A container shapes like an inverted cone holds 96 cubic centimeters of water. The height of the cup is 14 centimeters. Find the length of the diameter?

The function is linear because as the x-value increases, the y-values increases.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is represented by this mathematical expression;

y = mx + c

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (1 - 3)/(0 - 1)

Slope (m) = -2/-1

Slope (m) = 2

Based on the information provided above at point (0, 9), an equation that models the line is represented by this mathematical equation;

y = mx + c

y = 5x + 9

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AutoCloseable is the interface is specifically intended to be implemented by classes that can be used with the try-with-resources statement.

According to the statement

we have to find that the interface is specifically intended to be implemented by classes that can be used with the try-with-resources statement.

And for this purpose, we know that the

The try -with-resources statement is a try statement that declares one or more resources. A resource is an object that must be closed after the program is finished with it. The try -with-resources statement ensures that each resource is closed at the end of the statement.

And for this

AutoCloseable are some functional interfaces in Java. and it is a An object that may hold resources (such as file or socket handles) until it is closed.

So, AutoCloseable is the interface is specifically intended to be implemented by classes that can be used with the try-with-resources statement.

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In order to calculate the z-scores for the given Confidence Interval (CI) levels, we need to use the Z-table. It is also known as the standard normal distribution table. Here are the z-scores for the given Confidence Interval levels:1. 68% CI: The confidence interval corresponds to 1 standard deviation on each side of the mean.

Thus, the z-score for the 68% \(CI is ±1.00.2. 85% CI\): The confidence interval corresponds to 1.44 standard deviations on each side of the mean.

We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.85)/2)z = invNorm(0.925)z ≈ ±1.44\)Note that invNorm is the inverse normal cumulative distribution function (CDF) which tells us the z-score given a certain area under the curve.3. 99% CI: The confidence interval corresponds to 2.58 standard deviations on each side of the mean. We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.99)/2)z = invNorm(0.995)z ≈ ±2.58\)

Note that in general, to calculate the z-score for a CI level of (100 - α)% where α is the level of significance, we can use the following formula:\(z = invNorm((1 + α/100)/2)\) Hope this helps!

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the values of x and y that make the points (1,2,3), (5,7,1), and (x,y,2) collinear are x = 2 and y = 4.

Let's consider the direction ratios of the given points:

Point 1: (1, 2, 3)

Direction ratios: (1-0, 2-0, 3-0) = (1, 2, 3)

Point 2: (5, 7, 1)

Direction ratios: (5-1, 7-2, 1-3) = (4, 5, -2)

Point 3: (x, y, 2)

Direction ratios: (x-1, y-2, 2-1) = (x-1, y-2, 1)

Since the direction ratios should be proportional, we can set up the following proportion:

(1, 2, 3) / (4, 5, -2) = (x-1, y-2, 1) / (4, 5, -2)

This gives us the following ratios:

1/4 = (x-1)/4

2/5 = (y-2)/5

3/-2 = 1/-2

Simplifying these ratios, we get:

1 = x - 1

2 = y - 2

3 = 1

Solving these equations, we find:

x - 1 = 1

x = 2

y - 2 = 2

y = 4

Therefore, the values of x and y that make the points (1,2,3), (5,7,1), and (x,y,2) collinear are x = 2 and y = 4.

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The integral of f(x, y) = 9x over the region bounded by the curves y = x(2 - x) and x = y(2 - y) can be calculated using the quadratic formula.

To calculate the integral, we need to find the limits of integration for both x and y. The lower boundary curve x = y(2 - y) can be rewritten as y = 1 - sqrt(1 - x) using the quadratic formula. The upper boundary curve y = x(2 - x) remains as it is.

Integrating f(x, y) = 9x over the given region involves integrating with respect to both x and y. We can choose to integrate with respect to x first. The limits of integration for x are from the lower boundary curve to the upper boundary curve, which gives us the integral ∫[y=1-sqrt(1-x) to y=x(2-x)] 9x dx.

To evaluate this integral, we find the antiderivative of 9x with respect to x, which is (9/2)x^2. Then we substitute the limits of integration into the antiderivative and subtract the lower limit from the upper limit: [(9/2)(x^2)] [y=1-sqrt(1-x) to y=x(2-x)].

After simplifying the expression, we can calculate the integral by substituting the upper limit and subtracting the result from substituting the lower limit. The final answer will provide the value of the integral over the given region.

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Answer:

8

Step-by-step explanation:

\(x^2-2x \\x=4\\(4)^2-2(4)\\16-8\\8\)

Answer:

is it a right triangle?

Step-by-step explanation:

Answer:

1. Is it a right triangle?

2. Are you looking for the hypotenuse?

Step-by-step explanation:

Answer:

entonces tiene que ir 6 veces de visita para que le den la entrada gratis

Step-by-step explanation:

50+15=65

2.5×6=15

v=6

Answer:75.8

Step-by-step explanation:

if the hundredth place to the right of the desimel is more than or 5 then the number to the right of the 5 is going to increase its value by 1

Answer:

x = 51.3°

Step-by-step explanation:

Hope this helped!

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

y=-3/2x-7

Step-by-step explanation:

y-y1=m(x-x1)

y-2=-3/2(x-(-6))

y-2=-3/2(x+6)

y=-3/2x-18/2+2

y=-3/2x-9+2

y=-3/2x-7

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Answer:

A. 1485

B. 145

Answer: The answer is 8x - 5y = -7

Hope this helps! :)

Based on the amount of Nacho cheese corn chips and the calories per gram, the calories per party bag is 1,094.6 calories

First, convert ounces to grams:

= 1 ounce is 28.3495 grams

Party bag in grams:

= 15 x 28.3495

= 425.243 grams

The amount of calories is:

= 425.243 x 28.6% x 9

= 1,094.6 calories

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Answer:

\(= -2x^2 +4x+ 16\)

Step-by-step explanation:

From the given equation:

\((x+ 2 ) \ and \ (-2x +8)\)

As a single equation, we have:

\(= (x + 2) \ \times \ ( -2x + 8) \ = 0\)

open brackets

\(\implies -2x^2 +8x +(-4x) + 16\)

\(= -2x^2 +4x+ 16\)

Step-by-step explanation:

That means the 96 is  75% of your grade

   96 (.75) + 75 (.25) = 90.75  final grade

Answer:

x=36

Step-by-step explanation:

By vertical angles we know that

\(72 = 2x\\\\x=\frac{72}{2}\\\\x=36\)

Answer:

x = 36

Step-by-step explanation:

72 and 2x are vertical angles, so they are equal.

2x = 72

2x/2 = 72/2

x = 36

The interval for which f(x) = cos(x) is strictly increasing in the given domain of 2π ≤ x < 4π is (3π, 7π/2). The correct answer is c.

To determine where f(x) = cos(x) is strictly increasing, we need to examine the behavior of its derivative, f'(x). The derivative of f(x) = cos(x) is given by f'(x) = -sin(x). Since we are interested in intervals where f(x) is strictly increasing, we need f'(x) > 0.

In the given domain of 2π ≤ x < 4π, we can analyze the sign of f'(x) by considering the sign of -sin(x). Recall that sin(x) is positive in the first and second quadrants. Therefore, -sin(x) will be negative in the first and second quadrants.

Looking at the intervals provided, (3π, 7π/2) satisfies the condition. In this interval, x lies in the second quadrant, where -sin(x) is negative. As -sin(x) < 0, f'(x) < 0, which implies that f(x) = cos(x) is strictly increasing in the interval (3π, 7π/2).

Hence, the correct interval where f(x) = cos(x) is strictly increasing in the domain 2π ≤ x < 4π is (3π, 7π/2).

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Answer:

All but c :))

Step-by-step explanation:

"The school sold 8 adult tickets and 5 child tickets for a total of $104", we can express it as follows

"On the second day they sold 4 adult tickets and 6 child tickets for a total of $80", we can express it as follows

These two equations form a linear system of equations, which we can solve by multiply the second equation by -2

Then, we combine the equations

Now, we find x

According to this solution, each adult ticket costs $8 and each child ticket costs $8.

If they sold 10 adult tickets and 4 child tickets on the third day, then they made

If they sold 22 adult tickets and 8 child tickets on the last day, then they made

Answer:

is this math

Step-by-step explanation:

Answer:

3x!

Step-by-step explanation:

Since the sides are the same (marked with the lines on the side) the 2 angles are also the same! :D

Answer:

All the numbers that when rounded to the nearest 100 equal 16,000 are all the numbers in a range from 15,950-16,049.

Step-by-step explanation:

Try looking, how many words can she find in 1 minute, then try to calculate how you got that into 5! It's easy if you think about it!

good luck!

                                                                           -KitKat

Answer:

The nth term of an AP will be 27 -7n.

Step-by-step explanation:

First five terms of the Arthemetic Sequence is given to us , which is 26 , 19 , 12 , 5

Hence here Common Difference can be found by subtracting two consecutive terms . Here which is 19 - 26 = (-7) .

Here first term is 26 .

And the nth term of an AP is given by ,

★ T_n = a + ( n - 1) d

Substituting respective values ,

⇒ T_n = a + ( n - 1 )d

⇒ T_n = 26 + (n - 1)(-7)

⇒ T_n = 26 -7n+1

⇒ T_n = 27 - 7n

Answer:

132 degrees.

Step-by-step explanation:

Let the supplement be x and the angle be y.

x + y = 180 degrees.

y = (3x - 12) degrees.

x + 3x - 12 = 180

4x = 192

x = 48 degrees

y = 132 degrees

Hope this helped!

Answer:

plan a = 3

plan b = 0.6

Step-by-step explanation:

Answer:

2/3 i guess

Step-by-step explanation: