What is 24 multiplied to get 225

Pleaseeee help me out

katen-ka-za [31]

Answer:

y = 2x+7

Step-by-step explanation:

This is equation is in the form

y= mx+b where m is the slope and b is the y intercept

y =2x + ? means we are looking for the y intercept which is the value of y when x is zero

From the table, x=0 and y=7

y = 2x+7

3 0

3 years ago

Read 2 more answers

a six sided die is rolled 4 times in a row. What is the probability of getting 4 only on the last trial of this experiment?

hoa [83]

First, start of by saying what the probability of getting a 4 is, which is 1/6.
Now, this means the probability of not getting a 4 is 1-(1/6)=(5/6), since the total probability is 1.

After doing this, you should think about what it means to only get 4 on the last trial, the 4th trial. It means that the probabilities of the 1st, 2nd, and 3rd trial were (5/6) each. The 4th trial had a probability of (1/6). So the probability would be calculated as following: ( $(5/6)^3*(1/6)$ = $5^3/6^4$ . You can use a calculator or your computer to find out that the probability is 125/1296.

I hope this was helpful!

5 0

3 years ago

The length of some fish are modeled by a von Bertalanffy growth function. For Pacific halibut, this function has the form L(t) =

Dafna1 [17]

Answer:

a) L'(t) = 34.416*e^(-0.18*t)

b) L'(0) = 34 cm/yr , L'(1) =29 cm/yr , L'(6) =12 cm/yr

c) t = 10 year

Step-by-step explanation:

Given:

- The length of fish grows with time. It is modeled by the relation:

L(t) = 200*(1-0.956*e^(-0.18*t))

Where,

L: Is length in centimeter of a fist

t: Is the age of the fish in years.

Find:

(a) Find the rate of change of the length as a function of time

(b) In this part, give you answer to the nearest unit. At what rate is the fish growing at age: t = 0 , t = 1, t = 6

c) When will the fish be growing at a rate of 6 cm/yr? (nearest unit)

Solution:

- The rate of change of length of a fish as it ages each year can be evaluated by taking a derivative of the Length L(t) function with respect to x. As follows:

dL(t)/dt = d(200*(1-0.956*e^(-0.18*t))) / dt

dL(t)/dt = 34.416*e^(-0.18*t)

- Then use the above relation to compute:

L'(t) = 34.416*e^(-0.18*t)

L'(0) = 34.416*e^(-0.18*0) = 34 cm/yr

L'(1) = 34.416*e^(-0.18*1) = 29 cm/yr

L'(6) = 34.416*e^(-0.18*6) = 12 cm/yr

- Next, again use the derived L'(t) to determine the year when fish is growing at a rate of 6 cm/yr:

6 cm/yr = 34.416*e^(-0.18*t)

e^(0.18*t) = 34.416 / 6

0.18*t = Ln(34.416/6)

t = Ln(34.416/6) / 0.18

t = 10 year

7 0

3 years ago

seventy percent of the students applying to a university are accepted. using the binomial probability function, what is the prob

liq [111]

Check the attached file for the solution.

4 0

4 years ago

5. In the diagram shown below, BC is drawn tangent

Tatiana [17]

9514 1404 393

Answer:

(2) 72°

Step-by-step explanation:

In this geometry, the angle at the tangent is half the measure of the intercepted arc.

∠CBD = (arc BD)/2 = 144°/2

∠CBD = 72°

__

<em>Additional comment</em>

Consider a point X anywhere on long arc BD. The inscribed angle at X will have half the measure of short arc BD, so will be 144°/2 = 72°. This is true regardless of the position of X on long arc BD. Now, consider that X might be arbitrarily close to point B. The angle at X is still 72°.

As X approaches B, the chord XB approaches a tangent to the circle at B. Effectively, this tangent geometry is a limiting case of inscribed angle geometry.

6 0

3 years ago