Answer:
3
Step-by-step explanation:
i wont explan
find the total surface area, leave your terms in pi.
Answer:
75.39822
Step-by-step explanation:
aj sold 200 candy bars to raise money for their community softball league. Milk chocolate candy bars sold for $3 each, and dark chocolate candy bars sold for $4 each. Aj sold $675 worth of candy bars. The system of equations below represents the sales of candy bars.
m+d=200
3m+4d=675
How many dark chocolate candy bars did AJ sell?
Enter your answer in the box.
The number of dark chocolate AJ sold is 75
What is Simultaneous equation?Simultaneous equations are two or more algebraic equations that share variables e.g. m and d . They are called simultaneous equations because the equations are solved at the same time.
If the number of Milk chocolate candy is m and the number of dark chocolate candy is d, then
m+d= 200 equation 1
3m+4d= 675 equation 2
to eliminate m we multiply both equations by 3
3m+3d= 600 equation 3
3m+ 4d=675 equation 4
subtract equation 3 from 4
d = 675-600
d= 75
Therefore the number of dark chocolate candy AJ sold is 75.
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explain how to find the least common multiple of two numbers.
Answer:
One way to find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.
Step-by-step explanation:
Answer:
First convert numbers into prime numbers. find which number(s) is/are repeating. Multiply all numbers execpt for the number that repeat. Multiply those once.
Step-by-step explanation:
12 = 3*2*2
14 = 2*7
One 2 repeats
3*2*2*7 = 21*4 = 84
Lcm(12, 14) = 84
Giving 50 points please help asap I have 20 mins
Answer:
7
Step-by-step explanation:
LaTeX Solution
\(\frac{x + 3}{5} = 2\)
\(x + 3 = 10\)
\(x = 7\)
No LaTeX Solution:
(x + 3)/5 = 2
x + 3 = 10
x = 7
Based on the sample data set, find the lower fence and upper fence. Lower Fence = Upper Fence = Is 26 a outlier? No Yes Is 25 a outlier? Yes No Is 4 a outlier? Yes No
Lower Fence = Upper Fence = 11.25
Is 26 an outlier? No
Is 25 an outlier? Yes
Is 4 an outlier? Yes
To determine the lower fence and upper fence, we need to calculate the boundaries for potential outliers using the interquartile range (IQR). The IQR is the range between the first quartile (Q1) and the third quartile (Q3).
In this case, the lower fence is Q1 - 1.5 * IQR, and the upper fence is Q3 + 1.5 * IQR. If any data points fall below the lower fence or above the upper fence, they are considered potential outliers.
However, without the specific data set, it is not possible to calculate the actual values for Q1, Q3, and the IQR. Therefore, the lower fence and upper fence cannot be determined.
Regarding the values 26, 25, and 4, we can assess whether they are outliers once we have the lower fence and upper fence. If a value falls outside the range defined by the lower fence and upper fence, it is considered an outlier. Therefore, we cannot definitively determine if 26 is an outlier without the fence values, but based on the given information, it is not an outlier. On the other hand, both 25 and 4 are identified as outliers based on the available information.
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Which table of ordered pairs represents a proportional relationship?
X
0
5
10
X246
123
2
3
134
3
4
10
20
30
10
20
30
234
4
10
13
Answer:
The second option
Step-by-step explanation:
The second option is a proportional relationship since the ratio between y and x is constant.
10/2 = 5
20/4 = 5
30 / 6 = 5
What is the vertex of the graph of f x )=[ x 5 ]- 6?
The vertex of the graph of f(x) = |x - 5| - 6 is (5, -6). It lies in the fourth quadrant.
Therefore the answer is (5, -6).
The graph f(x) = |x - 5| - 6 is symmetrical about the axis x = 5.
A vertex of a graph is a node of a graph. For a graph of the form f(x) = a|x - h| + k, the vertex is (h, k). So in this case where f(x) = |x - 5| - 6, a = 1, h = 5 and k = -6. Therefore the vertex of the given graph f(x) is
(5, -6)
--The question is incomplete, answering to the question --
"What is the vertex of the graph of f(x) = |x - 5| - 6?"
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A bag contains red and green marbles of equal size. There are more red marbles than green marbles in the bag. A marble is chosen from the bag without looking. Which point could represent the probability that a red marble is chosen? A B C D E
PLS HELP ASAP!! WORTH 30 POINT,PLS TRY TO BE ORGANIZED AND IF U CAN MAYBE DO IT ON PAPER SO ITS EASIER LIKE JS SOLVE IT ON PAPER W/O NO EXPLANATION OR ON HERE W EXPLANATION.SHOW UR WORK PLS SOLVE INEQUALITIES WITH INTEGERS, Q:#12-#15 THANK UU(:
The range of x are;
1. x < -30
2. x > 8
3. x > 15
4. x < -2
What is inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality.
1. -130 > 50x +20
-130-20> 50x
-150 > 50x
-150/50 > x
-30 > x
x < -30
2. -8(x-3) < -40
-8x +24< -40
collect like terms
-8x < -64
x > -64/-8
x > 8
3. 2x - 22 > 8
collect like terms
2x > 30
divide both sides by 2
x > 30/2
x > 15
4. -35 < -5(x+9)
-35 < -5x -45
collect like terms
10 < -5x
-2 > x
x < -2
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Question 3 The Schwarzschild metric is given by 2M 2M ds² -(₁-²M) di² + (1-²¹)- 1- dr² +r² (d0² + sin² 0 dó²). There are Killing vectors associated with time invariance and angular momen- tum invariance in the direction in this geometry leading to the conserved quantities e = (1-2) and l= r² sin² 0 dr From this one can derive an analog to the radial energy equation in Newtonian mechanics by orienting the coordinates so that the orbits are confined to the equatorial plane where 0 = π/2 and u = 0. One finds 2 1 dr + Veff (r) = E 2 dr (e²_ -1) where E = and Veft(r) = - + 2/²/²2 - Mp³². Further, for circular orbits one can show that M | [₁ + √/₁−12 (+1)]. r+= | 2M Finally, for circular orbits of radius R do 1/2 M dt R³ (a) Which value of r corresponds to the Schwarzschild radius of stable circular orbits: r or r? Justify your answer. [3 marks] (b) Show that for circular orbits of radius R do 1/2 M -1/2 3M (²) ¹² (1-³) dT R³ R where is the proper time. [6 marks] (c) A free particle is moving in a circular orbit around a spherical source of curvature of mass M. The Schwarzschild radius of the orbit is 8M. Use the equivalence principle to argue that the period as measured at infinity should be larger than that measured by the particle. [4 marks] (d) Find the period of the orbit as measured by an observer at infinity. Find the period of the orbit as measured by the particle. [7 marks] M
(A) Circular orbits of stable particles are possible at radii greater than three times the Schwarzschild radius for the non-rotating spherically symmetric mass.
This represents the radius of a black hole's event horizon, within which nothing can escape. The Schwarzschild radius is the event horizon radius of a black hole with mass M.
M can be calculated using the formula: r+ = 2Mwhere r+ is the radius of the event horizon.
(B) 1/2 M -1/2 3M (²) ¹² (1-³) dT = R³ R. This is the required expression.
Tau is the proper time of the particle moving around a circular orbit. Hence, by making use of the formula given above:1/2 M -1/2 3M (²) ¹² (1-³) dT = R³ dt.
(C) Time passes differently in different gravitational fields, and it follows that the period as measured at infinity should be larger than that measured by the particle.
The principle of equivalence can be defined as the connection between gravitational forces and the forces we observe in non-inertial frames of reference. It's basically the idea that an accelerating reference frame feels identical to a gravitational force.
(D) The period of the orbit as measured by an observer at infinity is 16π M^(1/2) and the period of the orbit as measured by the particle is 16π M^(1/2)(1 + 9/64 M²).
The period of orbit as measured by an observer at infinity can be calculated using the formula: T = 2π R³/2/√(M). Substitute the given values in the above formula: T = 2π (8M)³/2/√(M)= 16π M^(1/2).The period of the orbit as measured by the particle can be calculated using the formula: T = 2π R/√(1-3M/R).
Substitute the given values in the above formula: T = 2π (8M)/√(1-3M/(8M))= 16π M^(1/2)(1 + 9/64 M²).
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from the Venn diagram list all the elements in G U H in set notation
G={apple,orange,banana,grape,duruan,pear}
H={apple,banana,grape,strawberry}
Answer: The Union of two sets will be all elements without duplicate elements. So G U H ={apple , orange , banana , grape , duruan ,pear , strawberry}
Step-by-step explanation:
"U" is the union of two sets. The no of values in Union of two sets G , H
is G U H = G + H - (G ∩ H)
G set contains the elements are {apple ,orange ,banana ,grape ,duruan ,pear}.H set contains the elements are apple ,banana, grape, strawberry. G ∩ H the same elements between G, H. The Elements which are common are [apple ,banana ,grape}. G + H are the elements in G,H with duplicates . The elements are {apple, orange, banana, grape, duruan, pear, apple, banana, grape, strawberry}.Now removing duplicates are G + H - (G ∩ H) . So the elements are {apple , orange , banana , grape , duruan ,pear , strawberry}.To learn more about sets notation,
Is (5,-2) a solution of the graphed inequality?
Answer: yes
Step-by-step explanation:
Yes, because it is in the shaded part. Anything in the line or shaded part are part of the answer :)
Find the LCM of k2 + 3k + 2 and 2k2 + 14k + 20.
Answer:
2(k+1)(k+2)(k+5)
If one or more data items are much greater than the other items, the mean, rather than the median, is more representative of the data.
a. True
b. False
The given statement is FALSE.
If one or more data items are much greater than the other items, the median, rather than the mean, is more representative of the data.
When one or more data items are much greater than the other items, these extreme values can greatly influence the mean.
When you have a skewed distribution, the median is a better measure of central tendency than the mean
The median and mean can only have one value for a given data set. The mode can have more than one value
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Please help! Having a lot of trouble with this! Thank you so much if you do!
Answer:
option B is correct.
Explanation:
\(\sf Equation : y-4\ =-\frac{2}{3}\left(x+3\right)\)
\(\sf \rightarrow y\ =-\frac{2}{3}x-2 + 4\)
\(\sf \rightarrow y\ =-\frac{2}{3}x + 2\)
comparing it with slope intercept form "y = mx + b'' where m is slope and b is y-intercept.
Here slope: -2/3 and y-intercept: 2
This means the slope is decreasing and has crosses the y axis at (0, 2)
How do I determine whether a graph is a function?
Here's a more detailed explanation: To determine if a graph is a function, you can use the vertical line test. The vertical line test states that if you can draw a vertical line that intersects the graph in more than one place, then the graph is not a function.
Determining whether a graph represents a function is an important concept in mathematics, especially in algebra and calculus. A function is a set of ordered pairs where each input is associated with exactly one output.
So, if you take a ruler or a straight edge and place it vertically on the graph, and it intersects the graph in two or more points, then the graph is not a function. This is because if two points in the graph have the same x-value, they must have different y-values, since functions can only have one output for each input.
On the other hand, if you place a vertical line anywhere on the graph and it intersects the graph in only one point, then the graph is a function.
It's also important to remember that a function must also pass the horizontal line test, which means that no horizontal line can intersect the graph in more than one place.
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If RS = ST then point S is called the midpoint of .
always
sometimes
never
Marissa says that lines a and d will eventually intersect.
Is she correct? Explain.
Q
yes, because they are on the same plane
O yes, because they are perpendicular
O no, because they are parallel
O no, because they are skew
Intro
Done
Answer:
d) no because they are skew
Step-by-step explanation:
e2020
Answer:
It's D
Step-by-step explanation:
A and D are both in different planes, skew lines are line that will never intersect because they are noncoplanar, meaning they are never in the same plane. If they aren't in the same plane, they can't intersect.
The corporate board has a rectangular table. There are 12 seats [one on each end and 5 down each side]. If the CEO and President must sit on the ends and Mr. Jaggers (the lawyer) must sit next to either the CEO or the President, how many seating arrangements are possible?
There are 725,760 possible seating arrangements that meet the given conditions.
To determine the number of seating arrangements for the corporate board's rectangular table, we need to consider the positions of the CEO, the President, and Mr. Jaggers, while taking into account the restrictions mentioned.
Given:
There are 12 seats on the table.
The CEO and the President must sit on the ends. This leaves 10 seats available.
Mr. Jaggers must sit next to either the CEO or the President.
Let's consider the possible scenarios for Mr. Jaggers' seating position relative to the CEO and the President:
Mr. Jaggers sits next to the CEO:
In this case, we have two choices for Mr. Jaggers' seat (either on the left or right side of the CEO). After placing Mr. Jaggers, the remaining 9 seats can be filled in (excluding the seats for the President and CEO) in 9! (9 factorial) ways.
Mr. Jaggers sits next to the President:
Similar to the previous case, we have two choices for Mr. Jaggers' seat (either on the left or right side of the President). After placing Mr. Jaggers, the remaining 9 seats can be filled in 9! ways.
Since the two cases are mutually exclusive, we can sum up the number of seating arrangements for each case:
Total number of seating arrangements = (Number of arrangements with Mr. Jaggers next to the CEO) + (Number of arrangements with Mr. Jaggers next to the President)
Total number of seating arrangements = 2 * 9!
Calculating this value:
Total number of seating arrangements = 2 * 9! = 2 * 362,880 = 725,760.
Therefore, there are 725,760 possible seating arrangements that meet the given conditions.
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What are the steps to verify trigonometric identities?
Answer:Here you go
Step-by-step explanation:
Change everything into terms of sine and cosine.
Use the identities when you can.
Start with simplifying the left-hand side of the equation, then, once you get stuck, simplify the right-hand side. As long as the two sides end up with the same final expression, the identity is true.
Half of Mrs. Williams's class brings in cookies. Out of those students, 1/4 bring in homemade cookies. What fraction of Mrs. Williams's class brings in homemade cookies?
out of the half of the class, 1/4 brought home made cookes, then, we have the following:
\(\frac{1}{2}\cdot\frac{1}{4}=\frac{1}{8}\)therefore, 1/8 of the class brings in homemade cookies
Edward deposited $6,500 into a savings account 4 years ago. The simple interest rate is 5%. How
much money did Edward earn in interest?
Substitute the values into the equation.
Interest=$• • years
Edward earned $ in interest.
Answer:
Edward earned $1300 interest in 4 years.
Step-by-step explanation:
Principal Amount = Initial Investment = $6500
Time t = 4 years
Interest rate r = 5% = 0.05 (it is taken in decimal i.e 5/100 = 0.05)
We need to find interest.
The formula used is: \(Interest= Principal\times r \times t\)
Putting values and finding Interest
\(Interest= Principal\times r \times t\\Interest=6500\times 0.05 \times 4\\Interest= 1300\)
So, the interest = $1300 in 4 years.
Edward earned $1300 interest in 4 years.
Determine the measure of the vertical angle. Find x. Step by step ? If not that’s fine.
Answer:
x=60
Step-by-step explanation:
125=2x+5
125-5=120
120÷2=60
x=60
Find the slope of the line that is parallel and perpendicular to the following equation.
2x-2y=-6
Answer:
Parallel lines 1
perpendicular lines -1
Step-by-step explanation:
2x-2y = -6
Solve for y to get it in slope intercept form
-2y = -2x-6
Divide by -2
y = x+3
This is slope intercept form y = mx+b where m is the slope
Parallel lines have the same slope
A parallel line would have a slope of 1
Perpendicular lines would have a slope that is a negative reciprocal
-1/1
Perpendicular lines would have a slope of -1
Let us first put it into slope-intercept form ⇒ \(y = mx + b\)
m: slopeb: y-intercept of the functionTo put it into that format, we need to simply put y on one side of the equation and the rest on the other side
\(2x - 2y =-6\\-2y = -2x -6\\y = x +3\)
What do we want to find first ⇒ a line parallel to the original line
a line that is parallel to the original line only has one requirement, it must have the same slope, such as the one below\(y = x +5\)
What do we also want to find ⇒ a line perpendicular to the original line
a line that is perpendicular to the original line only has one requirement, the slope has to be the negative reciprocal of the original slope⇒ original slope is 1 ⇒ negative reciprocal is - 1/1 = -1
⇒ so an example is
\(y = -x + 3\)
Answer:
Line that is parallel: slope is 1Line that is perpendicular: slope is -1Hope that helps!
I really need help with this thing to please, if yall could answer like right now I would really appreciate it a lot.
what independent variable in costello et al. (2003) was not manipulated by the research team?
In Costello et al. (2003), the independent variable that was not manipulated by the research team was the gender of the participants.
The study examined the effects of different levels of alcohol consumption on cognitive performance and mood states in young adults. Participants were assigned to different alcohol consumption groups based on their self-reported drinking habits. However, the gender of the participants was not manipulated, and the study included both male and female participants. This means that any differences in the results based on gender cannot be attributed to the research team's manipulation of the independent variable, but rather to other factors that may have affected the results.
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The accompanying table shows the average yearly balance in a savings account what is the average rate of change in dollars per year from 10 to 30 years
0 380
10 562.49
20 832.63
30 1232.49
40 1824.39
50 2700.54
(1)33.5
(2)0.0298
(3)46.41
(4)42.06
The average rate of change in dollars per year from 10 to 30 years is: 1. 33.5.
How to determine the average rate of change?In Mathematics, the average rate of change of f(x) on a closed interval [a, b] is given by this mathematical expression:
Average rate of change = [f(b) - f(a)]/(b - a)
Next, we would determine the average rate of change of the function g(t) over the interval [10, 30]:
a = 10; f(a) = 562.49
b = 30; f(b) = 1232.49
Substituting the given parameters into the average rate of change formula, we have the following;
Average rate of change = (1232.49 - 562.49)/(30 - 10)
Average rate of change = 670/20
Average rate of change = 33.5.
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Nick starts his homework in the car and finishes 7 problems. When he gets home, he completes another problem every minute. Write an equation for this line. *
After 20 minutes, Nick would have completed a total of 27 problems.
The equation for this situation can be expressed as:
y = mx + b
where:
y represents the total number of problems completed,
x represents the total time elapsed in minutes,
m represents the rate at which Nick completes problems, and
b represents the initial number of problems Nick already completed.
In this case, the initial number of problems completed by Nick in the car is given as 7. Therefore, the equation becomes:
y = mx + 7
Since Nick completes one problem every minute after arriving home, the rate at which he completes problems is 1 problem per minute. Hence, the equation can be further simplified to:
y = x + 7
In this equation, as time (x) increases by one minute, the number of problems completed (y) increases by one. The initial value of 7 accounts for the problems Nick finished in the car before reaching home.
This equation provides a linear relationship between the number of problems completed and the time elapsed. It allows us to calculate the number of problems Nick has completed at any given time by substituting the value of x (time) into the equation. For example, if we want to know the total number of problems Nick has completed after 20 minutes, we can substitute x = 20 into the equation:
y = 20 + 7
y = 27
Therefore, after 20 minutes, Nick would have completed a total of 27 problems.
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What is the value of x, given that the two prisms are similar?
A
5
OA. 40
OB. 30
O C. 10
OD. 20
20
8
9
10
The value of x is 40 given that the two prisms are similar.
How to find the value of x?If the two prisms are comparable, then their corresponding sides will be proportionately the same.
x / 20 = 10 / 5
x/ 20 = 2
x = 2 * 20
x = 40
Therefore, the value of x is 40 given that the two prisms are similar.
What is a prisms?A prism is a geometric shape that has two parallel and congruent bases that are connected by a set of rectangular or parallelogram faces. When light enters a prism, it is refracted, or bent, due to the different angles of the surfaces of the prism.
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the question lack some information.
See more detail of the question on the attached image.
graph function need help