Answer:
The coordinates are (-7sqrt(3)/2, 7/2).
Step-by-step explanation:
The rectangular coordinates from polar coordinates is found by:
x = r*cos(theta)
y = r*sin(theta)
Substituting the given values, we get:
x = 7*cos(150 deg) = 7*(-sqrt(3)/2) = -7sqrt(3)/2
y = 7*sin(150 deg) = 7*(1/2) = 7/2
The coordinates are (-7sqrt(3)/2, 7/2).
I hope this helps! :)
i giveeee brainlilster
Answer:
84
Step-by-step explanation:
Set up a proportion. The ratio number of gray mice corresponds (is across from) the total number of gray mice (24)
5/2 = x/24 Cross multliply
2*x = 5*24 Multiply 5 by 24
2x = 120 Divide by 2
x = 120/2
x = 60 Which represents the number of white mice.
So the white mice + gray mice = 60 + 24 = 84
First term: 2 3/4 sixth term: 3 7/12 what is the rule
Answer:
we conclude that the rule will be:
[tex]a_n=\frac{31}{12}+\frac{1}{6}n[/tex]
Step-by-step explanation:
Given
[tex]a_6=3\frac{7}{12}=\frac{43}{12}[/tex]
[tex]a_1=2\frac{3}{4}=\frac{11}{4}[/tex]
We know the arithmetic sequence with the common difference is defined as
[tex]a_n=a_1+\left(n-1\right)d[/tex]
where a₁ is the first term and d is a common difference.
so
a₆ = a₁ + (6-1) d
substituting a₆ = 43/12 and a₁ = 11/4 to determine d
[tex]\frac{43}{12}=\:\frac{11}{4}\:+\:5d[/tex]
switch sides
[tex]\frac{11}{4}+5d=\frac{43}{12}[/tex]
subtract 11/4 from both sides
[tex]\frac{11}{4}+5d-\frac{11}{4}=\frac{43}{12}-\frac{11}{4}[/tex]
[tex]5d=\frac{5}{6}[/tex]
Divide both sides by 5
[tex]\frac{5d}{5}=\frac{\frac{5}{6}}{5}[/tex]
[tex]d=\frac{1}{6}[/tex]
as
a₁ = 11/4
[tex]d=\frac{1}{6}[/tex]
Therefore, the nth term of the Arithmetic sequence will be:
[tex]a_n=a_1+\left(n-1\right)d[/tex]
substituting d = 1/6 and a₁ = 11/4
[tex]a_n=\frac{11}{4}+\left(n-1\right)\frac{1}{6}[/tex]
[tex]=\frac{11}{4}+\frac{1}{6}n-\frac{1}{6}[/tex]
[tex]=\frac{31}{12}+\frac{1}{6}n[/tex]
Therefore, we conclude that the rule will be:
[tex]a_n=\frac{31}{12}+\frac{1}{6}n[/tex]
0.17 =
0.1090 =
,0.050 =
Step-by-step explanation:
I have no idea what you are asking to do lol
Roger has two blue ties, one red tie, two blue coats, and two orange coats. What is the probability that he wears either a blue tie or a blue coat
Answer:
4/7
Step-by-step explanation:
Probability is the likelihood or chance that an event will occur.
Probability = Expected outcome/Total outcome
Given
Total outcome = 2blue ties+1red tie+2blue coats+2orange coats
Total outcome = 7
If he wears a blue tie, then the expected outcome will be 2.
Probability that he wears blue tie = 2/7
If he wears a blue coat, then the expected outcome will be 2.
Probability that he wears blue coat = 2/7.
The probability that he wears either a blue tie or a blue coat will be 2/7+2/7 = 4/7
Don't steal points
its not cool
i WILL report
and also
answer this and u could have a chance to get brainliest
ill be asking 10 questions
whoever has the best answer in any of these ill give brainliest :D
Answer:
d = 50t
Step-by-step explanation:
In the table, the values across from each other are equivalent.
[tex]\begin{tabular}{|c|c|}\cline{1-2} Time in hours (t) & Distance in miles (d) \\\cline{1-2} 0 & 0 \\\cline{1-2} 1 & 50 \\\cline{1-2} 2 & 100 \\\cline{1-2} 3 & 150 \\\cline{1-2}\end{tabular}[/tex]
By looking at the second row of the provided table, we can see that d is equal 50 times the value of t. We can write this as an equation:
d = 50t
The correct answer choice is d = 50t, or the 4th option.
Let me know if you have any questions!
What is the sum of the expressions below? (9x - 8y) + (2x - 6) + (-y + 3)
Answer: 11x - 9y - 3
Step-by-step explanation:
Collect like terms - start with x
9x - 8y +2x - 6 - y + 3
11x - 8y - 6 - y + 3
Collect all y terms
11x - 9y - 6 +3
Collect all integers
11x - 9y - 3 - final answer
If the slope is 2 and the y-intercept is 6, then the linear equation is 2y = 6x.
False
ОО
True
Answer:
Concept: Linear Systems
False, the slope should be 2x not 2y.
Tom and Diane start to race. Tom takes 4 seconds to run 25 yards. Diane runs 20 yards in 3 seconds.
1. who runs faster? Explain how you know.
Answer:
Diane is faster since her speed is higher.
Step-by-step explanation:
We can find each speed in yards per second.
Tom:
25 yards / 4 seconds = 6.25 yards/second
Diane:
20 yards / 3 seconds = 6.67 yards/second
Diane's speed is higher, 6.67 yd/s vs 6.25 yd/s, so Diane is faster.
Answer: Diane is faster since her speed is higher.
What is the product of (9)(-9)-1)?
-81
-1
1
81
sunine daughter of mrs.kirti, sunine is 8years old and mrs.kirti is 2years younger than four times kirti's age, how old is mrs.kirti?
Answer:
30
Step-by-step explanation:
Well 8 x 4 is 32. And if Mrs. Kirti's 2 years younger than that, we subtract 2 from 32. So therefore 32-2=30.
Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius r. width units height units
This question is incomplete, the remaining part of the question is upload as an image alongside this answer.
Answer:
Width = 2x = 2( r/√2 ) = √2 r units
Height = 2y = 2( r/√2 ) = √2 r units
Step-by-step explanation:
From the Figure on the image; lets consider the circle of radius r, centered at the origin.
let ABCD be the largest rectangle that can be inscribed inside the circle.
Let the half width of the rectangle be x, then in right triangle ONB using Pythagorean theorem,
half height of rectangle y = √(r² - x²)
Thus the width of the inscribed rectangle = 2x and height of the inscribed rectangle = 2√(r² - x²)
thus the area of the inscribed rectangle = length × width
⇒ A(x) = 2x(2√(r² - x²))
⇒ A(x) = 4x√(r² - x²)
now in order to maximize the area, we find critical points.
so we find the derivative and set that zero, that is Ai(x) = 0.
so using product rule, we get
A'(x) = 4x × ( -2x / 2√(r² - x²) ) + ( 4 × √(r² - x²) )
A'(x) = ( -4x² / √(r² - x²) ) + ( 4√(r² - x²) )
Now for critical points, set A'(x) = 0
so
( -4x² / √(r² - x²) ) + ( 4√(r² - x²) ) = 0
( 4x² / √(r² - x²) ) = ( 4√(r² - x²) )
x² = r² - x²
2x² = r²
x² = r²/2
x = ±√(r²/2)
Now since x represent the with, it cannot be negative, Thus
x = r/√2
hence
y = √(r² - x²) = √(r² - r²/2) = √(r²/2) = r/√2
Therefore, the dimensions of the rectangle of largest area will be;
Width = 2x = 2( r/√2 ) = √2 r units
Height = 2y = 2( r/√2 ) = √2 r units
What should be added to 8 to make them sum 0
Answer:
-8
Step-by-step explanation:
if you add negitive 8 to 8 then the sum will be 0
Answer:
-8
Step-by-step explanation:
when you add a negative number your basically subtracting its absolute value.
What value of c makes the polynomial below a perfect square?
x² +10x+ c
C=
A. 5
B. 25
C. 100
Ο Ο
D. 20
Answer:
i think its a hope it helps
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
did the test on ape x and 25 was the answer
need the answer !!! pls
Answer:
i guess its b and d
Step-by-step explanation:
-2+2=0
Answer:
option B is correct
B and D
because B is -2 and D is 2
to make 0
we can combined that 2numbers then we got -2+2=0
Step-by-step explanation:
hope my answer is helpful to you
A circle centered at the origin has a radius of 5 units. The terminal side of an angle, , intercepts the circle in Quadrant 3 at point D. The x-coordinate of point D is -3, what is the value of sin θ?
Answer:
Step-by-step explanation:
add then subtact D from 3
The time, in seconds, required for an object accelerating at a constant rate of a meters/second to travel a distance of d meters is given by this
equation
t = va
Which equation expresses din terms of tanda?
OA d = 2at?
OB.
OC. d =
= VA
OD. d = 1
Answer:
[tex]d=\dfrac{t^2}{a}[/tex]
Step-by-step explanation:
The time in seconds, required for an object accelerating at a constant rate of a meters/second to travel a distance of d meters is given by this equation.
t = va
We need to find the expression for d in terms of t and a.
As velocity = distance/time
[tex]t=\dfrac{d}{t}a\\\\t^2=da\\\\d=\dfrac{t^2}{a}[/tex]
So, the distance d is [tex]\dfrac{t^2}{a}[/tex].
A truck manufacturer selects 3 trucks at random from each of 6 models for safety testing.
What type of sample is this?
The sampling is a an example of random sampling.
What is probability?Probability is a measure of the likelihood of an event occurring. The probability formula is defined as the possibility of an event happening is equal to the ratio of the number of favorable outcomes and the total number of outcomes. Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes.
Given here: A truck manufacturer selects 3 trucks at random from each of 6 models for safety testing.
From each of six models selects 3 models and Random sampling is a part of the sampling technique in which each sample has an equal probability of being chosen. A sample chosen randomly is meant to be an unbiased representation of the total population.
Thus clearly the sample is random sampling.
Hence, The sampling is a an example of random sampling.
Learn more about probability here;
https://brainly.com/question/30034780
#SPJ2
Which expression is equivalent to the expression below? p+p+p+p+p+p+q+q+q+q p+p+p+p+p+p+q+q+q+q
Answer:
12p + 8q
Step-by-step explanation:
please please fill in the blank ... and write division sentence i will mark you brainliest
Q. no 16
Convert 730 days into years.
Answer:
730 days =
2 calendar years
Time
730
2 years
Calendar year
Formula
divide the time value by 365
Answer:
2 years
Step-by-step explanation:
There are 365 days in a given year.
In order to solve this, divide 730 by 365:
730/365 = 2
Therefore, 730 days is 2 years.
Please help me I need to turn in tomorrow
Answer:
Answer: B. 5
Step-by-step explanation:
Combination
It's a selection of items from a collection, such that the order of selection does not matter.
It can be calculated by using factorials with the formula:
[tex]\displaystyle _mC_n=\frac{m!}{(m-n)!\ n!}[/tex]
Let's calculate:
[tex]\displaystyle _5C_1=\frac{5!}{(5-1)!\ 1!}[/tex]
[tex]\displaystyle _5C_1=\frac{5!}{(4)!\ 1!}[/tex]
Since 5!=5*4! and 1!=1:
[tex]\displaystyle _5C_1=\frac{5*4!}{(4)!\ 1!}[/tex]
Simplifying:
[tex]\displaystyle _5C_1=\frac{5}{1}=5[/tex]
Answer: B. 5
Find the 59th term of the following arithmetic sequence.
5, 13, 21, 29,
Answer:
469
Step-by-step explanation:
1. use the formula:
[tex]a_n=a_1+d*(n-1);[/tex]
where d - the step between two nearest terms, n - number of required term; a₁ - the first term of the given sequence.
2. according the formula above:
[tex]a_{59}=5+8*(59-1)=5+464=469.[/tex]
Sarah has 15 fewer counters than Elisa. Elisa has 39 counters. How many counters does Sarah have.
Answer:
24
Step-by-step explanation:
39-15=24
Answer:
24
Step-by-step explanation:
Is (1, 3) a solution to the system of equations listed below? (1 point) y= 6x -3 y = x - 2
Answer:
The solution for given system of equation is: [tex]x=\frac{1}{5}\:and\:y=\frac{-9}{5}[/tex] and ordered pair is: [tex]\mathbf{(\frac{1}{5},\frac{-9}{5})}[/tex]
So, (1,3) is not solution to the given system of equations.
Step-by-step explanation:
we can solve the system of equations to find the value of x and y and then verify if (1,3) is a solution or not.
The system of equation given is:
[tex]y=6x-3\\y=x-2[/tex]
Solving:
Let:
[tex]y=6x-3--eq(1)\\y=x-2--eq(2)[/tex]
Put value of y from equation 2 into equation 1
[tex]y=6x-3\\Put\:y=x-2\\x-2=6x-3\\x-6x=-3+2\\-5x=-1\\x=\frac{-1}{-5}\\x=\frac{1}{5}[/tex]
Now, put value of x in equation 2 to find value of y
[tex]y=x-2\\Put\:x=\frac{1}{5} \\y=\frac{1}{5} -2\\y=\frac{1-2*5}{5} \\y=\frac{1-10}{5}\\ y=\frac{-9}{5}[/tex]
So, the solution for given system of equation is: [tex]x=\frac{1}{5}\:and\:y=\frac{-9}{5}[/tex] and ordered pair is: [tex]\mathbf{(\frac{1}{5},\frac{-9}{5})}[/tex]
So, (1,3) is not solution to the given system of equations.
This recipe will serve 12 pancakes.
Find out how much of each ingredient you would need for 24 pancakes.
Find out how much of each ingredient you would need for 6 pancakes.
i can give a better answer if you give the recipe but for 24 pancakes its double and for 6 pancakes is half
Drag the simplified value into the box to match each expression.
23+1⋅4−3
20+10−4⋅2
3+52−6⋅4
Answer:
Step-by-step explanation:
9
3
4
Answer:
1. 9
2. 3
3. 4
Step-by-step explanation:
I have taken the test and got 100% on it so I hope this helped you!
The random variable X, representing the number of accidents in a certain intersection in a week, has the following probability distribution: On average, how many accidents are there in the intersection in a week
Answer:
Average Mean = 1.8
Step-by-step explanation:
Missing:
X:0 1 2 3 4 5 6
P(x): 0.20 0.30 0.20 0.15 0.10 0.05
Computation:
Average Mean [Probability distribution]
∑[P(x) × X]
= 0 x 0.20 + 1 x 0.30 + 2 x 0.20 + 3 x 0.15 + 4 x 0.10 + 5 x 0.05
= 1.8
Average Mean = 1.8
Determine whether PQ and UV are parallel,
perpendicular, or neither.
1.P(-3,-2), Q(9,1), U(3,6), V(5,-2)
2.P(-10,7), Q(2,1), U(4,0), V(6,1)
3.P(1,1), Q(9,8), U(-6,1), V(2,8)
4.P(-4,0), Q(0,3), U(-4,-3), V(8,6)
5.P(-9,2), Q(0,1), U(-1,8), V(-2,-1)
Answer:
The answer is below
Step-by-step explanation:
The slope of a line (m) is given by:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Two lines are parallel if they have the same slope and perpendicular if the product of their slope is -1.
1)
[tex]Slope\ of\ PQ=\frac{1-(-2)}{9-(-3)}=\frac{1}{4} \\\\Slope\ of\ UV=\frac{-2-6}{5-3}=-4[/tex]
Since the product of their slope is -1, they are perpendicular
2)
[tex]Slope\ of\ PQ=\frac{1-7}{2-(-10)}=-\frac{1}{2} \\\\Slope\ of\ UV=\frac{1-0}{6-4}=\frac{1}{2}[/tex]
Since the slope is not the same or product of their slope is not -1, they are neither parallel or perpendicular
3)
[tex]Slope\ of\ PQ=\frac{8-1}{9-1}=\frac{7}{8} \\\\Slope\ of\ UV=\frac{8-1}{2-(-6)}=\frac{7}{8}[/tex]
Since the slopes are the same, they are parallel
4)
[tex]Slope\ of\ PQ=\frac{3-0}{9-(-4)}=\frac{3}{4} \\\\Slope\ of\ UV=\frac{6-(-3)}{8-(-4)}=\frac{3}{4}[/tex]
Since the slopes are the same, they are parallel
5)
[tex]Slope\ of\ PQ=\frac{1-2}{0-(-9)}=-\frac{1}{9} \\\\Slope\ of\ UV=\frac{-1-8}{-2-(-1)}=9[/tex]
Since the product of their slope is -1, they are perpendicular
Answer:
9
Step-by-step explanation:
For each point, identify the axis or quadrant where the point is located.
Drag and drop the choices into the boxes to complete the table.
HELP PLEAASSEE!
Answer:
(0,6) ==> y-axis
(5,-2) ==> Quadrant IV
(-1,10) ==> Quadrant II
(5,0) ==> x-axis
(8.7,2.3) ==> Quadrant I
[tex]( - \frac{1}{4} \: \: \: - 6 \frac{1}{2} ) \: = = > quadrant \: iii[/tex]
Dexter runs around a track at 10 laps in 20 minutes. How many laps per minute is that?
Answer:
2
Step-by-step explanation:
20/10=2
The answer is:
30 seconds!