I need help with Geometry

The ordered pair (-2, 2) satisfies both inequalities y < -x + 1 and y > x.

The correct option is A: (-2, 2).

To determine which ordered pairs satisfy both inequalities y < -x + 1 and y > x, we need to check each pair's coordinates in both inequalities.

Let's test each ordered pair:

A: (-2, 2)

For y < -x + 1: 2 < -(-2) + 1 → 2 < 3 (True)

For y > x: 2 > -2 → 2 > -2 (True)

B: (1, 1)

For y < -x + 1: 1 < -(1) + 1 → 1 < 0 (False)

For y > x: 1 > 1 → 1 > 1 (False)

C: (0, 0)

For y < -x + 1: 0 < -(0) + 1 → 0 < 1 (True)

For y > x: 0 > 0 → 0 > 0 (False)

D: (-1, -1)

For y < -x + 1: -1 < -(-1) + 1 → -1 < 2 (True)

For y > x: -1 > -1 → -1 > -1 (False)

From the above calculations, we can see that only the ordered pair (-2, 2) satisfies both inequalities y < -x + 1 and y > x. Therefore, the correct answer is option A: (-2, 2).

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The complete question:

Which ordered pairs make both inequalities y < -x + 1 and y > x true?

A: (2, 2)

B: (1, 1)

C: (0,0)

D: (-1, -1)

Answer: A. 384 sq. mm

Step-by-step explanation: The area for the square is 12x12 or 144. The area for a triangle is base x height x 1/2. Therefore, that would be 12 x 10 x 1/2 or 60. There are 4 sides to this pyramid, so 60 x 4 = 240. We then add 144 and 240 to get 384 sq. mm.

Answer:

y = -5x + 15

Step-by-step explanation:

10x + 2y = 30

Subtract 10x from both sides.

2y = -10x + 30

Divide both sides by 2.

y = -5x + 15

Answer:

7 - 2m can be translated to "7 minus two times m" or "the difference between 7 and twice m".

3(m + 2) = 15 can be translated to "three times the sum of m and 2 is equal to 15" or "the product of 3 and the sum of m and 2 is 15".

To solve the equation, we can start by distributing the 3 on the left side:

3(m + 2) = 15

3m + 6 = 15

Then, we can subtract 6 from both sides:

3m + 6 - 6 = 15 - 6

3m = 9

Finally, we can divide both sides by 3:

3m/3 = 9/3

m = 3

Therefore, the solution to the equation 3(m + 2) = 15 is m = 3.

5m - m(2 - m) can be translated to "5m minus the product of m and the difference between 2 and m" or "the difference between 5m and m times the quantity 2 minus m".

To simplify the expression, we can use the distributive property to expand the second term:

5m - m(2 - m) = 5m - 2m + m^2 = m^2 + 3m

Therefore, the simplified expression is m^2 + 3m.

here in equation function, John makes $8.00 per hour waiting tables, and after 40 hours he makes $530.50, including 210.50 in tips.

To create an equation, multiplying and dividing are used to separate constants and variables. In an equation, terms in various forms on each side of the equality sign are equal. John makes $8.00 per hour waiting tables, and after 40 hours he makes $530.50, including 210.50 in tips.To create an equation, multiplying and dividing are used to separate constants and variables.

so we have,

John had paid $8.00 an hour and waits tables

Therefore,

In 29 hours, he earns -

\(= 40 X 8\\= 320 $\)

Via tups, he earned 210.50$

So, in total he earns

\(= 320 + 210.50\\= 530.50 $\)

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Answer:

see explanation

Step-by-step explanation:

The n th term of an arithmetic progression is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₂₄ = 2a₁₀ , then

a₁ + 23d = 2(a₁ + 9d) = 2a₁ + 18d ( subtract a₁ from both sides )

23d = a₁ + 18d ( subtract 18d from both sides )

5d = a₁

Then

a₇₂ = a₁ + 71d ← substitute a₁ = 5d

     = 5d + 71d

      = 76d

and

a₁₅ = a₁ + 14d = 5d + 14d = 19d

Now 76d = 4 × 19d

Thus

a₇₂ = 4a₁₅

Answer:

(2a-4) (a+9). I hope this helps you a lot :)

Answer:

53/100

Step-by-step explanation:

Answer: 4 ) 5/9

Step-by-step explanation:

The correct interpretation of a bleach and water solution with a 2:3 ratio would be option B: 2 cups of bleach and 3 cups of water.

A bleach and water solution with a 2:3 ratio means that for every 2 parts of bleach, there should be 3 parts of water. This ratio is typically expressed in terms of volume or quantity.

To understand this ratio, let's break it down using different units:

A. 1/3 part bleach and 2/3 part water:

If we consider 1/3 part bleach, it means that for every 1 unit of bleach, there should be 2 units of water. However, this does not match the given 2:3 ratio.

B. 2 cups of bleach and 3 cups of water:

If we consider cups as the unit of measurement, this means that for every 2 cups of bleach, there should be 3 cups of water. This matches the given 2:3 ratio, making it a valid interpretation.

C. 3 cups of bleach and 2 cups of water:

If we consider cups as the unit of measurement, this means that for every 3 cups of bleach, there should be 2 cups of water. However, this interpretation does not match the given 2:3 ratio.

Based on the given options, the correct interpretation of a bleach and water solution with a 2:3 ratio would be option B: 2 cups of bleach and 3 cups of water.

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Answer:

From the said lesson, the difficulty that I have been trough in dealing over the exponential expressions is the confusion that frequently occurs across my system whenever there's a thing that I haven't fully understand. It's not that I did not actually understand what the topic was, but it is just somewhat confusing and such. Also, upon working with exponential expressions — indeed, I have to remember the rules that pertain to dealing with exponents and frequently, I will just found myself unconsciously forgetting what those rule were — rules which is a big deal or a big thing in the said lesson because it is obviously necessary/needed over that matter. Surely, it is also a big help for me to deal with exponential expressions since it's so much necessary — it's so much necessary but I keep fogetting it.. hence, that's why I call it a difficulty. That's what my difficulty. And in order to overcome that difficulty, I will do my best to remember and understand well the said rules as soon as possible.

Using the law of sines, supposing C = 30º, the angle of each observer with the sailboat is:

Suppose we have a triangle in which:

The lengths and the sine of the angles are related according to the following rule:

\(\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}\)

The measure of angle B is found as follows:

sin(B)/10 = sin(C)/20

sin(B)/10 = 0.5/20 (sin(C) = 0.5)

sin(B) = 5/20

sin(B) = 0.25

B = arcsin(0.25)

B = 14º.

The measure of angle A is found as follows:

sin(A)/25 = sin(C)/20

sin(A)/25 = 0.5/20 (sin(C) = 0.5)

sin(A) = 12.5/20

sin(A) = 0.625

A = arcsin(0.625)

A = 136º.

The problem is incomplete, hence we suppose that the angle C is of 30º and problem asks for the angle measure of each angle.

(drawing is not to scale).

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Answer:

Daniel has 6,174 pokemon cards:)

We know this because 18 x 343 is 6,174.

(Hope this helps)

Ava has a total of 116 cards ALL together because 18p+98c

So if we want to figure out how many cards Daniel has, you will do 343×18.

So that equals 6174, and if you want to divide it to be sure, 6174÷343 is 18.

So Daniel has 6174 cards, 343 times the amount of cards Ava has.

Answer:

the answer is 250$

Step-by-step explanation:

your welcome

Answer:

Alex will pay $48.75 after the discount.

Step-by-step explanation:

With the information provided, in order to find the amount Alex will pay after the discount, first, you have to find the amount of the discount by calculating 25% of the price and then, you have to subtract that discount from the price:

$65*25%=$16.25

$65-$16.25=$48.75

According to this, the answer is that Alex will pay $48.75 after the discount.

The directional derivative of the function f(x, y, z) at point P0(2, 3, 4) in the direction of a = 3i - 4j + 5k is 648/5.

To find the derivative of the function at the given point in the direction of a, we need to use directional derivative formula. The directional derivative of a function f(x, y, z) at a point P0 in the direction of a = ai + bj + ck is given by the dot product of the gradient of the function f(x, y, z) at P0 and the unit vector in the direction of a.

So, the formula for the directional derivative of a function f(x, y, z) at a point P0(x0, y0, z0) in the direction of a = ai + bj + ck is given by Daf = ∇f(x, y, z)·(a/|a|)where, ∇f(x, y, z) is the gradient vector of the function f(x, y, z) and (a/|a|) is the unit vector in the direction of a.

Let's solve the given problem using the above formula.5) f(x, y, z) = x²y³z, P0(2, 3, 4), a = 3i - 4j + 5k We need to find the directional derivative of the function f(x, y, z) at point P0(2, 3, 4) in the direction of a = 3i - 4j + 5k. We have to find the gradient of the function f(x, y, z) first. So,∇f(x, y, z) = (df/dx)i + (df/dy)j + (df/dz)k Here, f(x, y, z) = x²y³z∴ df/dx = 2xy³z∴ df/dy = 3x²y²z∴ df/dz = x²y³Putting these values in the gradient formula, we get,∇f(x, y, z) = (2xy³z)i + (3x²y²z)j + (x²y³)k So, the gradient of the function f(x, y, z) is ∇f(x, y, z) = (2xy³z)i + (3x²y²z)j + (x²y³)k

Now, we need to find the unit vector in the direction of a = 3i - 4j + 5k.

The magnitude of a is,|a| = √(3² + (-4)² + 5²) = √50 = 5√2So, the unit vector in the direction of a is,(a/|a|) = [(3/5) i - (4/5) j + (5/5) k] = (3/5) i - (4/5) j + k Therefore, the directional derivative of f(x, y, z) at point P0(2, 3, 4) in the direction of a = 3i - 4j + 5k is given by,Daf = ∇f(x, y, z)·(a/|a|)= [(2xy³z)i + (3x²y²z)j + (x²y³)k] · [(3/5) i - (4/5) j + k]= (6xy³z/5) - (12x²y²z/5) + (3x²y³/5)Now, we need to find the directional derivative of the function f(x, y, z) at point P0(2, 3, 4) in the direction of a = 3i - 4j + 5k.

So, we have to put the values of x, y, and z in the expression we got for Daf. We have, x = 2, y = 3, and z = 4.So, the directional derivative of f(x, y, z) at point P0(2, 3, 4) in the direction of a = 3i - 4j + 5k is, Daf = (6(2)(3³)(4)/5) - (12(2²)(3²)(4)/5) + (3(2²)(3³)/5)= 864/5 - 288/5 + 72/5= 648/5 Therefore, the directional derivative of the function f(x, y, z) at the point P0(2, 3, 4) in the direction of a = 3i - 4j + 5k is 648/5.

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The third vertex of the second triangle can be found by using the fact that the second triangle is similar to the first. Since the sides of the second triangle are parallel to the sides of the first, the ratio of the lengths of the corresponding sides must be the same. This ratio is known as the scale factor and can be used to find the length of one side of the second triangle, which in turn can be used to find the location of the third vertex.

To find the scale factor, we can choose a side of the first triangle and a corresponding side of the second triangle, and then find the ratio of their lengths. For example, we can choose the side connecting (1,5) and (2,3) in the first triangle, and the corresponding side connecting (3,4) and (6,-2) in the second triangle. The length of the first side is √(2^2 + (-2)^2) = 2√2, and the length of the second side is √(3^2 + (-6)^2) = 3√5. Therefore, the scale factor is 3√5 / (2√2) = (3/2)√5.

Now, we can use this scale factor to find the length of another side of the second triangle, such as the side connecting (3,4) and the unknown third vertex. Let the coordinates of the third vertex be (x,y). Then, the length of this side is √[(x-3)^2 + (y-4)^2]. Using the scale factor, we have:

√[(x-3)^2 + (y-4)^2] / 2√2 = (3/2)√5

Simplifying this equation gives:

(x-3)^2 + (y-4)^2 = 45

This is the equation of a circle centred at (3,4) with a radius √45 = 3√5. The third vertex of the second triangle must lie on this circle and have sides parallel to the first triangle. One possible point on this circle is (0,1), which can be translated to the right by 3 and up by 4 to get the final answer of (3,5).

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Answer: 7^3/7^6= 1/343

Step-by-step explanation: We move 7^-6 to a denominator because we cannot have a negative exponent in the numerator.

So it would be 7^3/7^6

Which then would be 7*7*7/7*7*7*7*7*7

Which would equal 343/117649

Simplify and you get 1/343

The final factorized form of the expression (a - b) (x²-7) - (a - b) (4x + 5) is:(a - b) (x - 6) (x + 2)

Given expression is (a - b) (x²-7) - (a - b) (4x + 5).Here, (a - b) is a common factor in the given expression. We can factor out (a - b) as follows:(a - b) (x²-7) - (a - b) (4x + 5) = (a - b) [(x² - 7) - (4x + 5)] = (a - b) (x² - 4x - 12)Next, we can further factorize the expression x² - 4x - 12 as follows:x² - 4x - 12 = (x - 6) (x + 2)

Therefore, the final factorized form of the expression (a - b) (x²-7) - (a - b) (4x + 5) is:(a - b) (x - 6) (x + 2) - this is the answer.

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Answer:

D) y= -2X+1

Step-by-step explanation:

All of the lines are perpendicular to the line 2x+y=6 except for D) y= -2X+1.

Answer:

A' (-5, 5)

B' (20, 0)

C' (5, -15)

Step-by-step explanation:

Multiply each coordinate by 5, and your result is given above.

Answer:

Step-by-step explanation:

A linear equation giving the value v of the equipment during the 5 years it will be in use is v = 955 - 191t

A linear equation models a linear relationship between two variables, where the rate of change between the two variables is constant. In this case, we can model the value of the equipment as it depreciates over time using a linear equation.

Since the value of the equipment decreases linearly over time, we can write an equation in the form:

v = a - bt

where v is the value of the equipment in year t, a is the initial value of the equipment, and b is the constant rate of depreciation.

Since the initial value of the equipment is $955, we can set a equal to 955. To find the constant rate of depreciation, we need to find the change in value over the 5 years it will be in use and divide by the number of years. Assuming after 5 years the value is 0,

constant rate of depreciation = 955/ 5

= 191

So, with a = 955 and b = $191 per year, the linear equation that models the value of the equipment over time is:

v = 955 - 191t

This equation gives the value of the equipment in year t based on the initial value and the constant rate of depreciation.

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Answer:

Step-by-step explanation:

Answer:

\(\displaystyle 25 = x\)

Step-by-step explanation:

You are given the angle of the whole set, so set both expressions equivalent to the given angle measure:

\(\displaystyle 166° = 66° + [4x]° \hookrightarrow \frac{100}{4} = \frac{4x}{4} \\ \\ \boxed{25 = x}\)

I am joyous to assist you at any time.

Standard deviation error= 3 for the average of the 36 draws from the 0-1 box.

Standard deviation error:  The standard error of the mean, or simply standard error, indicates how different the population mean is likely to be from a sample mean. It tells you how much the sample mean would vary if you were to repeat a study using new samples from within a single population.

In the question it is said to find the standard error of the average of 36 draws from 0-1 box,

Probability is,  number of outcomes(n)/total number of events(t)

Probability,σ= 36/2=18

σ=18, n=36 from above

Standard deviation error= σ/\(\sqrt{n}\)

                                        =18/\(\sqrt{36}\)

                                        =18/6 =3

therefore, standard deviation error= 3.

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Answer:

I have solved it and attached in the explanation.

Step-by-step explanation:

Answer:

\(27a^3-54a^2b+36ab^2-8b^3\)

Step-by-step explanation:

To expand the expression (3a - 2b)³, we can use the Perfect Cube Formula.

\(\boxed{\begin{minipage}{6 cm}\underline{Perfect Cube Formula}\\\\$(x-y)^3=x^3-3x^2y+3xy^2-y^3$\\\end{minipage}}\)

Let:

Substitute the values into the formula, and use the exponent rule

\(\boxed{(xy)^n=x^n \cdot y^n}\) :

Therefore:

\(\begin{aligned}(3a-2b)^3&=(3a)^3-3(3a)^2(2b)+3(3a)(2b)^2-(2b)^3\\&=3^3 \cdot a^3-3 \cdot 3^2 \cdot a^2 \cdot 2b+3 \cdot 3a \cdot 2^2\cdot b^2-2^3\cdot b^3\\&=27a^3-3 \cdot 9 \cdot a^2 \cdot 2b+9a \cdot 4b^2-8b^3\\&=27a^3-54a^2b+36ab^2-8b^3\end{aligned}\)

So the expression (3a - 2b)³ expanded is 27a³ - 54a²b + 36ab² - 8b³.

One product/service that is currently in the decline stage is DVD rentals. The decline can be attributed to the rapid rise of digital streaming platforms and the decreasing popularity of physical media. Companies competing in a declining market have strategic options such as harvesting and divesting. Harvesting involves maximizing profits from the declining product/service by reducing costs and maintaining a loyal customer base, while divesting involves exiting the market and reallocating resources to more profitable ventures.

DVD rentals are in the decline stage of the product lifecycle due to several factors. The advent of digital streaming platforms like Netflix, Hulu, and Amazon Prime Video has revolutionized the way people consume media. The convenience and vast content libraries offered by these platforms have led to a significant decline in DVD rentals. Moreover, the proliferation of high-speed internet connections and the increasing availability of streaming devices have made it easier for consumers to access digital content.

In a declining market, companies have strategic options to consider. One option is harvesting, which involves maximizing profits from the declining product/service. Companies can achieve this by reducing costs associated with production, distribution, and marketing, as the demand for the product/service diminishes. They may also focus on retaining their loyal customer base by providing incentives, discounts, or exclusive offers. For example, DVD rental companies may lower rental fees, offer bundle deals, or introduce loyalty programs to retain their remaining customers.

Another strategic option is divesting, which involves exiting the declining market altogether. Companies may choose to reallocate their resources to more profitable ventures or invest in emerging technologies or industries. In the case of DVD rentals, companies could divest by shutting down physical rental stores and selling off their DVD inventory. They could then shift their focus to digital streaming services or invest in other areas with growth potential, such as content production or streaming device manufacturing.

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The information given in the question is not enough to determine the number of individuals who participated in the study. The t(12) value reported by the researcher indicates that the study had 12 degrees of freedom, which means that there were 12 participants in the study. However, the p-value provided in the question, p > .05, does not give us enough information to determine whether the results of the study are statistically significant or not.

To determine the significance of the study, we would need to know the significance level that was used to test the null hypothesis. If the significance level was .05 or less, then the results would be considered statistically significant, and we would reject the null hypothesis. If the significance level was greater than .05, then the results would not be statistically significant, and we would fail to reject the null hypothesis. Without this information, we cannot determine the significance of the study or the number of individuals who participated in it.

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Answer:

Put

\(x < - 2 - 2y\)

Then put some of value to y and get x then we can graph it

Answer:

the surface area is 263.76 feet²

hope this helps

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