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OLga [1]
3 years ago
10

a quantity, t, varies inversely with a quantity, r. if t=6, then r=5 what is the constant of variation

Mathematics
1 answer:
Kamila [148]3 years ago
7 0

Answer:constant of variation = 6/5

Step-by-step explanation:

t varies inversely as r

Let k be the constant of variation

t = k/r

t = 6 and r = 5

Substitute the value of t and r

6 = k/5

Make k the subject of the formula

k = 6/5

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Answer:

  no

Step-by-step explanation:

The prices are inconsistent, so there is no unique price that can be set for either an apple or an orange that will give the total prices indicated.

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The first relation can be written as ...

  $10 = 4A +4O

  $10 = 4(A +O) . . . . factor out 4

  $2.50 = A +O . . . . divide by 4

The second relation can be written as ...

  $12 = 6A +6O

  $12 = 6(A +O) . . . . factor out 6

  $2 = A +O . . . . . . . divide by 6

These two relations give different prices for 1 apple and 1 orange. There is no price that can be set for either fruit that will give this result.

No unique prices can be assigned.

7 0
2 years ago
a dive ring at the bottom of the pool is 10 feet below the surface of the water. sabine dives down and brings the ring back to t
icang [17]

Answer:

-10 feet below the surface of the water

Step-by-step explanation:

We are told that the dive rings position at the bottom of the pool is 10 feet below the surface of the water.

Now, an integer is basically a whole number that can either be be zero, positive or negative.

In this case, it's below the surface which means it's below zero.

Thus, it's negative.

So the integer is -10 feet below the water surface.

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3 years ago
What is the product of -5x^5(-8x^4-9x-9)
Phoenix [80]
-5x^5 * -8x^4 - 5x^5*-9x - 5x^5*-9

= 40x^9 + 45x^6 + 45x^5
5 0
3 years ago
Check all that apply please
love history [14]

As, synthetic division by -4 gives remainder 0. Hence, Option B is correct. -4 is a root of 3x^{2} +7x-20

As, x+4=0 gives x=-4.

So, option C is correct,

(x+4) is factor of 3x^{2} +7x-20

Option E is correct

\frac{3x^{2} +7x-20 }{x+4}=3x-5

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2 years ago
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