Convert the given polar equation into a Cartesian equation T= 3sin 0 + 5cos e
To convert the polar equation T= 3sin θ + 5cos θ into a Cartesian equation, we can use the following identities:
sin θ = y / r
cos θ = x / r
where r is the distance from the origin to the point (x, y) in the Cartesian plane. Substituting these expressions into the given polar equation, we get:
T = 3(y / r) + 5(x / r)
Multiplying both sides by r, we obtain:
Tr = 3y + 5x
This is the Cartesian equation of the given polar equation.
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What is the measure of the central angle that defines the shaded area below if the shaded area takes up 70% of the circle?
Tuesday, May 4, 2021 6 Grade Question of the Day Methods of Division Ashleigh's band won $854 in a talent contest. The band has five members. How much money will each member get if they split the winnings equally? 1. Identify (write) the key word in the passage that requires you to add, subtract, multiply or divide 2. Perform the operation(s) 3. Show all work 4. Upload the assignment
The total prize is $854. and in order to split the amount of money equally we divide the total price in 5 equal parts(You should identigy the word "split" to let you know you need to divide):
\(\frac{854}{5}=\text{ }170.8\)So, every member will get $170.8
I need helppppp
what is 3/9 divided by 4
Answer:
3/36
Simplified=1/12
2 1 Simplify the expression by combining like terms. i 3n + 6p + 3+n
Answer:
4n + 6p + 3
Step-by-step explanation:
3n + 6p + 3+n
In this equation, 3n + n are like terms. Adding 3n + n together gives 4n
4n + 6p + 3
Mr. Cruz bought 3 roses for $30 each. How much is his change if he paid with a $100?
a
O b
P
$100-(3 x $30)= N
$3 x $30-$100 = N
100-$30 x 3=N
(3 x $30) - 100 = N
Answer:
10 is the answerplease i
If triangle vwx is congruent to triangle day, find the length of yx
Triangle ABC's side BC measures roughly 4.17 inches when side AB's length is 10 inches, according to our analysis of the similarities between triangles XYZ and ABC.
In the described situation, the angle X of the right triangle XYZ is 90 degrees.
XY = 5 inches and XZ = 12 inches are the lengths of the other two sides.
We are also informed that triangle XYZ and triangle ABC are comparable, with angle A being 90 degrees and side AB being 10 inches in length.
The length of side BC needs to be determined.
The corresponding sides of the two triangles are proportionate because they are comparable.
Let's use the ratio of corresponding sides to find the length of BC.
In triangle XYZ, the ratio of XY to XZ is equal to the ratio of BC to AB. Therefore:
XY / XZ = BC / AB
Plugging in the given values:
5 / 12 = BC / 10
To solve for BC, we can cross-multiply:
\(5 \times 10 = 12 \times BC\)
\(50 = 12 \times BC\)
Dividing both sides by 12:
50 / 12 = BC
Simplifying the expression:
BC ≈ 4.17 inches
Therefore, the length of side BC in triangle ABC is approximately 4.17 inches.
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Question may be like:
In a right triangle XYZ, angle X is 90 degrees. The lengths of the other two sides, XY and XZ, are 5 inches and 12 inches, respectively. If triangle XYZ is similar to triangle ABC, where angle A is 90 degrees, and the length of side AB is 10 inches, find the length of side BC.
please answer a and b fast
15 marks
Answer:
a) $670
b) $6600
Step-by-step explanation:
a) The decrease by 9.4% means that the price of 1 kg of silver is 90.6% of the original price
0.906P = 607, P is the price of 1 kg of silver on 1st January 2015
P = 607/0.906 = 669.9779249 ≈ $670
b) The decrease of the price was $1320, which is 20%.
0.80P = P - 1320, P is the price of 1 tonne of copper on 1st January 2010
-0.20P = 1320
P = 1320/(-0.20) = $6600
Why was Europe weak after WW2?
The Western Allies, carry out the protection of democratic states from the perceived threat of Communist occupation (see the part on the Cold War and European integration)
began to begin a set of international organizations so that national governments could work jointly to resolve common problems on issues ranging from defense and security to moral trade to rebuild European nations physically and economically shattered by the Second World War.
Because so much had been demolished during the war, many European countries were heavily in debt to the United States and could not bear to rebuild.
There was a scarcity of food and raw materials; thousands of refugees were still those do not have homes.
Due to these problems, there were almost no jobs and unemployment was high.
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Describing Sets: Describe the sets given below using the Set
Builder Method and explain
(i) {1,3,5,7,9,...}
(ii) {1,1,2,3,5,8...}
(iii) { Tea, Coffee }
(iv) {7,−7}
(i) {1, 3, 5, 7, 9, ...} can be described as {x | x is an odd positive integer}.
(ii) {1, 1, 2, 3, 5, 8, ...} can be described as {x | x is a Fibonacci number}.
(iii) {Tea, Coffee} is a finite set with explicitly listed elements.
(iv) {7, -7} can be described as {x | x is an integer and |x| = 7
(i) The set {1,3,5,7,9,...} can be described using the Set Builder Method as {x | x is an odd positive integer}. This means that the set consists of all positive odd integers.
In the given set, the pattern is evident: starting from 1, each subsequent element is obtained by adding 2 to the previous element. This generates a sequence of odd positive integers. By expressing the set using the Set Builder Method as {x | x is an odd positive integer}, we define the set as the collection of all elements (x) that satisfy the condition of being odd positive integers.
(ii) The set {1,1,2,3,5,8...} can be described using the Set Builder Method as {x | x is a Fibonacci number}. This means that the set consists of all Fibonacci numbers.
In the given set, the pattern follows the Fibonacci sequence, where each element is obtained by adding the two previous elements. The set starts with 1 and 1, and each subsequent element is the sum of the two preceding elements. By expressing the set using the Set Builder Method as {x | x is a Fibonacci number}, we define the set as the collection of all elements (x) that satisfy the condition of being Fibonacci numbers.
(iii) The set {Tea, Coffee} cannot be described using the Set Builder Method because it is a finite set with explicitly listed elements. The set contains two elements: Tea and Coffee. It represents a collection of these specific items and does not follow a pattern or condition that can be expressed using the Set Builder Method.
(iv) The set {7, -7} can be described using the Set Builder Method as {x | x is an integer and |x| = 7}. This means that the set consists of all integers whose absolute value is equal to 7.
In this set, we have two elements: 7 and -7. These are the only integers whose absolute value is 7. By expressing the set using the Set Builder Method as {x | x is an integer and |x| = 7}, we define the set as the collection of all elements (x) that satisfy the condition of being integers with an absolute value of 7.
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The time required to bake a chocolate muffin y is2 minutes more than time required to bake a vanilla muffin,x
The time required to bake a chocolate muffin (y) is 2 minutes more than the time required to bake a vanilla muffin (x).
Let's represent the time required to bake a vanilla muffin as x. According to the given information, the time required to bake a chocolate muffin is 2 minutes more than x. We can express this relationship using an equation:
y = x + 2
In this equation, y represents the time required to bake a chocolate muffin, and x represents the time required to bake a vanilla muffin. The equation states that y is equal to x plus 2. This means that if it takes x minutes to bake a vanilla muffin, it will take x + 2 minutes to bake a chocolate muffin.
The equation y = x + 2 shows the relationship between the time required to bake the two types of muffins. By adding 2 minutes to the time for baking a vanilla muffin, we can determine the time needed for baking a chocolate muffin.
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Simplify.
Rewrite the expression in the form 5”.
(5-8)(5-1) =
Answer:
\((5 ^{ - 8} )( {5}^{ - 10} ) = {5}^{ - 18} = 2.62 \times {10}^{ - 13} \)
I hope I helped you^_^
I hope this help you
Two functions are defined as follows: f : x → 2x - 3 and g : x → x2 - 1
(i) Calculate f(5)
(ii) g( - 3) =
(iii) fg(x)=
(iv)gf(x)=
(v) f-1(x)=
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:yz
Step-by-step explanation:
A survey shows that ..
Answer:
It is C, 66.67%
Step-by-step explanation:
If f(x)=x⁴ + 3x³ - x² + 6, find f(-3)
Answer:
3x^{3} -66
Step-by-step explanation:
PLZ HELP as soon as possible!!!
Answer:
D
Step-by-step explanation:
1
Tony runs 13 feet per second.
Zach runs 296 feet in 23 seconds.
Ron runs 1 mile in 527 seconds.
Liz runs 597 feet in 1 minute.
Thus, Tony runs at a speed of 13 feet per second, Zach runs at a speed of 12.87 feet per second, Ron runs at a speed of 10 feet per second, and Liz runs at a speed of 9.95 feet per second.
Tony runs at a speed of 13 feet per second, which means he covers a distance of 13 feet in one second.
Zach, on the other hand, runs 296 feet in 23 seconds, so we need to calculate his speed. To do that, we divide the distance by the time, which gives us 12.87 feet per second.
Ron runs one mile in 527 seconds, which is equivalent to 5,280 feet. Therefore, his speed is 10 feet per second, which is the same as running at a pace of 6 minutes per mile. Finally, Liz runs 597 feet in one minute, so her speed is 9.95 feet per second.
In summary, Tony runs at a speed of 13 feet per second, Zach runs at a speed of 12.87 feet per second, Ron runs at a speed of 10 feet per second, and Liz runs at a speed of 9.95 feet per second.
It's important to note that the distances and times given in these examples are specific to each person and may vary depending on the circumstances.
However, by calculating their speeds, we can compare their performances and determine who is running faster or slower than the others.
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Which Of The Following Statements Are Correct In The Simple CLRM Of One Variable And An Intercept Y=Β1+Β2X+U ? (Choose All Correct Answers) If We Know That Β2^<0 Then Also Β^1≪0. The Sample Correlation Of X And U^ Is Always Zero. The OLS Estimators Of The Regression Coefficients Are Unbiased. The Estimator Of Β2 Is Efficient Because It Has Lower Variance
The correct statements in the simple classical linear regression model (CLRM) with one variable and an intercept (Y = β1 + β2X + U) are:
1. If we know that β2 < 0, then also β1 < 0.
2. The OLS estimators of the regression coefficients are unbiased.
Let's analyze each statement:
1. If we know that β2 < 0, then also β1 < 0.
This statement is correct. In the simple CLRM, β1 represents the intercept, and β2 represents the slope coefficient. If the slope coefficient (β2) is negative, it implies that there is a negative relationship between X and Y. Consequently, the intercept (β1) needs to be negative to account for the starting point of the regression line.
2. The OLS estimators of the regression coefficients are unbiased.
This statement is correct. In the ordinary least squares (OLS) estimation method used in the simple CLRM, the estimators of β1 and β2 are unbiased. This means that, on average, the OLS estimators will be equal to the true population values of the coefficients. The unbiasedness property is a desirable characteristic of the OLS estimators.
The other two statements are incorrect:
3. The sample correlation of X and U^ is always zero.
This statement is not necessarily true. The error term (U) in the simple CLRM represents the part of the dependent variable (Y) that is not explained by the independent variable (X). The sample correlation between X and the estimated error term (U^) can be different from zero if there is a relationship between X and the unexplained variation in Y.
4. The estimator of β2 is efficient because it has lower variance.
This statement is incorrect. The efficiency of an estimator refers to its ability to achieve the lowest possible variance among all unbiased estimators. In the simple CLRM, the OLS estimator of β2 is indeed unbiased, but it is not necessarily efficient. Other estimation methods or assumptions may yield more efficient estimators depending on the characteristics of the data and the model.
To summarize, the correct statements are:
- If we know that β2 < 0, then also β1 < 0.
- The OLS estimators of the regression coefficients are unbiased.
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WHAT X !!!!! PLEASE HELP !!!
50 POINTS! PLEASE HURRY!
f(x) = x2. What is g(x)?
Answer: g(x) = -x^2 -3
Step-by-step explanation:
We know that the y-intercept is -3, so we can eliminate the first 2 answers. For the last two answers, c is wrong because it is a negative slope and if we square root it, it will become a positive slope our graph slope is not positive, so the answer is d.
Árbol Factorial de 48
Answer:
Los factores de 48 son 1, 2, 3, 4, 6, 8, 12, 16, 24 y 48.
PLS HELP THIS IS DUE TMR MORNING
Answer:
Combination of -9 is -6 and -3
Combination of 3y is 5y and -2y
Combination of 7x is -2x+9x
Step-by-step explanation:
Planes A and B intersect.
Which describes the intersection of line m and line n?
m
O point w
O point X
O point Y
O point Z
Answer:
Hello!
____________________
Your answer would be (A) O point W.
Step-by-step explanation: Intersection of the two lines is defined as the point where the two lines cross or meet each other.
It is given that the lines m and n intersect each other, which means that they must be intersecting each other at some point.
From the figure, it can be seen that in plane A, the lines m and n intersect each other at point W, thus point W is the point of intersection of the two line m and n.
Hence, option A is correct.
Hope this helped you!
Answer: point w hope this helped
Step-by-step explanation:
Why is your amount owed considered when determining your credit score?
Answer:
Owing cash on credit accounts doesn't really mean you're a high-hazard borrower with a low credit Score. Notwithstanding, when a high level of an individual's accessible credit is been utilized, this can show that an individual is overextended, and is bound to make late or missed installments.
The amount owed on different accounts decides 30% of the FICO score. Aside from the general amount owed, the FICO scores think about the amount claimed freely on explicit accounts. On the off chance that you utilize a noteworthy part of the credit you are qualified for, it can negatively affect the FICO scores. Be that as it may, utilizing a less amount from as far as possible allowed can give you a superior score than not utilizing the credit by any stretch of the imagination.
Step-by-step explanation:
I need help asap I will give 30 points!!!
Answer: A. 2x+2y
Step-by-step explanation:
Answer:
its d
Step-by-step explanation:
interference is a property of a. light waves. b. sound waves. c. water waves. d. all of these e. none of these
Interference is a property of ALL the given wave options, which are light waves, sound waves, and water waves.
Interference is the phenomenon of two or more waves combining to form a resultant wave of greater, lower, or the same amplitude.
When two waves meet at the same point at the same time, they either combine constructively (resulting in the formation of a wave of greater amplitude) or destructively (resulting in the formation of a wave of lower amplitude).
For instance, when two sound waves or light waves meet, they create a resultant wave whose amplitude is equal to the sum of the two original waves.
This is known as constructive interference.
On the other hand, when two waves meet and their amplitudes are in opposite directions, they produce a resultant wave whose amplitude is equal to the difference between the two waves.
This is known as destructive interference.
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Find the surface area of the figure. Hint: the surface area from the missing prism inside the prism must be ADDED!
To find the surface area of the figure, we need to consider the individual surfaces and add them together.
First, let's identify the surfaces of the figure:
The lateral surface area of the larger prism (excluding the base)
The two bases of the larger prism
The lateral surface area of the smaller prism (excluding the base)
The two bases of the smaller prism
The lateral surface area of a prism is given by the formula: perimeter of the base multiplied by the height.
The bases of the prisms are rectangles, so their areas can be calculated by multiplying the length by the width.
To find the missing prism's surface area, we need to consider that it is a smaller prism nested inside the larger prism. The lateral surface area and bases of the missing prism should also be included.
Once we have calculated the individual surface areas, we add them together to find the total surface area of the figure.
Without specific measurements or dimensions of the figure, it is not possible to provide a numerical answer. Please provide the necessary measurements or dimensions to calculate the surface area.
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What is 1+1+1+1+11+1+1+1+11+1x0+1?
The value of the expression 1+1+1+1+11+1+1+1+11+1x0+1 is 30.
To evaluate the given expression, we follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).
First, we perform the multiplication: 1x0 = 0. The expression now becomes 1+1+1+1+11+1+1+1+11+0+1.
Next, we perform the addition and subtraction operations from left to right: 1+1 = 2, 2+1 = 3, 3+1 = 4, 4+11 = 15, 15+1 = 16, 16+1 = 17, 17+1 = 18, 18+11 = 29, 29+0 = 29, and finally 29+1 = 30
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PLEASE GIVE BRAINLIEST <33
Answer:
The answer is 30
Step-by-step explanation:
First we'll start with PEMDAS
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
We'll start with multiplication: 1x0=0
Now the equation is: 1 + 1 + 1 + 1 + 11 + 1 + 1 + 1 + 11 + 1
Since we have two sets of 11, it would equal 22
Now the equation is: 22 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1
We have eight sets of 1. Adding them all together would equal 8.
Now the equation is: 22 + 8 which would equal 30
use the provided dimensions to find the total volume of the cake
2 in
2 1/2 in
3 in
3 1/2 in
4 1/2 in
5 1/2 in
Using the dimensions provided the total volume of the cake is 350 cubic inches.
To find the total volume of the cake, we need to calculate the volume of each individual piece and then add them together.
Given dimensions:
Piece 1: 2 in
Piece 2: 2 1/2 in
Piece 3: 3 in
Piece 4: 3 1/2 in
Piece 5: 4 1/2 in
Piece 6: 5 1/2 in
To calculate the volume of each piece, we use the formula for the volume of a rectangular prism:
Volume = Length × Width × Height
Piece 1: Volume = 2 in × 2 in × 2 in = 8 cubic inches
Piece 2: Volume = 2.5 in × 2.5 in × 2.5 in = 15.625 cubic inches
Piece 3: Volume = 3 in × 3 in × 3 in = 27 cubic inches
Piece 4: Volume = 3.5 in × 3.5 in × 3.5 in = 42.875 cubic inches
Piece 5: Volume = 4.5 in × 4.5 in × 4.5 in = 91.125 cubic inches
Piece 6: Volume = 5.5 in × 5.5 in × 5.5 in = 166.375 cubic inches
Now, we can calculate the total volume by adding up the volumes of all the pieces:
Total Volume = 8 + 15.625 + 27 + 42.875 + 91.125 + 166.375
Total Volume = 350 cubic inches
Therefore, the total volume of the cake is 350 cubic inches.
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