Answer:
(d) 944 mm³
Step-by-step explanation:
The volume of a prism is given by the formula ...
V = Bh
where B is the area of the base, and h is the distance between bases.
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<h3>base area</h3>
Here, the base of the prism is a rectangle with a semicircle on top. The circle has a diameter of 9 mm, so a radius of 4.5 mm. The area of the semicircle is ...
A = 1/2πr² = 1/2π(4.5 mm)² ≈ 31.809 mm²
The area of the rectangle is the product of its length and width.
A = LW = (9 mm)(6 mm) = 54 mm²
So, the total base area is ...
31.809 mm² +54 mm² = 85.809 mm²
<h3>prism volume</h3>
The prism volume is this area multiplied by the length of the figure:
V = Bh = (85.809 mm²)(11 mm) ≈ 944 mm³
The volume of the figure is about 944 mm³.
Answer:
D
Step-by-step explanation:
This questions asks use to find what f(x) or y is, when x is equal to -2.
So, substitute -2 in for x in the equation.
f(x)=2(4)^x
f(-2)=2(4)^-2
Evaluate the exponent. Negative exponents follow this rule:
b^-x= 1/b^x
We have 4^-2. This will become 1/4^2 or 1/16
f(-2)=2(1/16)
Multiply
f(-2)=2/16
This fraction can be simplified. Both the numerator (top number) and denominator (bottom number) can be divided by 2.
f(-2)=2/2 / 16/2
f(-2)= 1/8
The correct choice is D. 1/8
the square of a negative number always be positive
eg: -2² = -2×-2 = (-×- = +) +4
the cube of a negative number always be positive
eg: -2³ = -2×-2×-2 = (-×-×- = +) -8
hope it helps...!!!
Answer:
B
Step-by-step explanation:
The answer is B because Uniform distributions are probability distributions with equally likely <u>outcomes</u>. In a discrete uniform distribution,<u> outcomes</u> are discrete and have the same probability. In a continuous uniform distribution, outcomes are continuous and infinite. In a normal distribution, data around the mean occur more frequently.
(2x - 5)(3x^2 - 4x +1)
6x^3 - 8x^2 + 2x - 15x^2 + 20x - 5
6x^3 - 23x^2 + 22x - 5