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2 years ago

Determine the amplitude and period of each function without graphing.

Mathematics

1 answer:

Luba_88 [7]2 years ago

5 0

Answer:

Step-by-step explanation:

We know for a function:

y = Asinωt

=> on comparison, <u>A = 5 m</u>

=> T = 2π / ω

=> T = 2π / 2

=> <u>T = π seconds</u>

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Casey started a puzzle yesterday and completed 63 of the pieces. Today, he is

liq [111]

Answer:

4 pieces a minute

Step-by-step explanation:

115 minus 63 equals 52. 52 is what they did in 13 minutes so 52 divided by1 3 is 4 so 4.

7 0

3 years ago

Use the point-slope form, y - y1 = m(x - x1), to find the linear equation of a line that passes through the points

Andreyy89

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4 0

3 years ago

Read 2 more answers

3. An electric bill is an essential expense for young people who get their first

Dmitrij [34]

Answer:

Mean = $123.8

Range= $72

Variance= $607.344

Standard deviation=$ 24.64

Step by step explanation:

The list of the data of electricity bill on ascending order

$88,$90,$90,$95,$110,$115,$120,$126,$144,$150

Mean = (summation of($88,$90,$90,$95,$110,$115,$120,$126,$144,$150))/10

Mean = 1238/10

Mean = $123.8

Range= highest value- Lowest VA

Range= 150-88

Range= $72

Variance=( (88-123.8)²+(90-123.8)²+(90-123.8)²+(95-123.8)²+(110-123.8)²+(115-123.8)²+(120-123.8)²+(126-123.8)²+(144-123.8)²+(150-123.8)²)/10

Variance= (1281.64+1142.44+1142.44+829.44+190.44+77.44+14.44+4.84+295.84+408.04+686.44)/10

Variance= 6073.44/10

Variance=$ 607.344

Standard deviation= √variance

Standard deviation= √ 607.344

Standard deviation=$ 24.64

6 0

3 years ago

Colby made $66.50 for mowing 7 lawns. Let x represent the number of lawns mowed and y represent the amount of money earned. Writ

Amanda [17]

Answer:

x = 9.5y

Step-by-step explanation:

7 lawns = $66.50

1 lawn = $66.50 ÷ 7

= $9.50

You now know that for one lawn mowed, the amount of money earned is $9.50. Thus:

1x = 9.5y

x = 9.5y

6 0

3 years ago

A circus acrobat is shot out of a cannon. The equation for the acrobat's pathway can be modeled by h= -16t^2+25. How long will i

Alex_Xolod [135]

For this we almost have the following equation:
$h = -16t ^ 2 + 25
$
We must match the equation to zero:
$-16t ^ 2 + 25 = 0
$
From here, we clear the value of t.
We have then:
$16t ^ 2 = 25

t ^ 2 = 25/16$
We discard the negative root because we are looking for time:
$t = \sqrt{ \frac{25}{16} } 

$
$t = \frac{5}{4}$
Answer:
it will take him to reach the ground about:
$t = \frac{5}{4}$ seconds

5 0

3 years ago