The polar coordinates for the point (-8, 0) are (8, π) or (8, 3.1416).
The point with Cartesian coordinates (-8,0) lies on the x-axis and is 8 units to the left of the origin. To find its polar coordinates, we need to find the distance from the origin to the point and the angle that the line connecting the point and the origin makes with the positive x-axis.
Since the point is on the x-axis, the distance from the origin is simply the absolute value of the x-coordinate, which is 8. The angle can be found using the arctangent function, which gives us the angle that the line makes with the positive x-axis in radians. In this case, the angle is 0 radians (or 0 degrees) since the line is horizontal.
To convert Cartesian coordinates (x, y) to polar coordinates (r, θ), we can use the following formulas:
r = √(x² + y²)
θ = arctan(y/x)
For the given Cartesian coordinates (-8, 0):
r = √((-8)² + (0)²) = √(64) = 8
θ = arctan(0/(-8)) = 0
However, since the point is on the negative x-axis, we should adjust the angle θ:
θ = π
Therefore, the polar coordinates of the point with Cartesian coordinates (-8,0) are (8,0).
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A=0/66,b=0/066,c=2/3,d60% what is the probability that d will land on tails
A)distributive property of multiplication over subtraction
B)subtraction property of equality
C)associative property of multiplication
D)multiplication property of equality
Answer: sup brendalys it’s me Timotheus
Step-by-step explanation:
The answer is c I think
An automobile trip started at 8:35 A.M. and was completed at 2:15 P.M. on the same day. How long did the trip take?
(A) 4 hrs. 20 min.
(B) 4 hrs. 40 min.
(C) 6 hrs. 20 min.
(D) 5 hrs. 40 min.
(E) 5 hrs. 20 min.
Answer:
D
Step-by-step explanation:
If we do 8:35 + 40 mins it equals to 9:15
So then we have to add 5 hours to equal to 2:15 :D
A recipe calls for 1/3 of a cup of milks for 10 cookies How many cups of milk are needed to make 120 cookies
Answer:
You are gonna need 4 cups of milk.
Step-by-step explanation:
1/3 for 10 cookies so x 3= 1 cup for 30 cookies. 1 cup and 30 cookies x 4 = 4 cups and 120 cookies
a rectangle has one side of 8 cm. how fast is the area of the rectangle changing at the instant when the other side is 13 cm and increasing at 2 cm per minute?
30 is the area of the rectangle changing at the instant when the other side is 12 cm and increasing at 3cm per minute.
Area of a Rectangle is what?Rectangle's area is equal to its length times its width.
Given,
A rectangle has a 10 cm side.
We must determine how quickly the rectangle's area changes while one side is 12 cm and growing at a rate of 3 cm per minute.The formula for this is A=10x.Now make a distinction based on t.10 dx/dt = dA/dtat a rate of 3 centimeters per minutedx/dt=3dA/dt=10 (3) (3)dA/dt=30Consequently, 30 is the area of the rectangle that changes at the instant when the other side is 12 cm and growing at a rate of 3 cm per minute.
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What is this one for factor to this?
4(-8x + 5) – (-33x – 26) =
Answer:
1x + 46 or x + 46
Step-by-step explanation:
4(-8x + 5) – (-33x – 26)
-32x + 20 + 33x + 26
1x + 46
or x + 46
ill give brainliest!
If events A and B are non-overlapping events, how do you find the probability that one or the other occurs?
Answer:
if it does not overlap then you just find the possibility if one occurs.
Step-by-step explanation:
Answer:
If events A and B are non-overlapping, then to find their probability we just need to add the probability of each even occurring which will given us A or B.
my life depends on this plz someone help
is 2 4 1 2 3 3 5 in the span of the columns of a? what about 2 4 3 2 1 3 5
We were able to express the given vectors as linear combinations of the columns of matrix a, which means that they are in the span of the columns of a. 2 4 3 2 1 3 5 can be written as 2a1 + 2a2 + 0a3.
To determine whether a given vector is in the span of columns of a matrix, we need to check whether that vector can be expressed as a linear combination of the columns of the matrix.
Let's assume that matrix a has the following columns:
a = [ 1 2 3
2 4 3
3 6 5
4 8 7 ]
For the first vector, 2 4 1 2 3 3 5, we can write it as a linear combination of the columns of a as follows:
2 4 1 2 3 3 5 = 2a1 + 2a2 - 2a3
Therefore, the first vector is in the span of the columns of a.
For the second vector, 2 4 3 2 1 3 5, we can write it as a linear combination of the columns of a as follows:
2 4 3 2 1 3 5 = 2a1 + 2a2 + 0a3
Therefore, the second vector is also in the span of the columns of a.
In both cases, we were able to express the given vectors as linear combinations of the columns of matrix a, which means that they are in the span of columns of a.
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What is the conversion factor between centimeters and pounds.
1
16
4
There isn’t one.
Answer:
None of the choices
Step-by-step explanation:
1 cubic centimeter (cu cm) = 0.002204623 pound (lb)
Correct me if I'm wrong. I hope it helps.
There is no conversion factor to convert centimeters into pounds, the correct option is D.
What is a Conversion Factor?A conversion factor is the amount by which a unit should be multiplied to convert into the other unit.
There are numerous units for measuring one thing,
The length can be measured in centimeter, meter, milimeter, kilometer, miles etc.
The weight can be measured in kilogram, gram, ounce, pound etc.
It is asked to tell the conversion factor between centimeters and pounds.
There is no such unit that converts one unit which measures length to other unit which measures weight.
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Look At the Screenshots Please
Integer -17 represents Rudy's score for 2 weeks.
What are integers?A zero, a positive natural number, or a negative integer with a minus sign is an integer. The negative numbers are the additive inverses of their positive counterparts. The set of integers is frequently denoted by the Z in mathematical notation.Rudy's scores:
Week 1: 15Week 2: -32Then, add 15 and -32 as follows:
= 15 + (-32)= 15 - 32= - 17Therefore, integer -17 represents Rudy's score for 2 weeks.
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What is the slope of the line segment? (5 points)
15
12
9
6
3
0 1 2 3 4
1) -3
2) -
1
3
3) 1
11/3
4) 3
Answer:
4) 3
Step-by-step explanation:
Slope = rise ÷ run
= 12 ÷ 4
= 3
OR
Slope = y2– y1 ÷ x2 – x1
= 12 – 3 ÷ 4 – 1
= 9 ÷ 3
= 3
Solve for x. 2x−5=−x+7
Answer:
x = 4
Step-by-step explanation
2x−5+x=−x+7+x
3x−5=7
3x−5+5=7+5
3x=12
x=4
Answer:
x = 4
Step-by-step explanation:
You need to isolate the variable on one side first so that the equation is easier to solve. To do that, add x to both sides to get 2x + x, which is 3x. This gets rid of the -x on the other side and results with the new equation
3x - 5 = 7. Add 5 to both sides to get 3x = 12, then divide both sides by 3 to get x = 4.
You can check your work by plugging in 4 for x.
2(4) - 5 = -(4) + 7
8 - 5 = 3
3 = 3
Therefore, x is equal to 4.
Hope this helped! Have a good day!
Pls help o have to return this today
Answer:
Which part of the story's plot structure does this sentence illustrate? I think its B. Climax
Log((x^2 y^3)(cube root x^2 y^5))
The simplified expression is (8/3)log(x) + (8/3)log(y).
How to simplify the expression logTo simplify the expression log ((x^2 y^3)(cube root x^2 y^5)),
First we can use the following logarithmic properties:
log(ab) = log(a) + log(b)log(a/b) = log(a) - log(b)log(a^b) = b * log(a)log √a = (1/2)log(a)log a^cubic root = (1/3)log(a)Using these properties, we can simplify the expression as follows:
log((x^2 y^3)(cube root x^2 y^5))
= log(x^2 y^3) + log(cube root x^2 y^5)
= log(x^2) + log(y^3) + (1/3)log(x^2 y^5)
= 2log(x) + 3log(y) + (1/3)(2log(x) + 5log(y))
= 2log(x) + 3log(y) + (2/3)log(x) + (5/3)log(y)
= (8/3)log(x) + (8/3)log(y)
Therefore, the simplified expression is (8/3)log(x) + (8/3)log(y).
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Decreasing Size of Cattle Herd. Drought has been the major reason for the decrease in the U. S. Cattle herd in recent years. The number of cattle is at its lowest level since 1952. In 2006, there were 96. 6 million head of cattle. This number had fallen to 87. 7 million by 2014. (Source: U. S. Department of Agriculture) Find the average rate of change in the number of cattle from 2006 to 2014
the average rate of change in the number of cattle from 2006 to 2014 is approximately -1.1125 million head of cattle per year.
To find the average rate of change in the number of cattle from 2006 to 2014, we need to divide the total change in the number of cattle over that period by the number of years.
The total change in the number of cattle is:
87.7 million - 96.6 million = -8.9 million
The number of years is:
2014 - 2006 = 8
So, the average rate of change is:
-8.9 million / 8 years = -1.1125 million per year
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PLEASE HELP!!! URGENT!!!!!!!!!!!!
Answer:
C
Step-by-step explanation:
For a relation to be a function then every value of x must map to exactly one unique value of y.
Here every x- value corresponds to exactly one y- value
Then the ordered pairs represent a function
Samantha and Phil share some money in the ratio 3:5.
Phil receives £235.
Calculate how much money was shared.
Please help
If Phil received £235 in the ratio 3:5, we can use this information to find out how much money was shared in total.
We know that the ratio of Samantha's share to Phil's share is 3:5.
This means that for every 3 parts of the total money that Samantha gets, Phil gets 5 parts.
We can use this information to set up a proportion:
(Samantha's share) / (Phil's share) = (3) / (5)
We know that Phil's share is £235, so we can substitute that into the proportion:
(Samantha's share) / (235) = (3) / (5)
To find the total amount of money shared, we can cross-multiply and divide:
Samantha's share = (3/5) * 235
Samantha's share = 141
To find the total amount of money shared, we can add the amount Samantha received to the amount Phil received:
141 + 235 = £376
Therefore, £376 was shared in total.
imagine that we rolled a fair, 6-sided die 1000 times.out of 1,000 rolls, how many times do you think the die would come up even (2,4, or
When we rolled a fair, 6-sided die 1000 times. out of 1,000 rolls, the actual number of even rolls may vary due to the inherent randomness of the process.
If we assume that the die is fair and unbiased, each of the six sides has an equal probability of landing face-up. Since we are interested in the number of times the die comes up even (2, 4, or 6), we need to consider that half of the possible outcomes are even numbers.
Out of the six possible outcomes (1, 2, 3, 4, 5, 6), three are even (2, 4, 6). Therefore, the probability of rolling an even number on a fair six-sided die is 3/6 or 1/2.
If we roll the die 1000 times, we can expect that the die would come up even approximately half of the time, as per the probability. Half of 1000 is 500, so we would expect the die to come up even around 500 times out of 1000 rolls.
It's important to note that this is an expected value based on probability, and in practice, the actual number of even rolls may vary due to the inherent randomness of the process.
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Can someone plz help
Step-by-step explanation:
A list of all possible outcomes in a given event is:
Sample space
What do I do in this problem?
Answer: p=60
Step-by-step explanation:
Angles on a straight line always add up to 180 degrees.
So, because you have an angle on the straight line with the arrow going up, you have to do:
180-110=70
This will give you the angle inside of the triangle that is next to 110.
Then you would find the angle next to 130 (using the horizontal line) by using the same method so you would do:
180-130=50
This gives you the angle inside the triangle next to 130.
Then because a triangle always adds up to 180 you would add up the 2 angles you have figured out like this:
70+50=120
Then you would take the answer away from 180 like this:
180-120=60
So, p=60
Hope this helps :)
For each of the following vector spaces V , construct a basis containing the given set of vectors.
(a) V = R 4 , 1 0 1 0 , 1 1 1 0 , 1 0 −1 0
(b) V = R 4 , 1 1 0 0 0 0 1 1
(c) V = M22, {[1 0 0 0] , [ 0 2 0 0] , [ 0 0 0 1]
Basis containing the given set of vectors is as follows:
(a) { (1, 0, 1, 0), (0, 1, 1, 0) }; (b) { (1, 0, 0, 0), (0, 1, 0, 0), (0, 0, 0, 1) }
(c) { [1 0 0 0], [0 2 0 0], [0 0 0 1] }
To construct a basis of V, we can use Gaussian elimination. We can start by creating an augmented matrix with the given vectors as columns:
(a)
| 1 0 1 0 |
| 0 1 1 0 |
| 1 0 -1 0 |
| 0 0 0 0 |
Perform elementary row operations to get matrix in row echelon form:
| 1 0 1 0 |
| 0 1 1 0 |
| 0 0 -2 0 |
| 0 0 0 0 |
Therefore, a basis for V is:
{ (1, 0, 1, 0), (0, 1, 1, 0) }
(b)
| 1 0 0 0 |
| 1 0 0 0 |
| 0 1 0 0 |
| 0 1 0 0 |
| 0 0 0 1 |
| 0 0 0 1 |
Perform elementary row operations to get matrix in row echelon form:
| 1 0 0 0 |
| 0 1 0 0 |
| 0 0 0 1 |
| 0 0 0 0 |
| 0 0 0 0 |
| 0 0 0 0 |
Therefore, a basis for V is:
{ (1, 0, 0, 0), (0, 1, 0, 0), (0, 0, 0, 1) }
(c) We can see that given set of vectors is already a basis for M22, since they are linearly independent. Therefore, a basis for V is:
{ [1 0 0 0], [0 2 0 0], [0 0 0 1] }
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Find the values of x and y.
Please show steps
Multiply (6 - 5)².
OA) 11+ 60i
B) 36 +25i
OC) 11-60i
OD) 36-25i
Answer:
\(\textsf{C)} \quad 11-60i\)
Step-by-step explanation:
\(\textsf{Multiply }\: (6-5i)^2\)
\(\implies (6-5i)(6-5i)\)
\(\implies 6(6-5i)-5i(6-5i)\)
\(\implies 36-30i-30i+25i^2\)
\(\implies 36-60i+25i^2\)
\(\textsf{Remember that }i^2=-1:\)
\(\implies 36-60i+25(-1)\)
\(\implies 36-60i-25\)
\(\implies 36-25-60i\)
\(\implies 11-60i\)
(3,4) is an example of a/an
Answer:
Ordered pair
Definition: An ordered pair is a pair of numbers in parentheses that declare the location of a point on a graph.
What type of function is represented by the table
X= -4 -3 -2 -1
Y= 16 8 4 2
The function represented by the table is: \(Y = (1/2)^X\).This is an example of an exponential function.
What is Algebraic function ?
An algebraic function is a function created by applying the operation of addition, subtraction, multiplication, division, and extracting the nth root
To determine the type of function represented by the table, we can look at the pattern of the values of X and Y.
As we can see from the table, as X increases by 1, Y is divided by 2. This means that the relationship between X and Y is not linear but rather exponential. Specifically, the function is of the form Y = \(a(1/2)^X,\) where a is a constant.
To find the value of a, we can use one of the points in the table. Let's use the first point, (-4, 16):
16 = \(a(1/2)^(-4)\)
Multiplying both sides by\((1/2)^(-4)\):
\(16 * (1/2)^4\) = a
a = 16 * (1/16) = 1
Therefore, the function represented by the table is:
\(Y = (1/2)^X\)
This is an example of an exponential function.
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I need my help with a homework problem square root of 15 / square root of 12
The expressions when evaluated are 3/5 and 1/2√5
How to evaluate the expressionsFrom the question, we have the following parameters that can be used in our computation:
√9/√25
Evaluate the roots
So, we have
3/5
For the second expression, we have
√15/√12
This gives
√(15/12)
Divide
√(5/4)
So, we have
1/2√5
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What type of triangle has exactly 2 equal sides and one right angle?
isosceles triangle
right isosceles triangle
obtuse isosceles
right triangle
Answer:
Right isosceles triangle
Step-by-step explanation:
I took the quiz and got it wrong, but it told me the correct answer
A right isosceles triangle has exactly 2 equal sides and one right angle.
Given that, a triangle has exactly 2 equal sides and one right angle.
Isosceles triangle: An isosceles triangle is a triangle that has two sides of equal length.
Right isosceles triangle: An isosceles right triangle is defined as a right-angled triangle with an equal base and height which are also known as the legs of the triangle.
Obtuse isosceles: An isosceles obtuse triangle is a triangle in which one of the three angles is obtuse (lies between 90° and 180°), and the other two acute angles are equal in measurement.
Right triangle: A right triangle is a triangle in which one angle is 90°.
Hence, right isosceles triangle has exactly 2 equal sides and one right angle.
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1) After 2 years, Bob made $20 per hour. After 5 years he made $24 per hour. How much will
he make after 8 years?
Answer:
$40880
Step-by-step explanation:
During the 2 years, he made $14600 = 20 x 365 x 2
And during the next 5 years, he made $17520 = 24 x 365 x 5
Those combined are 32120 and it also says 8 years.
And that was only 7 so with the amount he makes right now($24).
In another year that would make the total $40880 in 8 years.