Write an equation of a line that is perpendicular to y = 4x + 8 and passes through (−8, 4).
Answers
The equation of line is y= -1/4x + 2
What is Equation of line?The slope of the line and a point on the line can be used to create the equation of a line. To better comprehend how the equation for a line is formed. The slope of the line, which can be stated as a numeric integer, fraction, or the tangent of the angle it forms with the positive x-axis, is the line's inclination with respect to the positive x-axis.
The general form is \((y- y_1)= m(x - x_1)\)
given:
line that is perpendicular to y = 4x + 8 and passes through (−8, 4).
Here the slope of given line is 4.
So, the slope of perpendicular lines is
m = -1/4
Now, as the line passes through (-8, 4)
Then using
(y - y1) = m (x- x1)
y- 4= -1/4(x- (-8))
y-4 = -1/4 ( x+8)
y-4 = -1/4 x - 2
y= -1/4x + 2
Hence, the equation of line is y= -1/4x + 2.
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Answer: y= -1/4x + 2
Step-by-step explanation: chose the answer and got it right on my test
Related Questions
The variable whose effect on the response variable is to be assessed by the experimenter.
Answers
In an experiment, the variable being measured or tested is known as the dependent variable.
What is dependent variable?Any variable whose value depends on an independent variable is said to be dependent. The thing being measured in an experiment or assessed in a mathematical equation is the dependent variable. Sometimes the dependent variable is referred to as "the result variable." A dependent variable is one that depends on the value of another variable in an expression. As an illustration, if y = 2x, then y relies on x Consequently, y Equals 2 if x = 1. The independent variable is the one whose value is unrelated to the other variables. The dependent variable is the one whose value depends on the independent variable. When the same line is written in two different ways so that there are infinite solutions, an equation system is referred to as dependent.To learn more about dependent variable, refer to:
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Andrew paid $72 as bike rental charges. If he is billed at $8 an hour, how many
hours has he used the bike for?(plz help)
Answers
Answer:
He has used the bike for 9 hours.
Step-by-step explanation:
If he paid $72 and its $8 an hour, you would divide 72 by 8, which would be 9. 9 would equal the amount of hours.
Hope I could help :)
what is the coefficient of x² in the taylor series for 1/(1+x)² about x = 0
a) 1/6
b) 1/3
c) 1
d) 3
e) 6
Answers
Answer:
D) 3
Step-by-step explanation:
Recall the formula for a Taylor Series of a function f(x) centered at x=a:
\(\displaystyle f(x)=f(a)+f'(a)(x-a)+\frac{f''(a)(x-a)^2}{2!}+\frac{f'''(a)(x-a)^3}{3!}+...+\frac{f^n(a)(x-a)^n}{n!}\)
Therefore, the coefficient of x² would come from determining \(\displaystyle \frac{f''(a)(x-a)^2}{2!}\):
\(\displaystyle \frac{f''(0)(x-0)^2}{2!}=\frac{\frac{6}{(1+0)^4}x^2}{2}=\frac{6x^2}{2}=3x^2\)
So, the coefficient would be 3.
The coefficient of x² in the Taylor series expansion for 1/(1+x)² about x = 0 can be determined by taking the derivative of the function and evaluating it at x = 0. The correct option is c.
To find the Taylor series expansion of 1/(1+x)², we can start by expanding the function using the geometric series:
1/(1+x)² = (1 - x + x² - x³ + ...)² = 1 - 2x + 3x² - 4x³ + ...
By inspecting the expansion, we can see that the coefficient of x² is 3. Therefore, the correct option is (c) 1.
In summary, the coefficient of x² in the Taylor series for 1/(1+x)² about x = 0 is 3, which corresponds to option (c).
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How many kilobytes have been downloaded so far?
Answers
Answer:
Do you have a photo or some other information to go with this?
Step-by-step explanation:
Which table correctly shows all the sample spaces for tossing a coin to get heads and rolling a number on a six-sided number cube? Coin Number cube Outcome Tails 1 Tails, 1 Tails 2 Tails, 2 Tails 3 Tails, 3 Tails 4 Tails, 4 Tails 5 Tails, 5 Tails 6 Tails, 6 Coin Number cube Outcome Heads 1 Heads, 1 Heads 2 Heads, 2 Heads 3 Heads, 3 Heads 4 Heads, 4 Heads 5 Heads, 5 Heads 6 Heads, 6 Coin Number cube Outcome Heads 1 Heads, 2 Heads 2 Heads, 4 Heads 3 Heads, 6 Tails 4 Tails, 2 Tails 5 Tails, 4 Tails 6 Tails, 6 Coin Number cube Outcome Heads 2 Heads, 1 Heads 4 Heads, 3 Heads 6 Heads, 5 Tails 2 Tails, 1 Tails 4 Tails, 3 Tails 6 Tails, 5
Answers
Answer:
I am pretty sure that it is
heads 1
heads 2
heads 3
heads 4
heads 5
heads 6
Step-by-step explanation:
because in the question it says to roll a six sided die and a coin that lands on heads so there are all the numbers on die and heads only
Answer:
I think its all head
Step-by-step explanation:
Coin Number
cube Outcome
Heads
1
Heads, 1
Heads
2
Heads, 2
Heads
3
Heads, 3
Heads
4
Heads, 4
Heads
5
Heads, 5
Heads
6
Heads, 6
Please help!!
−7c+9−8c+1
Answers
Answer:-5(3c-2
Step-by-step explanation:
Answer: -15c + 10
Step-by-step explanation:
-7c + 9 - 8c + 1
Combine Like Terms:
(-7 -8c) + (9+1)
-15c + 10
Ryan is saving for a new computer. He begins saving $50 per month. Each month, he is able to save $5 more than the previous month. How many months will it take Ryan to save up for the computer if the computer costs $2415?
Answers
It will take Ryan 21 months to save up for the computer.
To determine how many months it will take Ryan to save up for the computer, we need to find the number of months when his total savings will reach or exceed the cost of the computer.
Let's analyze Ryan's savings pattern:
Month 1: $50
Month 2: $50 + $55 = $105
Month 3: $105 + $60 = $165
Month 4: $165 + $65 = $230
Month 5: $230 + $70 = $300
...
We can observe that each month, Ryan saves an additional $5 compared to the previous month.
This can be represented by an arithmetic sequence with a common difference of $5.
We can find the sum of an arithmetic sequence using the formula:
Sn = (n/2)(2a + (n-1)d)
Where:
Sn is the sum of the first n terms,
a is the first term of the sequence, and
d is the common difference.
In this case, we need to find the value of n (the number of months) when Sn (the total savings) is greater than or equal to $2415 (the cost of the computer).
2415 = (n/2)(2 \(\times\) 50 + (n-1) \(\times\) 5)
Simplifying, we have:
2415 = (n/2)(100 + 5n - 5)
2415 = (n/2)(5n + 95)
Dividing both sides by 5:
483 = (n/2)(n + 19)
To solve this equation, we can consider the factors of 483 and check for the value of n that satisfies the equation.
The factors of 483 are: 1, 3, 7, 9, 21, 29, 87, 203, 483.
Checking each factor, we find that when n = 21, the equation is satisfied:
483 = (21/2)(21 + 19)
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I WILL MARK BRAINLIEST IF ANSWER IN LESS THAN 5 MINUTES!!!!!!! tory is buying bananas. she has 15 dollars and bananas are 2.45 each. how many bananas can she buy?
Answers
Answer:
6 bananas
Step-by-step explanation:
Divide the dollars by the price for bananas
15/2.45
6.12244898
Round down because she cannot buy part of a banana
6 bananas
Pierre prefers shirts made with 100 percent cotton, but he will sometimes buy shirts with less cotton if they are less expensive. Pierre uses ________ to decide which shirts to buy.
Answers
Pierre uses price as a deciding factor to choose which shirts to buy.
Pierre considers the price of the shirts as an important factor in his decision-making process. While he prefers shirts made with 100 percent cotton, he is willing to compromise on the fabric composition if it means getting a better deal or a lower price. This means that if there are shirts available with a lower percentage of cotton but at a significantly lower price, Pierre may choose to purchase those shirts instead. By considering the price along with his preference for cotton shirts, Pierre is able to make a more informed decision that balances his desired quality with affordability.
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pls help asap if you can!!!
Answers
The statement that best proves that <XWY ≅ <ZYW is that two parallel lines are cut by a transversal, then the alternate interior angles are congruent
How to determine the statementTo determine the correct statement, we need to know the properties of a parallelogram.
These properties includes;
Opposite sides are parallel. Opposite sides are congruent. Opposite angles are congruent. Same-Side interior angles (consecutive angles) are supplementary. Each diagonal of a parallelogram separates it into two congruent triangles.The diagonals of a parallelogram bisect each other.Learn more about parallelogram at: https://brainly.com/question/10744696
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Unit 5. 1) Please help. What is the volume of the cone?
Answers
Answer:
I think the correct answer is 27 so option c. :)
make multiplying and dividing rational numbers worksheet?
Answers
Multiplication and division of regular numbers are the same as fractions and we will learn them with the multiplication and division of rational numbers worksheet.
To do the multiplication, first find the greatest common divisor of the numerator and the denominator. The factors are then grouped together so that the score equals one. Then multiply by the remaining factors. To divide, first rewrite the division as multiplication by the inverse of the denominator.
Cuemath's interactive math worksheets contain visual simulations to help your child visualize the concepts being taught, "see things as they really are, and reinforce learning from them". The Rational Numbers Multiplication and Division Worksheet follows a step-by-step learning process that helps students better understand concepts, identify errors, and eventually develop strategies for solving future problems.
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14 boxes of candles were sold for $91.00 what is the cost of 1 box?
Answers
Answer:$6.50
Step-by-step explanation:
if you divide 91 by 14 you get 6.5 which makes one candle $6.50
help ASAP pleaseeee...
Answers
Answer: let's try C ( sorry if i'm wrong)
Step-by-step explanation:
Draw a A PQR if PQ = 6.5cm, m< PQR=75 °and m <PRQ=45° using ruler and compasses
only.
Answers
Answer:
Check your question well
Step-by-step explanation:
U didn't ask to draw angle p so how can we get the angle r
Please help with these 3! Don’t need the steps, just the answer
Answers
Bottom left is y=-x+2
The right one is y=2/3x-4
5
Explain how to calculate each of these mentally.
1. 15 is what percentage of 30?
2. 3 is what percentage of 12?
3. 6 is what percentage of 10?
Answers
2. 25%
3. 60%
Example: What is 10% of 150?
Convert the problem to an equation using the percentage formula: P% * X = Y
P is 10%, X is 150, so the equation is 10% * 150 = Y
Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10
Substitute 0.10 for 10% in the equation: 10% * 150 = Y becomes 0.10 * 150 = Y
Do the math: 0.10 * 150 = 15
Y = 15
So 10% of 150 is 15
Double check your answer with the original question: What is 10% of 150? Multiply 0.10 * 150 = 15
Plzzzzz help i'm in desprate need of help with this
Answers
Answer:
Obtuse
Step-by-step explanation:
Right = has angle measure of 90°
Acute = has angle measure less than 90°
Equilateral = 2 or more angles whose angle measures are congruent to others
Circle = measures 360°
Obtuse = Angle measure greater than 90° and less than 180°
Hope this helps!
You are an architect designing a two-story building for mixed-use. according to the building code, the steps of stairs must be 4 to 7 inches in height, and they must have a depth of 10 inches. the height of one story (floor) is 10 feet. what is the horizontal space (width and depth of the floor) that you will need to build the stairs? if this space is not available what are other options that could be used to take people from one floor to the next?
Answers
The horizontal space needed for the stairs would depend on the number of steps needed to go from one floor to the next. Assuming 12 steps, the width of the stairway would need to be 120 inches height (10 feet) and the depth would need to be 120 inches (10 feet).
If the space is not available, other options to take number of people from one floor to the next include an elevator, a ramp, or a spiral staircase.
In addition to the minimum building code requirements, other factors should be considered when designing the stairs. For instance, the staircase should be designed to allow for a comfortable walking experience with easy access for the elderly, young children, and people with disabilities. Other considerations include the width of the stairs, the type of handrails, and the materials to be used for the construction of the staircase.
It is also important to consider the aesthetics of the staircase, as it will be an important part of the overall design of the building. The style, color, and texture of the materials used for the stairs can make a big impact on the overall look and feel of the building.
Safety should also be a priority, as the staircase should be designed with the proper safety features, such as slip-resistant surfaces, handrails, and lighting, to ensure the safety of all occupants.
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The horizontal space needed to build height the stairs would be the total number of steps multiplied by 10 inches, which would be 70 inches (5.83 feet).
Number of steps = (10 feet / 7 inches)
= 14.29 steps
Horizontal space = (14.29 steps x 10 inches)
= 142.9 inches (11.9 feet)
If the horizontal space needed to build the stairs is not available, other options for taking people from one floor to the next could include installing an elevator, a ramp, or a spiral staircase. An elevator is the most efficient option, but it takes up a lot of space and may not be feasible. A ramp is a good alternative if there is enough space, but it may not be ADA compliant. A spiral staircase could be a great option if there is limited space available, as it can fit in a smaller area.
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Andreas, Isla and Paulo share some money in the ratios 3:2:5 The total amount of money that Isla and Paulo receive is £76 more than the amount of money that Andreas receives, Andreas buys a video game for £48. 50 with some of his share of the money. Work out how much money Andreas has left from his share of the money when he has bought the video game
Answers
The money Andreas has left from his share of the money when he has bought the video game is £179.50.
Let the amount of money that they share be represented by the variable x.
Given that they share the money in the ratio 3:2:5, we can express their share of the money as:
Andreas' share = 3x/10
Isla's share = 2x/10
= x/5
Paulo's share = 5x/10
= x/2Also, given that the total amount of money that Isla and Paulo receive is £76 more than the amount of money that Andreas receives, we can form an equation:
x/5 + x/2 = 3x/10 + £76
Multiplying both sides by 10 to get rid of the fractions, we get: 2x + 5x = 3x + £760x = £760
Therefore, the total amount of money shared is £760.
Now that we know the total amount of money shared, we can determine how much Andreas has left after buying the video game.
We are told that Andreas buys a video game for £48.50 with some of his share of the money.
Therefore, he has £48.50 less than his share of the money left, which is:3x/10 - £48.50.
This simplifies to:(3/10)(£760) - £48.50= £228 - £48.50= £179.50
Therefore, Andreas has £179.50 left from his share of the money after buying the video game.
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The graphs of y=f(x) and g(x) are shown below: a: -5 and 6 b: 4 and 7 c: -3,-1, and 4 d: -3,1,3 and 5
Answers
which one of the following correctly describes a type II error?
A. The null hypothesis is rejected in error.
B. The research hypothesis is rejected in error.
C. The study was underpowered.
D. The study was not double-blinded.
E. The research hypothesis is accepted in error.
Answers
When the null hypothesis is rejected in error it is a type II error. Hence the correct answer is A.
A Type II error occurs when the null hypothesis is incorrectly rejected. In other words, a Type II error happens when we fail to reject the null hypothesis even though it is actually false.
Option B refers to rejecting the research hypothesis in error, which is a Type I error. Type I error occurs when the null hypothesis is true, but we mistakenly reject it.
Option C refers to study underpower, which means the study lacks sufficient sample size or statistical power to detect a true effect if it exists. This is not directly related to Type II error.
Option D refers to study blinding, which is a method to minimize bias in research. However, it is not specifically related to Type II error.
Option E refers to accepting the research hypothesis in error, which is again a Type I error.
Therefore, the correct description of a Type II error is "A. The null hypothesis is rejected in error."
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While doing his homework, Jordan spent 22% of his time doing math. If he spent 11 minutes on his math homework, how many minutes did he spend on his homework?
Answers
Total fifty minutes , Jordan spend on doing his homework including maths homework (11 mintues).
What is percentage?In mathematics, a percentage is a number or ratio expressed as a fraction of 100. It is often specified with the percent sign '%' . It is unitless number. We have , Jordan spent 22% of his time in doing maths homework. Let us assume Jordan has total "y" minutes for spending in his homewok.
total 22% of his homework time (i.e y) spent in doing math = 11 mint.
That is, 22% of y = 11 minutes
=> (22/100)y = 11
=> 22 y = 1100
=> y = 1100/22
=> y = 50
Hence, required total spend time in doing homework is 50 minutes .
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Skip count 89300 forward by 5000
Answers
given that the degree of the polynomial f(x) is 4, which of the following most accurately describes the number of x-intercepts that f(x) has?
Answers
Answer:
the degree of f(x) is at least 4
Step-by-step explanation:
The are of this triangle is 40cm squared. Find the value of Y
Answers
Answer:
Sorry, you didn't post an image.
Step-by-step explanation:
You can make a new question with an image.
find a number if 0.7 of it is 3.43.
Answers
It shouldn’t be a trick question just fake 3.43 minus .7!
in a two-sample hypothesis test, d0 is equivalent to the ______ in a one-sample hypothesis test. benchmark p value test statistic level of significance
Answers
In a two-sample hypothesis test, d0 is equivalent to the benchmark in a one-sample hypothesis test. The benchmark in a one-sample test is the hypothesized value for the population mean, which is being compared to the sample mean.
In a two-sample test, d0 represents the difference between the two population means that is being tested. The p value, test statistic, and level of significance are all important factors in both types of hypothesis tests, but they do not directly relate to d0 or the benchmark. The p value is the probability of observing a test statistic as extreme as the one calculated, given the null hypothesis is true. The test statistic is a numerical value used to determine whether to reject or fail to reject the null hypothesis. The level of significance is the threshold for deciding whether to reject the null hypothesis, typically set at 0.05.
In a two-sample hypothesis test, d0 is equivalent to the benchmark in a one-sample hypothesis test. In both tests, we compare the observed data with a reference value. In a one-sample test, the reference value is the benchmark, while in a two-sample test, d0 represents the hypothesized difference between the two population means or proportions. The p-value, test statistic, and level of significance are used in both types of tests to make inferences and draw conclusions about the populations being studied.
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1. Given a random measurement process (X) with a population mean μ of 12 and population standard deviation σ of 1.5, perform the following calculations while assuming that the underlying random process is Gaussian: a. Give the probability that the next measurement x
i
is between 8 and 10 (i.e., P(8
i
is greater than 13 (i.e., P(X>12) ) c. What is the precision error of this measurement process?
Answers
First, we need to standardize the values using the population mean and standard deviation:
Z1 = (8 - μ) / σ
Z2 = (10 - μ) / σ
Substituting the values:
Z1 = (8 - 12) / 1.5 = -2.67
Z2 = (10 - 12) / 1.5 = -1.33
Now, we can use a standard normal distribution table or a calculator to find the cumulative probabilities corresponding to these z-values. The probability that the next measurement xi is between 8 and 10 is given by:
P(8 < xi < 10) = P(Z1 < Z < Z2)
Using the standard normal distribution table or calculator, we find the corresponding probabilities and subtract to get the desired result.
b. To calculate the probability that the next measurement xi is greater than 13, we can follow a similar approach.
Z = (13 - μ) / σ
Z = (13 - 12) / 1.5 = 0.67
P(X > 12) = P(Z > 0.67)
Using the standard normal distribution table or calculator, we can find the probability corresponding to the given z-value.
c. The precision error of the measurement process can be represented by the standard deviation of the population (σ). In this case, the precision error is given as 1.5, which is the population standard deviation. It represents the average amount of variation or spread in the measurements from the population mean.
Write the coordinate point for the vertex of this parabola: 1,2 x=
Answers
Given:
\(x=-\frac{1}{8}y^2\)Vertex of the parabola is (0,0).