Write an equation for line L in point-slope form and slope-intercept form.
L is perpendicular to y=4x.
Answers
Answer:
\(y = -\frac{1}{4}x + c\) --- Slope intercept
\(y - y_1 = -\frac{1}{4}(x - x_1)\) --- Point slope
Step-by-step explanation:
Given
Perpendicular to \(y = 4x\)
Required
Determine its equation
The general form of an equation is:
\(y = mx + c\)
Where
\(m = slope\)
By comparison:
\(m = 4\)
Next, we calculate the slope of L.
Because L is perpendicular to \(y = 4x\), the relationship between their slopes is:
\(m_2 = -\frac{1}{m}\)
Substitute 4 for m
\(m_2 = -\frac{1}{4}\)
The equation of L in slope intercept form is: \(y = mx + c\)
Substitute -1/4 for m
\(y = -\frac{1}{4}x + c\)
In point slope form, we have:
\(y - y_1 = m(x - x_1)\)
Substitute -1/4 for m
\(y - y_1 = -\frac{1}{4}(x - x_1)\)
Answer:
y-4=-1/4(x-1)
y=-1/4x+17/4
Step-by-step explanation:
Related Questions
Select all ratios equivalent to 14:10.
5:4
21:15
56:40
Answers
Answer:
21:15 and 56:40
Step-by-step explanation:
Answer:
21:15
And
56:40
You're welcome :)
What is the volume of the following rectangular prism? 3 1/3 1 2/5
Answers
Area of rectangular prism: Base x Height.
so 3x1/3x2/5=0.4 0r 2/5
You are an apprentice plumber for Pointer Plumbing. You are earning an annual salary of $21,060. You are married and claim 3 allowances. What amount in withheld from your weekly pay for federal income tax?
Answers
If you are an apprentice plumber earning an annual salary of $21,060, and you lay claim to 3 allowances, the amount that will be withheld from your weekly pay for federal income tax is: $7.
How much will be witheld from your weekly pay?To obtain the correct amount to be paid, we need to use the table provided by the IRS. First note that there are 52 weeks in a year, so we need to divide your annual earnings by the total number of weeks in a year.
So, 21060/52 = $405
When we look at the table to see the chart for a person who has a weekly wage of 400 - 410, and lays claim to three allowances, we will see that the right amount that such an individual is meant to pay is $7.
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Show how you arrived at your solution on the answer sheet for full credit. Write neatly, clearly and be organized.
11. A maker of frozen meals claims that the average caloric content of its meals is 800. A
researcher tested 12 meals and found that a sample mean was 815 calories and the sample
standard deviation 25. Is there enough evidence to reject the claim at a =0.02? Assume the
variable is normally distributed. Use p-value method or traditional method. (hint: two-tail
test) write your answer three decimal places (8 points)
Answers
Step-by-step explanation:
A car is on a slope of 10degree above the horizontal . a force 1000N is applied to the car up the line of the slope. the car has amass of 500 kg . what is the acceleration of the car
The residual plot shows the residuals for the day of the month and the amount in Kali’s checking account. Which statement best assesses the linearity of the relationship between the day of the month and account balance if the scatterplot appears to be reasonably linear?
A) Because the residual plot has an obvious pattern, and the scatterplot appears linear, it is appropriate to use the line of best fit to predict the account balance based on the day of the month.
B) Because the residual plot has an obvious pattern, and the scatterplot appears linear, it is not appropriate to use the line of best fit to predict the account balance based on the day of the month.
C) Because the residual plot has no obvious pattern, and the scatterplot appears linear, it is appropriate to use the line of best fit to predict the account balance based on the day of the month.
D) Because the residual plot has no obvious pattern, and the scatterplot appears linear, it is not appropriate to use the line of best fit to predict the account balance based on the day of the month.
Answers
The best assessment of the linearity of the relationship between the day of the month and account balance would be "Because the residual plot has no obvious pattern, and the scatterplot appears linear, it is appropriate to use the line of best fit to predict the account balance based on the day of the month."The correct answer is option C.
When assessing linearity, it is important to examine both the scatterplot and the residual plot. The scatterplot is used to visualize the relationship between the variables, while the residual plot helps us assess the appropriateness of a linear model by examining the pattern of the residuals (the differences between observed and predicted values).
If the scatterplot appears reasonably linear, it suggests that there is a linear relationship between the variables. In this case, since the scatterplot appears linear, it supports the use of a linear model to predict the account balance based on the day of the month.
Furthermore, the residual plot is used to check for any patterns or systematic deviations from the line of best fit. If the residual plot exhibits no obvious pattern and the residuals appear randomly distributed around zero, it indicates that the linear model captures the relationship adequately.
Therefore, if the residual plot shows no obvious pattern, it provides further evidence in favor of using the line of best fit to predict the account balance based on the day of the month.
In conclusion, when the scatterplot appears linear and the residual plot shows no obvious pattern, it is appropriate to use the line of best fit to predict the account balance based on the day of the month.
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Answer:
person above
Step-by-step explanation:
the obvious
Jared writes a multiplication expression with eight rational factors. Half of the factors are positive and half are negative.
Is the product positive or negative? Why?
Answers
The multiplication expression with eight rational factors are ''positive''.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
Jared writes a multiplication expression with eight rational factors. Half of the factors are positive and half are negative.
Since, Multiplication of four positive numbers are always gives a positive number and multiplication of four negative numbers are always gives a positive number.
Hence, The multiplication expression with eight rational factors are positive.
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A lighting designer created a program for the opening of a stage show. When the show starts, 10 lights are on. Every 30 seconds, 1 more light comes on. If t is time in minutes and L is the number of lights that are on, which function best models the number of lights that are on after t minutes of the stage shows?
A. L= 1/2t+10
B. L=2t+10
C. L=30t+10
D. L=10t+1/2
E. L=10t+30
I really need your help!!!
Answers
The number of lights L that are on after t minutes of the stage shows is,
A. L = (1/2)t + 10.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, When the show starts, 10 lights are on which is a constant in out function.
Every 30 seconds or (1/2) a minute 1 more light comes on.
∴ The function best models the number of lights that are on after t minutes of the stage shows is,
L = (1/2)t + 10.
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5th grade math. correct answer will be marked brainliest
Answers
Answer:
Step-by-step explanation:
The answer is 4/8 or 1/2 pie
Answer:
The answer is 4/8 or 1/2 pie
Have an amazing day :)
Dan spent 0.125 of his money in snacks, 1/4 on travelling and saved the
rest. If he saved $65, how much money did he have at first?
Answers
Answer:
89.38
Step-by-step explanation:
65 times 0.125 = 8.125
65 times 0.25 = 16.25
16.25 plus 8.125 plus 65 = 89.38 dollars
which of the following is a good representation of what a typical worker in a particular group might make?
-salary representation
-income estimation
-median salary
-Income potential
Answers
Find the equation of a line containing the points (−2,−4) and (1,−3).
Answers
-4 = m(-2) + b
-3 = m(1) + b —> -3 = m + b —> -3 - m = b
Substitute (-3 - m) for b:
-4 = m(-2) + (-3 - m)
-4 = -2m -3 - m
-1 = -3m
1/3 = m
Plug in the solved m value to solve for b:
-4 = (1/3)(-2) + b
-4 = -2/3 + b
-3 1/3 = b
Write your final equation:
y = 1/3x - 10/3
About 7% of the population has a particular genetic mutation. 400 people are randomly selected. Find the standard deviation for the number of people with the genetic mutation in such groups of 400.
Answers
Answer:
5.10 people
Step-by-step explanation:
Calculation to Find the standard deviation for the number of people with the genetic mutation
Using this formula
Standard deviation = √ ( n * p * q)
Where,
n = 400
p = .07
q = 100%-7% = 93% or .93
Let plug in the formula
Standard deviation =√400*07*.93
Standard deviation =√26.04
Standard deviation = 5.10 people
Therefore the standard deviation for the number of people with the genetic mutation is 5.10 people.
Let X be a random variable that takes values from 0 to 9 with equal probability 1/10. Find the probability distribution of the random variable Y = X mod (4). Find the probability distribution of the random variable Y = 6 mod (X + 1). x mod y = remainder when x is divided by y.
Answers
The probability distribution of Y = X mod (4) is: 3/10, 3/10, 2/10, 2/10 and the probability distribution of Y = 6 mod (X + 1) is: 1/10, 1/10, 2/10, 1/10, 2/10, 2/10 , 1/10.
The probability distribution of Y = X mod (4) can be found as follows:
Y = 0, when X = 0, 4, 8
Y = 1, when X = 1, 5, 9
Y = 2, when X = 2, 6
Y = 3, when X = 3, 7
So, the probability distribution of Y = X mod (4) is:
Y = 0, P(Y = 0) = 3/10
Y = 1, P(Y = 1) = 3/10
Y = 2, P(Y = 2) = 2/10
Y = 3, P(Y = 3) = 2/10
The probability distribution of Y = 6 mod (X + 1) can be found as follows:
Y = 0, when X = 5
Y = 1, when X = 0
Y = 2, when X = 1, 6
Y = 3, when X = 2
Y = 4, when X = 3, 7
Y = 5, when X = 4, 8
Y = 6, when X = 9
So, the probability distribution of Y = 6 mod (X + 1) is:
Y = 0, P(Y = 0) = 1/10
Y = 1, P(Y = 1) = 1/10
Y = 2, P(Y = 2) = 2/10
Y = 3, P(Y = 3) = 1/10
Y = 4, P(Y = 4) = 2/10
Y = 5, P(Y = 5) = 2/10
Y = 6, P(Y = 6) = 1/10
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(5x - 2)^2 = 27 quadratic formula
Answers
Answer:
\(x = \frac{2 \pm 3\sqrt3}{5}\)
Step-by-step explanation:
Hello!
First, expand the equation:\((5x - 2)^2 = 27\)\((5x - 2)(5x - 2) = 27\)\(25x^2 - 10x - 10x + 4 = 27\)\(25x^2 - 20x -23 = 0\)Standard form of a Quadratic: \(ax^2 + bx + c = 0\)
Quadratic Formula: \(x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\)
Given our Equation: \(25x^2 - 20x -23 = 0\)
a = 25b = -20c = -23Solve the Quadratic\(x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\)\(x = \frac{20 \pm \sqrt{20^2 - 4(25)(-23)}}{2(25)}\)\(x = \frac{20 \pm \sqrt{400 +2300}}{50}\)\(x = \frac{20\pm\sqrt{2700}}{50}\)\(x = \frac{20\pm30\sqrt3}{50}\)\(x = \frac{10(2 \pm3\sqrt3)}{10(5)}\)\(x = \frac{\not10(2 \pm3\sqrt3)}{\not10(5)}\)\(x = \frac{2 \pm 3\sqrt3}{5}\)The solutions are \(x = \frac{2 + 3\sqrt3}{5}\) and \(x = \frac{2 - 3\sqrt3}{5}\).
(SAT Prep) In the given figure, a║b. What is the value of x? A. 70° B. 45° C. 80° D. 65° I NEED THIS FAST PLZZZZZZ!!!!!!!!!!!!
Answers
Answer:
70
Step-by-step explanation:
You have to find the vertical of x. To the right of the vertical, we see that there is an angle of 25 (since the 25 up top corresponds to that blank angle). Once you add 25 + 85 + x = 180 (since this is a straight line), we see that x is 70, and its vertical is also 70.
consider the following arguments. using only the basic valid arguments, deduce the conclusion from the premises. give a reason for each step. do not use a truth table, nor the contradiction rule.
Answers
As per the rule of inference, the conclusion of the premises is t.
In statistics, rule of inference refers the following rule for the deduction purpose.
Addition rule: given p, conclude p∨qConjunction rule: given p and q, conclude p∧qSimplification rule: given p∧q, conclude p and qModus Ponens rule: given p and p→q, conclude qModus Tollens rule: given ¬q and p→q, conclude ¬pHypothetical Syllogism rule: given p→q and q→r, conclude p→rDisjunctive Syllogism rule: given p∨q and ¬p, conclude qResolution rule: given p∨q and ¬p∨r, conclude q∨rHere we have given that we have to deduce the conclusion from the premises and do not use a truth table, nor the contradiction rule.
Here let us consider the premises are therefore ¬p∧q, r→p, ¬r→s, s→t and the conclusion is t.
Now, we have to apply the following rules of inference.
=> ¬p∧q (Apply simplification)
=> r→p (Modification)
=> ¬r→s (Modus Ponens)
=> s→t (Modus Ponens)
=> ¬p
=> ¬r (Modus Ponens)
=> s (Modus Ponens)
=> t
Therefore, we were able to derive the conclusion from the premises using the rules of inference, the argument is valid.
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A scatterplot contains data showing the relationship between number of football games played and total number of rushing yards. Which graph displays the line of best fit for the data?
Answers
To identify the appropriate graph displaying the line of best fit, one would need to examine the slope, position, and dispersion of the data points in relation to the line.
To determine which graph displays the line of best fit for the relationship between the number of football games played and the total number of rushing yards, we would need to analyze the given graphs and identify the one that best represents the trend in the data.
The line of best fit is a straight line that represents the average trend of the data points in a scatterplot. It is calculated using regression analysis to find the line that minimizes the overall distance between the line and the data points.
Without the specific graphs to examine, it is not possible to identify the exact graph that displays the line of best fit. However, in a scatterplot of the number of football games played versus the total number of rushing yards, the line of best fit would be a straight line that best represents the general trend or relationship between the two variables.
The line of best fit may have a positive slope if there is a positive correlation between the number of games played and rushing yards, indicating that more games played result in higher rushing yards. Conversely, it may have a negative slope if there is a negative correlation, suggesting that more games played lead to lower rushing yards.
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One 6 oz juice box has 90 calories. How many calories are there in 64 oz jug of the juice? Round to the nearest calorie.
Answers
Answer:
960 calories for the 64 oz jug
Step-by-step explanation:
6 oz for 90 calories.
64 oz for ??? calories.
It's a ratio, 6:90
and 64:???
so 6 * 10 2/3 is 64.
so 90 * 10 2/3 is ???
960 is ???
Answer:
I believe that would look like this
64 x 90 / 6 = 960 calories
-21x (x + 28)
multiply
Answers
\(-21x^{2}-588\)
let me know if anything is unclear, I'm happy to help!
x2=-4 please help me find out
Answers
Answer:
Bruh, easy. Divide -4 by 2 and you get -2. So, x = -2.
Why you not know that?!
Answer:
x = -2
Step-by-step explanation:
2x = -4 ( divide by 2)
x = -2
How much water should we add to 20 kg of seawater to change its concentration from 3% to 2%?
( SHOW WORK PLZZ)
Answers
Answer:
10 kg
Step-by-step explanation:
In 3% concentration of 20 kg of seawater, there will be \(\frac{20*3}{100}=0.6\) kg of salt.
So, if it is a 2% solution of seawater,
Then 2 kg salt will be there in 100 kg solution.
So, 0.6 kg salt will be there in \(\frac{100*0.6}{2}=30\) kg of solution.
So, to make a solution from 3% to 2% we have to add (30 - 20) = 10 kg of water with a 20 kg solution. (Answer)
evaluate will give brainlist
Answers
Answer:
C. 1/25
Step-by-step explanation:
5^-2=5^(2*-1)
5^2=25
25^-1=1/25
Answer:
It is C 1/25 because it won't be -25 because a negative times a negative is a positive
Step-by-step explanation:
A group of scientist studied the effect of chemical on various strains of bacteria. strain A started with 12,000 cells and decreased at a constant rate of 3000 cells per hour after the chemical was applied. strain B started with 4000 cells and decreased at a constant rate of 2000 cells per hour after the chemical was applied. When will the strain have the same number of cells?
Answers
Since strain A started with 12,000 cells and decreased at a constant rate of 3000 cells per hour, we get that the cell population of strain A after t hours is:
\(12000-3000t\text{.}\)Since strain B started with 4000 cells and decreased at a constant rate of 2000 cells per hour, we get that the cell population of strain B after t hours is:
\(4000-2000t\text{.}\)If strain A and strain B have the same number of cells, then we can set the following equation:
\(12000-3000t=4000-2000t\text{.}\)Subtracting 4000 from the above equation we get:
\(8000-3000t=-2000t\text{.}\)Adding 3000t to the above equation we get:
\(8000=1000t\text{.}\)Dividing by 1000 we get:
\(t=8.\)Now, notice that, substituting t=8 in the first expression in the answering tab we get:
\(12000-8\cdot3000=12000-24000=-12000.\)But we cannot get a negative number of cells, therefore this solution has no real meaning in the context of the problem.
Now, notice that substituting t=2 in the second expression we get:
\(4000-2000\cdot2=4000-4000=0.\)Therefore after 2 hours, strain A has 0 cells, and this number does not change with time (because we cannot get a negative number of cells).
Now, notice that substituting t=4 in the expression we get that:
\(12000-3000\cdot4=12000-12000=0.\)Therefore after 4 hours, strain B has 0 cells.
Then, after 4 hours after the chemical was applied both strains will have 0 cells.
Answer: 4 hours after the chemical was applied.
One dealer is selling the Nissan Leaf Hatchback for $25,600.00. Their finance company is offering a 72-month amortized loan at a rate of 1.75%. Assume a down payment of 17%
What will the monthly payment be?
How much will the car cost, in total?
How much money will be paid in interest?
If you agreed to make payments once every 2 weeks, what would your payments be?
Answers
Answer: the answer is D i just did that
Step-by-step explanation:
Pls help me I give pick BRAINLIEST!!
Answers
Answer:
24
Step-by-step explanation:
56/7=8
8x3=24
What are m21 and m_2?
Answers
Answer:
<1 = 35degrees
<2 = 30degrees
Step-by-step explanation:
Using the theorem that the sum of external angle is equal to sum of interior angle
Considering the smaller triangle
Exterior angle = 115 degrees
Sum of interior = <1 + 80
Equating both
<1 + 80 = 115
<1 = 115 - 80
<1 = 35degrees
For the big rectangle
Exterior angle = 115 degrees
Sum of interior = <2 + 85
Equating both
<2 + 85 = 115
<2 = 115 - 85
<2 = 30degrees
If the Brooklyn Bridge is approximately 1.8 kilometers long, how many feet long is the BrooklynBridge? Round your answer to the nearest foot.I
Answers
SOLUTION
STEP 1: Write the given unit of measurement
\(1.8km\)STEP 2: Convert to foot
\(\begin{gathered} 1km=3280.84ft \\ 1.8km=x\text{ }ft \end{gathered}\)By cross multiplication,
\(\begin{gathered} x\times1=3280.84\times1.8=5905.512ft \\ x\approx5906ft \end{gathered}\)Hence, answer is 5906ft
26. Tyler has been saving his winning lottery tickets. He has 23 tickets that are worth a total of $175. If each ticket is worth either $5 or $10, how many of each does he have?
Answers
A carpenter is making doors that are 20582058 millimeters tall. If the doors are too long they must be trimmed, and if they are too short they cannot be used. A sample of 1010 doors is made, and it is found that they have a mean of 20462046 millimeters with a standard deviation of 1515. Is there evidence at the 0.050.05 level that the doors are too short and unusable
Answers
Answer:
Z= 0.253
Z∝/2 = ± 1.96
Step-by-step explanation:
Formulate the null and alternative hypotheses as
H0 : u1= u2 against Ha : u1≠ u2 This is a two sided test
Here ∝= 0.005
For alpha by 2 for a two tailed test Z∝/2 = ± 1.96
Standard deviation = s= 15
n= 10
The test statistic used here is
Z = x- x`/ s/√n
Z= 2058- 2046 / 15 / √10
Z= 0.253
Since the calculated value of Z= 0.253 falls in the critical region we reject the null hypothesis.
There is evidence at the 0.05 level that the doors are too short and unusable.
The weights of bags of chips are normally distributed with a mean of 180 grams and a standard deviation of 4 grams.
What percent of the bags of chips weigh less than 176 grams?
2.5%
16%
32%
34%
Answers
The percent of the bags of chips weigh less than 176 grams is b 16%
What percent of the bags of chips weigh less than 176 grams?From the question, we have the following parameters that can be used in our computation:
Mean = 180
Standard deviation = 4
Bags of chips weigh less than 176 grams
This means that
x = 176
So, the z-score is
z = (176 - 180)/4
Evaluate
z = -1
The percent of the bags of chips weigh less than 176 grams is represented as
P = P(z < -1)
Using a graphing calculator, we have
Percentage = 0.15866
So, we have
Percentage = 16%
Hence , the percentage is 16%
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