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4 years ago

If f(x) = 3x + 2 and g(x) = x2 + 1, which expression is equivalent to (f circle g) (x)?

Mathematics

3 answers:

Softa [21]4 years ago

6 0

Answer: 6x + 5

Step-by-step explanation:

f(x) = 3x + 2 g(x) = 2x + 1

(fog)(x) = f(g(x)

= f(2x+1)

= 3(2x+1)+2

= 6x + 3 + 2

= 6x + 5

erastova [34]4 years ago

5 0

Answer:

(3x+2)^2+1

Step-by-step explanation:

(f°g)(x) =g(f(x)) =g(3x+2)=(3x+2)^2 +1

Naetoosmart2 years ago

0 0

its C) y'all

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The radius of the cone is 1.25 inches, and its height is 2.75 inches. If the diameter of the bubble gum ball is 0.5 inches, what

nasty-shy [4]

<h2>Explanation:</h2><h2></h2>

The volume of a cone can be found as:

$V=\frac{1}{3}\pi r^2 h \\ \\ \\ Where: \\ \\ V:Volume \\ \\ r:radius \ of \ base \\ \\ h:height$

Given the radius and height, we can find the volume of the cone:

$V=\frac{1}{3}\pi r^2 h \\ \\ V=\frac{1}{3}\pi (1.25)^2(2.75) \\ \\ V=\frac{1}{3}\pi(1.5625)(2.75) \\ \\ V\approx 4.5in^3$

The volume of a sphere is:

$V=\frac{4}{3}\pi r^3 \\ \\ \text{Each gum ball has a diameter of 0.5in, so the radius is:} \\ \\ r=\frac{0.5}{2}=0.25in$

So, for each gum ball the volume is:

$V=\frac{4}{3}\pi r^3 \\ \\ V=\frac{4}{3}\pi (0.25)^3 \\ \\ V=0.065in^3$

Therefore, the he closest approximation of the volume of the cone that can be filled with flavored ice is:

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4 years ago

How many solutions does 0.5(x−3)=3x−2.5 have?

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Answer:

Step-by-step explanation:

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3 years ago

A parallel circuit consists of two capacitor c1=10mF and c2=15mF what is the total Capacitance

tensa zangetsu [6.8K]

Answer:

C = 25 mF

Step-by-step explanation:

Given that,

Two capacitors with capacitances 10mF and 15mF are connected in parallel.

We need to find the total capacitance of the capacitors.

For a parallel combination, the equivalent capacitance is given by :

$C_P=C_1+C_2$

Substituting the values,

$C_P=10+15\\\\=25\ mF$

So, the total capacitance of the combination of capacitors is 25 mF.

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