TEST: portional Relationships - Part 1 Which table shows a proportional relationship between x and y? will give brainliest​

Answer:

Dimensions are;

2.5 inches height

Base: 10 inches by 10 inches

Max volume; 250 Sq.in

Step-by-step explanation:

Let each side of the square that's cut-off from each corner be represented by x.

This means that the base of the box will be of dimension of the side 15−2x while the height of the box will be x.

Thus;

Volume of box is:

V = (15 − 2x)(15 − 2x)x

V = (15 − 2x)²x

V = (4x² - 60x + 225)x

V = 4x³ - 60x² + 225x

Let's differentiate with respect to x to get;

dV/dx = 12x² - 120x + 225

Maximum value of x is at dV/dx = 0

12x² - 120x + 225 = 0

Using quadratic formula, we arrive at;

x = 2.5 or 7.5

Now, let's find the second derivative of the volume;

d²V/dx² = 24x - 120

Putting x = 2.5 gives;

d²V/dx² = 24(2.5) - 120

d²V/dx² = -60

Thus, V is maximum at x = 2.5, since d²V/dx² is negative

At x = 7.5;

d²V/dx² = 24(7.5) - 120

d²V/dx² = 60

Thus, V is minimum at x = 7.5, since d²V/dx² is negative

Thus,we will use x = 2.5

Maximum volume; V = (15 − 2(2.5))(15 − 2(2.5))(2.5)

V = 10 × 10 × 2.5

V = 250 Sq.inches

Dimensions are;

(15 − 2x) = 15 - 2(2.5) = 10 inches

(15 − 2x) = 15 - 2(2.5) = 10 inches

x = 2.5 inches

Answer:

The answer is zero, because the entire equation is being multiplied by zero. The only way that will give you non-zero value is if the denominator in the fraction came to zero as well, but in this case it does not.

Step-by-step explanation:

[tex]3x\frac{x - 2}{2x - 1} \\3(0)\frac{0-2}{2(0) - 1}\\0[/tex]

Answer:

y = 2

Step-by-step explanation:

6y - 5 = 7

~Add 5 to both sides

6y = 12

~Divide 6 to both sides

y = 2

Best of Luck!

Answer:

2.16

Step-by-step explanation:

6y - 5 = 7

7 + 5 = 13

6y = 13

6y/6 = 13/6

y = 2.16

Answer:

1929r9fij1j2jed8f82u2hfisj

Step-by-step explanation:

ieeidicicic8 iccuddeiwiweiod

Answer:

haha you thought

Step-by-step explanation:

you got baited kid

Answer:

14-032093ooooooo345034844939530985088888xbfb990822

Step-by-step explanation:

wakeupwakeupwakeupwakupwakeupwakeupwakeup

Answer:

-86.07

Step-by-step explanation:

Theres a negative 86 and a 7 over 100.

Answer:

-86.07

Step-by-step explanation:

Answer:

y = [tex]\frac{3}{4}[/tex] x + [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The points that are in the solution set of the given system of inequalities are (2, 0), (0, 2), and (0, 3).

a relationship between two expressions or values that are not equal to each other is called 'inequality.

To determine which point is in the solution set of the given system of inequalities, we need to check each point to see if it satisfies both inequalities.

A) (2, 0)

Plugging in the values of x=2 and y=0 into the inequalities, we get:

2+0 ≥ 2 which is true, and

4(2)+0 ≥ -1 which is true.

Therefore, point A (2, 0) is in the solution set of the given system of inequalities.

B) (0, 2)

Plugging in the values of x=0 and y=2 into the inequalities, we get:

0+2 ≥ 2 which is true, and

4(0)+2 ≥ -1 which is true.

Therefore, point B (0, 2) is in the solution set of the given system of inequalities.

C) (0, 3)

Plugging in the values of x=0 and y=3 into the inequalities, we get:

0+3 ≥ 2 which is true, and

4(0)+3 ≥ -1 which is true.

Therefore, point C (0, 3) is in the solution set of the given system of inequalities.

D) (0, -1)

Plugging in the values of x=0 and y=-1 into the inequalities, we get:

0+(-1) ≥ 2 which is false, and

4(0)+(-1) ≥ -1 which is false.

Therefore, point D (0, -1) is not in the solution set of the given system of inequalities.

Hence, the points that are in the solution set of the given system of inequalities are (2, 0), (0, 2), and (0, 3).

To learn more on Inequality click:

https://brainly.com/question/28823603

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Which point is in the solution set of the given system of inequalities?

x+y≥2

4x+y≥-1

A-(2, 0)

B-(0, 2)

C-(0, 3)

D-(0, –1)

Answer:

200,000

Step-by-step explanation:

its easy and simple lol

Answer:219,000

Step-by-step explanation: 7 is higher than 5 so you round it positively :)

Answer:

1/9 = 0.1111111

Step-by-step explanation:

Answer:

C) [-4,0)

Step-by-step explanation:

Look at the endpoints. You have (-3,0) which isn't included in the function and you have (1,-4) which is included in the function.

We use interval notation when we are describing the subset of numbers in a function by using parentheses to show an endpoint is not included and brackets to show an endpoint is included.

In this case, since we are being asked to find the range of the function, that only pertains to y-coordinates.

Given that (1,-4) is included in the function, this means that y=-4 is included in the function. Therefore the answer's interval notation will start with a bracket to show it's included.

Given that (-3,0) isn't included in the function, this means that y=0 isn't included in the function. Therefore the answer's interval notation will end with a parenthesis to show it's not included.

Combining the two elements, we have an interval notation of [-4,0) which means C is the correct answer

Answer:

asking 10 students wearing football jerseys each day for a week

Step-by-step explanation:

if students come to school wearing a football jersey then more than likely their favorite sport is football which means that your results will not be as accurate as the others.

Answer:

109

Step-by-step explanation:

Answer:

2nd option is the correct answer

Step-by-step explanation:

[tex]m \angle 1 > m \angle 3 \: \& \: m \angle 1 > m \angle 7 \\ [/tex]

According to the Exterior Angle Theorem, the true statement should be considered as the option b.

The exterior angle theorem defined that at the time when a triangle's side should be extended, the resultant exterior angle formed should be equivalent to the sum of the measures of the two opposite interior angles of the triangle.

So based on this, we can say that the option b is correct.

learn more about an angle here: https://brainly.com/question/6150811

Answer:

The answer is A: Infectious Diseases.

Step-by-step explanation:

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

The most serious effect of water pollution for humans should be option A.  Infectious Diseases.

Infectious diseases is the disease that should be caused by the microorganism i.e. pathogenic. It involved the fungi, viruses, bacteria,etc. It should be spreaded from the environment even from person to person that leads to the illness.

So for the serious impact with respect to the water pollution it should be option A.

Learn more about disease here: https://brainly.com/question/24715222

Answer:

3.5 hours of studying to get a 75 on the exam.

Step-by-step explanation:

The y intercept in the graph is 40. This means that the constant in the linear equation is 40.

The slope of the equation is 10 because after the variable x travels one interval, the y travels 10.

To get the hours a student need to get 75 on the exam, we set the equation equal to 75.

75 = 10x + 40 where x = hours studied.

75 - 40 = 10x

x = 35/10

x = 3.5 hours

Answer:

Mode 4

Step-by-step explanation:

Mean x¯¯¯ 4.3333333333333

Median x˜ 4

Mode 4

Range 7

Minimum 2

Maximum 9

Count n 6

Sum 26

Quartiles Quartiles:

Q1 --> 3

Q2 --> 4

Q3 --> 4

Answer:

y= 13 is the answer for the question

Answer:

0.4

0.004

0.04

4

Step-by-step explanation:

Answer:

the 1st one is 40

the 2nd on is 1/4

the 3rd one is 4

the 4th one is 4

Step-by-step explanation:

the 1st one is 40

the 2nd on is 1/4

the 3rd one is 4

the 4th one is 4

don't completly trust me but this is what know!!

Answer:

about a half teaspoon

Step-by-step explanation:

Answer:

D

Step-by-step explanation:NOT B

The answer for your problem is D.

PLS MARK BRAINLIEST

Taking a look at the problem.  the radicals are different although thery are both the same.

We will solve this in a method of the process of elemination.

The first one is wrong because the radicals are different so NOT A

The second one is wrong because you cannot bring the 5 and 3 inside the radical still keeping it as a radical.

Answer:

i think question is not clear

Answer:

the third one.

Step-by-step explanation:

Answer:

the answer is c :)

Step-by-step explanation:

Answer:

y-coordinate is decreasing at the rate of [tex]\dfrac{1}{2}[/tex] unit/sec.

Step-by-step explanation:

Given that:

The curve of the particle [tex]x^2y = 1[/tex]

Then:

[tex]y = \dfrac{1}{x^2}[/tex]

Taking the differential of y with respect to t

[tex]\dfrac{dy}{dt}= \dfrac{dx^{-2}}{dx} * \dfrac{dx}{dt}[/tex]

[tex]= -2x^{-3} \dfrac{dx}{dt}[/tex]

At (2, 1/4)

[tex]\dfrac{dx}{dt} = 2[/tex]

This implies that:

[tex]\implies \dfrac{dy}{dt} = -\dfrac{2}{8}(2)[/tex]

[tex]\dfrac{dy}{dt} = -\dfrac{1}{2} \ \ unit/sec[/tex]

Thus, y-coordinate is decreasing at the rate of [tex]\dfrac{1}{2}[/tex] unit/sec.

Answer:

33%

Step-by-step explanation:

Answer:

50%

Step by Step explanation

first the numerator is decreased by 75% so its 0.25. the denominator is decreased by 50% so its 0.5. Then, we will divide 0.25 and 0.5 which equals 0.5. to find %, do 0.5*100 which equals 50%

b 11.4+13=24.4 and when you add 24.5 it does not equal 180

Answer: 2066

Step-by-step explanation:

first you divide 1240 by 60 to get 20.66667. you then multiply this by 100 to get 2066. this is how many people workers were there in total.