At what point would the equations intersect? 3x - 7 and 2x - 5

Answer:

r = -75.2

Step-by-step explanation:

r/-8 = 9.4. r = -75.2

Answer:

-75.2

Step-by-step explanation:

r/-8 = 9.4

r = 9.4 . -8

r = -75.2

Answer:

2.67

Step-by-step explanation:

Answer:

tanA=BC/AC

BC=20

AC=48

so,BC/AC=20/48=5/12

Answer:

y = 4/3x + 9

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)

And if you find my answer helpful, please consider marking it Brainliest

The points correspond to the points on curve r = 1 - cos(θ) where the tangent line is vertical or horizontal are - (0, 1), (π, -1), (-π/2, 0), (π/2, 0), and (π/2, 1).

The equation given is r = 1 - cos(θ), where -π ≤ θ ≤ π. We need to find the points in this interval where the curve has a vertical or horizontal tangent line.

To find the points where the curve has a vertical tangent line, we need to find the values of θ where the derivative of r with respect to θ is undefined or infinite. Let's find the derivative of r with respect to θ.

First, we need to express r in terms of x and y using the polar coordinate conversion formulas:

x = r*cos(θ)

y = r*sin(θ)

Using these formulas, we can express r in terms of x and y:

r = sqrt(x^2 + y^2)

Now, let's find the derivative of r with respect to θ:

dr/dθ = (dx/dθ)*(∂r/∂x) + (dy/dθ)*(∂r/∂y)

Using the chain rule and the partial derivatives of r with respect to x and y, we get:

dr/dθ = (-r*sin(θ))*(cos(θ)) + (r*cos(θ))*(-sin(θ))

      = -r*sin(θ)*cos(θ) - r*cos(θ)*sin(θ)

      = -2r*sin(θ)*cos(θ)

Now, we set dr/dθ equal to undefined or infinite to find the points where the curve has a vertical tangent line:

-2r*sin(θ)*cos(θ) = undefined or infinite

For the curve r = 1 - cos(θ), we substitute this into the equation:

-2(1 - cos(θ))*sin(θ)*cos(θ) = undefined or infinite

Simplifying this equation, we get:

-2sin(θ)*cos(θ) + 2sin^2(θ)*cos(θ) = undefined or infinite

To find the points where the curve has a horizontal tangent line, we need to find the values of θ where the derivative of r with respect to θ is equal to 0. Let's set dr/dθ equal to 0 and solve for θ:

-2sin(θ)*cos(θ) + 2sin^2(θ)*cos(θ) = 0

Factoring out common terms, we get:

-2sin(θ)*cos(θ)*(1 - sin(θ)) = 0

Setting each factor equal to 0, we have two cases:

1) -2sin(θ)*cos(θ) = 0

2) 1 - sin(θ) = 0

Solving the first equation, we have:

sin(θ) = 0 or cos(θ) = 0

For sin(θ) = 0, we have two solutions in the given interval:

θ = 0 and θ = π

For cos(θ) = 0, we have two solutions in the given interval:

θ = -π/2 and θ = π/2

Solving the second equation, we have:

1 - sin(θ) = 0

sin(θ) = 1

The only solution in the given interval is:

θ = π/2

So, the points in the interval -π ≤ θ ≤ π where the curve has a vertical or horizontal tangent line are:

(0, 1), (π, -1), (-π/2, 0), (π/2, 0), and (π/2, 1)

Know more about the tangent line

https://brainly.com/question/30162650

#SPJ11

The probability that at least eight adults in the sample have been to a museum is approximately 0.3756 or 37.56%.

To pass the quiz, a student must get 60% or more of the questions correct. Each question has five possible answers, one of which is correct, so the probability of guessing the correct answer to a single question is 1/5. Therefore, the probability of guessing the correct answer to exactly six questions (the minimum number needed to pass) is:

P(6 correct) = (10 choose 6) * (1/5)^6 * (4/5)^4 = 0.2508

Similarly, the probability of guessing the correct answer to exactly seven, eight, nine, or ten questions is:

P(7 correct) = (10 choose 7) * (1/5)^7 * (4/5)^3 = 0.1210

P(8 correct) = (10 choose 8) * (1/5)^8 * (4/5)^2 = 0.0282

P(9 correct) = (10 choose 9) * (1/5)^9 * (4/5)^1 = 0.0013

P(10 correct) = (10 choose 10) * (1/5)^10 * (4/5)^0 = 0.00003

The probability of passing the quiz is the sum of these probabilities:

P(passing) = P(6 correct) + P(7 correct) + P(8 correct) + P(9 correct) + P(10 correct) = 0.4014

Therefore, the probability that a student will pass the quiz by randomly guessing is approximately 0.4014 or 40.14%.

Let X be the number of adults in the sample who have been to a museum. X follows a binomial distribution with parameters n = 10 and p = 1 - 0.15 = 0.85, where n is the sample size and p is the probability that an adult has been to a museum.

To find the probability that at least eight adults in the sample have been to a museum, we need to calculate the probability of getting 8, 9, or 10 successes:

P(X ≥ 8) = P(X = 8) + P(X = 9) + P(X = 10)

= (10 choose 8) * 0.85^8 * 0.15^2 + (10 choose 9) * 0.85^9 * 0.15 + (10 choose 10) * 0.85^10 * 0.0

= 0.3756

Therefore, the probability that at least eight adults in the sample have been to a museum is approximately 0.3756 or 37.56%.

Learn more about  probability and statistics

brainly.com/question/27342429

#SPJ11

Keith started with 44 cards.

So we need to work backwards.

After his dog ate half his collection, he had 25 cards.

To reverse that, you need to multiply 25 by 2.

25×2=50

If he bought 6 new cards that day, then he started with 6 cards less.

So you have to subtract 6 from 50.

50-6=44

♡ Hope this helped! ♡

❀ 0ranges ❀

To determine if there is a relationship between living near power lines and a rare disease, a study design that could be used is an observational cohort study.

This type of study involves identifying a group of individuals who are exposed to the suspected risk factor (living near power lines) and a comparison group of individuals who are not exposed to the same risk factor. The two groups would then be followed over time to determine the incidence of the rare disease in each group.

In this case, individuals who live near power lines would be identified as the exposed group, while individuals who do not live near power lines would be identified as the unexposed group. Both groups would be followed for a sufficient period of time to identify any differences in the incidence of the rare disease between the two groups.

However, it's important to note that in addition to living near power lines, other factors may also contribute to the development of the rare disease. To address this issue, the study would need to account for potential confounding variables such as age, gender, and other environmental exposures that may influence the relationship between living near power lines and the development of the rare disease.

Overall, an observational cohort study can be an effective study design for investigating the relationship between living near power lines and rare diseases. It can provide valuable information to help inform public health policy and guidelines related to living near power lines.

Learn more about lines here:

https://brainly.com/question/2696693

#SPJ11

Answer:

faith

Step-by-step explanation:

you are a Beautiful human being

i hope this helps! let me know if i got it wrong

I hope it's right have a great day :)

Answer:

13/7

Step-by-step explanation: YW :)

Answer:

\( \frac{13}{7} \)

Step-by-step explanation:

7×1+6/7

13/7

plz mark as brainliest

Answer: 1024

Step-by-step explanation:

2 x 2 is 4

4 x 2 is 8

8 x 2 is 16

16 x 2 is 32

32 x 2 is 64

64 x 2 is 128

128 x 2 is 256

256 x 2 is 512

512 x 2 is 1024

Answer:

i believe it would be all of the above.

Step-by-step explanation:

The average price of the pickup truck increased by 80%.

To find the percentage increase in the average price of the pickup truck, we need to calculate the difference between the 2012 and 1991 prices, divide that difference by the 1991 price, and then multiply by 100 to get the percentage increase.

First, we need to find the difference between the two prices:

$35,100 - $19,500 = $15,600

Next, we divide the difference by the 1991 price:

$15,600 / $19,500 = 0.8

Finally, we multiply by 100 to get the percentage increase:

0.8 x 100 = 80%

Therefore, the average price of the pickup truck increased by 80%.

for such more question on average price

https://brainly.com/question/25799822

#SPJ11

Answer:

x ≥ - 1

Step-by-step explanation:

10x + 5 ≥ 2x - 3 ( subtract 2x from both sides )

8x + 5 ≥ - 3 ( subtract 5 from both sides )

8x ≥ - 8 ( divide both sides by 8 )

x ≥ - 1

Carol consumed the whole nine-ounce package of grapes. if there are 60 calories per 3 ounce serving. 180 calories are included in 6 ounces of carol.

To calculate the probability of an occurrence, divide the total number of outcomes by the total number of possible outcomes. There are differences between probability and odds. Odds are calculated by dividing the likelihood that a circumstance will occur by the likelihood that it won't. Probability is a statistic used to assess the likelihood that an event will take place. When we toss the coin in the air, the probability that it will land with the heads side up is calculated. Here is a practical use of probability that you are probably already familiar with. We always check the weather forecast before a significant outing.

Since there are \(60\) calories in \(3\) ounces of ice cream

No of calories in \(1\) ounce of carol eat \(=60/3\)

Thus, the no of calories in \(9\) ounces of grapes\(=\) No of calories in \(1\) ounces of carol eat \(*9\)

= The no of calories in \(6\) ounces of carol eat \(= 20*9= 180\)

Learn more about Carol here

https://brainly.com/question/20392807

#SPJ4

The statistical method known as analysis of variance (ANOVA) is used to examine how different means differ from one another.

When you only run an omnibus/overall anova without any post-hoc tests, you will be unable to determine which of the groups are statistically different from each other. This is because an omnibus/overall anova simply tells you whether there is a significant difference between any of the groups, but does not tell you which groups are different. Follow up tests are needed to determine which of the groups are statistically different from each other.

Learn more about anova here

https://brainly.com/question/23638404

#SPJ4

The number 4 is a rational number, the negative square root of 4 as a fraction is -2/1

The number is given as:

Number = 4

Rewrite as:

x = 4

Take the square root of both sides

±√x = ±√4

Take the negative square root of 4

±√x = -2

Express as a fraction

±√x = -2/1

Hence, the negative square root of 4 as a fraction is -2/1

Read more about square roots at:

https://brainly.com/question/98314

#SPJ1

Answer:

B) <FBG

Step-by-step explanation:

An adjacent angle is an angle that is right next to the given angle.

In this case, the given angle is <EBF.

We can see that the only 2 options here for an adjacent set of angles is either <FBG or <EBD.

Looking at the options, we can only see that <FBG is an option, making B the correct option.

Hope this helps :)

The confidence associated with an interval estimate is called the confidence level.

When making an interval estimate, such as estimating a population parameter based on a sample, it is important to provide an indication of the level of confidence we have in the estimate. The confidence level represents the probability or level of certainty that the true population parameter falls within the calculated interval.

For example, if we calculate a 95% confidence interval for the mean height of a population, it means that we are 95% confident that the true population mean height lies within that interval. This implies that if we were to repeat the sampling and interval estimation process multiple times, approximately 95% of the intervals would contain the true population parameter.

The confidence level is typically expressed as a percentage, such as 90%, 95%, or 99%. A higher confidence level indicates a greater level of certainty in the interval estimate but also results in a wider interval.

In summary, the confidence level associated with an interval estimate represents the level of confidence or probability that the interval contains the true population parameter.

To know more about confidence level click here :

https://brainly.com/question/22851322

#SPJ4

Answer:

f(x)=2x+x2

Identify the exponents on the variables in each term, and add them together to find the degree of each term.

2x→1

x^2→2

The largest exponent is the degree of the polynomial.

2

Step-by-step explanation:

if it helped you please mark me a brainliest :))

To compare round trip times to the number of hops from a local host to the three hosts, www.tsinghua.edu.cn, www.usyd.edu.au and www.harvard.edu, we can measure the time it takes for the packet of data to make the round trip from the local host to each of the three remote hosts at different times of a day (e.g., morning, afternoon and evening). By doing this, we can observe how the round trip time and the number of hops are correlated at different times of a day. We can then compare the correlation with our expectations.

We can expect that the round trip time should increase with the number of hops and that the round trip time should be shorter in the morning when internet traffic is relatively light compared to the afternoon or evening when internet traffic is heavier.

By analyzing the results of the round trip time tests, we can determine if these expectations are correct. If the round trip time does increase with the number of hops, and if the round trip time is shorter in the morning compared to the afternoon or evening, then our expectations are correct.

Compare round trip times to the number of hops : https://brainly.com/question/31056568

#SPJ11

The coordinates of an undefined slope are points that are either the same or have no x-value. In both cases, the slope of a line between these points would be undefined because it would involve dividing by 0, which is not allowed in mathematics. This is because the slope of a line is calculated by dividing the difference in y-coordinates by the difference in x-coordinates, and if the x-coordinates are the same or do not exist, this division would result in an undefined value.

Answer:

Kai will walk 8 miles

Step-by-step explanation:

Have a gr8 day!

The equation of the lime in R^2 through distinct points (x1,x2) and (x2,y2) can be written as det as 0

Let (x1,y1) and (x2,y2) be two distinct points in R^2.

The equation of a line passing through two points in the plane can be written in the form y = mx + b, where m is the slope of the line and b is the y-intercept.

We can find the slope of the line by:

m = (y2 - y1)/(x2 - x1)

We can rewrite this equation in the form:

y - y1 = m(x - x1)

Expanding this equation, we get:

y - y1 = (y2 - y1)/(x2 - x1) (x - x1)

Multiplying both sides by (x2 - x1), we get:

(x2 - x1)(y - y1) = (y2 - y1)(x - x1)

Simplifying, we get:

x(y2 - y1) - y(x2 - x1) + x2y1 - x1y2 = 0

This equation can be written as:

\begin{vmatrix}

1 & x & y\

1 & x1 & y1\

1 & x2 & y2

\end{vmatrix} = 0

which is the same as the determinant expression given in the problem statement.

Therefore, we have shown that the equation of the line passing through two distinct points (x1,y1) and (x2,y2) can be written as det = 0.

For such more question on equation:

https://brainly.com/question/17145398

#SPJ11

Answer:

Honestly dude try your hardest u got this i belive in u ask your mom or dad or big brother or big sister if your seeing this right now im trying to help if if u love your mom u would do the same.

Step-by-step explanation:

The answer is: a. Yes, the forecast fails the bias test.

To determine whether the forecast fails the bias test, we need to compare the Average Error (AE) with zero.

If the AE is significantly different from zero, it indicates the presence of bias in the forecast. If the AE is close to zero, it suggests that the forecast is unbiased.

In this case, the Average Error (AE) is -2.0, which means that, on average, the forecast is 2.0 units lower than the actual values. Since the AE is not zero, we can conclude that there is a bias in the forecast.

Therefore, the answer is:

a. Yes, the forecast fails the bias test.

Learn more about bias test from

https://brainly.com/question/32000527

#SPJ11