To solve the equation I = v/r and show how R = v/l, we can rearrange the equation I = v/r to solve for r, which gives r = v/I. Then substitute v/l for I to get r = v/(v/l) = l. Therefore, R = l.
Explanation:To solve for R = v/l, we can start by rearranging the equation I = v/r to solve for r. Multiply both sides of the equation by r to isolate it, which gives us I * r = v. Then divide both sides of the equation by I to solve for r, which gives us r = v/I. Now substitute v/l for I to get r = v/(v/l). Simplify the expression by multiplying the numerator and denominator by l, which gives us r = lv/v = l. Therefore, R = l.
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This shows how the original equation [tex]\( I = \frac{v}{r} \)[/tex]can be rearranged to solve for[tex]\( R \) (or \( r \))[/tex] in the form [tex]\( R = \frac{v}{I} \)[/tex]. It is important to note that in the context of physics, [tex]\( I \)[/tex] typically represents current, [tex]\( v \)[/tex]represents voltage, and [tex]\( R \)[/tex] represents resistance. The equation [tex]\( I = \frac{v}{r} \)[/tex] is Ohm's law, which relates the voltage, current, and resistance in an electrical circuit. The rearranged form [tex]\( R = \frac{v}{I} \)[/tex] is used to find the resistance when the voltage and current are known.
To solve the equation [tex]\( I = \frac{v}{r} \)[/tex] for [tex]\( R \)[/tex], we need to isolate [tex]\( R \)[/tex] on one side of the equation. Here are the steps to do so:
1. Start with the original equation:
[tex]\[ I = \frac{v}{r} \][/tex]
2. Multiply both sides of the equation by [tex]\( r \)[/tex] to eliminate the denominator:
[tex]\[ I \cdot r = v \][/tex]
3. Now, we want to solve for [tex]\( R \)[/tex], so we need to divide both sides of the equation by [tex]\( I \)[/tex] to isolate [tex]\( R \)[/tex] on one side:
[tex]\[ r = \frac{v}{I} \][/tex]
4. Notice that in the original equation, [tex]\( I \)[/tex] is used, but in the desired equation, [tex]\( R \)[/tex] is used. This seems to be a typo in the question, as [tex]\( I \)[/tex]and [tex]\( R \)[/tex] are likely meant to represent the same variable. Assuming [tex]\( I \)[/tex]and [tex]\( R \)[/tex] are the same, we can rewrite the equation as:
[tex]\[ R = \frac{v}{I} \][/tex]
5. Now, we have [tex]\( R \)[/tex] isolated on one side, which is the desired form of the equation.
Therefore, the final answer, assuming [tex]\( I \)[/tex] and [tex]\( R \)[/tex] represent the same variable, is:
[tex]\[ \boxed{R = \frac{v}{I}} \][/tex]
write g(x)=4x^2+88 in vertex form
Answer:
y
=
4
(
x
+
11
)
2
−
484
Step-by-step explanation:
What fraction goes in the box to make it correct?
7
×
□
=
1
Answer: 1/7
Do Keep Change Flip
Keep: 7
Change: ÷ into ×
Flip: 7/1 into 1/7
Your new problem: 7×1/7
Multiply
7/1×1/7=7/7
7/7=1
The fraction that will fit into the box to make the equation correct is: [tex]\mathbf{\frac{1}{7}}[/tex]
Let the missing fraction that will fit in the box be represented as x.
Thus, let's find x in the equation, 7 × x = 1
Solve for the value of x to get the fraction that will fit in to make the equation correct.
[tex]7 \times x = 1[/tex]
Divide both sides by 7[tex]\frac{7x}{7} = \frac{1}{7} \\\\[/tex] (division property of equality)
[tex]\mathbf{x = \frac{1}{7}}[/tex]
Therefore the fraction that will fit into the box to make the equation correct is: [tex]\mathbf{\frac{1}{7}}[/tex]
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What is the radius and diameter of the following circle?
11 cm
?
Radius-
Diameter-
Answer:
Radius: 5.5
Diameter: 22
Step-by-step explanation:
Find the slope of the line that passes through the two points given
SW. *
(4,3) & (3,-2)
Answer:
5
Step-by-step explanation:
The slope between (4,3) (3,-2) can be found using the following formula
m = (y2-y1)/(x2-x1)
=(-2-3)/(3-4)
= (-5)/(-1)
=5
I’m circle R with m angle QRS=82 and QR=16 units find the of arc length of QS. Round to the nearest hundredth
The length of arc QS in circle R is approximately 22.9 units. This is determined by using the formula for arc length in a circle, which is the radius times the angle (in radians). The angle was first converted from degrees to radians.
Explanation:To find the length of arc QS in circle R, we need to use the formula for the arc length. The arc length of a circle is given by the formula Length = radius * angle (in radians). The angle is provided as 82 degrees, and the radius QR is given as 16 units.
First, we need to convert the angle from degrees to radians. We use the formula: radians = degrees * (π / 180). Hence, 82 degrees is approximately 1.43117 radians.
Now, let's substitute our values into the formula. Length = 16 units * 1.43117 radians.
Hence, the arc length of QS is approximately 22.9 units when rounded to the nearest hundredth.
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(2c + 4) + (3m + 5) = simply your answer
Hi there! hopefully this helps!
-------------------------------------------------------------------------------------------------------------
Answer: 2c + 9 + 3m
Can’t put it Into a question because it is a graph kinda urgent
Answer:
Step-by-step explana
a= 1
b= 1/16 or .0625
c= 1/256 or .00390625
How do you know if an event is likely to happen or unlikely to happen?
Answer:
You will know if an event is unlikely or unlikely to happen if the following events that happen follow behind it.
Step-by-step explanation:
A bus with kids and a truck with their bags started moving from the school to the camp at the same time. The speed of the bus was 60 mph. The speed of the truck was 45 mph. It took kids 3 hours to reach the camp. How long did they have to wait for their bags?
The kids have to wait for 1 hour to get their bags.
Step-by-step explanation:
Given that,
A bus with kids and a truck with their bags started moving from the school to the camp at the same time.
The speed of the bus was 60 mph.It took kids 3 hours to reach the camp.To find the distance traveled by the bus :
⇒ Distance = Speed × Time
⇒ 60 × 3
⇒ 180 m
∴ The distance is 180 m.
To find the time taken by the truck to reach the camp :
The speed of the truck was 45 mph.We found the distance as 180 m.Time taken = distance / speed.
⇒ 180 / 45
⇒ 4 hours.
∴ The time taken by the truck to reach the camp is 4 hours.
To find how long the kids have to wait for their bags :
The time taken by the truck to reach the camp - the time it took for the kids to arrive.
⇒ 4 hours - 3 hours
⇒ 1 hour.
∴ The kids have to wait for 1 hour to get their bags.
The bus traveled 180 miles to the camp in 3 hours at 60 mph, while the truck took 4 hours at 45 mph to cover the same distance. Hence, the kids had to wait 1 hour for their bags to arrive.
Travel Time and Waiting Time
To determine how long the kids had to wait for their bags, we need to calculate the time it took for the truck to reach the camp.
The bus travels at a speed of 60 mph and it took the kids 3 hours to reach the camp. The distance to the camp can be calculated using the formula:
Distance = Speed × TimeTherefore, the distance is 60 mph × 3 hours = 180 miles.Next, we calculate the time it took for the truck, traveling at 45 mph, to cover the same distance:
Time = Distance / SpeedThus, the truck's travel time is 180 miles / 45 mph = 4 hours.Since the kids took 3 hours to reach the camp and the truck took 4 hours, the kids had to wait for:4 hours - 3 hours = 1 hour.Therefore, the kids had to wait for 1 hour for their bags to arrive.
PLEASE PLEASE PLEASE HELP ME !
On a separate sheet of paper graph the following function. In the answer box describe the function.
f(x) = 2[x] – 3
Answer:
Answer
Step-by-step explanation:
The function is a greatest integer function, which is a step function.
The function f(x) = 2[x] - 3 features a step-like graph due to the floor function [x]. To graph it, calculate f(x) for integer values, plot the points, and draw horizontal lines between them. The function's range in this context is specified to be between 0 and 20.
Explanation:The function given is f(x) = 2[x] - 3, where [x] denotes the greatest integer function, also known as the 'floor' function, which returns the greatest integer less than or equal to x. This type of function creates a step-like graph. When graphing this function, you'll notice that for every integer value of x, the function will take on a constant value until the next integer is reached, at which point it will jump up to the next 'step'.
To graph this function, you should first calculate the values of f(x) at various integer points within the given range. Then plot these points on a coordinate plane and create horizontal lines to represent the function's value between each pair of consecutive integer x values. For non-integer values of x, the function value will be based on the floor of x. Label your graph with f(x) and x. Make sure to scale the x and y axes with the maximum values, considering that in this case we are dealing with 0 ≤ x ≤ 20.
Given f(n) is a geometric sequence where f(3)=32 and f(9)=72, find f(16).
I think the answer may be 64/27, but I don't know for sure.
Answer:
f(16)=162
Step-by-step explanation:
-In a geometric sequence, the quotient between any tow consecutive numbers is called the common ratio,r:
[tex]r=\frac{a_n}{a_{n-1}}[/tex]
Given that f(3)=32 and f(9)=72, we can find the common ratio as below:
[tex]r=\frac{a_n}{a_{n-1}}\\\\\therefore \frac{f(9)}{f(3)}=r^6\\\\\frac{72}{32}=r^6\\\\r^6=2.25\\\\r=2.25^{1/6}[/tex]
#We substitute and use the same formula to find the nth term:
[tex]a_n=ar^{n-1}[/tex]
let f(3) be a(the first term):
[tex]a_n=ar^{n-1}\\\\a_{16}=32(2.25^{1/6})^{16-3-1}\\\\a_{16}=32(2.25^{1/6})^{12}\\\\\\=162[/tex]
Hence, f(16)=162
Factor completely
x^2-14x+45
n^2+4n-32
Answer:
1. (x+9)(x-5)
2. (x+8)(x-4)
Step-by-step explanation:
use x-box method to simplify both problems
Final answer:
To factor the quadratic expressions, we look for pairs of numbers that multiply to give the constant term and add to give the coefficient of the middle term, resulting in the expressions (x - 9)(x - 5) for the first and (n + 8)(n - 4) for the second.
Explanation:
The question relates to factoring quadratic expressions, which is a fundamental skill in algebra. Specifically, we are looking to factor the expressions [tex]x^2[/tex] - 14x + 45 and [tex]n^2[/tex] + 4n - 32 completely. Factoring involves finding two binomial expressions that multiply together to give the original quadratic expression.
To factor [tex]x^2[/tex] - 14x + 45, consider two numbers that multiply to 45 and add to -14. These numbers are -9 and -5. Therefore, the factored form is (x - 9)(x - 5).
To factor [tex]n^2[/tex] + 4n - 32, we again look for two numbers that multiply to -32 and add to 4. These numbers are 8 and -4. Thus, the factored form is (n + 8)(n - 4).
Someone please help meee!!
Answer:x=9
Step-by-step explanation:
Add the numbers and the x's
39x+369= 6 angles
Formula 6-2=4×180=720
39x+369=720
-369. -369
39x =351
Divide by 39
X=9
A tile store charges $607.50 to install 135 square feet of tile. Assuming they charge the same rate
per square foot regardless of the amount of tile installed, how much would they charge to install
840 square feet of tile?
Translate to a proportion:
square feet
square feet
They would charge
to install 840 square feet of tile.
The unit price for installation per square foot of tile is
Answer:
the tile is 4.50 per square foot to install
it will cost 3780.00 to install 840 square feet
Step-by-step explanation:
divide 607.50 by 135 to find out the price per square foot to install
multiply the price per square foot by the number of square feet you are installing so 4.50 X 840
Which statement could describe the graph?
A. After driving for 3 hours, Will stopped for lunch.
B.Will was stuck in traffic during the second and third hour of his trip so he was travelling slowly.
C.Will’s destination was 160 miles from where he started.
D.Will travelled at the fastest speed in the very beginning of his trip.
Answer:
C
Step-by-step explanation:
none of the others are graphically correct
Answer:
C, "Will's destination was 160 miles from where he started."
Step-by-step explanation:
The first and second choices are absurd. It doesn't give any reason or evidence that he stopped during that time. The time does not line up either. D, does not make sense because he only traveled 40 miles in 2 hours. But from hour 3 to 5 he traveled 120 miles.
A steel hex nut has two regular hexagonal faces and a hole with a diameter of 0.4 cm through the middle. Its mass is 3.03 grams.
Answer:
V=0.45
V=0.06
V=0.39
V=7.77
Question 2 of 10
2 Points
The circle below is centered at the point (-2, 1) and has a radius of length
What is its equation?
(x+1)++
O
B. (x - 2)2 + (y + 1)
O
c. (x + 2)2 + (y- 1)2 =
O
D. (x - 1)2 + (y + 2)2
O
Answer:
B is the answer to this problem
Solve: n^2/2 -2 = 5n/6
Answer:
n = -4/3 or n = 3
Step-by-step explanation:
Multiply by 6 to eliminate fractions, then put into standard form.
3n^2 -5n -12 = 0
3n^2 -9n +4n -12 = 0 . . . . . separate -5n into two terms to facilitate factoring
3n(n -3) +4(n -3) = 0 . . . . . factor pairs of terms
(3n +4)(n -3) = 0 . . . . . . . . . factor out the common factor
n = -4/3 or 3 . . . . . . . values that make the factors be zero
what is the coordinate if (2,2) is reflected over the line x=2
Answer:
-2,2
Step-by-step explanation:
What is the complete factorization of the polynomial below?
x3 + 9x2 + 26x + 24
Answer:
(x+2)(x+3)(x+4)
Step-by-step explanation:
HELP!
Use the spinner to find the theoretical probability of the event.
The theoretical probability of spinning blue is ___.
Answer:
2/8 or 1/4
Step-by-step explanation:
2/8 or 1/4 because the spots on the spinner are blue out of 8 is 2/8 or 1/4
Answer:
2/6
Step-by-step explanation:
This should have been simple because you don't include the blue parts
Please help me answer the question.
Answer:
63
Step-by-step explanation:
Each side is bigger by a factor of 9, i.e. 10*9=90, etc.
so 7 * 9 = 63
2 Find the mystery numbers for each pair of clues. A product is the number you get
when you multiply numbers. A sum is a number you get when you add numbers.
a Use these clues to help
• The product of these two numbers
is 12.
• The sum of these two numbers is 7.
6 Use these clues to help
• The product of these two numbers
is 8.
• The sum of these two numbers is 9.
The numbers are
and
The numbers are
and
Answer:
4 and 3 at least i think
Step-by-step explanation:
You spend $62 on a game, receive $50 for painting a fence, and give $10 to your friend. You have $44 left.
How much money did you start with?
Answer:
You started with $66.
Step-by-step explanation:
The equation would be:
[tex]x-62+50-10=44\\ x-22=44\\ x=66\\[/tex]
To check the answer:
[tex]66-62+50-10=44\\4+50-10=44\\54-10=44\\44=44[/tex]
We started with $66 initially.
What is Algebra?Algebra, a discipline of mathematics where abstract symbols rather than concrete numbers are subjected to arithmetic operations and formal transformations. The idea that there is such a separate branch of mathematics, as well as the term algebra to identify it, came about gradually through time. It tries to find solutions to equations that contain one or more unknown quantities. Although early mathematicians would not have been familiar with such a concept, the word "equation" is frequently employed to conveniently represent these operations when discussing the early history of algebra.
As per the given data:
Money spend on game (g) = $62
Money received for painting a fence (p) = $50
Money given to friend (f) = $10
Money left = $44
To find out the money we had initially:
Let's assume we had $x.
Money left = x - g + p - f
44 = x - 62 + 50 - 10
44 = x - 22
x = $66
Hence, We started with $66 initially.
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A 270° angle is three-fourths of a complete rotation.
Please select the best answer from the choices provided
T
F
Answer asap please :/
Answer:
the first answer is correct
Step-by-step explanation:
Answer:
The correct function is
A. y = -0.5x+100
5.Last Sunday, 4 of the houses had some cars parked outside. If there
were 4 cars outside each house. How many cars were there in total?
Find the volume of the sphere. Use 3.14 for π. Round to the nearest tenth.
Answer: The answer is 904.32
Which are the solutions of the quadratic equation?
Plzzz ASAP
Answer:
hello i dont even know how to do this
Step-by-step explanation: