A line goes through the origin and the point 6,14. the point 2,y is also on the line. calculate the missing y value ?
Answers
The line in question goes through the origin (0, 0) and through the point (6, 14)
so we can calculate the slope of that line, using the equation for the slope of the segment that joinst twopoints (x1, y1) (x2 , y2):
slope = (y2-y1)/(x2-x1)
in our case:
slope = (14 - 0) / (6 - 0) = 14 / 6 = 7 / 3
SO we konw the expression of our line as:
y = 7/3 x + 0 = (7/3) x
Now, we need to find the missing value for a point on the line which has x-coordinate 2 (2, .?)
SO we evaluate the line expression to find "y" when x = 2:
y = (7/3) x
y= (7/3) 2 = 14/3
Then the value for the y coordinate must be 14/3.
Related Questions
Joanna has $25 to spend at the zoo. Admission costs $12.25, and she plans to buy
Answers
Using mathematical operations, Joanna needs an additional $2.25 to meet her requirements for the zoo visit.
How is the difference determined?
The additional amount that Joanna requires is calculated with mathematical operations of addition and subtraction.
First, when you add $12.25 to $15.00, the sum is $27.25. This sum is subtracted from $25 or vice versa to get a difference of $2.25, which is the additional amount required to pay for her expenses at the zoo.
Another way to work out the difference is to first subtract the entrance fee of $12.25 from Joanna's amount. The difference becomes the minuend from which the amount of the snacks (the subtrahend) is deducted to obtain the difference as -$2.25.
Thus, with mathematical operations, Joanna's required additional amount is $2.25.
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Complete Question:Joanna has $25 to spend at the zoo. Admission costs $12.25, and she plans to buy snacks worth $15.00. How much more does she require to meet her needs at the zoo?
there one on the bottom That says "D. 5 bags" if you can't see it
Answers
We have to find the area of the triangle
\(A=\frac{bh}{2}\)Where b = 20 and h = 6.
\(A=\frac{20\cdot6}{2}=60m^2\)If one bag covers 20 square meters, then Betsy needs 3 bags to cover it all.
Hence, the answer is B.Graph h(x)=−x2+3.
Use the parabola tool then choose the vertex followed by one point on the parabola.
Answers
Answer: I do not have the capability to create a graph. However, I can tell you how to graph the parabola h(x) = -x^2 + 3.
A parabola is defined by its equation in the form y = ax^2 + bx + c, where a, b, and c are constants. In this case, a = -1, b = 0, and c = 3.
The vertex of the parabola is the highest or lowest point on the graph and is given by the coordinates (-b/2a, c - b^2/4a). For this parabola, the vertex is (0, 3), since b = 0 and a = -1.
To find another point on the parabola, you can plug in any x-value and use the equation of the parabola to find the corresponding y-value. For example, if you plug in x = -2, you get:
h(-2) = -(-2)^2 + 3
h(-2) = 4 + 3
h(-2) = 7
So the point (-2, 7) is also on the parabola.
With the vertex and one other point on the parabola, you can now graph the parabola.
Step-by-step explanation:
He traveled north for 3 blocks, then turned 90° to the right and rode for 2 blocks.
Jeffrey started riding his bike at the
In which direction was he headed?
Answers
Answer:
132
Step-by-step explanation:
the formula s= I dont know how to type that but I really need helppppp
Answers
Answer:
\( s = \sqrt{30} - 2\sqrt{5} m \)
Step-by-step explanation:
Given:
Formula for side length of cube, \( s = \sqrt{\frac{SA}{6} \)
Where, S.A = surface area of a cube, and s = side length.
Required:
Difference in side length between a cube with S.A of 180 m² and a cube with S.A of 120 m²
Solution:
Difference = (side length of cube with 180 m² S.A) - (side length of cube with 120 m² S.A)
\(s = (\sqrt{\frac{180}{6}}) - (\sqrt{\frac{120}{6}})\)
\( s = (\sqrt{30}) - (\sqrt{20}) \)
\( s = \sqrt{30} - \sqrt{4*5} \)
\( s = \sqrt{30} - 2\sqrt{5} m \)
Which expression can be used to find 1/2 of 12
Answers
12/2
Explanation: either one is right. It just depends on your options.
Expression can be used to find 1/2 of 12 is 1/2*12
How to find how much percent 'a' is of 'b'?Suppose a number is 'a'
Suppose another number is 'b'
We want to know how much percent of 'b' is 'a'.
Then, it is calculated as:
\(\dfrac{a}{b} \times 100\)(in percentage)
Given;
P= 1/2 => 5/10 => 50/100
b= 12
substituting in the formula;
a/12 = 50/100
putting the value of 50/100 from given
a/12= 1/2
a= 1/2*12
Therefore, the correct answer will be 1/2*12
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Use sneario 1 to answer sneario 2: (1) draw the layout, (2) write down the statistical model, (3) write two columns of NOVA table (source of variation and degree of freedom), (4) state the number of experimental units and observational units
Scenario #1: A researcher is interested in an experiment in which the fuel consumption of buses is to be examined. The treatment factor to be considered is the effect of tire pressure on fuel consumption. Four different tire pressures (levels) are to be tested, A, B, C, D. He designs the experiment by putting 1 gallon of gas in each bus and measure the number of miles per gallon. He has 16 gallons and 16 buses.
Scenario #2: In addition to eliminating the variations between busses and between days, the researcher wants to control a third blocking factor which is drivers. The sources available are four buses, four days, and four drivers and 16gallons of gas.
Answers
Scenario #2 answered using scenario #1 is :
1. Blocking on the factor of drivers is involved for the layout for this experiment.
2. The statistical model for this experiment is: Yijk = µ + Ti + Bj + Dk + εijk
3. Two columns of the ANOVA table for this experiment is attached as figure.
4. The number of experimental units and the number of observational units is 16.
1. The layout for this experiment involves blocking on the factor of drivers. The four buses will be randomly assigned to the four drivers, and each driver will drive each of the four tire pressures on a different day. Each day, 4 gallons of gas will be used to fuel the four buses.
2. The statistical model for this experiment is:
Yijk = µ + Ti + Bj + Dk + εijk
where Yijk is the observed fuel consumption for the ith tire pressure, jth day, and kth driver, µ is the overall mean fuel consumption, Ti is the effect of the ith tire pressure (i = A, B, C, D), Bj is the effect of the jth day (j = 1, 2, 3, 4), Dk is the effect of the kth driver (k = 1, 2, 3, 4), and εijk is the random error term.
3. Two columns of the ANOVA table for this experiment are:
Source of Variation Degrees of Freedom
Tire Pressure (T) 3
Day (D) 3
Driver (B) 3
Error 36
4. The number of experimental units is 16 (4 tire pressures x 4 days), and the number of observational units is also 16, since there is one observation (fuel consumption) for each combination of tire pressure, day, and driver.
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As indicated below, write the equations of the line passing through the point (2, 2) and perpendicular to the line whose equation is y = x. Complete your work in the space provided. Part 1: Point-Slope form of the linear equation Part 2: Slope-intercept form of the linear equation Part 3: The general form of the linear equation
Answers
Answer:
Step-by-step explanation:
y = x
Slope of line = 1
Slope of perpendicular to line = -1
Point-slope equation for line of slope -1 through (2,2):
y-2 = -(x-2)
Slope-intercept equation:
y = -x + 4
Standard form:
x+y = 4
The bus left the school and arrived at the museum at
9:10:40 a.m. The bus traveled for 55 minutes 10 seconds.
At what time did the bus leave the school?
Answers
Answer:
8:15:30
Step-by-step explanation:
8:15:30 a.m hope I helped ;)
Jk.
Hdudususjdjdjdkdksksjjsjxjxjcjcjviivovovoovov
Answers
Lol what
Solve for x and y: (x + yi) -(2-1) = 12 +7i
Answers
Answer:
These are the answers.
Step-by-step explanation:
The points E, F, G and H all lie on the same line segment, in that order, such that the
ratio of EF FG: GH is equal to 1: 5:3. If EH
:
= 54, find EG.
Answers
The ratio of EG = 36.
Let's assign variables to the lengths of the line segments:
EF = x
FG = 5x
GH = 3x
We know that EH = EF + FG + GH.
Substituting the given values, we have:
54 = x + 5x + 3x
Combining like terms, we get:
54 = 9x
To isolate x, we divide both sides of the equation by 9:
54/9 = x
Simplifying, we find:
6 = x
EF = 6, FG = 5(6) = 30, and GH = 3(6) = 18.
Since EG is the sum of EF and FG, we can calculate it as follows:
EG = EF + FG = 6 + 30
= 36
EG = 36.
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is this graph proportional
Answers
Look a tu the picture
Answers
The area of the composite figure in this problem is given as follows:
A = 87 ft².
How to obtain the area of the composite figure?When we want to obtain the area of a composite figure, we must add the areas of all the components of the figure.
The figure in this problem is composed as follows:
Rectangle of dimensions 10 ft and 6 ft.Rectangle of dimensions 10 - 4 = 6 ft and 9 - 6 = 3 ft.Right triangle of legs 10 - 4 = 6 ft and 6 - 3 = 3 ft.The areas are calculated as follows:
Rectangle: multiplication of dimensions.Right triangle: half the multiplication of the legs.Hence the area of the composite figure is given as follows:
A = 10 x 6 + 6 x 3 + 0.5 x 6 x 3
A = 87 ft².
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A hose can fill a swimming pool in 12 hours. Another hose needs 6 more hours to fill the pool than the two hoses combined. How long would it take the second hose to fill the pool?
Answers
Answer:
I believe it is 12, but I'm not sure.
Step-by-step explanation:
If there is 2 of the first hose, then it can fill the pool twice as fast, so thats 6 hours. (12 divided by 2 = 6).
If the second hose takes 6 hours more than that, then that would be 12 hours.(6+6=12)
what is the slope of the line shown (-4,3) (3,1)
Answers
Answer:
-2/7
Step-by-step explanation:
Philip has been experimenting with new recipes at his bakery for the past 8 months. This month, he tried a recipe for lavender vanilla muffins and gave samples to his customers. He asked them to rate the muffins on a scale of 1 to 10 stars. The median rating was 7 stars, and the interquartile range was 4 stars. ) What can you conclude from these data and statistics? Select all that apply. () No customer gave the muffins fewer than 8 stars. A typical rating for the muffins was 7 stars. The middle 50% of customer ratings had a range of 4 stars. Submit
Answers
- A typical rating for the muffins was 7 stars, since the median rating was 7 stars.
- The middle 50% of customer ratings had a range of 4 stars, since the interquartile range was 4 stars.
- We cannot conclude that no customer gave the muffins fewer than 8 stars, as the median is not necessarily equal to the mean, and it is possible that some customers rated the muffins below 8 stars. Therefore, this statement is not necessarily true.
Hugo averages 41 words per minute on a typing test with a standard deviation of 7.5 words per minute. Suppose Hugo's words per minute on a typing test are normally distributed. Let X= the number of words per minute on a typing test. Then, X∼N(41,7.5).
Suppose Hugo types 45 words per minute in a typing test on Wednesday. The z-score when x=45 is ________. This z-score tells you that x=45 is ________ standard deviations to the ________ (right/left) of the mean, ________.
Correctly fill in the blanks in the statement above.
Answers
At x = 30, the result is -1.57. According to this z score, x = 30 is 1.57 standard deviations away from the mean. 41 At x = 30, the result is -1.57. According to this z score, x = 30 is 1.57 standard deviations away from the mean.
What is the z score and standard deviation?
In essence, standard deviation represents the degree of variability present in a given data collection. To compute the standard deviation, first, get the distance between each data point and the mean. After that, the discrepancies are squared, added up, and averaged. The variance is caused by this. The variance's square root yields the standard deviation.The Z-score, in contrast, indicates how far a given data point deviates from the mean. The Z-score is adverse for data points that are below the mean. 99% of the values in most sizable data sets have a Z-score between -3 and 3, which denotes that they are within three standard deviations of the mean either above or below.Given, the Normal distribution with,
mu = 41
sigma = 7
The z-score formula is
z score = (X - mu) / sigma
So , z score at X = 30 is
z score = (X - mu) / sigma = (30 - 41) / 7 = -1.57
At x = 30, the result is -1.57. According to this z score, x = 30 is 1.57 standard deviations away from the mean. 41 At x = 30, the result is -1.57. According to this z score, x = 30 is 1.57 standard deviations away from the mean.
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Please solve this
∫ (log(1 + x ^ 2))/((x + 1) ^ 2) dx
Answers
The final result of the integral is:
∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,
where Li(x) is the logarithmic integral function and C is the constant of integration.
We have,
To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.
Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:
∫ (log(1 + (u-1)²) / u²) du.
Expanding the numerator, we have:
∫ (log(1 + u² - 2u + 1) / u²) du
= ∫ (log(u² - 2u + 2) / u²) du.
Now, let's split the logarithm using the properties of logarithms:
∫ (log(u² - 2u + 2) - log(u²)) / u² du
= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.
We can simplify the second integral:
∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.
Using the power rule for integration, we can integrate both terms:
∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.
Now, let's focus on the second integral:
∫ (log(u) / u³) du.
This integral does not have a simple closed-form solution in terms of elementary functions.
It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).
Therefore,
The final result of the integral is:
∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,
where Li(x) is the logarithmic integral function and C is the constant of integration.
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Are the figures congruent? Including more questions
Answers
Answer: Hello!
Step-by-step explanation: After measuring the two triangles I can conclude they are congruent!
Finn, tenth grader straight A student.
Have a great day.
What is the place value of the digit 4 in the number 93493
Answers
Answer:
It is in the hundreds place
Step-by-step explanation:
If you could give brainliest it would be much appreciated.
Answer:
Step-by-step explanation:
Hundreds
Find the mean number of hrs for these students if necessary round your answer to the nearest tenth
Answers
Answer:
\(\huge\boxed{\sf Mean = 11.1 \ hours}\)
Step-by-step explanation:
Given data:18, 7, 6, 13, 8, 17, 9
Mean:\(\displaystyle Mean = \frac{Sum \ of \ data}{No. \ of \ data} \\\\Mean = \frac{18+7+6+13+8+17+9}{7} \\\\Mean = \frac{78}{7} \\\\Mean = 11.1 \ hours\\\\\rule[225]{225}{2}\)
Answer:
11.1
Step-by-step explanation:
What is mean?The mean is simply the average of a given set of numbers
To find the mean we find the sum of the given numbers and divide that by the number of given values.
Finding the mean.Given set of values:
18, 7, 6, 13, 8, 17, 9Mean:
Sum of values/Number of values (18 + 7 + 6 + 13 + 8 + 17 + 9)/778/711.1 (rounded to the nearest tenth)The mean of the number of hours the students watched of tv is 11.1 hours
Identify the type of hypothesis test below. H0:X=10.2, Ha:X>10.2 Select the correct answer below: The hypothesis test is two-tailed. The hypothesis test is left-tailed. The hypothesis test is right-tailed.
Answers
Answer:
The hypothesis test is right-tailed
Step-by-step explanation:
To identify a one tailed test, the claim in the case study tests for the either of the two options of greater or less than the mean value in the null hypothesis.
While for a two tailed test, the claim always test for both options: greater and less than the mean value.
Thus given this: H0:X=10.2, Ha:X>10.2, there is only the option of > in the alternative claim thus it is a one tailed hypothesis test and right tailed.
A test with the greater than option is right tailed while that with the less than option is left tailed.
Answer:
Please help with questions on my profile somebody
Step-by-step explanation:
What values of x
and y
satisfy the system of equations {8x+9y=−36 x+7y=1}
Enter your answer as an ordered pair, like this: (42, 53)
If your answer includes one or more fractions, use the / symbol to separate numerators and denominators. For example, if your answer is (4253,6475),
enter it like this: (42/53, 64/75)
If there is no solution, enter "no"; if there are infinitely many solutions, enter "inf."
Answers
The solution to the system of equations is (x, y) = (-261/47, 44/47) as an ordered pair.
To solve the given system of equations:
Equation 1: 8x + 9y = -36
Equation 2: x + 7y = 1
We can use the method of substitution or elimination to find the values of x and y. Let's use the method of substitution:
From Equation 2, we can solve for x:
x = 1 - 7y
Substituting this value of x into Equation 1:
8(1 - 7y) + 9y = -36
8 - 56y + 9y = -36
-47y = -44
y = 44/47
Substituting the value of y back into Equation 2 to find x:
x + 7(44/47) = 1
x + 308/47 = 1
x = 1 - 308/47
x = (47 - 308)/47
x = -261/47
Therefore, as an ordered pair, the solution to the system of equations is (x, y) = (-261/47, 44/47).
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▪ For every 8 multiple-choice questions on Minnie's math
test, there are 5 short-answer questions. How many multiple-choice and short-answer questions are on a test with 65 question
Answers
The number of multiple-choice and short-answer questions on a test with 65 questions will be 40 and 25 respectively.
Numerical calculationTo determine the number of multiple-choice and short-answer questions on a test with 65 questions, we can set up a proportion based on the given ratio:
Multiple-choice questions : Short-answer questions = 8 : 5
Let x be the number of multiple-choice questions.
Let y be the number of short-answer questions.
Using the proportion, we can set up the following equation:
8/5 = x/y
8y = 5x
x = (8y)/5
Since the total number of questions on the test is 65, we have the equation:
x + y = 65
Substituting the expression for x from the previous equation:
(8y)/5 + y = 65
(8y + 5y)/5 = 65
13y/5 = 65
13y = 65 * 5
13y = 325
Dividing both sides by 13:
y = 325/13
y = 25
Substituting this value of y back into the equation x = (8y)/5:
x = (8 x 25)/5
x = 40
Therefore, there are 40 multiple-choice questions and 25 short-answer questions on the test with a total of 65 questions.
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Factor Completely. 10x3−6x2+50x−30
A 2(x2-5)(5x+3)
B 2(x+5)(5x+3)
C (x2+5)(x-3)
D 2(x2+5)(5x-3
Answers
Answer:
c
Step-by-step explanation:
Can anyone help, I got really confused doing this problem, and I can’t find the answer for it.
Answers
Answer: The area is 45 square feet
Step-by-step explanation: Use the formula (base*height)/2. Base in this case is 15, while height is 6. (15*6)/(2) It should equal 45 square feet.
Answer:
45^ft
Step-by-step explanation:
1/2 B ×H
1/2(6)×15=45^ft
Determine the values of x in the equation x2 = 64.
Answers
Explain= When a variable(the letter next to the number in this case the “x”) is placed next two a coefficient(the number next to a variable, in this case “2”), that means the variable is being multiplied by that number. To solve for x, we must divide the sum of x2 (64) by the coefficient. The number will equal x.
x2=64? X = 32!
The area for the trapezoid is in2.
Answers
Answer:
1204
Step-by-step explanation:
Can somebody help me asap I need this finished
Answers
Answer:
A) y=5x-3
Step-by-step explanation: