7x5 -7 x 2 =21
5x-2x =21
Combine like terms
3x=21
Divide both sides by 3
x=21/3
x=7
please help please help please
Answer:
5+2*2 is different i. e second box is different
Answer:
4+12/2
Step-by-step explanation:
its the only one with division
In the equation, 5x + 3y = 30, I want to find the intercepts. Which would
problem would I solve to get the 'y' intercept?
15x = 30
15y = 30
5x + 3(0) = 30
5(0) + 3y = 30
Answer:
the fourth one
Step-by-step explanation:
y-intercept is when x equals 0
Determine the equation of the line that passes through (-8,9) and (2,-6)
Express you answer as a fraction in lowest terms.
The equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3.Given two points (-8, 9) and (2, -6). We are supposed to find the equation of the line that passes through these two points.
We can find the equation of a line that passes through two given points, using the slope-intercept form of the equation of a line. The slope-intercept form of the equation of a line is given by, y = mx + b,Where m is the slope of the line and b is the y-intercept.To find the slope of the line passing through the given points, we can use the slope formula: m = (y2 - y1) / (x2 - x1).Here, x1 = -8, y1 = 9, x2 = 2 and y2 = -6.
Hence, we can substitute these values to find the slope.m = (-6 - 9) / (2 - (-8))m = (-6 - 9) / (2 + 8)m = -15 / 10m = -3 / 2Hence, the slope of the line passing through the points (-8, 9) and (2, -6) is -3 / 2.
Now, using the point-slope form of the equation of a line, we can find the equation of the line that passes through the point (-8, 9) and has a slope of -3 / 2.
The point-slope form of the equation of a line is given by,y - y1 = m(x - x1)Here, x1 = -8, y1 = 9 and m = -3 / 2.
Hence, we can substitute these values to find the equation of the line.y - 9 = (-3 / 2)(x - (-8))y - 9 = (-3 / 2)(x + 8)y - 9 = (-3 / 2)x - 12y = (-3 / 2)x - 12 + 9y = (-3 / 2)x - 3.
Therefore, the equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3. Thus, the answer is (-3/2)x - 3.
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Find two unit vectors orthogonal to both 9, 4, 1 and −1, 1, 0 smaller and larger i value. I got +/- 1/root171(-1,-1,13) but it keeps saying I'm wrong. Last try and would really need some help!
Thank you
You are correct, two unit vectors orthogonal to both 9, 4, 1 and -1, 1, 0 are (1/√17, -1/√17, 13/√17) and (-1/√17, 1/√17, -13/√17).
Hello! The two unit vectors orthogonal to both 9, 4, 1 and -1, 1, 0 are (1/√17, -1/√17, 13/√17) and (-1/√17, 1/√17, -13/√17). To find these vectors, we can use the cross product of two vectors, which will give us a third vector that is orthogonal to both vectors. We can find the cross product of the two vectors by multiplying their components together, and use the resulting vector as our new vector.
To find the unit vector, we can divide all of the components of the vector by its magnitude. The magnitude of the vector (1/√17, -1/√17, 13/√17) is 17, so the unit vector is (1/√17, -1/√17, 13/√17).
The other unit vector is the negative of this vector, which is (-1/√17, 1/√17, -13/√17).
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Can the sides of a triangle have lengths 2, 18, and 20?
Answer: No triangle lengths have to add all three length together to equal 180 like 60 60 60 or 90 80 10
Step-by-step explanation:
Line segment AB has endpoints at A(-4,4) and B(8,8).(a) Find and plot its image after a dilation with a center at the origin and a scale factor of 1/2. Give the coordinates of A' and B' below.(b) Using coordinate geometry show that segment A'B' is parallel to segment AB.(c) Using coordinate geometry, show that A'B'=1/2 AB
The image after the dilation is A' (-2,2) and (4,4)
Here, we have a pre-image with the endpoints A(-4,4) and B(8,8) and we want to find the image after dilation using the scale factor
To find its image after a dilation, we simply multiply the scale factor with each number on the coordinate
Thus, we have
A' as (-2,2) and B' as (4,4)
To plot the image, we can locate these coordinates and join them together and label them as A' and B'
b. suppose that predictive value of a positive test of greater than 0.5 is deemed acceptable. under this criterion, what subpopulations should receive the test.
The subpopulations that should receive the test are those with the highest incidence of the condition or disease being tested for, as well as those with a high probability of the condition.
This is because predictive value of a positive test is greater in these subpopulations.
Predictive tests are genetic tests that identify mutations associated with disease or other health conditions that have not yet emerged. They are available for a variety of diseases and conditions, including some types of cancer, heart disease, and dementia.
Predictive testing is used to help people understand their chances of developing a disease and make informed decisions about their health care.
For example, it may help them decide whether to undergo surgery or other preventive measures to reduce their risk.
Predictive testing may be performed for a variety of reasons, including personal curiosity, to inform reproductive decisions, to clarify diagnosis, and to guide treatment choices. Because the results of predictive tests can have significant implications for individuals and their families, the decision to undergo testing should be carefully considered and discussed with a healthcare provider.
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which ordered pair is a solution to the inequalities graphed here?
Answer:
A. (1, 4)
Step-by-step explanation:
The solution to the systems of inequalities has to be in the shaded region. Therefore, A is the correct answer.
Answer: Its the FIRST option .
Step-by-step explanation: Please mark as Brainliest. :)
Work out 3 /5 ÷ 6 /7 Give your answer as a fraction in its simplest form.
Binomial Probability
Timothy creates a game in which the player rolls 4 dice.
What is the probability in this game of having exactly
two dice land on six? (PDF)
Answer:
4!/(2!2!) = 6
There are 6 possible ways that 2 of the 4 dice will land on six.
6(1/6)(1/6)(5/6)(5/6) = 25/216 = .116
B is correct.
What is an equation of the line that passes through the point
(−3,−5) and is parallel to the line
2x+3y=15
Therefore, the equation of the line passing through (-3, -5) and parallel to the line 2x + 3y = 15, in slope-intercept form, is y = (-2/3)x - 7.
What is the Equation of Parallel Lines?To find the equation of a line parallel to the line 2x + 3y = 15 and passing through the point (-3, -5), we need to determine the slope of the given line and use it to construct the equation in slope-intercept form (y = mx + b).
The given line is in the form Ax + By = C, where A = 2, B = 3, and C = 15. To find the slope of this line, we can rearrange the equation to isolate y:
2x + 3y = 15
3y = -2x + 15
y = (-2/3)x + 5
The slope of the given line is -2/3.
Since the line we want to find is parallel to this line, it will have the same slope. Therefore, the slope of the line passing through (-3, -5) will also be -2/3.
Now, we can use the point-slope form of a linear equation to write the equation of the line:
y - y1 = m(x - x1)
Substituting the values of (-3, -5) and -2/3 for (x1, y1) and m, respectively:
y - (-5) = (-2/3)(x - (-3))
y + 5 = (-2/3)(x + 3)
To convert this equation into slope-intercept form, we can simplify and rearrange:
y + 5 = (-2/3)x - 2
y = (-2/3)x - 2 - 5
y = (-2/3)x - 7
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When a red and a white flower reproduce, the chance of their offspring being a red flower is 25%. if five pairs of red and white flowers have offspring
what is the chance that exactly 2 of the flowers are red?
what is the chance that no more than 2 red flowers exist in the offspring?
Answer:
P(2 red in 5 offspring) = 26.4%
P(no more than 2 red flowers) = 65.9%
Step-by-step explanation:
P(red) = 25%
P(white) = 75%
P(2 red in 5 offspring) = 5C2 P(red)*P(red)*P(white)*P(white)*P(white)
= 10 * 0.25 * 0.25 * 0.75 * 0.75 * 0.75 = 26.4%
P(no more than 2 red flowers) = P(1 red in 5 offspring) + P(2 red in 5 offspring)
= 5C1 P(red)*P(white)^4 + 0.2637
= 5 * 0.25 * 0.75* 0.75 * 0.75 * 0.75 + 0.2637
= 0.6592 = 65.9%
If the perimeters of each shape are equal, which equation can be used to find the value of x? A triangle with base x + 2, height x, and side length x + 4. A triangle with length of x + 3 and width of one-half x. (x + 4) + x + (x + 2) = one-half x + (x + 3) (x + 2) + x + (x + 4) = 2 (one-half x) + 2 (x + 3) 2 (x) + 2 (x + 2) = 2 (one-half x) + 2 (x + 3) x + (x + 2) + (x + 4) = 2 (x + 3 and one-half)
Correct question :
If the perimeters of each shape are equal, which equation can be used to find the value of x? A triangle with base x + 2, height x, and side length x + 4. A rectangle with length of x + 3 and width of one-half x. (x + 4) + x + (x + 2) = one-half x + (x + 3) (x + 2) + x + (x + 4) = 2 (one-half x) + 2 (x + 3) 2 (x) + 2 (x + 2) = 2 (one-half x) + 2 (x + 3) x + (x + 2) + (x + 4) = 2 (x + 3 and one-half)
Answer: (x + 2) + x + (x + 4) = 2 (one-half x) + 2 (x + 3)
Step-by-step explanation:
Given the following :
A triangle with base x + 2, height x, and side length x + 4 - - - -
b = x + 2 ; a = x ; c = x + 4
Perimeter (P) of a triangle :
P = a + b + c
P =( x + 2) + x + (x + 4) - - - (1)
A rectangle with length of x + 3 and width of one-half x
l = x + 3 ; w = 1/2 x
Perimeter of a rectangle (P) = 2(l+w)
P = 2(x+3) + 2(1/2x)
If perimeter of each same are the same ; then;
(1) = (2)
(x + 2) + x + (x + 4) = 2(x+3) + 2(1/2x)
Answer:
B
Step-by-step explanation:
The vehicle preference of police officers and firefighters is given in the table. Based on the information in the table, which or the following is an example of independent events
Answer:
Step-by-step explanation:
I had this exact question and I figured it out.
the answer is: P(police officer and chooses car)
In order to get this answer I did the P(police officer) X P(choosing car)
It ended up being 36/45 X 15/45. Which is equal to around .2666667.
Now you take the Intersection of police officer and chooses car and you divide it by 45. That value on the chart is 12.
lucky enough, the product of 36/45 and 15/45 is equal to 12/45.
So 0.8 X 0.33 = .26
.26 = .26
Answer:
answer is P(police officer and chooses car)
Step-by-step explanation:
the probability of P(policer officer) and P(choose a car) are independent probabilities ( they are not overlapping probabilities)
how do you find averge speed?
Answer:
calculated by dividing distance by time (e.g. miles/hour).
Step-by-step explanation:
hope it helps
mark as brainliest pls
You divide distance by time. (miles/hour)
The orbit of Halley’s comet, last seen in 1986 and due to return in 2061, is an ellipse with eccentricity 0.97 and one focus at the sun. The length of its major axis is 36.18 AU. [An astronomical unit (AU) is the mean distance between the earth and the sun, about 93 million miles.] Find a polar equation for the orbit of Halley’s comet. What is the maximum distance from the comet to the sun?
The polar equation for the orbit of Halley's comet is r = (18.09 AU)/(1 + 0.97*cos(theta)), where r represents the distance from the sun to the comet, and theta represents the angle between the major axis of the ellipse and the line connecting the sun and the comet.
The maximum distance from the comet to the sun occurs when theta is equal to 0 or 180 degrees, resulting in r = 36.18 AU.
Determine the polar equation?To derive the polar equation, we start with the general equation for an ellipse in polar coordinates: r = (a*(1 - e²))/(1 + e*cos(theta)), where a is the semi-major axis and e is the eccentricity.
Given that the major axis of Halley's comet is 36.18 AU and the eccentricity is 0.97, we can substitute these values into the equation to obtain r = (18.09 AU)/(1 + 0.97*cos(theta)).
This equation represents the polar equation for Halley's comet.
The maximum distance from the comet to the sun occurs when the cosine term is equal to -1, resulting in r = 36.18 AU.
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Which of the following represents the set “all values of x greater then 1 and less then 15” in the builder notation
Please help me with this
Answer:
x = 23
Step-by-step explanation:
if line j is parallel to line k then
5x + 9 + 33 + x = 180 add like terms
6x + 42 = 180 subtract 42 from both sides
6x = 138 divide both sides by 6
x = 23
consistently evidence has shown a relationship over time repeated cannabis use and an experience of a psychotic episode. a prospective cohort study followed marijuana users and non-marijuana users to determine their first experience of a psychotic episode. the table below represents the data collected from the 2-year cohort study. is the or in this study a good approximation of the rr?
According to the cohort study, it is a good approximation of the RR in a particular study depends on various factors, including the incidence of the outcome, the size of the exposed and unexposed groups, and the study design. (option d).
The study you mentioned is a prospective cohort study that followed marijuana users and non-users to determine their first experience of a psychotic episode. The table below shows the data collected from the 2-year cohort study.
The OR for developing a psychotic episode in marijuana users compared to non-users can be calculated as follows:
OR = (20/480) / (5/500) = 8.33
This means that marijuana users are 8.33 times more likely to experience a psychotic episode than non-users. However, the OR is not the same as the RR, which measures the distance between the incidence of an outcome in the exposed group compared to the unexposed group.
In this study, the RR can be calculated as:
RR = (20/500) / (5/500) = 4
This means that marijuana users are four times more likely to experience a psychotic episode than non-users. As you can see, the OR and RR are different measures of the distance between the incidence of an outcome in the exposed and unexposed groups. However, in some situations, the OR can be a good approximation of the RR, especially when the incidence of the outcome is low.
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Complete Question:
Consistently evidence has shown a relationship over time repeated cannabis use and an experience of a psychotic episode. A prospective cohort study followed marijuana users and non-marijuana users to determine their first experience of a psychotic episode. The table below represents the data collected from the 2-year cohort study.
Psychotic Episode Marijuana Users Non-Marijuana Users
Yes 20 5
No 480 500
Is the OR in this study a good approximation of the RR?
a) No
b) Yes
c) Cannot Be Determined
d) OR can not be used in a a Cohort Study
The measure of an angle is 78.3°. What is the measure of its complementary angle?
The complementary angle of the angle is 11.7 degrees
What are angles?Angles are formed when two or more lines intersect. This in other words means that angles is the measure of space between the intersection of rays or lines
How to determine the complementary angle?The measure of the angle is given as
Angle = 78.3 degrees
Complementary angles add up to 90 degrees
So, we have the other angle to be
Other angle = 90 - 78.3
Evaluate the difference
Other angle = 11.7
Hence, the other angle is 11.7
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when rolling two dice, what is the probability of rolling a sum of 7 or more? group of answer choices 7/12 5/9 5/36 1/6
The probability of rolling a sum of 7 or more is 7/12.Therefore, the correct answer is 7/12.
When rolling two dice, the probability of rolling a sum of 7 or more can be calculated by determining the favorable outcomes and dividing by the total possible outcomes.
There are 36 possible outcomes when rolling two dice (6 sides on each die, so 6 x 6 = 36). The combinations that result in a sum of 7 or more are: (1,6), (2,5), (2,6), (3,4), (3,5), (3,6), (4,3), (4,4), (4,5), (4,6), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6) There are 21 favorable outcomes.
So the probability is 21/36, which simplifies to 7/12.
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Michael is trying to determine where to open two new store locations. He has population data to determine the amount of revenue he will receive for each location. He is charged a \( \$ 1000 \) fee for
Michael needs to analyze the population data, demographics of the city, and the competition in the area to determine whether or not to open a new store.
Michael is trying to determine where to open two new store locations. He has population data to determine the amount of revenue he will receive for each location.
He is charged a $1000 fee for opening a new store at a certain location. However, he is unsure whether the population of the city would be large enough to warrant opening a new store at that location.
The first step that Michael needs to take is to analyze the population data that he has.
Based on the population data, he needs to make an informed decision about whether or not to open a new store at that location. This would require him to take into consideration the average income of the population as well as the demographics of the city.
Another important factor that Michael needs to take into consideration is the competition in the area. If there are already several stores in the area, then opening a new store might not be a good idea.
This is because the competition would be too high and he would not be able to generate enough revenue to make up for the cost of opening a new store.
However, if there are no stores in the area, then Michael might consider opening a new store. This would require him to invest a significant amount of money, but he could also generate a significant amount of revenue in return.
Additionally, he needs to take into consideration the cost of opening a new store and whether or not he can generate enough revenue to make up for that cost.
Overall, Michael needs to carefully analyze all the data that he has before making an informed decision about where to open new store locations.
In conclusion, Michael needs to analyze the population data, demographics of the city, and the competition in the area to determine whether or not to open a new store. If the population is large enough and there is no competition in the area, then he should consider opening a new store. However, if there is already a significant amount of competition in the area, then he should avoid opening a new store.
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What is the correct value of x
Answer:
45°Step-by-step explanation:
The triangle is right isosceles.
It is right as the side is the diameter of the circle.
It is isosceles as two sides marked as equal.
Acute angles are same and equal to:
90°/2 = 45°Correct option is 45°
Answer:
<M=90°[inscribed angle on diameter is 90°]
<N=<L=[base angle of isosceles triangle]
now
<M+<l+<N=180°[sum of interior angle of traingle]
[2x-5]×2=180-90
4x-10=90
x=100/4=25
x=25
Gaaaaaaaaaaaaaa me need help
Answer:
a = 1 7/8
Step-by-step explanation:
The answer is 1 7/8 because...
1 7/8 x 4/5 = 1 1/2
Answer:
7/10ths
EXPLANATION :
Because I'm smart
9. To rent a car from Car Rent-A Center Evan must pay $25 plus an additional $2 per mile that he
drives. If Evan has a total of $325 to spend on renting a car, how many miles can he afford to drive it?
Equation:
Answer:
25 + 2x= 325 x=150
Step-by-step explanation:
-25 -25
2x 300
/2 /2
×= 150
8 is 40
show work divied
Answer: 5
0 Remainder
Step-by-step explanation:
Step 1:
Start by setting it up with the divisor 8 on the left side and the dividend 40 on the right side like this:
8 ⟌ 4 0
Step 2:
The divisor (8) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top:
0
8 ⟌ 4 0
Step 3:
Multiply the divisor by the result in the previous step (8 x 0 = 0) and write that answer below the dividend.
0
8 ⟌ 4 0
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below.
0
8 ⟌ 4 0
- 0
4
Step 5:
Move down the 2nd digit of the dividend (0) like this:
0
8 ⟌ 4 0
- 0
4 0
Step 6:
The divisor (8) goes into the bottom number (40), 5 time(s). Therefore, put 5 on top:
0 5
8 ⟌ 4 0
- 0
4 0
Step 7:
Multiply the divisor by the result in the previous step (8 x 5 = 40) and write that answer at the bottom:
0 5
8 ⟌ 4 0
- 0
4 0
4 0
Step 8:
Subtract the result in the previous step from the number written above it. (40 - 40 = 0) and write the answer at the bottom.
0 5
8 ⟌ 4 0
- 0
4 0
- 4 0
0
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 40 divided by 8 calculated using Long Division is:
5
0 Remainder
HELP DUE IN 40 MINUTES !! PICTURE IS PROVIDED WITCH 2 HAVE NOO SOLUTION
Answer:
It's the one in the bottom
Step-by-step explanation: 8 x + 14 has no solution in their section because 4 -7 is 3 meaning that it's correct yw
Answer:
b and d
Step-by-step explanation:
if you solve them be is 3=2 and d is 1= -8 so they have no solution.
hope this helps
Two points located on JK are A-1,-9) and K(5,3). What is the slope of JK ?
OA -2
OB. -1/2
OC. 1/2
O D. 2
Answer:
D .2
Step-by-step explanation:
3-(-9)
5-(-1)
=3+9
5+1
12
6
= 2
What is the scale factor of the dilation?
The scale factor of the dilation in this problem is given as follows:
4.
How to obtain the scale factor of the dilation?A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.
Two equivalent segments in this problem are given as follows:
FG and F'G'.
The lengths are given as follows:
FG = G - F = -2 - (-4) = -2 + 4 = 2.F'G' = G' - F' = 3 - (-5) = 8.As parallelogram F'G' is the dilated parallelogram, the scale factor of the dilation is given as follows:
k = 8/2.
k = 4.
Meaning that the third option is the correct option.
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True/False: Circle or highlight T or F for the following statements. a. T/F Quantitative variables may take on values that are labels or names. b. T/F If we flip a coin ten times, the number of tails that occur is a discrete variable. c. T/F The median is a good indicator of the most typical value if a sample set has outliers. d. T/F The variability of a data sample can be described by its spread. e. T/F An Ogive shows cumulative frequency and always overlays a Pareto Chart.
a) It is false that Quantitative variables may take on values that are labels or names; b) It is true that If we flip a coin ten times, the number of tails that occur is a discrete variable c) It is false that median is a good indicator of the most typical value if a sample set has outliers; d) True ; e) False
a. False. Quantitative variables cannot take on values that are labels or names. Quantitative variables are the variables that can be measured numerically, and it can be a discrete or continuous variable.
b. True. The number of tails that occur from flipping a coin ten times is a discrete variable because it can only take on specific values (0, 1, 2, 3, 4, 5, 6, 7, 8, 9, or 10).
c. False. The median is not a good indicator of the most typical value if a sample set has outliers because outliers can skew the distribution and cause the median to be an atypical value. In this case, the mode is a better measure of the central tendency of the data.
d. True. Variability of data sample can be described by its spread and the spread of a data sample can be measured by range, interquartile range, variance, or standard deviation.
e. False. An Ogive shows cumulative frequency and does not always overlay a Pareto Chart. A Pareto Chart shows the relative frequency or count of values in descending order, and the Ogive is a curve that represents the cumulative frequency of a data set plotted against the upper class limit.
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