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Lena [83]
4 years ago
8

Find script l{f(t)} by first using a trigonometric identity. (write your answer as a function of s.) f(t) = sin 6t cos 6t

Mathematics
1 answer:
RSB [31]4 years ago
5 0
∵ f(t) = sin 6t cos 6t = (0.5) * 2 sin 6t cos 6t
∴ f(t) = 0.5 sin 12t

∵ l(sin \ at) =  \frac{a}{ s^{2} +a^2} 

∴l[f(t)] = l (0.5 \ sin \ 12t) = 0.5* \frac{12}{s^2+12^2} =  \frac{6}{s^2+144}
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Jamel and his sister received a total of $250 for their birthday. If Jamel received $30 less than his sister, how much did each
alexandr402 [8]

Answer:

Jamel - 110 Sister - 140

Step-by-step explanation:

We are going to work backwards. If Jamel received 30 dollars less than his sister, then the total goes down to $220. Then you divide by 2 to split the money between each equally. Now Jamel has $110 and his sister has $110. But you have to add the original $30 back to his sister's total because she got  $30 more. Hence Jamel has $110 and his sister has $140.

5 0
3 years ago
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I have 7 hundreds blocks, 5 tens blocks, and 8 ones blocks. I use my blocks to model two 3-digit numbers. What could my two numb
lawyer [7]
There 7 blocks of hundreds which means each such block is equivalent to 100.
There are 5 blocks of tens, which means each such block is equivalent to 10.
There are 8 blocks of ones, which means each such block is equivalent to 1.

The total of these blocks will be = 7(100) + 5(10) + 8(10) = 758

We can make several two 3-digit numbers from these blocks. An example is listed below:

Example:
Using 3 hundred block, 2 tens blocks and 4 ones block to make one number and remaining blocks to make the other number. The remaining blocks will be 4 hundred blocks, 3 tens blocks and 4 ones blocks
The two numbers we will make in this case are:

1st number = 3(100) + 2(10) + 4(1) = 324
2nd number = 4(100) + 3(10) + 4(1) = 434

The sum of these two numbers is  = 324 + 434 = 758
i.e. equal to the original sum of all blocks.

This way changing the number of blocks in each place value, different 3 digit numbers can be generated. 
5 0
3 years ago
A health and fitness club surveys 40 randomly selected members and found that the average weight of those questioned is 157 lb.
svp [43]

Answer:

B. Statistic

Step-by-step explanation:

The average weight of those questioned which is 157 lb. from the survey of 40 randomly selected member of a health and fitness club is an example of a statistic.

It is a calculated numerical value that characterises some aspects of a sample set of data.

Statistic refers to a numerical piece of information that uses quantified models, representations and synopses for a given set of a study. Statistic is used to to estimate the true value of a parameter in a population.

6 0
3 years ago
Can someone help please
postnew [5]

Answer: A

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"down" means you will be subtracting from y ( y-axis is up and down)

Option C shows x - 4 and subtracts 3.

MY DUM B A$.S WASNT THINKING ITS C

8 0
2 years ago
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If 90 containers of candy hearts cost $2.70 what is the constant of proportionality
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Answer:

33.3 hope this helps

Step-by-step explanation:

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