Write an equation of the line that passes through (2,−5) and is parallel to the line 2y=3x+10
Answers
Step-by-step explanation:
Divide two on both sides to get rid of it and the make the equation in the form y = mx + c
\( \frac{2}{2} y = \frac{3}{2} x + \frac{10}{2} \)
y = 3/2x + 5
since both lines are parallel they must have the same gradient which is 3/2
y = 3/2x + c
All you have to do now is to replace x and y with (2, -5) to find c
x = 2
y = -5
-5 = 3/2 × 2 + c
-5 = 3 + c
c = -5-3
c = -8
\(y = \frac{3}{2} x - 8\)
Related Questions
I need help with this!!
Answers
Good luck on ur test
Please select the correct answer from the group of answer choices for each part of the question:
1a. Consider the computing load of a sum of 100 scalar variables and one matrix subtraction of a pair of two-dimensional array with dimensions 100x100. Assume the matrix subtraction is fully parallelizable, calculate the speedup using 100 processors assuming 10 processors carry 20% of the load and the rest load is shared among the rest 90 processors evenly?
A: 101/3
B: 101/2
C: 101
D: 100
1b: For the following vector MIPS code DAXPY which performs Y=a x X+Y, fill the two blank instructions.
L.d $f1, a($sp) ;load scalar a
Lv $v0, 0($s0) ;load vector x
__________________ ;vector-scalar multiply
Lv $v2, 0($s1) ;load vector y
___________________ ;add y to product
Sv $v3, 0($s1) ; store the result
A:
mul.d $v1, $v0, $f1
add.d $v3, $v1, $v2
B:
mulvs.d $v1, $v0, $f1
addv.d $v3, $v1, $v2
C:
mul.d $v2, $v0, $f1
add.d $v3, $v1, $v2
D:
mulvs.d $v2, $v0, $f1
addv.d $v3, $v1, $v2
1c. Which of the following statement is incorrect?
A: Both multithreading and multicore rely on parallelism to get more efficiency from a chip.
B: In coarse-grained multithreading, switching between threads only happens after significant events such as last-level cache miss.
C: In fine-grained multithreading, switching between threads happens after every instruction.
D: Simultaneous multithreading (SMT) uses threads to improve resource utilization of statically scheduled processor.
1d. In the roofline model, the attainable GFLOPs/sec is set by _____?
A: Peak Memory BW x Arithmetic Intensity
B: Peak Floating-Point Performance
C: Min (Peak Memory BW x Arithmetic Intensity, Peak Floating-Point Performance)
D: Max (Peak Memory BW x Arithmetic Intensity, Peak Floating-Point Performance)
Answers
The correct answer is D: Max (Peak Memory BW x Arithmetic Intensity, Peak Floating-Point Performance).
1a. C: 101 to calculate the speedup, we need to consider the computing load distribution among the processors. In this case, 10 processors carry 20% of the load, which means each of these processors handles 2% of the load. The remaining 90 processors share the rest of the load evenly, so each processor among these 90 handles (100% - 20%) / 90 = 0.8889% of the load.
The speedup can be calculated using Amdahl's Law, which states that the speedup is limited by the portion of the program that cannot be parallelized. In this case, the matrix subtraction is fully parallelizable, so the only portion that cannot be parallelized is the sum of the scalar variables.
The speedup formula is given by: Speedup = 1 / [(1 - p) + (p / n)], where p is the portion that can be parallelized and n is the number of processors.
In this case, p = 0.02 (for the 10 processors) and n = 100. Substituting these values into the formula, we get: Speedup = 1 / [(1 - 0.02) + (0.02 / 100)] = 1 / 0.99 = 1.0101.
Therefore, the correct answer is C: 101.
1b. A:
mul.d $v1, $v0, $f1
add.d $v3, $v1, $v2
The code snippet performs the DAXPY operation, which multiplies a scalar value (a) with a vector (x) and adds the result to another vector (y). The blank instructions should be filled with the above choices.
1c. C: In fine-grained multithreading, switching between threads happens after every instruction.
In fine-grained multithreading, switching between threads happens after every instruction, which is an incorrect statement. Fine-grained multithreading allows switching between threads at a much finer granularity, such as cycle-by-cycle or instruction-by-instruction, to improve resource utilization.
1d. B: Peak Floating-Point Performance
In the roofline model, the attainable GFLOPs/sec is set by the peak floating-point performance of the processor. The roofline model is a performance model that visualizes the performance limitations of a system based on the memory bandwidth and arithmetic intensity of the code. The attainable performance is determined by the lower value between the peak memory bandwidth and the peak floating-point performance. Therefore, the correct answer is B: Peak Floating-Point Performance.
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A circle has a circumference of 6. It has an arc of length of 1. What is the central angle of the arc, in degrees?
Answers
Answer:
firstly read the length of the arc then
center angle=l/r
=1/6
=6
find the arc length of a sector with a radius of 4 feet and a central angle of 6°
Answers
Answer:
24 ft.
Step-by-step explanation:
Radius = 4 ft
Central angle = 6°
Arc length = radius × central angle
= 4 × 6°
= 24 ft.
Hannah and Anthony are siblings who have ages that are consecutive odd integers. The sum of their
ages is 92. Which equations could be used to find Hannah's age, h, if she is the older sibling?
Answers
Answer:
2h+92
Step-by-step explanation:
The equation that will represent the sum of the age of Hannah and Anthony will be 2h+2=92.
Let the age of Hannah be x. and Since the age of Hannah and Anthony are two consecutive odd integers, therefore, the age of Anthony will be (h+2).
As it is given that the sum of the ages of the two other person is 92, therefore, the equation that will represent the sum of the age of the two persons can be written as, 2h+2=92
Thus, the equation that will represent the sum of the age of Hannah and Anthony will be 2h+2=92.
One recipe calls for 1/3 cup of flour per batch and the other calls for 1/2 per batch. How much flour will Marcy use if she makes 12 batches for each type of cookie?
Answers
Answer:
The answer would be 10 cups
Step-by-step explanation:
We have 1/3 cup per patch for twelve batches for one recipe.
1/3(12)=4
And we have 1/2 cup for each recipe for another twelve batches.
1/2(12)=6
We add these two....
6+4=10
Therefore, Marcy uses ten cups of the flour.
I hope this helps!
A fireman’s ladder leaning against a house makes an angle of 62 with the ground. If the ladder is 3 feet from the base of the house, how long is the ladder?
Answers
In the given scenario ladder is 6.52 feet long.
Given that,
The angle between ground and ladder = 62 degree
The distance of ladder from ground and ladder = 3 feet
We have to find the length of ladder.
Since we know that,
The trigonometric ratio
cosθ = adjacent/ Hypotenuse
Here we have,
Adjacent = 3 feet
Hypotenuse = length of ladder
Thus to find the length of ladder we have to find the value of hypotenuse.
Therefore,
⇒ cos62 = 3/ Hypotenuse
⇒ 0.46 = 3/ Hypotenuse
⇒ Hypotenuse = 3/0.46
= 6.52
Thus,
length of ladder = 6.52 feet.
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Mason needs to order some new supplies for the restaurant where he works. The restaurant needs at least 637 glasses. There are currently 343 glasses. If each set on sale contains 6 glasses, use the drop-down menu below to write an inequality representing ss, the number of sets of glasses Mason should buy.
Answers
The inequality used to represent this situation is 6x + 343 ≥ 637
Inequality is an expression that shows the non equal comparison of two or more numbers or variables.
Let x represent the number of set of glasses. If each set on sale contains 6 glasses, the inequality used to represent this situation is:
6x + 343 ≥ 637
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Answer:
s ≥ 49
Step-by-step explanation:
Name the line of reflection.
Answers
Answer:
y=0
Step-by-step explanation:
what is the inverse of f(x) = 1/3 x + 2
A. h(x) = 1/3 x + 3
B. h(x) = 1/3 x - 2
C. h(x) = 3x -2
D. h(x) = 3x - 6
Answers
if we are taking the same eduinuity quiz then this is the correct answer
Answer: D.h(x)=3x-6
i hope this helps cause i'm doing the assingment rn
after the equal employment opportunity commission (eeoc) completes its investigation in an employment discrimination case, _____.'.
Answers
After the EEOC completes its investigation in an employment discrimination case, the outcomes can include resolution attempts, lawsuits, or issuing a Notice of Right to Sue to the complainant.
After the Equal Employment Opportunity Commission (EEOC) completes its investigation in an employment discrimination case, several outcomes are possible:
The EEOC may find reasonable cause to believe that discrimination has occurred. In this case, they may attempt to resolve the matter through informal methods such as mediation or settlement negotiations. If these efforts fail, the EEOC may file a lawsuit against the employer on behalf of the aggrieved individual(s).
If the EEOC does not find reasonable cause, they will issue a Notice of Right to Sue to the individual who filed the complaint. This allows the individual to pursue a lawsuit against the employer independently.
In some cases, the EEOC may determine that further investigation is needed, and they may request additional information or evidence from both the complainant and the employer.
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what justifies the use of the normal distribution for the sampling distribution of the proportion?
Answers
The ability of the normal distribution to approximate the binomial distribution under appropriate conditions justifies the use of the normal distribution for the sampling distribution of the proportion.
A sampling distribution is a statistical probability distribution derived from a larger number of samples gathered from a certain population. The sampling distribution of a particular population is the distribution of frequencies of a range of possible outcomes for a population statistic.
A population is the whole pool from which a statistical sample is selected in statistics. A population can be defined as a large group of people, things, events, medical visits, or measures. A population can thus be defined as an aggregate observation of persons linked by a common trait.
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GMU uses a robot food delivery service which now has been utilized in the City of Fairfax. One of the potential benefits of this service is to help the busiest students eat breakfast. Research has shown that about 80% of college students skip breakfast due to busy schedules and other reasons. Initial data were collected from a random sample of 595 Mason students who utilize the robot food delivery service and are presented in StatCrunch
b) Define the population parameter in context in one sentence.
c) State the null and alternative hypotheses using correct notation.
Answers
b) The population parameter in this context is the proportion of all Mason students who skip breakfast due to busy schedules and other reasons. c) The null and alternative hypotheses can be stated as H0: p = 0.8, Ha: p < 0.8.
where p represents the population proportion of Mason students who skip breakfast due to busy schedules and other reasons. The null hypothesis states that the proportion of students who skip breakfast is equal to 0.8, while the alternative hypothesis states that it is less than 0.8. This is a one-tailed test as we are interested in the proportion being less than 0.8. The significance level of the test needs to be specified in order to carry out hypothesis testing.
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Is 22 + 32 = 42 a true statement?
Answers
False because 22 + 32 =54
Answer:
No. 22+32=54
Step-by-step explanation:
Each square on a grid represents 1 unit on each side. Match the numbers with the slopes of the lines.
50 POINTS + BRAINLY FOR CORRECT ANSWER!!!
Answers
Graph 2: -3
Graph 3: 1/3
Graph 4: -1/3
Answer
Graph 1 = 1/3 slope
Graph 2 = -1/3 slope
Graph 3 = 3 slope
Graph 4 = -3 slope
I found these by counting rise over run,
or y/x to points on the line that cross the x or y axis.
The graphs that have a line that go up from left to right are positive slopes
The graphs that have a line that go down from left to right are negative slopes
Problems solved!
you are ordering shirts for a club at your school. the function f(x)=8x+12 represents the cost of ordered x shirts how much would it cost to buy 32 shirts
Answers
The cost of ordering shirts for a club is 268 units.
Define Function.
A function, according to a technical definition, is a relationship between a set of inputs and a set of possible outputs, where each input is connected to precisely one output.
This means that a function f will map an object x exactly to one object f(x) in the set of possible outputs if the object x is in the set of inputs (called the codomain).
The statement that f is a function from X to Y using the function notation f: X→Y
The function that represents the cost of the shirts(x) is f(x) = 8x+12
Now, for x = 32
f(x) = 8x+12
f(32) = 8(32) + 12
= 256 +12
f(32) = 268 units
.
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A recipe uses 40 g of chocolate chips and 150 g of flour,
What is the ratio of chocolate chips to flour in its simplest form?
Answers
Answer:
4/15
Step-by-step explanation:
\( \frac{40}{150} = \frac{4}{15} \)
The net of a square pyramid is shown below: Net of a square pyramid showing 4 triangles and the square base. The square base has side lengths of 2 inches. The height of each triangle attached to the square is 3 inches. The base of the triangle is the side of the square. What is the surface area of the solid? (5 points) 16 square inches 24 square inches 28 square inches 32 square inches
Answers
4(3)(2)/2 + 2² = 12 + 4 = 16
Nathan invested $75,000 in an account paying an interest rate of 6. 8% compounded
continuously. Assuming no deposits or withdrawals are made, how long would it
take, to the nearest tenth of a year, for the value of the account to reach $182,800?
Answers
Assuming no deposits or withdrawals are made, the time it would take for the value of the account to reach $182,800 is 13.5 years.
Compound interest refers to the amount of interest added on the principal amount plus interest. The formula for compound interest is:
B = P(1 + r/n)^t
where B is the ending balance, P is the principal amount or original balance, r is the interest rate in decimal form, n = number of times interest is compounded monthly, and t is the time in number of months
Based on the given information, t is the unknown and
B = $182,800
P = $75,000
r = 6.8% = 0.068
n = 1
Plug in the values and solve for the time it would take for the value to reach $182,800.
B = P(1 + r/n)^t
$182,800 = $75,000(1 + 0.068/1)^t
$182,800 = $75,000(1.068)^t
(1.068)^t = $182,800 / $75,000
(1.068)^t = 914/375
t = 13.5 years
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The height of a doorway is 3 yards. What is the height of the doorway in inches? 1 yard = 36 inches
Answers
Answer:
108
Step-by-step explanation:
3*36=108
Answer:
108
Step-by-step explanation:
36x3
A set of 3 cards, spelling the word ADD, are placed face down on the table. Determine P(A, D) if two cards are randomly selected with replacement.
Answers
The probability of P(A, D) if two cards are randomly selected with replacement is 1/9.
What is probability?The probability of an occurrence is a number used in science to describe how likely it is that the event will take place. In terms of percentage notation, it is expressed as a number between 0 and 1, or between 0% and 100%. The higher the likelihood, the more likely it is that the event will take place. A certain occurrence has a chance of 1, while an impossible event has a probability of 0.
P(A) = Number of favorable outcomes / Total number of possible outcomes
P(A) = 1/3
The probability of selecting two cards that have A and A with replacement is,
P(A, A) = P(A) × P(A)
P(A, A) = 1/3 × 1/3
P(A, A) = 1/9
Hence, the probability of P(A, D) if two cards are randomly selected with replacement is 1/9.
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On a coordinate plane, a straight red line with a negative slope, labeled g of x, crosses the y-axis at (0, negative 7). A straight blue line with a positive slope, labeled f of x, crosses the x-axis at (negative 1, 0) and the y-axis at (0, 2). Both lines intersect at (negative 3, negative 4). Which statement is true regarding the functions on the graph? f(–3) = g(–4) f(–4) = g(–3) f(–3) = g(–3) f(–4) = g(–4)
Answers
Answer:
f(-3) = g(-3)
Step-by-step explanation:
We know that f(x) = g(x) where the two graphs intersect
f(-3) = g(-3)
Answer:
f(-3) = g(-3)
Step-by-step explanation:
did on edguniuty
Plz help!!!!
Josh conducted an experiment with the bag of
marbles shown below. He will draw a marble out of the bag, record the result, return the marble to the bag, and draw another marble, continuing the process.
If he completes this process 600 times, about how many
times should he expect to draw a striped marble?
A.Approximately 400 times
B.Approximately 250 times
C.Approximately 200 times
D.Approximately 150 times
Answers
Answer:
Step-by-step explanation:
There are 12 marbles in total with three of them being striped. The chance of pulling out a striped marble is 3/12 which can be reduced to 1/4. And 1/4 of 600 is 150.
Help me please i am stuck
Answers
To find the length of x, add the opposite side. The opposite side is made up of:
4cm + 7 cm = 11cm
Find the value of x.
Answers
Answer:
57?
Step-by-step explanation:
I'M NPT SURE IF IT'S CORRECT but I added them both and subtracted 180
what is x and measure b? please help:)
Answers
Answer: x= 22.5, angle B = 67.5
Step-by-step explanation:
90+3x+x= 180
4x = 90
x=22.5
3(22.5)= 67.5
Answer:
x = 22.5° B = 67.5
Step-by-step explanation:
90° + 3x° + x° = 180°
4x = 90°
x = 22.5°
suppose that 4% of the patients tested in a clinic are infected with avian influenza. furthermore, suppose that when a blood test for avian influenza is given, 98% of the patients infected with avian influenza test positive and that 1% of the patients not infected with avian influenza test positive. what is the probability that a patient testing positive for avian influenza with this test is infected with avian influenza?
Answers
The probability that a patient testing positive for avian influenza with this test is actually infected with avian influenza is approximately 0.803 or 80.3%
To determine the probability, we can use Bayes' theorem. Let's assume that we have 10,000 patients tested. Out of these, 4% (or 400) patients will be infected with avian influenza, and the remaining 96% (or 9,600) will not have the infection.
Out of the 400 infected patients, the test will correctly identify 98% of them, which is 392 patients. However, there will be a false positive rate of 1% among the 9,600 non-infected patients, which is 96 patients.
So, the total number of patients testing positive will be 392 + 96 = 488. Out of these, 392 patients are truly infected, which gives us the probability of a patient testing positive being infected as 392/488 ≈ 0.803.
Therefore, the probability that a patient testing positive for avian influenza with this test is actually infected with avian influenza is approximately 0.803 or 80.3%.
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help now, i will give brainliest.
Answers
hello please asappp!! thank you soo much!
Answers
Answer:
I am thinking its 28 degree Fahrenheit
Answer:
28F
Step-by-step explanation:
T(march)-T(january)=38F
T(january)=-10F
T(march)-(-10F)=38F
T(march)=38F-10F=28F
A researcher carried out a hypothesis test using a two-tailed alternative hypothesis. Which of the following z-scores is associated with the smallest p-value?
a. z = 0.39
b. z = 1.35
c. z = -2.38
d. z = -3.24
Answers
The smallest p-value is always associated with the z-score that is furthest away from the mean. This is because the tails of the normal distribution curve have less area and thus represent smaller p-values. The correct answer is option (d) z = -3.24.
In a hypothesis test, there are two hypotheses: the null hypothesis (H0) and the alternative hypothesis (H1).
The null hypothesis is the one we're testing, while the alternative hypothesis is the one we're trying to support or prove.
A two-tailed alternative hypothesis is one in which we are interested in whether a parameter is not equal to a certain value, as opposed to one-tailed alternative hypotheses, in which we are interested in whether the parameter is greater than or less than a certain value.
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