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3 years ago

Which equation represents a proportional relationship that has a constant of proportionality equal to -10

Mathematics

2 answers:

stira [4]3 years ago

7 0

Answer:

$y = - 10x$

Step-by-step explanation:

A proportional relationship has equation:

$y = kx$

where k is the constant of proportionality.

Since we are looking for a proportional relationship that has a constant of proportionality equal to -10, we have k=-10.

We substitute k=-10 into the equation to get:

$y = - 10x$

Therefore the correct choice is

$y = - 10x$

cricket20 [7]3 years ago

5 0

Answer:

If Im Jake Paul looking for answers then Its everyday bro

Step-by-step explanation:

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The radius of a right circular cone is increasing at a rate of 1.9 in/s while its height is decreasing at a rate of 2.2 in/s. At

musickatia [10]

Answer:

Volume of the cone is increasing at the rate $9916\pi \frac{in^3}{s}$ .

Step-by-step explanation:

Given: The radius of a right circular cone is increasing at a rate of $1.9$ in/s while its height is decreasing at a rate of $2.2$ in/s.

To find: The rate at which volume of the cone changing when the radius is $134$ in. and the height is $136$ in.

Solution:

We have,

$\frac{dr}{dt} =1.9 \:\text{in/s}$ , $\frac{dh}{dt}=-2.2\:\text{in/s}$ , $r=134 \:\text{in}$ , $h=136\:\text{in}$

Now, let $V$ be the volume of the cone.

So, $V=\frac{1}{3}\pi r^{2}h$

Differentiate with respect to $t$ .

$\frac{dv}{dt} =\frac{1}{3}\pi \left [ r^2\frac{dh}{dt}+h\left ( 2r \right )\frac{dr}{dt} \right ]$

Now, on substituting the values, we get

$\frac{dv}{dt} =\frac{1}{3}\pi\left [ \left ( 134 \right )^2\left ( -2.2 \right )+\left ( 136\right )\left ( 2 \right )\left ( 134 \right )\left ( 1.9 \right ) \right ]$

$\frac{dv}{dt} =\frac{1}{3}\pi\left [ -39503.2+69251.2 \right ]$

$\frac{dv}{dt} =\frac{1}{3}\pi\left [ 29748 \right ]$

$\frac{dv}{dt} =9916\pi \frac{in^3}{s}$

Hence, the volume of the cone is increasing at the rate $9916\pi \frac{in^3}{s}$ .

6 0

3 years ago

7th grade math need some help with this

krek1111 [17]

Answer:

15 percent

Step-by-step explanation:

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4 years ago

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Find the area of shaded portions in figures.

sertanlavr [38]

Answer:

360cm²

Step-by-step explanation:

area of the parallelogram = base x height

base = 40 -10= 30cm

height = height of the triangle

A = 30*12= 360

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3 years ago

Help plzzzzzzzzzzzz

marissa [1.9K]

33+28+7x= 180
61+7x =180
7x= 119
X= 17
Hope this helped :)

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inna [77]

C I know I saw that on my phone

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