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LenKa [72]
3 years ago
13

which equation is the quadratic variation equation for the relatonship? the variable y varies directly with x^2 and y=36 when x=

3
Mathematics
1 answer:
svetoff [14.1K]3 years ago
8 0

For this case we have a direct variation of the form:

y = kx ^ 2

Where,

  • <em>k: proportionality constant </em>

We must find the value of k.

For this, we use the following data:

y = 36\\x = 3

Therefore, replacing values we have:

36 = k (3) ^ 2

Rewriting:

36 = 9k

Clearing the value of k we have:

k = \frac {36} {9}\\k = 4

Therefore, the direct variation equation is given by:

y = 4x ^ 2

Answer:

The quadratic variation equation for the relatonship is:

y = 4x ^ 2

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1 point
lara [203]

Answer:

V=20 in cubed

Step-by-step explanation:

The formula to find the volume of a pyramid is L×W×H÷3

  1. L×W=15 or 5×3=15
  2. 15×H=60 or 15×4=60
  3. 60÷3=20 in cubed

Therefore V =20 in cubed

Hope that helped! If you have any further questions please message me! Good luck!

8 0
3 years ago
Use the equation y = 4x to answer the questions.
Nastasia [14]

The slope is 4 and the Y-Intercept is 0.


3 0
3 years ago
Use this number line when answering questions.
Dmitrij [34]

Answer:

If the darker, longer lines are going in units of one, then A is equal to -2.

Step-by-step explanation:

7 0
3 years ago
I'll give more points here is what I need.
Serga [27]

Answer:

The answer to your question is x = 3; y = 3

Step-by-step explanation:

Data

angle = 45°

Opposite side = x

Adjacent side = y

hypotenuse = 3√2

To solve this problem, use trigonometric functions.

1) To find x, use the trigonometric function sine.

              sin Ф = Opposite side / hypotenuse

-Solve for Opposite side (x)

              Opposite side = hypotenuse x sin Ф

-Substitution

              Opposite side = 3√2 sin 45

-Simplification

               Opposite side = 3√2 (1 / √2)

               Opposite side = 3(1)

-Result  

               x = 3

2) To find y use the trigonometric function cosine

               cos Ф = Adjacent side / hypotenuse

-Solve for Adjacent side

                Adjacent side = hypotenuse x cos Ф

-Substitution

                Adjacent side = 3√2 x cos 45

-Simplification

                Adjacent side = 3√2 x (1/√2)

                Adjacent side = 3(1)

-Result

                y = 3

5 0
3 years ago
100% pure gold is 24 karat gold, which is too soft to be made into jewelry most call Jory is 14 karat gold proximally 58% gold 1
denis-greek [22]

Answer:

The amount of gold used in a 200 g 14 gold bracelet is 116 g.

Step-by-step explanation:

Since a 14 karat jewell is stated to have aproximally 58 % of it's weigh in gold we need to take the total weigh of the jewel in question and find that percentage of it's weigh. In order to find that percentage we'll first convert that number into a decimal, we do that by dividing it by 100, so we have 58% = 58/100 = 0.58 we can multiply this value by the weigh of the jewel to find the amount of gold used. So we have:

gold used = total weigh*0.58 = 200*0.58 = 116 g

5 0
3 years ago
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