Answer:
B) 2771 cubic centimeter
Step-by-step explanation:
first find the volume of the cylinder
V=πr^2h
V=3.14*7^2*26
V=4002.39
then find the volume of the cone
V=πr^2h
/3
V=3.14*7^2*24/3
V=1231.5
subtract the volume of the cone from the cylinder
4002.39-1231.5
2770.89
round to the nearest whole number
2771
radius and diameter
The Radius is the distance from the center outwards. The Diameter goes straight across the circle, through the center. The Circumference is the distance once around the circle.
Answer:
x= 12.528
*rounded is 12.53 or 12.5
Step-by-step explanation:
7.3 ^2 + x^2 = 14.5^2
53.29 + x^2 = 210.25
-53.29 -53.29
x^2= 156.96
x= 12.528
The value of the function (f - g)(x) is x² + 3x + 5
<h3>How to solve functions?</h3>
A function is defined as a relation between a set of inputs having one output each.
In a simpler terms, a function relates input and output.
Therefore, let's solve the function (f - g)(x)
f(x) = √16x⁴
g(x) = 3x² - 3x - 5
Therefore,
(f - g)(x) = f(x) - g(x)
(f - g)(x) = √16x⁴ - (3x² - 3x - 5)
(f - g)(x) = √16x⁴ - 3x² + 3x + 5
(f - g)(x) = 4x² - 3x² + 3x + 5
Therefore,
(f - g)(x) = x² + 3x + 5
learn more on function here: brainly.com/question/15607023
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For the seagull to catch the crab, h(t)=g(t) so:
-16t^2+45=-13t+23 add 16t^2 to both sides
45=16t^2-13t+23 subtract 45 from both sides
16t^2-13t-22=0 using the quadratic equation:
t=(13±√1577)/32, since t>0
t=(13+√1577)/32 seconds
t≈1.65 seconds (to nearest hundredth of a second)
And the height that this occurs using either original equation is:
h((13+√1577)/32)≈1.59 ft (to nearest hundredth of a foot)