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Scrat [10]
2 years ago
8

Which features are present in this polar graph?

Mathematics
2 answers:
kherson [118]2 years ago
5 0

Answer with explanation:

When point (x,y) in two dimensional plane is converted to polar plane,that is in terms of (r,α)

1. Origin (0,0)→Pole

2. x=0,y=0 becomes can be written as→ equation of polar axis,which is equal to 0.

the two curves drawn here has following line of symmetry

1. Symmetry along four lines of blade shaped curve,one along polar axis that is x=0,y=0 and two along,x=y and y=-x.

2. The curve which is in the shape of Cardioid has 1 line of symmetry that is , x=0.

The features which are present in the polar graph

Option:

A. Symmetry about the line  

B. Symmetry about the polar axis = 0

xeze [42]2 years ago
4 0

Answer:

The correct answers are:

Symmetry about the line theta = pi/6

Symmetry about the line theta = pi/2

Explanation: I just took the test.

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Marine scientists have previously measured the weight of a wide-ranging fish to be 9.0 lbs with a standard deviation of 0.35 lbs
fenix001 [56]
Given:
Actual: 9.0 lbs with standard deviation of 0.35 lbs
sample: 8.2 lbs

standard deviation means that the fish caught should be within the range of  8.65 and 9.35

9.00 + 0.35 = 9.35 lbs
9.00 - 0.35 = 8.65 lbs

The sample that had an average weight of 8.2 lbs is not a representative of the population because its weight goes beyond the standard deviation. 
8 0
2 years ago
Calculate the unpaid balance, finance charge, and new balance using the unpaid balance method. Note: interest rate is given as a
inn [45]
Unpaid balance 283.63-60=223.63
Finance charge
223.63*(0.015/12)=3.35
New balance
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5 0
2 years ago
Devon and his friends bought strawberry wafers for $3 per packet and chocolate wafers for $1 per packet at a carnival. They spen
Irina-Kira [14]
Hi there!

PART A:
The system of equations we would use would be:
x + y = 22 (amount of items)
3x + 1y = 30 (cost)

Variables:
x = the amount of strawberry wafers bought at the price of $3
y = the amount of chocolate wafers bought at the price of $1

PART B:
To solve, we'll use substitution because we can easily isolate a variable using the first equation.

Work:
x + y = 22 (first equation)
y = 22 - x (isolating a variable)
3x + 1y = 30 (second equation)
3x + (22 - x) = 30 (substituting into the second equation)
2x + 22 = 30 (simplifying)
2x = 8 (subtracting)
x = 4 strawberry wafers
4 + y = 22 (substituting x into the first equation to solve for y)
y = 18 chocolate wafers

ANSWER:
They bought 4 strawberry wafers and 18 chocolate wafers.

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
8 0
2 years ago
1.62 divided by 0.27
Snezhnost [94]

Answer:

The answer is 6

8 0
2 years ago
Read 2 more answers
Consider the product (x + y + z)2. If the expression is multiplied out and like terms collected, the result is: x2 + y2 + z2 + 2
VLD [36.1K]

Answer:

Part a: The coefficient of v^9w^2x^5y^7z^2 is 1.766 \times 10^{13}

Part b: The number of terms are 23751.

Step-by-step explanation:

part a

From the given equation the

(x+y+z)^2=x^2+y^2+z^2+2xy+2yz+2zx

So the coefficient of any term x^ny^nz^n is given as  

\dfrac{2!}{n!n!n!}

Similarly for the generic equation of coefficient of the term x_1^{r_1}x_2^{r_2}x_3^{r_3}......x_k^{r_k} in the equation of form (x_1+x_2+x_3+x_4......x_k)^n is given as  

\dfrac{n!}{r_1!r_2!r_3!....r_k!}

So now the coefficient of v^9w^2x^5y^7z^2  is given as

=\dfrac{25!}{9!2!5!7!2!}\\=1.766 \times 10^{13}

The coefficient of v^9w^2x^5y^7z^2 is 1.766 \times 10^{13}

Part b:

The number of terms is given as \left (\ {{m+n-1} \atop {n}}  \right )

where m is the number of variables which are 5 here

n is the power which is 25 so the number of variables is given as

\left (\ {{5+25-1} \atop {25}}  \right )\\\left (\ {{29} \atop {25}}  \right )\\\dfrac{29!}{25!4!}=23751

So the number of terms are 23751.

3 0
2 years ago
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