Answer:
Step-by-step explanation:
If the impedance is related to the voltage and the current by the formula V = IZ where;
V is the voltage
I is the current
Z is the impedance
Given
I = 0.4+3i
V = 0.3-2i
Voltage V = (0.4+3i)(0.3-2i)
V = 0.4(0.3)-0.8i+0.9i-6i²
V = 0.12+0.1i -6i²
Since i² = -1
V = 0.12+0.1i-6(-1)
V = 0.12+0.1i+6
V = 6.12+0.1i.
Hence the impedance is 6.12+0.1i
can someone help me please?
Answer:
y= 3x-1
Step-by-step explanation:
Use two points from the line to find slope. I'm using (1,2) and (2,5)
Put these values into slope formula and get 5-2/2-1 which simplifies to 3. So slope is 3.
Next, for the y-intercept. If you look closely, the line intercepts the y-axis at (0,-1), so our y-intercept is -1.
Put the equation together to get y=3x-1
Hope it helped.
f (x) = 2x + 4
Solve for x when f (x) = 17
(IF YOU GET A DECIMAL, LEAVE IT AS A DECIMAL)
Write the equation of a line that is perpendicular to y=2/7x +9 and that passes through the point (4,-6).
Answer:
[tex]y=-\frac{7}{2}x+8[/tex]
Step-by-step explanation:
Given the equation
[tex]y\:=\:\frac{2}{7}x+9[/tex]
comparing the equation with the slope-intercept form
[tex]y =mx+b[/tex]
Here,
m is the slope y is the interceptso the slope of the line is 2/7
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so
the slope of the perpendicular line will be: -7/2
Therefore, the point-slope form of the equation of the perpendicular line that goes through (4,-6) is:
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-\left(-6\right)=\frac{-7}{2}\left(x-4\right)[/tex]
[tex]y+6=\frac{-7}{2}\left(x-4\right)[/tex]
[tex]y+6-6=\frac{-7}{2}\left(x-4\right)-6[/tex]
[tex]y=-\frac{7}{2}x+8[/tex]
Find the midpoint of the line segment with end coordinates of (2,0) and (8,8)
Answer:
(5,4)Step-by-step explanation:
[tex]Midpoint = \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(2,\:0\right),\:\\\left(x_2,\:y_2\right)=\left(8,\:8\right)\\\\=\left(\frac{8+2}{2},\:\frac{8+0}{2}\right)\\\\=(\frac{10}{2} , \frac{8}{2} )\\\\Simplify\\\\(5,4)[/tex]
Answer:
(5,4)
Step-by-step explanation:
Which of the following coordinate planes shows the graph of the function y-3=-2(x+2)?
Answer:
-5=x
Step-by-step explanation:
3=-2 (x+2)
-2 (x+2) = -2x-4
3=-2x-4
-4 from 3 and -4
= -7=-2x
do the opposite "-2 to +2 "
=-5=x
HELP ME PLS ILL MARK AS BRAINLESS
Answer:
A. 10:2, simplifies to 5:1
B. 2:6, simplifies to 1;3
C. 5 cars there are 3 trucks
D. Motorcycle
Step-by-step explanation:
A store sells a 10-pound bag of flour for $5.20. If Larry can buy a 2-pound bag of flour at the same rate, what would be the price of the 2-pound bag?
Answer:0.52
Step-by-step explanation:$5.20 divided 10
1.) 1
2. 4
3. 5
4. 3
Answer:
4. 3
Step-by-step explanation:
If you multiply 2 by 3 it'll equal to 6. Same with 7 x 3= 21.
You could also subtract 7 from 2 equalling 5 and 21 - 6 equal to 15. Then you would but y over x giving you 15/5. 15 divided by 5 is 3. So both ways you get 3.
Hope that helps :)
Three friends go grocery shopping together, and each buys the same kind of
strawberries. Akio buys 2 pounds (lb) and pays $1.50. Gordon buys 3 pounds
and pays $2.25. Maria buys 4 pounds and pays $3.00.
Identify the graph and unit price that represent the strawberry costs.
Answer:
Answer: A- 1.50$ for (1 lb) make sure you pick the graph with the coat that go to 7 not 12!
Step-by-step explanation:
but maybe its 1.25
Answer:
1.25
Step-by-step explanation:
Eliza’s backpack weighs 18 and StartFraction 7 over 9 EndFraction pounds with her math book in it. Without her math book, her backpack weighs 14 and StartFraction 7 over 8 EndFraction pounds. How much does Eliza’s math book weigh?
3 and StartFraction 11 over 72 EndFraction pounds
3 and StartFraction 65 over 72 EndFraction pounds
4 and StartFraction 11 over 72 EndFraction pounds
4 and StartFraction 65 over 72 EndFraction pounds
Answer:
2nd option: [tex]3 \frac{65}{72} [/tex] pounds
Step-by-step explanation:
backpack +math book ----- [tex]18 \frac{7}{9} [/tex] pounds
backpack ----- [tex]14 \frac{7}{8} [/tex] pounds
Weight of math book
= (weight of backpack +math book) -(weight of math book)
[tex] = 18 \frac{7}{9} - 14 \frac{7}{8} \\ = 3 \frac{65}{72} [/tex]
Answer:
B. 3 and StartFraction 65 over 72 EndFraction pounds
Step-by-step explanation:
If a coffee bar sells on average 12 ounces of coffee every three minutes during the busy morning hours, how many gallons of coffee do they sell in 4 hours?
Answer:
7.5 gallons
Step-by-step explanation:
divide 12 by 3 to get oz per minute. 4
do 60 × 4 to get total minutes 240
4×240=960
put 960 oz into gallons and get 7.5
Sanjaya is making punch. He uses LaTeX: \frac{1}{3}1 3 c of pineapple juice for every LaTeX: \frac{3}{4}3 4 c of orange juice. How many cups of pineapple juice does he need if he uses 3 c of orange juice? Show your work (psst...Make sure you label or it will be marked wrong).
Answer: [tex]1\dfrac13[/tex] cups of pineapple juice .
Step-by-step explanation:
Equation of direct proportion between x and y:
[tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]
As per given,
Let x = quantity of pineapple juice and y = quantity of orange juice.
[tex]x_1=\dfrac13\[/tex] , [tex]y_1=\dfrac34[/tex] , [tex]y_2=3[/tex]
Put these values in an equation we get
[tex]\dfrac{\dfrac13}{\dfrac34}=\dfrac{x_2}{3}\\\\\Rightarrow\ \dfrac{4}{9}=\dfrac{x_2}{3}\\\\\Rightarrow\ x_2=3\times\dfrac{4}{9}=\dfrac{4}{3}\\\\\Rightarrow\ x_2=1\dfrac13[/tex]
Hence, he needs [tex]1\dfrac13[/tex] cups of pineapple juice .
Answer:
He needs 1 and 1/3 cups of pinapple juice when he uses 3 cups of orange juice.
Step-by-step explanation:
Orange Juice:
3 cups / 3/4 cups = 12/3= 4
Pineapple Juice:
1/3 × 4 = 4/3 cups= 1 1/3 cups
Does anyone know the answer to this and how to solve it? Thanks
Mr. Boon went to the fair and bought 2 churros (x) and 3 sodas(y) for a total of $12.
The equation 2x + 3y = 12 demonstrates the situation.
If the sodas cost $2 each, how much do the churros cost? (Don't forget the units)
Answer:
$3
Step-by-step explanation:
Plug in 2 for y, so you get 2x + 3(2) = 12, and that simplified would be
2x + 6 = 12. Next, subtract 6 from both sides, so you get 2x = 6. Divide 2 by both sides to get 3!
− 3 x + 12 = x , then x =
Answer:
x=3
Step-by-step explanation:
-3x+12=x
12=x+3x
12=4x
x=12
4
x=3 hope it helpu
PLEASE HELP QUICK!!!!! WILL GIVE BRAINIEST!!!!!
Answer:
-2
Step-by-step explanation:
its -2 cuz to find the slope the equation is the second y - the first y over the second x - the first x so -5 - 5 is 10 over 3 - -2 is 5 so it would be -10/5 which simplifies to -2
Which equation is not equivalent to
2x + 15 = 35
F. 4x/5 = 8
G. 2x - 5 = x + 25
H. 2x + 7 = 27
J. 4x/3 = x + 10/3
Answer:
g
Step-by-step explanation:
what two numbers multiply to 1/4 and add to -1
Answer:
25
Step-by-step explanation:
just look it up
Which step contains an error?
A.) Step 2
B.) Step 4
C.) Step 6
D.) Step 8
Step 6 contains an error. Option C is correct
What is trigonometry?Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
The incorrect step is;
[tex]\rm 1 + cos \theta = 2 sin^2\frac{\theta}{2}[/tex]
The correct step is;
[tex]\rm 1 - cos \theta = 2 sin^2\frac{\theta}{2}[/tex]
Because when you multiply the whole equation the cosΘ will be negative and in the given solution it is positive. Step 6 contains an error.
Hence, option C is correct
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Lucia is 5.5 feet tall. She is standing on the roof of a building that is 80 feet tall. She spots a fountain at ground level that she knows to be 122 feet away from the base of the building. What is the measure of the angle of depression formed by Lucia's horizontal line of sight and her line of sight to the fountain? Round your answer to the nearest degree.
Answer:
125°
Step-by-step explanation:
So we know that the total height is 85.5 (building height plus Lucia's height) and that the distance between Lucia and the fountain is 122ft away. As seen in the badly drawn picture below, the question asks us to solve for x, we can do this by first solving for y by using tangent to calculate its value which is the following
tan(y) = opposite / adjacent
tan(y) = 122 / 85.5
tan(y) = 1.4269
y = [tex]tan^{-1}[/tex](1.4269)
y = 54.97
Now that we have the value of y and we know that a straight line has a degree of 180, we can simply subtract the degree of y from 180 to get the degree of x
180 - 54.97 = 125.03
Answer:
about 35°
Step-by-step explanation:
tan^-1(85.5/122)
35.02352736°
=35°
The temperature was 2.5°C below zero. After 4 hours, the temperature was now 5.6°C
above zero. What is the difference in temperature?
Show your work
Explain your answer
And THXS
Ross is shopping for mulch that costs $1.29 per cubic foot. During his first trip to the store, he bought 16.5 cubic feet. He needs another 4.5 cubic feet to complete his landscaping project.
Answer:
$27.09 in all
Step-by-step explanation:
$1.29 × 16.5 = $21.285
$1.29 × 4.5 = $5.805
$21.285 + $5.805 = $27.09
Write an expression for the sequence of operations described below.
j times the product of 4 and 7
J times the product of 4 and 7:
J(4x7)
Answer:
28j
Step-by-step explanation:
4 times 7=28
28 times j= 28j
Walter and Helen are asked to paint a house. Walter can paint the house by himself
in 12 hours and Helen can paint the house by herself in 16 hours. How long would it
take to paint the house if they worked together? Round to the nearest tenth.
The division is one of the four fundamental arithmetic operations. The time it will take both of them together to paint the house is 6.857 hours.
What is Division?The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Let the area that is needed to be painted be x.
Given that Walter can paint the house by himself in 12 hours. Therefore, we can write the rate at which Water paint is,
Rate = Area needed to be painted / Time
= x / 12 hours
= x/12
Further, given that Helen can paint the house by herself in 16 hours. Therefore, we can write the rate at which Helen paint is,
Rate = Area needed to be painted / Time
= x / 16 hours
= x/16
Now, the rate at which they both will paint or the area that they will cover in an hour is,
Rate = (x/12) + (x/16)
= (4x/48) + (3x/48)
= (4x + 3x)/48
= 7x / 48
Furthermore, the time it will take both of them together to paint the house is,
Time = Area needed to be painted / Rate
= x / (7x/48)
= 48/7 hours
= 6.857 hours
Hence, the time it will take both of them together to paint the house is 6.857 hours.
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plzzzzzzzzzz helppppppppppppppppppp
4/5-1/4
Answer:
11/20 is the answer
HELPPPPPPPPPPPPPPPPPPP))))))))************
Answer:
The first option.
Step-by-step explanation:
5*6=30 and 9*6=54. We're just multiplying what we had originally by 6, meaning we'll have the same shade, but in a bigger quantity.
PLEASE HELP. I need an answer by Nov 5
Fill in the missing reasons for the following two-column proof for the following information. Given: M is the midpoint of CD; CM = 3x – 10; MD = 6x – 22 Prove: x = 4
M is the midpoint of CD; CM = 3x – 10 ; MD = 6x - 22 1.?
CM=MD 2.?
3x – 10 = 6x – 22 3. substitution
-3x – 10 = -22 4. Subtraction Property of Equality
-3x = -12 5. ?
x=4 6. Division Property of Equality
Answer:
Step-by-step explanation:
1. M is the midpoint of CD; CM = 3x - 10; MD = 6x - 22; GIVEN
2. CM = MD Definition of Midpoint
3. 3x - 10 = 6x - 22 Substitution Property
4. -3x - 10 = - 22 Subtraction Prop of Equality
5. -3x =-12 Addition Prop of Equality
6. x = 4 Division Prop of Equality
The missing reasons in the two-column proof are:
1. Given
2. Definition of a midpoint
3. Addition property of equality
What is the Addition Property of Equality?To apply the addition property of equality, both sides of an equation is added with equal quantity to make it balanced.
In the two-column proof given, the missing reasons are:
1. Given (the information was stated already)
2. Definition of a midpoint (CM = MD)
3. Addition property of equality (10 was added to both sides of the equation).
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(BRAINLYEST TO RIGHT ANSWER) A group of 281 people is going on a boat tour. If each boat holds 8 people, how many people will be on the last boat?
Answer:
1
Step-by-step explanation:
use division.
281 divided by 8
which is in all 35, but there is a remainder
and that remainder is 1
so one person will be on that last boat
b. Mr. Tyler has an annual salary of
$48,264. How much does he earn each
month?
Answer:
4022
Step-by-step explanation:
48264/12=4022
Answer:
$4,022
Step-by-step explanation:
Because it is an annual salary (yearly), you would take the number and divide it by 12 (the amount of months in a year). This leaves you with $4,022
Translate five times the sum of a number and three into a mathematical expression
Answer:
5(x-3)
Step-by-step explanation:
The word "SUM" means the answer to an "ADDITION".
"SUM" is always used with the word "AND" to indicate which numbers are being added.
The SUM of a number AND -3 is written as:
( x + ( − 3 ) ), or ( x -3 )
(where we have chosen the number to be x .)
But we want FIVE of those sums; this means:
5 ( x − 3 )