The table shows values for the side lengths a, b, and c from figure ABC. Can ABC be a triangle? The answer is NOT B​

The solutions to the equation 5x³=405x are x=0, x=9, x=-9.

An equation is a formula in mathematics that expresses the equality of two expressions by connecting them with the equals sign = The word equation and its cognates in other languages may have subtly different meanings; for example, in French, an equation is defined as containing one or more variables, whereas in English, an equation is any well-formed formula consisting of two expressions related with an equals sign.

An equation is similar to a scale into which weights are placed. When equal weights of material  are placed in the two pans, the scale is balanced and the weights are said to be equal.

Solving an equation with variables entails determining which variables values make the equality true.

Given, 5x³=405x

5x³-405x=0

5x(x²-81)=0

5x=0 and x²-81=0

If 5x=0 then,

x=0

If x²-81=0

x²=81

x=±9

Therefore, x=0, x=±9

To know more about equation, visit:

https://brainly.com/question/545403

#SPJ4

Answer: r=4

Step-by-step explanation:

12/3 = 4

48/3 = 4

192/48 = 4

The best represents causation is D, As the sale of winter coats increase the amount of hot chocolate sold decreases.

Causation can be defined as the capacity of one variable to influence another. The first variable may bring the second into existence.

There are two types of causation:

Therefore the correct option is D because the best way to represent causation is when a sale of winter coat increases the amount of hot chocolate sold  decreases.

Learn more about causation here: brainly.com/question/12479370

#SPJ1

1. It is IMPOSSIBLE to determine whether z* will be accepted based on the given inequality alone. The acceptance of z* depends on the Metropolis-Hastings acceptance criterion, which takes into account the ratio of target and proposal probabilities and a random comparison.

2. z* will ALWAYS be accepted if p(z*)q(z|z*) >= p(z)q(z*|z). In this case, the proposed sample has a higher probability under the target distribution than the current sample, making it more favorable.

3. z* will NEVER be accepted if p(z)q(z*|z) >= p(z)q(z|z*). In this case, the current sample has a higher probability under the target distribution than the proposed sample, making it more favorable.

4. It is IMPOSSIBLE to determine whether z* will be accepted based on the given inequality alone. The acceptance of z* depends on the Metropolis-Hastings acceptance criterion.

5. If the proposal distribution is SYMMETRIC, then p(z*)q(z|z*) <= p(z)q(z*|z) will ALWAYS lead to the acceptance of z*. The symmetry of the proposal distribution cancels out the ratio of proposal probabilities, making the acceptance solely dependent on the ratio of target probabilities.

6. If the proposal distribution is SYMMETRIC, then p(z*)q(z|z*) >= p(z)q(z*|z) will NEVER lead to the acceptance of z*. The symmetry of the proposal distribution cancels out the ratio of proposal probabilities, making the acceptance solely dependent on the ratio of target probabilities.

7. If the proposal distribution is SYMMETRIC, it is IMPOSSIBLE to determine whether z* will be accepted based on the given inequality alone. The acceptance of z* depends on the Metropolis-Hastings acceptance criterion.

8. If the proposal distribution is SYMMETRIC, then p(z*)q(z*|z) >= p(z)q(z*|z) will ALWAYS lead to the acceptance of z*. The symmetry of the proposal distribution cancels out the ratio of proposal probabilities, making the acceptance solely dependent on the ratio of target probabilities.

To know more about Metropolis-Hastings

https://brainly.com/question/33066501

#SPJ11

The degree 2 Taylor polynomial of the curve y(x) = √(1 - x² - 2x) at the point (x, y) = (1, 0) is given by the equation y(x) ≈ -x + 1.

To find the degree 2 Taylor polynomial of y(x) at the point (x, y) = (1, 0), we need to compute the first and second derivatives of y(x) with respect to x. The equation of the curve, x² + y² + 2xy = 1, can be rearranged to solve for y(x):

y(x) = √(1 - x² - 2x).

Evaluating the first derivative, we have:

dy/dx = (-2x - 2) / (2√(1 - x² - 2x)).

Next, we evaluate the second derivative:

d²y/dx² = (-2(1 - x² - 2x) - (-2x - 2)²) / (2(1 - x² - 2x)^(3/2)).

Substituting x = 1 into the above derivatives, we get dy/dx = -2 and d²y/dx² = 0. The Taylor polynomial of degree 2 is given by:

y(x) ≈ f(1) + f'(1)(x - 1) + (1/2)f''(1)(x - 1)²,

      ≈ 0 + (-2)(x - 1) + (1/2)(0)(x - 1)²,

      ≈ -x + 1.

Therefore, the degree 2 Taylor polynomial of y(x) at (x, y) = (1, 0) is y(x) ≈ -x + 1.

To learn more about Taylor visit:

brainly.com/question/30481013

#SPJ11

Answer:

389 hours and 23 minutes

Step-by-step explanation:

16x24=384

384+=5=389

and 23 minutes

Answer:

A is the answer I think

Step-by-step explanation:

The answer is A.

f(x) = x 2

Answer:

approx. $1.85 or $1.86 each marker

Answer:

1.85 for each

Step-by-step explanation:

Answer:

a) Number of projects in the first year = 90

b) Earnings in the twelfth year = $116500

Total money earned in 12 years = $969000

Step-by-step explanation:

Given that:

Number of projects done in fourth year = 129

Number of projects done in tenth year = 207

There is a fixed increase every year.

a) To find:

Number of projects done in the first year.

This problem is nothing but a case of arithmetic progression.

Let the first term i.e. number of projects done in first year = \(a\)

Given that:

\(a_4=129\\a_{10}=207\)

Formula for \(n^{th}\) term of an Arithmetic Progression is given as:

\(a_n=a+(n-1)d\)

Where \(d\) will represent the number of projects increased every year.

and \(n\) is the year number.

\(a_4=129=a+(4-1)d \\\Rightarrow 129=a+3d .....(1)\\a_{10}=207=a+(10-1)d \\\Rightarrow 207=a+9d .....(2)\)

Subtracting (2) from (1):

\(78 = 6d\\\Rightarrow d =13\)

By equation (1):

\(129 =a+3\times 13\\\Rightarrow a =129-39\\\Rightarrow a =90\)

Number of projects in the first year = 90

b)

Number of projects in the twelfth year =

\(a_{12} = a+11d\\\Rightarrow a_{12} = 90+11\times 13 =233\)

Each project pays $500

Earnings in the twelfth year = 233 \(\times\) 500 = $116500

Sum of an AP is given as:

\(S_n=\dfrac{n}{2}(2a+(n-1)d)\\\Rightarrow S_{12}=\dfrac{12}{2}(2\times 90+(12-1)\times 13)\\\Rightarrow S_{12}=6\times 323\\\Rightarrow S_{12}=1938\)

It gives us the total number of projects done in 12 years = 1938

Total money earned in 12 years = 500 \(\times\) 1938 = $969000

The value of this polynomial function at f(0) is equal to 5.

The value of this polynomial function at f(1) is equal to 8.

The value of this polynomial function at f(-3) is equal to -34.

In order to determine the value of this polynomial function, we would have to substitute the input value (x-value) into the given polynomial as follows:

At f(0), the value of x is equal to 0, so we would have:

f(x) = 2x³ - 5x + 5

f(0) = 2(0)³ - 5(0) + 5

f(0) = 5.

At f(1), the value of x is equal to 1, so we would have:

f(x) = 2x³ - 5x + 5

f(1) = 2(1)³ - 5(1) + 5

f(1) = 8 - 5 + 5.

f(1) = 8.

At f(-3), the value of x is equal to -3, so we would have:

f(x) = 2x³ - 5x + 5

f(-3) = 2(-3)³ - 5(-3) + 5

f(-3) = -54 + 15 + 5.

f(-3) = -34.

Read more on polynomials here: brainly.com/question/4208354

#SPJ1

Answer:

17/6 or 18/6

Step-by-step explanation:

1/3        11/2        first make sure they have the same bottom number

2/6       33/6       now find the in between

please give me a brainliest if this helps

All three components of the fire triangle are usually present whenever and wherever surgery is performed. The fire triangle consists of three elements: fuel, heat, and oxygen.

In the context of surgery, nitrous oxide can be considered as a source of the fuel component of the fire triangle. Nitrous oxide is commonly used as an anesthetic in surgery, and it is highly flammable. It can act as a fuel for fire if it comes into contact with a source of ignition, such as sparks or open flames.

Therefore, it is important for healthcare professionals to be aware of the potential fire hazards associated with the use of nitrous oxide in surgical settings and take appropriate safety precautions to prevent fires.

To know more about triangle visit:

https://brainly.com/question/2773823

#SPJ11

The exponential model as a logarithmic model that calculates the number of years, for the number of infected trees to reach a value of x, The logarithmic model is: g(x) = In x/0.4

We are given that there is an exponential function, for the amount of infected trees f(x) after x years.

We have to find the amount years needed for the number of infected trees to reach x, we find the inverse function, applying the natural logarithm.

The original function is: y = f(x) = eˣ

to find the inverse function, first, we exchange y and x, so:

= x

Now, we have to isolate y, and we start applying the natural logarithm to both sides of the equality. So:

In e⁰⁴y = In x

0.4y = In x

y = In x/0.4

Thus, the logarithmic model is:

g(x) = In x/0.4

To learn more about exponential model, click here:

brainly.com/question/28596571

#SPJ4

Answer: Its A

Step-by-step explanation:

Answer:

C. Translation 5 units left and 2 units down

Step-by-step explanation:

Let's take a look at A', which is (0, 0). This is the result of A, which is (5, 2) being transformed somehow. Notice that the x-coordinate moved 5 units to the left (from 5 to 0, which means we subtract 5 from 5). And, notice that the y-coordinate moved 2 units down (from 2 to 0, so we subtract 2 from 2).

Look to see if this works for the other two points:

B(6, 1): if we subtract 5 from the x-coordinate 6, we get 6 - 5 = 1, which matches the x-coordinate of the image B'. If we subtract 2 from the y-coordinate of B, which is 1, we get 1 - 2 = -1, which also matches the y-coordinate of B'. So, this works.

C(4, 5): if we subtract 5 from the x-coordinate 4, we get 4 - 5 = -1, which matches the x-coordinate of the image C'. If we subtract 2 from the y-coordinate of C, which is 5, we get 5 - 2 = 3, which also matches the y-coordinate of C'. So, this again works.

Therefore, we know that the transformation is a translation 5 units left and 2 units down, or C.

A picture will be shown below of a graph with the points in the table.

We only need to use (5, 2) and (0, 0) to solve this problem.

We take both points and see what it took for the old point to get to where the new point is (Shown in picture below).

Therefore, the answer is [ C. Translation 5 units left and 2 units down ]

Best of Luck!

Answer:

3.6

Step-by-step explanation:

The average of 9 scores is x.

average = (sum of scores)/(number of scores)

x = (sum of scores)/9

sum of scores = 9x

The sum of the 9 scores is 9x.

The tenth score is 36 more than x, so it is x + 36.

The sum of the 10 scores is 9x + x + 36 = 10x + 36.

The average of the 10 scores is (10x + 36)/10 = x + 3.6

The difference of averages is

x + 3.6 - x = 3.6

The total pieces at the fruit stand is 60.

Let the number of apples, bananas and oranges sold be 3x, 2x and 1x. We have actual number of bananas. So equating them to find the value of x.

2x = 20

x = 20/2

Performing division

x = 10

So, number of apples = 3x

Number of apples = 3×10

Number of apples = 30

Similarly, number of oranges = 10

Total number of fruits = sum of the number of apples, bananas and oranges

Total number of fruits = 30 + 20 + 10

Total number of fruits = 60

Thus, there are 60 fruits to sell.

Learn more about fruit calculations -

https://brainly.com/question/5025184

#SPJ4

Answer:

is there a picture??!? I can't help without giving the data set.

Answer:

.5

Step-by-step explanation:

Answer:

Hope this helps you out

Step-by-step explanation:

After 9 weeks, the sunflower would be 39 inches tall.

After w weeks, the sunflower would be 15 + (2 * w) inches tall.

The percentile value to construct a 90% bootstrap confidence interval for the true mean amount of ammonium in the rainwater is equals to 5%.

If the bootstrap distribution is approximately symmetric, we can construct a confidence interval by finding the percentiles in the bootstrap distribution so that the proportion of bootstrap statistics between the percentiles matches the desired confidence level. We have a forest ranger which select a random rainwater sample from a watershed area in tennessee with

Sample size, n = 10

Ranger measures the amount of ammonium in each sample. Measurements to construct a 90% bootstrap confidence interval for true mean amount of ammonium in the rainwater. We have to determine the p-value for her ordered. Now,

The percentile bootstrap interval is just the interval between the 100×(α/2)100 and 100×(1−α/2) percentiles of the distribution of θ estimates obtained from resampling, where θ represents a parameter of interest and α is the level of significance. but we have to determine percentile value for 90% confidence interval. Here, level of significance for 90% is α = 1 - 0.90 = 0.10, α/2 = 0.05

So, percentile value = α/2 = 0.05

= 5%

The number of the bootstrap sample that must be chopped off to produce a 90% confidence interval is N = 10 ×α/2

=> N = 10× 0.05 = 0.5

Hence, required percentile value is 5%.

For more information about bootstrap distribution, visit :

https://brainly.com/question/19722567

#SPJ4

Answer:

The metal worker should use 10 kgs of 25% copper alloy and 40kgs  of 70% copper alloy to make it

Step-by-step explanation:

Answer:

The metalworker should use 10 kgs of 25% copper  and 40 kgs of 70% alloy to make it.

The crease in a folded sheet of wrapping paper is a Line.

According to the statement

we have to find that the type of the crease in the folded sheet of wrapping paper.

So, For this purpose, we know that the

A line is a one-dimensional figure, which has length but no width.

From the given information:

What is the type of the crease in the folded sheet of wrapping paper.

In the folded sheet paper it is not possible there is not a presence of the plane and the ray and the point.

Because this is not possible.

Now, the there is a presence of the line in the folded sheet of the paper.

So, The crease in a folded sheet of wrapping paper is a Line.

Learn more about line here

https://brainly.com/question/13763238

#SPJ9

Answer: We can start by using the information given to find the total bill amount.

If the water/sewer/garbage portion of the bill is 72% of the total bill, then the remaining 28% of the bill must be for other utilities. We can use a proportion to set up the equation:

72/100 = 94.41/x

where x is the total bill amount.

We can cross-multiply and solve for x:

72x = 100 * 94.41

x = (100 * 94.41) / 72

x = 123.84

To the nearest cent, the total amount of the utility bill was $123.84.

Step-by-step explanation:

Answer: It snowed 0.665 meters

hope this helps! :)

Answer:

Step-by-step explanation:

61.5cm= (6.15/100)m = .615m

The mean (μ) for the given binomial distribution is 0.50.

To calculate the mean (μ) of a binomial distribution, we multiply the number of trials (n) by the probability of success in a single trial (π). Let's examine each scenario in detail:

a. When n = 5 and π = 0.10:

μ = 5 * 0.10

  = 0.50

For this binomial distribution, with 5 trials and a success probability of 0.10, the mean (μ) is 0.50. This means that, on average, we would expect to have 0.50 successes per trial.

b. When n = 3 and π = 0.40:

μ = 3 * 0.40

  = 1.20

In this case, the mean (μ) of the binomial distribution is 1.20. It indicates that, on average, there would be 1.20 successes per trial when there are 3 trials and a success probability of 0.40.

c. When n = 5 and π = 0.50:

μ = 5 * 0.50

  = 2.50

For a binomial distribution with 5 trials and a success probability of 0.50, the mean (μ) is 2.50. This means that, on average, we would expect to have 2.50 successes per trial.

d. When n = 3 and π = 0.80:

μ = 3 * 0.80

  = 2.40

In this scenario, the mean (μ) of the binomial distribution is 2.40. It suggests that, on average, we would expect to have 2.40 successes per trial when there are 3 trials and a success probability of 0.80.

The mean (μ) provides a measure of the central tendency or the average number of successes in a binomial distribution based on the given parameters.

Learn more about binomial distribution  here:-

https://brainly.com/question/10741251

#SPJ11

Answer:

6/5

Step-by-step explanation:

3/4 ÷ 5/8

Keep Change Flip

3/4x8/5

=6/5

Hope this helps :)

The probability that a teenager plays varsity sports, given that they play a team sport, is approximately 0.4884 or 48.84%.

To find the probability that a teenager plays varsity sports given that they play a team sport, we can use conditional probability.

Let's denote:

A: Playing varsity sports

B: Playing a team sport

We are given:

P(B) = 43% = 0.43 (Probability of playing a team sport)

P(A) = 21% = 0.21 (Probability of playing varsity sports)

We need to find PA(|B), which represents the probability of playing varsity sports given that the teenager plays a team sport.

The conditional probability formula is:

P(A|B) = P(A ∩ B) / P(B)

P(A ∩ B) represents the probability of both A and B occurring simultaneously.

In this case, the probability of a teenager playing varsity sports and a team sport simultaneously is not given directly. However, we can make an assumption that all teenagers who play varsity sports also play a team sport. Under this assumption, we can say that P(A ∩ B) = P(A) = 0.21.

Now we can calculate P(A|B):

P(A|B) = P(A ∩ B) / P(B)

       = 0.21 / 0.43

      ≈ 0.4884

Therefore, the probability that a teenager plays varsity sports, given that they play a team sport, is approximately 0.4884 or 48.84%.

To learn more about probability click here:

brainly.com/question/22946813

#SPJ11