T varies directly as the square of P and inversely as Z and T=12 when P=3 and Z=6

5. Using k as the constant of variation, which of the following is the equation of variation?
A. T=
\frac{kp {}^{2} }{z}
z
kp
2

​

B. T=
kpz {}^{2}kpz
2

C. T=
\frac{kz}{p {}^{2} }
p
2

kz
​

D. T=
\frac{pz {}^{2} }{k}
k
pz
2

​


6. Which of the following is the value of the variation constant:
A. 6
B. 8
C. 10
D. 12

7. Which of the following is twice the value of T when P=9 and Z=6?
A. 108
B. 216
C. 54
D. 36
​

Answer:

3

Step-by-step explanation:

2 plus 1 is 3

Answer:

7

Step-by-step explanation:

Can I have Brainliest please?

A.True

True hai

mujhe brainliest mark karde agar nahi kiya toh tujhe report kardunga

Answer:

Step-by-step explanation:

Answer:

1.486m/s

Step-by-step explanation:

The rate of change is defined as the change in distance divided by the change in time

Rate = ∆distance/∆time

Distance = 16.5 and 5.5

Time = 10.9 and 3.5

When we put this into the formula above, we have:

Rate of change = 16.5 - 5.5 / 10.9 - 3.5

= 11/7.4

= 1.486m/s

The constant rate of change has been calculated to be equal to 1.486m/s

You can use the fact that the rate of the change of a value when some other independent value changes is the ratio of change in the dependent variable to the change in the independent variable.

The constant rate of the current is given by 1.4865 meters per second.

Suppose that we have to measure the rate of change of y as x changes, then we have:

[tex]Rate = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]

where we have

[tex]\rm when \: x=x_1, y = y_1\\when\: x = x_2, y= y_2[/tex]

Remember that, we divide by the change in independent variable so that we get some idea of how much the dependent quantity changes as we change the independent quantity by 1 unit.

(5 change per 3 unit can be rewritten as 5/3 change per 1 unit)

The distance traveled by the tracker depends on the time passed.

Let the variable "t" tracks the amount of time passed and let the variable "d" tracks the distance traveled by the tracker, then we have:

[tex]\rm At \: t = t_1 = 3.5, d=d_1 = 5.5 \: m\\At \: t = t_2 = 10.9, d = d_2 = 16.5 \: m[/tex]

Thus, the constant rate of current is obtained by

[tex]Rate = \dfrac{d_2 - d_1}{t_2 - t_1} = \dfrac{16.5 - 5.5}{10.9 - 3.5} = \dfrac{11}{7.4} \\\\Rate \approx 1.4865 \: \text{meters per second}[/tex]

Thus,

The constant rate of the current is given by 1.4865 meters per second.

Learn more about rate of change here:

https://brainly.com/question/2460159

Answer:

Step-by-step explanation:

[tex]t^2 \dfrac{dy}{dt}+ y^2 = ty \\ \\ t^2 \dfrac{dy}{dt}-ty = -y^2[/tex]

[tex]\text{by dividing both sides by }{y^2},\text{ we have:}[/tex]

[tex]\dfrac{t^2}{y^2}\dfrac{dy}{dt}- \dfrac{ty}{y^2}= -1[/tex]

[tex]\dfrac{t^2}{y^2}\dfrac{dy}{dt}- t\dfrac{1}{y}= -1[/tex]

[tex]\text{by dividing both sides by }t^2; \text{we have;}[/tex]

[tex]\dfrac{1}{y^2}\dfrac{dy}{dt}- \dfrac{1}{t}\dfrac{1}{y}= -\dfrac{1}{t^2}--- (i)[/tex]

[tex]Let \ v = \dfrac{1}{y}[/tex]

[tex]\dfrac{dv}{dt}= -\dfrac{1}{y^2}\dfrac{dy}{dt}[/tex]

[tex]-\dfrac{dv}{dt}= \dfrac{1}{y^2}\dfrac{dy}{dt}[/tex]

[tex]\text{replace in equation (1); we have}[/tex]

[tex]- \dfrac{dv}{dt}-\dfrac{1}{t}v = -\dfrac{1}{t^2}[/tex]

[tex]- \Big ( \dfrac{dv}{dt}+ \dfrac{1}{t}v \Big) = -\dfrac{1}{t^2}[/tex]

[tex]\dfrac{dv}{dt}+\dfrac{1}{t}v = \dfrac{1}{t^2}[/tex]

[tex]\text{relating above with} \dfrac{dv}{dt}+ P(t) v = Q(t) \text{, we have:}[/tex]

[tex]P(t) = \dfrac{1}{t} \ \ \ , \ \ \ \ Q(t) = \dfrac{1}{t^2}[/tex]

[tex]\mu (t) = e^{\int P(t) \ dt }= e ^{\int \dfrac{1}{t} \ dt}= e^{In|t|}= t[/tex]

[tex]v\mu(t) = \int \mu(t) Q(t) dt + C[/tex]

[tex]vt = \int (t) (\dfrac{1}{t^2})dt + C[/tex]

[tex]vt = \int \dfrac{1}{t}dt + C[/tex]

[tex]vt = Int+C[/tex]

[tex]v = \dfrac{In \ t + C}{t}[/tex]

[tex]\text{substitute } v = \dfrac{1}{y}}, we \ get}[/tex]

[tex]\dfrac{1}{y}=\dfrac{In \ t +C}{t}[/tex]

[tex]\mathbf{y = \dfrac{t}{In \ t + C}}[/tex]

Answer:

1932

Step-by-step explanation:

Answer:

1932

...................

Answer:

angle 1 (the last option)

Step-by-step explanation:

hope this helps!

Answer:

33-11

48-26

Alice’s age (a) = Martha’s age (m) + 22

Step-by-step explanation:

In order to find the blank spots you would need to find the difference in the filled spots. We are trying to figure out the difference which is subtraction.

28 - 6 = 22

To make sure we are correct we would do another problem.

37 - 15 = 22

So in order to find Martha's age when Alice was 33, we would subract 22.

33 - 22 = 11

Same when Alice was 48.

48 - 22 = 26

And the last equation is asking the difference between them, which would be 22.

Answer: 11 and 26

Step-by-step explanation:

hope this helps :)

Answer:

1.+25

2 -6

3 +6

4.

5. 0

Step-by-step explanation:

Sana Makatulong

Answer:

.4521

Step-by-step explanation:

when converting a percentage to a decimal you have to move the decimal point over two times to the left. do if you have 100% you moved the decimal point over two and get 1.00

Answer:

0.4521

Step-by-step explanation:

Instead, you can simply multiply a number by 45.21 as a decimal to get the answer.

45.21 percent means 45.21 per hundred. Therefore, to get 45.21 as a decimal, all you have to do is divide 45.21 by 100 like so:

45.21 ÷ 100 = 0.4521

Shortcut: When you divide anything by 100, just move the decimal point two places to the left.

Normally, to calculate 45.21 percent, you would multiply a number by 45.21 percent and then you would take the product of that and divide it by 100 to get the answer.

(hope this helps can i plz have brainlist :D hehe)

Answer:

x = 3

Step-by-step explanation:

[tex] {6x}^{2} + -15x + 18x -45[/tex]

hope that helped:)

Step-by-step explanation:

=(3x+9)(2x-5)

=3x(2x-5)+9(2x-5)

=6x²-15x+18x-45

=6x²+3x-45

hope it helps.

Answer:

Step-by-step explanation:

5(m-3)≥7m-2.4

5m-15≥7m-2.4

2m≤-12.6

m≤-6.1

Answer:

m>6.3

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

Plug in 5 as a into the expression:

a² + 6

(5)² + 6

25 + 6

= 31

So, the answer is 31 when a = 5

substitute a=5 into the equation.

5²+6

25+6=31

hope that helps^^

is it multipuction then do that the rest

The correct statement for the equation of the line is the line passes through the ordered pair (0,5) and has a slope of 3.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Compare the given equation of the line y = 3x + 5 with the general equation.

y = mx + c

y = 3x + 5

The slope, m = 3

y-intercept = 5

To know more about an equation of the line follow

https://brainly.com/question/18831322

#SPJ2

Answer:

c vbnnbvgh3456789okjhgc

Step-by-step explanation:

Answer:

the difference between |-3| and -3 is -3 because |-3| is actually 3... when a negative number is one these lines | | such as |-3| it becomes positive.

Step-by-step explanation:

so the difference between 3 and -3 is -3

your answer is -3

hope this helps!!!

Answer:

y=155, x=65

Step-by-step explanation:

y+25=180

y=155

y=90+x

155=90+x

x=65

if my answer helped please mark as brainliest.

The required measure of angles x and y are 65° and 155° respectively.

Following the given figure, to determine the value of y and x.

In the figure angles y and 25° are supplementary angles, while x, 90°, and 25° are the angles of a triangle.

To determine y, follow the property of supplementary angle:

y + 25 = 180
y = 180 - 25
y = 155°

To determine x, follow the property of the triangle,
x + 90 + 25 = 180
x = 90 - 25
x = 65

Thus, the required measure of angles x and y are 65° and 155° respectively.

Learn more about angles here:

https://brainly.com/question/10649695

#SPJ6

Answer:

21

Step-by-step explanation:

(9x2 + 6x – 7) + (-9x - 5) = 21

Answer:

The answer is 21

Step-by-step explanation:

I searched it up.

Answer:

thanks very much I really appreciate your kindness

Answer:

No, David's answer does not seem reasonable.

Let x= original purchase amount

25x = $10.25, so solve for x by dividing both sides by .25, and you get x = $41.

If the shirt was $18, the shorts must have been $41-$18 = $23 NOT $41.

Step-by-step explanation:

Answer:

Lifetimes=17,698.39

Step-by-step explanation:

The number of hours, H, in the employee's lifetime is

H=24(365)(71)=621960

At 13/hour, this is lifetime wages of

13(621960)=8,085,480

Divide this into 143,100,000,000 to get

Lifetimes=17,698.39

Note that this does NOT imply that the employee is underpaid.

Answer:

Step-by-step explanation:

Surface area is:

Substitute x:

Answer:

41 is my geuss

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

There are 9 total outcomes, and 3 are favorable, or are two of the same color in a row. 3/9 simplifies to 1/3. Hope this helps!

Answer:

9 and 27

Step-by-step explanation:

Let the smaller number be x.

The larger of two numbers is three times the smaller.

Larger number = 3x

ATQ,

x+3x = 36

4x = 36

x = 9

Smaller number = 9

Larger number = 3x = 3(9) = 27

So, the numbers are 9 and 27.

Answer:

2. 2 and 3

Step-by-step explanation:

15 ÷ 6 = ?

15 ÷ 6 = 2.5

2, 2.5 , 3