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Karolina [17]
2 years ago
10

A 0.143-Henry Inductor is connected in series with a variable resistor to a 208-volt 400-cycle source. For what value of capacit

ance will the current be (a) 1.04 ampere lagging and (b) 1.04 ampere leading?
Mathematics
1 answer:
aleksandr82 [10.1K]2 years ago
8 0

Answer:

A.)359.2, B.)2.5 uf

Step-by-step explanation:

E / I = R

208 / 1.04 = 200 ohms

2*pi*f*L = Xl

6.28*400*.143 = 359.2 ohm

1 / (2*pi*f*Xc) = c

1 /(6.28*400*159.2) = 2.5 uf

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7700 dollars is placed in an account with an annual interest rate of 5.75%. How much will be in the account after 24 years, to t
Amanda [17]

Answer:

A = $18,326.00

(assuming simple interest)

Step-by-step explanation:

Assuming simple interest, the following formula applies:

final amount = (principal amount) x [1  + (annual rate)(time elapsed) ]

or

A = P (1 + rt)

in our case,

P = $7,700

r = 5.75% = 0.0575

t = 24 years

hence,

A = 7700 [ 1 + (0.0575)(24)]

A = 7700 ( 1 + 1.38)

A = 7700 x 2.38

A = $18,326.00  

4 0
2 years ago
9. Ms. Ortiz sells tomatoes wholesale. The function p(x)=–80x2 + 320x – 10, graphed below,
labwork [276]

Answer:

<u>The correct answer is B. $310 at $2 per kilogram</u>

Step-by-step explanation:

1. Let's find out the maximum profit Ms. Ortiz can make with a loaf of tomatoes:

function p(x)=–80x² + 320x – 10

For x = 1, price per kilogram of tomatoes would be: 4 - x = 3

–80x² + 320x – 10, replacing with x = 1

-80 * 1² + 320 * 1 - 10 = -80 + 320 - 10 = 230

For x = 2 price per kilogram of tomatoes would be: 4 - x = 2

–80x² + 320x – 10, replacing with x = 2

-80 * 2² + 320 * 2 - 10 = -320 + 640 - 10 = 310

For x = 3, price per kilogram of tomatoes would be: 4 - x = 1

–80x² + 320x – 10, replacing with x = 3

-80 * 3² + 320 * 3 - 10 = -720 + 960 - 10 = 230

<u>The correct answer is B. $310 at $2 per kilogram</u>

7 0
1 year ago
"On a map, 0.25 inches represents 1 mile. What is the area of a rectangle on the map that is 3.75 inches long and 2.25 inches wi
Vika [28.1K]
0.25 inches represents 1 mile

----------------------------------------------
Find 1 inch:
----------------------------------------------
1 inch represents 1 ÷ 0.25 miles
1 inch represents 4 miles

----------------------------------------------
Find 3.75 inches:
----------------------------------------------
1 inch represents 4 miles
3.75 inches represent 4 x 3.75 miles
3.75 inches represent 15 miles

----------------------------------------------
Find 2.25 inches:
----------------------------------------------
1 inch represents 4 miles
2.25 inches represent 4 x 2.25 miles
2.25 inches represent 9 miles

----------------------------------------------
Find Area:
----------------------------------------------
Area = Length x Width
Area = 15 x 9 
Area = 135 miles²

----------------------------------------------
Answer: 135 miles²
----------------------------------------------
6 0
2 years ago
Read 2 more answers
A pool is comprised of a rectangle with 2 semicircles on the ends.
pychu [463]

Answer:

Step-by-step explanation:

The formula for determining the area of a rectangle is expressed as

Area = length × width

Length = 100 m

Width = 52 m

Area of rectangle = 100 × 52 = 5200 m²

A semicircle is half of a circle

The formula for determining the area of a semicircle is

Area = 1/2 × πr²

Diameter = 52 m

Radius = diameter/2 = 52/2

Radius = 26 m

The area of each semicircle is

1/2 × 3.14 × 26² = 1061.32 m²

The area of the surface of the pool is

1061.32 + 1061.32 + 5200 = 7322.64 m²

6 0
2 years ago
Read 2 more answers
What is 119,000,003 in expanded form
stira [4]
100,000,000+10,000,000+9,000,000+3
3 0
2 years ago
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