The formulae for resistance R is R = V/I
What is Ohm's Law ?
Providing that all physical conditions and temperatures are constant, Ohm's law says that the voltage across a conductor is directly proportional to the current flowing through it.
Ohm's law is given as :
V = IR
Now to find the value of R we divide both side by current I :
[tex]\begin{aligned}V&=IR\\R&=\frac{V}{I}\end{aligned}[/tex]
Therefore, the formulae for resistance R is R = V/I
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How would I graph and solve this inequality?? Help please! Press question to view image.
a function is represented by the set of ordered pairs shown below.
{(-4,3), (-1,3), (0,3), (1,5), (3,7)}
what is the range of this function
Final answer:
The range of the given function is {3, 5, 7}.
Explanation:
The range of a function refers to the set of all possible output values (y-values) it can produce. Given the function represented by the set of ordered pairs {(-4,3), (-1,3), (0,3), (1,5), (3,7)}, to determine its range, we look at the second elements in each ordered pair since they correspond to the y-values produced by the function.
The y-values in the given set are 3, 3, 3, 5, and 7. Even though the value 3 is repeated, it is only counted once in the range. Thus, the range of this function is the set {3, 5, 7}.
Remember, the range includes all unique y-values that the function outputs. This set contains the different y-values that the function produces according to the given ordered pairs, which means these are the possible values that we can get as outputs from this function.
Pedro works as a newspaper deliverer. He receives a base pay plus an additional amount per newspaper delivered. Last week, Pedro delivered 5 newspapers and earned $37.50. This week, he delivered 20 newspapers and earned $75. Let x equal the number of newspapers Pedro delivers and y be the earnings he receives in dollars. Which linear function models the scenario? g(x) = 0.4x + 35.5 g(x) = 0.4x + 67 g(x) = 2.5x + 25 g(x) = 2.5x + 50
The linear function models the scenario is g(x) = 2.5x + 25 if He receives a base pay plus an additional amount per newspaper delivered option (C) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
Pedro works as a newspaper deliverer. He receives a base pay plus an additional amount per newspaper delivered.
x = the number of newspapers Pedro delivers
y = the earnings he receives in dollars.
From the data given the linear function can be framed as follows:
y = mx + b
Plug x = 5
y = 37.50
37.50 = 5m + b ...(I)
Plug x = 20, and y = 75
75 = 20m + b ...(II)
After solving equation (I) and equation (II):
m = 2.5
b = 25
y = 2.5x + 25
Replace y with g(x)
g(x) = 2.5x + 25
Thus, the linear function models the scenario is g(x) = 2.5x + 25 if He receives a base pay plus an additional amount per newspaper delivered option (C) is correct.
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Find to slope of the line passing through the points 0,4 -8,-1
A,-8/5
B,-5/8
C, 5/8
D, 8/5
Solve the system by elimination.
-2x + 2y + 3z = 0
-2x - y + z = -3
2x + 3y + 3z = 5
Please go step by step, thanks!
How to find out how likely it is to get 13% chance at something 13 times?
If you buy an IPod for $339, how much sales tax would you pay if the tax rate is 8.375%?
A radio station is having a promotion in which every 12th caller receives a free concert ticket and every 15th caller receives a limo ride. Which caller will be first one to win both?
Answer: Every 60th caller would win both.
Step-by-step explanation:
Since we have given that
every 12th caller receives a free concert ticket.
And
every 15th caller receives a limo ride.
We need to find the first caller who would win.
So, for this we would find L.C.M. of 12 and 15.
And we know the least common multiple of 12 and 15 is 60.
Hence , every 60 th caller would win both.
Rounded to the nearest 3 decimal places, what is the value of r for this data set?
Barry walked a total of 3 miles to larry's house. if he walked for 45 minutes to get there, how fast was he traveling (r) in miles per hour?
jack purchases 12 gallons of gas on monday .he uses 2/3 of amount purchased communting to and from work during the week additional 2 gallons running errands. how many gallons of gas does john juse for work and errands
Question 7 the length of a shadow of a building is 29 m . the distance from the top of the building to the tip of the shadow is 38 m . find the height of the building. if necessary, round your answer to the nearest tenth.
an online movie streaming plan has no annual fee but charges $4.25 per movie watched. Another plan charges an annual fee of $36 plus $3.50 per movie watched. For how many movies is the cost of the plans the same?
a golfer needs to hit a ball a distance of 500 feet, but there is a 60-foot tall tree that is 100 feet in front of the point where the shot needs to land. given that the maximum height of the shot is 120 feet, and that the intended distance of 500 feet is reached, by how much did the ball clear the tree?
We can create a parabola equation of the trajectory using the vertex form:
y = a (x – h)^2 + k
The center is at h and k, where h and k are the points at the maximum height so:
h = 250
k = 120
Therefore:
y = a (x – 250)^2 + 120
At the initial point, x = 0, y = 0, so we can solve for a:
0 = a (0 – 250)^2 + 120
0 = a (62,500) + 120
a = -0.00192
So the whole equation is:
y = -0.00192 (x – 250)^2 + 120
So find for y when the golf ball is above the tree, x = 400:
y = -0.00192 (400 - 250)^2 + 120
y = 76.8 ft
So the ball cleared the tree by:
76.8 ft – 60 ft = 16.8 ft
Answer:
16.8 ft
the equation y= -5.131x^2 +31.821x -3.333 approximates the number of people standing in line to catch a commuter train x hours after 5 a.m.
What is the best estimate for the number of people in line at 8 a.m?
A. 77
B. 46
C. 40
D. 32
Answer:
The answer is 42!!! I just took test.
Step-by-step explanation:
What are the steps for using a compass and straightedge to construct a regular hexagon inscribed in a circle?
Drag the steps and drop them in order from start to finish.
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Construct and JM⎯⎯⎯⎯⎯, MO⎯⎯⎯⎯⎯⎯⎯, OK⎯⎯⎯⎯⎯⎯⎯, KP⎯⎯⎯⎯⎯, PN⎯⎯⎯⎯⎯⎯, and NJ⎯⎯⎯⎯⎯ to complete regular hexagon JMOKPN .
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Construct a circle with its center at point H.
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Construct a circle with its center at point J and having radius HJ . Construct a circle with its center at point K having radius HJ .
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Construct horizontal line l and point H on line l.
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Label the point of intersection of circles H and J that lies above line l, point M, and the point of their intersection that lies below line l, point N. Label the point of intersection of circles H and K that lies above line l, point O, and the point of their intersection that lies below line l, point P.
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Label the point of intersection of the circle and line l to the left of point H, point J, and label the point of intersection of the circle and line l to the right of point H, point K.
answer is center of rotation
translate the following points 5 units up (-5,-2) (-2,1) (-4,-7)
Charles has read 180 pages of book. This isn’t 3/4 of the total number of pages in the book. If p represents the number of pages in the book, what is p?
a.135
b.240
c.320
d. 420
5 hundred 25 thousand six hundred minutes
Jamie's parents have told him that he needs to pay his credit card bills on time to establish good credit. How will good credit help him in the future?
Simply C Because well Nowadays You Have To Have Credit For Everything And Its Crazy When Your A Teenager Living On Your Own Without Any Credit. I Had To Buy Things For Around The House And Eventually Bought A $5,000 Bed Set
How to solve x^2+bx+c=0 when b and c are negative by factoring?
Please help with all 3 questions thank you.
There are thirteen animals in a barn. Some are chickens and some are pigs there are 40 legs in all. How many of each animal are there
I NEED HELP NOW!!!!
Malik collects rare stamps and has a total of 212 stamps. He has 34 more domestic stamps than foreign stamps. Let x represent the number of domestic stamps and let y represent the number of foreign stamps.
This system of equations models the given information for both stamp types.
x – y = 34
x + y = 212
Solve the system of equations.
How many foreign stamps does Malik have?
____foreign stamps
How many domestic stamps does Malik have?
____domestic stamps
After solving the system of linear equations, Malik has 123 domestic stamps and 89 foreign stamps.
Let x represent the number of domestic stamps.Let y represent the number of foreign stamps.Given the following system of equations:
[tex]x - y = 34\\\\x + y = 212[/tex]
To solve the system of linear equations, we would use the elimination method:
Adding the two equations together, we have:
[tex]2x = 246[/tex]
Dividing both sides by 2, we have:
[tex]x = \frac{246}{2}[/tex]
x = 123 domestic stamps
To find the value of y:
[tex]x + y = 212\\\\y = 212 - x\\\\y = 212 - 123[/tex]
y = 89 foreign stamps
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How many pairs of triangles appear congruent? The triangles may overlap
Answer:
4. If i know the picture you're talking about it would be 4.
Step-by-step explanation:
If an organism had 200 atoms of carbon-14 at death, how many atoms will be present after 14,325 years
Answer:
If an organism had 200 atoms of carbon-14 at death, how many atoms will be present after 14,325 years? Round the answer to the nearest hundredth.
35.36
atoms
MATH HELP
WILL AWARD BRAINILEST
Graham uses a 10 by 10 grid to model a decreasing pattern. He cuts off a section representing a percent of the current area so that the remaining area represents the next term in the pattern, rounded to nearest whole centimeter. The area after each cut is shown on the graph. After each cut, the remaining area is % of the previous area.
I think its 25% but idk
In March, Rodney sold twice as many cars as Greg. In April Rodney sold 5 fewer cars than he did in March while Greg sold 3 more cars than he did in March. If they same number of cars in April how many cars did each sell in March
Final answer:
Rodney sold 16 cars and Greg sold 8 cars in March.
Explanation:
Let's start by representing the number of cars sold by Rodney and Greg in March as variables. Let R represent the number of cars sold by Rodney and G represent the number of cars sold by Greg.
Given that Rodney sold twice as many cars as Greg in March, we have the equation R = 2G.
In April, Rodney sold 5 fewer cars than he did in March, so we have the equation R - 5.
Greg sold 3 more cars than he did in March, so we have the equation G + 3.
Lastly, we know that they sold the same number of cars in April, so we can set R - 5 = G + 3.
Now, we can solve the system of equations to find the values of R and G. Substituting R = 2G into the last equation, we get 2G - 5 = G + 3. Solving for G, we find G = 8. Substituting this value back into the equation R = 2G, we get R = 16.
Therefore, Rodney sold 16 cars and Greg sold 8 cars in March.
Rodney: 16 cars
Greg: 8 cars
Please help!!
Find the standard form of the equation of the parabola with a focus at (0, -3) and a directrix at y = 3.
Final answer:
The standard form of the equation of the parabola with a focus at (0, -3) and a directrix at y = 3 is x² = -12y.
Explanation:
To find the standard form of the equation of a parabola with a given focus and directrix, we use the definition of a parabola: the locus of points equidistant from the focus and the directrix. Since the focus is at (0, -3) and the directrix is y = 3, the vertex is halfway between the focus and directrix, at (0, 0). The distance from the vertex to the focus (and to the directrix) is 3 units. The standard form of the parabola opening downwards is
(x - h)² = -4p(y - k)
where (h, k) is the vertex and p is the distance from the vertex to the focus, when the parabola opens upwards or downwards.
Substituting the values for the vertex and p, we get
(x - 0)² = -4(3)(y - 0)
which simplifies to
x² = -12y
This is the standard form of the parabola with the given focus and directrix.