If we have the x and y components of a vector, the trigonometry function that can be used to determine its angle relative to the x-axis is cosine function.
For given question,
Let α be an angle between vector a and vector b.
The angles between two vectors is given by,
cos(α) = [tex]\frac{\vec a . \vec b}{|\vec a | | \vec b|}[/tex]
The x component of vector is usually denoted by [tex]\vec i[/tex]
Let vector be [tex]x\vec i + y\vec j[/tex]
Let [tex]\vec a=\vec i, ~ \vec b=x\vec i + y\vec j[/tex]
[tex]\vec a . \vec b=x[/tex]
[tex]|\vec a|=1[/tex]
[tex]|\vec b|=\sqrt{x^2+y^2}[/tex]
So, the angle between the vector and x-axis is [tex]cos^{-1}(\frac{x}{\sqrt{x^2+y^2} } )[/tex]
Therefore, if we have the x and y components of a vector, the trigonometry function that can be used to determine its angle relative to the x-axis is cosine function.
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Choose the numbers that are equivalent to three and two ninths. twenty-nine ninths, 3.2 repeating where the 2 is repeating, 322.2 repeating percent where the 2 is repeating twenty-nine ninths, 3.29, 329% six ninths, 3.2 repeating where the 2 is repeating, 322.2% six ninths, 3.29, 329%
Answer: D
Step-by-step explanation:
i did the test
Ella's bait and tackle shop sold 128,107 live worms in april and 102,278 live worms in may to the nearest thousand how many worms did ella's bait and tackle shop sell in april and may together
Ella's bait and tackle shop sells 230,385 in April and May.
Based on the given conditions, formulate:
Bait and tackle sold in 128,278 live worms in April
Bait and tackle sold in 102,278 live worms in May
So the total number of Bait and tackles sold in April and May =
=128,107+102,278
= 230,385
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Dorothy earns a regular hourly rate of $15.25 and earns double time and a half for weekend work. Dorothy worked her normal 40 hours and 8 weekend hours.
Answer:$976
Step-by-step explanation:
Assume that a company takes 4,500 hours to produce 15,000 units of a product. what is the cycle time for the company? (note: round answer to two decimal places.)
The cycle time for the company is 3.
What is unitary method ?Unitary method is a mathematical technique for first finding value of a single unit then determining the any value according to the given question.
According to the given question a company takes 4,500 hours to produce 15,000 units of a product we have to find the cycle time for the company which we can easily determine by using unitary method.
Given the company takes 4,500 hours to complete 15000 units
∴ In one hour he company can make 15000/4500 units which is
= 3 units per hour.
So the cycle time for the company is 3 units per hour.
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Suppose a particle is moving along the x-axis so that it’s position at time t is given by the formula:
s(t)=2t^2 -t + 3t^1/3
Find the particle’s velocity and acceleration at time, t=1.
Answer: It should be 4
Step-by-step explanation:
Just plug in 1 for t, t=1
What's the GCF of 30,60 and 78
Answer:
6
Step-by-step explanation:
Answer: 6
Step-by-step explanation:
First, take the prime factorization of all 3 numbers.
30: 15*2 ==> 5*3*2
60: 30*2 ==> 15*2*2 ==> 5*3*2*2
78: 39*2 ==> 13*3*2
Notice any common factors? That's the GCF.
GCF: 3*2=6
GCF: 6
8th grade Mathematics
A line has a slope of -3 and a y-intercept of 3.
What is the slope of the line?
O. -9
O. -1
O. 1
O. 9
I appreciate all of your answers even if they are wrong, thanks!! :)
Answer:
1
Step-by-step explanation:
Write the equation for the horizontal line that contains point G(4, 8).
Oy=8
O x = 8
O x = 4
O y = 4
Answer:
y = 8
Step-by-step explanation:
A horizontal line will have the form y = k where k is a constant and determines the distance from the x axis. All points on this line will have a constant y value for all x values
Since the line passes through (4,8) we have y = 8 as the equation for the line
Enjoys town about 33 out of 100 cats are black if joe walks by 21 cats in one week predict how many of those cats are black
If joe walks by 21 cats in one week then 7 cats are black.
Percentage can be defined as a ratio that is expressed as fraction of 100.
For Example , 1%= 1/100
Given that Joe's town there are 33 black cats
Total cats = 100.
The percentage of black cats in town =[tex]\frac{33}{100}[/tex]=33%
Number of cats joe sees in a week =21
Number of black cats joe sees in a week will be = 33% of 21
[tex]=21*\frac{33}{100} \\ \\ =\frac{693}{100} \\ \\ =6.93\\ \\[/tex]= approx. 7
Therefore , If joe walks by 21 cats in one week then 7 cats are black.
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The branch of statistical studies called descriptive statistics summarizes important aspects of a data set. True or false?.
Yes, The branch of statistical studies called descriptive statistics summarizes important aspects of a data set.
Here,
We have to find the statement,
''The branch of statistical studies called descriptive statistics summarizes important aspects of a data set.'' is true or not.
What is Descriptive statistics?
Descriptive statistics is a means of describing features of a data set by generating summaries about data samples.
Now,
The branch of statistical studies called descriptive statistics summarizes important aspects of a data set.
Because : Descriptive statistics refers to the summary of important aspects of a data set.
Hence, The statement ''The branch of statistical studies called descriptive statistics summarizes important aspects of a data set.'' is true.
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He said "l travel a lot in my job change into i direst speech
Step-by-step explanation:
the ratio between two circles vqjoizxcvu g çm
(-13,2)(-17,9) find the slope of the line through each pair of points
Work Shown:
[tex](x_1,y_1) = (-13,2) \text{ and } (x_2,y_2) = (-17,9)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{9 - 2}{-17 - (-13)}\\\\m = \frac{9 - 2}{-17 + 13}\\\\m = \frac{7}{-4}\\\\m = -\frac{7}{4}\\\\[/tex]
A slope of -7/4 means that we move down 7 and to the right 4.
Is height discrete or continuous data? Give a reason for your answer.
please help
Answer: Continuous data
Step-by-step explanation:
E. Sketch the graph of the following functions. Make a table of values.
The table for each function is presented below and its graphs are attached in this answer.
Function 1
x 3x-5
-2 -11
-1 -8
0 -5
1 -2
2 1
Function 2
x -x+3
-2 5
-1 4
0 3
1 2
2 1
Function 3
x x²-2x+1
-2 9
-1 4
0 1
1 0
2 1
Function 4
x -3x²+1
-2 -11
-1 -2
0 1
1 -2
2 -11
Linear Function
An equation can be represented by a linear function. The standard form for the linear equation is: ax+b , for example, y=7x+2. Where:
a= the slope. It can be calculated for [tex]a=\frac{\Delta y}{\Delta x}[/tex] .
b= the constant term that represents the y-intercept.
For solving this question, you should plot the points from the given equation and after that draw a line.
What is a Quadratic Function?The quadratic function can represent a quadratic equation in the Standard form: ax²+bx+c=0 where: a, b and c are your respective coefficients. In the quadratic function the coefficient "a" must be different than zero (a≠0) and the degree of the function must be equal to 2.
Function 1First column represents the value of x and the second column represents the value of the function for each value of x
x 3x-5
-2 -11
-1 -8
0 -5
1 -2
2 1
See the figure graph1.
Function 2First column represents the value of x and the second column represents the value of the function for each value of x
x -x+3
-2 5
-1 4
0 3
1 2
2 1
See the figure graph2.
Function 3First column represents the value of x and the second column represents the value of the function for each value of x
x x²-2x+1
-2 9
-1 4
0 1
1 0
2 1
See the figure graph3.
Function 4First column represents the value of x and the second column represents the value of the function for each value of x
x -3x²+1
-2 -11
-1 -2
0 1
1 -2
2 -11
See the figure graph4.
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210 sticks of gum each stick sold for 50 cents how much money did i make
A small town has two local high schools. High School A currently has 850 students and is projected to grow by 75 students each year. High School B currently has 1000 students and is projected to grow by 65 students each year. Let AA represent the number of students in High School A in tt years, and let BB represent the number of students in High School B after tt years. Write an equation for each situation, in terms of t,t, and determine which high school is projected to have more students in 11 years.
Answer:
For High School A, let denote the number of students after years. Define analogously.
Then and .
After 6 years the number of students in both high schools would be the same.
Step-by-step explanation:
For High School A, let denote the number of students after years. Define analogously.
Since we start out at 850 students at High School A and it is growing by 35 students every year, we must have that .
Since we start out at 700 students at High School B and it is growing by 60 students every year, we must have that .
Setting the two equations equal to each other, we see that
So after 6 years the number of students in both high schools would be the same.
find the cumulative frequency
We get the cumulative frequency as:
3
7
13
22
29
36
37
We are given the data:
Daily Low(°F) Frequency
35 - 39 3
40 - 44 4
45 - 49 6
50 - 54 9
55 - 59 7
60 - 64 7
65 - 69 1
We have to find the cumulative frequency of the data.
We will do this by adding the data values of previous interval.
Daily Low(°F) Frequency cumulative frequency
35 - 39 3 3
40 - 44 4 7
45 - 49 6 13
50 - 54 9 22
55 - 59 7 29
60 - 64 7 36
65 - 69 1 37
Therefore, we get the cumulative frequency as:
3
7
13
22
29
36
37
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Cuantos múltiplos de 9 hay entre 60 y 100
Answer: 5 multiples of 9
Step-by-step explanation:
First take the difference between 100 and 60.
100-60=40
Then divide the difference by 9.
40/9=4.44
4.44 rounded up is 5 ==> 5 multiples of 9
Primero toma la diferencia entre 100 y 60.
100-60=40
Luego divide la diferencia entre 9.
40/9=4,44
4.44 redondeado es 5 ==> 5 múltiplos de 9
Answer:
5
Step-by-step explanation:
9*7 = 63
9*8 = 72
9*9 = 81
9*10 = 90
9*11 = 99
Hay 5 múltiplos de 9 entre los números 60 y 100
if 52-4x=28, then x=6
What is the f(n) for -5?
A.4
B.1
C.-1
D.-6
HELPP I AM STUCK IN THIS PROBLEM AND NEED IT BY TMR!!
Answer: 100 scores
Step-by-step explanation:
Let the number of points on your fifth test be x
Hence,
[tex]\displaystyle\\\frac{59+80+65+96+x}{5}=80\\[/tex]
Multiply both parts of the equation by 5:
300+x=80*5
300+x-300=400-300
x=100
K
Membership warehouse clubs offer shoppers low prices, along with rewards of cash back on club purchases. If the
yearly fee for a warehouse club membership is $100 and the reward rate is 4% on club purchases for the year, then the
linear equation y=100-0.04x models the actual yearly cost of the membership y, in dollars. Here x represents the
yearly amount of club purchases, also in dollars.
a) Determine the actual yearly cost of the membership if club purchases for the year
The actual yearly cost of the membership if club purchases for the year is $40
What is actual yearly cost of the membership of the club?
The annual membership cost of Membership warehouse clubs is modelled based on the fact that yearly fee is $100 and that 4% is given off purchases the member make in the course of year, hence, the actual yearly cost is modelled as shown below:
y=100−0.04x
y= actual yearly cost of the membership=unknown
x=cost of purchases in the year=$1,500
y=100-0.04($1500)
y=100-60
y=actual yearly cost of the membership =$40
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Full question:
Membership warehouse clubs offer shoppers low prices, along with rewards of cash back on club purchases. If the yearly fee for a warehouse club membership is $100 and the reward rate is 4%
on club purchases for the year, then the linear equation
y=100−0.04x models the actual yearly cost of the membership y, in dollars. Here x represents the yearly amount of club purchases, also in dollars.
a) Determine the actual yearly cost of the membership if club purchases for the year are $1500.
Rent for the month $ 1,150 monthly take-home salary $ 2,685 spending for food $ 595 cash in checking account $ 550 savings account balance $ 1,990 balance of educational loan $ 2,760 current value of automobile $ 9,800 telephone bill paid for month $ 115 credit card balance $ 285 loan payment $ 180 auto insurance $ 330 household possessions $ 4,400 video equipment $ 2,600 payment for electricity $ 140 lunches/parking at work $ 230 donations $ 260 personal computer $ 1,700 value of stock investment $ 1,110 clothing purchase $ 160 restaurant spending $ 180
$22,150 is the total assets .
What is total assets?
A person or entity's total assets are all of their possessions combined. Assets are things with economic value that an owner uses over time to reap benefits. These assets are often listed in the accounting records and can be seen on the company's balance sheet if the owner is a business.Total asset = Saving account balance + current value of automobile + video equipment + personal computer + cash in checking account + household possessions + value of stock investment
= $1990 + $9800 + $2600 + $1700 + $550 + $4400 + $ 1110
= $22,150
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What is the solution to |14|-|-14|
Answer: The solution to |14|-|-14| is 0
Answer:
The answer is 0
Step-by-step explanation:
absolute value of 14 and -14 is 14 and 14 minus 14 equals 0
Please help dont be like last guy if you do help i will give you extra points
The quotient of 455 ÷ 36 is 12 with a remainder of 23.
How to calculate the value?It should be noted that the subtraction of 360 from 455 will be 95.
Then after that 72 is subtracted from 95 and this will be 23.
Therefore, the quotient is 12 with a remainder of 23.
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Pls help me im stuck
how do you turn this root into a power?
√5
Answer:
5^(1/2)
Step-by-step explanation:
Square root means to the power of (1/2)
cube root means to the power of (1/3)
and so on
At the library, Newton borrows 8 books and Descartes borrows 4 books. 7 of their books are nonfiction. The rest are fiction. How many fiction books did they borrow together?
5
First order equations include linear equations. In the coordinate system, the linear equations are defined for lines. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (i.e., only one variable). Multiple variables may be present in a linear equation. Linear equations in two variables, for example, are used when a linear equation contains two variables. Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, and 3x - y + z = 3.
Total books borrowed = 8+4 = 12
No. of non - fiction books = 7
No. of fiction books = 12 -7
= 5
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For part a), sketch the figures on your own paper. Then, answer part b) below.
8
Figure 1
a. On your paper, sketch Figures 4 and 5.
b. How does the pattern grow? Explain how you know.
Submit Answer
Math formatter
Figure 2
insert into paragraph
Figure 3
Answer: the pattern grows by one square being added to the figure before it. I know because when I count the squares on figure one to three I count one block being added to each side.
Step-by-step explanation:
I need help with all of these ☹️
1. The balloon's average rate of descent is 19 meters per second.
2. The average rate of change of price of one share is $7.896.
3. 0.5 and 0.4286
How do you divide the values?1. The balloon descended 95 meters in 5 seconds. It should be noted that the average rate of descent will be:
= 95 meters / 5 seconds
= 19 meters per seconds.
2. Price of shares = $39.48
Number of days = 5 days
The average rate of change of price of one share will be:
= 39.48 / 5
= $7.896
3. The decimal value of 1/2 is 0.5.
Also, the decimal of 3/7 will be 0.4286.
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