A common notation for naming vectors is: if the vector starts at point A and ends at point B, the vector is called B-A.
Using this notation, solve each problem.
3)
Name: H-G
By counting the units to the left and to the right, we can write down H-G in component form:
\(H-G=5\hat{i}+4\hat{j}\)Where the unitary vectors i and j are used to indicate the horizontal rightwards and vertical upwards directions.
Proceed similarly to answer problems 4 and 5.
4)
Name: S-V
Component form:
\(S-V=-2\text{ }\hat{i}\text{ + 3 }\hat{\text{j}}\)5)
Name: D-J
Component form:
\(D-J=0\text{ }\hat{i}\text{ - 4 }\hat{\text{j}}\)Bravin's taxable income is
$57,868. He is filling as single, and he has already paid $8,230 in federal taxes. What
will he receive or pay after he figures his taxes for the year?
Round answer to a whole number. If he will owe money then enter your answer with
a negative sign in front of it. If he will receive money then no sign should be included
in your answer. Be sure to attach supporting work in order to receive credit for your
answer.
Since Braving's taxable income is $57,868 and he has already paid $8,230 in federal taxes, he will pay an additional $293 after he figures out his taxes for the year.
What is the taxable income?The taxable income is the difference between gross earnings and taxable deductions.
Withholding taxes represent the amount out of the year's tax liability paid by the taxpayer.
If the withheld taxes are greater than the assessed tax liability the taxpayer is entitled to a refund. Otherwise, the taxpayer pays an additional amount to settle their tax liability for the year.
Bravin's taxable income = $57,868
Assessed tax liability = $8,523
Amount already paid = $8,230
Additional tax to be paid = $293 ($8,523 - $8,230)
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Please help, thank you!! Will mark brainliest!!
Answer:
(-x,y) To (x,-y)
Step-by-step explanation:
Explain to me and give me the answer explain using words or drawings how to write 6/9 in simplest form
Answer:
\(\frac{2}{3}\)
Step-by-step explanation:
You just need to find what both the numerator and denominator are divisible by, which in this case is 3. Then you divide both top and bottom by 3 to get two-thirds.
\(\frac{6}{9}\) ÷\(\frac{3}{3}\)=\(\frac{2}{3}\)
Find the rule for the function: input is 1 and output is 3, input is 2 and output is 7, input in 3 and output is 11
Answer:
the rule is 4 I believe
Step-by-step explanation:
for every input, the output increases 4
HURRY UP PLS SOMEBODY I WILL GIVE BRANLIEST THIS IS DUE BY THE END OF THE PERIOD PLS
Triangle ABC is a right triangle.
m∠A=5x°
m∠B=(3x−4)°
m∠C=90°
What is the value of x?
Answer:
The value of x is 11.75⁰
Step-by-step explanation:
The sum of the angles in a triangle is 180⁰.
Since angle C is 90⁰, the sum of angles A and B is 90⁰.
A + B = 90⁰
5x + (3x - 4) = 90
8x = 90 + 4
8x = 94
x = 94/8
x = 11.75⁰
Therefore,
angle A is 58.75⁰ and
angle B is 31.25⁰
find the GCF using continuous division 8 30 42
Answer: 2/8 30 42
1/3 4 5
/3 4 5
Ayan po ang sagot
at paki heart nlg po :)
salamat
A copy machine makes 184 copies in 5 minutes and 45 seconds. How many copies does it make per minute?
the sun was shining on the sea/shining with all his might
two figurative languages
Answer:
Im confused on what your asking
Step-by-step explanation:
John gets his first job working at an ice cream shop because he loves ice cream. He gets paid $9 per hour. Create a table to demonstrate how much money John will make from 0 - 6 hours. Let x equal the number of hours worked, and let y equal the amount of money that he will make. Then, create a graph with your results.
Answer:
1hr: $9
2hr: $18
3hr: $27
4hr: $36
5hr: $45
6hr: $54
Step-by-step explanation:
You can use Desmos, the graphing calculator (online tool)
Please help need asap
Answer:
Option A 12x^4 + 12x^3 + 26x^2 + 8x + 12
Step-by-step explanation:
1) Find area of Shape A
(3x^2 + 2) (7x^2 + 4x + 8)
With distribution method, you get
21x^4 + 12x^3 + 38x^2 + 8x + 16
2) Find area of shape B
(3x^2 + 2) (3x^2 + 2)
With distribution method, you get
9x^4 + 12x^2 + 4
3) Subtract area of Shape B from Shape A
21x^4 + 12x^3 + 38x^2 + 8x + 16
-9x^4 -12x^2 -4
---------------------------------------------------
12x^4 + 12x^3 + 26x^2 + 8x + 12
The scheduled commuting time on the MTA Marc train from BWI to DC is 65 minutes. Suppose that the actual commuting time is uniformly distributed between 64 and 74 minutes. What is the probability that the commuting time will be less than 70 minutes
Answer:
60% probability that the commuting time will be less than 70 minutes
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability that we find a value X lower than x is given by the following formula.
\(P(X < x) = \frac{x - a}{b-a}\)
Suppose that the actual commuting time is uniformly distributed between 64 and 74 minutes.
This means that \(a = 64, b = 74\)
What is the probability that the commuting time will be less than 70 minutes
\(P(X < 70) = \frac{70 - 64}{74 - 64} = 0.6\)
60% probability that the commuting time will be less than 70 minutes
How is the answer the "Which of the following inequalities will require
the inequality symbol to be reversed when solving?
A −6x + 7 > −5 B 2x − 10 < 18
C 0.5x + 15 > 1 D 14x − 2 < 12" D 14x - 2 < 12
The equivalent inequality to 7 > -3x > -12 is -7/3 < x < 4.
What is inequalities ?
In mathematics, inequalities are statements that describe the relationship between two values or expressions. An inequality uses mathematical symbols to indicate whether one value is greater than, less than, or equal to another value.
solution :
7 > -3x
-3x > -12
For the first inequality, we can start by isolating the variable x by dividing both sides by -3, but we need to flip the inequality sign since we are dividing by a negative number:
7/(-3) < x
-7/3 < x
For the second inequality, we can also divide both sides by -3, but we need to flip the inequality sign again:
-3x/(-3) < -12/(-3)
x > 4
Putting these two inequalities together, we get:
-7/3 < x < 4
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Mr. king used 16 gallons of gas in 6 days. Circle any of the following that describes the average amount of gas Mr. King used per day? (Sorry forgot options, also my math teacher gave me a hint about 3 answers)
Which correctly shows the rational expression
after applying the long division method?
The expression that correctly shows the rational expression after applying the long division method is the quotient plus any remainder, if present.
When applying the long division method to a rational expression, we need to first check if the expression is in the correct format. The numerator must have a degree equal to or higher than the denominator.
Then, we divide the first term of the numerator by the first term of the denominator, which gives us the first term of the quotient. We then multiply the denominator by the first term of the quotient and subtract it from the numerator.
This gives us a new numerator, which we then repeat the process with until we reach a remainder of zero or a numerator with a lower degree than the denominator. The result of this process is the quotient, and any remaining terms become the remainder.
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Answer:
\(\textsf{A.} \quad 2x+\dfrac{-4x+1}{x^2+2}\)
Step-by-step explanation:
To divide polynomials using the method of long division we should:
Divide the first term of the dividend by the first term of the divisor and put that in the answer.Multiply the divisor by that answer, put that below the dividend and subtract to create a new polynomial.Repeat until no more division is possible.Write the solution as the quotient plus the remainder divided by the divisor.Given rational expression:
\(\dfrac{2x^3+1}{x^2+2}\)
The dividend is the polynomial which has to be divided: 2x³ + 1.
The divisor is the polynomial by which the dividend is divided: x² + 2.
Therefore:
\(\large \begin{array}{r}2x\phantom{+...}\phantom{)}\\x^2+2{\overline{\smash{\big)}\,2x^3+\phantom{www}1\phantom{)}}}\\{-~\phantom{(}\underline{(2x^3+4x)\phantom{)))..}}\\-4x+1\phantom{)}\end{array}\)
As no more division is possible, we can write the solution as the quotient plus the remainder divided by the divisor.
The quotient is the result of the division: 2x.
The remainder is the part left over: -4x + 1.
Therefore the solution is:
\(\boxed{2x+\dfrac{-4x+1}{x^2+2}}\)
For each pound there are 16 ounces.
Write an equation to express the total number of ounces (Z) in (Y) pounds.
Answer:
Z = 16Y
For instance, let's say we want to know how many ounces there are in 2 pounds.
We'd enter in Z = 16(2). This would be simplified to Z = 32. Now, we know that there are 32 ounces in 2 pounds.
place the steps to sketch the graph of a rational function in the appropriate order
The steps to sketch the graph of a rational function in the appropriate order is in the order: 1,4,2,3
The steps to sketch the graph of a rational function will be first to find the function's zeros and vertical asymptotes, and plot them on a number line, the second step is to choose test numbers to t the left and right of each of these places, and find the value of the function at each test number., the third step is to use test numbers to find where the function is a positive and where it is negative and the last step is to sketch the function's graph, plotting additional points as guides as negative.
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Place the steps to sketch the graph of a rational function in the appropriate order.
1)find the function's zeros and vertical asymptotes, and plot them on a number line.
2) use test numbers to find where the function is positive and where it is negative.
3) sketch the function's graph, plotting additional points as guides as negative.
4)choose test numbers to t the left and right of each of these places, and find the value of the function at each test number.
AP TEST QUESTION 1
PLEASE HELP
ILL GIVE BRAINLIST ANSWER
IMAGE ABOVE
On solving the provided question we can say that - from the graphs n f (x) and g( x) are 1 and 5 .
What is graphs?Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph
by graphs of the function f (x) and g( x).
\(lim f ( x) + lim g ( x )\\= -1 + 2 = 1\\ f ( -1 ) + lim g ( x)\\= 3 + 2\\= 5\)
from the graphs n f (x) and g( x) are 1 and 5 .
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A hubcap has a radius of 11 centimeters. What is the area of the hubcap? Round your answer to the nearest hundredth. Use 3.14 for π.
Answer:
379.94 cm 2
Step-by-step explanation:
jackson is conducting an experiment for his physics class. he attaches a weight to the bottom of a metal spring. he then pulls the weight down so that it is a distance of six inches from its equilibrium position. jackson then releases the weight and finds that it takes four seconds for the spring to complete one oscillation. Which function best models the position of the weight?a. s(t) = 6cos(2πt)b. s(t) = 6sin(π/2 t)c. s(t) = 6sin(2πt)d. s(t) = 6cos (π/2 t)
6 cos(π/2 t) is the best model for the position of the weight.
The motion of the weight on the spring can be modeled by a sine or cosine function because it oscillates back and forth around its equilibrium position.
We know that, the weight is initially pulled down 6 inches from its equilibrium position, so the function should have an amplitude of 6.
The time it takes for the spring to complete one oscillation is 4 seconds, so the period of the function is 4 seconds.
The general form of a sine or cosine function with amplitude A and period T is:
f(t) = A sin(2πt/T) or f(t)
= A cos(2πt/T)
Substituting the given values,
we get:
f(t) = 6 sin(2πt/4) or f(t)
= 6 cos(2πt/4)
Simplifying, we get:
f(t) = 6 sin(π/2 t) or f(t)
= 6 cos(π/2 t)
Therefore,
the function that best models the position of the weight is
s(t) = 6 cos(π/2 t).
So, the answer is option (D).
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Jack and Cameron are playing a game of paper football by the rules you can score a five point touchdown or seven in the game there have been 13 touchdowns scored for a total of 71 points how many of these touchdowns were seven point touchdowns
Answer:
3 seven point touchdowns
Step-by-step explanation:
x=5 pointn
y=7point
x+y=13
5x+7y=71
solve
multiply first equaiton by -5 and add
-5x-5y=-65
5x+7y=71 +
0x+2y=6
2y=6
divide 2
y=3
sub
x+y=13
x+3=13
x=10
10 five point touchdowns
3 seven point touchdowns
Mrs alvares rents skis and poles for 3 days what is the total cost of rental
The total cost of rents is $180.
In the given table,
The cost of skis per day = $48
The cost of pole per day = $12
Now since given that,
Alveres rents for 3 days
Therefore,
The cost of skis for 3 days = $48 x 3
= $144
The cost of pole for 3 days = $12 x 3
= $36
To find the total cost of rental,
Adding the cost of 3 days of skis and cost of 3 days of poles,
Hence,
Total cost of rents = $144 + $36
= $180
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Find the equation that matches the following table.
X Y
-3 4
0 2
3 0
Answer:
In order to find out the equation of liner function first of all u need to find the slope of it (a) then put it in general form of liner functions, afterwards put desire point of x,y table in equation to find the b.
form of liner function : y= ax+b
step 1. finding the slope
\(a = \frac{y1 - y2}{x1 - x2} \)
for example I'll put (-3,4) and (0,2) to this formula,
the slope would be -2/3
step2. finding the b
put a desire point of x,y table for example (3,0)
0 = -2/3 × 3 + b
b would be 2
so the equation is y= -2/3x + 2
Dalia used a balancing move to begin to solve the
equation below.
6x + 12 = 10x - 4
The result of Dalia's first step was 12 = 4x – 4.
Describe the first step Dalia made to solve the equation.
1. Find the area of the composite figure below. Make sure you show your work neatly for full
credit.
(3.5)
18 in.
18 in.
9 in.
36 in.
18 in.
The calculated area of the composite figure is 85 cm².
How to calculate the the area of the composite figureFrom the question, we have the following parameters that can be used in our computation:
The composite figure (see attachment)
Where, we have
Rectangle:
Area = length × width.
Therefore, the area of the rectangle is 10 cm × 6 cm = 60 cm².
Triangle:
Area = (1/2) × base × height.
Therefore, the area of the triangle is (1/2) × 5 cm × 10 cm = 25 cm².
To find the total area of the composite figure, we add the areas of the rectangle and the triangle:
Total Area = Area of Rectangle + Area of Triangle
= 60 cm² + 25 cm²
= 85 cm².
Therefore, the area of the composite figure is 85 cm².
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Please help , I have the picture and everything (worth 10 points) but don’t be on no bs .
Answer:
i think its the firt one
Step-by-step explanation:
Answer:
answer a
Step-by-step explanation:
Work out the percentage change to 2 decimal places when a price of £8.95 is increased to £10.
pls give simple working out :)
Answer:
The percent increase is 11.73
Solution
£8.95 is increased to £10
Percentage change: [ \(\frac{10 - 8.95}{8.95}\) x 100 ] %
Percentage change: ( \(\frac{1.05}{8.95}\) x 100 ) % =
11.73.
Thus your answer is:
11.73
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What is the total weight of the bags that weighed /8 pound each?
The total weight of Rice that Mark buys is given as follows:
2.5 pounds.
How to obtain the total weight?The total weight of Rice that Mark buys is obtained applying the proportions in the context of the problem.
The weight of each bag is given as follows:
5/8 pounds = 0.625 pounds.
The number of bags is given as follows:
4 bags.
Hence the total weight of Rice that Mark buys is given as follows:
4 x 0.625 = 2.5 pounds.
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10^7+9+1^3 helppp meeee
Answer:
10000010
Step-by-step explanation:
10^7 is 10000000 plus 9 plus 1^3 which is 1.
10000000+9+1=10000010
Answer:
10000010
Step-by-step explanation:
Lets break down this problem. 10^7 is equal to 10000000 because the exponent is 7 so we add 7 zeros at the end of 1. 1^3 is equal to 1 because any 1 to the power of a positive integer is 1. So, the equation becomes 10000000+9+1 which is equal to 10000010.
Given a data set of all positive values, if the largest value of a data set is doubled, which of the following is not true?
a) The mean increases.
b) The range increases.
c) The interquartile range increases.
d) The standard deviation increases.
When the largest value of a data set is doubled, c) The interquartile range increases.
What is the interquartile range?The average of the numbers is the mean. Calculating is simple: add up all the numbers, then divide by the total number of numbers. When the sample maximum and minimum are subtracted, the range of a set of data is the difference between the largest and smallest values. It uses the same units as the data to express itself.
A high standard deviation in a normal distribution denotes that values are typically far from the mean, while a low standard deviation denotes that values are grouped closely around the mean.
The difference between the third and the first quartile is defined by the interquartile range. The partitioned values known as quartiles divide the entire series into four equally sized segments. There are thus three quartiles.
Find the median (middle value) of the lower half and upper half of the data before calculating the interquartile range (IQR). Quartile 1 (Q1) and Quartile 3 are these values (Q3). The IQR represents the variation between Q3 and Q1.
In this case, there'll be an increase in the IQR. Therefore, the correct option is C.
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Alex is buildling a ramp for his tree house.What will be the length of his wooden ramp