Answer: D) 10 sin (πx) - 5
<u>Step-by-step explanation:</u>
The range (maximum - minimum) is 5 - (-15) = 20
The amplitude (A) is range (20) ÷ 2 = 10
The vertical shift (D) is maximum (5) - amplitude (10) = -5
Of the given options, only A & D are candidates. Now we need to decide if it is a cos graph (A) or a sin graph (D). If we shift the graph up 5 units (to eliminate the vertical shift) , the graph would pass through the origin. Thus it is a sin graph and the answer must be option D.
Answer:
1/4
Step-by-step explanation:
Assuming the number cube is a six-faced die, you have
1 <u>2</u> 3 <u>4</u> 5 <u>6</u>
three odd numbers, and three even numbers. Therefore, the chance of it landing on an odd number or even number is 3/6, which equals 1/2. <em>That means you have a 50% chance to get an odd number, or an even number.</em>
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So, you have two die. Both have a 50/50 chance of getting an even or odd number. So what's the chance of one landing on an odd number, and the other landing on an even number?
- You would have a 25% chance for an <u>even</u> and then an <u>even</u> number
- You would have a 25% chance for an <u>odd</u> and then an <u>odd</u> number
- You would have a 25% chance for an <u>even</u> and then an <u>odd</u> number
- You would have a 25% chance for an <u>odd</u> and then an <u>even</u> number.
25% as a simplified fraction is 1/4. Therefore, 1/4 is your answer.
Answer: The percentage of the tub after 6 minutes is 30 %
Step-by-step explanation: The calculation can be done as follows
1 minutes= 4 gallons
6 minutes= 4×6
= 24 minutes
If the bathtub can hold 80 gallons of water then the percentage of the tub after 6 minutes can be calculated as follows
= 24/80
= 0.3 × 100
= 30 %
Hence the percentage of the tub will be filled after 6 minutes is 30 %
Please see the link below for more information
the answer is A, sorry if you can't read it quite well
