The expression for m from the given equation is m = E/o^2
Subject of formulaThe subject of formula is a way of representing a variable with another variable
Given the equation
E = mo^2
We are to make m the subject of the formula. To do that, we will divide both sides of the equation by o^2 to have:
E/o^2 = mo^2/o^2
E/o^2 = m
Swap
m = E/o^2
Hence the expression for m from the given equation is m = E/o^2
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Identify the best method for solving the given
system of equations. DO NOT SOLVE. Justify your
choice using academic vocabulary.
y=x+4
3x – 4y = -19
Answer:
The solution is:
\(y=7,\:x=3\)
Step-by-step explanation:
I think substitution method would be the best method for solving the given system of equations.
The reason is that all we need is to plug in the the value of y i.e. y=x+4 in the equation 3x – 4y = -19, then solve for x, and in the end substitute the value x in the equation y=x+4 to get the y-value.
The other method, elimination method, can also be used, but elimination method in current system of the equations would involve a certain degree of arrangements of the variables and then different multiplying of the equation to eliminate the variables.
Thus, I think substitution method would be the best method for solving the given system of equations.
Let us solve using substitution method
\(\begin{bmatrix}y=x+4\\ 3x-4y=-19\end{bmatrix}\)
\(\mathrm{Subsititute\:}y=x+4\)
\(\begin{bmatrix}3x-4\left(x+4\right)=-19\end{bmatrix}\)
\(\begin{bmatrix}-x-16=-19\end{bmatrix}\)
\(x=-16+19\)
\(x=3\)
Now, just substitute x=3 in y=x+4
\(y=x+4\)
\(y=3+4\)
\(y=7\)
Thus, the solution is:
\(y=7,\:x=3\)
Can someone help me please with both questions?
What is the slope of the line given by the function f (x) = 7 – 2x?
Answer:
I am not certain but I think it is -2 give that a try and hope it helps!
Solve for c round your answer to the nearest tenth
Answer:
C = 7.72 ~ 7.7
Step-by-step explanation:
So when you solve this equetion you must 1st find x then c
we can find x by using cos(60)
cos(60) = x/14
x = cos(60) × 14
x = 1/2 ×14
x = 7
so after we find x we are going to solve c by using cos (25)
cos (25) = X/C = 7/c
cos(25) × C = 7
C = 7/cos (25)
C = 7.72 ~ 7.7
so the solution is 7.7
Two kids at a summer camp, Judy and Ruben, are competing in a potato sack race. Judy is younger, so she is given a head start of 20 yards. When the race starts, Judy hops at a rate of 2 yards per second, and Ruben hops 4 yards per second. Eventually, Ruben will overtake Judy. How far will Ruben have to hop?
In 10 seconds, Ruben will have hopped a total distance of 40 yards (10 * 4 = 40) to overtake Judy in the race.
Ruben will have to hop a total distance of 40 yards to overtake Judy in the potato sack race.
To determine the distance Ruben needs to cover, we first need to calculate the time it takes for Ruben to catch up with Judy. Since Judy has a head start of 20 yards, Ruben needs to close this gap to overtake her.
Judy's rate of hopping is 2 yards per second, while Ruben's rate is 4 yards per second. Therefore, Ruben is gaining on Judy at a rate of 2 yards per second (4 - 2 = 2).
Since the head start is 20 yards, Ruben will catch up with Judy in 10 seconds (20 / 2 = 10). During this time, Ruben will be hopping at a rate of 4 yards per second.
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There are 3 less than twice as many cats than dogs in the local animal shelter. If there are 210 cats and dogs
combined, how many dogs are in the animal shelter?
71 dogs
70 dogs
76 dogs
80 dogs
Answer: 71 dogs ==> 1st option
Step-by-step explanation:
c=cats. d=dogs.
2d-3=c
d+c=210
d+2d-3=210
3d-3=210
3d=213
d=71 dogs ==> 1st option
Write an equation of the line passing through the points (3,8) and (-2,-22)
Answer:
y=6x+8 or y=6x-22
Step-by-step explanation:
use the equation y=mx+b
m is the slope and b is the y-intercept
to find the slope use the equation m = y2-y1 over x2-x1
-22 - 8 / -2 - 3 = -30 / -5 = 6
6 is your slope and for the y-intercept you can choose whichever y-intercept to put into the equation.
HOPE THIS HELPS!!
A line is given by the equation y=52. What is the equation of the perpendicular line that passes through the point (-29,44)? The equation of the line is given by x=
Answer:
x= -29
Step-by-step explanation:
You have the point (-29, 44). The x coordinate is -29, which means your equation is x=-29. You can check your answer by graphing x= -29, y=52, and (-29, 44) on desmos.
ASAP NO SENDING LINKS
Answer:
Matt made the error
He used the diameter instead of the radius in step 2
Step-by-step explanation:
HELP ASAP!! Im being timed!!
Answer:
im pretty sure its a
Step-by-step explanation:
Lucerne to $50 the first day he open his Lemonade Stand he earn $4 on the second day he and he earned $5.50 on the third day if this pattern continues how much money will Louis earn on the fifth day
Answer: 8.50 dollars
Step-by-step explanation:
The pattern is that he earns $1.50 a day. That means that on the 5th day, he will earn $8.50.
what is 2 1/4 + 5 7/8??
Answer:
\(64\frac{1}{8}\)
Step-by-step explanation:
Convert mixed numbers to improper fractions, this is done by taking the denominator multiplying it by the whole number and adding that to the numerator. The denominator is kept the same
4 * 2 = 8 + 1 = 9
9/4
8 * 5 = 40 + 7 = 47
47/8
Use the LCM to be able to add both fractions. The LCM is 8
47/8 already has a denominator of 8, so only 9/4 has to be changed
9 * 2 = 18
4 * 2 = 8
Simplify
47/8 + 18/8
Add the numerators
47 + 18 = 65/8
Convert the improper fraction back to a mixed number
This is done by multiplying to the highest extent and placing the remainder as the numerator, the denominator is untouched.
8 * 8 = 64, we have a remainder of 1, which is the numerator. The denominator is untouched.
Simplify
64 1/8
The answer is 64 1/8
A card is drawn from a well shuffled deck of 52 cards. Find P (drawing a face card or a 4). A face card is a king queen of jack
Answer:
The probability of drawing a face card or a 4 is approximately 0.2885, or 28.85%.
Step-by-step explanation:
To find the probability of drawing a face card or a 4 from a well shuffled deck of 52 cards, we need to count the number of cards that are either a face card or a 4, and divide that number by the total number of cards in the deck.
There are 12 face cards in a deck (4 kings, 4 queens, and 4 jacks) and 4 cards with the number 4, but the card with 4 is also a face card (the four of hearts), so we need to subtract one card from the total. Therefore, there are 15 cards in the deck that are either a face card or a 4.
The total number of cards in the deck is 52. Therefore, the probability of drawing a face card or a 4 from a well shuffled deck of cards is:
P = number of desired outcomes / total number of possible outcomes P = 15/52 P = 0.2885 (rounded to four decimal places)
So the probability of drawing a face card or a 4 is approximately 0.2885, or 28.85%.
brainliest Plssss
if I buy 52 packs of cookies and 16 cookies are in each pack how many cookies do I have all together .
Answer:
68 cookies
Step-by-step explanation:
Find the value of each variable
The missing sides of the special right triangles are listed below:
Case 1: y = √2 · 13, x = 13
Case 2: x = y = 15√2
Case 3: x = 6, y = 3√3
Case 4: x = 17√3, y = 17
Case 5: x = y = 10
Case 6: x = 50, y = 25
Case 7: x = y = 4√7
Case 8: x = 16√3, y = 8√3
Case 9: x = 11√3, y = 33
Case 10: x = 3√2, y = 2√6
Case 11: x = √10, y = 2√5
Case 12: x = 4√7, y = 8√21
How to find the length of missing sides
Herein we find twelve cases of special right triangles whose missing sides must be determined by using the following rules:
45 - 90 - 45 Right triangle
r = √2 · x = √2 · y
30 - 60 - 90 Right triangle
x = (1 / 2) · r
y = (√3 / 2) · r = √3 · x
Where:
x - Shortest leg.y - Longest leg. r - Hypotenuse.Case 1
y = √2 · 13
x = 13
Case 2
x = y = 15√2
Case 3
x = 3 / (1 / 2)
x = 6
y = 3√3
Case 4
x = 34 · (√3 / 2)
x = 17√3
y = 34 · (1 / 2)
y = 17
Case 5
x = y = 10
Case 6
x = 25√3 / (√3 / 2)
x = 50
y = 25√3 / √3
y = 25
Case 7
x = y = 2√14 · √2 = 2√28 = 4√7
Case 8
x = 24 / (√3 / 2)
x = 48 / √3
x = 16√3
y = 24 / √3
y = 8√3
Case 9
x = 22√3 · (1 / 2)
x = 11√3
y = 22√3 · (√3 / 2)
y = 33
Case 10
x = √18
x = 3√2
y = √6 / (1 / 2)
y = 2√6
Case 11
x = √10
y = √20
y = 2√5
Case 12
x = 4√21 / √3
x = 4√7
y = 4√21 / (1 / 2)
y = 8√21
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Car A is traveling east at a steady speed of 60 miles per hour. After 2 hours, it is 130 miles east of Johnstown. Car B is traveling east on the same road. Its distance east of Johnstown is represented by the graph. 140 Miles east of Johnstown BO BO 1 2 Time (hours) Where were the two cars in relation to each other when they began traveling? A. Car B was 10 miles east of car A. B. Car B was 20 miles east of car A. C. Car A was 10 miles east of car B. D. Car Awas 60 miles east of car B.
Answer: Its A
Step-by-step explanation:
Determine the solution to the equation. 8+4x=2x+8+2x A Infinite B One Solution C No Solution
After solving the given equations the answer is an Infinite solution. Hence, option A is correct
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the given equation in the question,
8 + 4x = 2x + 8 + 2x
Firstly, let's write the given equation in a simplified manner,
8 + 4x = 8 + 4x
As we can see that LHS = RHS, which means that both equations are the same then which means they will give infinite solutions.
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How can
1/3x-2 = 1/4x+ 11 be set up as a system of equations?
A.
3y - X = -6
4y - x = 44
B.
3y + x = -6
4y + x = 44
C.
3y - 3x = -6
4y - 4x = 44
D.
3y + 3x = -6
4y + 4x = 44
Answer: c
Step-by-step explanation:
bc i said
4(1+4n)
how do i solve this
Answer:
4 + 16n
Step-by-step explanation:
4 (1 + 4n)
Use the distributive property & expand the expression .
= (4*1) + (4*4n)
= 4 + 16n
________
Hope it helps ⚜
Answer:
\(\Longrightarrow: \boxed{\sf{4+16n}}\)
Step-by-step explanation:
Use the distributive property.
Distributive property:
⇒ A(B+C)=AB+AC
4(1+4n)Multiply expand.
4*1=4
4*4n=16n
Rewrite the expression down.
= 4+16n
Therefore, the correct answer is 4+16n.I hope this helps! Let me know if you have any questions.
write the equation in spherical coordinates. (a) 5x2 − 3x + 5y2 + 5z2 = 0
According to the equation we have After simplifying, the equation in spherical coordinates is: 5ρ^2 - 3ρ sin(θ) cos(φ) = 0 .
To write the given equation in spherical coordinates, we first need to express x, y, and z in terms of rho (ρ), theta (θ), and phi (φ), which are the spherical coordinates.
We know that:
x = ρsinφcosθ
y = ρsinφsinθ
z = ρcosφ
Substituting these values in the given equation, we get:
5(ρsinφcosθ)² - 3(ρsinφcosθ) + 5(ρsinφsinθ)² + 5(ρcosφ)² = 0
Simplifying further, we get:
5ρ²sin²φcos²θ + 5ρ²sin²φsin²θ + 5ρ²cos²φ - 3ρsinφcosθ = 0
Now, we can use the trigonometric identities:
sin²θ + cos²θ = 1
sin²φ + cos²φ = 1
Substituting these in the equation, we get:
5ρ²sin²φ + 5ρ²cos²φ - 3ρsinφcosθ = 0
To rewrite the given equation 5x^2 - 3x + 5y^2 + 5z^2 = 0 in spherical coordinates, we need to use the conversions:
x = ρ sin(θ) cos(φ)
y = ρ sin(θ) sin(φ)
z = ρ cos(θ)
Substitute these conversions into the equation:
5(ρ sin(θ) cos(φ))^2 - 3(ρ sin(θ) cos(φ)) + 5(ρ sin(θ) sin(φ))^2 + 5(ρ cos(θ))^2 = 0
After simplifying, the equation in spherical coordinates is:
5ρ^2 - 3ρ sin(θ) cos(φ) = 0
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question no 5 first question
Answer:
∆APQ is isosceles, so sides AP, AQ are congruent
Step-by-step explanation:
You want to show that AP≅AQ in the given figure.
Angles of Intersecting Chords TheoremThe Angles of Intersecting Chords Theorem tells you that the angle where chords cross is half the sum of the intercepted arcs. Here, that means ...
∠APY = (arc BX +arc AY)/2
∠AQX = (arc AX +arc CY)/2
Substituting equalsGiven that arc AX ≅ arc BX, and arc AY ≅ arc CY, we can substitute for BX and CY to get ...
∠APY = (arc AX +arc AY)/2
∠AQX = (arc AX +arc AY)/2
Two angles equal to the same thing are equal (substitution property), so ...
∠APY ≅ ∠AQX
These are base angles in the isosceles triangle APQ, so their opposite sides, AQ and AP, respectively, are congruent.
AP ≅ AQ
identify a unit of measure that serves as a conversion factor between linear and angular measurements.
One common unit of measure that serves as a conversion factor between linear and angular measurements is the radian (rad).
A radian is defined as the angle subtended at the center of a circle by an arc of the circle equal in length to the radius of the circle.
Since the circumference of a circle is 2π times the radius, there are 2π radians in a full circle. Therefore, one can use the following conversion factors
1 radian = 180/π degrees (approx. 57.3 degrees)
1 degree = π/180 radians (approx. 0.01745 radians)
These conversion factors allow you to convert between linear measurements (such as arc length or circumference) and angular measurements (such as angles in degrees or radians) when dealing with circular motion or rotational systems.
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Help Please! :((( answer correctly please
Answer:
ILOVEMATH
10 = 90
11 = 35
12 = 16
13 = 200000
14 = 19
Step-by-step explanation:
is the relationship between price and number of empanadas proportional? complete the statements
Answer:
The price per empanada IS the same amount for each quantity purchased, the the relationship is PROPORTIONAL. The constant of proportionality is 0.50.
Step-by-step explanation:
Since each empanada is .50 cents each, at that is because it shows in the graph that 2 empanadas are $1.
The price per empanada IS the same amount for each quantity purchased, the relationship is PROPORTIONAL. The constant of proportionality is 0.50.
Step-by-step explanation:
Since each empanada is .50 cents each, that is because it shows in the graph that 2 empanadas are $1.
Which of these functions could have the graph shown below?
it's the first one it's the f (x) =40x
The sides LM, MN, and LN of ΔLMN have sides of length 15√2, 15, and 15, respectively. Which triangle is similar to ΔLMN using the SSS similarity theorem?
THE ANSWER IS A
Answer:
the answer is A y'all kinda hard to believe huh? ik it's hard.
Answer:
its A
Step-by-step explanation:
i just did it
which of the following is true about bayes' theorem? it can be used only for cases where conditional probabilities are unknown. it is useful for determining optimal decisions without requiring knowledge of probabilities of the states of nature. it enables the use of sample information to revise prior probabilities. it cannot be used to calculate posterior probabilities.
Bayes' Theorem is a mathematical theorem that enables the revision of prior probabilities based on new information or evidence.
This theorem is widely used in statistics, machine learning, and other fields that deal with uncertainty and probabilistic reasoning. Contrary to the first option mentioned in the question,
Bayes' Theorem can be used when conditional probabilities are known, and it enables the calculation of posterior probabilities, which is the probability of a hypothesis or event given the available evidence.
Therefore, the third option is correct; Bayes' Theorem enables the use of sample information to revise prior probabilities. This theorem is highly valuable because it allows the integration of new data or knowledge into the decision-making process,
which can lead to more accurate predictions and better-informed decisions. In summary, Bayes' Theorem is a powerful tool that requires knowledge of probabilities and enables the calculation of posterior probabilities based on new evidence or information.
By combining prior probabilities with likelihoods (based on new data), we can calculate posterior probabilities, which represent our updated knowledge.
This process is crucial in making informed decisions in various fields, such as data science, finance, and medical diagnosis.
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PLEASE ANSWER RN PLSSS Two negative integers are 8 units apart on the number line and have a product of 308. Which equation could be used to determine x, the smaller negative integer? x2 + 8x – 308 = 0 x2 – 8x + 308 = 0 x2 + 8x + 308 = 0 x2 − 8x − 308 = 0
Answer:
The correct equation to solve for "x" is:
\(x^2+8x-308=0\)
(first option in your list)
Step-by-step explanation:
Let's say that since the integers in question are separated on the number line, we can call them x, and y with for example y being the larger one (two the right of x on the number line). Since the two integers are 8 units apart, then we can write in mathematical form:
y - x = 8 (because y is the larger of the two numbers)
and solving for "y" we get:
y = x + 8
we also know that their product is 308, which we can write in the following form:
x * y = 308
Now, replacing y by "x + 8", we get:
\(x*y=308\\x\,(x+8)=308\\x^2+8x=308\\x^2+8x-308=0\)
Therefore, the correct equation is the first one listed among your answer options.
Answer:
x2 + 8x – 308 = 0
Step-by-step explanation:
its A on edge
Norman is 12 years older than Michael. In 6 years, he will be twice as old as Michael. How old is Michael now?(A) 3(B) 6(C) 12(D) 18(E) 24Spoiler: OA
Answer:
Choice (C) 6
Step-by-step explanation:
We know that Norman is currently 12 years old, and in 6 years he will be twice the age of Michael. Using the two numbers, we can divide 12 by 2 and evaluate.
\(\frac{12}{2}=6\)
So Michael is 6 years old.
a list of 1111 positive integers has a mean of 1010, a median of 99 and a unique mode of 88 what is the largest possible value of an integer in the list?
The largest possible value in the list is 35.
What is mean, median and mode?
Adding the numbers together and dividing the result by the total number of numbers in the list yields the arithmetic mean. An average is most frequently used to refer to this. The middle value in a list that is arranged from smallest to greatest is called the median. The value that appears the most frequently on the list is the mode.
Given: There is a list of 11 positive integers.
Has a mean of 10, a median of 9 and a unique mode of 8.
Since the mode (8) is less than the median (9), the mode can only appear (at most) 5 times since the mode is the 6th number in the list (assuming the list has been sorted in ascending order).
If so, the first five numbers can be 8, the following four numbers can be 9, and the next greatest number can be 10, which means the largest number must be 110 - (8 x 5 + 4 x 9 + 10) = 110 - 86 = 24.
The largest number must be 110 - 77 = 33 if the mode repeats just twice, in which case we can let the first ten numbers be 1, 2, 3, 8, 8, 9, 10, 11, and 13, totaling 77.
The biggest number in this scenario is 110 - 75 = 35 if the mode repeats itself three times. Alternatively, we can let the first ten numbers be 1, 1, 8, 8, 8, 9, 10, 10, and 11 totaling 75.
Therefore, the largest possible value of an integer in the list is, 35.
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