identify the parametric equations that represent the same path as the following parametric equations. show your work

x=3+ cos theta
y= 2 sin theta

A. x=3+cos 2 theta
y=2sin 2theta

B.x=cos theta
y=3+2sin theta

C. x=3+2 cos theta
y= 4 sin theta

D. x=2 sin theta
y= 3+cos theta


I know it’s A but i’m not sure how to do the work :(

The signature of the Principal Investigator on the final proposal does not imply responsibility for the availability of funding or the financial aspects of the project.

The complete question should be What does the signature of the Principal Investigator on the final proposal NOT imply responsibility for?

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The solution to the nonlinear system of equations is (x, y) = (-3, -2) and (x, y) = (1, 6). These points represent the coordinates where the two equations intersect and satisfy both equations simultaneously.

To solve the nonlinear system of equations:

Equation 1: \(y = -x^2 + 7\)

Equation 2: y = 2x + 4

We can equate the right sides of both equations since they both represent y.

\(-x^2 + 7 = 2x + 4\)

To simplify the equation, we can rearrange it to be in the standard quadratic form:

\(x^2 + 2x - 3 = 0\)

Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. In this case, let's use factoring:

(x + 3)(x - 1) = 0

From this equation, we get two possible solutions:

x + 3 = 0 => x = -3

x - 1 = 0 => x = 1

Now, we substitute these x-values back into either equation to find the corresponding y-values.

For x = -3:

y = 2(-3) + 4

y = -6 + 4

y = -2

For x = 1:

y = 2(1) + 4

y = 2 + 4

y = 6

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____________

\( \: \)

f(x) = 4x - 1

g(x) = 2x - 4

Soo :

(f o g)(x) = ...

= f(g(x))

= f(2x - 4)

= 4(2x - 4) - 1

= 8x - 16 - 1

= 8x - 17✔ (D.)

.

Answer:

y = 1        m = -3       b = 1

Step-by-step explanation:

y = mx + b                          y = -3x + 1

y = 1

m = -3

b = 1

Answer:SSS

Step-by-step explanation:

_1,0,1 are possible value of n

Supplementary angles are a pair of angles that add up to 180 degrees. In other words, if you have two angles that are supplementary, the sum of their measures is 180 degrees.

Supplementary angles can be adjacent or non-adjacent. Adjacent supplementary angles are two angles that share a common vertex and side, but whose non-shared sides form a straight line. Non-adjacent supplementary angles are two angles that are not next to each other, but whose sum is equal to 180 degrees.

Given that x + y = 180

If y = 56 degrees

x = 180 - 56

x = 124

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The group of people who participated in the study's sample survey was chosen at random to participate in it by the national grocery store chain. In this instance, the sample comprises the 1,000 customers from throughout the nation that participated in the survey. They are a segment of the total consumer base that frequents the chain's retail outlets.

The chain randomly surveyed 1,000 customers from around the country. It concluded from the study that 80% of all customers who hopped into the chain's stores were interested in the service. The nationwide grocery store chain randomly selected the participants in the study's sample survey from the general public.

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Answer:

813

Step-by-step explanation:

The solution for polynomials p(x) + q(x) is 7x³ + 3x² + 7x + 5

Given,

The polynomials

p(x) = 1 + 2x + 3x²

q(x) = 4 + 5x + 7x³

We have to find the solution for p(x) + q(x)

Then,

p(x) + q(x) = (1 + 2x + 3x²) + ( 4 + 5x + 7x³)

p(x) + q(x) = 7x³ + 3x² + 2x + 5x + 1 + 5

p(x) + q(x) = 7x³ + 3x² + 7x + 5

That is,

The solution for polynomials p(x) + q(x) is 7x³ + 3x² + 7x + 5

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Each letter should be matched to its correct term as follows;

1. A ⇔ Efficiency.

2. B ⇔ Impossible.

3. C ⇔ Inefficiency.

In Economics and Mathematics, a production possibilities curve (PPC) can be defined as a type of graph that is typically used for illustrating the maximum and best combinations of two (2) products that can be produced by a producer (manufacturer) in an economy, if they both depend on the following two (2) factors;

Based on the production possibilities curve shown in the image attached above, we can reasonably infer and logically deduce that each of the letters represent the following terminologies;

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Answer:

Step-by-step explanation:

Given:

Based on the given we find the following

1) Off-grid class only:

3) Online class only:

2) None of the classes:

4) Not online:

5) Not off-grid:

Answer:

  5.5 cm

Step-by-step explanation:

You want the inside diameter of a conduit with an outside diameter of 6.3 cm and a wall thickness of 0.4 cm.

There is a wall at each end of the inner diameter, so it will differ from the outside diameter by twice the wall thickness:

  6.3 cm - 2×0.4 cm = 5.5 cm

The inside diameter is 5.5 cm.

Answer:

52,047.96

Step-by-step explanation:

The probability of an odd number of dots by rolling with a fair, six-sided die numbered one through six is 1/2 or 50%.

There are three odd numbers (1, 3, and 5) on a six-sided die numbered from 1 to 6. Similarly, there are three even numbers (2, 4, and 6). Since the probability of rolling any one of the six numbers is the same, and half of them are odd and half are even, the probability of rolling an odd number is 3/6 or 1/2.

To determine the probability of rolling an odd number of dots, we need to consider the possible outcomes. We can roll an odd number of dots if we roll 1 or 3 or 5 dots on a single roll of the die. We can also roll an odd number of dots if we roll an even number of dots on two or more rolls.

Since these are mutually exclusive events, we can find the probability of rolling an odd number of dots by adding the probabilities of rolling 1, 3, or 5 dots to the probability of rolling an even number of dots twice, thrice, or more times.

The probability of rolling an even number of dots on any one roll is 1/2. So, the probability of rolling an even number of dots twice is (1/2) x (1/2) = 1/4, thrice is (1/2) x (1/2) x (1/2) = 1/8, and so on.

Therefore, the probability of rolling an odd number of dots is:

P(odd) = P(rolling 1) + P(rolling 3) + P(rolling 5) + P(even twice) + P(even thrice) + ...

P(odd) = 1/6 + 1/6 + 1/6 + 1/4 + 1/8 + ...

P(odd) = 1/2

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Answer:

it looks like it translates a few units to the right and 2 units up im doing this too but im not so sure about my answer but i hope i helped...

The right angle triangle representing this scenario is shown below

A represents the beacon light

AB is the ship'e horizontal distance from the lighthouse

Taking angle A which is the angle of elevation as the reference angle,

opposite side = BC = 132

adjacent side = AB

To find AB, we would apply the tangent trigonomeric ratio which is expressed as

Tan # = opposite side/adjacent side

Therefore,

Tan 5 = 132/AB

ABtan5 = 132

AB = 132/tan5

AB = 1508.8

The ship's horizontal distance from the lighthouse and the shore is 1508.8 feet

Answer:

\(\frac{2}{5}\)

Step-by-step explanation:

If the question is asking you to add the two fraction you would need to follow these steps:

Step 1: find a common denominator (both of the number 20 in common

Step 2: add the numerators ( 7/20 + 1/20 would = 8/20 )

Step 3 simply the fraction ( 8/20 will be simplyed to 2/5)

Answer:

33/20

Step-by-step explanation:

First find the Least common denominator

Then you check how many times each denominator goes into de Least common denominator

After multiply the number you got when you checked for the times the denominator will go into the LCM with the numerator then simplify

Composite functions occur when we take two functions and input one into the other as x.

Example:

\(f(x) = 2x\)

\(g(x) = 3x^2\)

\((f\circ g)(x)=f(g(x))\)

\((f\circ g)(x) = 2(3x^2)\)

We're given:

To find \((f\circ g)(x)\), input g into f as x:

\(f(x)= 3x +2\)

\((f\circ g)(x)=3(x^2+1) +2\\(f\circ g)(x)=3x^2+3 +2\\(f\circ g)(x)=3x^2+5\)

\((f\circ g)(x)=3x^2+5\)

Answer:

18

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

7 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

The maximum temperature during summer in that year was 34°C.

It's not possible for the maximum temperature in Gulmarg, Kashmir to rise by 44°C during the summer.

A temperature rise of that magnitude would be extremely unusual and potentially dangerous.

However, assuming that the question meant to ask about the difference between the minimum temperature in January and the maximum temperature in summer, we can proceed with the calculation.

The minimum temperature in January was -10°C, and if we add 44°C to it, we get:

-10°C + 44°C = 34°C

Therefore, the maximum temperature during summer in that year was 34°C.

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It took Ringani 2.8 years  to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate Compounded annually.The correct answer choice is C. 2.8 years.

To determine how long it took Ringani to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into an account with a 7.04% interest rate compounded annually, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A is the final amount

P is the principal amount (initial deposit)

r is the interest rate (in decimal form)

n is the number of times the interest is compounded per year

t is the time in years

In this case, we have:

P = R8,500.00

A = R30,000.00

r = 7.04% = 0.0704 (in decimal form)

n = 1 (compounded annually)

We want to find the value of t.

Using the formula, we can rearrange it to solve for t:

t = (log(A/P)) / (n * log(1 + r/n))

Substituting the given values, we have:

t = (log(30,000/8,500)) / (1 * log(1 + 0.0704/1))

Calculating this using a calculator, we find that t is approximately 2.8 years.

Therefore, it took Ringani approximately 2.8 years (rounded to one decimal place) to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate compounded annually.

The correct answer choice is C. 2.8 years.

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Answer:

33.33%

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

so we add 1 and 3 together becuase since there are equal parts, we need to add to get the whole. so since the ration is 1:3, there are 1/4x cats thereate the show

Given statement solution is :- The correct answer is: The frequency is 3 more than expected.

To determine the expected frequency of landing on an even number when rolling a fair six-sided number cube, we need to calculate the probability of landing on an even number and multiply it by the total number of rolls.

The number cube has six possible outcomes: 1, 2, 3, 4, 5, and 6. Of these, three are even numbers: 2, 4, and 6. Therefore, the probability of rolling an even number is 3/6, which simplifies to 1/2 or 0.5.

The expected frequency can be found by multiplying the probability by the total number of rolls:

Expected frequency = Probability of landing on an even number × Total number of rolls

Expected frequency = 0.5 × 30 = 15

Now, we can compare the expected frequency (15) to the actual frequency (18) given in the problem statement.

The actual frequency is 18, and it is 3 more than the expected frequency (18 - 15 = 3).

Therefore, the correct answer is: The frequency is 3 more than expected.

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The percent of the bags of chips weigh less than 176 grams is b 16%

From the question, we have the following parameters that can be used in our computation:

Mean = 180

Standard deviation = 4

Bags of chips weigh less than 176 grams

This means that

x = 176

So, the z-score is

z = (176 - 180)/4

Evaluate

z = -1

The percent of the bags of chips weigh less than 176 grams is represented as

P = P(z < -1)

Using a graphing calculator, we have

Percentage = 0.15866

So, we have

Percentage = 16%

Hence , the percentage is 16%

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Answer:

y=2x+6

Step-by-step explanation: