The equation, with a restriction on x, is the terminal side of an angle 8 in standard position. 2x+y=0, x20 COC Give the exact values of the six trigonometric functions of 8. Select the correct choice

Answer: its Square but the top one is rectangle

The central limit theorem says that the sampling distribution of the mean will always follow a normal distribution when the sample size is sufficiently large. This sampling distribution of the mean isn't normally distributed because its sample size isn't sufficiently large.

Sample Size: It refers to the number of participate or observation included in a study. This number is usually represented by n.

Sampling Distribution of Mean: The mean of a sampling distribution is equal to the mean of the population.

The parameters of the sampling distribution of mean are determined by the parameters of the population:

                                              μₓ = μ

                                           σₓ = σ / √n

We can describe the sampling distribution of the mean using this notation:

                                X ~ N ( μ,σ /√n)

Where,

The larger the sample size, the more closely the sampling distribution will follow a normal distribution.

When the sample size is small, the sampling distribution of the mean is something non- normal. That's because the central limit theorem only holds true when the sample size is sufficient large.

For Example: -

We consider a sample size of 30 to be sufficiently large.

When n < 30,

The central limit theorem doesn’t apply. The sampling distribution will follow a similar distribution to the population. Therefore, the sampling distribution will only be normal if the population is normal.

When n ≥ 30,

The central limit theorem applies. The sampling distribution will approximately follow a normal distribution.

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Answer:

9 , 7, 3, -15

Step-by-step explanation:

the bigger the number before the zero the lesser value it has and any number after the zero has more value

The answer of the given question based on expression is  the value of p that satisfies the given condition is -2.

The binomial theorem is a fundamental concept in algebra that provides a formula for expanding expressions of the form (a + b)ⁿ, where n is a non-negative integer and a and b are real numbers. The formula is as follows:

(a + b)ⁿ = C(n, 0)aⁿ b⁰ + C(n, 1)a⁽ⁿ⁻¹⁾ b¹ + ... + C(n, r)a⁽ⁿ⁻r⁾ b^r + ... + C(n, n)a⁰bⁿ

The binomial theorem states that the nth power of a binomial can be expanded as the sum of the products of each term in the binomial raised to a power and the corresponding binomial coefficient. The binomial coefficient represents the number of ways of choosing r objects from a set of n objects, and is often denoted by "n choose r" or written as a combination symbol, (nCr).

We can use the binomial theorem to expand the given expression as:

(2-3px) (4x⁴ + 5x₃ - x) = 8x⁴ + 10x³ - 2x - 12px⁵ - 15px⁴ + 3px²

To find the coefficient of x⁴ in this expansion, we need to look at the terms that contain x⁴. There are two such terms: 8x⁴ and -15px⁴. Therefore, the coefficient of x⁴ is 8 - 15p.

We are given that this coefficient is 38, so we can set up the equation:

8 - 15p = 38

Solving for p, we get:

-15p = 30

p = -2

Therefore, the value of p that satisfies the given condition is -2.

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Answer:

\( \sf \: 3x + 12 \)

Step-by-step explanation:

Now we have to,

→ Simplify the given expression.

The property we use,

→ Distributive property.

The expression is,

→ 3(x + 4)

Let's simplify the expression,

→ 3(x + 4)

→ 3(x) + 3(4)

→ (3 × x) + (3 × 4)

→ 3x + 12

Hence, the answer is 3x + 12.

Answer:

4 3/9 - 2 7/9 = 14/

9

= 1 5/

9

≅ 1.5555556

Step-by-step explanation:

Conversion a mixed number 4 3/

9

to a improper fraction: 4 3/9 = 4 3/

9

= 4 · 9 + 3/

9

= 36 + 3/

9

= 39/

9

To find new numerator:

a) Multiply the whole number 4 by the denominator 9. Whole number 4 equally 4 * 9/

9

= 36/

9

b) Add the answer from previous step 36 to the numerator 3. New numerator is 36 + 3 = 39

c) Write a previous answer (new numerator 39) over the denominator 9.

Four and three ninths is thirty-nine ninths

Conversion a mixed number 2 7/

9

to a improper fraction: 2 7/9 = 2 7/

9

= 2 · 9 + 7/

9

= 18 + 7/

9

= 25/

9

To find new numerator:

a) Multiply the whole number 2 by the denominator 9. Whole number 2 equally 2 * 9/

9

= 18/

9

b) Add the answer from previous step 18 to the numerator 7. New numerator is 18 + 7 = 25

c) Write a previous answer (new numerator 25) over the denominator 9.

Two and seven ninths is twenty-five ninths

Subtract: 39/

9

- 25/

9

= 39 - 25/

9

= 14/

9

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(9, 9) = 9. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 9 × 9 = 81. In the next intermediate step, the fraction result cannot be further simplified by canceling.

In words - thirty-nine ninths minus twenty-five ninths = fourteen ninths.

What we answering with these 2 points ?

Where's the question?

Johnny can improve his meal in 6 different ways by choosing two condiments from his four options. Some examples of the different combinations include ketchup and salt, ketchup and pepper, salt and pepper, and so on.

To determine the number of different ways Johnny can improve his meal using condiments, we can use the concept of combinations.

Since Johnny can only make two additions to his meal, we need to find the number of combinations of condiments he can choose from his four options: ketchup, salt, pepper, and shredded cheese.

To calculate the number of combinations, we can use the formula for combinations:
nCr = n! / (r! * (n - r)!)

Where n represents the total number of items and r represents the number of items to be chosen.

In this case, n is 4 (since Johnny has four condiment options) and r is 2 (since Johnny can only make two additions).

Plugging these values into the formula, we get:

4C2 = 4! / (2! * (4 - 2)!)

Simplifying this expression:

4C2 = 4! / (2! * 2!)

The exclamation mark (!) represents the factorial operation, which means multiplying a number by all positive integers less than itself down to 1.

Calculating the factorials:
4! = 4 * 3 * 2 * 1 = 24
2! = 2 * 1 = 2

Substituting these values back into the equation:
4C2 = 24 / (2 * 2)

Simplifying further:
4C2 = 24 / 4

Finally, dividing:
4C2 = 6

Therefore, Johnny can improve his meal in 6 different ways by choosing two condiments from his four options. Some examples of the different combinations include ketchup and salt, ketchup and pepper, salt and pepper, and so on.

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Answer:

78.3 or 78.29

Step-by-step explanation:

We are asked to find the height of the figure which is the vertical side of the triangle. We are given an angle and we are a side opposite of that angle( the height of the platform) and the hypotenuse 152. So we are going to use sine.

Opposite/Hypotenuse

We use this equation

\( \sin(theta) = \frac{opp}{hypo} \)

Plug in the values

\( \sin(31) = \frac{x}{152} \)

Which is about 78.29

Answer: C

Step-by-step explanation:

We can say that the equaiton of the line is -1/6x+1, considering that is in each answer choice. Than main part is the shading and inequality. If you look closely at the graph, the shading line is a dashed/dotted line. This means the shaded part does not equal the actual line. We can eliminate B and D.

Now, we are left with A and C. A is saying y< while C is saying y>. C is the correct answer because if you look at the shading, it it above the line, which is greater than. Therefore, the answer is C.

The polynomial function of degree 3 with the zeros -1/2, 0, and 1 is:

f(x) = x^3 - (1/2)x^2 - (1/2)x

To find a polynomial function of degree 3 with the zeros -1/2, 0, and 1, we can start by using the zero-product property. Since the leading coefficient is assumed to be 1, the polynomial can be written as:

f(x) = (x - (-1/2))(x - 0)(x - 1)

Simplifying this expression, we have:

f(x) = (x + 1/2)(x)(x - 1)

To further simplify, we can expand the product:

f(x) = (x^2 + (1/2)x)(x - 1)

Multiplying the terms inside the parentheses, we get

f(x) = (x^3 + (1/2)x^2 - x^2 - (1/2)x)

Combining like terms, we have:

f(x) = x^3 - (1/2)x^2 - (1/2)x

Therefore, the polynomial function of degree 3 with the zeros -1/2, 0, and 1 is:

f(x) = x^3 - (1/2)x^2 - (1/2)x

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Answer:

answer : 22

Step-by-step explanation:

7 - n = 15

n = 15 + 7

n = 22

It's on the picture......................

Answer:

The length is 15 inches.

Step-by-step explanation:

Perimeter of rectangle = 2L + 2W

If W = 6, then 2W = 2*6, which is 12.

Now, 2L + 12 = 42.

Solve for L.

2L + 12 = 42

2L = 30

L = 15

Answer:

y = 12.50x + 50

Step-by-step explanation:

The linear equation is y=mx + b

b in this one is 50

And the x  or the slope is 12.50

Answer:

Hey

1/39 is your answer

Step-by-step explanation:

1/

3/

13/

Answer:

60

Step-by-step explanation:

-2(20​​-50)

-40 + 100 = 60

It is difficult to estimate the exact percentage of adult Americans who feel this way without further information, however 63% is a good indication that the majority of adult Americans favor capital punishment.

Based on the data provided, it is reasonable to assume that the majority of adult Americans favor capital punishment. This is supported by the survey results which show that 63% of respondents favor capital punishment (63.2% favor capital punishment; gss, 2018). However, without further information such as the survey sample size and what demographics were surveyed, it is difficult to estimate the exact percentage of adult Americans who feel this way. Nonetheless, the survey results indicate that the majority of adult Americans are in favor of capital punishment.

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Answer:

so not download thet answer Its a bot

The solution to the word problem 4 less than a number n is -15 is n = -11

An equation is an expression that shows the relationship between two or more numbers and variables.

4 less than a number n is represented as:

n - 4

Hence, 4 less than a number n is -15 is given by:

n - 4 = -15

adding 4 to both sides:

n - 4 + 4 = -15 + 4

n = -11

The value of n is -11

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The calculated surface area of the cone is 2831.71 square inches

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

The surface area of a cone is calculated using the following formula

SA = πr² + πrl

Substitute the known values in the above equation, so, we have the following representation

SA = 22/7 * 17² +22/7 * 17*  36

Evaluate

SA = 2831.71

Hence, the surface area of the cone is about 2831.71 square inches

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Question

What is the surface area of the cone? use 22/7 for pi if it has 9 inches radius and 36 inches slant height

We have `f(a) = (a+7)/a`, `f(a+h) = (a+h+7)/(a+h)`, and the difference quotient is `(h(a+7))/(ah+h^2)`.

Given a function `f(x)` is defined by `f(x) = (x+7)/x`.

We need to find `f(a)`, `f(a+h)`, and the difference quotient `(f(a+h)-f(a))/h` where `h≠0`.

Solution:

`f(x) = (x+7)/x`

At `x=a`, we have

`f(a) = (a+7)/a`.

At `x = a + h`,

we have `

f(a+h) = [(a+h)+7]/(a+h)`.

So,

`f(a+h) = (a+h+7)/(a+h)`.

Now,

`f(a+h)−f(a)` is `[(a+h)+7]/(a+h) − (a+7)/a`.

LCM of `(a+h)` and `a` is `a(a+h)`.

So, we get `f(a+h)−f(a)` as `(a+h)(a+7)−a(a+h+7)/a(a+h)`.

On simplification, we have `f(a+h)−f(a)` as `(ah+7h)/(a(a+h))`.

Now, `(f(a+h)−f(a))/h` is `(ah+7h)/(ah+h^2)`.

On simplification, we have `(f(a+h)−f(a))/h` as `(h(a+7))/(ah+h^2)`.

Hence, `f(a) = (a+7)/a`, `f(a+h) = (a+h+7)/(a+h)`, and the difference quotient is `(h(a+7))/(ah+h^2)`.

Given a function `f(x)` is defined by `f(x) = (x+7)/x`. We have found `f(a)`, `f(a+h)`, and the difference quotient `(f(a+h)-f(a))/h` where `h≠0`. Thus, we have `f(a) = (a+7)/a`, `f(a+h) = (a+h+7)/(a+h)`, and the difference quotient is `(h(a+7))/(ah+h^2)`.

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The variance of the number of heads which come up when a fair coin is flipped 9 times is 2.25.

In this case, number of trials n = 9

Note that X = X₁ + X₂ + X₃ + X₄ +X₅ + X₆ + X₇ + X₈ + X₉

Xₐ = 0 if the flip #i is tails, and

Xₐ = 1 if the flip #i is heads.

Since the Xi are independent, then we have:

Var (X) = Var (X₁ + … + X₉)

= Var (X₁) + Var (X₂) + … + Var (X₉)

Then,

Var (Xₐ) = E(Xₐ^2) – E(Xₐ)^2

= 1/2 – 1/4

= 1/4

So, the variance is:

Var (X) = Var (X₁) + Var (X₂) + … + Var (X₉)

= 9 * (1/4)

= 9/4

= 2.25

Hence, the variance of the number of heads which come up when a fair coin is flipped 9 times is 2.25.

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Answer:

245

Step-by-step explanation:

6 - 42

35 - x

cross multiply

6x = 35 × 42

6x = 1470

x = 1470 ÷ 6

x = 245

The solution that is correct is B. Amy is correct because adding the decimals and then adding the exponents is not the correct procedure for adding numbers in scientific notation.

Scientific notation is a way of expressing numbers that are too large or too small (usually would result in a long string of digits) to be conveniently written in decimal form. It is also called standard form or standard index form e.g  1000000 = 10⁶ and 0.0001 = 10⁻⁴

(8.0 × 10⁷) + (6.2 × 10³) = (80000 × 10³) + (6.2 × 10³)

                                     = (80000 + 6.2) × 10³

                                     = 80006.2 × 10³

                                     = 8.00062 × 10⁷

Thus, Amy is correct because adding the decimals and then adding the exponents is not the correct procedure for adding numbers in scientific notation.

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Answer:

The area of the actual park = 1,012.5 m^2

Step-by-step explanation:

In this question, we want to calculate the actual area of the park.

The scale drawing is given as 10 cm by 5 cm

Let’s translate this to actual measurements;

Since 1 cm = 4.5 m, then 10 cm will be 10 * 4.5 = 45 m while 5.0cm will be 5 * 4.5 = 22.5 m

So the actual dimensions of the park will be ;

45m by 22.5 m

Mathematically, the area of a rectangle = L * B = 45 m * 22.5 m = 1,012.5 m^2

The inverse of the function f(x) = (3√(x/7)) - 9 is f^(-1)(x) = 7x + 63.

To find the inverse of the function f(x) = (3√(x/7)) - 9, we need to interchange the roles of x and f(x) and solve for x.

Replace f(x) with y.

y = (3√(x/7)) - 9

Swap x and y.

x = (3√(y/7)) - 9

Solve the equation for y.

x + 9 = 3√(y/7)

Remove the cube root by cubing both sides.

(x + 9)^3 = [3√(y/7)]^3

Simplify.

(x + 9)^3 = (3√(y/7))^3

(x + 9)^3 = (y/7)^3

Remove the cube by taking the cube root of both sides.

∛((x + 9)^3) = ∛((y/7)^3)

Simplify.

x + 9 = y/7

Multiply both sides by 7.

7(x + 9) = y

Rewrite y as the inverse function.

f^(-1)(x) = 7x + 63

Therefore, the inverse of the function f(x) = (3√(x/7)) - 9 is f^(-1)(x) = 7x + 63.

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To rewrite the given parametric equations as Cartesian equations, we need to eliminate the parameter t. For the first equation, we get the Cartesian equation y = (3/2)x - (5/4). For the second equation, we get the Cartesian equation y = ln(x^2).

For the first equation x(t) = 3t - 2, y(t) = 5t^2, we need to eliminate t to get the Cartesian equation. Solving for t in terms of x, we get t = (x + 2)/3. Substituting this value in the equation for y, we get y = 5((x+2)/3)^2. Simplifying this, we get y = (3/2)x - (5/4).

For the second equation x(t) = e^(2t), y(t) = e^(4t), we need to eliminate t to get the Cartesian equation. Taking the natural logarithm of both sides of the equation for y, we get ln(y) = 4t.

Solving for t, we get t = ln(y)/4. Substituting this value in the equation for x, we get x = e^(2(ln(y)/4)), which simplifies to x = y^(1/2). Therefore, the Cartesian equation for this parametric equation is y = ln(x^2).

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