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disa [49]
3 years ago
15

Determine the 20th derivative of y = sin(2x).

Mathematics
1 answer:
snow_lady [41]3 years ago
4 0
1st derivative = 2 cos (2x) 2nd derivative = -4sin(2x) 3rd = -8 cos(2x) . . . 20th derivative= 2^20 sin(2x)
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<1 and <2 form a linear pair. If m<1= 4m<2, find the measure of each of the two angles.
ozzi

Answer:

  • The angle ∠1 = x = 36°
  • The angle ∠2 = 4x = 4(36°) = 144°

Step-by-step explanation:

We know that when two lines meet or intersect, we get a linear pair of angles.

Linear pairs are basically two adjacent angles that form a line.

The measure of two adjacent angles forming a straight line is 180, meaning they are supplementary.

We are given that <1 and <2 forms a linear pair, and

m∠1 = 4m∠2

It means the angle ∠1 is 4 times the measure of angle ∠2.

Let the angle ∠1 be = x

As the angle 1 is 4 times the measure of angle ∠2, so

The angle 2 will be = 4x

As <1 and <2 forms a linear pair, thus the measure of the sum of <1 and <2 will be 180°, so

x + 4x = 180

5x = 180

divide both sides by 5

5x/5 = 180/5

x = 36°

Therefore,

  • The angle ∠1 = x = 36°
  • The angle ∠2 = 4x = 4(36°) = 144°
8 0
3 years ago
Solve for x 5x+7=9x-25
Svetlanka [38]
Subtract 7 both sides
Subtract 9x both side
They cancel out
At the end you divide it
I don’t have access to paper right now sorry
6 0
3 years ago
Read 2 more answers
Quart cartons of milk should contain at least 32 ounces. A sample of 22 cartons was taken and amount of milk in ounces was recor
victus00 [196]

Answer:

32 oz

Step-by-step explanation:

5 0
3 years ago
A taxi company charges a $2.00 base fare plus an additional fare based on a per-mile rate and a per-minute rate. Ryan's first ta
Fed [463]

A $2.00 base fare charge, and per-mile, and per-minute rates related as follows; 3•x + 7•y = 6.5 and 7•x + 14•y = 14, give the distance traveled in the third ride as 4.5 miles

<h3>How can the length of the third ride be calculated?</h3>

The base fare = $2.00

Let <em>x </em>represent the per-mile rate, and let <em>y </em>represent the per-minute rate, we have;

The cost of Ryan's first taxi ride = $8.50

Distance traveled in the first ride = 3.0 miles

Time taken during the first ride = 7 minutes

Therefore;

2 + 3•x + 7•y = 8.5

Which gives;

3•x + 7•y = 8.5 - 2 = 6.5

  • 3•x + 7•y = 6.5...(1)

Distance traveled in the second ride = 7.0 miles

Duration of the second ride = 14 minutes

The second ride cost = $16.00

Therefore;

2 + 7•x + 14•y = 16

Which gives;

7•x + 14•y = 16 - 2 = 14

  • 7•x + 14•y = 14...(2)

Solving the above simultaneous equations by multiplying equation (1) by 2 then subtracting the result from equation (2) gives;

(7•x + 14•y) - 2 × (3•x + 7•y) = 14 - 2×6.5 = 1

x = 1

  • The per-mile rate, <em>x </em>= $1

3•x + 7•y = 6.5

7•y = 6.5 - 3•x

7•y = 6.5 - 3×1 = 3.5

y = 3.5/7 = 1/2 = 0.5

  • The per-minute rate, <em>y </em>= $0.5

Duration of the third taxi ride = 10 minutes

Cost of the third ride = $13.50

Therefore;

2 + 1×a + 10×y = $13.50

Where <em>a </em>is the distance traveled during the third ride, we have;

2 + 1×a + 10×0.5 = $13.50

2 + a + 5 = 13.5

a = 13.5 - 2 - 7 = 4.5

  • The third ride was, <em>a </em>= 4.5 miles

Learn more about simultaneous linear equations here:

brainly.com/question/24085666

#SPJ1

3 0
2 years ago
What Are some ways to describe rhe relationships between sets of Numbers?
vagabundo [1.1K]
<span>We can have the basic inequalities and equalities’ sign. (>, =, <). </span>
<span>These three set of symbols can discern, describe and explain the relationship between of numbers. These signs are used varying in many mathematical operations to explain and find discrepancy between value, sets of values or numbers in single and equitable category. </span>
Examples includes
 6 > 5; 6 is greater than 5; 5 is less than 6
<span> 1 > -1; -1 is less than 1; 1 is greater than -1 </span>
<span>-2 = -2; -2 is equal to -2  <span> </span></span>

7 0
3 years ago
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