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tester [92]
3 years ago
12

Suppose q is directly proportional to the square root of h and inversely proportional to the cube of j, and q=24 when h=16 and j

=2. Find q when h=4 and j=1/2.
Mathematics
1 answer:
Afina-wow [57]3 years ago
4 0

9514 1404 393

Answer:

  q = 768

Step-by-step explanation:

The proportionality relation is given as ...

  q = k(√h)/j³

Then ...

  k = q·j³/√h = 24·2³/√16 = 48

For the given values, q is ...

  q = 48·(√4)/(1/2)³ = 48·2·8

  q = 768

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Can someone help me with this problem??
Pavlova-9 [17]
Find the slope first by doing (6+2)/(4-3)=8/1 or just 8. Next use a set of coordinates into the equation so 6=8(4)+b then solve so 6=32+b next subtract 32 from both sides which would equal -24=b. Then plug it all into the equation so y=8x-24
8 0
3 years ago
If a is an integer, prove that (14a + 3, 21a + 4) = 1.
Firdavs [7]

Answer:

(14a+3, 21+4) = 1

Step-by-step explanation:

We are going to use the Euclidean Algorithm to prove that these two integers have a gcd of 1.

gcd (14a + 3, 21a + 4) = gcd (14a+3, 7a + 1) = gcd (1, 7a+1) = 1

Therefore,

(14a + 3, 21a + 4) = 1

8 0
3 years ago
prove the two triangles are congruent?
e-lub [12.9K]
Is there more information i can get out of this ?
3 0
2 years ago
Read 2 more answers
Which ordered pairs are solutions to the inequality y - 3x < -8?
7nadin3 [17]

Answer:

Option B,C and E are solution to given inequality y - 3x < -8

Step-by-step explanation:

We need to check which ordered pairs from given options satisfy the inequality y - 3x < -8

Ordered pairs are solutions to inequality if they satisfy the inequality

Checking each options by pitting values of x and y in given inequality

A ) (1, -5)

-5-3(1)

So, this ordered pair is not the solution of inequality as it doesn't satisfy the inequality.

B) (-3, - 2)

-2-3(-3) < -8\\-2-9

So, this ordered pair is solution of inequality as it satisfies the inequality.

C) (0, -9)

-9-3(0)

So, this ordered pair is solution of inequality as it satisfies the inequality.

D) (2, -1)

-1-3(2)

So, this ordered pair is not the solution of inequality as it doesn't satisfy the inequality.

E) (5, 4)​​​

4-3(5)

So, this ordered pair is solution of inequality as it satisfies the inequality.

So, Option B,C and E are solution to given inequality y - 3x < -8

6 0
2 years ago
Peter says, "If you subtract 13 from my number and multiply the difference by -3, the result is
Art [367]

Answer:

Peter's number is 36.

Step-by-step explanation:

If you subtratct 13 from 36, you get 23.

If you multiply that times -3, you get -69.

(The way I got 23 was by dividing -69 and -3)

I hope this helped you even though it's late.

6 0
3 years ago
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