Using rotation rules, it is found that the resulting vector is:
v = <1, 4>
When a vector in component form <x,y> is rotated by 270 degrees, the rule is:
<x, y> -> <y, -x>
That is, x and y are switched, and the signal of x changes.
In this problem, the vector is v <-4, 1>, hence:
<-4, 1> -> <1, -(-4)> -> <1,4>
Hence, <1,4> is the resulting vector.
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Write a recursive formula and an explicit formula for the following arithmetic sequence.
4.25, 4.75, 5.25, 5.75, ...
There are four groups of 20 people walking on a shrew each person walks 3 miles how many total miles do all of the people walk
All the peoples in a group walk 240 miles.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
There are 4 groups of 20 peoples.
And, Each person walk 3 miles.
Now,
Since, There are 4 groups of 20 peoples.
So, Total number of peoples in 4 groups = 4 x 20
= 80
And, Each person walk 3 miles.
So, The distance cover by 80 peoples = 80 x 3
= 240 miles.
Thus, All the peoples in a group walk 240 miles.
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After Gwen, Tristan, and Keith finish exercising, they go to the fair. At the fair, they each pay the entry fee and also buy tickets they can use for food or rides. Gwen pays the entry fee and buys 10 tickets. It costs her a total of $30. Tristan pays the entry fee and buys 15 tickets. It costs him a total of $40. Keith pays the entry fee and buys 10 tickets. It costs him a total of $30. In this task, you will create a system of equations and find the cost of each ticket. Let x represent the entry fee and y represent the cost of each ticket in dollars.
What do you need to do to the equations so you can put them into the Graph tool? Put the equations into the Graph tool. To create the graph, select the correct relationship and then enter the values for the variables. Paste a screenshot of your graph in the space provided. Do you get the same solution as when you solved it algebraically?
Answer:
150 because he bought them
Step-by-step explanation:
simplify the following 6b-8(46 - 9) + 3b
The value of 6b-8(46 - 9) + 3b is 9b - 296.
The equation given is 6b-8(46 - 9) + 3b, the calculation will go thus:
= 6b-8 (46 - 9) + 3b
= 6b-8 (46 - 9) + 3b
= 6b - 8(37) + 3b
= 6b - 296 + 3b
= 6b + 3b - 296
= 9b - 296
Answer: 9b-296
Step-by-step explanation:
Subtract the numbers 6−8 (46−9)+3 6−8(37)+3 2
Multiply the numbers 6−8⋅37+3 6−296+3
Combine like terms 6b−296+3b
Ur answer
9b−296
Anna starts a fixed deposit with $178000, the bank offers 9.5% per year simple interest for 8 months. she has the option of restarting the investment using the interest earned as principal or cashing out at the end of the 8 months, (A) Calculate the interest due after 8 months. (B) if she restarts the investment into a new one calculate the total value of the investment at the end of the second 8 months
Using simple interest, we have that:
A) The interest due after 8 months is $11,272.33.
B) The total value of the investment will be of $189,986.24.
The amount of interest earning using simple interest, after t years, with an yearly interest rate of i and an initial investment of P is given by:
[tex]E = Pit[/tex]
In this problem:
Deposit of $178,000, hence [tex]P = 178000[/tex].Interest rate of 9.5% per year, hence [tex]i = 0.095[/tex].8 months, the time is in years, hence [tex]t = \frac{8}{12} = \frac{2}{3}[/tex]Item a:
[tex]E = Pit[/tex]
[tex]E = 178000(0.095)\frac{2}{3} = 11272.33[/tex]
The interest due after 8 months is $11,272.33.
Item b:
For the second interest, we consider [tex]P = 11272.33[/tex], hence:
[tex]E_2 = Pit[/tex]
[tex]E_2 = 11272.33(0.095)\frac{2}{3} = 713.91[/tex]
The total value will be composed by:
The initial deposit of $178,000.The first interest of $11,272.33.The second interest of $713,91.Hence, it will be:
[tex]T = 178000 + 11272.33 + 713.91 = 189986.24[/tex]
The total value of the investment will be of $189,986.24.
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10 students volunteer to help fold paper stars for a charity project. If an additional 5 students help out, they will be able to finish the job 3 days earlier. The number of days required to finish the job is inversely proportional to the number of students who help out. Find the additional number of students needed to help out in order to finish the job 4 days earlier.
Answer:
Above is the step-by-step solution.
I NEED THE ANSWER ASAP. IM BEING TIMED
The following information is known about a savings account.
Time = 6 years
Interest rate = 1.9%
Principal = $850
What amount of total interest will be earned at the end of year 6?
Answer:
96.90
Step-by-step explanation:
I = PRT
T = 6
P = 850
I = 1.9% = 0.019
I = (850)(0.019)(6) = 96.90 <==
Question 1 of 10 According to the Venn diagram below, what is P(A U B U C)?
A. 21/25
B.24/25
C.22/25
D.23/25
Answer:
D. 23/25
Step-by-step explanation:
Add all the numbers inside the venn diagram for the number of outcomes
> 10+2+8+8+6+5+7 = 46
Then add all the numbers inside and outside the venn diagram for the number of possibilities
> 10+2+8+8+6+5+7+4 = 50
[tex]p(a \: u \: b \: u \: c \: ) = \frac{total \: number \: of \: outcomes}{total \: number \: of \: possibilities} [/tex]
[tex]p( a \: u \: b \: u \: c) = \frac{46}{50} [/tex]
[tex]p(a \: u \: b \: u \: c \: ) = \frac{23}{25} [/tex]
Convert into an exponential expression
Answer:
Step-by-step explanation:
Plug in missing values to make it a function…. Please help
Answer:
p = 5
Step-by-step explanation:
Judging from (0,0) and (10,-20) as given in the chart, the function is y = -2x.
Substituting that for the second row, you would get the equation -10 = -2x.
Simplifying, you get x = 5, so the value of p is 5.
Answer:
5
Step-by-step explanation:
First find the slope
m = ( y2-y1)/(x2-x1)
m = (-20-0)/(10-0)
= -20/10
= -2
We know the slope and have two points, (0,0) and (p,-10)
-2 = ( -10-0)/(p-0)
-2 = -10/p
Multiply each side by p
-2p = -10
Divide each side by -2
p = -10/-2
p = 5
(12a-9b+7)+(2a-3b-14)
Answer:
14a - 12b - 7
Step-by-step explanation:
DIRECTIONS: Use this information to answer Parts A and B.
Home sold for $286,000. The amount the homeowner received, before taxes and closing costs, was the selling price minus the commission to the real estate agent, which was 6%.
Question 1
Part A
How much commission did the real estate agent earn on the sale?
Part B
How do you know your answer is reasonable?
Answer:
268,840
Step-by-step explanation:
286,000 x 6% commission= 17,160. you then subtract this commission from the sold price of 286000=$17160
What is the CONJUGATE of the expression -3 - 4i ?
What is the absolute value of -3 - 4i?
with calculations
[tex]\text{Conjugate of -3-4i is -3+4i}\\\\|-3-4i| = \sqrt{(-3)^2 + (-4)^2} = \sqrt{9+16} = \sqrt{25} =5[/tex]
A researcher is following the growth of a particular type of flower. She writes the given equation to show the height of the flower g(n), in inches, after n days.
g(n) = 10(1.02)n
What does the average rate of change of the function represent?
A.
the number of days flower grew
B.
the average height of the flower after 5 days
C.
the average growth of the flower from day 1 to day 5
D.
the average time it takes for the flower to grow from 1-5 inches
The expression given represents an exponential growth relation. The average rate of change is the average growth of the flower from day 1 to days 5
The rate of change of the flower can be deduced frommthe equation as :
1.02 - 1 = 0.02Hence, the growth rate of the flower per day = 0.02
The number of days, n = 5
Therefore, the average growth rate is the average growth of the flower within the number of days given.
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Answer:
C
Step-by-step explanation:
I got it right
How do I slove Solving Systems Using Matrices in word form like this please help I'm almost don't for the night >_< ;-; :( o-o
Answer:
Below!
Step-by-step explanation:
What is the value of this expression?
−29−(−13÷35)
Answer:
-29 13/35
Step-by-step explanation:
PLEASE IM BEGGING PLEASE I RLLY NEED THIS PKS PLS
Answer:
yeah I don't know why I don't know so please don't ask me
Step-by-step explanation:
ido
Turn into a equivalent form 6x²+13x+5
Answer:
Assuming the questions wants another form of 6x²+13x+5:
(2x+1)(3x+5) would work.
Step-by-step explanation:
Multiply (2x+1)(3x+5) and you'll get 6x^2+13x+5
someome help in math please
Answer:
[tex] - n + 4(2c + 2) + 6n = .... \\ - 5 + 4(4 + 2) + 30 = .... \\ 19 + 30 = 49[/tex]
your answer is 49School OL ROC below
School of Rock
Guitar Bass Drums Keyboard Total
6th grade 13 10 17
20
60
7th Grade
14
17
11
10
8th Grade
18
12
17
16
63
Total
45
51
42
175
What percent of the 7th graders in the School of Rock play keyboard? Round your
answer to the nearest whole number percent,
Submit Anwwer
0
Using the percentage concept, it is found that 19% of the 7th graders in the School of Rock play keyboard.
The percentage of an amount a relative to another amount b is given by:
[tex]P = 100\frac{a}{b}[/tex]
From the table given:
There are 14 + 17 + 11 + 10 = 52 7th graders, hence, [tex]b = 52[/tex]Of those, 10 play the keyboard, hence [tex]a = 10[/tex]Then
[tex]P = 100\frac{a}{b} = 100\frac{10}{52} = 19[/tex]
19% of the 7th graders in the School of Rock play keyboard.
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Old Faithful in Yellowstone National Park shoots water 60 feet into the air that casts a shadow of 42 feet. What is the height of a nearby tree that casts a shadow 63 feet long? Assume the triangles are similar.
Simplify: 4x(x^2 – 3x + 1)
A)4x^3 - 7x^2 +5
B)4x^2 – 12x^2 + 4
C) 4x^3 - 12x^2 + 4x
D)4x^2 - 12x + 1
Answer:
its c
Step-by-step explanation:
4x*x^2= 4x^3
-3x*4x =-12x^2
1*4x = 4x
= 4x^3 -12x^2 + 4x
10 times 7 + 5^2/2 times 5
Answer:
132.5
Step-by-step explanation:
10x7=70
5^2=25
70+25/2x5
70+12.5x5
70+62.5=132.5
Plzzzz help mee I forgot how to do it
Answer:
100011 is the base number.Step-by-step explanation:
Best of luck friend2x+4 over 3 - 5x-7 over 2 = 5 solve the equation
Answer:
x = -1/11.
Step-by-step explanation:
I am interpreting this as:
(2x+4)/ 3 - (5x-7)/2 = 5
Multiply through by the LCM of 2 and 3 ( that is 6):
2(2x + 4) - 3(5x - 7) = 30
4x - 15x + 8 +21 = 30
-11x = 30 - 21 - 8
-11x = 1
x = -1/11.
Answer number eleven and thirteen please
Answer:
Both are right trianglesStep-by-step explanation:
Use Pythagorean to decide
#11Sides 12, 16, 20
12² + 16² = 20²400 = 400Right triangle#13Sides 2.4, 4.5, 5.1
2.4² + 4.5² = 5.1²26.01 = 26.01Right triangleWhat is the slope of the line that passes through the points (-3,3) and (-3, 13)?
Write your answer in simplest form.
Answer:
ΔY = 10
Step-by-step explanation:
Rosie is mixing a special green paint which contains 2/3 cups yellow paint 1/3cups white paint 1 and 1/5 cups blue paint and last 1/5 black paint what percentage what percentage of the green paint is blue
what is the sum of 5.4 + (-9.7)
Answer:
-4.3
Step-by-step explanation:
tell the answer of the last q i asked pls
q was :-(
Rohan spent 20% of his pocket money on transport and ₹60 on his breakfast.If he spent 15% of the remaining money on his lunch and had ₹340 left, what was his pocket money?
He spent on transport = 20%
spent on breakfast = 60/-
spent on lunch = 15%
remaining amount = 340
rs he spent on transport = 20/100 × 340 =68
rs he spent on lunch = 15/100 × 340 = 51
Therefore, total of his pocket money = 68 + 51 + 60 + 340
= ₹519