Need help finding the vertex for g(x)!!

Answer:

14+14 + 4pi= 28 + 4pi

\(\pi\)

Answer: \(x=\Large\boxed{\frac{m}{y-z} }\)

Step-by-step explanation:

Given expression

\(z=y-\dfrac{m}{x}\)

Subtract [ y ] on both sides

\(z-y=y-\dfrac{m}{x} -y\)

\(z-y=-\dfrac{m}{x}\)

Multiply [ -x ] on both sides

\((-x)(z-y)=(-x)(-\dfrac{m}{x} )\)

\((x)(-1)(z-y)=m\)

\((x)(y-z)=m\)

Divide [ y - z ] on both sides

\((x)(y-z)\div(y-z)=m\div(y-z)\)

\(x=\Large\boxed{\frac{m}{y-z} }\)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

"How many times does 81 divide into 547?"

Answer:

see below

Step-by-step explanation:

add ALL angles together =360 & solve for x

net net 38x + 18 =360

x = 9

C = 15x-1 =15*9 -1 =134

Answer

y = 3/2x -8

Step-by-step explanation:

The first thing you should do is change the equation into slope intercept form. Subtract 2x from both sides to get: 3y = -2x + 18. Divide all parts of the equation by 3 to get your equation in slope intercept: y = -2/3x + 6. One thing you should know when finding the slope of a perpendicular line is that it is the opposite reciprocal. So, the slope is going to be 3/2. This is your current equation: y = 3/2x + b. Plug in the point to the equation, it should look like this: 1 = 3/2(6) + b. Multiply 3/2 by 6 to get 9. This is what it should look like: 1 = 9 + b. Then, subtract 9 from both sides of the equation to get your y-intercept of -8. Go back to your other equation and plug in -8 for b. This is your final equation: y = 3/2x -8.

Answer:

Dry your hands from the soap and try twisting the lid of the pan. This will cause it to start to turn. If you put it in the freezer it will be harder to take it off. My guess is by twisting the lid, you would be able to cause enough friction to take the lid off.

Step-by-step explanation:

If this doesn't work try tilting the lid and then lifting it

Answer:

Try soaking it in hot water. The pot only if possible. The top is smaller and if the  pan expands it should loosen up

Answer:

D. 4

Step-by-step explanation:

The faster you go, the faster you get home (theoretically anyway) and vice versa. So if your speed is doubled, it'll take half the time to get home. But if your speed gets halved, it'll also take double the time to get home.

So, if at 60 mph it takes 1 hour to get home, then if your speed is divided by four to 15 mph, you need to multiply the time by the same number and thus the answer is 4.

The graphical representation that would be best to display the data is given as follows:

Histogram.

An histogram is a graph that shows the number of times each element of x was observed.

The four types of products are given as follows:

Each of these item would represent a bin, and the values of each bin are given as follows:

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The color that recorded the most is black.

The number of red cars is 150 cars.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

One circle = 40 cars

One circle can be divided into 4 parts.

Each part = 40 / 4 = 10.

Number of Red cars = 3 x 40 + 30 = 120 + 30 = 150

Number of Black cars = 5 x 40 = 200

Number of Silver cars = 2 x 40 + 20 = 80 + 20 = 100

Number of other cars = 3 x 40 + 10 = 120 + 10 = 130

Thus,

The color that recorded the most is black.

The number of red cars is 150 cars.

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The probability that a standard normal random variable z is between -2.4 and 0.4 is approximately 0.6472.

To find the probability that a standard normal random variable z is between -2.4 and 0.4, we can follow these steps:

Step 1: Look up the cumulative probability corresponding to -2.4 in the standard normal distribution table. The cumulative probability at -2.4 is approximately 0.0082.

Step 2: Look up the cumulative probability corresponding to 0.4 in the standard normal distribution table. The cumulative probability at 0.4 is approximately 0.6554.

Step 3: Subtract the cumulative probability at -2.4 from the cumulative probability at 0.4 to find the probability between the two values:

P(-2.4 < z < 0.4) = 0.6554 - 0.0082

= 0.6472.

Therefore, The probability that z is between -2.4 and 0.4, when z is a standard normal random variable, is approximately 0.6472. This means that there is a 64.72% chance that a randomly selected value from a standard normal distribution falls within the range of -2.4 to 0.4.

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The statement "dispersion models are selected based on the phase of the material being modeled in a release scenario" is true as Different dispersion models are needed for different phases (gas, liquid, solid) due to differences in behavior and transport mechanisms.

Dispersion models are used to predict the spread of pollutants, and they depend on the physical and chemical properties of the material being released.

Generally, different models are used for each phase of the material, such as the Gaussian plume model for gases, the plume rise model for heated gases, and the particle dispersion model for particles.

Each of these models is based on different characteristics and equations which allow for the most accurate prediction of the dispersion of pollutants.

For example, the Gaussian plume model considers the wind velocity, turbulence, and buoyancy of the released material, whereas the plume rise model considers the momentum, thermal expansion, and buoyancy of the released material.

Therefore, dispersion models are selected based on the phase of the material being modeled in a release scenario.

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The reflection of the figure across the x axis is A( 7, - 67 ), S( - 3, - 47 ) and D( - 12, 32 ).

Point (x, y) is reflected across the x-axis as (x, - y). The y-coordinate stays the same when a point is reflected across the y-axis, but the x-coordinate is assumed to be the additive inverse. Point (x, y) is reflected across the y-axis as (-x, y).

Consider the vertices of the figure,

A( - 7, - 67 ), S( 3, - 47 ), and D( 12, 32 )

The reflection of point A across the x-axis is:

A( 7, - 67 )

The reflection of point S across the x-axis is:

S( - 3, - 47 ) and;

The reflection of point D across the x-axis is:

D( - 12, 32 )

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Answer:

I think its A

Step-by-step explanation:

I just took this test

We need to roll the dice at least 260 times to have a probability greater than 20% of getting two or more double 4s.

To solve this problem, we can use the concept of the geometric distribution, which models the number of trials needed to get a success in a sequence of independent Bernoulli trials, where each trial has the same probability of success.

In this case, the success is rolling two or more double 4s, and the probability of success in each trial is:

P(success) = P(rolling double 4s) + P(rolling triple 4s) + P(rolling quadruple 4s)

= (1/6) × (1/6) + (1/6) × (1/6) × (1/6) + (1/6) × (1/6) × (1/6) × (1/6)

= 1/216 + 1/1296 + 1/7776

= 0.004630

Therefore, the probability of failure in each trial is:

P(failure) = 1 - P(success) = 0.995370

Let X be the number of trials needed to get two or more double 4s. Then X follows a geometric distribution with parameter p = 0.004630.

The probability of getting two or more double 4s in the first X trials is:

P(X ≥ 2) = 1 - P(X = 1) = 1 - p

The probability of getting two or more double 4s in the first 2X trials is:

P(X ≥ 2) + P(X ≥ 3) = (1 - p) + (1 - p) × p

The probability of getting two or more double 4s in the first 3X trials is:

P(X ≥ 2) + P(X ≥ 3) + P(X ≥ 4) = (1 - p) + (1 - p) × p + (1 - p) × p²

And so on...

We want to find the smallest value of X such that P(X ≥ 2) + P(X ≥ 3) + P(X ≥ 4) + ... exceeds 0.2.

That is:

(1 - p) + (1 - p) × p + (1 - p) × p² + ... > 0.2

Using the formula for the sum of an infinite geometric series, we can simplify this expression to:

1 / (1 - (1 - p)) - 1 > 0.2

1 / p - 1 > 0.2

1 / p > 1.2

X > 1 / p × 1.2

Plugging in the value of p, we get:

X > 1 / 0.004630 × 1.2

X > 259.7

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Answer:

114.3688

Step-by-step explanation:

circumference=2πr

2×3.142×18.2=114.3688

Answer:

No solution

Step-by-step explanation:

As 6x on lhs and 2×3x on the rhs are equal and cancel each other

74.75

first 35 percent of 115 is 40.25

115 - 40.35 equals 74.75 in

Answer:

4(5)^2-5= 95

Hope this helps! :)

given that 3(x+8)=12

on multiplying 3 into(x+8) we get

3x+24=21

3x=21-24

x=-3/3

x=-1

According to the provided equation

     3x + 24 = 21

        3x = 21 - 24

             3x = -3                      

             x = -3/3

               x = -1

Using the t-distribution, as we have the standard deviation for the sample, it is found that the p-value is of 0.0009.

At the null hypothesis, it is tested if the students study 20 hours, that is:

\(H_0: \mu = 20\).

At the alternative hypothesis, it is tested if they study less than 20 hours, that is:

\(H_1: \mu < 20\).

The test statistic is given by:

\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)

The parameters are:

In this problem, the values of the parameters are given as:

\(\overline{x} = 17.7, \mu = 20, s = 3.9, n = 33\).

Hence, the value of the test statistic is:

\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)

\(t = \frac{17.7 - 20}{\frac{3.9}{\sqrt{33}}}\)

\(t = -3.39\)

Using a t-distribution calculator, considering a left-tailed test, as we are testing if the mean is less than value, the p-value is of 0.0009.

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Answer:

30 ft^2

Step-by-step explanation:

Break the figure into smaller pieces:

5*2=10

10*2=20

Add the areas

20+10=30

The are of the figure is 30 ft^2

Answer:

<ABC = 51°

Step-by-step explanation:

Given

<A = 2x -15°

<B = x - 5°

< C = 148°

Now

<A + <B = < C ( Exterior angle of a triangle is equal to the sum of two opposite interior angles)

2x -15° + x - 5° = 148°

3x - 20° = 148°

3x = 148° +20°

3x = 168°

x = 168° / 3

X = 56°

Now for Angle B

= 56° - 5°

= 51°

Hope it helps :)

Answer:

2955

Step-by-step explanation:

The ratio of yes votes to no votes is 3:2.

The total ratio is:

3 + 2 = 5

Let the total number of votes be x.

The number of yes votes was 1773. This means that:

3/5 * x = 1773

3x = 1773 * 5

x = (1773 * 5) / 3

x = 2955 votes.

There were 2955 votes in total.

The maximum likelihood estimator (MLE) of θ in the Exponential distribution in the mean parametrization is consistent.

To show that the MLE of θ is consistent, we need to demonstrate that the estimator converges to the true parameter value as the sample size increases.

In the Exponential distribution, the likelihood function is given by L(θ) = ∏(1/θ)\(e^(-x_i/θ)\), where x_i represents the observed data points.

To find the MLE of θ, we maximize the likelihood function by taking the derivative with respect to θ and setting it equal to zero. Solving this equation will yield the MLE of θ.

However, in the case of the Exponential distribution, the MLE of θ can be directly obtained as the reciprocal of the sample mean, denoted as θ_hat = 1 / (1/n) * ∑(x_i).

To show consistency, we need to demonstrate that as the sample size (n) increases, the MLE θ_hat converges to the true parameter value θ.

Using the Law of Large Numbers, we know that as the sample size increases, the sample mean converges to the true population mean. In this case, as θ represents the population mean, θ_hat = 1 / (1/n) * ∑(x_i) will converge to θ.

Therefore, the MLE of θ in the Exponential distribution in the mean parametrization is consistent.

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Answer:

$20.64

Step-by-step explanation:

When you take 40% of 33, you are left with 19.8. You then translate the sales tax into 84 cents and add it to 19.8. That will give you $20.64 as the after tax price.

Mid point of any two points (x1,y1) and (x2,y2)

is ((x1+x2)/2,(y1+y2)/2)

using this

we get coordinates of d are (a,-2b)

The equation for the velocity of the object if v =dy/dt is :

y = dy/dt = 2e-t( - sin3t + 3 cos3t)

Given data :

y = 2e^-t sin3t your mean is y = 2e-t * sin3t

If yes, you know the product rule is (u.v)' = u' v + uv'

in this case u = 2e-t and   v= sin3t

now u' = -2 e-t  and v' = 3 cos3t

y = dy/dt = -2 e-t * sin3t + 2e-t *3 cos3t

It is better you simplify! by factoring of 2e-t

y = dy/dt = 2e-t( - sin3t + 3 cos3t)

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There are 6 family members over 3 years old.

Let's assume that the number of family members over 3 years old is "x".

The cost of admission for each family member over 3 years old is $3.25. Since the twins are 6 months old, they are not counted in the total cost of admission. Therefore, the total cost of admission for the family, including the twins, is $19.50.

The equation representing the total cost of admission can be set up as:

3.25x = 19.50

To find the value of "x," we can divide both sides of the equation by 3.25:

x = 19.50 / 3.25

x = 6

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Answer:

5.

Step-by-Step explanation:

Distance = √ [(6-3)^2 + (8-4)^2) ]

= √(9 + 16)

= √25

= 5.