Answer:
\(A = 16\) -- (a)
\(m = 17.5\) -- (b)
Step-by-step explanation:
Given
Variation: Direct
A = 8; m = 20
First, represent the variation.
\(A\ \alpha\ \ m\)
Represent as an equation
\(A = km\)
Make k, make the subject
\(k = \frac{A}{m}\)
A = 8; m = 20; So
\(k = 8/20\)
\(k = 0.40\)
When m = 20, we have:
\(A = km\)
\(A = 0.40 * 40\)
\(A = 16\)
When A = 7, we have:
\(A = km\)
\(7 = 0.40 * m\)
\(m = \frac{7}{0.40}\)
\(m = 17.5\)
light of 650 nm wavelength illuminates a single slit of width 0.20 mm . (figure 1) shows the intensity pattern seen on a screen behind the slit.
the intensity pattern visible on a screen at 1.168 metres behind the slit.
That is the answer to the question "650 nm light shines on two slits that are separated by 0.20 mm. The image depicts the intensity pattern visible on a screen hidden behind the slits (Figure 1).
How far away from you is the screen?"
It is possible to specify that the distance to the screen is d=1.168m.
The answer to the question is that 650 nm light illuminates two slits that are 0.20 mm apart. The image depicts the intensity pattern visible on a screen hidden behind the slits (Figure 1).
How far is the screen from you?
The equation for the distance is typically presented mathematically as
d=1.168m
As a result,
d=1.168m is the distance to the screen.
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The question is in the picture.
Easy way to do this, divide 24 with 3, you will get 8. That means 8 is 1/3 of 24. To get 2/3 you just add 8+8 which equals to 16
which set of ordered pairs corresponds to the graph ?
Answer:
Let first check the coordinates of the points
A = (1 , -6)
B = (2 , -4)
C = (2, -2)
D = (4, -2)
E = ( 6, 0)
Option 4 is correct..
Explanation -
to find the coordinates we have to find the distance of that point from x Axis and then y axis. from origin.
Carl is ten years older than Jose. Five years ago Carlos was three times as old as Jose. How old is Jose now?
Jose is 10 years old now
Explanation:Let carl's age be c
Let Jose's age be j
Carl is 10 years older than Jose
c = j + 10.........................(1)
Five years ago, Carlos was three times as old as Jose
c - 5 = 3(j - 5).......................(2)
Substitute equation (1) into equation (2)
j + 10 - 5 = 3(j - 5)
j + 5 = 3j - 15
3j - j = 5 + 15
2j = 20
j = 20/2
j = 10
Therefore, Jose is 10 years old now
The sum of two numbers is 66 and the difference is 14. What are the numbers!?
Larger number :
Smaller number!?
Answer:
66 and 52?
Step-by-step explanation:
2 3/4 of 500grams in step by step calculator
Answer:
To calculate 2 3/4 of 500 grams, follow these steps:
1. Convert the mixed number to an improper fraction:
2 3/4 = (2 x 4 + 3)/4 = 11/4
2. Multiply the improper fraction by 500:
11/4 x 500 = (11 x 500)/4 = 2,750/4
3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:
2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2
Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.
Step-by-step explanation:
A lease provides that the tenant pays $760 minimum rent per month plus 4% of the gross sales in excess of $150,000 per year. If the tenant paid a total rent of $20,520 last year, what was the gross sales volume?
Answer:
$435,000
Step-by-step explanation:
$760 per month * 12 months = $9,120
The minimum rent requires an annual rental cost of $9,120.
The annual rent was $20,520.
The excess was $20,520 - $9,120 = $11,400.
The amount of $11,400 of the rent was due to the gross sales in excess of $150,000.
$11,400 is 4% of the amount in excess of $150,000.
Let the amount in excess of $150,000 = x.
$11,400 = 4% of x
0.04x = 11,400
x = 285,000
$285,000 is the amount in excess of $150,000.
Total gross sales volume = $285,000 + $150,000 = $435,000
how do I find range and domain
For each pair of functions f, g below, find f(g(x)) and g(f(x))
Then, determine whether and are inverses of each other.
Simplify your answers as much as possible.
(Assume that your expressions are defined for all in the domain of the composition.
You do not have to indicate the domain.)
Answer:
See below
Step-by-step explanation:
Part A
\(f(g(x))=f(\frac{x}{3})=3(\frac{x}{3})=x\\g(f(x))=g(3x)=\frac{3x}{3}=x\)
Since BOTH \(f(g(x))=x\) and \(g(f(x))=x\), then \(f\) and \(g\) are inverses of each other
Part B
\(f(g(x))=f(\frac{x+1}{2})=2(\frac{x+1}{2})+1=x+1+1=x+2\\g(f(x))=g(2x+1)=\frac{(2x+1)+1}{2}=\frac{2x+2}{2}=x+1\)
Since BOTH \(f(g(x))\neq x\) and \(g(f(x))\neq x\), then \(f\) and \(g\) are NOT inverses of each other
A coin is tossed three times. What is the probability of getting heads on each toss? Express the answer as a reduced fraction.
\(|\Omega|=2^3=8\\|A|=1\\\\P(A)=\dfrac{1}{8}\)
Determine the probability of rolling a die and getting a 2
then a 5.
The probability of rolling a die and getting a 2, then a 5, is 1/36.
To determine the probability of rolling a die and getting a 2, then a 5, we need to multiply the probabilities of each event happening.
First, let's consider the probability of rolling a die and getting a 2. Since there are six equally likely outcomes when rolling a fair six-sided die (numbers 1 to 6), the probability of rolling a 2 is 1/6.
Now, let's consider the probability of rolling a die and getting a 5. Again, there are six equally likely outcomes, so the probability of rolling a 5 is also 1/6.
To find the probability of both events happening, we multiply the probabilities:
Probability of rolling a 2 and then a 5 = (1/6) * (1/6) = 1/36.
Therefore, the probability of rolling a die and getting a 2, then a 5, is 1/36.
It's important to note that each roll of the die is an independent event, meaning that the outcome of one roll does not affect the outcome of the next roll. Therefore, the probability of rolling a 2 and then a 5 remains constant at 1/36 regardless of previous rolls or the order in which they occur.
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Help help help help help help math math
Solve for the value of p
Answer:
12
Step-by-step explanation:
To solve for p, we need to make use of the fact that the sum of the angles on a straight line is 180°. This is abbreviated as adj. ∠s on a str. line.
Let's form an equation:
(6p +3)° +(9p -3)°= 180° (adj. ∠s on a str. line)
Simplify:
15p= 180
Divide both sides by 15:
p= 180 ÷15
p= 12
Thus, the value of p is 12.
Additional:
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https://brainly.com/question/28161663Answer:
p = 12
Step-by-step explanation:
(6p + 3) and (9p - 3) are a linear pair and sum to 180° , that is
6p + 3 + 9p - 3 = 180
15p = 180 ( divide both sides by 15 )
p = 12
the left-moving pulse could be described by the following type of equation: yleft(x,t)
The equation y(x,t)=0.8[(4x+5t)2+5] , represents a moving pulse where x and y are in meter and t is in second.
i) Direction of wave propagation is negative x-axis.
ii) The wave speed is 1.25m/s.
iii)The maximum displacement from the mean position (i.e., the amplitude of the wave) is 0.16 m.
iv)The wave pulse is symmetric.
We compare the given wave equation from the standard wave equation. On comparing, direction and wave speed is found out. The Remaining two parts are found by maxima concept and changing x by −x at t=0 to get a wave is symmetric.
Moving pulse is given by
⇒y(x,t)=0.8[(4x+5t)2+5]
Comparing (4x+5t) with (ax+bt) then we get,
⇒a=4 and b=5 ⋯⋯⋯(1)
(i) When coefficients of x and t are positive then the wave pulse is moving negative x-direction. So, given an equation with coefficients a = 4 and b= 5 are positive. Therefore, the direction of the given equation will be negative x axis.
(ii) After getting the coefficient a and b, we can calculate the speed by determining the value of b/a. And we have value of a =4 and b =5 from the equation (1) .Then speed of the wave will be
=> b/a=5/4
=> speed of the wave =1.25m/s
(iii) To get the maximum displacement from the mean position we put (4x+5t)=0. As the denominator is minimum, the fraction will be maximum. Therefore displacement will be
=> y=0.85, putting the (4x+5t) is equal to zero.
After simplify we get,
=> y=0.16 m
Hence maximum displacement is 0.16m from the mean position,
(iv) We replace x by −x and also put t= 0 in the given equation. If the equation does not change, replacing the x by −x, it will be symmetric otherwise not.
Putting t=0 in the given equation y(x,t) we get,
=> y=0.8(4x)2+5
Now replace x by −x on the above equation we get, y=0.8(4x)2+5
there will not be any change. Therefore, the given equation is symmetric.
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Complete question:
If y(x,t)=0.8[(4x+5t)2+5] , represents a moving pulse where x and y are in meter and t is in second. Find
(i) Direction of wave propagation.
(ii) The wave speed.
(iii) The maximum displacement from the mean position (i.e., the amplitude of the wave)
(iv) Whether the wave pulse is symmetric or not.
If f(x) = 3x + 2 and g(x) = 2x - 1, find gof(x).
Answer:
6x + 3 depending if i read it right
Step-by-step explanation:
if you mean
g(f(x)) then:
2(3x + 2) - 1
6x + 4 - 1
6x + 3
Function and notaion.
Answer: 45
Step-by-step explanation:
Function notation: is another way of writing a function to make it easy to understandInstead of the independent and dependent variables being x and y they are now x and f(x)f(x) can be interpreted as the y value at a given x value in this case f(-5) must be solved for, essentially saying what is y when the x value is -5\(f(-5)=2(-5)^{2} -5\)
\(f(-5)= 2(25) -5\)
\(f(-5) = 50-5\)
\(f(-5) = 45\)
Consider randomly selecting a single individual and having that person test drive different vehicles. Define events , , and by Suppose that , , , , , and . What is the probability that the individual likes both vehicle
Answer:
\(P(A_1\ n\ A_2) = 0.40\)
Step-by-step explanation:
Let:
\(A_1 \to\) An Individual likes vehicle 1
\(A_2 \to\) An Individual like vehicle 2
\(P(A_1) = 0.55\)
\(P(A_2) = 0.65\)
\(P (A_1\ u\ A_2 ) = 0.80\)
Required
\(P(A_1\ n\ A_2)\) --- probability that both vehicles are liked by the individual.
This is calculated as:
\(P(A_1\ n\ A_2) = P(A_1) + P(A_2) - P(A_1\ u\ A_2)\)
So, we have:
\(P(A_1\ n\ A_2) = 0.55 + 0.65 - 0.80\)
\(P(A_1\ n\ A_2) = 0.40\)
students recorded the total number of pages and chapters in each of several books on the scatterplot. Based on the sbcatterplot, which is the best prediction of the number of chapters in a book with 200 pages
Answer:
7
Step-by-step explanation:
Answer: 7
Step-by-step explanation:
For this problem, assume that the lottery pays $ 20 on one play out of 200, it pays $1500 on one play out of 7500, and it pays $ 20000 on one play out of 200000. 1) What probability should be assigned to a ticket's paying $ 20? 2) What probability should be assigned to a ticket's paying $ 1500? 3) What probability should be assigned to a ticket's paying $ 20000? 4) What probability should be assigned to a ticket's not winning anything?
1.The probability of winning $20 is 1/200.
2.The probability of winning $1500 is 1/7500.
3.The probability of winning $20000 is 1/200000.
4. the probability of not winning anything is 0.9989375
1.The probability of winning $20 is
P(winning) = p(winning chance)/total
=1/200.
2.The probability of winning $1500 is
P(winning 1500) = p(winning chance)/total
= 1/7500.
3.The probability of winning $20000 is
P(winning) = p(winning chance)/total
=1/200000.
4.To find the probability of not winning anything, you can subtract the sum of the probabilities of winning $20, $1500, and $20000 from 1. This is 1 - (1/200 + 1/7500 + 1/200000) = 1 - 0.0010625 = 0.9989375
Probability is a mathematical concept used to measure the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event. A probability of 0.5, for example, means that there is an equal chance of an event happening or not happening. In general, the probability of an event can be calculated as the number of favorable outcomes divided by the number of possible outcomes.
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Let U = { 1, 2, 3, 4, 5, 6, 7}, A = { 2, 3, 5, 7} and B = { 2, 4, 7} . Find the set A ∩ B .
A ∩ B =
Answer:
A ∩ B = { 2, 7}
Step-by-step explanation:
we are asked to find intersect of A and B (A ∩ B) .. i.e the common numbers in A and B
A ∩ B = { 2 , 7 }
What is 254212610 rounded to nearest million
Answer:
Step-by-step explanation:
Starting from the right, put this into groups of three so you can see for sure where a million is.
254 212 610
A million is right where the 4 is. So use the hundred thousands (the second 2) to round to the nearest million. Since 2 is less than 5, it rounds like this.
254 000 000
Consider the work sample and statements below. Select ALL that apply.
Answer:
A, B, D, F
Step-by-step explanation:
The work of solving the standard-form equation that is the difference of squares is properly shown except for Line 4. Statement [F] correctly describes the proper solution, which results in the solution set shown in Statement [B].
The first step was necessary to put the equation into standard form (Statement [D]). That form is the difference of squares (Statement [A]).
The statements that correctly describe the work are A, B, D, F.
Please solve this with clear steps!!!!! 20 POINTS
The width of the river using the similar triangle is 43.3 metres.
How to find the width of the river?The surveyor wants to determine the width of the river . Let's use the pair of similar triangle to find the width of the river.
Therefore, two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.
Hence, let's find the width of the river.
Therefore,
18.6 / 34.2 = AB / 79.6
cross multiply
18.6 × 79.6 = 34.2 AB
34.2 AB = 1480.56
divide both sides of the equation by 34.2
AB = 1480.56 / 34.2
AB = 43.2912280702
AB = 43.3 metres
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How many triangles and rectangles/squares do you need to solve for?
Answer:
8 triangles
Step-by-step explanation:
1 Triangle = 2 needed to be solve. 4 triangle × 2 =8.
Two angles of a quadrilateral measure 130° and 195°. The other two angles are in a ratio of 2:5. What are the measures of those two angles?
The measure of other two angles in the given quadrilateral are 10° and 25°.
What is quadrilateral?A quadrilateral is a polygon with four sides four angles and four vertices. Whenever we name a quadrilateral, we need to keep in mind the order of the vertices.
Given that, two angles of a quadrilateral measure 130° and 195°.
The other two angles are in a ratio of 2:5.
So, the other two angles are 2x and 5x
Now, 130°+195°+2x+5x=360°
325°+7x=360°
7x=360°-325°
7x=35°
x=5
So, 2x=10° and 5x=25°
Therefore, the measure of other two angles in the given quadrilateral are 10° and 25°.
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Use the similar shape concept of geometry to find the missing value (x). Round your answer to the nearest tenth if necessary.
7 in
3 in
x in
4 in
Step-by-step explanation:
7:3
4:x
-cross multiply
7x = 12
x = 12÷7
x = 1.7
My current grade is a 64.21%
7%-enrichment assignments
16%-homework assignments
19%-exam 1,2 and 3
20%-final exam
I have exam 3 next week, before final exam I want to up my grade to a 70% or above what grade would I need to get on my exam 3 to do so?
Answer:
i would say at least a 70
and i hope you do well
hope this helps ;)
At a sports event, a fair coin is flipped to determine which team has possession of the ball to start. The coin has two sides, heads, (H), and tails, (T). Identify the correct experiment, trial, and outcome below: Select all that apply: a. The experiment is identifying whether a heads or tails is flipped. b. The experiment is flipping the coin c. A trial is flipping a heads. d. A trial is one flip of the coin. e. An outcome is flipping a tails. f. An outcome is flipping a coin once.
The correct answer about experiment, trial, and outcome is
a. The experiment identifies whether a head or tail
b. The experiment is flipping the coin
d. A trial is one flip of the coin
Experiment:
An experiment in probability is a process or activity that involves observing or measuring an outcome or event, in order to determine the likelihood or probability of certain outcomes.
Outcome:In probability, an outcome refers to a possible result that can occur from an experiment or event. It is one of the possible outcomes that can happen, and it may be a single result or a set of results.
TrialIn probability, a trial is a single repetition of an experiment or event. It is the process of observing or measuring the outcome of an event or experiment once.
Here we have
At a sports event, a fair coin is flipped to determine which team has possession of the ball.
The coin has two sides, heads, (H), and tails, (T).
From the given options correct answers are
a. The experiment identifying whether a head or tail is flipped is correct because the experiment is to determine which side of the coin will be facing up after the coin is flipped, either heads (H) or tails (T).
b. The experiment is flipping the coin is correct because the experiment involves physically flipping the coin.
d. A trial is one flip of the coin is correct as a trial is defined as a single performance of an experiment, in this case, flipping the coin once.
Therefore,
The correct answer about experiment, trial, and outcome is
a. The experiment identifies whether a head or tail
b. The experiment is flipping the coin
d. A trial is one flip of the coin
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AXYZ AMNL
X
XY =
33°
Y
LA
12
N
124°
N
8
M
Answer:
8
Step-by-step explanation:
You want to know the measure of segment XY if ∆XYZ ≅ ∆MNL and MN = 8.
Corresponding sidesSegment XY is named using the first two vertices listed in the name of ∆XYZ. That means the segment is the same length as the one named by the first two vertices listed in the name of congruent ∆MNL, segment MN.
Segment MN is given as 8 units long. Segment XY is congruent, so is also 8 units long.
XY = 8 units
<95141404393>
(-8.8)(-9) =
(0.5)(-0.5)=
(-0.2)(-5)
Answer:
(-8.8)(-9)= 79.2
(0.5)(-0.5)= -0.25
(-0.2)(-5)= 1