Answer:
If a certain cone with a height of 9 inches has volume V = 3πx2 + 42πx + 147π, what is the cone’s radius r in terms of x?
Step-by-step explanation:
V = 3πx2 + 42πx + 147π
V=3π(x2 + 14x +49)
9.42(x2 + 14x +49)
9.42(x2 + 14x +14) -14 + 49= 0
9.42(x + 7)^2 + 35= 0
9.42(9.42(x + 7)^2 = - 35)9.42
(x + 7)^2 = - 35/9.42)
√(x + 7)^2=√- 35/9.42
x + 7 = - 1.927
x= - 1.927 - 7
x= - 8.927
V = 3π(- 8.927)^2 + 42π(- 8.927) + 147π
V=750.69 - 1177.29 + 461.58
<u>V=34.98</u>
h= 9 inches
V = 13πr2h
34.98 = 13(3.14) (r^2) (h)
34.98 = 40.82 (r^2) 9
34.98 = 367.38 r^2
34.98/ 367.38 = 367.38 r^2/ 367.38
0.095= r^2
Answer:
y = -4x + 5
Step-by-step explanation:
This linear function can be represented through the slope-intercept form, or y=mx+b. You already know your m value, 4, which is your slope. From there you can plug in your coordinate into the y and x values to find your y-intercept, or b.
y = mx + b
-3 = -4(2) + b
b = 5
Then you put it all together to form the equation f(x) = -4x + 5
Answer:
idk
Step-by-step explanation:
to lazy
To answer this question, we need to know what absolute value is in the first place. <u><em>ANSWERS ARE AT THE BOTTOM.</em></u>
Absolute value represents how far something is from 0 in a number line.
For example, lets take 4.
4 is 4 units away from 0 on the number line, so the absolute value of 4 is 4.
Now lets look at another example, -4. -4 is also 4 units away from 0, just in the other direction. However, when calculating absolute value, we do not care about the direction. Therfore, the absolute value of -4 is also 4.
Now let's look at your problem.
You want the <em>absolute value</em> of 0 and -4/5
<u><em>Following the same principle above about the distance from 0, here are your answers:</em></u>
<u><em></em></u>
<u><em>Absolute value of 0</em></u><u><em>: </em></u><em>0</em>
<em></em>
<u><em>Absolute value of -4/5</em></u><u><em>: </em></u><em>4/5</em>
Answer:
P(A and B) = 7/80
Step-by-step explanation:
The given values of the probabilities of the different events are;
P(A) = 7/20
P(B) = 7/20
P(A or B) = 49/80
P(A and B) = Required
We have by probability theory for any event;
P(A or B) = P(A) + P(B) - P(A and B)
Therefore;
P(A and B) = P(A) + P(B) - P(A or B)
Plugging in the values gives;
P(A and B) = 7/20 + 7/20 - 49/80 = 7/80
∴ P(A and B) = 7/80
