4 3/4 = 19/4
133/(19/4) = 133(4/19) = 1197/19 = 63 mph
An AC circuit operates at 60volts and 1000 Hz. The resistance is 500 ohms and the inductive reactance is 220 ohms. What is the current
The current flowing in the AC circuit is 0.11 A.
The given parameters:
Voltage in the circuit, V = 60 VResistance, R = 500 ohmsInductive reactance, Xl = 220 ohmsFrequency, f = 1000 HzThe impedance of the circuit is calculated as follows;
[tex]Z = \sqrt{R^2 + X_l^2} \\\\Z = \sqrt{500^2 + 220^2} \\\\Z = 546.26 \ ohms[/tex]
The current in the AC circuit is calculated as follows;
[tex]I = \frac{V}{Z} \\\\I = \frac{60}{546.26} \\\\I = 0.11 \ A[/tex]
Thus, the current flowing in the AC circuit is 0.11 A.
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Write an equation of each sentence. Use n to represent the unknown number. You can use the back page for your solution. (2 points each) 11. Six increased by a number is twenty. 12. A number decreased by seven is four. 13. The sum of two consecutive numbers is thirty-one. 14. The sum of twice a number and two is thirteen. 15. One less than a number is eighteen. 16. The square of a number increased by four is twice the number. 17. Twice a number is one-half. 18. The product of a number and its half is eighteen. 19. The average of a number and ninety is seventy. 20. Two more than a number is twelve.
PLEASE HELP Me
Hoped this helped.
[tex]-BrainaicUser1357-[/tex]
Let the number be x
#11
[tex]\\ \sf\longmapsto x+6=20[/tex]
#12
[tex]\\ \sf\longmapsto x-7=4[/tex]
#13
[tex]\\ \sf\longmapsto x(x+1)=31[/tex]
#14
[tex]\\ \sf\longmapsto 2x+2=13[/tex]
#15
[tex]\\ \sf\longmapsto x-1=18[/tex]
#16
[tex]\\ \sf\longmapsto x^2+4=17[/tex]
#17
[tex]\\ \sf\longmapsto x^2/2=18[/tex]
#18
[tex]\\ \sf\longmapsto x+90/2=70[/tex]
84/120 equivalent fraction
Answer:
7/10
this should work
Step-by-step explanation:
Which of the following is a rational number?
Could somebody please explain this to me?
Answer: call 911
Step-by-step explanation: call 911
Complete the statements describe how to convert feet to yards to find the number of yard like the number of feet by the unit rate blank feet per yard
Answer:
divide3 ft/ydStep-by-step explanation:
To find the number of yard, divide the number of feet by the unit rate 3 feet per yard.
If the measure of wyz =27 what is the measure of zyx
Answer:
27
Step-by-step explanation:
compitative property
Help Me someone help
Answer:
5:1
Step-by-step explanation:
divide eatch side
Answer:
It's 1:5
Step-by-step explanation:
Need help. I don't understand this question.
Answer:
The first is 1 and the second is 28 i believe
Step-by-step explanation:
Hope this helps:)
9. Given a scale factor of 3, find the coordinates for the dilation of a triangle with vertices at
(1 point)
(1 4). (4.5), and (2.0).
A 3.7). (7.8). (5.3)
B 3.4) (12,5), (6,0)
C 3.12). (12.15) (6.0)
D (112) (4.15) (2.0)
The coordinates for the dilation of a triangle is (3 12), (12.15), and (6.0).
If the coordinate (x, y) is dilated by a scale factor of k, the resulting coordinate will be at (kx, ky)Given the coordinate of the triangle (1 4). (4.5), and (2.0), if this coordinate is dilated by a factor of 3, the resulting coordinates will be at (3 12), (12.15), and (6.0).
Hence the coordinates for the dilation of a triangle is (3 12), (12.15), and (6.0).
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Points E, D, and H are the midpoints of the sides of ΔTUV. UV=82, TV=106, and HD= 82. Find HE.
Answer:
41
Step-by-step explanation:
53/106 = x/82 similar triangles
x=41
Marty has 6 cans of pain that he can use for the 3 bedrooms he needs to paint. How much paint can Marty use in each bedroom?
A father is 33 years old. Which is 3 less than 12 times his son's age. How old is the son?
Answer:
His son is 3 years old.
Step-by-step explanation:
33 years old ... 3 less than .... = 36
36/12 = 3
what is the solution to the system 3x+2y=-3 and 9x +4y=3
Answer:
x=3, y=-6
Step-by-step explanation:
As you know there are many ways to solve this question! First is Subsitutuion, Second is Elimination, and Third is Graphing!
Let’s begin with our detailed answer:
As you know subsitution is solving for a variable and then it can be used as a variable substitution to figure out x and y.
So in our system of equations:
[tex]\left \ {3x+2y=-3}} \atop {9x+4y=3}} \right.[/tex]
I will just take one equation and solve for x but it actually dosent matter which variable you subsitutue and solve for.
[tex]\left \ {3x+2y=-3}} \atop {9x+4y=3}} \right.[/tex]
To eliminate this question we can divide the top part by -3:
[tex]\left \ {-9x-6y=9}} \atop {9x+4y=3}} \right.[/tex]
Let‘s sum these system of equation and we get: [tex]y=-6[/tex]
We can now insert y as -6 and solve for x:
[tex]3x-12=-3[/tex]
[tex]x=3[/tex]
So, [tex]x=3, y = -6[/tex]
Answer:
(3, - 6 )
Step-by-step explanation:
3x + 2y = - 3 → (1)
9x + 4y = 3 → (2)
Multiplying (1) by - 3 and adding to (2) will eliminate the x- term
- 9x - 6y = 9 → (3)
Add (2) and (3) term by term to eliminate x
0 - 2y = 12
- 2y = 12 ( divide both sides by - 2 )
y = - 6
Substitute y = - 6 into either of the 2 equations and solve for x
Substituting into (1)
3x + 2(- 6) = - 3
3x - 12 = - 3 ( add 12 to both sides )
3x = 9 ( divide both sides by 3 )
x = 3
solution is (3, - 6 )
Help me out please ???????
Answer:
I think it's 33.
Hope that helps you.
Step-by-step explanation:
it will be 33 because the interquartile we give it by Q3 - q1
Q3 median of 84 plus 90 divided by 2 equal 87
q1 equal 54
y = x^2+5x-3
y-x=2
What is the solution of the linear-quadratic system of equations
Answer:
(-5,-3)
(1,3)
Step-by-step explanation:
Solving with substitution
Set both equations to y = ...
y = x^2 + 5x - 3
----------------
y - x =2
y = x + 2
----------------
Substitute one of the Y's with the other Y = equation.
x + 2 = x ^2 + 5x -3
Set one side to 0
0 = x^2 + 4x -5
x^2 + 4x - 5 = 0
Simplify by factoring
(x-1) (x+5)
Get your X values
x-1 = 0
x = 1
x+5 = 0
x = -5
Plug in each X into one of the equations to get your Y value.
1st X
y = x + 2
y = 1 + 2
y = 3
When X = 1, Y = 3
2nd X
y = x + 2
y = -5 + 2
y = -3
When X = - 5, Y = -3
Your answers are (1,3) and (-5,-3)
A submarine descends 45 1/2 feet from the ocean surface , climbs 30 feet ,and then descends an additional 18 3/4 feet. What must the submarine do now to reach the ocean surface?
A. Descends 94 1/4 feet
B. Climb 94 1/4 feet
C Descends 34 1/4 feet
D.Climbs 34 1/4 feet
Answer:
D.Climbs 34 1/4 feet
Step-by-step explanation:
-45.5 + 30 - 18.75 + h = 0
h = 34.25
lines that meet each other at a right angle are called ____
Answer: Perpendicular
Explanation:
One example of a pair of perpendicular lines would be having one horizontal line and one vertical line. They form a right angle which is 90 degrees.
Answer:
Perpendicular lines
Step-by-step explanation:
I think that when two lines meet each other in right angle it ie calledGiven ALMN * AQRS, MZM = 26°, and m2Q = 58°, what is the measure of 2S?
96°
26°
58°
Answer:
96°
Step-by-step explanation:
We assume you intend ...
ΔLMN ~ ΔQRS
Then corresponding angles have the same measure:
∠M = ∠R = 26°
∠L = ∠Q = 58°
∠N = ∠S = 180° -26° -58° = 96° . . . . sum of a triangle's angles is 180°
The measure of angle S is 96°.
What is the third number in this sequence?
Step-by-step explanation:
x = the first number of the sequence
x + (x+1) + (x+2) + (x+3) + (x+4) + (x+5) = 519
6x + 1 + 2 + 3 + 4 + 5 = 519
6x = 504
x = 84
so, the third number is x+2 = 84 + 2 = 86
help me out please ???!!!
The first one lol
..........................
Answer:
√18=√3×3×2=3√2 hope this helps you.
The average price of an item is $42 with a standard deviation of $3
Find a 98% confidence interval about the mean (one decimal place).
Is a value of X=48 unusually high or is it normal? Choose correct explanation!
The mean price goes between $ 41.16 and $ 42.84, so a value of $ 48 is unusually high.
Since the average price of an item is $ 42 with a standard deviation of $ 3, to find a 98% confidence interval about the mean, and determine if a value of X = 48 is unusually high or if it is normal, the following calculations should be done:
(((42 - 3) + (42 + 3)) / 2) x 0.98 = X ((39 + 45) / 2) x 0.98 = X 42 x 0.98 = X 41.16 = X
(((42 - 3) + (42 + 3)) / 2) x 1.02 = X ((39 + 45) / 2) x 1.02 = X 42 x 1.02 = X 42.84 = X
Therefore, as the mean price goes between $ 41.16 and $ 42.84, a value of $ 48 is unusually high.
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What is 180 in./sec in m/min?
274.32 is the answer. Tell me if I need to be more precise.
(a) 3 2. The seventh number in a sequence of numbers is 31 and each number after the first number in the sequence is 4 less than the number immediately preceding it. The 9th number in the sequence is: (b) 43 (c) 39 (d) 47
Answer:
23 because its supposed to be 8 numbers less
What is the value of x + y when x is the additive identity and y = 5?
O 5
O There is not enough information to determine the value.
O - 5
O 0
Answer:
-5.
Step-by-step explanation:
5 + -5 = 0, so i's -5.
Rewrite in simplest terms: (-8x– 6y) + (6x – 3y)
Answer:
-5x - 6y
Step-by-step explanation:
Firstly, you remove any uncessary parentheses and collect like terms.
So that becomes -8x - 6y + (3x)
Hence, the brackets can be removed, which means we can continue to collect like terms which gives the final answer of -5x - 6y
Harry read 1/3 of a book on Saturday and three force of the remainder on Sunday. If he still had 75 pages left how many pages were in the book?
What are the coordinates of B
Answer:
(-4,-5)
Step-by-step explanation:
The coordinates of the midpoint for x = sum of x/2=2
The coordinates of the midpoint for y = sum of y/2=-2
firstly to work out x coordinate:
[tex] \frac{x + 8}{2} = 2[/tex]
rearrange to find x which is -4
work out y coordinate:
[tex]\frac{y + 1}{2} = - 2[/tex]
rearrange to find y which is -5
so coordinates are (-4,-5)
Marsha is driving 630 total miles on a trip. She has already driven 2/5 of the distance. How far has Marsha driven?
Answer:
Marsha has driven 252 miles
Step-by-step explanation:
In order to figure out the problem, you take the total distance and multiply it by the fraction she has gone. This would be 630*(2/5) which would equal 252. Thus, Masha has driven 252 total miles.
Hope this helps!
Answer: 252 miles
Step-by-step explanation:
2.5 x 10^3 times what number is equal to 5 x 10^6?
Answer:
2
Step-by-step explanation:
Answer:
2000.
Step-by-step explanation:
First, calculate both sides. 2.5x10^3= 2500 and 5x10^6=5000000
then divide 5000000/2500 = 2000