Answer:
3
Step-by-step explanation:
The value of "a" is the coefficient of x^2, so we know that is 2.
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<u>Solve for h</u>
Now, we have ...
2x^2 -8x +7 = 2(x -h)^2 +k
Expanding the right side gives us ...
= 2(x^2 -2hx +h^2) +k
= 2x^2 -4hx +2h^2 +k
Comparing x-terms, we see ...
-4hx = -8x
h = (-8x)/(-4x) = 2
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<u>Solve for k</u>
Now, we're left with ...
2h^2 +k = 7 = 2(2^2) +k = 8 +k
Subtracting 8 we find k to be ...
k = 7 -8 = -1
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And the sum of constants a, h, and k is ...
a +h +k = 2 +2 -1 = 3
The sum of the constants is 3.
Answer: 0.01% in decimal form=0.0001 and in fraction form=1/10000
Step-by-step explanation:
Step 1 To convert the percentage in decimal form.
A percentage is a ratio expressed as a fraction of 100.
So, 0.01% means 0.01 out of 100.
Therefore,
0.01%= 0.01/100
0.01%= 0.0001
Step 2: Convert the decimal in fraction form.
Remove the point by dividing by 10000
0.01%= 1/10000
The meaning of the result is that helium account for less than one part per 10000 parts of Earth’s atmosphere gases.
That's FALSE.
In the first quadrant the co functions decrease with increasing angles while the non-co functions increase with angle in the first quadrant.
Since reciprocals move in the opposite direction, each reciprocal pair is a co functions and a non co function. So we're FALSE here since we have two co functions, which can't be reciprocals.
In our case, the reciprocal of cosine is secant, and the reciprocal of cotangent is tangent.
D is the correct answer <span />
Answer:
B. 8.0 cubic inches
Step-by-step explanation:
You need to find 190% of the volume of a gumball which is a sphere.
To find 190% of a quantity, multiply the quantity by 1.9.
volume of sphere = (4/3)(pi)(r^3)
diameter = d = 2 in.
radius = r = (1/2)d = (1/2)(2 in.) = 1 in.
volume of sphere = (4/3)(3.14159)(1 in.)^3 = 4.189 in.^3
The volume of a gumball is 4.189 in.^3
Now we need 190% of that volume.
190% of volume of sphere = 1.9 * volume = 1.9 * 4.189 in.^3 = 7.959 in.^3
Rounded to the nearest tenth, the volume is
B. 8.0 cubic inches
