3. Given vertex: (4,0), going through the point (3, 1), write the vertex form equation.

The absolute value function f(x) = |x – 2| takes a non-negative value for all real numbers x, and it returns 0 only when x = 2.

The graph of f(x) is symmetric about the vertical line x = 2 and has a vertical asymptote at x = 2.

We have,

The absolute value function f(x) = |x – 2| is a piecewise function that returns the positive distance between the input value x and the number 2.

Geometrically,

It represents the distance of a point on the number line from point 2.

On the coordinate plane,

The graph of the absolute value function is V-shaped, with its vertex at the point (2, 0).

The two arms of the V extend indefinitely in opposite directions, passing through the points (-∞, 2) and (2, +∞) on the positive and negative sides of the x-axis, respectively.

Thus,

The absolute value function f(x) = |x – 2| takes a non-negative value for all real numbers x, and it returns 0 only when x = 2.

The graph of f(x) is symmetric about the vertical line x = 2 and has a vertical asymptote at x = 2.

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The perimeter of the rectangle is got increased by a factor of 2. The correct option is A.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In rectangle opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at mid-point.

Given

A rectangle has a width of 12.5 m and a length of 105 m.

We know the perimeter of the rectangle is given by

Perimeter = 2 (Lenght + Width)

Let x be the length and y be the width. Then

Perimeter = 2 (x + y)

If the dimensions are multiplied by 2. Then the effect on the perimeter will be

Perimeter = 2 (2x + 2y)

Perimeter = 2 [2 (x + y)]

The perimeter is increased by a factor of 2.

Thus, option A is correct.

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The particular antidervative of the given derivative that satisfies the condition y(1) = 5 is y = -x⁻² + 6ln(x) - x + 6.

To find the antidervative, we need to integrate each term of the derivative separately. Integrating 2x⁻³ gives us -x⁻², integrating 6x⁻¹ gives us 6ln(x), and integrating -1 gives us -x. Adding these three integrals together gives us the antidervative y = -x⁻² + 6ln(x) - x + C, where C is the constant of integration.

To find the value of C, we can use the given condition y(1) = 5. Plugging in x=1 and y=5, we get 5 = -1 + 6(0) - 1 + C, which simplifies to C = 6. Therefore, the particular antidervative that satisfies the given condition is y = -x⁻² + 6ln(x) - x + 6.

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Answer: A

Step-by-step explanation:

See attached image.

Answer:

8b

Step-by-step explanation:

You can factor the b-term out since b-term exists for all terms in the expression. By factoring out, you are basically dividing the factored term off and put it outside of the bracket, thus:

\(\displaystyle{16b-8b=\left(16-8\right)b}\)

Then evaluate and simplify:

\(\displaystyle{\left(16-8\right)b=8\cdot b}\\\\\displaystyle{=8b}\)

Answer:

See below

Step-by-step explanation:

Domain is the values of 'x' a graphed function can have

  this one goes from -1   to + ∞

   or   [  -1, +∞ )       ( I suppose the first choice is the closest)

Answer:

Step-by-step explanation:

I am sorry but please give detailed question

Answer:

okay so 400%

Step-by-step explanation: Here's why so basically 80 divided by 4 is 20 and 20 rounded to the nearest tenth is 4 so 4 turned into a percentage is 400%. Sorry if I am incorrect.

Answer:

The correct answer is 3/4 meters.

Step-by-step explanation:

-We know that the area is 3/8 square meters

-And that the length is 1/2 meters

We need to find out what the width is.. But how?

Remember that, length x width is the key to finding the Area.
L x W = A

If we divide the Area by Length, we can find the missing width to this equation.

3/8 divided by 1/2
= 3/4

a. The slope and intercept of the least-squares line are -0.752 and 88.761, respectively.

b. The linear model may be useful for predicting ozone levels from relative humidity, but only to a limited extent. The R-squared value of 0.22 indicates that only 22% of the variation in ozone levels can be explained by relative humidity.

Additionally, the 95% prediction interval for a new observation (20.86, 66.37) is relatively wide, which suggests that the model may not be very precise in its predictions.

c. To predict the ozone level for a day when the relative humidity is 50%, we plug in x = 50 into the regression equation: Ozone = 88.8 - 0.752(50) = 53.8 ppb.

d. The correlation between relative humidity and ozone level can be found by taking the square root of the R-squared value, which gives us a correlation coefficient of 0.47.

This indicates a moderate positive correlation between relative humidity and ozone levels.

e. To find a 90% confidence interval for the mean ozone level for days where the relative humidity is 60%, we use the formula:

Mean ozone level ± (t-value)*(SE Fit)/sqrt(n), where the t-value is obtained from a t-distribution with n-2 degrees of freedom and a 90% confidence level.

For n = 120 and a 90% confidence level, the t-value is approximately 1.66. Plugging in the values, we get: 43.62 ± 1.66*(1.2)/sqrt(120), which simplifies to (42.39, 44.85).

f. To determine if a predicted ozone level of 80 ppb is reasonable when the relative humidity is 60%, we can calculate the 95% prediction interval for a new observation with x = 60: 43.62 ± 2.064*(11.43) = (21.18, 66.06).

Since the predicted value of 80 ppb falls outside of this range, it is not a reasonable prediction.

A more reasonable range of predicted values would be the 95% prediction interval, which gives us a range of (21.18, 66.06).

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Answer: 17

Step-by-step explanation: (4)(4)+1=16+1=17

Answer:

The answer is 17

Step-by-step explanation:

Answer:

The pizza restaurant put 1/10 of the sauce on each pizza.

Step-by-step explanation:

Take the 3/5, and on a calculator divide the 3 by the 5:

0.6

Then, take the 0.6 and divide it by the 6 pizzas:

0.1, converted into a fraction equals 1/10.

The pizza restaurant put 1/10 of the sauce on each pizza.

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The probability the circuit will last more than 4,750 hours is 0.221. The probability the circuit will last between 4,000 and 4,500 hours is 0.081. The probability the circuit will fail within the first 3,750 hours is 0.393.

Given, The useful life of an electrical component is exponentially distributed with a mean of 4,000 hours.

The exponential distribution is given by,

P(x) = λe^{-λx}

Where,λ is the rate parameter which is equal to the reciprocal of the mean;

λ = 1/4000

P(x > 4750) = 1 - P(x ≤ 4750)P(x > 4750) = 1 - F(4750)

From the probability distribution table,

F(4750) = 0.779P(x > 4750) = 1 - 0.779 = 0.221

P(4000 < x < 4500) = F(4500) - F(4000)

From the probability distribution table,

F(4500) = 0.713 and F(4000) = 0.632P(4000 < x < 4500) = 0.713 - 0.632 = 0.081

P(x < 3750) = F(3750)

From the probability distribution table,

F(3750) = 0.393P(x < 3750) = 0.393

Therefore, the probability the circuit will last more than 4,750 hours is 0.221. The probability the circuit will last between 4,000 and 4,500 hours is 0.081. The probability the circuit will fail within the first 3,750 hours is 0.393.

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Answer: you would put a dot a the point (0,0) and than at the point (1,2) and than at (2,4) than draw a line though it

Respuesta:

a = 82; b 164

Explicación paso a paso:

a = 1 / 2b - - - (1)

a gana 66 = a + 66

b = b - 90

a = 2b

a + 66 = 2 (segundo - 90) - - - (2)

Ponga a = 1 / 2b en (2)

1 / 2b + 66 = 2 (b-90)

0.5b + 66 = 2b - 180

0.5b - 2b = - 180 - 66

-1,5b = - 246

b = 164

a = 1 / 2b

a = 1/2 * 164

a = 82

Answer:

496

Step-by-step explanation:

992/2 =496

Answer:

\(a = 4 \\ b = 2 \sqrt{2} \)

Its a right angle triangle so trigonometry is used.

a is the hypotenuse, b is the adjacent.

Use sin to find a. Use tan to find b.

Answer:

monster masume

Step-by-step explanation:

The horizontal change from triangle ABC to triangle ABC include the following: A. right 5 units.

The vertical change from triangle ABC to triangle ABC include the following: C. down 2 units.

The translation rule in the standard format is: (x, y) → (x + 5, y - 2).

In Mathematics, the translation of a graph to the left is a type of transformation that simply means subtracting a digit from the value on the x-coordinate of the pre-image while the translation of a graph to the right is a type of transformation that simply means adding a digit to the value on the x-coordinate of the pre-image.

By translating the pre-image of triangle ABC horizontally right by 5 units and vertically down 2 units, the coordinate A of triangle ABC include the following:

(x, y)                               →                  (x + 5, y - 2)

A (3, 5)                        →                  (3 + 2, 5 - 2) = A' (5, 3).

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

It is not random I think

Sorr I try to but ya

The type of error that occurs when the study population produces a statistically significant test result, even though there is in fact no significant difference or association in the source population, is called a "Type I error".

A "Type I error" occurs when the null hypothesis (showing that there is no difference between the two populations under study) is rejected, even though it is in fact true. Type I errors, also called false positives, are caused by the erroneous rejection of the null hypothesis. This can happen when the sample size is too small, the sample size is too large, the sample distribution is not normal, or the alpha level is too low. In all these cases, statistical tests yield significant results even when there are no significant differences or associations in the population.

The first type of error is when the testing procedure wrongly rejects the null hypothesis. This type of error is called a Type I error (false positive) and is sometimes referred to as a Type I error. In the case of a courtroom, a Type I error is the conviction of an innocent defendant.

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Answer:

You get dough

Step-by-step explanation:

When mixing those two ingredients you can get dough when mixing perfectly

The value of the integral is,

⇒ (81/2) π - (1/10) π* (18 √(3) - 22).

We have a triple integral in cylindrical coordinates, with the limits of integration:

0 ≤ θ ≤ 2π (since θ is not present in the integrand)

0 ≤ x ≤ 3 0 ≤ z ≤ √(9 - x²)

0 ≤ y ≤ √(9 - x² - z²)

Converting the integrand to cylindrical coordinates, we have:

\(1(x^{2} + y^{2} + z^{2} )^{1/2} = r\)

So the integral becomes:

∫(0 to 2π) ∫(0 to 3) ∫(0 to √(9 - x²)) ∫(0 to √(9 - x² - z²)) r dy dz dx

We can evaluate the innermost integral with respect to y:

∫(0 to √(9 - x² - z²)) r dy = r √(9 - x² - z²)

Then we can integrate with respect to z:

∫(0 to √(9 - x²)) r √(9 - x² - z²) dz = (1/2) πr (9 - x²)

Finally, we can integrate with respect to x:

∫(0 to 3) (1/2) πr (9 - x²) dx = (27/2) π∫(0 to 3) r dx - (1/2) π∫(0 to 3) r * x²dx

The first integral is simply the volume of a cylinder of height 3 and radius 3, which is (27/2) π3² = (81/2)π.

For the second integral, we can convert back to Cartesian coordinates and use the substitution u = 9 - x² - z²:

∫(0 to 3) r x² dx = ∫(0 to 9) √(u) (9 - u) du = (2/5) \(u^{5/2}\) - (1/3) \(u^{3/2}\)] 0 to 9

= \(\frac{2}{5} 9^{5/2} - \frac{1}{3} 9^{3/2}\)

Substituting this result back into the original integral, we have:

(27/2) π3 - (1/2) pi [ \(\frac{2}{5} 9^{5/2} - \frac{1}{3} 9^{3/2}\)] = (81/2) pi - (1/10) π(18 √(3) - 22)

So, the value of the integral is,

⇒ (81/2) π - (1/10) π* (18 √(3) - 22).

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The value of the house after 1 year is $750,000. To solve the problem by putting  P = 750,000 in the equation.

What is a variable?

The alphabetic character that expresses a numerical value or a number is known as a variable in mathematics. A variable is used to represent an unknown quantity in algebraic equations.

Any alphabet from a to z can be used for these variables. Most frequently, the variables "a," "b," "c," "x," "y," and "z" are utilised in equations.

Given that, the value of house can be represents by

P = 25000t + 500000

Where t represents the age of the house in years.

Assume that after t years, the value of the house is $750,000.

Putting P = $750,000 in the given equation:

750,000 = 25000t + 500000

Subtract 50,000 from both sides:

25000 =25000t

Divide both sides by 25000:

t = 1

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The maximum and the minimum weight for the bags of sand are 36 and 35 pounds respectively

Here, we have

Weight = 35 pounds

Labeled weight = within 8 ounces

Convert ounce to pounds

So, we have:

Labeled weight = within 0.5 pound

The equation is then represented as

|x - 35| = 0.5

Where x represents the labeled weight

In (a), we have

|x - 35| = 0.5

Expand

x - 35 = 0.5 and x - 35 = -0.5

Add 35 to both sides

x = 36 and x = 35

Hence, the maximum and the minimum weight for the bags of sand are 36 and 35 pounds respectively

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The solution to the problem bothering on sin, cosine and tangent are:

sin(330) = -1/2.

tan(540) = -0/(-1) = 0.

cos(-270) = 0.

(a) To find sin(330), we first need to locate the angle 330 degrees on the unit circle. Starting from the positive x-axis, we rotate clockwise by 330 degrees, which brings us around the circle past the negative x-axis and lands us in the fourth quadrant.

To find the sine value at this angle, we look at the y-coordinate of the point where the angle intersects the unit circle. Since we are in the fourth quadrant, the y-coordinate is negative. The point on the unit circle that intersects with the angle 330 degrees is (-√3/2, -1/2).

Therefore, sin(330) = -1/2.

(b) To find tan(540), we locate the angle 540 degrees on the unit circle. Starting from the positive x-axis, we rotate clockwise by 540 degrees, which brings us around the circle two full rotations plus another 180 degrees. This means that we end up at the same point as we would have for an angle of 180 degrees.

To find the tangent value at this angle, we look at the y-coordinate divided by the x-coordinate of the point where the angle intersects the unit circle. Since we are in the third quadrant, both the x-coordinate and the y-coordinate are negative. The point on the unit circle that intersects with the angle 540 degrees (which is the same as 180 degrees) is (-1, 0).

Therefore, tan(540) = -0/(-1) = 0.

(c) To find cos(-270), we locate the angle -270 degrees on the unit circle. Starting from the positive x-axis, we rotate counterclockwise by 270 degrees, which brings us around the circle past the negative y-axis and lands us in the second quadrant.

To find the cosine value at this angle, we look at the x-coordinate of the point where the angle intersects the unit circle. Since we are in the second quadrant, the x-coordinate is negative. The point on the unit circle that intersects with the angle -270 degrees is (0, -1).

Therefore, cos(-270) = 0.

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According to the question we have  the correct answer is option 2, with a volume of 1664 cubic units.

The volume of the solid lying under the circular paraboloid z = x^2 + y^2 and above the rectangle R = (-4, 4] x [-6, 6] can be found using a double integral. First, set up the integral with respect to x and y over the given rectangular region:

Volume = ∬(x^2 + y^2) dA

To evaluate this integral, we will use the limits of integration for x from -4 to 4, and for y from -6 to 6:

Volume = ∫(from -4 to 4) ∫(from -6 to 6) (x^2 + y^2) dy dx

Now, integrate with respect to y:

Volume = ∫(from -4 to 4) [(y^3)/3 + y*(x^2)](from -6 to 6) dx

Evaluate the integral at the limits of integration for y:

Volume = ∫(from -4 to 4) [72 + 12x^2] dx

Next, integrate with respect to x:

Volume = [(4x^3)/3 + 4x*(72)](from -4 to 4)

Evaluate the integral at the limits of integration for x:

Volume = 1664

Therefore, the correct answer is option 2, with a volume of 1664 cubic units.

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