Consider any conic section and discuss an application of the conic that you find most interesting. Include an example of a mathematical equation that models the application. Also, describe why you think this application is relevant and beneficial to society. (Note: To share your equation in the discussion forum, you might need to write your equation as if you were entering it into a graphing calculator.)

Answer:

cos 120°

Explanation:

Given the trigonometric expression:

By the trigonometric Law of Cosine Addition:

Let A=90, and B=30. Therefore:

The equivalent form of the expression is cos 120°.

Answer:

It letter C!!

Step-by-step explanation:

oTheres no way you can write a negative twice with a top and bottom You can put the negative in the middle or one on ONE number  top or bottom but never can be both

Answer:

C.

For A and B where the negative is doesn't matter since the decimal form of both of these fractions is equal to -0.66667 (they are equal no matter where u put the negative sign). the decimal form of - 2/3 is also -0.666667. A good rule to know is that a negative divided by a negative or a negative multiplied by a negative is always a positive. in c, -2/-3 is actually  0.66667 meaning its incorrect.

Hard to explain through writing but hoped this helped

Answer:

57472

Step-by-step explanation:

the formula to get the expected value is

So, first we calculate teh probabilities. We have 20 bills in total. so we divide the quantity of bills of each value by the total:

we have 8 ones: 8/20= 2/5

5 fives: 5/20=1/4

4 tens: 4/20= 1/5

3 twenties = 3/20

now, we multiply each value with te probabilitiy of picking it and add all

the expected value is 4.1

The correct option is OA. y+4= -3(x-3). L 4.6.3 Test (CST): Linear Equations Solution: We are given that a line passes through (3,-4) and has a slope of -3.

We will use point slope form of line to obtain the equation of liney - y1 = m(x - x1).

Plugging in the values, we get,y - (-4) = -3(x - 3).

Simplifying the above expression, we get y + 4 = -3x + 9y = -3x + 9 - 4y = -3x + 5y = -3x + 5.

This equation is in slope intercept form of line where slope is -3 and y-intercept is 5.The above equation is not matching with any of the options given.

Let's try to put the equation in standard form of line,ax + by = c=> 3x + y = 5

Multiplying all the terms by -1,-3x - y = -5

We observe that option (A) satisfies the above equation of line, therefore correct option is OA. y+4= -3(x-3).

Thus, the correct option is OA. y+4= -3(x-3).

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Answer: (13,-7)

Step-by-step explanation:

By using the formula \((x_{m},y_{m}) =(\frac{x_{1}+x_{2} }{2},\frac{y_{1}+y_{2} }{2} )\)

\((x_{m},y_{m})\\\) is the coordinates of the midpoint.

For finding the midpoint X variable do:

\((\frac{4+22}{2})=13\)

For finding the midpoint Y variable do:

\(\frac{-10+(-4)}{2} = -7\) (you can either keep the parenthesis or take them out. Either way, the answer is the same.

Considering coordinate numbers follow the format: (x,y), you'll simply just substitute the numbers found above into their respective places.

x: 13

y: -7

(13,-7).

Answer:

27

Step-by-step explanation:

yes.

are you trying to find the missing number bc if so then its 27

15,19,23,27,31

Answer:

HERE YOU GO HOPE IT HELPS

The solutions to the equation sec(3x) - 2 = 0 in the interval [0,π/6] are x = π/18, and in the interval [5π/6,π] are x = 11π/18.

To solve this equation, we need to isolate the secant function by adding 2 to both sides, giving us sec(3x) = 2. Then, taking the reciprocal of both sides, we get cos(3x) = 1/2.

Using the unit circle or trigonometric identities, we know that cos(3x) = cos(π/3) has solutions in the interval [0,π/6] of 3x = π/3 + 2πk or 3x = 5π/3 + 2πk, where k is an integer.

Solving for x in each case, we get x = π/9 + (2πk)/3 or x = 5π/9 + (2πk)/3. However, we need to restrict the solutions to the given interval, which means we can only consider values of k that give solutions within that interval.

For the interval [0,π/6], we have k = 0 as the only solution, giving us x = π/18. For the interval [5π/6,π], we have k = 1 as the only solution, giving us x = 11π/18.

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Answer:

AREA=100

Step-by-step explanation:

Answer:

A=1200 P=25

Step-by-step explanation:

For area you do 5x4x6x10 for Perimeter you do 4+5+6+10

Answer:

-10, 5 -3, 6

Step-by-step explanation:

a) For this study of hypothesis testing, we should use a z-test for a population proportion.

b) The null and alternative hypotheses would be:

H₀ : p = 0.17

H₁ : p ≠ 0.17

c) The test statistic is z = -1.527

d) The p-value = 0.127

e) The p-value is greater than α.

f) Based on this, we should fail to reject the null hypothesis.

g) Thus, the final conclusion is that the data suggest the population proportion is not significantly different from 17% at α = 0.10, so there is statistically insignificant evidence to conclude that the population proportion of millionaires who can wiggle their ears is different from 17%.

a) The problem asks us to determine whether to use a z-test or t-test for a population proportion.

b) H₀: p = 0.17, H₁: p ≠ 0.17. These are the null and alternative hypotheses for the test, where p represents the population proportion of millionaires who can wiggle their ears.

c) We use a z-test for this problem, and the test statistic is z = -0.49.

d) The p-value for the test is 0.625, which is greater than the level of significance α = 0.10.

e) Since the p-value is greater than α, we cannot reject the null hypothesis. The appropriate inequality sign is ">=".

f) Therefore, we should fail to reject the null hypothesis.

g) The final conclusion is that the data suggest the population proportion is not significantly different from 17% at α = 0.10, so there is statistically insignificant evidence to conclude that the population proportion of millionaires who can wiggle their ears is different from 17%.

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The question is -

Only about 17% of all people can wiggle their ears. Is this percent different for millionaires? Of the 391 millionaires surveyed, 78 could wiggle their ears. What can be concluded at the α = 0.10 level of significance?

a) (Fill in the blank with either z-test or t-test.) For this study, we should use a __________ for a population proportion.

b) (Fill in the blanks.) The null and alternative hypotheses would be (use p to denote the population proportion):

H₀ : _____ _____ _____ (Please enter a decimal for the 3rd blank.)

H₁ : _____ _____ _____ (Please enter a decimal for the 3rd blank.)

c) The test statistic is _____ = _____ (Choose between z ot t for the first blank; please show your answer to 3 decimal places for the 2nd blank.)

d) The p-value = _____. (Please show your answer to 3 decimal places.)

e) (Fill in the blank with the appropriate inequality sign.)The p-value is _____ α

f) Based on this, we should __________ the null hypothesis (select an answer from the following list):

g) Thus, the final conclusion is that ...

The data suggest the population proportion is significantly different from 17% at = 0.10, so there is statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is different from 17%.

The data suggest the population proportion is not significantly different from 17% at = 0.10, so there is statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is equal to 17%.

The data suggest the population proportion is not significantly different from 17% at = 0.10, so there is statistically insignificant evidence to conclude that the population proportion of millionaires who can wiggle their ears is different from 17%.

Answer: 60%

Step-by-step explanation:

There are 20 ounces of water in John's water bottle, and 20-8=12 after consumption. Since we want to find the percentages of ounces, we can divide 12 by 20, which can be represented by the fraction 12/20. Simplify, we get 6/10 which is equal to 60%.

Answer:

6

Step-by-step explanation:

Answer

x=10.5 , y=6.25

Step by Step ^

The solution is, the values of x and y is, x=10.5 , y=6.25.

A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference. Calculating the perimeter has several practical applications.

Perimeter refers to the total outside length of an object,

here, we have,

we know,

perimeter of rectangle is:

P = 2*( a+ b)

given that,

A rectangle with a length of (x+2) cm and a width of y cm has a perimeter of 37.5 cm.

i.e. we get,

2( x+2 + y ) = 37.5

or, 2x + 2y = 33.5 ........(1)

and, we have,

A second rectangle has twice the perimeter, with a length of (2x - 6.5) cm and a width of (x+2y) cm.

i.e. we have,

2( 2x - 6.5 + x + 2y ) = 75

or, 3x + 2y = 44.5 .....(2)

solving (1) & (2) , we get,

x=10.5 , y=6.25

Hence, The solution is, the values of x and y is, x=10.5 , y=6.25.

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Answer:

  d.  f(x) → +∞, x → +∞; f(x) → -∞, x → -∞

Step-by-step explanation:

You want the end behavior of the cube root function f(x) = 2∛x +3.

The vertical translation upward 3 units can be ignored when considering the end behavior. The sign of a cube root matches the sign of the argument, so the signs of x and f(x) will match when both get large.

  f(x) → +∞, x → +∞; f(x) → -∞, x → -∞

Answer:

3,240

Step-by-step explanation:

Answer:

ab + c = d  

ab = d - c

Divide both sides by a

ab/a = d-c/a

b = d - c/ a

Step-by-step explanation:

Answer:

\(b \: = \: d \: - \: c \: \div a\)

Step-by-step explanation:

ab + c = d

ab = d - c

b = d - c/a

The better substitution for evaluating the integral of 4 cos x sin x dx is u = 4 cos x (option B). This substitution simplifies the integral and makes the integration process easier.

To evaluate the integral of 4 cos x sin x dx, we can consider the given substitutions and determine which one leads to simpler integration.

Let's evaluate each of the given substitutions and see how they affect the integral.

(A) u = ecos x

Taking the derivative, we have du = -sin x dx. This substitution does not simplify the integral since we still have sin x in the integrand.

(B) u = 4 cos x

Taking the derivative, we have du = -4 sin x dx. This substitution simplifies the integral as it eliminates the sin x term.

(C) u = sin x

Taking the derivative, we have du = cos x dx. This substitution also simplifies the integral as it eliminates the cos x term.

Comparing the substitutions, both (B) and (C) simplify the integral by eliminating one of the trigonometric functions. However, (B) u = 4 cos x leads to a more direct simplification since it eliminates the sin x term directly.

Therefore, the better substitution for evaluating the integral of 4 cos x sin x dx is u = 4 cos x (option B). This substitution simplifies the integral and makes the integration process easier.

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Answer:

I got 0.00001693508 is that one of your answers?

Answer is below. Look at the steps to understand the answer.

We'll need to combine like-factors for (3⁻⁴ × 3⁻⁶)⁴.

To do that, we'll combine the exponents and copy the base number.

In the term, the like terms are...

3⁻⁴ and 3⁻⁶.

Like I said, when we need to combine the like-factors, we'll combine the numbers. Combine the numbers like this:

(3⁻⁴⁽⁻⁶⁾)⁴

Add the exponents.

Remember the integer rule.

P + P = P

N + N = N

P + N = P

P + N = N

According to the rule, a negative + negative = negative. So...

-4 + (-6) = (-10)

We now need to make the exponent (3⁻¹⁰) positive.

Rule: A⁻ᴮ = ¹⁄ₐᴮ

According to the formula, A is the base number and B is the negative exponent.

That being said...

A → 3

B → 10

Now, since we know what A and B is, let's change our equation.

⅓¹⁰

Bring down the exponent 4 then multiply.

10 · 4 = 40

Therefore, the answer is ⅓⁴⁰.

Answer:

28 students total.

Step-by-step explanation:

Let's use a ratio:

boys : girls

 4     :   3

 16    :   12

To find the total, we need to add 16 and 12 which equals 28

Answer:

28 students

Step-by-step explanation:

If 4/7 of the students are boys,

then 1- 4/7 = girls

7/7 -4/7 = 3/7

total students *3/7 = girls

total students * 3/7 = 12

Multiply each side by 7/3

total students * 3/7 *7/3 = 12*7/3

total students = 28

Answer

Explanation:

Volume of a cylinder is expressed as;

If the radius is doubled and the height is unchanged, then;

r2 = 2r

h2 = h

Get the volume of the new cylinder

The instantaneous rate of change of the surface area S of the balloon with respect to the radius r is 8πr.

Given a spherical balloon is being inflated, we are supposed to determine the instantaneous rate of change of the surface area s of the balloon concerning the radius r.

In order to solve the above question, we need to find the derivative of surface area w.r.t radius.

The formula for the surface area of a sphere is given as:

S = 4πr²

Now, we will differentiate the above equation with respect to r.

dS/dr = d/ds (4πr²) = 8πr

We can observe that the instantaneous rate of change of the surface area S of the balloon w.r.t the radius r will be 8πr.

Hence, the instantaneous rate of change of the surface area S of the balloon with respect to the radius r is 8πr.

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Answer:

Width can be at least 4.2 in long.

Step-by-step explanation:

Answer:

A . 9.45

Step-by-step explanation:

so 70 times 4.5% is 3.25 which is how much he gets a year . So now you can multiply it by 3 for 3 years which leaves you with 9.45.

Answer:

12 cups

Step-by-step explanation:

Answer:

10 * 50%

Step-by-step explanation:

It is simple

just do 10/100 * 50

and you have your answer

There is 60 total number of marbles in the bag for the probability of selecting a red marble is 7/10.

The probability of an event occurring is the fraction of the number of required outcome divided by the total number of possible outcomes.

let the total possible outcome = x

probability of selecting a red marble = P(R) = 7/10

Given that there are 42 red marbles tgen:

42/x = 7/10

x = (42 × 10)/7 {cross multiplication}

x = 420/7

x = 60

Therefore, given the probability of selecting a red marble to be 7/10, the total number of marbles in the bag is derived to be 60

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