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yan [13]
3 years ago
11

\times \frac{5}{4} " align="absmiddle" class="latex-formula">
.....................​
Mathematics
1 answer:
podryga [215]3 years ago
3 0

Answer:

=  \frac{5}{2}  = 2 \frac{1}{2}

Step-by-step explanation:

2 \times  \frac{5}{4}

2 \div 2 \times  \frac{5}{4 \div 2}

\boxed{\green{=  \frac{5}{2}  = 2 \frac{1}{2} }}

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A sinusoidal function whose period is 1/2, maximum value is 10, and minimum value is -4, has a y-intercept of 3. What is the equ
nikdorinn [45]
Period of sin wave = 1/2
Period of parent sine function is 2π.

This means the x value of sine function (sin(x)) has to be divided by 4π to get a period of 1/2 because 2π/4π = 1/2

Thus, our function will be of the form: sin( \frac{x}{4 \pi })

Maximum Value = 10 
Minimum Value = -4

Amplitude of the function = (Maximum Value - Minimum Value)/2
So, amplitude of the function is 7 

Thus, the function will be of the form:

7sin( \frac{x}{4 \pi } )

The function has a y-intercept other than zero, this means the function will be of the form:

y=7sin( \frac{x}{4 \pi } )+k

The y-intercept is 3. This means for x=0, y=3. Using the values, we get:

3=7sin(0)+k \\  \\ 
3=k

Thus the equation of the sinusoidal function becomes:

y=7sin( \frac{x}{4 \pi } )+3

6 0
3 years ago
PLEASE HELP
algol [13]

Answer:

Step-by-step explanation:

6 0
2 years ago
Write 0.0007654 * 10^0 in scientific notation, then state the order of magnitude for it.
Bas_tet [7]

remember that to put a number in scientific notation is necessary to have the first digit of the number different to 0, so

0.0007654\cdot10^0=7.654\cdot10^{-4}

to calculate the order of magnitude, if the number is greater than 3.16, we assume it as a 10, so in this case as 7.654 > 3.16 we get that the order is

10\cdot10^{-4}=10^{-3}

So the order is 10^-3

5 0
1 year ago
Which statement is correct using "is not equal to'' (≠)? A) 70 pieces of candy divided equally between 5 friends _____ 14 pieces
Ratling [72]

Answer: C. 115 pieces of candies divided equally between 5 friends is not equal to 21 each

Step-by-step explanation: 115 divided by 5 is 23 each and not 21.

8 0
3 years ago
There are 28 total students in Mr. Flynn’s class. The ratio of his students who are in the play to those who are not in the play
PolarNik [594]
First, you calculate the total amount of parts : 2 + 5 = 7
Next, divide the number by the total amount of parts : 28 ÷ 7 = 4
After that, you multiply the answer by the amount of parts needed on both sides of the ratio : 4 × 2 = 8 and 4 × 5 = 20
Finally put these answers back into the ratio : 8:20
So there are 8 students in the play

To check, make sure both sides of the ratio add up to the original number : 8 + 20 = 28
4 0
3 years ago
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