Which ordered pair is in the solution set of 3x − 2y ≥ -1?​​​

If cholesterol level were changed to being measured in grams instead of milligrams, the correlation between fat content and cholesterol level would not be affected.

This is because correlation is a measure of the strength and direction of the linear relationship between two variables, and converting the units of measurement does not change the underlying relationship between the variables. So, the correlation coefficient of 0.75 would remain the same whether cholesterol level is measured in milligrams or grams.

The correlation between fat content and cholesterol level for the 20 different brands of American cheese slices is 0.75. If you change the measurement of cholesterol level from milligrams to grams (1 gram = 1000 milligrams), it will not affect the correlation. The correlation coefficient will remain 0.75, as it is unit-less and only represents the strength and direction of the relationship between the two variables.

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If a line segment joins the midpoints of two sides of a triangle, then its length is equal to one-half the length of the third side has been proved.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

In the given triangle below;

Line segment BC is intersecting at the midpoint of AD and AE.

Now,

Since ΔABC ≈ ΔADE by similarity property.

So,

AB/AD = BC/DE

AB/(AB + BD) = BC/DE

Since AB = BD = AB lets say,

AB/2AB = BC/DE

BC/DE = 1/2

Hence "If a line segment joins the midpoints of two sides of a triangle, then its length is equal to one-half the length of the third side has been proved".

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Answer:

9 1/2

Step-by-step explanation:

Add 2 1/2 plus 3 1/2 plus 3 1/2 to get 9 1/2.

Answer: 2.456  x 10 to the power 11

Step-by-step explanation: Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Answer:

2.456  x 10 to the power 11

Step-by-step explanation:

Answer:

Step-by-step explanation:

9

Answer:

40

Step-by-step explanation:

Looking at the other examples, its shows the the second number is always 4 times bigger/ahead then/of the first number.

Answer:

----------------------

According to the diagram we have:

1) Angles w and 138° form a linear pair, hence:

2) Angles 19°, x and w form a right angle, hence:

Answer:

6 minutes

Step-by-step explanation:

Speed of net = 15mbps

Time taken = 4min.

Total size of application= 15*60*4= 3600mb

Now speed = 10mbps

Time taken = 3600/10

= 360 sec = 360/6 min

= 6 min

Answer:

Answer is 2.5

Step-by-step explanation:

I hope it's helpful!

Answer:

2.5

Step-by-step explanation:

hope this helps ;)

(cough)(cough)(brainliests)(cough)(cough)

did u hear that????????????

After 12 years, money, here to nearest hundred dollars, must be in Connor's account is $1,321,780.

The formula for the continuous compounding.

A = Pe∧(rt)

In which,

P = principal amount ($77,000)

e = 2.72

r = rate of interest (4.5%)

t = time in years (12)

Put the values.

a = 77,000 (2.72)∧(0.045 x 12)

A = 77,000 x 1.71

A = 1,321,776.21

A = 1,321,780

Thus, after 12 years, money, here to nearest hundred dollars, must be in Connor's account is $1,321,780.

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Answer:

True.

Explanation:

When solving equations with unknowns on both sides, it is generally recommended to first deal with the variable terms before dealing with the constant terms. This involves simplifying the equation by combining like terms and isolating the variable on one side of the equation. Once the variable is isolated, you can then solve for its value.\(\)

The amount of refund Johnny is entitled to would depend on various factors,

Terms and conditions of rental list purchase, any guarantees or representations made by you regarding the accuracy of the list,

And the applicable consumer protection laws in your jurisdiction.

If you provided a guarantee or representation that the rental list would only include pet-friendly rentals, and it was found to be inaccurate.

Johnny may have grounds to request a refund.

In such a case, he would generally be entitled to a refund of the amount he paid for the rental list.

It's important to review terms and conditions of purchase agreement or any written guarantees provided to determine the specific refund policy.

Additionally, consulting with a legal professional or seeking advice from a consumer protection agency.

In your jurisdiction would be advisable for a more accurate assessment of the situation based on the specific circumstances.

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Answer:

thats pretty hard i couldn't figure it would either im so sorry!

Step-by-step explanation:

Answer:

that's really hard.. i'm so sorry but i don't know the answer. i tried!! and btw is that korean?

Step-by-step explanation:

Answer:

25

64

Step-by-step explanation:

x^2

5^2

25

(X+3)^2

(5+3)^2

8^2

64

Hopes this helps please mark brainliest

Answer:

a) x = 25

b) 16

Step-by-step explanation:

a) x^2 = 5^2 = 25

b) (x + 3)2 = (5 + 3)2= (8)2 = 16

Answer:

Simplify and Quadratic Formula \(4x^2+20x+25-49=0\\4x^2+20x-24=0\\x_{1,\:2}=\frac{-20\pm \sqrt{20^2-4\cdot \:4\left(-24\right)}}{2\cdot \:4}\\\\x_{1,\:2}=\frac{-20\pm \:28}{2\cdot \:4}\\\\x_1=\frac{-20+28}{2\cdot \:4},\:x_2=\frac{-20-28}{2\cdot \:4}\\\\x=1,\:x=-6\)

Step-by-step explanation:

The relation which we see between the orders of the elements of a group and the order of the group is smallest positive power.

G = U(20), order of each element of G = ?

The smallest positive power of an element that gives you your identity is the order of the element in a group. Three instances are covered: complex numbers, a 2x2 rotation matrix, and real number elements of finite order.

G = U(20) = {1,3,7,9,11,13,17,19}

⇒ 3° ≡ 1, 3¹ ≡ 3, 3² ≡ 9, 3³ ≡ 7, 3¹ ≡ 1(20)

∴ order of 3 = 4

7⁴ ≡ 1 (mod 20) → order (7) = 4

9² ≡ 1 (mod 20) → order (9) = 2

11² ≡ 1 (mod 20) → order (11) = 2

13² ≡ 9(mod 20) → 13⁴ ≡ 81(mod 20) → 13⁴ ≡ 1 (mod 20)

⇒ order (13) = 4

order  07 = 4

17 ≡-3(mod 20) ⇒ 17² ≡ yy (mod 20)

⇒ 17⁴ ≡ 81 (mod 20) ≡ 1 (mod 20) ⇒

19 = -1 (mod 20)

19² ≡ 1 (mod 20) ⇒ order (19) = 2

Hence we get the requires answer.

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The equilibrium number of firms will be the smallest integer such that the price is 6 or higher. This occurs when n = 2. At this equilibrium, the price is P = 6, the output of each firm is y = 3/2, the industry's output is Y = 3, and the profit of each firm  = -2.

a) Supply curve of an individual firm

The price received by the individual firm will be P. Its demand curve is given by

D(p) = 20 - p.

Each firm chooses output to maximize its profit. Profit maximization occurs when the price is equal to the marginal cost. Mathematically,

P = MC(y)

4y = P

y = P/4

Thus the supply curve of the firm is y = P/4

b) The smallest price at which the product can be sold. The product can be sold at the minimum of the supply curve, which is y = 0, given P ≥ 0. Therefore the smallest price is P = 0.

c) Equilibrium price and output

Equilibrium occurs when each firm is producing at its profit-maximizing output given the output of other firms. Let the number of firms in the industry be n. The output of the industry is Y = ny. The industry supply curve is given by

S(P) = nP/4

The equilibrium price intersects the industry supply curve with the demand curve. Thus the equilibrium price satisfies

S(P) = Y

nP/4 = 20 - P

=> P = 80/(4 + n).

The equilibrium number of firms is the number that makes the industry supply curve equal to the demand curve. Thus

20 - P = nP/4

=> P = 80/(4 + n)

=> n = (80 - 20P)/P

= 20/P - 4.

Thus the equilibrium number of firms is a function of P and can range between 1 and infinity, but it must be an integer. The equilibrium output of each firm is given by

y = P/4 = 20/(4n + n²)

The equilibrium output of the industry is given by

Y = n

y = 5/P = (n² + 4n)/80.

d) Equilibrium number of firms with new demand curve D(p) = 21 - p.

The intersection of this curve with the marginal cost curve is at p = 21/5. This is greater than the minimum possible price of 0. Thus there is a positive profit to be earned in this industry, and new firms can enter the market.

e) Equilibrium price and output with new demand curve with the new demand curve D(p) = 21 - p, the industry supply curve and the equilibrium price are as given in part (d). The equilibrium output of each firm is given by y = P/4 = 21/20, and the equilibrium output of the industry is given by Y = 21/4.

f) Equilibrium number of firms, price, output, and profit with demand curve D(p) = 24 - p. This demand curve intersects the marginal cost curve at p = 6. The minimum possible price is P = 0. Thus there is a range of prices from 0 to 6 where firms can profit positively.

The equilibrium number of firms will be the smallest integer such that the price is 6 or higher. This occurs when n = 2. At this equilibrium, the price is P = 6, the output of each firm is y = 3/2, the output of the industry is Y = 3, and the profit of each firm is (6)(3/2) - (2)(2(3/2)² + 8) = -2.

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Answer:

c > 25; The cost of an individual membership costs more than $25.

Step-by-step explanation:

Your equation should look like this: c + 15 > 40

Subtract - 15 from both sides which will leave you with c > 25.

The cost of an individual membership costs more than $25

Answer:

33

Step-by-step explanation:

2(6) + 3(8) - 3

12 + 24 + - 3 = 33

Answer:

33

Step-by-step explanation:

2(6) +3(8) -3

Therefore, at the given point (1, 1, 2, 4), ∂u/∂t = (ln(2) / 2) × ∂t/∂u, and ∂t/∂u cannot be determined from the given equation.

To calculate the partial derivatives ∂u/∂t and ∂t/∂u using implicit differentiation of the given equation, we'll differentiate both sides of the equation with respect to the variables involved, treating the other variables as constants.

Let's break it down step by step:

Given equation: (-2ln(-x) = ln(2)(tx - v) × 2ln(w - uv) = ln(2)

We'll differentiate both sides of the equation with respect to u and t, treating x, v, and w as constants.

Differentiating with respect to u:

Differentiate the left-hand side:

d/dt (-2ln(-x)) = d/dt (ln(2)(tx - v))

-2(1/(-x)) × (-1) × dx/du = ln(2)(t × du/dt - 0) [using chain rule]

Simplifying the left-hand side:

2(1/x) × dx/du = ln(2)t × du/dt

Differentiating with respect to t:

2ln(w - uv) × d/dt (w - uv) = 0 × d/dt (ln(2))

2ln(w - uv) × (dw/dt - u × dv/dt) = 0

Since the second term on the right-hand side is zero, we can simplify the equation further:

2ln(w - uv) × dw/dt = 0

Now, we substitute the given values (1, 1, 2, 4) into the equations to find the partial derivatives at that point.

At (1, 1, 2, 4):

-2(1/(-1)) × dx/du = ln(2)(1 × du/dt - 0)

2 × dx/du = ln(2) × du/dt

dx/du = (ln(2) / 2) × du/dt

2ln(w - uv) × dw/dt = 0

Since the derivative is zero, it doesn't provide any information about ∂t/∂u.

Therefore, at the given point (1, 1, 2, 4):

∂u/∂t = (ln(2) / 2) × ∂t/∂u

∂t/∂u cannot be determined from the given equation.

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A fundamental identity is an equation that relates the values of the trigonometric functions for a given angle. The equation cot θ = cos θ/sinθ is an example of a fundamental identity.

This identity states that the cotangent of an angle is equal to the cosine of the angle divided by the sine of the angle. The equation sec θ = 1/cosθ is another example of a fundamental identity. This identity states that the secant of an angle is equal to the reciprocal of the cosine of the angle. The equation sec^2 + 1 = tan^2θ is also a fundamental identity. This identity states that the square of the secant of an angle plus one is equal to the square of the tangent of the angle. The equation 1 + cot^2θ = csc^2θ is not a fundamental identity. This equation states that one plus the square of the cotangent of an angle is equal to the square of the cosecant of the angle. This equation is not a fundamental identity because it does not relate the values of the trigonometric functions for a given angle.

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The minimum average Josephine must achieve on the second test is given by (170 - a).

o know the minimum average she must achieve on the second test in order to earn an overall course grade of 85%.

Let's denote the average of the two tests as "x." Since Josephine wants an overall course grade of 85%, we can set up the following equation:

(0.5 * x) + (0.5 * y) = 85

Here, "x" represents the score on the first test (which is already completed and can be considered a fixed value), "y" represents the score on the second test (the one Josephine wants to find), and the weights of both tests are equal (0.5 each) since they contribute equally to the average.

Simplifying the equation, we have:

0.5x + 0.5y = 85

To find the minimum average Josephine must achieve on the second test, we need to consider the worst-case scenario where she scores the minimum possible on the first test. Suppose the minimum score on the first test is denoted as "a."

Substituting "a" for "x" in the equation, we get:

0.5a + 0.5y = 85

Now, let's solve this equation for "y" to determine the minimum average Josephine must achieve on the second test:

0.5y = 85 - 0.5a

y = (85 - 0.5a) / 0.5

y = 170 - a

Therefore, the minimum average Josephine must achieve on the second test is given by (170 - a).

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Answer:

7

Step-by-step explanation:

Make the fractions have a denominator of 20.

2/5 times the top and bottom by 4 (because 5 times 4 = 20) = 8/20

So 8 socks are white

1/4 times 5 = 5/20

So 5 socks are black

Add them and subtract from 20 to get the number of gray socks

20-13=7

Without additional information about the distribution of costs, it is impossible to determine the probability that the cost will be less than $240.

To calculate a probability, we need to know the distribution of the data. For example, if the costs followed a normal distribution with a mean of $200 and a standard deviation of $20, we could use a standard normal table or a calculator to find the probability that a randomly selected cost is less than $240.

However, if we do not have information about the distribution of the costs, we cannot calculate a precise probability. In this case, we could make some assumptions about the distribution based on past data or expert opinion and use those assumptions to estimate the probability.

For example, if we know that costs tend to be positively skewed, we might assume that the distribution is lognormal and use that assumption to estimate the probability. Alternatively, we could use a non-parametric method like bootstrapping to estimate the probability based on a sample of observed costs.

Ultimately, the accuracy of any estimate will depend on the quality of the assumptions and the amount of data available.

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Answer:

3/4 6/8 12/16

Step-by-step explanation:

Cuz me brian knows stoof

In terms of percentages, 3/4 is equivalent to 75/100.

In order to determine equivalence, we should divide the numerator and denominators in such a way that the numbers would no longer be divisible.

So, for example, if we have the fraction, 75/100, the equivalence can be obtained by dividing both sides by 5 as follows

75/100 = 15/20 = 3/4

There are so many other numbers that are equivalent to 3/4. 6/8 is one such example.

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If the polynomial is factorized, then the value of \(b^2-4ac\) should be a perfect square. The given polynomial is prime. The option 4 is the correct option.

Factors of the polynomial which are multiplied to produce the original polynomial. The polynomial which can not be factored is known as prime polynomial.

The standard form of the polynomial with highest power of 2 can be given as,

\(ax^2+bx+c\)

Given information-

The given polynomial is,

\(x^2+8x-6\)

Compare the above polynomial with standard form, we get,

\(a=1\\b=8\\c=-6\)

If the polynomial is factorized, then the value of \(b^2-4ac\) should be a perfect square. Let check,

\(b^2-4ac=8^2-[4\times1\times(-6)]\\b^2-4ac=64+24\\b^2-4ac=88\)

Thus the result is not perfect square.

Hence the given polynomial is prime. The option 4 is the correct option.

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Answer:

The polynomial is prime

Step-by-step explanation:

imy

MCdonnel - douglas test can be used to prove intentional disparate treatment.

Disparate treatment is a form of deliberate workplace discrimination. Disparate treatment, for instance, occurs when a certain talent is only tested on a subset of minority applicants.

The McDonnell Douglas test is a legal standard that calls for an employee to provide proof of employment discrimination. In order to pass the test, an employer must additionally provide proof that the alleged discriminatory employment action was not actually taken.

Therefore, an employee to prove intentional disparate treatment must use mcdonnel-douglas test. Option a is the correct answer.

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