Answer:
997.5-239.2
Step-by-step explanation:
Answer:
option A
Step-by-step explanation:
From the picture, we can see that:
- The height of the vertical cross section is the same as the height of the prism, that is, 4 inches.
- The base of the vertical cross section is the same as the width of the prism, that is, 8 inches.
Answer:
1/10
Step-by-step explanation:
P( 1st out of ink) = out of ink/total
=2/5
Then we have 4 pens left, 1 out of ink
P( 2nd pen out of ink) = out of ink/total
=1/4
P(2 pens out of ink) =P( 1st out of ink) * P( 2nd pen out of ink)
= 2/5* 1/4
=1/10
The expression 4x^2-px-7 leaves a remainder of -2 when divided by (x-3). Then the value of p is 10.33
<h3><u>
Solution:</u></h3>
Given the expression is
leaves a remainder of -2 when divided by (x-3)
To find: value of p
x - 3 = 0
x = 3
Let ![g(x) = 4x^2 - px - 7](https://tex.z-dn.net/?f=g%28x%29%20%3D%204x%5E2%20-%20px%20-%207)
Hence we can say,
g(3) = -2
Substitute x = 3 in g(x) we get,
![g(3) = 4(3)^2 - p(3) - 7\\\\-2 = 4(3)^2 - p(3) - 7](https://tex.z-dn.net/?f=g%283%29%20%3D%204%283%29%5E2%20-%20p%283%29%20-%207%5C%5C%5C%5C-2%20%3D%204%283%29%5E2%20-%20p%283%29%20-%207)
On solving we get,
-2 = 4(9) - 3p - 7
-2 = 36 - 3p - 7
3p = 36 - 7 + 2
3p = 31
![p = \frac{31}{3} = 10.33](https://tex.z-dn.net/?f=p%20%3D%20%5Cfrac%7B31%7D%7B3%7D%20%3D%2010.33)
Thus the value of p is 10.33