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galben [10]
1 year ago
10

Y varies inversely as the fourth power of x and when x=3, y=1.

Mathematics
1 answer:
masya89 [10]1 year ago
4 0

The constant of proportionality if y varies inversely as the fourth power of x and when x=3, y=1 is k = 3^¼

<h3>Inverse variation</h3>

y = k ÷ x^¼

where,

  • Constant of proportionality = k

When x = 3, y = 1

y = k ÷ x^¼

1 = k ÷ 3^¼

1 = k / 3^¼

  • cross product

1 × 3^¼ = k

k = 3^¼

Therefore, the constant of proportionality if y varies inversely as the fourth power of x and when x=3, y=1 is k = 3¼

Learn more about inverse variation:

brainly.com/question/10252139

#SPJ1

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A can is 4 inches wide and 8 inches tall. To the nearest whole number, what is the area of a label that wraps around the can if
Yakvenalex [24]

Answer:

The area of a label is 62.8\ in^{2}

Step-by-step explanation:

we know that

The lateral area of a cylinder (label of the can) is equal to

LA=2\pi rh

we have that

A can is 4 inches wide

so

The diameter of the can is 4 inches

r=4/2=2\ in ----> the radius is half the diameter

h=8-3=5\ in ----> height of the label

substitute in the formula

LA=2(3.14)(2)(5)=62.8\ in^{2}

5 0
3 years ago
The endpoints of the diameter of a circle are (−2, −3) and (4, −1). Which equation represents the circle?
Alika [10]

Answer:

The equation of circle is (x-1)^{2}+(y-2)^{2} = 18

Step-by-step explanation:

Given the endpoints of the diameter of a circle: (-2,-3) and (4,-1)

We know that the equation of circle is

(x-h)^{2} + (y-k)^{2}= r^{2}

where (x,y) is any point on the circle, (h,k) is center of the circle and r is radius of circle.

To find (h,k): the center is midpoint of diameter

Midpoint of diameter with end points (x1,y1) and (x2,y2) is given by

(  \frac{x1+x2}{2} , \frac{y1+y2}{2}  )

( \frac{-2+4}{2} , \frac{-3-1}{2}  )

(1,2)

Hence (h,k) is (1,2)

Substituting values of (h.k) and (x.y) as (1,2) and (4,-1) respectively in equation of circle, we get

(4-1)^{2} +(-1-2)^{2} = r^{2}

r^{2} = 18

Now substituting values of (h,k) and r^{2} in equation of circle, we get

(x-1)^{2}+(y-2)^{2} = 18

Hence the equation of circle is (x-1)^{2}+(y-2)^{2} = 18

5 0
3 years ago
Read 2 more answers
Whats 3/8 + 3 7/12=?
kow [346]

Answer:

3.95833333333

Step-by-step explanation:

3 0
2 years ago
o The day before the exam, Rebecca does a practice run. She attempts 20 glass vases and breaks 3 of them. What is her success ra
Rashid [163]

Answer:

If the goal is to break the vases: 3/20 = 15.0% or 0.15

If the goal is to not break the vases: 17/20 = 85.0% or 0.85

8 0
2 years ago
Which function is a horizontal compression of its parent function f(x)=x^7 by a factor of 4
evablogger [386]

Answer:

r(x)=(4x)^7


Step-by-step explanation:

  • For a horizontal compression, we multiply whole numbers greater than 1 in front of x of the given function.
  • For horizontal expansion, we multiply by the reciprocal of the number for horizontal compression, in front of x of the function.

For example,

If we wanted to <u>horizontally compress</u> y=x^2, we would multiply by 4 to get y=(4x)^2, and

if we wante to <u>horizontally expand</u> y=x^2, we would multiply by \frac{1}{4} to get y=(\frac{1}{4}x)^2


Since this question asks for horizontal compression, we multiply the x of the function by 4. So the function we need is f(x)=(4x)^7. The second choice is correct.

8 0
3 years ago
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