350≤15x+8y≥35
Calculate separately to make it clear for u
Answer:
12/13
Step-by-step explanation:
there are 4 7's in a 52 card deck, that means the other 48 cards are not 7's. 48/52 = 12/13
Answer:
Part 1)
A
Part 2)
C
Step-by-step explanation:
1)
We are given:
And that:
And we want to now for which values of x is h(x) undefined.
So, by substitution:
Remember that for rational functions, the function will be undefined if and only if the denominator is 0.
This is because we cannot divide by 0.
So, to find the values for which the denominator is 0, set the denominator to 0 and solve for x. Therefore:
Add 9 to both sides:
Take the square root of both sides. Since we are taking an even-root, we will need plus/minus. Therefore:
So, h(x) is undefined for ±3.
Our answer is A.
2)
We are given:
And we want to find:
So:
Distribute:
Combine like terms:
Rewrite:
Factor out:
So, our answer is C.
1st pic
Triangle
prism
a triangular end with a base of 27 mm and a height of 23 mm.
the length of each side is 56 mm and the width of each side
is 27 mm
SA=bh+(s1+s2+s3)H
SA=(27)(23)+(27+27+27)(56)
SA= 621 + 4536
SA=5157 mm^2
V = ½ blh
V = ½ (27)(23)(56)
<span>V = 17388 mm^3</span>
2nd pic
Cone
SA = πr(r + √(h^2 + r^2) (r = 4, h = 7)
SA = 4π (4 + √(7^2 + 4^2))
SA = 4π (4 + √(49 + 16))
SA = 4π (4 + √65 )
SA = 16π + 4√65
V = 1/3 πr^2h (r = 4, h = 7)
V = 1/3 π (4^2)(7)
V = 112/3 π
V = 37 1/3 π
3rd pic
sphere:
SA = 4 <span>π r^2 as you know r = 14/2 = 7
SA = 4</span>π(7^2) = 4π(49) = 196<span>π m^2
V = 4/3</span><span>πr^3
V = 4/3</span><span>π(7^3)
V = 4/3</span><span>π(343)
V = 1372/3 </span><span>π
V = 457 1/3 </span><span>π m^3
</span><span>
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