Answer:
7.9 centimeters
Step-by-step explanation:
14.8 - 2.4 = 12.4 so you now know the new circumference
12.4/pi = 3.95 which is the new radius
3.95 x 2 = 7.9 which is the new diameter
Using proportions, it is found that the number 96 is 100 times as great as 0.96.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
A number x is 100 times as great as 0.96, meaning that the proportion between the number and 0.96 is of 100, hence:
x/0.96 = 100.
Applying cross multiplication:
x = 0.96 x 100
x = 96.
The number 96 is 100 times as great as 0.96.
More can be learned about proportions at brainly.com/question/24372153
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Answer:
Let x be the number of 3-point questions.
Let y be the number of 5 point questions.
Answer:
<u>x-intercept</u>
The point at which the curve <u>crosses the x-axis</u>, so when y = 0.
From inspection of the graph, the curve appears to cross the x-axis when x = -4, so the x-intercept is (-4, 0)
<u>y-intercept</u>
The point at which the curve <u>crosses the y-axis</u>, so when x = 0.
From inspection of the graph, the curve appears to cross the y-axis when y = -1, so the y-intercept is (0, -1)
<u>Asymptote</u>
A line which the curve gets <u>infinitely close</u> to, but <u>never touches</u>.
From inspection of the graph, the curve appears to get infinitely close to but never touches the vertical line at x = -5, so the vertical asymptote is x = -5
(Please note: we cannot be sure that there is a horizontal asymptote at y = -2 without knowing the equation of the graph, or seeing a larger portion of the graph).
Answer:
First term: -10
Fourth term: -55
Eighth term: -115
Step-by-step explanation:
I am assuming the means -5(3n-1). To find the first term, plug in 1. You will get -5(3*1-1) or -5*2 or -10.
To find the fourth term, plug in 4. You will get -5(3*4-1) or -5*11 or -55.
To find the eighth term, plug in 8. You will get -5(3*8-1) or -5*23 or -115.
So the answers are -10, -55, and -115.
