Answer:
575in³
Step-by-step explanation:
Volume for a Sphere = 4/3πr³
Radius = 13/2 = 6.5
4/3(3.14)(6.5³) = 1149.763333
Because it's half a sphere, just divide by 2
1149.763333/2 = 574.881667
Rounded to the nearest cubic inch = 575
C = (5,4)
D = (4,2)
Dilation with factor 8 => for the same x, y increase by a factor of 8
=> C' = (5, 8*4) = (5, 32)
=> D' = (4, 8*2) = (4, 16)
slope of C'D' = [32 - 16] / [5 -4 ] =16
You can also see that the slope of CD = [4 - 2] / [5 - 4] = 2
Then, the new slope is 8 times the old slope, this is it was multiplied by the same factor, 8.
Answer: 16
C) !!!
In ratios, 'things go with the same things', so recliners have to be both in the numerator or denominator. The 8 is misleading. That's the total, and the problem is all about recliners and couches only
Each graph has been matched with the logarithmic function it represents as follows:
- f(x) = 3 - 4In (x-2) = graph 3.
- f(x) = 3 - Inx = graph 1.
- f(x) = In(x + 1) = graph 4.
- f(x) = 2In(x + 3) = graph 2.
<h3>What is a function?</h3>
A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables.
<h3>The types of function.</h3>
In Mathematics, there are different types of functions and these include the following;
- Piece-wise defined function.
<h3>What is a logarithm function?</h3>
A logarithm function can be defined as a type of function that represents the inverse of an exponential function. Mathematically, a logarithm function is written as follows:
y = logₐₓ
In this exercise, you're required to match each graph with the logarithmic function it represents as shown in the image attached below:
- f(x) = 3 - 4In (x-2) = graph 3.
- f(x) = 3 - Inx = graph 1.
- f(x) = In(x + 1) = graph 4.
- f(x) = 2In(x + 3) = graph 2.
Read more on logarithm function here: brainly.com/question/13473114
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Answer:
56+56=112 16kg
112+42=154 42 = 6kg
Step-by-step explanation:
