All categories

3 years ago

Y varies inversely with x, and k (the constant of variation) = 1.24. What is the value of y when x = 4.96?

Mathematics

1 answer:

V125BC [204]3 years ago

6 0

Answer:= y = 0.25 to the nearest hundredth.

Step-by-step explanation:

In inverse variation, both variables move in opposite directions. This means that as variable 1 increases, variable 2 reduces and as variable 1 reduces, variable 2 increases.

Y varies inversely with x.

So as y increases, x reduces and as y reduces, x increases.

We would proceed by introducing a constant of variation, k

y = k/x

From the information given,

The constant of variation, k = 1.24

The value if x = 4.96

To find the value of y

y = k/x = 1.24/4.96

= 0.25 to the nearest hundredth.

You might be interested in

What is the value of n?<br> 121 144

Blababa [14]

Is there an equation for this?

6 0

3 years ago

-4 - 3= Please help if you know the answer please explane??

Doss [256]

Answer:

-7

Step-by-step explanation:

there is nothing to explain but anyways

-4 - 3 = -7

8 0

4 years ago

Read 2 more answers

In 2002, there were 972 students enrolled at Oakview High School. Since then, the number of students has increased by 1.5% each

Rudiy27

Answer:

$N(t) = 972(1.015)^{t}$

Growth function.

The number of students enrolled in 2014 is 1162.

Step-by-step explanation:

The number of students in the school in t years after 2002 can be modeled by the following function:

$N(t) = N(0)(1+r)^{t}$

In which N(0) is the number of students in 2002 and r is the rate of change.

If 1+r>1, the function is a growth function.

If 1-r<1, the function is a decay function.

In 2002, there were 972 students enrolled at Oakview High School.

This means that $N(0) = 972$

Since then, the number of students has increased by 1.5% each year.

Increase, so r is positive. This means that $r = 0.015$

Then

$N(t) = N(0)(1+r)^{t}$

$N(t) = 972(1+0.015)^{t}$

$N(t) = 972(1.015)^{t}$

Growth function.

Find the number of students enrolled in 2014.

2014 is 2014-2002 = 12 years after 2002, so this is N(12).

$N(t) = 972(1.015)^{t}$

$N(12) = 972(1.015)^{12}$

$N(12) = 1162$

The number of students enrolled in 2014 is 1162.

7 0

3 years ago

A silo is constructed using a cylinder with a hemisphere on top. The circumference of the hemisphere and the circumference of th

givi [52]

1. The surface that will be exposed to the rain is the lateral surface of the cylinder and the hemisphere.

2. The lateral area of the cylinder is a rectangle with height equal to the height of the cylinder and width equal to the circumference of the base of the cylinder.

3. the circumference of the base = 2 $\pi$ r=2* $\pi$ *5=10 $\pi$
so the lateral area = 10 $\pi$ *h=10 $\pi$ *40=400 $\pi$ ( $ft^{2}$ )

4. The surface area of a sphere is $4 \pi r^{2}$
so the surface of the hemisphere = $\frac{1}{2} *4 \pi r^{2}=2 \pi (5)^{2}=50 \pi$ ( $ft^{2}$ )

5. Total area exposed = 450 $\pi$ $ft^{2}$

4 0

3 years ago

Read 2 more answers

Identify the property used in each step of solving the inequality . 7x+4<46

ExtremeBDS [4]

For this case we have the following inequality:

$7x + 4$