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2 years ago

11

The value of varies directly with . If = 4, then = 12. What is the value of when = 6?

1 answer:

kodGreya [7K]2 years ago

4 0

Write the correct equation. Direct variation problems are solved using the equation y = kx. When dealing with word problems, you should consider using variables other than x and y, you should use variables that are relevant to the problem being solved. Also read the problem carefully to determine if there are any other changes in the direct variation equation, such as squares, cubes, or square roots.

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Which formula shows a joint variation?

djyliett [7]

The answer is the first option: I, II and III.

The explanation is shown below:

1. By definition, there is a joint variation when a variable depends on two or more different variables. Therefore, you can express it as following:

$y=kxz$

Where $x,y$ and $z$ are the variables and $k$ is the constant of proportionality.

As you can see, $y$ is directly proportional to $x$ and $z$ .

2. Keeping the information above, you have:

I) $V=lwh$ ( $V$ varies jointly with $l$ , $w$ and $h$ .

II) $V=\frac{1}{3}r^{2}h\pi$ (If $\frac{\pi}{3}$ is the constant of proportionality, $V$ varies jointly with $r^{2}$ and $h$ ).

III) $V=Bh$ ( $V$ varies jointly with $B$ and $h$ .

8 0

3 years ago

Read 2 more answers

1.221 x 1/100 =<br> answer with the product. Correct answer will be awarded with branliest

Vladimir79 [104]

Answer:

0.1221

Step-by-step explanation:

8 0

3 years ago

Please help me out with this problem!

MA_775_DIABLO [31]

Answer:

C

Step-by-step explanation:

The red graph is the graph of y = f(x) shifted 1 unit right and then reflected in the x- axis.

Given y = f(x) then f(x + a) is a horizontal translation of a units

• If a > 0 then shift to the left of a units

• If a < 0 then shift to the right of a units

Here shift to the right of 1 unit, thus

y = f(x - 1)

Under a reflection in the x- axis

a point (x, y ) → (x, - y )

Note the y- coordinates are the negative of each other, thus

- y = f(x)

Now $\frac{y}{-1}$ = - y, hence

The equation for the red graph is

$\frac{y}{-1}$ = f(x - 1) → C

6 0

2 years ago

Mary has a rectangular garden that she needs to buy soil for. The length of the garden can be represented by 5x-1, and the width

astra-53 [7]

Answer:

Area = Length x width

Step-by-step explanation:

Area= 2

5 0

3 years ago

A man starts at a point A and walks 18 feet north. He then turns and walks due east at 18 feet per second. If a searchlight plac

34kurt

Answer:

1/10 per sec

Step-by-step explanation:

When he's walked x feet in the eastward direction, the angle Θ that the search light makes has tangent

tanΘ = x/18

Taking the derivative with respect to time

sec²Θ dΘ/dt = 1/18 dx/dt.

He's walking at a rate of 18 ft/sec, so dx/dt = 18.

After 3seconds,

Speed = distance/time

18ft/sec =distance/3secs

x = 18 ft/sec (3 sec)

= 54ft. At this moment

tanΘ = 54/18

= 3

sec²Θ = 1 + tan²Θ

1 + 3² = 1+9

= 10

So at this moment

10 dΘ/dt = (1/18ft) 18 ft/sec = 1

10dΘ/dt = 1

dΘ/dt = 1/10 per sec

8 0

3 years ago