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2 years ago

If y = sin (ax + b), where a & b are constants, which of these is true

Mathematics

1 answer:

Ilya [14]2 years ago

3 0

Step-by-step explanation:

We have y = sin(ax + b).

=> dy/dx = a * cos(ax + b)

=> d²y/dx² = a[a * -sin(ax + b)] = a² - a * sin(ax + b).

Therefore d²y/dx² = a² - ay,

d²y/dx² - a² + ay = 0.

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At the district competition for 5th grade jump-roper of the year, the following number of jumps without stopping were recorded p

deff fn [24]

First, we arrange the data from least to greatest:
90, 100, 100, 200, 203, 224, 233, 237, 245, 257, 264, 265, 265, 266, 277, 279, 285, 288, 288, 290, 290, 291, 291, 300

There are 24 data all in all. The mean is calculated by dividing by 24 the sum of all the data.
mean = (5828)/24242.83

The median of the number of jumps is the mean of the 12th and 13th term.
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2 years ago

Que

Alex777 [14]

Answer:

A. 12

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2 years ago

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The sum of the digits of a two-digit number is 8. The difference between the number and the reversed number is 10 more than the

Vesna [10]

Answer:

The number is 62

Step-by-step explanation:

Let the digits of the number be T and U;

A 2 digit number is represented as: 10T + U

So,

$T + U = 8$

$10T + U - (10U + T) = 10 + 10U + T$

Required

Find the digit

Make U the subject in the first equation

$U = 8 - T$

Substitute 8 - T for U in the second

$10T + U - (10U + T) = 10 + 10U + T$

$10T + 8 - T - (10*(8-T) + T) = 10 + 10(8 - T) + T$

$10T + 8 - T - (80-10T + T) = 10 + 80 - 10T+ T$

$10T + 8 - T -80+10T - T = 10 + 80 - 10T+ T$

Collect Like Terms

$10T + 10T - T- T + 8 -80 = 10 + 80 - 10T+ T$

$18T -72 = 90 - 9T$

$9T + 18T = 90 + 72$

$27T = 162$

$T = 162/27$

$T = 6$

Recall that:

$U = 8 - T$

$U = 8 - 6$

$U = 2$

<em>Hence, the number is 62</em>

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2 years ago

Which is better to buy, 3 pounds for $8.31 or 5 pounds for $12.95? Explain.

vaieri [72.5K]

5 pounds do the math

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3 years ago

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What is 8/9 of 3/8 equal to

Vaselesa [24]

8/24 is the answer

Let’s draw a picture to figure that out.
Let’s make a rectangle and split it into eight pieces since we are finding 8/9 of 3/8. Next, we will circle 3/8 because that is what we are diving up. Then we split the 3/8 into nine pieces since we are diving by 8/9. Then we will have one more group of three to split into nine pieces, so let’s do that. Then, since 9 divided by 3 is 3, we will split the last two pieces into 3 pieces each. Then we will shade in 8/9 of the circled pieces. Count all the pieces now, which should be 24 pieces. Then how many of those are shaded? 8/24 is the answer.

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3 years ago