Solve angle ABC by using the measurements angle ABC = 90°, angle BAC = 35°, and a = 10. Round measures of sides to the nearest tenth and measures of angles to the nearest degree.​

The values of g(-4) = 0

                        g(-2) = 2

                        g(0) = 2

                        g(3) = -1

                        g(4) = -2

What is a function?

In mathematics, a function is a rule which assigns a unique output value to each input value in a given set. It shows a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. Functions are typically represented by an equation or a graph, and they play an important role in various fields of mathematics, science, engineering, and technology.

Using the given piecewise defined function:

g(x) = x + 4, −5 ≤ x ≤ −1

         2 − x, −1 < x ≤ 5

We can evaluate g at different values in its domain as follows:

g(−4) = (-4) + 4 = 0

g(−2) = (-2) + 4 = 2

g(0) = 2 - 0 = 2

g(3) = 2 - 3 = -1

g(4) = 2 - 4 = -2

Therefore:

g(-4) = 0

g(-2) = 2

g(0) = 2

g(3) = -1

g(4) = -2

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Answer:

-1

Step-by-step explanation:

y=mx+b

m=slope

-1x meaning that -1 is your slope

Answer:-1

Step-by-step explanation:

Answer:

12-12=21

Step-by-step explanation:

i think it is that

Answer: -2/7

|3x - 2| - 4x = 4

1) (3х - 2) - 4х = 4, if 3x - 2 >= 0

2) -(3x - 2) - 4x = 4, if 3x - 2 < 0

1)

3х - 4х = 4 + 2

-x = 6

x = -6

3х - 2 >= 0

3х >= 2

x >= 2/3 - wrong

2)

-3х + 2 - 4х = 4

-7х = 2

x = -2/7

3x-2<0

3x<2

3(-2/7)<2-right

Answer:

24414062 14

sj rjsjstushnaayaeyn

Answer:

x = 8.64

x = - 7.64

Both to 2 d.p

Step-by-step explanation:

Firstly, - 8 both side - cancels the +8 & get the surd to equal x - 8

Then, square root both side, to get:

x-2= x^2 - 64

+ 2 both side

x = x^2 - 66

-x

0= x^2 - 66 - x

x^2 - x - 66 = 0

general equation for quadratic is ax^2 + bx + c

Now, we can find the value of a, b, c using x^2 - x - 66 = 0

a=1

b= - 1

c= - 66

Now use quadratic formula

x = -b±√(b²-4ac))/(2a

= --1 + √ - 1 x - 1 - 4x1x-66 / 2x1

= 8.639.....

Now repeat with - b - & not - b +

x = -b±√(b²-4ac))/(2a

= --1 - √ - 1 x - 1 - 4x1x-66 / 2x1

= - 7.639.......

Answer:

no

Step-by-step explanation:

this is incorrect because it will not be double every month.

The probability of any particular fund outperforming the market in all ten years is approximately zero.

The probability of any specific fund to outperform the market in all 10 years is low.

The chance of performance relative to the market being truly random is low because the market follows a set of rules that govern its behavior, making it a non-random process.

In general, actively managed funds have failed to outperform the market over the long term. While it is possible for a fund to outperform the market for a year or two, this performance is seldom sustained over a longer period, making it unlikely that any fund will outperform the market in all ten years.

Active fund managers, who try to beat the market, have a much harder task than passive managers who simply track the market. According to one study, more than 95% of actively managed US stock funds failed to beat the market over a 10-year period, and only a tiny minority managed to do so in each of the ten years.

Although active fund managers sometimes outperform the market, it is impossible to predict which managers will be successful, and past performance is not a reliable indicator of future performance. Consequently, picking a random fund and expecting it to outperform the market in all ten years is unrealistic.

The probability of any particular fund outperforming the market in all ten years is approximately zero.

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The number of oranges that are expected to weigh more than 4 oz is:

1400 - (1400 × 0.0228)≈ 1368.

The mean weight of the oranges growing in an orchard is 8 oz and standard deviation is 2 oz, the distribution of the weight of oranges can be represented as normal distribution.

From the batch of 1400 oranges, the number of oranges is expected to weigh more than 4 oz can be found using the formula for the Z-score of a given data point.

\(z = (x - μ) / σ\)

Wherez is the Z-score of the given data point x is the data point

μ is the mean weight of the oranges

σ is the standard deviation

Now, let's plug in the given values.

\(z = (4 - 8) / 2= -2\)

The area under the standard normal distribution curve to the left of a Z-score of -2 can be found using the standard normal distribution table. It is 0.0228. This means that 0.0228 of the oranges in the batch are expected to weigh less than 4 oz.

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Answer: 8.1

Step-by-step explanation:

Answer:

Blank 1: (-7,0)

Blank 2: (-1,0)

Step-by-step explanation:

Plug x=0 into the equation and solve the resulting equation y=7 for y

Plug y=0 into the equation and solve the resulting equation 0=(x+1)(x+7) for x

Answer:

20 m/s

Step-by-step explanation:

speed = 100m /5s = 20 m/s

  = 72 km/hr

  = 72 km / hr *  1 mile / 1.609 km = 44.7 mph

didn't really get it but I think it's 2.38 m/s

Answer:

The speed at the first quarter checkpoint is

✔ 1.10 m/s.

The speed at the second quarter checkpoint is

✔ 1.93 m/s.

The speed at the third quarter checkpoint is

✔ 2.38 m/s.

The speed at the finish line is

✔ 2.82 m/s.

Answer:

Step-by-step explanation:

\(V=\pi R^2\cdot H\\\\V=13\,816\ m^3\\R=20\,m\\H=??\\\\13\,816=\pi\cdot20^2\cdot H\\\\13\,816=400\pi H\\\\13\,816\approx1256.637 H\\\\H\approx10.994424\,m\)

Answer:

1,2,3,

Step-by-step explanation:

Answer:

Step-by-step explanation:

Substitute the values of a and b

Answer:

Step-by-step explanation:

| 2 - 4a | - 2(b - 7)

let a = 3, b = -5

substitute a = 3, b = -5 into the equation:

| 2 - 4a | - 2(b - 7)

= | 2 - 4(3) | - 2(-5 - 7)

= | 2 - 12 | - 2(-12)

= | -10 | + 24

= 10 + 24

= 34

Answer:

See Down Here

Step-by-step explanation:

We want to get g(x) given that we know f(x) and the graphs for both functions. We will see that the correct option is D:

g(x) = (x/3)^2

By looking at the graph we can see that f(x) and g(x) are two quadratic functions, and g(x) is just a dilation of f(x).

This means that:

g(x) = A*f(x)

Where A is a real number.

We know that:

f(x) = x^2

And by looking at the graph, we also know that g(3) = 1.

Then we can write:

g(3) = A*f(3) = A*3^2 = 1

Now we can solve this for A:

A*3^2 = 1

A*9 = 1

A = 1/9

Then we have:

g(x) = (1/9)*f(x) = (1/9)*x^2 = (x/3)^2

So the correct option is D.

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\( \frac{2}{5} \times \frac{4}{7} + \frac{21}{35} \\ = \frac{8}{35} + \frac{21}{35} \\ = \frac{8 + 21}{35} \\ = \frac{29}{35} \)

\( \frac{29}{35} \)

Hope it helps.

Do comment if you have any query.

Answer: A. 83.7

Step-by-step explanation:

Answer:

a) 83.7

Step-by-step explanation:

Q) 18.6 × 4.5 = ?

→ 18.6 × 4.5

→ 83.7

So, option (a) is correct.

Answer:

BE=19 AD=29

Step-by-step explanation:

Using concepts of probability, it exists found that there exists a 4.7% probability that it arrives at American airlines (aa).

A probability exists given by the number of expected outcomes divided by the number of total outcomes.

Over a large number of trials, a percentage can also define the probability of a single event.

In this question, analyzing the problem on the internet, we have that over a considerable number of flights, of those which came on time, 4.7% of them were in  American airlines.

There exists a 4.7% probability that it arrives on American airlines(aa).

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Answer: 2316/16924 = 0.137 = 13.7%

Step-by-step explanation:

Answer:

- (4+2sqrt10)/3

Step-by-step explanation:

The only reason this problem needs to be worked on is that you can't have a radical on the bottom of a fraction(rational expression) . We'll use the CONJUGATE of the denominator(expression on the bottom) to get rid of the radicals.

The conjugate has the same terms as the bottom expression, but it has the OPPOSITE sign in between. Your question has

(root2 - root5). Then the CONJUGATE is

(root2 + root5).

We can't just randomly change the denominator of a number, so we will have to multiply the top by

(root2 + root5) also.

see image.

Multiplying these terms is very similar to multiplying binomials. Use distributive property or, if you know the method, FOIL. You may have learned a box method. This multplication is shown with the arrows in the attached image.

see image.

However, since |X| and Z are not directly dependent on each other, their covariance will be 0. So, Cov(|X|, Z) = 0.

To find the covariance of |X| and Z, first let's understand the terms and the relationship between them.

Since X is a continuous random variable symmetric about Y, the probability distribution of X is symmetric around Y.

Now, Z is a binary random variable that takes the value 1 if X > Y, and 0 if X <= Y. Now, let's find the covariance:

Cov(|X|, Z) = E[(|X| - E[|X|])(Z - E[Z])]

Since X is symmetric about Y, we know that E[|X|] = E[X] (due to symmetry).

To find E[Z], we can observe that: E[Z] = P(X > Y) = 0.5 (As the distribution is symmetric about Y, the probability of X being greater than Y is 0.5)

Now, let's find E[(|X| - E[X])(Z - 0.5)]: E[(|X| - E[X])(Z - 0.5)] = ∫∫(|x| - E[X])(z - 0.5)f(x,z) dx dz

However, since |X| and Z are not directly dependent on each other, their covariance will be 0. So, Cov(|X|, Z) = 0.

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Answer:

B

Step-by-step explanation:

(x-8)^2=(x-8)(x-8)=x^2-8x-8x+64=x^2-16x+64

Answer:

x2 − 16x + 64; is a polynomial

Answer:

w-(12*6)=2/3w

Step-by-step explanation:

w=216

Write the equation of the lines in slope-intercept form (y=mx+b)

First equation: It is already in slope-intercept form

Second equation: solve y:

Identify the slope of each line:

If two or more lines have the same slope then the lines are parallel

If two lines have slopes that are negative reciprocals then the lines are perpendicular

In this problem, we are dealing with a random variable related to people's opinions on a new building project. We are given four options for the correct wording of the random variable and need to determine the correct one. Additionally, we are asked to calculate probabilities associated with the number of people who favor the new building project, ranging from exactly 4 to at most 6.

a) The correct wording for the random variable is "rv = the number of people who are in favor of a new building project." This wording accurately represents the random variable as the count of individuals who support the project.

b) To calculate the probability that exactly 4 people favor the new building project, we need to use the binomial probability formula. Assuming the probability of a person favoring the project is p, we can calculate P(X = 4) = (number of ways to choose 4 out of 10) * (p^4) * ((1-p)^(10-4)). The value of p is not given in the problem, so this calculation requires additional information.

c) To find the probability that less than 4 people favor the new building project, we can calculate P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3). Again, the value of p is needed to perform the calculations.

d) The probability that more than 4 people favor the new building project can be calculated as P(X > 4) = 1 - P(X ≤ 4) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)).

e) The probability that exactly 6 people favor the new building project can be calculated as P(X = 6) using the binomial probability formula.

f) To find the probability that at least 6 people favor the new building project, we can calculate P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10).

g) Finally, to determine the probability that at most 6 people favor the new building project, we can calculate P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6).

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