The coordinates of B when it is given that A(5,-2) and M(12,6) is (29, 14).
How to find the coordinatesIf M is the mid-point of line segment AB, and the coordinates of A = (5,-2) while the coordinates of B = (12,6), then the coordinates of M = (8.5,2), which is what you stated that you got.
You are provided with M = (12,6) so you need to identify the coordinates of B. So, just ask yourself how did I get from A to M ? The answer is move 7 right and 8 up since 5 + 7 = 12 while -2 + 8 = 6. All you have to do is add 7 more to the x-value and 8 more to the y-value to obtain the correct answer of (19,14).
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Find the coordinates of B when it is given that A(5,-2) and M(12,6),
For items 16-19, write a polynomial function of nth degree that has the given real or complex zeros?
For n = 3, x = 9, and x = 2i, we can say that one of the factors is (x - 9) as well as (x - 2i).
(x - 2i) is derived from x² = -4 which is equal to (x² + 4). Therefore, the two factors are (x - 9) and (x² + 4). To get the polynomial function, let's multiply the two factors using FOIL Method.
\(\begin{gathered} f(x)=(x-9(x^2+4_{}) \\ f(x)=(x)(x^2)+(x)(4)-(9)(x^2)-(9)(4) \\ f(x)=x^3+4x-9x^2-36 \\ \text{Arrange the terms} \\ f(x)=x^3-9x^2+4x-36 \end{gathered}\)The polynomial function of the first bullet is f(x) = x³ - 9x² + 4x - 36.
For n = 3, x = -1, and x = 4 + i, we can say that the factors are:
(x + 1) , (x - (4 + i)), and (x - (4 - i))
Note: Always remember those complex zeros like x = 4 + i come in conjugate pairs.
To solve the polynomial function, let's multiply the three factors.
\(\begin{gathered} f(x)=(x+1)(x-4-i)(x-4+i) \\ \text{Multiply first the two factors that has imaginary number i.} \\ f(x)=(x+1)(x^2-4x+ix-4x+16-4i-ix+4i-i^2) \\ \text{Arrange the terms} \\ f(x)=(x+1)(x^2-4x-4x+ix-ix-4i+4i+16+1) \\ \text{Combine like terms} \\ f(x)=(x+1)(x^2-8x+17) \\ \text{Multiply binomial to the trinomial} \\ f(x)=(x)(x^2)+(x)(-8x)+(x)(17)+x^2-8x+17 \\ f(x)=x^3-8x^2+17x+x^2-8x+17 \\ f(x)=x^3-7x^2+9x+17 \end{gathered}\)The polynomial function of the second bullet is f(x) = x³ - 7x² + 9x + 17.
Which of the following relations is a function?
A. (1,4),(-4, 6), (1, 3), (-7, 2)
B. (1.4).(-4,2), (5, 1), (-7,2)
C. (1,0).(-4,3), (5, 1), (-4,5)
D. (5,1),(-4,4), (1, 1), (5,2)
Answer: A. Not a function. B. Is a function. C. Not a function. D. Not a function.
Step-by-step explanation:
find m if -3,2 is a solution of y=Mx+8
Answer:
-11/2
Step-by-step explanation:
plug in the coordinate for the correct variables, plug in -3 for x and 2 for y
-3 = m2 + 8, next move the 8 to the left side of the equation which becomes -11 and then -11=m2 and then divide -11/2 and thats what m equals
Traveling from Atlanta, Georgia to Orlando, Florida is about 550 miles. Jen traveled 338 miles yesterday and the rest today. Which equation expresses how many miles she drove today?
Answer:
x + 338 = 550
Step-by-step explanation:
Find all polar coordinates of point P = (2,14°)
Answer:
\((2,14^{\circ}+360^{\circ}n)\text{ and }(-2,194^{\circ} +360^{\circ}n)\).
Step-by-step explanation:
If a point is \(P=(r,\theta)\), the all polar coordinates are defined as
In radian : \((r,\theta +2n\pi)\text{ and }(-r,\theta +(2n+1)\pi)\)
In degree : \((r,\theta +360^{\circ}n)\text{ and }(-r,\theta +(2n+1)180^{\circ})\)
where, n is any integer.
The given point is
\(P=(2,14^{\circ})\)
So, all polar coordinates are
\((2,14^{\circ}+360^{\circ}n)\text{ and }(-2,14^{\circ} +(2n+1)180^{\circ})\)
\((2,14^{\circ}+360^{\circ}n)\text{ and }(-2,14^{\circ} +360^{\circ}n+180^{\circ})\)
\((2,14^{\circ}+360^{\circ}n)\text{ and }(-2,194^{\circ} +360^{\circ}n)\)
Therefore, the required polar coordinates are \((2,14^{\circ}+360^{\circ}n)\text{ and }(-2,194^{\circ} +360^{\circ}n)\), where n is any integer.
calculate the number of waffles produced if you start with 15 eggs, assuming you have enough of all other ingredients? given: 4 cups flour 6 eggs 2 tbsp oil 8 waffles
The number of waffles can be made from 15 eggs are, 20 waffles.
the waffles can be calculates as follows
4 cups of fluor + 6 eggs +2 tbsp oil = 8 waffles
we need 6 eggs to make 8 waffles
So, the waffles can we make from 15 eggs = \(\frac{8}{6} X 15 = 20\) waffles
Hence, the number of waffles can be made from 15 eggs are 20 waffles.
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D Let R be the region bounded by the graph of y = 2x – 2, the horizontal line y = 2, and the vertical line x = 1. Which of the following gives the volume of the solid generated when region R is revolved about the vertical line x 1
A π∫_1^2▒〖((y+2)/2〗-1 ) ^2 dy
B π∫_0^2▒〖((y+2)/2〗-1 ) ^2 dy
C π∫_1^2▒〖(2-(2x-〗 2))^2 ^2 dy
D π∫_0^2▒〖((y+2)/2〗)^2-1^2 ) ^2 dy
The correct option is B: V = π ∫[0,2] ((y + 2)/2 - 1)^2 dy
This integral will give us the Volume of the solid generated when region R is revolved about the vertical line x = 1.
The volume of the solid generated when region R is revolved about the vertical line x = 1, we can use the method of cylindrical shells.
The formula for the volume of a solid generated by revolving a region R about a vertical line is given by:
V = 2π ∫[a,b] x * f(x) dx
In this case, since we are revolving the region R about the vertical line x = 1, the limits of integration will be from y = 2 (where the horizontal line y = 2 intersects the graph y = 2x - 2) to y = 0 (where the graph y = 2x - 2 intersects the x-axis).
Let's analyze the options provided:
A. π ∫[1,2] ((y + 2)/2 - 1)^2 dy
B. π ∫[0,2] ((y + 2)/2 - 1)^2 dy
C. π ∫[1,2] (2 - (2x - 2))^2 dy
D. π ∫[0,2] ((y + 2)/2)^2 - 1^2 dy
Option A: The limits of integration are incorrect. We need to integrate with respect to y, not x.
Option B: This appears to be the correct integral setup, integrating with respect to y and using the correct limits of integration.
Option C: This option incorrectly uses the expression (2 - (2x - 2))^2, which doesn't match the function y = 2x - 2.
Option D: The limits of integration are incorrect. We need to integrate from y = 2 to y = 0.
Therefore, the correct option is B:
V = π ∫[0,2] ((y + 2)/2 - 1)^2 dy
This integral will give us the volume of the solid generated when region R is revolved about the vertical line x = 1.
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Jamie needs to take her dog to the groomer. the groomer charges $25 if the dog is 15 pounds or less. they charge $35 if the dog is over 15 and no more than 40 pounds. if the dog is over 40 pounds, the charge is $50 plus 1.5 times the number of pounds over 40 that the dog is. which function represents the grooming fee, t(x), in terms of weight, x, and how much will jamie pay if her dog weighs 45 pounds?
Answer:45
Step-by-step explanation:
Jamie pay if her dog weighs 45 pounds
f(x) = 25$ , X ≤ 15
35$ , 15 < x ≤ 40
50$ , 50 + 1.5(x - 40)
What is relation and function?A relation between two sets is a group of ordered pairs that each contain one item from both sets. If the ordered pair (x,y) is present in the relation and object x is a member of the first set and object y is a member of the second set, then the objects are said to be connected.
An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics and the sciences, functions are fundamental for constructing physical relationships.
According to the given information :if at 25$ the dog is 15 pound or less.
25$ , X ≤ 15
if at 35$ the dog is over 15 and no more than 40 pounds.
35$ , 15 < x ≤ 40
the dog is over 40 pounds, the charge is $50 plus 1.5 times the number of pounds over 40 that the dog is.
50$ , 50 + 1.5(x - 40)
The accurate value cant be calculated.
So ,
f(x) = 25$ , X ≤ 15
35$ , 15 < x ≤ 40
50$ , 50 + 1.5(x - 40)
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Which speed is the fastest? A) 18 feet in 20 minutes B) 90 feet in 2 hours
Answer:
a
Step-by-step explanation:
20 min x 6 = 2 hour
18 feet x 6 = 108 feet
What is the equation of the line that passes through the point (7,-6) and has a slope of -2?
Answer:
y=-2+8
Step-by-step explanation:
The answer is y=-2+8 because of course the slope has to be -2 as you stated in your Question. So all you have to do is change the Y-Intercept until you reach the point. Since the Slope is negative, the Y-Intercept will rise until you reach your point. You may double check my answer to see if it is right, it is up to you. If you find any fault in my answer please let me know. Have a good day!
events x and y are independent of each other. if the probability of event x occurring is 1 in 4, and the probability of event y occurring is 1 in 5, the probability of both events occurring is ____.
The probability of both events occurring is 1/20.
What are examples and probability?
A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
The likelihood of an event occurring increases as its probability increases. The flip of a fair (impartial) coin serves as a straightforward illustration.
Events X and Y are independent.
The probability of X occurring is 1/4
The probability of Y occurring is 1/5
Since both events are independent, then we have
P(X and Y ) = P(X) * P(Y)
= 1/4 * 1/5
= 1/20
P( X and Y ) = 1/20
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If X is the number of "6"s that turn up when 72 ordinary dice are independently thrown, find the expected value of X^(2).
a. 12
b. 864
c. 4320
d. 154
Let Xi be the random variable that represents the number of "6"s that turn up when one die is thrown. Since there are six possible outcomes, each with probability 1/6, we have E(Xi) = 1/6.
Let X = X1 + X2 + ... + X72 be the total number of "6"s that turn up when 72 dice are thrown. Then, by the linearity of expectation, we have:
E(X) = E(X1 + X2 + ... + X72)
= E(X1) + E(X2) + ... + E(X72)
= 72 * (1/6)
= 12
Now, let Y = X^2 be the square of the total number of "6"s. We want to find E(Y) = E(X^2).
Using the identity Var(X) = E(X^2) - [E(X)]^2, we can find E(X^2) as follows:
Var(X) = Var(X1 + X2 + ... + X72)
= Var(X1) + Var(X2) + ... + Var(X72) (since the Xi's are independent)
= 72 * Var(X1)
= 72 * [(1/6) * (5/6)]
= 60
Since E(X) = 12, we have:
E(Y) = E(X^2) = Var(X) + [E(X)]^2
= 60 + 12^2
= 204
Therefore, the expected value of X^(2) is 204, which is closest to option (d) 154.
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What is the value of x in the equation ?
Answer: x=2
Step-by-step explanation:
15x-10=10 + 6+ 2x
15x-2x=20+6
13x=26
X=2
Answer:
x = 2
Step-by-step explanation:
2.5(6x - 4) = 10 + 4(1.5 + 0.5x)
Distribute the 2.5
15x - 10 = 10 + 4(1.5 + 0.5x)
Distribute the 4
15x - 10 = 10 + 6 + 2x
Combine like terms
15x - 10 = 16 + 2x
Add 10 to both sides
15x = 26 + 2x
Subtract 2x from both sides
13x = 26
Divide both sides by 13x
x = 2
in a computer lab there are 20 computers. four of the computers have a virus. what is the probability that someone that randomly selects a computer will choose one that does not have a virus? leave your answer as a number between 0 and 1. round to one decimal place.
The probability of someone randomly selecting a computer that does not have a virus is 0.8.
Total number of computers = 20
Virus affected = 4
Perfect computers = 20 - 4 = 16
The probability of choosing a computer that does not have a virus is equivalent to the number of computers without a virus and divided by the total number of computers in the lab.
The probability of selecting a computer without a virus is:
P(C) = 16/20
Simplifying this fraction, we get:
P(20 - 4 = 16) = 4/5
P(20 - 4 = 16) = 0.8
Therefore we can conclude that the probability of someone randomly selecting a computer that does not have a virus is 0.8.
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Daniel is baking a cake for Aaron's birthday. The recipe requires 2 1/2 cups of butter, 1/3 cups of brown sugar, and 1/2 cups of baking powder. What is the total amount of ingredients in cups if Daniel makes the cake twice as large as the recipe calls for?
Answer
4 6/12 or 2 3/4 cups of total ingredients
Step-by-step explanation:
There are 2 1/2 cups of butter, 1/3 cups of brown sugar, and 1/2 cups of baking powder.
You'd want to make the denominators the same numbers so it would be easier to divide.
So I multiplied 2 1/2 times 3, 1/3 times 2, and 1/2 times 3.
Then all the numbers would have a denominator of 6. Don't multiply the whole numbers or the numerators. Just the denominator.
''THE NUMBERS'' would change to 2 1/6, 1/6, and 1/6.
If I were to add that it would be 2 3/6.
BUT, You need to multiply by 2 after because it says in the question "How many ingredients in cups will Daniel make the cake twice as large".
What is 2 3/6 times 2 = 4 6/12 total.
If it says to simplify the answer. It would be "'2 3/4 total'' or both answers are correct
In the accompanying diagramed ABC , BC is extended to D, m
Answer:
it will be 50ْ
i hope my answer help u
Simplify the following expressions
a. 2/5- 1/6 b. 3/7-7/14 c. 5/8- 2/3
I need help with this it’s geometry this is my 2nd time asking for help
Answer:
The measure of angle WVX is 140°.
Step-by-step explanation:
Let x be the measure of angle WVX.
\( \frac{14}{9} \pi = 2x\)
\( x = \frac{7}{9} \pi( \frac{180}{\pi}) = 140 \: degrees\)
Answer:
angle = arc length/radius
in this case, the arc length is 14/9*\(\pi\) and the radius is 2. Upon multiplying these, you get 140.
so, the answer is 140 degrees.
write the linear function f with the given value
f(5)=-1,f(0)=-5
Answer:
\(y=\frac{4}{5} x-5.\)
Step-by-step explanation:
1) the common form of linear function in slope=interseption form is: y=s*x+i, where 's' and 'i' are slope and interception, unknown numbers;
2) if f(0)=-5, that means i=-5 and the equation is y=s*x-5, where s - unknown number;
3) f(5)=-1 and if to substitute x=5; y= -1 into y=x*s-5, then it is possible to calculate the value of 's': -1=5s-5; ⇒ s=4/5;
4) finally, the required linear function is:
\(y=\frac{4}{5} x-5\).
P.S. note, the suggested way is not the shortest one.
What will be the value stored in the variable x after the execution of the following code snippet?
int a = 10;
int b = 20;
int c = 2;
int x = b / a /*c*/;
a) 1
b) 2
c) 4
d) The code has a syntax error
The value stored in the variable x after the execution of the following code snippet will be b) 2.
The right-click context menu option or a combination of hotkeys can be used to add code snippets, which are compact chunks of reusable code, to a code file. Although try-finally and if-else blocks, for example, are frequently used code blocks found in code snippets, you can also use them to add whole classes or methods.
Learn more about using the templates tool to create reusable emails. Applications and web pages use snippets. Snippets are made to be reusable and to add functionality, like connecting various parts of a program.
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Jason wanted to save his earnings for the newest version of iPad. He already owed his mother
$3.00. If he earned $5.00 per week and saved it all, the equation model for this situation would
be f(x) = 5x - 3, where f(x) represents total amount saved, and x represents the number of
weeks Jason has worked and saved his earnings. Which of the following statements represents
the effects of the 5 and 3 on the graph of the linear parent function, F(x) = X?
Answer:
12 is the answer
Explanation:
Answer:2
Step-by-step explanation:
for a certain population. what percentage of democrats are aged between 35 and 55? if it is not possible to tell from the table, say so.
The table does not provide enough information to determine the percentage of Democrats aged between 35 and 55.
The table presents conditional distributions of political party affiliation for each age group but lacks the joint distribution. To calculate the percentage of Democrats aged between 35 and 55, we need the joint distribution of age and political party affiliation.
The table only provides conditional probabilities, which describe the probability of being a Democrat within each age group. Without knowing the overall distribution of age groups or the correlation between age and party affiliation, we cannot accurately determine the specific percentage of Democrats aged between 35 and 55 from the given information.
Therefore, it is not possible to calculate the desired percentage using the provided table alone.
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Complete Question:
Provide an appropriate response The table below shows the conditional distributions of the variable political party affliation corresponding to each age group for a certain population.What percentage of Democrats are aged between 35 and 55?If it is not possible to tell from the table,say so Age Group 18-34 35-55 Over55 Total Democrat 0.45 0.46 0.43 0.447 Party Republican 0.40 0.44 0.49 0.443 Other 015 0.10 0.08 011 [Total 10 10 10 10 OIt is not possible to tell from this table. 44.7% 34% 46%.
Plot 213, −56, and −312 on the number line.
Answer:
Step-by-step explanation:
Plot 213, −56, and −312 on the number line.
Which statements are true about the rules of division?
Answer:
where is the list at?
Step-by-step explanation:
Which of the following tools is used to capture data packets over time(continuously or overnight)?PuTTYTraffic AnalyzerWiresharkNetWitness Investigator
Wireshark is the tool used to capture data packets over time, either continuously or overnight.
Wireshark is a powerful network protocol analyzer that allows you to capture and examine data packets flowing through a network. It provides a comprehensive set of features for capturing, analyzing, and interpreting network traffic.
With Wireshark, you can capture packets from various network interfaces and save them to a capture file for later analysis. It supports capturing packets in real-time, allowing you to monitor network activity as it happens.
Wireshark offers detailed packet-level inspection, allowing you to examine packet headers, payloads, protocols, and other relevant information.
Furthermore, Wireshark supports numerous protocols and provides protocol-specific decoders to interpret and analyze different network protocols. It also offers advanced features like packet coloring, statistical analysis, packet comparison, and the ability to export captured data for further analysis or sharing with others.
Overall, Wireshark is widely used by network administrators, security professionals, and developers to diagnose network issues, troubleshoot problems, analyze network performance, and investigate security incidents by capturing and analyzing data packets over time.
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Section 1.5: Mortgages and Credit Cards 4. Vivian financed a new $1,250 television at 13.5% for 54 months. How much will she have to pay every month to pay this off?
The monthly payment, M, is computed as follows:
\(M=\frac{P(\frac{r}{12})(1+\frac{r}{12})^n}{(1+\frac{r}{12})^n-1}\)where
P is the amount borrowed
r is the annual interest rate, as a decimal
n is the number of months
Substituting with P = $1,250, r = 0.135 (= 13.5/100), and n = 54 months, we get:
\(\begin{gathered} M=\frac{1250(\frac{0.135}{12})(1+\frac{0.135}{12})^{54}}{(1+\frac{0.135}{12})^{54}-1} \\ M=31.01\text{ \$} \end{gathered}\)She will have to pay $31.01 every month.
a cylindrical can has a circumference of 40cm and a capacity of 4.8 litres. Find the capacity of a similar cylinder of circumference 50cm
Answer:
V2/V1 = c2/c1
V/4.8 = 50/40
V = 4.8 *5/4
V = 1.2*5 = 6 L
Step-by-step explanation:
which equation in slop intercept form represents a line the passes through the point (2,3) and is perpendicular to the line y-9=2/3(x+7)
Answer:
y = 1/2(x-3) - 2
Step-by-step explanation: first off lemickey? -3 is the jordan of 2 lebron. take the 1/2 (as in one kid divided by 2 peaches) and set it eqaal to frisky pets. I'm slurp.
Find the mass and center of mass of the lamina for each density. R: triangle with vertices (0, 0), (0, a), (a, a) (a)rho=k (b)rho=ky (c)rho=kx
The mass of lamina with density ρ = k is ka² and the center of mass is (a/2 , a/2)
The center of the mass can be described by determining the moment about x , y and z axis letter lemma cover a reason R of the plane with density function ρ(x , y) to find the center of mass we compute the following:
Mass , Moment about X axis, Moment about y axis and Centre of mass(x,y)
Given vertices of the triangle are (0, 0), (0, a), (a, a)
(a) ρ = k
Mass of the lamina :
\(mass = \int\limits^a_0 \int\limits^a_0{k} \, dy dx \\= \int\limits^a_0 [ky]^a_0 dx\\= \int\limits^a_0 ka dx\\= [kax]^a_0\\= ka^2\)
Moments ,
\(M_x= \int\limits^a_0 \int\limits^a_0{ky} \, dy dx \\= \int\limits^a_0 [ky^2/2]^a_0 dx\\= \int\limits^a_0 ka^2/2 dx\\= [kax^2/2]^a_0\\= ka^3/2\)
\(M_y= \int\limits^a_0 \int\limits^a_0{kx} \, dy dx \\= \int\limits^a_0 [kx^2/2]^a_0 dy\\= \int\limits^a_0 ka^2/2 dy\\= [kay^2/2]^a_0\\= ka^3/2\)
Center of mass :
\((\bar{x} , \bar{y}) = (\frac{M_y}{m} , \frac{M_x}{m})\\= > (\frac{\frac{ka^3}{2}}{ka^2} , \frac{\frac{ka^3}{2}}{ka^2} )\\= > (\bar{x} , \bar{y}) = (\frac{a}{2} , \frac{a}{2})\)
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What is the scale factor used and what is the x and y coordinate for the center of dilation?
The scale factor used in the dilation is -2
Determining the scale factor used.From the question, we have the following parameters that can be used in our computation:
Figure with vertices at L(1, 1)
Image with vertices at L'(-2, -2)
The scale factor is calculated as
Scale factor = L'/L
Substitute the known values in the above equation, so, we have the following representation
Scale factor = (-2, -2)'/(1, 1)
Evaluate
Scale factor = -2
Hence, the scale factor is -2
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