Based on the central angle theorem, the measure of angle AEB is: 140°.
<h3>What is the Central Angle Theorem?</h3>
According to the central angle theorem, the measure of an intercepted arc = measure of the central angle.
Arc AB = 140° [intercepted arc]
Angle AEB is the central angle.
Thus, based on the central angle theorem, the measure of angle AEB is: 140°.
Learn more about the central angle theorem on:
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Answer:
k = –10
Step-by-step explanation:
From the question given above, the following data were obtained:
f(x) = x³ – 6x² – 11x + k
Factor => x + 2
Value of K =?
Next, we shall obtained the value of x from x + 2. This is illustrated below:
x + 2 = 0
Collect like terms
x = 0 – 2
x = –2
Finally, we shall determine the value of k as illustrated below:
f(x) = x³ – 6x² – 11x + k
x = –2
Thus,
f(–2) = 0
x³ – 6x² – 11x + k = 0
(–2)³ – (–2)² – 11(–2) + k = 0
–8 – (4) + 22 + K = 0
–8 – 4 + 22 + K = 0
10 + k = 0
Collect like terms
k = 0 – 10
k = –10
Thus, the value of k is –10
Answer:
D. $16.42
Step-by-step explanation:
In order to find the sales tax of a product, you need to multiply the product's price by the sales tax in decimal form.
To find the decimal form of a percentage, you simply move the decimal paint two spaces to the left. So, 8.25% in decimal form is 0.0825.
199.99 * 0.0825 = 16.499175
This number is closest to $16.42, so D is the correct answer.
Answer:
Step-by-step explanation:
Answer:
21. y = 75000·0.935^t
22. after 74.6 days
23. y = 27.8112·1.18832^t
24. 18.8% per month
25. 1748
Step-by-step explanation:
22. It is convenient to use the graphing calculator to solve this problem. The number of days is where the exponential curve has the value 500. It is about 74.55 days. (see the first attachment)
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23. y = 27.8112·1.18832^t (see the second attachment)
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24. The rate of change is the difference between the base of the exponential and 1, often expressed as a percentage. The time period is the units of t.
(1.18832 -1) × 100% ≈ 18.8% . . . . per month
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25. Evaluating the function for t=24 gives y ≈ 1748.30425259 ≈ 1748.
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<em>Comment on graphing calculator</em>
A graphing calculator can make very short work of problems like these. It is worthwhile to get to know how to use one well.
