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Zielflug [23.3K]
3 years ago
13

Help please been stuck on this for a week.

Mathematics
1 answer:
Anettt [7]3 years ago
6 0
They give the formula as:
Surface Area =<span> (2 • <span>π <span>• r²) + (2 • <span>π • r • height)</span></span></span></span>
However the 2*PI*r^2 part of the formula is used to calculate the 2 "ends" of a cylinder.  Since the problem states that you are NOT to count any of surface area of the "ends" then you only need the <span>(2 • <span>π • r • height) part of the formula.
So, r = 3 inches and height = 8 * 3 inches, the side area equals
2 * PI * r * height
2 * 3.14159 * 3 * 24 =
</span></span>
<span> <span> <span> 452.39 cubic inches which is the lateral area.</span></span></span>



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Match the key aspect of a function's graph with its meaning
Aliun [14]

Answer:

y- intercept --> Location on graph where input is zero

f(x) < 0         --> Intervals of the domain where the graph is below the x-axis

x- intercept --> Location on graph where output is zero

f(x) > 0         --> Intervals of the domain where the graph is above the x-axis

Step-by-step explanation:

Y-intercept: The y-intercept is equivalent to the point where x= 0. 'x' is the input variable in an equation, therefore the y-intercept is where the input, or x, is equal to 0.

f(x) <0: Notice the 'lesser than' sign. This means that the value of f(x), or 'y', is less than 0. This means that this area consists of intervals of the domain below the x-axis.

X-intercept: The x-intercept is the location of the graph where y= 0, or the output is equal to 0.

f(x) >0: In this, there is a 'greater than' sign. This means that f(x), or 'y', is greater than 0. Therefore, this consists of intervals of the domain above the x-axis.

8 0
3 years ago
4 divided by 1/8 = <br> Please I’m taking math inventory lol
Angelina_Jolie [31]
Your answer is 32! 4 divided by 1/8 is 32.
6 0
3 years ago
1 point) Are the functions f,g, and h given below linearly independent? f(x)=e3x+cos(5x), g(x)=e3x−cos(5x), h(x)=cos(5x). If the
Fynjy0 [20]

Answer:

Functions are linearly dependent (are not linearly independent.)

Step-by-step explanation:

Remember that two functions f(x), g(x) and h(x) are said linearly independent on an interval I if the <em>only solution</em> to the equation

\alpha f(x)+\beta g(x)+\omega h(x)=0, \ \text{for all } x\in I

is the trivial one: α = 0, β = 0, ω = 0. If they are not linearly independent, they are called linearly dependent.

Now, let f(x), g(x) and h(x) be the functions:

f(x)=e^{3x}+\cos(5x),

g(x)=e^{3x}-\cos(5x),

h(x)=\cos(5x).

Then, letting α = 1, β= -1 and ω = -2, we see that:

\alpha f(x)+\beta g(x)+ \omega h(x)=e^{3x}+\cos(5x)-e^{3x}+\cos(5x)+2\cos(5x)=0.

Hence, the functions f(x), g(x) and h(x) are not linearly independent, or equivalently, are linearly dependent.

8 0
3 years ago
Write the equation of the line that passes through (−3, 5) and (2, 10) in slope-intercept form.
Paladinen [302]

Answer:

gradient =y2-y1÷x2-x1

=10-5÷2-(-3)

1

y-y1=m(x-x1)

y-5=1(x-(-3))

y=x+2

7 0
3 years ago
Let the equation C= 2.32 N + 34,180 represent the cost of raising a child, C on an income, N. If the Corlone family has an incom
Genrish500 [490]

Answer:

$126,980

Step-by-step explanation:

Given the equation C = 2.32N + 34,180 where 'C' is the cost of raising a child and 'N' is the income.  If the Corlone family has an income of $40,000, you can use this value for 'N' and solve for 'C':

C = 2.32(40,000) + 34,180

C = 92,800 + 34,180

C = $126,980

8 0
3 years ago
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