Mathematics High School

Given that p varies directly as q and
[tex] \sqrt{q} [/tex]
varies inversely with t², show how p varies with t.​

Answers

Answer 1

Answer:

p varies inversely with t⁴

Step-by-step explanation:

Direct variation:

y = kx, where k is constant

Inverse variation:

y = k/x, where k is constant

Given:

p = kq   (1)

and

√q = k/t²    (2)

From the first equation we can see:

kq = p ⇒ q = (1/k)p ⇒ q = np, where n is a constant

It means if p varies directly as q, then q directly varies as p.

Square the second equation:

q = k²/t⁴ = m / t⁴, where m is constant

Since p varies directly as q and q varies inversely with t⁴, we can state p varies inversely with t⁴.

Related Questions

evaluate 10-(5-(4-(8-2))​

Answers

=》The answer is 3.

Steps are in the attachment.

______

Hope it helps :)) ⚜

Answer:

The answer is 3

Step-by-step explanation:

By using PEMDAS, calculate the parenthesis first.

10-(5-(4-(8-2))

10-(5-(4-6)

10-(5-(-2)

10-7

= 3

HELP ME PLEASE
A newly made car will have a model number, a parts number, and a serial number. A model number is assigned by the manufacturer to identify each type of car. A parts number identifies one part of the smaller parts that make up the car. A serial number is unique to each car produced and identifies it.

Which relation is a function? (2 points)

(parts number, serial number)
(model number, parts number)
(serial number, model number)
(serial number, part number)

Answers

Answer:

(serial number, model number)Step-by-step explanation:

the value of /14-15/ is​

Answers

1
/14-15/ is 1 as // won’t be negative as absolute value is always positive

Sofia planted a maple tree sapling that was 5.5 inches tall. The tree grew 10 inches each year. Write an equation that shows how the sapling's height in inches, y, depends on the number of years since it was planted, X. Y =​

Answers

Answer:

y= (10*x)+5.5

Step-by-step explanation:

B)

Answer:

y = 10x + 5.5

Step-by-step explanation:

We can write our equation in slope-intercept form, which looks like y = mx + b. "m" is our growth rate, and "b" is our y-intercept, or starting value.

So, let's fill in "m" first. What is our growth rate? Well, 10 inches per year. So, we can replace "m" with 10: y = 10x + b. But we have to figure out which number to replace "b" with. In this scenario, Sofia planted the maple tree when it was already 5.5 inches tall. So, when it grows 10 inches per year, the inches are being added to that original value. 5.5 is our starting value: y = 10x + 5.5. And that's our final equation.

Hopefully that's helpful! :)

Identify the mistake in the solution below and explain how
to correct it. Determine the correct answer.
Algebra
3x - 5+ 3x = x + 8-x-1
6x – 5 = 2x + 7
4x - 5 = 7
4x = 12
x = 3
Steps
original problem
combine like terms
subtract 2x from both sides
add 5 to both sides
divide both sides by 4
-

Answers

Answer:

Mistake is on second line.

x = 2

Step-by-step explanation:

The first two lines are (I added the boldface):

3x - 5 + 3x = x + 8 - x - 1

6x – 5 = 2x + 7

The first line has x and -x. They add to 0.

The second line on the right side should have just 7, but the x and -x of the first line were incorrectly added together giving 2x.

The second line should be:

6x - 5 = 7

Add 5 to both sides.

6x = 12

Divide both sides by 6.

x = 2

Write an equation representing how much Tristan paid.

After Gwen, Tristan, and Keith finish exercising, they go to the fair. At the fair, they each pay the entry fee and also buy tickets they can use for food or rides. Gwen pays the entry fee and buys 10 tickets. It costs her a total of $30. Tristan pays the entry fee and buys 15 tickets. It costs him a total of $40. Keith pays the entry fee and buys 10 tickets. It costs him a total of $30. In this task, you will create a system of equations and find the cost of each ticket. Let x represent the entry fee and y represent the cost of each ticket in dollars.

Answers

Answer:

These are the equations

Step-by-step explanation:

Gwen's equation =   x + 10y = 30

Tristan's equation=  x + 15y = 40

Keith's equation =  x + 10y = 30

7+(4x8)-9
i need help this is weird

Answers

Answer:

30

Step-by-step explanation:

7+(4*8)-9

Multiply first inside the parentheses

7+(32)-9

Then add and subtract from left to right

39 - 9

30

Answer:

If x is a variable then the answer is 4x⁸ - 2

If x is a multiplication representation then the answer is 30

Step-by-step explanation:

If x is a variable:

1) Eliminate redundant parentheses

[tex]7+(4x^{8} )-9\\7+4x^{8} -9[/tex]

2) Subtract the numbers

[tex]7+4x^{8} -9\\-2+4x^{8}[/tex]

3) Rearrange Terms

[tex]-2+4x^{8} \\4x^{8} -2[/tex]

1) Jack bought 5 basketballs for $70. What was the price per basketball?

Answers

Answer:

14

Step-by-step explanation:

70/5 = 14

you divide 70 by 5 therefore the answer is 14

Who walks at a faster rate: someone who walks 60 feet in 10 sec or someone who takes 5 sec to walk 25 feet?

Answers

Answer:

60 ft in 10 seconds.

Step-by-step explanation:

Theoretically, if the 5 second dude were to walk ten seconds, they'd only walk 50. (25 x 2 = 50, therefore 60 feet in 10 seconds is faster)

Answer:

I think it's the guy who walks 60 feet in 10 seconds

Step-by-step explanation:

Since the other guy walks 25 feet in 5 seconds, we can simply double the seconds to get 10 seconds and 50 feet.

So the first guy walks 60ft/sec and the second one walks 50 ft/sec

i may be wrong but this is my best explanation. I hope it hlps

[tex]3\frac{3}{4} +8\frac{3}{4}[/tex]

Answers

15/4+35/4
25/2
12 1/2
Hope this helped
Ok done. Thank to me:>

At the end of which day does Tyler have 2750 feet left to climb?

Answers

okay is there no graph or anything because this doesn’t make sense

Choose the best compatible numbers to find an estimated product or quotient.



2,127 ÷ 405
A. 2,100 ÷ 300 = 7
B. 2,000 ÷ 500 = 4
C. 2,400 ÷ 400 = 6
D. 2,000 ÷ 400 = 5

Answers

It would be D. Hope this helps! :)

3.) Find the mean for each data set. ROUND FINAL ANSWERS TO THE TENTHS PLACE.

Answers

Answer:

6.4

Step-by-step explanation:

5+7+7+5+7+7+6+7+7 = 58

There are 9 numbers

58 ÷ 9 = 6.444444

To the tenth = 6.4

help! QUICK! NO BOTS!

Answers

Answer:

number 2 or 4 but i think 2

Step-by-step explanation:

The formula to find the volume of a sphere is = 4 3, where is the radius of the 3
sphere. What is the formula in terms of ?

Answers

Answer:

d.

took the test

Step-by-step explanation:

Riley is saving up to buy a new television. She needs a total of $1,161.59. Riley has saved $200.39 already and earns $80.10 per week at her job. How many weeks does Riley need to work to save enough money to buy the new television?

Answers

Answer:

12 weeks

Step-by-step explanation:

I will use x to describe the amount of weeks.

200.39 (amount already have) + 80.10x (amount per week) = 1161.59 (total amount needed)

Now, just solve for x.

80.10x = 961.2

x = 12

can someone help me please.​

Answers

Answer:

B, or second answer choice

Step-by-step explanation:

y - [tex]y_{1}[/tex] = m(x - [tex]x_{1}[/tex])

y - 1/3 = 3/4 (x - 4)

B

There are 16 mangoes in a basket.They are ONLY Julie and east indian.If you take out a Julie and replace it with an east indian ,there will be an equal number of Julie and east indian mangoes.If you take you three east indian mangoes and replace them with Julie,the number of Julie will be three fi me the number of east Indians? At present there are how many east indian and Julie mangoes in the basket?​

Answers

Answer:

11 Julie's and 5 East Indians

3. A floor is 5 m long and 4 m wide. A square carpet of sides 3 m is laid on the floor. Find the area of the floor that is not carpeted.​

Answers

Answer:

Length of floor = 5 m and breadth of floor = 4 m

Area of floor = length x breadth

= 5 m x 4 m = 20 m.sq

Now, Side of square carpet = 3 m

Area of square carpet = side x side = 3 x 3 = 9 m.sq

Area of floor that is not carpeted = 20 m – 9 m = 11 m.sq

Answer:

[tex]11 {m}^{2} [/tex]

Step-by-step explanation:

First Condition:

Given ,

Length of a floor = 5 m

Width of the floor = 4 m

Therefore,

Area of the floor

= l × b

= 5m × 4m

[tex] = 20 {m}^{2} [/tex]

Second Condition:

Given,

Sides of a square carpet = 3 m

Therefore,

Area of the carpet

= s × s

= 3m × 3m

[tex] = {9m}^{2} [/tex]

At last:

Now,

Area of the floor that is not carpeted is

= Area of the floor - Area of the carpet

[tex] = {20m}^{2} - {9m}^{2} [/tex]

[tex] = 11 {m}^{2} (ans)[/tex]

Convert 1/3 to a percent

Answers

Answer:

33 1/3%

Step-by-step explanation:

           

Answer:

33.3%

Step-by-step explanation:

We can also work this out in a simpler way by first converting the fraction 1/3 to a decimal. To do that, we simply divide the numerator by the denominator:

1/3 = 0.33333333333333

Once we have the answer to that division, we can multiply the answer by 100 to make it a percentage:

0.33333333333333 x 100 = 33.3333%

(Hope this helps can I pls have brainlist (crown)☺️)

There are 75 new houses being built in a neighborhood. Last month, 2/5 of them were sold. This month,1/3 of the remaining houses were sold. How many houses are left to be sold? ​

Answers

You start with 75 houses

2/5 were sold, which mean 3/5 remain
3/5 of 75 is 45

Then, 1/3 of the REMAINING (45) houses were sold. Since 1/3 were sold, 2/3 remain of 45.
2/3 of 45 is 30

30 houses are left to be sold

The number of board games cannot be negative. Write this constraint.

The number of role-playing games cannot be negative. Write this constraint

Answers

Step-by-step explanation:

回答 你今天在做什么 我父亲是一个地球仪 并将其邮寄给今日印度的中央政府组 为年轻人提供在线学习 答案是肯定的 我不确定你是否

Calculate the height of a tree whose shadow is 20m shorter when the angle of elevation of the sun is 60° than when it's 30°.​

Answers

Answer:

  17.3 m

Step-by-step explanation:

If t is the height of the tree, then the length of the shadow is ...

  shadow length = t/tan(α)

where α is the angle of elevation. The difference in shadow lengths is ...

  20 m = t/tan(30°) -t/tan(60°) = t(√3 -1/√3)

  t = (20 m)/(2/√3) = 10√3 m ≈ 17.3 m

The tree is about 17.3 meters high.

(-2.05) - (-5)
explain and show how u did this

Answers

Answer:

2.95

Step-by-step explanation:

When we have a problem like this (-2.05)-(-5)

It becomes -2.05+5 because two negatives make a positive, then we add them and we get 2.95

Write in the form a to the power of n where n < 01/ 9x9x9x9x9x9x9x9x9x9

Answers

The answer is

31381059609

Round 14.63486 to 3 decimal place

Answers

Answer:

15 would be the rounded up number.

14.635
You wanna look at the 4th number after the decimal which is 8 meaning the third number will round up from 4 to 5

the perimeter of an equilateral triangle is 14.4 cm. Find out the length of the side of that triangle in decimal fraction​

Answers

Answer:

4.8

Step-by-step explanation:

Not sure if this is what you're asking but because it is equilateral each side is the same. So you divide 14.4 by 3, to get 4.8.

Please answer! :(

Write YES if each equation below is Linear Equation in two variables, otherwise, NO.
___1. 4x - 2y = 1
___2. 6x² + 4y = 8
___3. m - 1n/2 = -8
___4. 1/y = 5
___5. 2x - 3y + 7 = 0
___6. 2a + 5 = 0

Please explain if possible, thank youu! :)​

Answers

Linear Equation in two variables?

1. 4x - 2y = 1   ⇒ Yes 2. 6x² + 4y = 8 ⇒ No, the variable x has degree 2, not linear 3. m - 1n/2 = -8 ⇒ Yes 4. 1/y = 5 ⇒ No, one variable 5. 2x - 3y + 7 = 0 ⇒ Yes 6. 2a + 5 = 0 ⇒ No, one variable

Please help, thanks. NO LINKS!

Answers

Answer:

c

Step-by-step explanation:

Lets take a look at the line. We see that the point is between 5 and 6, which means A is wrong. Now lets just count the number of lines between the two points, where 5 is starting at 5 0/6 and 6 is 5 6/6. So as we go, we find that the point B is 4/6 of the way to 6. This means that the best answer is B) 5 4/6.

I hope this helps! :)

Why is it possible for condition means to differ at the end of an experiment even if the independent variable had no effect

Answers

It differs because the equation has a little too much information
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