Answer:
θ = 54 - π/10 - (2 π n_1)/5 for n_1 element Z
or θ = -18 - π/10 - (2 π n_2)/5 for n_2 element Z
Step-by-step explanation:
Solve for θ:
sin(90 - 5 θ) = cos(180)
Hint: | Express the right hand side in terms of sine.
Rewrite the right hand side using cos(θ) = sin(θ + π/2):
sin(90 - 5 θ) = sin(π/2 + 180)
Hint: | Eliminate the sine from the left hand side.
Take the inverse sine of both sides:
90 - 5 θ = -180 + π/2 + 2 π n_1 for n_1 element Z
or 90 - 5 θ = 180 + π/2 + 2 π n_2 for n_2 element Z
Hint: | Look at the first equation: Isolate terms with θ to the left hand side.
Subtract 90 from both sides:
-5 θ = -270 + π/2 + 2 π n_1 for n_1 element Z
or 90 - 5 θ = 180 + π/2 + 2 π n_2 for n_2 element Z
Hint: | Solve for θ.
Divide both sides by -5:
θ = 54 - π/10 - (2 π n_1)/5 for n_1 element Z
or 90 - 5 θ = 180 + π/2 + 2 π n_2 for n_2 element Z
Hint: | Look at the second equation: Isolate terms with θ to the left hand side.
Subtract 90 from both sides:
θ = 54 - π/10 - (2 π n_1)/5 for n_1 element Z
or -5 θ = 90 + π/2 + 2 π n_2 for n_2 element Z
Hint: | Solve for θ.
Divide both sides by -5:
Answer: θ = 54 - π/10 - (2 π n_1)/5 for n_1 element Z
or θ = -18 - π/10 - (2 π n_2)/5 for n_2 element Z
There are three choices of jellybeans: grape, cherry and orange. If the probability of getting a grape is 3/10 and the probability of getting cherry is 1/5, what is the probability of getting orange?
can u plzz explain me the question
Answer:
5/10, or 1/2
Step-by-step explanation:
If the probability of getting a grape is 3/10, and the probability of a cherry is 1/5 or 2/10, then the probability of getting orange is 5/10.
3/10+2/10=5/10
10/10-5/10=5/10
Simplified: 1/2
Write a recursive formula for the sequence.
11, 7, 3, -1, ...
Answer:-4
Step-by-step explanation:
11,7,3,-1,-5,......they have a difference of -4
11-4=7
7-4=3
3-4=-1
-1-4=-5
Recursive formula for the given sequence is [tex]a_{n}=a_{n-1}-4[/tex]
What is Recursive formula?A recursive formula is a formula that defines any term of a sequence in terms of its preceding term(s).
Consider
The first term [tex]a_{1} =11[/tex]
second term [tex]a_{2}=7[/tex]
Common difference = 7-11 = -4
Third term [tex]a_{3}=3[/tex]
Common difference = 3-7 =- 4
Fourth term [tex]a_{4}=-1[/tex]
Common difference = -1-3= -4
Then the formula for the sequence is [tex]a_{n}=a_{n-1}-4[/tex]
Hence, the Recursive formula for the give sequence is [tex]a_{n}=a_{n-1}-4[/tex]
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What is the x-coordinate of the point plotted below?
Answer:
The x coordinate is 2
Step-by-step explanation:
Since the point is on 2 of the x-axis. The exact coordinates of that point is (2,0)
The x-coordinate of the point plotted is (2, 0)
What is Coordinate Geometry?Coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.
We need to find the x-coordinate of the point plotted in the given graph.
Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The x value of the point (x, y) is known as the abscissa. It represents the distance of the point from the origin or along the horizontal x-axis.
The point is at 2 on x axis and y value will be zero
(2, 0) is the x coordinate of the given point
Hence, the x-coordinate of the point plotted is (2, 0)
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3 1 8 5 7 2 1 6 find the mode
Answer:
1
Step-by-step explanation:
Mode is 1 as 1 has repeated the most number of times
Answer:
The mode is 1.
Step-by-step explanation:
The mode is 1 because that number occurs the most number of times.
Hope I helped!
The length of a rectangular field is 45 ft greater than its width, w ft. how much fencing is needed to enclose the field and divide it into two parts as shown?
Answer:
Length of fencing needed = 4x + 45
Step-by-step explanation:
Assume;
Width of rectangle = x
So,
Length of rectangle = x + 45
Find:
Length of fencing needed
Computation:
Length of fencing needed = 2(l+b) + b
Length of fencing needed = 2(x+45+x) + x
Length of fencing needed = 2(2x+45) + x
Length of fencing needed = 4x + 45
Which phrase matches the algebraic expression below? (1 point) 3(x − 7) + 10 Three times the sum of x and seven plus ten Three times x minus seven plus ten Three times x minus the sum of seven and ten Three times the difference of x and seven plus ten
Answer:Three times the difference of x and seven plus ten
Step-by-step explanation:
URGENT
in two or more complete sentences, describe a system of equation in which subtraction would be the most efficient way of solving the system.
Answer:
a system of equations in which subtraction would be the most efficient way of solving the system is: A system of equations in which one of the variables has exactly the same coefficient in both equations. Solve the system by the elimination method. ... Solve the system by the elimination method.
5. Gaylen works 40 hours every week during the summer and makes $11.50 an hour. In
addition, he earns about $500 selling fireworks on the Fourth of July. How much did he
make during a 12 week period in the summer?
Das Istre
bi
mooni patololes 791)
PLSSSS HEP ITS URGENT!!
1+6=6x6/6
Answer:
7=6
Step-by-step explanation:
since it is times 1 plus 6 = 6 times 6 divided by 6
1+6=6x6/6
1+6 is 7
6 times 6 is 36 then 36 divided by 6 is 6
then you get 7=6
ASAP Please! Benjamin's age is 6 years less than twice Lucas's age. If Benjamin is 12 years old, how old is Lucas? Choose the answer below that is a viable solution to this problem. A. 3 B. 5 C. 7 D. 9
Answer:
9
Step-by-step explanation:
First add 6 to Benjamin's age to make it 18, which is twice Lucas's age. Because it's twice as much, divide 18 by 2 to get 9.
Toby is packaging 21 baseball cards and 12 football cards to sell at the swap meet. Each packet will have the same number of cards. Each packet will have the cards for only one sport. What is the greatest number of cards you can place each packet? How many packets would it be for each sport?
Answer: The greatest number of cards you can place each packet = 3
There would be 7 packets of baseball cards and 4 packets of football cards.
Step-by-step explanation:
Given: Number of baseball cards =21
Number of football cards = 12
Each packet will have the same number of cards.
Each packet will have the cards for only one sport.
Then, the greatest number of cards you can place each packet = GCD (21,12) i.e. greatest common divisor of 21 and 12
Since 21 = 3 x 7 and 12 = 2 x2 x3
so, GCD(21, 12)=3
So, the greatest number of cards you can place each packet = 3
Number packets of baseball cards = [tex]\dfrac{21}{3}=7[/tex]
Number packets of football cards = [tex]\dfrac{12}{3}=4[/tex]
So, there would be 7 packets of baseball cards and 4 packets of football cards.
(x - 5)2 = 25
Solution steps:
Add 5 to both sides
Multiply both sides by 5
Square both sides
Take the square root of both sides
Here is your answer
x = 17.5
Make as brainliest plzz....
Hope this answer is helpful....
Which of the tables represents a function? (4 points)
Please help i’m having a really hard time
Answer:
table A
Step-by-step explanation:
side note: if the outputs have the same numbers there not a function
are the expressions (x + 7) (x - 3) and (x + 7) equivalent expressions? explain
Answer:
No
Step-by-step explanation:
(x+7)(x-3) are different from (x+7), since they generate a different result when foiling.
Answer:
no
Step-by-step explanation:
just to make you clear...
to check if two terms or expression are equivalent or equal
just divide them and if quotient is 1 then they are equal
but in this case.their quotient will be (x-3)
Given f(x) = -x + 2, find f(0)
Step-by-step explanation:
Using the f(x) defined in the question,
f(0) = -(0) + 2 = 2.
Write an equation of the line that passes through
the given point and has the given slope.
(1/2,4),m = -8
Answer:
The answer is
y = - 8x + 8Step-by-step explanation:
To find the equation of the line given a point and slope we use the formula
[tex]y - y _{1} = m(x - x _1)[/tex]
where
m is the slope
( x1 , y1) is the point
From the question the point is
(1/2,4) and slope m = -8
The equation of the line is
[tex]y - 4 = - 8(x - \frac{1}{2} ) \\ y - 4 = - 8x + 4 \\ y = - 8x + 4 + 4[/tex]
We have the final answer as
y = - 8x + 8Hope this helps you
Jonathan fills 2/5 of a toffe box in 15 seconds. How many boxes can he fill in 10 minutes?
Answer:
16 boxes in 10 minutes
Step-by-step explanation:
2/5 = 15 sec
15 ÷ 2=7.5 1/5 = 7.5 seconds
7.5 × 5 = 37.5 37.5 = 1 box
60 × 10 = 600 secs
600 ÷ 37.5 = 16
16 boxes of toffee were made in 10 minutes
14- =5+4
SECOND GRADE MATH HELP PLS
Answer:
5
Step-by-step explanation:
14, 13, 12, 11, 10, 9.
5+4 = 9
Answer:
5
Step-by-step explanation:
You're given 14 - [something] = 5 + 4.
You can start out by making sure you understand what you see.
If fourteen minus a number equals five plus four, you can start out by adding five and four together, right?
And you can figure out that 5 + 4 = 9.
So now, the question is just asking you to find a number such that when you subtract it from 14, you get 9:
14 - [something] = 9
Now you can just think about this. Fourteen minus what equals 9?
You can just count down: 14, 13, 12, 11, 10, 9. You counted down five times to get to 9, so the missing number is 5.
Or, you can also think like this:
You know that 10 is just one more than 9.
14 - 4 = 10. So 14 minus what is 9? 14 - 5 = 9 It has to be 5!
What is the value of (–7 + 3i) – (2 – 6i)?
Answer:
9 (i - 1)
Step-by-step explanation:
Simplify the following:
-7 + 3 i - (-6 i + 2)
Hint: | Distribute -1 over 2 - 6 i.
-(2 - 6 i) = -2 + 6 i:
-2 + 6 i - 7 + 3 i
Hint: | Evaluate -2 + 6 i - 7 + 3 i.
-2 + 6 i - 7 + 3 i = (6 i + 3 i) + (-2 - 7) = -9 + 9 i:
9 i - 9
Hint: | Factor common terms from 9 i - 9.
Factor 9 out of 9 i - 9 giving 9 (i - 1):
Answer: 9 (i - 1)
A spinner with 50 evenly sized sections and numbered 1 to 50 is spun. What is the probability that the number spun is 33 given that the number is odd?
How’d do you simplify it?
Answer:
The answer is
[tex]8 \sqrt{3} \: {m}^{2} [/tex]Step-by-step explanation:
[tex] \sqrt{192 {m}^{4} } [/tex]First of all factor out the perfect square
From the question the perfect square is 64
We have
[tex] \sqrt{64 \times 3 {m}^{4} } [/tex]The root of a product is equal to the product of the roots of each factor
So we have
[tex] \sqrt{64 \times {3m}^{4} } = \sqrt{64} \times \sqrt{3} \times \sqrt{ {m}^{4} } \\ [/tex]Simplify
[tex] \sqrt{64} = 8 \\ \sqrt{ {m}^{4} } = {m}^{2} [/tex]So we have
[tex]8 \times \sqrt{3} \times {m}^{2} [/tex]We have the final answer as
[tex]8 \sqrt{3} \: {m}^{2} [/tex]Hope this helps you
Solve for xxx. Enter the solutions from least to greatest. 2x^(2)-2x-180 =0
Answer:
{-9, 10}
Step-by-step explanation:
The equation can be factored as ...
2x^2 -2x -180 = 0
x^2 -x -90 = 0 . . . . divide by 2
(x +9)(x -10) = 0
Solutions are the x-values that make the factors zero:
-9, 10
Brett has consumed 1,400 calories so far today. He has also burned off 400 calories at the gym. He would like to keep his daily calorie total to 2,000 calories per day. How many calories does he have left to consume for the day? Is 1,200 a viable solution to this problem?
Answer:
1000 calories
Step-by-step explanation:
2000-(1400-400)
Answer:
800
Step-by-step explanation:
2000−1200
=2000−1200
=2000+−1200
=800
How many places after the decimal point does the equivalent decimal have if: the denominator of the fraction is 100?
Answer:
2 places after the decimal point.
Step-by-step explanation:
Answer:
2 places after the decimal point
Step-by-step explanation:
[tex]\frac{1}{100}[/tex] =0.01
Hav a nice day
Solve for h: 7a=10+2h
Answer:
[tex] \frac{7a}{2} - 5 = h[/tex]
Step-by-step explanation:
[tex]7a = 10 + 2h[/tex]
Isolate 2h
[tex]7a - 10 = 2h[/tex]
Divide both sides of the equation by 2
[tex] \frac{7a - 10}{2} = \frac{2h}{2} [/tex]
Simplify
[tex] \frac{7a}{2} - 5 = h[/tex]
I need help with this- I've never seen a graph like this- haha
Answer:
I think it's the third answer.
Step-by-step explanation:
The line is going through those points.
please helppppppppppppppppppppppppppp
Answer:
Each friend will need to contribute $20
Step-by-step explanation:
For the problem regarding the equally distributed cost per friend to rent a go-cart track, we can simply use the following eqaution:
Cost per friend = Total cost / # of friends
We are given that the Total cost is $100 and that there are 5 friends. So let's plug this into the equation to find the cost per friend (Assuming each friend is paying an equal amount):
Cost per friend = Total cost / # of friends
Cost per friend = $100 / 5
Cost per friend = $20
Hence, each friend will need to contribute $20.
Cheers.
A computer had 2 gigabytes of data stored on it when Jackie bought it, and she is storing an additional 3.5 gigabytes per year, as shown in the table below. Which of these statements is correct about the linear function that represents this situation? Amount of Data Stored on Jackie’s Computer Time (year) 0 1 2 3 4 Gigabytes of Data 2 2 + 3.5 = 5.5 5.5 + 3.5 = 9 9 + 3.5 = 12.5 12.5 + 3.5 = 16 The initial value represents the 2 gigabytes of data stored on the computer when Jackie bought it, and the rate of change represents the 3.5 gigabytes per year that Jackie is storing. The initial value represents the 2 gigabytes per year that Jackie is storing, and the rate of change represents the 3.5 gigabytes of data stored on the computer when Jackie bought it. The initial value represents the 3.5 gigabytes of data stored on the computer when Jackie bought it, and the rate of change represents the 2 gigabytes per year that Jackie is storing. The initial value represents the 3.5 gigabytes per year that Jackie is storing, and the rate of change represents the 2 gigabytes of data stored on the computer when Jackie bought it. Mark this and return
Answer:The initial value represents the 2 gigabytes of data stored on the computer when Jackie bought it, and the rate of change represents the 3.5 gigabytes per year that Jackie is storing.
The statement first is correct because 2GB represents the initial data and in the second term 3.5GB represents the rate of change of data per year.
What is a function?It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
Initial data when Jackie bought = 2 gigabytes
Rate of change of data per year:
[tex]\rm\frac{dB}{dt} = 3.5[/tex]
We can frame a linear function such that:
[tex]\rm y = 2 + n(\frac{dB}{dt})[/tex]
[tex]\rm y = 2 + 3.5n[/tex]
Where y represents the total data stored at n years.
And n represents the [tex]\rm n^{th}[/tex] year
When n = 0 then y = 2 (initial data when Jakie bought it)
When n = 1 then y = 5.5 (after one year the amount of data Jakie's computer has)
Term 2 represents the initial data and term 3.5 represents the rate of change of data per year.
Therefore, the initial value represents the 2 gigabytes of data stored on the computer when Jackie bought it, and the rate of change represents the 3.5 gigabytes per year that Jackie is storing.
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x/10 + y/1000 = 1
Can you please rewrite this in slope-intercept form
Please help !!!
Answer:
Slope-int form: y = mx + b
x/10 + y/1000 = 1
y/1000 = -x/10 + 1
y = 1000(-x/10 + 1)
y = -100x + 1000
Step-by-step explanation:
Increase £36.00 by 10%
Answer:
3.6
Step-by-step explanation:
10% = .10
36 * .10 = 3.6