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Lera25 [3.4K]
3 years ago
6

G[f(x)] if g(x) = x2 and f(x) = x + 3.

Mathematics
1 answer:
lesantik [10]3 years ago
7 0
(x+3)2
you need to substitute x in function g(x) with the entire function of f(x)
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The mean of six numbers is 41. If one number is removed, the mean of the five numbers is 46. Find the unknown number.
klasskru [66]
Let n be the sum of all 6 numbers:

In the 1st case n/6 = 41 ==> n =246

in the 2nd case n'/5 = 46===> n' =230, the unknown number is n-n' =246-230

= 16
5 0
3 years ago
When a spherical balloon is filled with air, it has a radius of 3 inches. Which of these gives the best estimate for the volume
marysya [2.9K]
By definition, the volume of a sphere is given by:
 V = (4/3) * (pi) * (r ^ 3)
 where,
 r: radius of the sphere.
 Substituting we have:
 V = (4/3) * (pi) * ((3) ^ 3) = 113.08 in ^ 3
 answer
 the best estimate for the volume of air in the balloon in cubic inches is
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3 0
3 years ago
Read 2 more answers
Select the correct answer from each drop-down menu.
serious [3.7K]

Answer:

Center: (4,8)

Radius: 2.5

Equation: (x-4)^2+(y-8)^2=6.25

Step-by-step explanation:

It was given that; the endpoints of the longest chord on a circle are (4, 5.5) and (4, 10.5).

Note that the longest chord is the diameter;

The midpoint of the ends of the diameter gives us the center;

Use the midpoint formula;

(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )

The center is at; (\frac{4+4)}{2} ,\frac{5.5+10.5}{2}=(4,8)

To find the radius, use the distance formula to find the distance from the center to one of the endpoints.

The distance formula is;

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

r=\sqrt{(4-4)^2+(10.5-8)^2}

r=\sqrt{0^2+(2.5)^2}

r=\sqrt{0^2+(2.5)^2}=2.5

The equation of the circle in standard form is given by;

(x-h)^2+(y-k)^2=r^2

We substitute the center and the radius into the formula to get;

(x-4)^2+(y-8)^2=2.5^2

(x-4)^2+(y-8)^2=6.25

6 0
3 years ago
Beth took out a 12-year loan for $35,000 for a new pool. If the interest rate is 10.2%, how much will she pay in interest?​
Anastasy [175]

Answer:

35000×10.2%=3570 Interest will be paid

35000+3570=38570 full amount will be paid in the bank

8 0
3 years ago
Read 2 more answers
Plz help<br> PRE CALC !!!!!!!
sergey [27]

Answer:

I think it's the second one. 5.6487

Step-by-step explanation:

5 0
3 years ago
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