What is the ratio of cows to horses?

If a tank holds 5000 gallons of water, which drains from the bottom of the tank in 40 minutes, then Torricelli's Law gives the v

pochemuha

Answer:

V'(t) = $-250(1 - \frac{1}{40}t)$

If we know the time, we can plug in the value for "t" in the above derivative and find how much water drained for the given point of t.

Step-by-step explanation:

Given:

V = $5000(1 - \frac{1}{40}t )^2$ , where 0≤t≤40.

Here we have to find the derivative with respect to "t"

We have to use the chain rule to find the derivative.

V'(t) = $2(5000)(1 - \frac{1}{40} t)d/dt (1 - \frac{1}{40}t )$

V'(t) = $2(5000)(1 - \frac{1}{40} t)(-\frac{1}{40} )$

When we simplify the above, we get

V'(t) = $-250(1 - \frac{1}{40}t)$

If we know the time, we can plug in the value for "t" and find how much water drained for the given point of t.

4 0

3 years ago

CAN SOMEONE PLS HELP MEEEEEEE

k0ka [10]

9514 1404 393

Answer:

6x +y = -6
6x -y = 8
5x +y = 13

Step-by-step explanation:

To rewrite these equations from point-slope form to standard form, you can do the following:

eliminate parentheses
subtract the x-term
subtract the constant on the left
if the coefficient of x is negative, multiply by -1

Of course, any operation you do must be done to both sides of the equation.

__

1. y -6 = -6(x +2)

y -6 = -6x -12 . . . . . eliminate parentheses

6x +y -6 = -12 . . . . . add 6x

6x +y = -6 . . . . . . . . add 6

__

2. y +2 = 6(x -1)

y +2 = 6x -6

-6x +y +2 = -6

-6x +y = -8

6x -y = 8 . . . . . . . . multiply by -1

__

3. y -3 = -5(x -2)

y -3 = -5x +10

5x +y -3 = 10

5x +y = 13

_____

Additional comment

The "standard form" of a linear equation is ax+by=c for integers a, b, c. The leading coefficient (generally, 'a') should be positive, and all coefficients should be mutually prime (have no common factors). That is why we multiply by -1 in problem 2.

7 0

3 years ago

n HP laser printer is advertised to print text documents at a speed of 18 ppm (pages per minute). The manufacturer tells you tha

Dominik [7]

Answer:

0.321 is the probability that their mean printing speed of the sample is greater than 17.99 ppm.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 17.39 ppm

Standard Deviation, σ = 4.25 ppm

Sample size = 11

We are given that the distribution of printing speed is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

P(printing speed of the sample is greater than 17.99 ppm.)

P(x > 17.99)

$P( x > 17.99) = P( z > \displaystyle\frac{17.99-17.39}{\frac{4.25}{\sqrt{11}}}) = P(z > 0.468229)\\\\P( z > 0.468229) = 1 - P(z < 0.468229)$

Calculating the value from the standard normal table we have,

$1 - 0.679 = 0321= 32.1\%\\P( x > 17.99) = 32.1\%$

Thus, 0.321 is the probability that their mean printing speed of the sample is greater than 17.99 ppm.

8 0

3 years ago

A building has a ramp to its front doors to accommodate the handicapped. If the distance from the building to the end of the ram

bija089 [108]

The ramp forms a right triangle with legs 5 and 22.
Find the length of the hypotenuse using the Pythagorean theorem,
c=raiz((5)^2+(22)^2)= 22.56 ft
Answer
 the ramp is 22.56 ft long.

7 0

3 years ago

Need help fast thanks and god bless

Nuetrik [128]

Answer:

275.

Step-by-step explanation:

The gradient of the graph is 70/2 = 35 and it passes through the origin so we can write its equation as

y = 35x.

The gradient of the function represented by the the table is

(240-180) / (4-3) = 60

Ehen x = 3 y = 180 so when x = 0 y = 180 - 60 - 60 - 60 = 0 and the equation of this function is

y = 60x.

For the first equation when x = 11, y = 35*11 = 385.

For the second it is 60 * 11 = 660

So our answer is 660 - 385

= 275

7 0

2 years ago