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

how to simplify 3x - 20

Answers

Answer:

-60

Step-by-step explanation:

you can just do 3x20, which makes sixty, then put change that to negative, since there is a negative in the number

The answer will be -60

if 14 karat gold necklace weighs 1.8 ounces how many ounces of pure gold does it contain

Answers

Answer:

1.05 ounces

Step-by-step explanation:

Purest gold is 24 karat

So ATQ:

(14/24) X 1.8=1.049 OR SAY 1.05(ROUNDED OFF)

Colin hits a ball 5 times out of 12 times is thrown to him based on that rate what is approximate probability that coin will hit the next ball that is thrown to him

Answers

5/12 i think so i dong know but good luck

A car is sold for £7,800 If this represents a depreciation in value to 60% of its original

price, then calculate the original price of the car.

Answers

Answer:

6,543

Step-by-step explanation:

This is my guess ONLY.

A package of 4 pairs of insulated gloves costs $21.56. What is the unit price of the pairs of gloves?

Answers

Answer:

Your answer is $5.39.

Step-by-step explanation:

There are 4 pairs of gloves. The unit price is only for a single pair of gloves, so divide the total cost by the pairs of gloves to get your answer: 21.56 ÷ 4 = 5.39. (Also, since we are talking about money, there would be a dollar sign next to 5.39: $5.39)

A corporation earned its profit of 2.5x10^4 for 1x10^3 days in a row. What was the corporation's total profit during this time?

Answers

Answer:

$2.6 x 10^4

Step-by-step explanation:

PLEASE HELP WILL MARK BRAINLIEST

Answers

Answer:

A

Step-by-step explanation:

Expressing the identity in terms of a and b

(a + b)³ = a³ + b³ + 3ab(a + b)

Subtract 3ab(a + b) from both sides , then

a³ + b³ = (a + b)³ - 3ab(a + b) ← substitute given values

a³ + b³ = 12³ - 3(7)(12) = 1728 - 252 = 1476

Step-by-step explanation:

I hope you get it. you have to substitute and also find the value of a3 + b3

make your own dish pantry package potluck portfolio

Answers

Answer:

huh??

Step-by-step explanation:

O is the centre of the circle. Determine the value of s to the nearest tenth, if necessary.


a) 6.7

b) 7

c) 77

d) 9.2

Answers

i think it’s B :))))))))))))

In figure BC = CA and ∠A = 40°. Then ∠ACD is...
a)40° b) 80° c) 120° d) 60°

Answers

Answer:

B

Step-by-step explanation:

The size of the exterior angle in a triangle is the sum of interior opposite angles. In this case, it's

Angle ACD=40+40=80° (Exterior angle=sum of int. opp. angles)

Answer:

b. 80°

Step-by-step explanation:

B is 40°

A triangle has 180°

40 + 40 + x = 180

80 + x = 180

x = 100

Since it's a supplementary angle...

180 - 100 = 80

(simplify)
i will give brainliest if correct
3 √2x8

Answers

3√2 × 8

= (3 × 8) √2

= 24√2

= 33.941

= 34 (approx.)

______

Hope it helps!

RainbowSalt2222 ☔

the answers of 3 √2x8 is 12

0.57,0.66,0.75,0.84 what are the next three numbers

Answers

Step-by-step explanation:

since the difference between all the numbers is 0.09 so to get the next three numbers you add o.o9 to 0.84 the answer u get add it with 0.09 until u get the numbers u are asked to look for

Plz help me with this one

Answers

Answer:

5/6

Step-by-step explanation:

-5x-3=-9

Add 3 to both sides.

-5x=-6

Divide both sides by -5.

x=5/6

-5x - 3 = -9
+3 +3
———————-
-5x = -6
—— ——
-5 -5

x = 1.2

x = 6/5

A spoonful of ice cream contains 0.006 mg of iron. How much iron
would Mr. Lin consume if he ate 100 spoonfuls?

Answers

0.006 x 100 = 0.6
0.6 mg of iron

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

4 3/4 I think you have to add then together. The you get four 3/4

how can I solve this
1/2 of 20​

Answers

Answer:

Just multiply over here

1/2 *20

1/2 * 20/1

20/2

10

answer is 10

Answer:

10

Step-by-step explanation:

multiply (1/2) by 20

10

Write the following numbers in order of size. Start with the smallest number. -8 2 -12 5 10 ​

Answers

Answer:

-12, -8, 2, 5, 10

Step-by-step explanation:

-12, -8, 2, 5, 10

Answer:

-12, -8, 2, 5, 10

Step-by-step explanation:

We have to remember here that when integers are negative, the number that looks the biggest is actually the smallest! What do I mean? Well, a value of -100 is actually way smaller than a value of -1, since it's a lot farther to the left of 0 than -1 is. Does that make sense?

Let's take that in mind as we start looking at our values. If what I just said is true, -12 is the smallest value, since it's the farthest to the left of 0. Then comes -8. From there, it's not too hard. 2 is the next smallest, then 5, and finally, 10 is our greatest number.

So, our answer is -12, -8, 2, 5, 10. Hopefully that's helpful! :)

help me urgent thankyouu

Answers

Answer:

The answer is B.

Step-by-step explanation:

0.0605

What is 3, 4, 5, 6, and 7.

Answers

3-reflexive
4- angle addition postulate
5-?
6-?
7-

Find the values of x and y.

Answers

Answer:

y= 132, x= 32.6

Step-by-step explanation:

Let me know if this is right!

Hope it helps

I got the same thing

Y= 132, X=32.6

A box has 11 marbles, 3 of which are white and 8 of which are red. A sample of 4 marbles are selected randomly from the box without replacement. What is the probability that exactly 2 are white and 2 are red

Answers

14/99

Select 1 marble; the chance that it is white is 4/12. Select a 2nd marble; the chance that it is white is 3/11. Select a 3rd; the chance it is white is 2/10. Select a 4th; the chance it is red is 8/9. Select a 5th; the chance it is red is 7/8. The chance of getting this specific set of 5 marbles in this order is (4/12)×(3/11)×(2/10)×(8/9)×(7/8)=(2×7)/(11×10×9).

This specific set could occur in the permutation of 5 things taken 5 at a time where 3 are identical (white), and the other 2 are also identical (red). The formula for this is 5!/(3!2!)=10.

Combining the chance of getting white, white, white, red, red with the number of ways 3 white and 2 red could have been distributed in the draw of 5 marbles gives the answer:

{(2×7)/(11×10×9)}×10=14/99

A similar process will show that the chance of getting 5 red marbles is 7/99; 4 white and 1 red is 1/99; 2 white and 3 red is 42/99; and 1 white and 4 red is 35/99.

Using the slope program, create the line y = 2x. Keeping the line the same, move one (or both) of the points so the triangle created by the points has a vertical length of 10 units. What is the horizontal length? Does this horizontal length match the answer you found in the previous question?

Answers

Answer:

x = 5 units

Step-by-step explanation:

Use the proportion we have to find the horizontal length:

y = 2x

When y = 10, the value of x is:

10 = 2xx = 10/2x = 5

[tex]\\ \sf\longmapsto y=2x[/tex]

Vertical length=yHorizontal length=x

Put y=10 in equation

[tex]\\ \sf\longmapsto 10=2x{/tex]

[tex]\\ \sf\longmapsto x=\dfrac{10}{2}[/tex]

[tex]\\ \sf\longmapsto x=5units[/tex]

James is following this recipe to make flapjacks.
James uses 330 mL of syrup.
How many flapjacks is James making?

Recipe: Makes 8 flapjacks
100 g sugar
110 mL syrup
220 g oats
165 g margarine
30 g sultanas

Answers

Answer:

24 flapjacks

Step-by-step explanation:

330 / 110 = 3

8 *3 = 24

-2.7 = a - 3.3

what’s the operation
is it an inverse or a reciprocal
what does A=

Help ASAP

Answers

Answer:

a= 0.6

Step-by-step explanation:

This is the answer...........

Answer:

It is reciprocal.

A = 0.6

Step-by-step explanation:

Reciprocal” means “equality,”

To find the A. Use APE or Additive Property of Equality

-2. 7 = a - 3.3

-2.7 + 3.3 =  a

0. 6 = a

x + 3y = 5
x + 2y = 3
Solve by using elimination​

Answers

Answer:

  (x, y) = (-1, 2)

Step-by-step explanation:

The variable x has the same coefficient in both equations, so we can eliminate x by subtracting one equation from the other. We notice the y-coefficient is greater in the first equation, so we want to subtract the second equation. This will ensure that the remaining y-term has a positive coefficient. (That is not required by the elimination method, but it helps reduce mistakes.)

  (x +3y) -(x +2y) = (5) -(3)

  y = 2 . . . . . . . simplify

  x =3 -2y = 3 -2(2) = -1 . . . . . use the second equation to find x

The solution is (x, y) = (-1, 2).

Find the slope of this line

Answers

Answer:

0

Step-by-step explanation:

We can use the two points given, which are (-4, -2) and (3, -2), to solve for the slope and answer the question. We have to subtract the y-values and then subtract the x-values. Those differences, divided, give us our slope, as shown below:

[tex]\frac{-2-(-2)}{-4-3} =\frac{-2+2}{-4-3} =\frac{0}{-7} =0[/tex]

So, the slope is 0. If you have any more questions on finding slope, or found what I just did confusing, let me know so I can help you! :)

HELP PLSASE: Find the solution of the system of equations.
2
x
+
4
y
=
2x+4y=



16
−16

2
x
+
2
y
=
−2x+2y=



2
−2

Answers

Answer:

Step-by-step explanation:

x

=

24

y

=

10

Explanation:

x

+

4

y

=

16

2

x

4

y

=

8

Subtract the bottom equation from the top one so the

+

4

y

and

4

y

cancel each other out.

x

=

24

x

=

24

x

+

4

y

=

16

24

+

4

y

=

16

4

y

=

40

y

=

10

The area of a square is 300 feet. What is the side length of the square? Round to the nearest tenths place.

Answers

Answer:

17.3

Step-by-step explanation:

square root of 300 is 17.32050808

17.32050808 rounded is 17.3

someone please help me i'll mark brainliest

Answers

Answer:

4-9/5

Step-by-step explanation:

I think so but if not sorry

help me pleaseeeeee!!!!!!​

Answers

Answer:

A' (1, -1)     B' (4, -5)     C' (6, -2)

Step-by-step explanation:

Since you're reflecting over the x (horizontal) axis, the y value has to change to show the height is increasing or decreasing (Decreasing in this case).

A (1, 1) --> A' (1, -1)     So (x,y) becomes (x,-y)

Hope this helps!

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