Common household electric current is called alternating current because the current alternates direction within the wires. The voltage V in a typical​ 115-volt outlet can be expressed by the function V(t)=163 sin wt Upper V left parenthesis t right parenthesis equals 163 sine omega t





​,





where omega=w






is the angular speed​ (in radians per​ second) of the rotating generator at the electrical plant and t is the time measured in seconds. It is essential for electric generators to rotate at precisely 60 cycles per sec.






How many times does the current oscillate in 0.30






​sec?__times

Answers

Answer 1

Answer:

n = 18 cycles

Step-by-step explanation:

To know how many times does the current oscillates in the given time, you take into account that the number of oscillation can be calculated by using the following expression:

[tex]n=ft[/tex]         (1)

f: frequency of the oscillation of the current

t: time = 0.30s

The frequency is the number of cycles per second, that is, f = 60 cycles/s

You replace the values of f and t in the equation (1):

[tex]n=(60\frac{cycles}{s})(0.30s)=18\ cycles[/tex]

In 0.30s the current oscillates 18 times


Related Questions

If 3* = 54, then which of the following must be true?

Answers

Answer: 3 < pi < 4

Step-by-step explanation:

Alex and Thomas share 30 sweets.They divide them in the ratio 3:2. Which share is Alex?​

Answers

Answer:

Alex : 18

Step-by-step explanation:

3 + 2 = 5

30 ÷ 5 = 6

6 × 3 = 18

6 × 2 = 12

Solve for x in the triangle. Round your answer to the nearest tenth.

Answers

Answer:

x = 5.5 to the nearest tenth.

Step-by-step explanation:

Here we have a right triangle with one angle (65 degrees) given.  Side x is the "side adjacent to the angle" and is to be found.  The hypotenuse is 13.

The cosine function makes use of these three knowns:  the angle, the hypotenuse and the adjacent side.  Thus:

cos 65 degrees = adj / hyp = x / 13, or

x = 13 cos 65

Evaluating this on a calculator, we get  x = 5.49, or x = 5.5 to the nearest tenth.

Help please, will mark brainliest ​

Answers

Answer:

Step-by-step explanation:

LET ORANGES=X

PEARS ARE 3 TIMES =3X

LET CHILDREN=Y

IF WE GIVE 5 ORANGES PER CHILD WE NEED 5Y ORANGES.SO THIS =X

X=5Y........................I

IF WE GIVE 8 PEARS PER CHILD WE NEED 8Y PERARS...THERE ARE STILL 21 PEARS LEFT OUT AFTER THIS THAT IS

8Y+21=3X....................II

SUBSTITUTING FOR X FROM EQN.I..

8Y+21=3*5Y

15Y-8Y=21

7Y=21

Y=3

X==5Y=5*3=15..

SO CHILDREN =3

ORANGES=15

PEARS=3*15=45

THANKYOU AND PLEASE AMRK IT BRAINLIEST

find the values of x and y​

Answers

Answer:

x = 85 Degrees

y = 85 Degrees

Step-by-step explanation:

20 Degrees + 90 Degrees -->

90 and 20 are given => 110 Degrees

e triangle angles sum = 180 Degrees

180 - 110 = 70 Degrees

=> Vertical angles so 25 + x + 70 = 180

x = 85

x + (z) = 180 e sum of half 360

85 + z = 180

z = 95 Degrees

--> z + (y) = 180 e same as above (sum of interior angles)

95 + y = 180

y = 85

Hope this helps!

x^2 + 6x + 5 show equation​

Answers

Answer:

[tex]\boxed{\sf \ \ \ x=-5 \ \ \ or \ \ \ x=-1 \ \ }[/tex]

Step-by-step explanation:

[tex]x^2+6x+5 = x^2+x+5x+5 = x(x+1)+5(x+1)=(x+5)(x+1)[/tex]

so

[tex]x^2+6x+5 = 0 <=> (x+5)(x+1)=0\\\\<=> x = -5 \ or \ x=-1[/tex]

hope this helps

pls help will mark brainliest

Answers

Answer:

[tex]1.11111 * 10^{11}[/tex] or [tex]111111000000[/tex]

Step-by-step explanation:

[tex]\frac{6666666*666666}{1+2+3+4+5+6+5+4+3+2+1}[/tex] turns into [tex]\frac{6666666 * 666666}{36}[/tex]

[tex]\frac{777777 * 777777}{1+2+3+4+5+6+7+6+5+4+3+2+1}[/tex] turn into[tex]\frac{777777^{2} }{49}[/tex]

[tex]\frac{6666666 * 666666}{36}[/tex] - [tex]\frac{777777^{2} }{49}[/tex] reduce these turns into

[tex]1111111 * 111111 - 15873 * 777777[/tex] multiply turns into

[tex]123456654321 - 12345654321[/tex] subtract turns into

[tex]111111000000[/tex]

Answer: 111,111,000

Step-by-step explanation: Logically it should be that

PLS HELP ME GUYS I NEED HELP WITH GEOMETRY

Answers

Answer:

7, -21

Step-by-step explanation:

F could be located 14 to the left of -7 or 14 to the right of -7.  7 and -21 could be the possible locations of F.

What is the equation for a school sales pencils to students for $.25 each. If a student has nine dollars how many pencils can a student by

Answers

Answer:

x=36

Step-by-step explanation:

1=0.25

x=9

0.25x=9

divide both sides by 0.25

so x=36

a student can buy 36pencils with 9 dollars

Answer:

Step-by-step explanation:

9/0.25=9/1/4=9*4=36

The sum of three consecutive integers is 270. Find the integers

Answers

Answer:

Step-by-step explanation:

89,90,91

Answer:

Let's call the first integer x, and therefore, the second and third integers would be x + 1 and x + 2 respectively since they are consecutive. Since their sum is 270 we can write:

x + x + 1 + x + 2 = 270

3x + 3 = 270

3x = 267

x = 89 which means that the answer is 89, 90, 91.

Im not really sure how to answer this

Answers

Answer:

part a is the correct answer

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Dot plot because it is true that Ms. Spencer needs to see the individual data values because she wants to the number of students is most common so for example if 6 people have 2 siblings, she would know that 6 people has 2 siblings because she could could the 6 people!

Line a is parallel to line b. If the measure of <2 is 78, what is the measure of <5

Answers

Step-by-step explanation:

x + 78 = 180

x = 180 - 78

x = 102° for <5

hey pls show some working i need some serious help

Answers

Answer:

[tex]\frac{x^{12}y^{4}}{z^3}[/tex]

Step-by-step explanation:

Step 1: Multiply exponents

[tex]\frac{y^{6/6}z^{-6/2}}{x^{-12}y^{-6/2}}[/tex]

Step 2: Simplify

[tex]\frac{yz^{-3}}{x^{-12}y^{-3}}[/tex]

Step 3: Flip the negative exponents

[tex]\frac{x^{12}y^{4}}{z^3}[/tex]

SOMEONE PLEASE HELP ME ASAP PLEASE!!!​

Answers

Answer:

243,729

Step-by-step explanation:

You just need to multiply each number by 3.

I hope this help you :)

Answer:

243, 729

Explanation:

To solve this problem we must first understand what the pattern is in the sequence. Once we understand the pattern, we can then apply it to the final known term to find the next two terms.

Take a look at the sequence given:

1, 3, 9, 27, 81,...

Let's start by figuring out how they got the second term in the sequence. To do that, identify what basic operation and number must be applied. This will reveal the pattern.

1 - first term

3 - second term

1 ? ? = 3

1 × 3 = 3

So, this means the sequence multiplied three to get the next term. Therefore, the pattern should be 'multiply three' to get the next term. Just to be sure the pattern we found is correct, apply it to the given sequence.

1, 3, 9, 27, 81,...

1 × 3 = 3

3 × 3 = 9

9 × 3 = 27

27 × 3 = 81

So, since 'multiply three' every time gives us the next term, the pattern is correct.

Finally, let's continue the pattern to find the next two terms.

81 × 3 = 243

243 × 3 = 729

Therefore, the next two terms in the sequence are 243, 729.

PLZ HELP Find the surface area of this rectangular pyramid. 48.5 square inches 48 square inches 31.75 square inches 55 square inches

Answers

Answer:

48.5

Step-by-step explanation: i just did the problem

Answer:

48.5 is your answer

Step-by-step explanation:

A car of mass 1200 kg, travelling at a steady speed of 15 m/s performs an emergency stop which takes 4.5 seconds. What braking force was applied by the driver and car to achieve this?

Answers

Answer:

4000 N

Step-by-step explanation:

this question should be in physics actually

m = 1200 kg

initial velocity = vo = 15 m/s

final velocity = vt = 0 because it stops

time needed = t = 4.5

so we can find the Force F by these step

first find deacceleration

vt = vo + at

0 = 15 + a(4.5)

15 = -4.5a

a = - 15/4.5 = - 10/3 = - 3.33 m/s²

F = m.a = 1200 . 10/3 = 4000 N

if a=3i+9j and b=4i-6j, find 5a-3b Write your answer in the form i + j.

Answers

Answer:

3i + 63j

Step-by-step explanation:

Step 1: Replace the variables with the given statements

5(3i+9j) - 3(4i-6j)

Step 2: Distribute

15i + 45j -12i + 18j

Step 3: Combine like terms

3i + 63j

Find the output, y, when the input, x is −4

Answers

Answer:

i mean if i was you it would be 4 postive , in my math head

Step-by-step explanation:

Someone with the right answer help me

Answers

Answer:

46 degrees.

Step-by-step explanation:

Sin(angle) = 5/7. Using a calculator, this angle is thus 45.6, or approximately 46 degrees.

The following data summarizes
yesterday's orders at Sizzlin' Skillets. 3
Vegetable, 6 Chicken, 2 Pork, 2 Beef, 5
Shrimp. Based on this data, what is a
reasonable estimate of the probability
that the next type of stir fry ordered is
vegetable?
A: 0.11
B: 0.17
C: 0.28
D: 0.33​

Answers

Answer: 3/21=1/7

Step-by-step explanation:

What is the area of a rectangle with vertices (-8, -2), (-3,-2).(-3,-8), and (-8, -B)?

Answers

Answer:

The area of the rectangle would be 20 square units.

Step-by-step explanation:

The distance between the points (-8, -2) and (-3,-2) is 5. This is the length of the rectangle.  The distance between (-3,-6) and (-3,-2) is 4. This is the width of the rectangle. To find the area, multiply the length and the width to get the 20 square units as the area.

Answer:

Area = 20

As B = -4

Where -3-1 = -4

We look at x for first measure = -8 -3 = 5

We look at y first sequence change for second measure = -B

x/y = -3-8 /-8 + B

= -3-8 = -8(-8)+B

B = -3+B = -3+1

B= -3+1 = -4

Second measure = -8-4 = 4

Therefore, using both measures in bold : the Area = 4 x 5  = 20  

Step-by-step explanation:

Find the measure of angle x in the figure below:
to

Answers

Answer:

70

Step-by-step explanation:

55 + 55 = 110

180 - 110 = 70

The angle is congruent to 70º

Answer:

70°

Step-by-step explanation:

Angles in a triangle add up to 180°.

180° - 55° - 55° = 70°

Vertically opposite angles, so x° = 70°.

Jaxon’s mother spends more than 2 hours cleaning the house. The inequality x greater-than 2 represents the situation. Which graph represents the inequality? A number line going from negative 3 to positive 7. An open circle is at 2. Everything to the right of the circle is shaded. A number line going from negative 3 to positive 7. An open circle is at 2. Everything to the left of the circle is shaded. A number line going from negative 3 to positive 7. A closed circle is at 2. Everything to the right of the circle is shaded. A number line going from negative 3 to positive 7. A closed circle is at 2. Everything to the left of the circle is shaded.

Answers

Answer:

A number line going from negative 3 to positive 7. An open circle is at 2. Everything to the right of the circle is shaded.

Step-by-step explanation:

x > 2 is the inequality

It is open circle at 2 as 2 is not included. Shaded to the right of the circle as it should be greater than 2

------------------

A number line going from negative 3 to positive 7. An open circle is at 2. Everything to the right of the circle is shaded.

Yes, this is the correct option

A number line going from negative 3 to positive 7. An open circle is at 2.  Everything to the left of the circle is shaded.

No, it should be right not left

A number line going from negative 3 to positive 7. A closed circle is at 2. Everything to the right of the circle is shaded.

No, it should be open circle as 2 is not included

A number line going from negative 3 to positive 7. A closed circle is at 2. Everything to the left of the circle is shaded.

No, it should be open circle and right side to be shaded, not left

Answer:

It's A I did the test. I got 100%.

Step-by-step explanation:

Please give brainliest if it helped you! Thanks, have a great day <3

Selena has 31 days to complete her quilt for the county fair. The blue squares in the quilt can be sewn at a rate
of 4 squares per day, and the white squares at a rate of 7 squares per day. The quilt can have up to 96 squares
total. The blue fabric b costs about $0.80 per square and the white fabric w costs about $1.20 per square. Selena
wants to keep costs at a minimum. Write an inequality that expresses the total number of squares to be sewn.
Select one:
a. 4b + 7w < 96
b. 4b + 7w < 31
c. b + w <31
O d. b/4 + w/7 < 31

Answers

Answer:

The answer is a

Step-by-step explanation:

Becuase its right

Answer:

This is not an answer, just my though process:

Step-by-step explanation:

The fastest method would use all white squares:

96 white squares would take 13.7 days to complete and cost $115.20.

The cheapest method would use all blue squares:

96 blue squares would take 24 days to complete and cost $76.80.

As we can see, time is not the limiting step, the maximum of 96 squares is limiting.

An inequality equation should use the limiting step for it to be useful. Therefore, a, is most likely the answer.

A more concise answer would be: [tex]4b\leq 96[/tex]

(139) HELLLLLLLLLLLLLLLLLLLLLLLLLP

Answers

Answer:

Step-by-step explanation:

-3.25a+4a=2-5

0.75a=-3

a = -4

Tell me if its right

Which expression is equivalent to -12 (3x-3/4)? a. -36x-8 b. -36x+8 c. -36x-9 d. -36 x+9

Answers

Answer:

-36x +9

Step-by-step explanation:

-12 (3x-3/4)

Distribute

-12*3x - 12*-3/4

-36x +9

Answer:

d

Step-by-step explanation:

-5x[tex]\sqrt{3}[/tex]+11=-34

Answers

Answer:

-5√3x = -45

√3x = 9

x = 3√3

1/2(8+6)-2=4+x-2 pls explain the steps on how to get the answer

Answers

This is how you solve 1/2(8+6)-2=4+x-2

Answer:

3

Step-by-step explanation:

1/2(8+6)-2=4+x-2

1/2*14 -2 = 2+x

7-2=2+x

5=2+x

x=5-2

x=3

In 1995, the USPS approximated that they handled 1.8 x 10^11 pieces of mail. In 2010, the
USPS reported that they handled 1.7 x 10^11 pieces. How many more pieces of mail were
handled in 1995 than in 2010?

Answers

Answer:

[tex]1 \times 10^{10}[/tex] more pieces of mail were handled in 1995 than in 2010.

Step-by-step explanation:

We are given that in 1995, the USPS approximated that they handled  [tex]1.8 \times 10^{11}[/tex] pieces of mail and in 2010, the USPS reported that they handled [tex]1.7 \times 10^{11}[/tex]  pieces.

To find how many more pieces of mail were handled in 1995 than in 2010, we do subtraction of the pieces of mail that were handled in both the years.

Pieces of mail handled in 1995 = [tex]1.8 \times 10^{11}[/tex]

Pieces of mail handled in 2010 = [tex]1.7 \times 10^{11}[/tex]  

As it is clear that more pieces of mail were handled in 1995.

So, Pieces of mail handled in 1995 - Pieces of mail handled in 2010 = [tex](1.8 \times 10^{11}) -(1.7 \times 10^{11})[/tex]

=  [tex]10^{11} \times (1.8 -1.7)[/tex]

=  [tex]10^{11} \times 0.1[/tex] = [tex]1 \times 10^{10}[/tex]

Hence, [tex]1 \times 10^{10}[/tex] more pieces of mail were handled in 1995 than in 2010.

Find the average rate of change of the function

f(x) = x² + 9x from x1 = 1 to x2 = 5.

Answers

Answer:

15

Step-by-step explanation:

The function is;

f(x) = x² + 9x

We are to find the average rate of change from point [tex]x_{1}[/tex] = 1 to point [tex]x_{2}[/tex] = 5

Average rate of change = [tex]\frac{f(x+h) - f(x)}{h}[/tex]  where h is the change in x-axis

When x = 1 , f(x) = 1² + 9(1) = 10

When x = 5, f(x) = 5² + 9(5) = 70

f(x + h) - f(x) = 70 - 10 = 60

h = 5 - 1 = 4

So average rate of change = [tex]\frac{60}{4}[/tex] = 15

The average rate of change of the function f(x) = x² + 9x from x₁ = 1 to

x₂ = 5 will be 15.

What is Average rate?

The average rate change is defined by divide the change in y - values by the change in x - values.

Given that;

The function is defined as;

⇒ f(x) = x² + 9x ; from x₁ = 1 to x₂ = 5

Now,

The formula for the average rate change is given as;

Average change = f (x + h) - f (x) / h

Where, h is change in x - axis.

Since, The function is;

f(x) = x² + 9x

When,  x₁ = 1

f(x) = x² + 9x

f(1) = 1² + 9

f (1) = 10

When, x₂ = 5

f(x) = x² + 9x

f(x) = 5² + 9 x 5

f (5) = 25 + 45

f (5) = 70

So, Average change = f (x + h) - f (x) / h

Average change = 70 - 10 / (5 - 1)

                         = 60 / 4

                         = 15

Thus, The average rate of change of the function f(x) = x² + 9x from x₁ = 1 to x₂ = 5 will be 15.

Learn more about the average rate visit:

https://brainly.com/question/27849077

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