Answer:
2/5
Step-by-step explanation:
Let's simplify this equation to find the slope. I am going to make this into
y = mx+b form where m is the slope and b is the y-intercept.
y - 3 = 2/5(x+7)
y - 3 = 2/5(x) + 14/5
y = 2/5(x) + (14/5 + 3)
y = 2/5(x) + 29/15
The slope of this equation is 2/5
If i detect the electron passing through the left slit, what are the probabilities associated with it now?.
If you detect the electron passing through the left slit in a double-slit experiment, the probabilities associated with it will depend on the specific setup and conditions of the experiment.
In a basic double-slit experiment, where a beam of electrons or particles is directed towards two slits, the probability of detecting the particle at a particular location on the screen depends on the interference pattern formed by the interaction of the wave-like nature of the particles. When the electron passes through the left slit, it implies that the particle's wavefunction has "collapsed" or "localized" to a specific position associated with the left slit. In this case, the probability of detecting the electron at a specific location on the screen will be concentrated around the corresponding position associated with the left slit. The probability distribution on the screen will generally show a pattern characterized by a central maximum and alternating regions of constructive and destructive interference, depending on the relative distances between the slits, the screen, and the wavelength of the particle. It's important to note that the specific probabilities associated with detecting the electron at different positions on the screen will vary depending on the details of the experimental setup, such as the dimensions of the slits, the distance between the slits and the screen, and the wavelength of the particles. To determine the exact probabilities, one would need to know the specifics of the experiment and apply the principles of quantum mechanics and wave-particle duality to calculate or measure the probabilities associated with the electron passing through the left slit.
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kate has 2.95 in quarter and nickels she has 23 coins how many quarters and nickles does she have
Answer:
9 quarters and 14 nickles
The number of quarters is 9.
The number of nickels is 14.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 9 is an equation.
We have,
Number of quarters = x
Number of nickels = y
Now,
1 quarter = $0.25
1 nickel = $0.05
Two equations are:
x + y = 23 ____(1)
x = 23 - y _____(2)
0.25x + 0.05y = 2.95 _______(3)
Putting (2) in (3) we get,
0.25(23 - y) + 0.05y = 2.95
5.75 - 0.25y + 0.05y = 2.95
5.75 - 2.95 = 0.20y
2.8 = 0.20y
y = 2.8/0.20
y = 14
Now,
x + y = 23
x = 23 - 14
x = 9
Thus,
There are 9 quarters and 14 nickels.
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Use a suitable identity to get each of the following products.
(6x+ 5y)2
According to algebra, the square binomial (6 · x + 5 · y)² has the following equivalent expression: 36 · x² + 60 · x · y + 25 · y².
How to find an equivalent expression for a square binomial
According to algebra, we find the case a square binomial, whose equivalent form is shown below by following rule:
(a + b)² = a² + 2 · a · b + b²
Where a, b are real coefficients.
If we know that a = 6 · x and b = 5 · y, then the equivalent form of the square binomial is:
First, write the entire expression:
(6 · x + 5 · y)²
Second, use power properties:
(6 · x)² + 2 · (6 · x) · (5 · y) + (5 · y)²
Third, perform associative and commutative properties:
6² · x² + (2 · 6 · 5) · (x · y) + 5² · y²
Fourth, multiply similar terms:
36 · x² + 60 · x · y + 25 · y²
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PLEASE HELP DUE IN 10 MINUTES!!!!! A smartphone originally worth $790 loses value at a rate of $175 each year. Write an equation to represent the value of the phone, then find value of the phone after 4 years. (please someone write the equation is slope intercept form!!!)
Answer:
Step-by-step explanation:
y=790x-175
16. Write and solve an equation to find two consecutive odd integers such that their sum is twenty.
Answer:
9 and 11
Step-by-step explanation:
there is a difference of 2 between consecutive odd integers.
let n and n + 2 be the integers , then
n + n + 2 = 20
2n + 2 = 20 ( subtract 2 from both sides )
2n = 18 ( divide both sides by 2 )
n = 9
and n + 2 = 9 + 2 = 11
the two consecutive odd numbers are 9 and 11
What is the area of the rectangle
the area of rectangle is l*b
Answer:
24 Centimeters
Step-by-step explanation:
L * W
4 * 6
24 Centimeters
Samuel is saving money to buy a skateboard that cost $90. He is saving $18 a week. How many weeks will it take him to save enough money to buy the skateboard?
Answer:
5 weeks
Step-by-step explanation:
$18 / week
goal is $90
18x = 90
90/18 = 5
18(5) =90
It will take him 5 weeks to save enough money to buy the skateboard
Victoria has $10 in a savings account. The interest rate is 10%, compounded annually. To the nearest cent, how much interest will she earn in 2 years?
simplify (3x^5)^2 please !!
Answer:
\(9x^{10}\)
Step-by-step explanation:
\((x^a)^b=x^{ab}\)
so
\((3x^5)^2=9x^{10}\)
The two lines graphed on the coordinate grid each represent an equation.
Which ordered pair represents a solution to both equations?
A:(3, 6)
B:(-3, 0)
C:(6, 3)
D:(0, -3
What is the value of KL?
Answer:
KL = 40.5
Step-by-step explanation:
From the information given in the diagram, P is the centroid of the triangle. Therefore, applying the centroid theorem,
⅔ of KL = LP
LP = 27
Plug in the value of LP
⅔(KL) = 27
Multiply both sides by 3
2(KL) = 3*27
2(KL) = 81
Divide both sides by 2
KL = 81/2
KL = 40.5
The sixth-grade class is competing in the school field day. There are 32 girls and 56 boys who want to participate. Each team must have the same number of girls and boys. What is the greatest number of teams that can be formed? How many boys and how many girls will be on each team?
Answer:
8 teams each team will have 4 girls and 4 boys
Step-by-step explanation:
We use GCD to solve this
the GCD of 32 and 24 = 8
8 is the greatest number of teams.
each team must have equal number of boys and girls so divided by two
8/2 = 4
4 girls and 4 boys
I have attached how to do GCD.
If you need any clarification or more explanation pls do mention at the comment section
Hope this helps and if it does pls mark as brainliest answer thx
Abigail has lovely, lustrous black hair that is 32 inches long. She asks the hairdresser to cut off 4 of the total length of her hair. How many inches does the hairdresser cut?
please help and this is not high school math this is fifth grade math. Also please show the steps as to how you got the answer ... will give the brainliest answer.
Answer:
if i read the question correctly the hairdresser cuts off 4 inches
Step-by-step explanation:
32 inches is the total length of her hair
so 4 inches off the total length means 32 - 4 which is 28 inches
so the hairdresser cuts off 4 inches and now she has 28 inches of hair left
The barber cut 4 inches of hair out of 32 inches of hair.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
Abigail has lovely, lustrous black hair that is 32 inches long. She asks the hairdresser to cut off 4 of the total length of her hair.
So barber cut the 4-inch out of 32 inch
Thus, the barber cut 4 inches of hair out of the 32 inches of hair.
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Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. Afterwards, determine two values of xx that support your conclusion.
x-5= -5+x
Since the two equations are of line and coincident to each other so the equations will have an infinite number of solutions.
What is a linear equation?The equation which have a degree of one will be called as the linear equation the graph of the equation will be always a straight line.
Here we have the equation:
x-5=-5+x
or
x-5=x-5
Here we can see that the ratios are same:
\(\dfrac{a_1}{b_1}=\dfrac{a_2}{b_2}\\\\\\\\\dfrac{1}{-5}=\dfrac{1}{-5}\)
So the equations will be coincident to each other or line one will coincide with line 2. Hence the two equations are of line and coincident to each other so the equations will have an infinite number of solutions.
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Suppose Ethan has 28 comic books. If the ratio of comic books with Native superheroes to comic books without Native
superheroes is 1:3, how many comic books have Native superheroes?
a. 6 comic books
b. 7 comic books
c. 4 comic books
d. 5 comic books
Answer:
7
Step-by-step explanation:
N. comic books : Non N. Comic books=
1:3
Total number of parts= 4
If the total number of parts is 4 then logically , 4 represents 28.
So here we'll write
4 p = 28
I p = 28/4= 7
The native comic books is 1 p.
So we'll write,
1 p = 7 ×1 = 7 comic books
The diameter of a circle is 4 ft. Find its area to the nearest tenth.
Answer:
.09ft^2
Step-by-step explanation:
Answer:
12.6 ft^2
Step-by-step explanation:
2. Let p,q and r be simple statements. Determine whether the following compound statement is a tautology, contradiction or contingent statement: (q∧r)∨∼(q∧(p⇒r)) (14 marks)
The compound statement (q∧r)∨∼(q∧(p⇒r)) is a tautology, meaning that it is always true regardless of the truth values of the simple statements p, q, and r.
To determine whether the compound statement (q∧r)∨∼(q∧(p⇒r)) is a tautology, contradiction, or contingent statement, we need to consider all possible truth values of the simple statements p, q, and r.
Let's analyze the compound statement using a truth table:
p | q | r | (q∧r) | (p⇒r) | ¬(p⇒r) | q∧(p⇒r) | ¬(q∧(p⇒r)) | (q∧r)∨∼(q∧(p⇒r))
------------------------------------------------------------------------
T | T | T | T | T | F | T | F | T
T | T | F | F | F | T | F | T | T
T | F | T | F | T | F | F | T | T
T | F | F | F | F | T | F | T | T
F | T | T | T | T | F | T | F | T
F | T | F | F | T | F | F | T | T
F | F | T | F | T | F | F | T | T
F | F | F | F | T | F | F | T | T
From the truth table, we can see that the compound statement (q∧r)∨∼(q∧(p⇒r)) evaluates to True (T) for all possible truth value combinations of p, q, and r.
This means that the compound statement is a tautology, as it is always true regardless of the truth values of its constituent statements.
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Describe the error in finding the measure of one exterior angle of a regular polygon.
The error in finding the measure of one exterior angle of a regular polygon lies in using the formula 360°/n, where n is the number of sides of the polygon.
The formula 360°/n is used to find the measure of each exterior angle of a regular polygon. It is based on the idea that the sum of all exterior angles of any polygon is always 360 degrees. However, this formula assumes that the polygon has internal angles of 180°, which is true only for regular polygons.
The error occurs when this formula is applied to a non-regular polygon, as non-regular polygons have varying internal angles. Using the formula 360°/n for a non-regular polygon will give incorrect results because the internal angles are not all equal.
For regular polygons, each exterior angle is indeed 360°/n, and the sum of all exterior angles will be 360 degrees. However, for non-regular polygons, this formula cannot be used, and the measures of exterior angles must be calculated differently based on their internal angles and sides.
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The error in finding the measure of one exterior angle of a regular polygon is they divided 360 by 10 instead of 5.
Given that,
There are a total of 10 exterior angles, two at each vertex, so the measure of one exterior angle is 360°/10 = 36°.
Here, at each vertex there are two angles.
So, there must be 5 vertices and 5 sides.
Then, the measure of one exterior angle = 360°/5
= 72°
Therefore, the error in finding the measure of one exterior angle of a regular polygon is they divided 360 by 10 instead of 5.
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"Your question is incomplete, probably the complete question/missing part is:"
Describe and correct the error in finding the measure of one exterior angle of a regular polygon. There are a total of 10 exterior angles, two at each vertex, so the measure of one exterior angle is 360°/10 = 36°.
What are the four stages of transformation?.
There are four common types of transformations -
translation
rotation
reflection
dilation.
I don’t understand this type of question!
Answer: circle with center at (-11,-8) and a radius of 16
Step-by-step explanation:
3 James completely covered a square poster board using 68.2 in. of cardstock. Which measurement is
closest to one side of the poster board in inches?
a. 34 in.
b.8 in.
c. 6 in.
d.30 in.
I NEEP HELPP FAST
Answer:
8 in
Step-by-step explanation:
Area of a square = l×w
Since it is a square then l and w are equal to each other.
So we can instead just say l^2 = A
l^2 = 68.2
l = square root of 68.2
l = 8.26
Function \(y = f(x)\) is continuous on \(R\).
The function satisfy \(f(x)+x=\int\limits^2_0 {[f(x)-x]} \, dx\)
∀\(x\)∈\(R\).
Find the value of m so that \(\int\limits^2_0 {[mx+f(x)]} \, dx=0\).
A. m = -2
B. m = 0
C. m = -3
D. m = -1
The value of m so that the condition satisfies is -2, the correct option is A.
We are given that;
y=f(x) is continuous
Now,
To find the numbers c that satisfy the conclusion of the Mean Value Theorem, we need to solve the equation:
f’© = [f(2) - f(0)] / (2 - 0)
f’(x) = 8x - 2
f(2) = 4(2)^2 - 2(2) + 3 = 23
f(0) = 4(0)^2 - 2(0) + 3 = 3
f’© = (23 - 3) / (2 - 0)
f’© = 10
8m - 2 = 10
8m = 12
m = 12/8
m = -2
Therefore, by the given function the answer will be -2.
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mary's winning art design is shown. the smallest circle has radius 2 inches, with each successive circle's radius increasing by 2 inches. approximately what percent of the design is black?
Approximately 16% of the design is black.
Since the radius of each circle increases by 2 inches, the diameter of each circle increases by 4 inches. Thus, the diameter of the largest circle is 2 + 4(5) = 22 inches.
The area of each circle is proportional to the square of its radius, so the area of the smallest circle is π(\(2^2\)) = 4π square inches. The area of the second circle is π(\(4^2 - 2^2\)) = 12π square inches, the area of the third circle is π(\(6^2 - 4^2\)) = 20π square inches, and so on.
The total area of the design is the sum of the areas of all the circles, which is:
4π + 12π + 20π + 28π + 36π = 100π
The black area in the design consists of four quarter circles, each with a radius of 4 inches. The area of a one-quarter circle is:
(1/4)π(\(4^2\)) = 4π
So the total black area is 4 times this, or 16π.
The percent of the design that is black is:
(16π / 100π) x 100% ≈ 16%
Therefore, approximately 16% of the design is black.
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How many ways can a president, vice president, and secretary be selected from a class of 30 students? a. 90 b. 2,068 c. 4,060 d. 24,360
Answer:
the answer to your question should be 2,068
Step-by-step explanation:
i hope i am right but i think so
how many 5-card hands that can be dealt off of a 52-card deck, such that two cards are clubs and 3 are hearts?
Answer:
22308-------------------
There are 13 clubs and 13 hearts in the deck.
First, find the number of ways to choose 2 clubs out of 13:
C(13, 2) = 13! / (2!(13-2)!) = 78 combinationsNext, find the number of ways to choose 3 hearts out of 13:
C(13, 3) = 13! / (3!(13-3)!) = 286 combinationsNow, multiply these two results:
78 * 286 = 22308 possible handsCircle O is circumscribed About triangle ABC?
a: line AB
b: line AO
c: line ob
Is a diameter of circle O is the
a: Endpoint
b: midpoint
c: vertex
Of AB
Answer:
The correct options are;
a: line AB Is a diameter of circle O is the b: midpoint of AB
Step-by-step explanation:
Given that the circle with circumscribes the triangle, we have;
The definition of the circle allows either its radius or center to be specified, in this case, the on pint specified is O which would be the center
Given that from the options, we have AO and Ob , therefore, the line AB passes through the center and the correct option is a. line AN is a diameter of circle O is the b. midpoint of AB.
Answer:
line AB
midpoint
Step-by-step explanation:
Which expression represents the product of two factors: 7p and 9?
(7
p
)(9)
9(7p)
7p + 9
9 ÷ 7p
Answer:
9(7p) is the expression.
Step-by-step explanation:
Let's multiply 7p and 9 to get product,
→ 7p × 9
→ 9(7p)
So, the product is 9(7p).
ine f: z → z by the rule f(n) = 2 − 3n, for each integer n. (i) is f one-to-one? suppose n1 and n2 are any integers, such that f(n1) = f(n2). substituting from the definition of f gives that 2 − 3n1 =
To determine if function f is one-to-one using the given terms "integer" and "one-to-one," we will consider the function f: Z → Z defined by the rule f(n) = 2 - 3n for each integer n. and we will see that since n1 equals n2 when f(n1) = f(n2), the function f is one-to-one.
A function is one-to-one (or injective) if each input value corresponds to a unique output value. In other words, if f(n1) = f(n2), then n1 must equal n2.
Suppose n1 and n2 are any integers such that f(n1) = f(n2). Substituting from the definition of f gives: 2 - 3n1 = 2 - 3n2
Now, let's solve for n1 and n2 step by step:
Step:1. Subtract 2 from both sides of the equation:
-3n1 = -3n2
Step:2. Divide both sides by -3:
n1 = n2
Since n1 equals n2 when f(n1) = f(n2), the function f is one-to-one.
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Avery's bottle holds 400 milliliters.
Dashawn's bottle holds 3/4 as much
How many milliliters of water do both containers hold?
Answer:
you could make this really simple by dividing 300 by 4 to see how much 1/4 of that is and then subtracting 1/4 from 300 to see how much dashawn's water bottle holds,
Step-by-step explanation:
300/4 =75 so 1/4 is equal to 75 mL
300-75=225mL
Dashawn's water bottle holds 225mL
if the probability of an event is 75 97 75 97 , what is the probability of the event not happening?
Answer: 0%
Step-by-step explanation:
It's impossible for it to be different than 75 or 97