Answer:
15/2r - 40; Distributive Property
Step-by-step explanation:
You can use the Distributive Property to multiply the 5 across the expression in the parentheses.
5(3/2r - 8)
5 × 3/2r = 15/2r
5 × -8 = -40
Combine.
15/2r - 40
Hope this helps!
9514 1404 393
Answer:
1372π/3 cm^3 ≈ 1436.8 cm^3
Step-by-step explanation:
The diameter and height of the cylinder are both 14 cm. The resulting solid will be a 14 cm sphere. Its volume is ...
V = 4/3πr^3 = 4/3π(7 cm)^3 = 1372π/3 cm^3 ≈ 1436.8 cm^3
Answer in fraction form: -17/4 < x < 11/4
Answer in decimal form: -4.25 < x < 2.75
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Work Shown:
|4x+3| - 9 < 5
|4x+3| < 5+9 .... adding 9 to both sides
|4x+3| < 14
-14 < 4x+3 < 14 .... see note at the bottom
-14-3 < 4x < 14-3 .... subtracting 3 from all sides
-17 < 4x < 11
-17/4 < x < 11/4 .... divide all sides by 4
-4.25 < x < 2.75
This says that x is between -4.25 and 2.75, but x is not equal to either endpoint.
Note: I used the rule that |x| < k becomes -k < x < k where k is a positive real number.
Answer:
Step-by-step explanation:
Well, first let's look at our trig identities. We can set up a cosine function using the given angle:
(adjacent/hypotenuse)
Then, multiplying both sides by 16 gives us:
Hope this helps!
