How many solutions to y=2x-3 y=-x+3

Given:

\(\tan 8\theta =\cot 7\theta\)

To find:

The value of \(\theta\).

Solution:

We have,

\(\tan 8\theta =\cot 7\theta\)

We know that, \(\cot \theta =\tan (90^\circ -\theta)\).

Using the trigonometric property, we get

\(\tan 8\theta =\tan (90^\circ -7\theta)\)

On comparing both sides, we get

\(8\theta =90^\circ -7\theta\)

\(8\theta +7\theta=90^\circ \)

\(15\theta=90^\circ \)

Divide both sides by 15.

\(\theta=\dfrac{90^\circ}{15}\)

\(\theta=6^\circ\)

Therefore, the value of \(\theta\) is 6 degrees.

The produce a 95% confidence interval with a margin of error of 4% sample size of 451 the proportion of people eating breakfast is 75%.

The required sample size for a 95% confidence interval with a margin of error of 4% (0.04) and a proportion of 75%,

n = (Z² × p × (1-p)) / E²

where:

n = sample size

Z = Z-score corresponding to the desired confidence level (95% confidence level corresponds to a Z-score of approximately 1.96)

p = proportion of people eating breakfast (expressed as a decimal, so 75% is 0.75)

E = margin of error (0.04)

n = (1.9² × 0.75 × (1-0.75)) / 0.04²

n =(3.8416 × 0.75 × 0.25) / 0.0016

n = 0.7209 / 0.0016

n = 450.56

a fractional sample size, to round up to the nearest whole number.

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Answer:

ok

Step-by-step explanation:

The exact value of the integral is \(\frac{1}{30} \ln^2(x^{15}) + C,\) where C is the constant of integration.

To evaluate the integral \(\int \frac{\ln(x^{15})}{x} dx\), we can use integration by substitution. Let's set \(u = ln(x^{15}).\) Differentiating both sides with respect to x, we have:

\(\frac{du}{dx} = \frac{1}{x} \cdot 15x^{14}\\du = 15x^{13} dx\)

Now, substituting u and du into the integral, we get:

\(\int \frac{\ln(x^{15})}{x} dx = \int \frac{u}{15} du\\= \frac{1}{15} \int u du\\= \frac{1}{15} \cdot \frac{u^2}{2} + C\\= \frac{1}{30} u^2 + C\\\)

Replacing u with \(ln(x^{15})\), we have:

\(\int \frac{\ln(x^{15})}{x} dx = \frac{1}{30} \cdot \left(\ln(x^{15})\right)^2 + C\\= \frac{1}{30} \ln^2(x^{15}) + C\)

Therefore, the exact value of the integral is \(\frac{1}{30} \ln^2(x^{15}) + C,\) where C is the constant of integration.

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Answer:

pagpalit og pandesal og kopiko didto sa bakery

Goblin Birt can take 15 minutes to count the coins in the bag by himself.

The unitary method is a process for solving a problem by first finding the value of a unit, and then finding the necessary value by multiplying the single unit value.

According to the problem,

∴ In 10 minutes Goblin gryh can count the coins in the bag.

∴ In 1 minute Goblin gryh can count \(\frac{1}{10}\) th part of the coins in the bag.

Again, according to the problem,

∴ In 6 minutes, Goblin gryh and Goblin Birt both can count all the coins in the bag

∴ In 1 minute, Goblin gryh and goblin Birt both can count \(\frac{1}{6}\) th  part of the coins in the bag.

∴ In 1 minute, Goblin Birt can count \((\frac{1}{6} - \frac{1}{10})\) th part of the coins in the bag.

                                             = \(\frac{5-3}{30} = \frac{2}{30} = \frac{1}{15}\) th part of the coins.

∴ We can say,

Goblin Birt can count \(\frac{1}{15}\) th part of the coins in the bag in 1 minute.

∴ Goblin Birt himself can count all the coins in the bag in 15 minutes.

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Answer:

A

Step-by-step explanation:

Subtract 1 on both sides of the inequality

we get x>4.

So graph A is correct.

Answer:

Speed of Train #1 is 49mph and speed of Train #2 is 64mph.

Step-by-step explanation:

Net present value is a measure of profitability. The NPV of an investment is the net cash inflow received over the project's life, less the initial cash outflow, adjusted for the time value of money.

A higher NPV means the project is more lucrative. The profitability index measures the benefit-cost ratio of a project and is calculated by dividing the present value of future cash flows by the initial cash outflow. A profitability index greater than one indicates that the project will be profitable, whereas a profitability index less than one indicates that the project will not be profitable.

Calculation of Net Present Value (NPV) of Project AInitial Outlay = $454,000Net annual cash flows = $68,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project A = PV of net cash flows – Initial OutlayNPV of Project A = 68,000 × 7.63930 – 454,000NPV of Project A = $56,201.85Calculation of Profitability Index of Project AProfitability Index of Project A = Present value of future cash flows / Initial OutlayProfitability Index of Project A = 68,000 × 7.63930 / 454,000Profitability Index of Project A = 1.14

Calculation of Net Present Value (NPV) of Project BInitial Outlay = $300,000Net annual cash flows = $47,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project B = PV of net cash flows – Initial OutlayNPV of Project B = 47,000 × 6.10338 – 300,000NPV of Project B = $37,100.86Calculation of Profitability Index of Project BProfitability Index of Project B = Present value of future cash flows / Initial OutlayProfitability Index of Project B = 47,000 × 6.10338 / 300,000Profitability Index of Project B = 0.96

The NPV and profitability index calculations show that project A is the better investment since it has a higher NPV and profitability index than project B.

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If Melanie sales one night were $730.84, she made $131.55 in tip.

We know that The formula for the percentage is:

percent = (number of parts / total number of possible parts) × 100%

Melanie sales one night were $730.84

Also she earns an average of 18% tip while waiting table at a local retaurant.

Let us assume that she made m dollars in tip.

To find the value of m, we need to calculate 18 percent of $730.84

⇒ m = 18 percent of 730.84

⇒ m = (18/100) × 730.84

⇒ m = $131.5512

Therefore, she made 131.55 dollars in tip.

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Answer: Ummm   Thanks :D

Step-by-step explanation:

Answer: =38x+16.                                                            

a_{\color{red}{8}}=(\color{blue}{3x-5}) + (\color{red}{8}-1)(\color{green}{5x+3})

a

8

​

=(3x−5)+(8−1)(5x+3)

a_{8}=3x-5+ 7(5x+3)

a

8

​

=3x−5+7(5x+3)

a_{8}=3x-5+35x+21

a

8

​

=3x−5+35x+21

Answer:

geometric (so it's a 1:3 ratio I believe)

Step-by-step explanation:

you're multiplying by 3 each time

The probability that the plant died because the neighbor forgot to water it is approximately 0.49 or 49% based on the given information.

Given, you ask a neighbor to water a sickly plant while you are on vacation. Without water, the plant will die with probability 0.9. With water, it will die with probability 0.55. You are 89% certain the neighbor will remember to water the plant. When you return from vacation, the plant is dead.The probability that the plant died because the neighbor forgot to water it can be calculated as follows:Let A be the event that the neighbor remembered to water the plant and B be the event that the plant died. We are required to find P(A'|B), where A' is the complement of A.P(A)

= 0.89 and P(A')

= 0.11, as P(A) + P(A')

= 1.

Now, we need to calculate P(B|A) and P(B|A') in order to use Bayes' theorem.P(B|A)

= Probability that the plant died given that the neighbor remembered to water it

= 0.55P(B|A')

= Probability that the plant died given that the neighbor forgot to water it

= 0.9We can now use Bayes' theorem to calculate P(A'|B):P(A'|B)

= (P(B|A') * P(A')) / (P(B|A) * P(A) + P(B|A') * P(A'))

= (0.9 * 0.11) / (0.55 * 0.89 + 0.9 * 0.11)≈ 0.49

.The probability that the plant died because the neighbor forgot to water it is approximately 0.49 or 49% based on the given information.

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Number of cupcakes 2

number od cookies 5

100 = 10^2

1000 = 10^3

10000 = 10^4

0.1 = 10^(-1)

0.01 = 10^(-2)

0.001 = 10^(-3)

Now,

100 × 0.1 = 10^2 × 10^(-1)

= 10

Answer:

half of 30

Step-by-step explanation:

19 - 4 = 15

24 - 9 = 15

Answer:

Step by step Explanation:

3x=20

x=20/3

x=6.6667

length=20.0001

width=6.6667

In general, different refrigerants should not be mixed or recovered into the same cylinder.

Different refrigerants have unique chemical compositions and properties that make them incompatible with one another. Mixing different refrigerants can lead to unpredictable reactions, loss of refrigerant performance, and potential safety hazards. Therefore, it is generally recommended to avoid recovering different refrigerants into the same cylinder.

When recovering refrigerants, it is important to use separate recovery cylinders or tanks for each specific refrigerant type. This ensures that the refrigerants can be properly identified, stored, and recycled or disposed of in accordance with regulations and environmental guidelines.

The refrigerant recovery process involves capturing and removing refrigerant from a system, storing it temporarily in dedicated containers, and then transferring it to a proper recovery or recycling facility. Proper identification and segregation of refrigerants during the recovery process help maintain the integrity of each refrigerant type and prevent contamination or cross-contamination.

To maintain the integrity and safety of different refrigerants, it is best practice to recover each refrigerant into separate cylinders. Mixing different refrigerants in the same cylinder can lead to complications and should be avoided. Following proper refrigerant recovery procedures and guidelines helps ensure the efficient and environmentally responsible management of refrigerants.

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The number of different refrigerants that may be recovered into the same cylinder is zero.

When it comes to refrigerants, it is important to understand that different refrigerants should not be mixed together. Each refrigerant has its own unique properties and should be handled and stored separately. mixing refrigerants can lead to chemical reactions and potential safety hazards.

The recovery process involves removing refrigerants from a system and storing them in a cylinder for proper disposal or reuse. During the recovery process, it is crucial to ensure that only one type of refrigerant is being recovered into a cylinder to avoid contamination or mixing.

Therefore, the number of different refrigerants that may be recovered into the same cylinder is zero. It is essential to keep different refrigerants separate to maintain their integrity and prevent any adverse reactions.

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The surface area of a sphere is 314.16 square units.

A sphere is a 3 dimensional figure, which is made up of all points in the space, which lie at a constant distance called the radius, from a fixed point called the center of the sphere.

For the given situation,

The radius of the sphere,r =  5 units

The formula of the surface area of a sphere is

\(A=4\pi r^{2}\)

On substituting the above values,

⇒ \(A=4(3.14)(5)^{2}\)                [∵ π = 3.14]

⇒ \(A=(4)(3.14)(25)\)

⇒ \(A=314.16\)

Hence we can conclude that the surface area of a sphere is 314.16 square units.

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Answer:

n

Step-by-step explanation:

2n - n ← factor out n from each term

= n(2 - 1)

= n × 1

= n

Answer: Alternate exterior angles

Step-by-step explanation:

Let the amount of the 30% solution be x gallons.

Then the amount of the 10% solution is (100 - x) gallons.

The amount of juice in the 30% solution is 0.3x gallons.

The amount of juice in the 10% solution is 0.1(100 - x) gallons.

When the two solutions are mixed, we get 100 gallons of a 12% juice solution, which means:

0.3x + 0.1(100 - x) = 0.12(100)

Simplifying this equation, we get:

0.3x + 10 - 0.1x = 12

0.2x = 2

x = 10

Therefore, 10 gallons of the 30% solution was used.

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D:) o b what ? you very whell

Step-by-step explanation:

A b. d. c

Answer:

The answer is -2

Step-by-step explanation:

I got this answer on Khan Academy.

Hope this helps! :)

The point (7,84) represents a precise location on a graph or coordinate plane.

A coordinate is a set of values that specifies the position or location of a point in a geometric space.

The point (7,84) represents a specific location on a graph or coordinate plane. The first number, 7, represents the point's position on the x-axis, which is a horizontal line that runs left to right. The second number, 84, represents the point's position on the y-axis, which is a vertical line that runs up and down. Together, the two numbers give us a precise location for the point.

In this situation, we don't have enough context to know what the point (7,84) represents. It could be the location of a city on a map, the amount of rainfall in inches on a specific day, or the price of a stock at a particular time. However, regardless of the situation, the point (7,84) is simply a specific location in a two-dimensional space that has been identified using coordinates.

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Complete Question:

What does the point (7,84) represent in the graph?​ And define the explanation for each value.

Answer:

6

Step-by-step explanation:

M is midpoint of LN, so 3x = 2x + 2

3x = 2x + 2

3x - 2x = 2x + 2 - 2x

x = 2

LM is = 3x, so it's 3.2 = 6 units

Hope this helps ^-^

Answer:

252, 259 and 266

Step-by-step explanation:

Multiples of a number are those numbers that are divisible by that. Like if x and y are any two numbers then if y is a multiple of x then the remainder should be equal to zero when x is divided from y.

Answer:

Three consecutive multiples of 7 whose sum is equal to 777 are 252, 259 and 266.

Please click above answer.

Please do 3 brainliests because I need.

Answer:

Largest whole number that divides evenly into both numbers.

Step-by-step explanation:

GCF is greatest common factor. It is also known as LCM of lowest common multiple.

It is the set of whole numbers that divides evenly into all numbers with zero remainder.

For example, three numbers are 8,12 and 20.

The factors of 8 are: 1, 2, 4, 8

The factors of 12 are: 1, 2, 3, 4, 6, 12

The factors of 20 are: 1, 2, 4, 5, 10, 20

The GCF of these three numbers is 4. 4 divides evenly into all numbers.

Hence, the correct option is (B).

Answer:

A and E

Step-by-step explanation:

hope yall have a great day!

The correct statement is: The margin of error is plus or minus 3%.

To determine the margin of error based on the given confidence interval, we can calculate half the width of the interval. The margin of error is the maximum likely difference between the true proportion and the sample estimate.

The given confidence interval is (40%, 46%), so the width of the interval is 46% - 40% = 6%.

The margin of error is half of the width of the interval, so the margin of error is 6% / 2 = 3%.

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The portion of the parabola from t=-1 to t=1 can be parametrized as x=2t²-4 and y=t.

A parabola is a symmetrical and U-shaped curve that is defined by a mathematical equation.

In this case, we will use the variable t to represent the y-coordinate and find the corresponding x-coordinate. The equation becomes y=t, and substituting this into the original equation, we get

=> x=2t²-4.

To find the portion of the parabola where -1≤t≤1, we can plot the points (x, y) for various values of t in this range.

when t=-1,

=> x=2(-1)²-4 = 0.

And when

t=1, x=2(1)²-4 = -2.

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