gravel is being dumped from a conveyor belt at a rate of 30 . it forms a pile in the shape of a right circular cone whose base diameter and height are always the same. how fast is the height of the pile increasing when the pile is 11 ft high? the height is increasing at ft/min.

Answer:

x = 54

Step-by-step explanation:

In this line, I am going to assume lines l and m are parallel.

Each flat surface is half of a circle, therefore it has 180 degrees. We are given one side and told to find the other.

180 - 116 = 64.

The other angle's total value must be 64.

Now, to solve for x, subtract 10 from 64 [inverse operations].

64-10=54

The value of x in this equation is 54 degrees.

Answer:

y=-2/3x-6

Step-by-step explanation:

The removable discontinuity of the function is x-2/(x-2)(x+4).

Given, we have the following functions:

a. x-2/(x-2)(x+4)

separate the terms:

= x-2/x-2 × 1/x+4

cancel the like terms:

= 1 × 1/x+4

hence x-2/(x-2)(x+4) has a removable discontinuity.

A point on the graph that is undefinable or does not fit the remainder of the graph is referred to as a removable discontinuity. A detachable discontinuity can be generated in one of two ways. The function can be defined to have a blip, or it can have a common factor in both the numerator and the denominator.

When the two-sided limit at c exists but isn't equal to f(c), the discontinuity at c is referred to as detachable.

Hence the from the given functions the function which have a removable discontinuity is x-2/(x-2)(x+4)

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The value of x, considering the similar triangles, is given as follows:

x = 6.

Similar triangles are triangles that share these two features given as follows:

There are two similar right triangles in this problem, with equivalent sides given as follows:

Then the proportional relationship for the side lengths is given as follows:

(5x - 3)/[39 - (5x - 3)] = 36/16

Then, simplifying the denominator on the left side, we have that:

(5x - 3)/(42 - 5x) = 36/16

Applying cross multiplication, an equation is built to solve for x as follows:

36(42 - 5x) = 16(5x - 3)

1512 - 180x = 80x - 48

260x = 1560

x = 1560/260

x = 6.

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the answer to 130x1000 is

130,000

Step-by-step explanation:

If cos 2A = tan-B, then show that cos 2B = tan-A.

In ABC, prove that

cos A = 1/2 (See proof below)

\(cos(2A) = 2cos^{2} A-1\)

Substitute  cos 2A = -1/2 into the relationship above:

\(\frac{-1}{2} = 2cos^{2} A - 1\\\frac{-1}{2} + 1 = 2cos^{2} A\\\frac{1}{2} = 2cos^{2} A\)

Divide both sides by 2:

\(\frac{1}{4} = cos^{2} A\)

Square root both sides:

\(cosA = \sqrt{\frac{1}{4} } \\cosA = \frac{1}{2}\)

Proved

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Answer:

a

Step-by-step explanation:

Answer:

(800 x 9) + (10 x 9)

Step-by-step explanation:

Find out what 810 x 9 is:

810 x 9 = 7290

Then see which expression has the same answer. Personally I'd check all of them, but luckily the first expression is the correct one so you don't need to go through the rest (since it only asks for one correct expression):

(800 x 9) = 7200

(10 x 9) = 90

7200 + 90 = 7290

4x - 5y = -9

-4x + y = -7

Step 1

Eliminate variable x

Different sign eliminate x and add.

-5y + y = -9 + (-7)

- 4y = -9 - 7

- 4y = -16

y = -16/-4

y = 4

Step 2

Substitute y in any equation and find x.

-4x + y = -7

-4x + 4 = -7

-4x = -7 - 4

-4x = -11

x = -11/-4

x = 11/4

X = 11/4 Y = 4

The values of the functions are h(0) = 1, h(10) = 3, h(-3) = 7 and h(3) = 4

The piecewise function is given as:

h(x) = {7, when x<0

         {x+1, when 0 ≤x ≤4

          {√x-1, when x>4

Next, we solve the function values

1. Function h(0)

This means that x = 0

To do this, we make use of h(x) = x + 1 because x= 0 is in its domain

So, we have

h(0) = 0 + 1

h(0) = 1

2. Function h(10)

This means that x = 10

To do this, we make use of h(x) = √x - 1 because x= 10 is in its domain

So, we have

h(10) = √10 - 1

h(10) = √9

h(10) = 3

3. Function h(-3)

This means that x = -3

To do this, we make use of h(x) = 7 because x= -3 is in its domain

So, we have

h(-3) = 7

4. Function h(3)

This means that x = 3

To do this, we make use of h(x) = x + 1 because x= 3 is in its domain

So, we have

h(3) = 3 + 1

h(3) = 4

Hence, the values of the functions are h(0) = 1, h(10) = 3, h(-3) = 7 and h(3) = 4

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Answer:

  A, B, E are irrational

Step-by-step explanation:

You want to know which expressions result in an irrational number from the given expressions involving rational and irrational numbers.

  M + N = √2 +√5 . . . . irrational

  MN = (√2)(√5) = 10 . . . . irrational

  S + T = 2 + 5 = 7 . . . . rational

  ST = 2·5 = 10 . . . . rational

  N + T = √5 + 5 . . . . irrational

  N² = (√5)(√5) = 5 . . . . rational

__

Additional comment

When in doubt, you can use your calculator to evaluate these expressions. If the decimal fraction uses all available digits, the number is likely irrational.

If the number cannot be expressed exactly without using symbols (√, ∛, π, e), then it is irrational. The attached calculator display shows this nicely.

Answer: x= 6

Step-by-step explanation:

Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.  

You can see they do not look the same so they add up to equal 180

12x + 3 +105 = 180

12x + 108 = 180

12x = 72

x = 6

Answer:

Below.

Step-by-step explanation:

I am guessing you want the area of the parallelogram.

Take the longer side to be the base.

Area = base * distance between base and opposite side

=  26 * 12.5

= 325 cm^2.

Answer: 1:2

Step-by-step explanation:

We shall just put the figures in ratio to compare and make the perfect ratio

Viki : Danwen

60 : 120

In perfect ratio form, we need the ratios to be keep dividing with same number to bring them down to lowest possible whole number

Here, we'll divide both by 10, and get this:

6 : 12

We can still divide both with 6 and get:

1:2

We can divide it further so it's our answer.

Which shows Danwen drove double than Viki.

Answer:

y=x+3

Step-by-step explanation:

Answer:

6.50

Step-by-step explanation:

adding the numbers 4 plus 2.50

Given:

The expression is:

\(8x^4-2x\)

To find:

The coefficient and the exponent for each term of the given expression.

Solution:

Coefficients: In the product of s number and a variable, the number is coefficient of the variable.

Exponent: The number in the power is called exponent.

We have,

\(8x^4-2x\)

Here, the terms are \(8x^4,-2x\).

For the term \(8x^4\), the coefficient is 8 and the exponent is 4.

For the term \(-2x\), the coefficient is -2 and the exponent is 1.

Therefore, the coefficients are 8 and -2, and the exponent are 4 and 1.

Answer:

what i know for sure is 10/19 is rational

Answer:

=> All of the options are correct.

Step-by-step explanation:

a rational number is a number that can be shown as the quotient of two integers a and b(the denominator b must not be equal to zero).

10/19 => a = 10, b = 19 (correct)

85/74 => a = 85, b = 74 (correct)

-48 => a = -48, b = 1 (correct)

-57 =>a = -57, b = 1 (correct)

=> All of the options are correct.

Hope this helps!

The components of the vector with initial point (7,−6) and a terminal point at (6,−3) are:

The components of a vector are the vectors that makes up the resultant as described in the problem to have starting point (7,−6) and terminal point (6,−3).

This can be gotten by plotting these points and getting the coordinates of the points that makes the initial point and the terminal point the hypotenuse of the triangle

From the graph, the coordinates are:

component 1: (6, -6) to (3, -6)

component 2: (7, -6) to (6, -6)

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In order for Maria and Liam to make the same amount of money for the week, there must be $6250 in food sales.

A percentage is a measurement or ratio that is expressed as a percentage of 100. Most often, it is denoted by the % sign.

The number of food sales, given the data Maria's commission is 20%, or 20 out of 100, so that's 20 percent.

20/100 = 0.2

10% of the commission Liam receives = 0.1

= 10 / 100

Liam's weekly wage exists $625.

As a result of Maria and Liam earning the same amount per week, their weekly food sales will be equal.

Consequently, to get the quantity of food sales, divide Maria's income by Liam's income by 0.2 and add 0.1.

0.1 A = 625

Multiplying by 10 on both sides , we get

A = 6250 $

Therefore, the amount of food sales which results in Maria and Liam earning the same amount for the week is $ 6250

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Answer:

w=-15/7

w=-2.142857

w=-2 1/7

Hope this helps

Answer: W= - 15/7

Step-by-step explanation:

The overall reliability of the system through time t is approximately 0.370.

You have a system with four components and their reliabilities through time t are given as follows:

1. Component 1: 0.80
2. Component 2: 0.66
3. Component 3: 0.78
4. Component 4: 0.89

To find the overall reliability of the system, you'll need to multiply the reliabilities of each individual component:

Overall Reliability = Component 1 Reliability × Component 2 Reliability × Component 3 Reliability × Component 4 Reliability

Step-by-step calculation:

Overall Reliability = 0.80 × 0.66 × 0.78 × 0.89

Now, multiply the given reliabilities:

Overall Reliability ≈ 0.370

So, the overall reliability of the system through time t is approximately 0.370.

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To compute the variance of a geometric distribution with parameter p, we first need to understand the geometric distribution itself.

The geometric distribution represents the number of trials required for the first success in a sequence of Bernoulli trials, where each trial has a success probability of p.

The variance of a geometric distribution with parameter p can be calculated using the formula:

Variance = (1 - p) / p^2

Please note that the Taylor expansion "=1+r+ ir -1" you mentioned does not seem to be relevant to the calculation of the variance of a geometric distribution. The correct formula for the variance is provided above.

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The correct response is d) All the above. The arithmetic mean is equal to the median, the median is equal to the mode, and the mode is equal to the arithmetic mean.

If the data are graphed symmetrically, the distribution demonstrates 0% skewness regardless of how long or fat the tails are. When the median of a data set is utilized, 50% of the data points in the collection have values lower than or equal to the median, and 50% of them have values greater than or equal to the median. The middle score in the set is known as the median. The first step in calculating the median is to order the data points from smallest to greatest. The median in an odd-numbered set will be the value that falls exactly in the middle of the list. You must determine the average of the two middle numbers in a set of even numbers. The average is determined by summing up each value individually and dividing that sum by the total number of observations.

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An equilibrium solution of a differential equation refers to a solution where the derivative of the dependent variable with respect to the independent variable is always zero.

Thus, the correct options are:

- A solution y where y' (t) is always zero.

- A constant solution.

A constant solution is one in which the dependent variable remains constant with respect to the independent variable. In this case, the derivative of the dependent variable is zero, indicating no change over time. Therefore, a constant solution satisfies the condition of having y' (t) always equal to zero.

Additionally, if y' (t) is always zero, it means that the derivative of the dependent variable with respect to the independent variable is constant. This is because the derivative represents the rate of change, and if the rate of change is always zero, it implies a constant value. Therefore, a solution where y' (t) is constant also qualifies as an equilibrium solution.

Regarding the other statements:

- A solution y(t) that has a limit as t goes to infinity is not necessarily an equilibrium solution. The limit as t approaches infinity may exist, but it doesn't guarantee that the derivative is always zero or constant.

- The method of the integrating factor can solve not only first-order but also higher-order differential equations. This statement is true. The method of the integrating factor is a technique used to solve linear differential equations, and it can be applied to both first-order and higher-order equations.

- When solving separable equations through the method of separation of variables, we do not lose any solutions. This statement is false. The method of separation of variables guarantees the existence of a general solution, but it may not capture all possible particular solutions. Therefore, we may potentially miss some specific solutions when using this method.

- The equation y' = ky, where y(t) represents the size of a population at time t, models exponential population growth, not taking into account the carrying capacity of the environment. Therefore, the statement is false.

- The equation y = yx + x is not separable. Separable equations can be expressed in the form g(y)dy = f(x)dx, where the variables can be separated on opposite sides of the equation. In this case, the equation does not have that form, so the statement is false.

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Answer:

D

Step-by-step explanation:

from what I could tell, it sounds like D would be correct

A number that can be distributed across two terms inside parentheses is 3/5.

The terms that can be combined are 18 and -1.

In Mathematics, the distributive property of multiplication states that when the sum of two or more addends are multiplied by a particular numerical value, the same result and output would be obtained as when each addend is multiplied respectively by the same numerical value, and the products are added together.

Next, we would multiply both sides of the equation by 3/5 in order to open the bracket as follows;

3x/5 - 6 = 18 - 4x - 1

By combining like terms and simplifying the equation, we have:

3x/5 + 4x = (18 - 1) + 6

3x/5 + 4x = 17 + 6

23x/5 = 23

x = 5

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Complete Question:

Solve this equation: 3/5(x - 10) = 18 - 4x - 1

Answer:

Step-by-step explanation:

-2

Apply this particular rule of logs:

log a - log b = log a/b

Therefore, log2 (3) - log2 (12) = log2 (3/12) = log2 (1/4)

This last result simplifies to  log2 1 - log2 4 = 0 - 2 = -2

Answer:

-2

Step-by-step explanation:

\(log_2(3)-log_2(12)\)

~Simplify using log properties

\(log_2(\frac{3}{12})\)

\(log_2(\frac{1}{4})\)

~Apply log rules

\(-log_2(4)\)

~Rewrite

\(-log_2(2^2)\)

~Apply log rules

\(-2log_2(2)\)

~Apply log rules

-2 * 1

~Simplify

-2

Best of Luck!

The most precise name for the quadrilateral WXYZ is a parallelogram

From the question, we have the following parameters that can be used in our computation:

Quadrilateral WXYZ with vertices W(-3,4), Y(2,4), W(3,-1), and Z(-2,-1)

Next, we plot the vertices W(-3,4), Y(2,4), W(3,-1), and Z(-2,-1) on a graph

See attachment for the graph

From the attached graph, we can see that:

The quadrilateral has a pair of parallel sides

This means that the best name is a parallelogram

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