumed to be equal and acceleration is same. The student with higher weight will have lesser force exerted than the student with lighter weight.

Answer and explanation:

Decision variables are variables that are independent(indeoendent variables) and can be controlled by the decision maker. Decision variables influence outcome or result of a solution, usually denoted x in linear programming.

Decision variables above include:

Number of Aqua-Spa Produced.

* Number of Hydro-Lux Produced.

* Number of Pumps Purchased.

* Amount of Available Labor Hours.

* Amount of Available Tubing Available

Step-by-step explanation:

it either b or c hope this help

This is just a guess from doing the math, but I think the answer is -1u. Sorry if its wrong

Answer:

-5(u+1)

Step-by-step explanation:

hopefully the answer helps

Answer:

y= -3/5 x

Step-by-step explanation:

I hope this helps!!!

Answer:

It's C

Step-by-step explanation:

Step-by-step explanation:

if to apply the Piphagorean theoreme, then one of the angles is 90° (opposite to the side with the length 5):

3²+4²=5²; ⇔ 9+16=25.

Answer:

[tex]5144[/tex]

[tex]12[/tex]

Step-by-step explanation:

The function [tex]p=x^2-24x+5000[/tex] is incorrect as its roots are imaginary [tex]b^2-4ac=576-4\times 5000=-19424<0[/tex].

So, the correct function is

[tex]p=-x^2+24x+5000[/tex]

Differentiating with respect to [tex]x[/tex] we get

[tex]p'=-2x+24[/tex]

Equating with zero

[tex]0=-2x+24\\\Rightarrow x=\dfrac{24}{2}\\\Rightarrow x=12[/tex]

Double derivative of the function

[tex]p''=-2<0[/tex]

So, the function is maximum at [tex]x=12[/tex]

Maximum profit is

[tex]p=-x^2+24x+5000=-12^2+24\times 12+5000\\\Rightarrow p=5144[/tex]

The maximum profit made by the company is [tex]5144[/tex]

The number of clients required to make the maximum profit is [tex]12[/tex].

Answer: +21

Step-by-step explanation:

Based on the information given, we are informed that at first down, a football team lost 16 yd and they after two downs, the team had an overall gain of 5 yd.

The number of yards that were gained on second down can be represented by x. We can then form the question as an equation as:

x - 16 = 5

x = 5 + 16

x = 21

The team gained 21 yards.

Answer: 89,000

Step-by-step explanation:

Answer:

90,000

Step-by-step explanation:

88 = 90

Answer:

unit vector = -0.891i + 0.454j

Step-by-step explanation:

Given that;

magnitude of unit vector =

angle of 153° degrees from the x axis, with a positive y component

{ second quadrant }

so, x and y components of the vector are;

x component = 1 × cos(153°) = - 0.891

y component = 1 × sin(153°) = 0.454

⇒ -0.891i + 0.454j

Therefore, unit vector = -0.891i + 0.454j

Answer:

g = 5/59

Step-by-step explanation:

Answer:

E  on Edge

Step-by-step explanation:

Answer:

A. 118 + s = 764

Step-by-step explanation:

I hope this could help :)

Answer:

904.9 feet per minute

Step-by-step explanation:

The Angular distance can be calculated using below expression

S= r θ ..............eqn(1)

Where

θ = angular distance travelled

r= Radius= radius of 18 feet

But angular distance can also be expressed as

θ = wt...................eqn(2)

w= angular speed= 8 rev per minute= (8 × 2π)

t= time

Velocity can also be expressed as

V= s/t............eqn(3)

Where

V= velocity

s= distance

t= time

Substitute eqn(2) into eqn(3)

V=( r θ)/ t................eqn(4)

Substitute eqn(2) into eqn(4)

V=( r w t)/ t

V= r w ..............eqn(5)

V= 18×(8 ×2π)

=288π

= 904.9 feet per minute

Hence, the linear speed, in feet per minute, of the water. is 904.9 feet per minute

Answer:

82% of 50 is 41

Step-by-step explanation:

✧brainliest appreciated✧

Answer:

45 minutes

Step-by-step explanation:

so  1 hr= 60 minutes  so you do 3/4 x 60min which is  45 minutes. Feel Free to mark Brainliest and have a great day!

3/4 of an hour is equal to 45 minutes.

To find 3/4 of an hour, we need to multiply the value of one hour by 3/4.

One hour is equal to 60 minutes.

To calculate 3/4 of an hour:

= 3/4 x 60 minutes

= (3/4) x 60

= 45 minutes.

Therefore, 3/4 of an hour is equal to 45 minutes.

Learn more about Fraction here:

https://brainly.com/question/10354322

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Answer:irst, write the scale factor. Next, write ratios to represent the unknown actual length and width of the display to the scale length and width of the display. Then, write two proportions by setting the two length ratios equal to one another and the two width ratios equal to one another. The given unit is feet

Step-by-step explanation:

Answer:

c: car b was 10 miles east of car a

Step-by-step explanation:

Answer:

Im pretty sure its A

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

6x1/2x7

6 x 1/2=3, 3 x 7=21

I hope this helps and have a nice day!