Answer:
b and c
Step-by-step explanation:
what is wrong with the following equation (x^2+x-6)/(x-2)=x+3
Answer: The equation simplifies to 0=0 (all real numbers are solutions)
Step-by-step explanation:
Solve the equation step-by-step:
(x2+x−6)/(x−2)=x+3
Multiply both sides by x-2.
x2+x−6=x2+x−6
Subtract x^2 from both sides
x2+x−6−x2=x2+x−6−x2
x−6=x−6
Subtract x from both sides
x−6−x=x−6−x
−6=−6
Add 6 to both sides
−6+6=−6+6
0=0
Check the answer.
0=0 (Works in the original equation)
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write an equation that would be perpendicular to the following equation- y= -1/5 x + 8
Answer:
y=5x+8
Step-by-step explanation:
If its perpendicular it will have opposite slope but the same y intercept
For this experiment you have been randomly assigned to a group consisting of you and one other person. You do not know now, nor will you ever know, who this other person is. For this experiment all you have to do is distribute your 10 points into two accounts. One account called KEEP and one account called GIVE. The GIVE account is a group account between you and your group member. For every point that you (or your group member) put in the GIVE account, I will add to it 50% more points and then redistribute these points evenly to you and your group member. The sum of the points you put in KEEP and GIVE must equal the total 10 points. Any points you put in the KEEP account are kept by you and are part of your score on this experiment. Your score on the experiment is the sum of the points from your KEEP account and any amount you get from the GIVE account. For example, suppose that two people are grouped together. Person A and Person B. If A designates 5 points in KEEP and 5 points in GIVE and person B designates 10 points to KEEP and 0 points to GIVE then each person’s experiment grade is calculated in this manner: Person A’s experiment grade = (A’s KEEP) + 1.5(Sum of the two GIVE accounts)/2 = 5 +(1.5)(0+5)/2= 5 + 3.75 = 8.75. Person A’s score then is 8.75 out of 10. Person B’s experiment grade = (B’s KEEP) + 1.5(Sum of the two GIVE accounts)/2 = 10 +(1.5)(0+5)/2 = 10 + 3.75. Person B’s score then is 13.75 out of 10. (you can think of any points over 10 as extra credit) In this module’s activity you were asked to make a decision about how to invest your resources (points). This activity is a classic strategic game where the good of the individual is at odds with the good for the group. These problems are pervasive in risk management. For example, a physician who is trained to treat diseases may be reluctant to discuss alternative treatments with a patient when the physician is sure that a specific treatment is the only truly viable treatment. Nonetheless, you have learned in this course that physicians (or an agent of the physician) must have this discussion and bow to the will of the patient even if, in the physician’s judgment, the patient chooses an alternative treatment which is likely to be superfluous. In this way, informed consent and patient education are nuisances to the physician but are very important to protect the group (maybe a hospital or surgical group) from liability. In light of recent events another example is warranted. Individuals may choose to not get vaccinated since they do not want to bear the risk of any possible adverse side-effects of a vaccine. This is perfectly reasonable to do so. The problem arises when large groups of people choose to not get vaccinated thus making the impact of the disease relatively larger than need be if everyone would choose to take a vaccine (remember our first cost-benefit experiment). This implies that individual’s rights to choose not to vaccinate are at odds with what is good for the group of individuals. These types of problems are common in risk management. Discussion: (If you post your answers to each of the four questions below before the deadline, you will get the full ten points for the discussion. The questions do not need to be answered mathematically or with a calculation. If you feel the need to use mathematics to make a calculation, then you are free to do so but the questions are merely asking you for a number and how you arrived at that number. If you do not do any calculations to arrive at the number, just say how you arrived at the number. (There are no incorrect answers.) 1. In this activity how did you arrive at your decision on the keep-give split? 2. What is the best outcome of this situation for you? 3. What is the best outcome of this situation for the group? 4. Can you see any parallels with this game and how risk management strategies work? Explain.
1. I based my decision on allocating points to maximize my own score, while also considering the potential benefits of contributing to the group fund.
2. The best outcome for me would be allocating the minimum points required to the GIVE account, while putting the majority in the KEEP account. This would ensure I receive the most points for myself.
3. The best outcome for the group would be if both participants maximized their contributions to the GIVE account. This would create the largest group fund, resulting in the most redistributed points and highest average score.
4. There are parallels with risk management strategies. Individuals may act in their own self-interest, but a larger group benefit could be achieved if more participants contributed to "group" risk management strategies like vaccination, safety protocols, insurance policies, etc. However, some individuals may free ride on others' contributions while benefiting from the overall results. Incentivizing group participation can help align individual and group interests.
write 375 as the product of prime factors
Answer:
3x5x5x5. Hope this helps with your question!
Step-by-step explanation:
The graph shows the speed of Sam’s car over time.
A graph titled Speed of Car. The horizontal axis shows time (hours) and the vertical axis shows speed (m p h). Both axes are unnumbered. A line appears in 4 sections, labeled A, B, C, D. Section A shows a rise in speed over time, sections B and D maintain a level speed over time, and section C shows a reduction in speed over time.
Which best describes what is happening in section C?
The car start decelerating in section c of the graph.
The graph is a demonstration of curves which gives the relationship between x and y axis.
Here, section A show the rise in speed of car over time. Meanwhile The curve is increasing curve.
B and D shows maintain level of speed means the curve is straight line and for every value of x there is only one y.
But at section C the speed of car reducing. Meanwhile, the car decelerating and the curve is of decreasing order over the time.
Thus, for section C, car is decelerating and the curve is of decreasing nature over time upto D.
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Answer:
the car is traveling at a constant speed (answer is D)
Step-by-step explanation:
im just smart like dat
cars of length 2 try to park on a length l road. each minute, a new car parks at a uniformly random spot on the road without crashing into another car or running off the road. when no more cars fit, what is the expected size of the largest gap between adjacent cars (as a function of l)? how about the smallest gap between adjacent cars?
The expected size of the largest gap between adjacent cars (as a function of l) is l/(n + 1), and the expected size of the smallest gap between adjacent cars is 2.
Let us consider that cars of length 2 try to park on a length l road. Each minute, a new car parks at a uniformly random spot on the road without crashing into another car or running off the road.
When no more cars fit, the expected size of the largest gap between adjacent cars is l/(n + 1) and the smallest gap is 2.
The expected size of the largest gap between adjacent cars (as a function of l) is l/(n + 1).
Let n be the number of cars parked on the road. Then the total length of the cars parked is 2n.
If the largest gap is a distance g, then the total length of the gaps is l − 2n. Then,gap length:
g (n + 1) ≤ l - 2ng ≤ l − (n + 1)g
Dividing through by (n + 1)g and rearranging:
g ≤ l/(n + 1) (largest gap)g ≥ 2 (smallest gap)
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please please please help if you could just answer one of them I would love you forever please
don't answer something random just for points I will report you
please just help me
Simplify 8x^3y^6/2xy^2
Answer:
4x^4y^8
Step-by-step explanation:
what feature(s) about a relationship can be observed from examining a scatterplot of two quantitative variables x and y?
By examining a scatterplot, you can gain valuable insights into the relationship between the two quantitative variables x and y, such as direction, strength, form, and outliers.
From examining a scatterplot of two quantitative variables x and y, you can observe the following features about the relationship between the variables:
1. Direction: You can determine whether the relationship between the variables is positive (both variables tend to increase or decrease together) or negative (one variable tends to increase while the other tends to decrease).
2. Strength: You can assess the strength of the relationship by observing how closely the data points are clustered around an imaginary line (e.g., a straight or curved line). A strong relationship has points closely clustered, while a weak relationship has points more scattered.
3. Form: You can identify the form of the relationship, such as linear (points form a straight line) or nonlinear (points form a curve).
4. Outliers: You can detect any outliers, which are data points that do not follow the general pattern of the relationship between the variables.
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Factor Each Polynomial 18h^4– 27h^2 + 18h
Answer:
\(9h(2h^{3} -3h+2)\)
Step-by-step explanation:
Factor 9h out of 18h^4 - 27h^2 + 18h.
Which of the following is not an attribute of a right pyramid?
Triangular faces
Triangular base
1 apex
8 edges
Answer:
Triangular base
Step-by-step explanation:
It possesses all attributes except from triangular base
Triangle XYZ with vertices X(-2, 12), Y(6, 4), and Z(-6,-4): scale factor = 3/4, centered at (-2, 8)
Given that the points on triangle XYZ are, (-2, 12), (6, 4), (-6, -4), and the scale factor and center of dilation are 3/4, and (-2, 8), the coordinates of triangle X'Y'Z' are;
X'(-2, 11), Y'(4, 5), Z'(-5, -1)How can the image of the triangle be found?The coordinates of the vertices of the triangle are;
X(-2, 12), Y(6, 4), Z(-6, -4)
The center of dilation = (-2, 8)
The scale factor of the dilation = 3/4
The coordinates of the required image following the dilation are;
(-2 + (3/4) × ((-2 - (-2)), 8 + (3/4) × (12 - 8))
The coordinates of X' = (-2, 11)
The coordinates of Y' are found as follows; (-2 + (3/4) × ((6 - (-2)), 8 + (3/4) × (4 - 8))
The coordinates of Y' = (4, 5)
The coordinates of Z' are found as follows; (-2 + (3/4) × ((-6 - (-2)), 8 + (3/4) × (-4 - 8))
The coordinates of Z' = (-5, -1)
The coordinates of the vertices of the triangle XYZ following a dilation by a scale factor of (3/4) are;
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PLEASE ANSWER WITHIN 15 MINUTES! DO 5 QUESTIONS ONLY (OUT OF 6)
Answer:
a)40°
b)25°
c)50°
d)82°
e)137°
Step-by-step explanation:
angles in triangles always add to 180°
if there is a square in the triangle this means the angle is 90°
a)180°-80°-60°=40°
b)180°-75°-80°=25°
c)180°-40°-90°=50°
d)180°-51°-47°=82°
e)180°-18°-25°=137°
Estimate the following sum by first rounding each decimal to the nearest hundred.
428.1 + 186.5 + 210.62
Making it 800
Sales rise from 4000 per week to 5400 per week. Calculate the percentage change
Step-by-step explanation:
Percentage Calculator: What is the percentage increase/decrease from 4000 to 5000? = 25.
HELPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEE
(1/4) + (1/2) =
Answer:
.75
Step-by-step explanation:
can I have help and pls don't answer if you don't know
Answer:
I think its A
Step-by-step explanation:
Find the product of 7 7/10 and 10/11 ?
Answer:
The answer I think would be 7. Hope this helped!!
The graph f(x) = has been translated 3 units to the right and 1 unit up. What is the vertex of the
new function?
O (-3,-1)
O (-3,1)
O (3, 1)
O (3.-1)
Answer:
The new vertex is (3,1)
Miguel went for a drive in his new car. He drove at a speed of 53 miles per hour for 84.8 miles
Time taken by Miguel car to drive is, 1.6 hour.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
We have to given that;
Miguel went for a drive in his new car. He drove at a speed of 53 miles per hour for 84.8 miles.
We know that;
⇒ Speed = Distance / Time
⇒ Time = Distance / Speed
Here, Speed = 53 miles per hour
Distance = 84.8 miles
Hence, We get;
⇒ Time = 84.8 / 53
⇒ Time = 1.6 hour
Thus, Time taken by Miguel car to drive is, 1.6 hour.
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Evaluate -1 -3- (-9) + (-5).
Answer:
The evaluated answer to the given expression is 0.
Step-by-step explanation:
-1 - 3 - (-9) + (-5)
Subtract -1 from 3.
-4 - (-9) + (-5)
Distribute the negative to -4.
-4 + 9 + (-5)
Add 9 to -4.
5 + (-5)
Add 5 to -5.
0
Order the numbers from least to greatest 3 7/9 , 3.65 , 3.6
Answer:
3.6, 3.65, 3 7/9
Step-by-step explanation:
you just have to make all of the numbers decimals or mixed fractions then it is very easy to order them.
On june 1, 2013, the number of hours of daylight in anchorage alaska was 18 1/4 hours what is the number of hours without daylight??
Answer:
On June 1, 2013, Anchorage, Alaska experiences 18 and 1/4 hours of daylight.
In a 24-hour day, there are 24 - 18 and 1/4 = 5 and 3/4 hours without daylight.
Therefore, the number of hours without daylight on June 1, 2013 in Anchorage, Alaska was 5 and 3/4 hours.
Answer:
24-18.4=5 and3/4
Step-by-step explanation:
Mary works as an English tutor. On Monday, she earned $21.60. Each day, her daily earnings increase by $1.50. How much will Mary earn on Thursday of the same week?
A.
$20.10
B.
$23.10
C.
$24.60
D.
$26.10
E.
$28.20
Answer:
26.10
I hope this helps
the video describes a helping behavior study conducted by john darley and bibb latané. in their study, the number of people present in the room with the participant served as which variable?
In the study conducted by John Darley and Bibb Latané, the number of people present in the room with the participant served as an independent variable, as it was manipulated by the researchers to observe its effects on helping behavior.
Specifically, the researchers examined how the presence of other people in the room would affect whether or not the participant would choose to help in a given situation. By changing the number of people present in the room, the researchers were able to measure the effects of diffusion of responsibility on helping behavior.
Diffusion of responsibility is a phenomenon in which individuals are less likely to help a victim when they are in the presence of other people, as they assume that someone else will take responsibility. Therefore, the number of people present in the room was an important variable in the study, as it allowed the researchers to measure how the presence of others affected helping behavior.
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Evaluate the line integral C F.dr where C is given by the vector function r(t).F(x,y,z)=sinxi+cosyj+xzk, r(t)=t^3i-t^2j+tk, 0<=t<=1
To evaluate the line integral ∫CF · dr, where C is given by the vector function r(t) = \(t^{3}\)i - \(t^{2}\)j + tk and F(x, y, z) = sin(x)i + cos(y)j + xzk, and 0 ≤ t ≤ 1, we need to substitute the components of r(t) and F(x, y, z) into the integral and evaluate it.
First, we compute dr as the derivative of r(t) with respect to t:
dr = \(\frac{d}{dt}\)(\(t^{3}\))i + \(\frac{d}{dt}\)(-\(t^{2}\))j + \(\frac{d}{dt}\)(t)k
= \(3t^{2}\) - 2tj + k
Next, we substitute r(t), F(x, y, z), and dr into the line integral:
∫CF · dr = ∫(sin(x)i + cos(y)j + xzk) · (3\(t^{2}\)i - 2tj + k) dt
= \(\int\limits^0_1 {(3t^{2}sin(x) + 2tcos(y) + tx) } \, dx\)
Now, we evaluate the integral over the given interval 0 ≤ t ≤ 1:
∫CF · dr = \(\int\limits^0_1 {(3t^{2}sin(x) + 2tcos(y) + tx) } \, dx\)
The result of this integral depends on the specific values of x and y, which are not provided.
Therefore, to obtain the numerical value of the line integral, specific values of x and y are needed.
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What is the image of (1, -6) for a 90° counterclockwise rotation about the origin?
(-6, -1)
(-1, -6)
(-1, 6)
(6, 1)
Answer:
D
Step-by-step explanation:
As the counter clockwise rule is A(x,y) becomes A'(-y,x).
So (1, -6) becomes (6, 1)
Hope it helps you
what are the x values of 2x^2+4x+10 =0
and 4x^2-5x-6=0
The x values of 2x²+4x+10 =0, in this case the square root of a negative number is not a real number, so this equation has no real solutions, and the x values of 4x²-5x-6=0 are x₁ = 1.5 and x₂ = -0.75.
To find the x values of each quadratic equation, we can use the quadratic formula;
For the equation 2x² + 4x + 10 = 0
a = 2, b = 4, c = 10
x = (-b ± √(b² - 4ac))/2a
x = (-4 ± √(4² - 4(2)(10) / 2(2)
x = (-4 ± √(-24)) / 4
The square root of a negative number is not a real number, so this equation has no real solutions.
For the equation 4x² - 5x - 6 = 0
a = 4, b = -5, c = -6
x = (-b ± √(b² - 4ac)/2a
x = (5 ± √(5² - 4(4)(-6) / 2(4)
x = (5 ± √(121)) / 8
x = (5 ± 11) / 8
x₁ = (5 + 11) / 8 = 1.5
x₂ = (5 - 11) / 8 = -0.75
Therefore, the solutions to 4x² - 5x - 6 = 0 are x₁ = 1.5 and x₂ = -0.75.
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individuals in a random sample of 150 were asked whether they supported capital punishment. the following information was obtained. do you support capital punishment? number of individuals yes 40 no 60 no opinion 50 we are interested in determining whether the opinions of the individuals (as to yes, no, and no opinion) are uniformly distributed. refer to exhibit 12-1. if the opinions are uniformly distributed, the expected frequency for each group would be . a. .50 b. 1/3 c. .333 d. 50
The expected frequency is 50 hence, the answer is (d) 50.
Expected frequency:
Expected frequency is the frequency we would expect to see in a particular category or group if the null hypothesis is true. The null hypothesis assumes a specific distribution or pattern in the data, and the expected frequency is calculated based on that assumption.
Here we have
Individuals in a random sample of 150 were asked whether they supported capital punishment.
If the opinions of the individuals are uniformly distributed, then the expected frequency for each group would be the same.
Since there are three groups (yes, no, and no opinion), the expected frequency for each group is:
Expected frequency = Total frequency / Number of groups
= 150/3 = 50
Therefore,
The expected frequency is 50 hence, the answer is (d) 50.
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what is x+y=2 in slope intercept form?
Considering the expression of a line, the slope intercept form is y= -x+2.
What is a linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.This is known as the slope-intercept form. This form is one of the most common forms used to represent the equation of a line and can be used to find the equation of a line when given the slope of the straight line and the y-intercept (the y-coordinate of the point where the line intersects the y-axis).
Slope intercept form in this caseIn this case, the line is x+y=2. Expressed in the form y = mx + b, you get:
y= 2 -x or y= -x +2
Finally, x+y=2 in slope intercept form is y= -x+2.
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