17) When filled to maximum capacity, a silo can hold about 4,000 cubic meters of corn. The radius of the silo is 8 meters. To the nearest meter, what is the approximate height (h) of the silo? ​

When x = 4 and dx = 0.2, dy = -0.05 - When x = 4 and dx = 0.05, dy = -0.0125.

To find the differentials dy when x = 4 and dx = 0.2, and when x = 4 and dx = 0.05, we can use the concept of differentials in calculus.

Given: y = √(8 - x)

We can find the differential dy using the formula:

dy = (∂y/∂x) * dx

To find (∂y/∂x), we differentiate y with respect to x:

∂y/∂x = d/dx (√(8 - x))

      = (1/2) * (8 - x)^(-1/2) * (-1)

      = -1 / (2√(8 - x))

Now, let's calculate the differentials dy for the given values:

1. When x = 4 and dx = 0.2:

dy = (∂y/∂x) * dx

  = (-1 / (2√(8 - x))) * dx

  = (-1 / (2√(8 - 4))) * 0.2

  = (-1 / (2√4)) * 0.2

  = (-1 / (2 * 2)) * 0.2

  = (-1 / 4) * 0.2

  = -0.05

Therefore, when x = 4 and dx = 0.2, the differential dy is -0.05.

2. When x = 4 and dx = 0.05:

dy = (∂y/∂x) * dx

  = (-1 / (2√(8 - x))) * dx

  = (-1 / (2√(8 - 4))) * 0.05

  = (-1 / (2√4)) * 0.05

  = (-1 / (2 * 2)) * 0.05

  = (-1 / 4) * 0.05

  = -0.0125

Therefore, when x = 4 and dx = 0.05, the differential dy is -0.0125.

In summary:

- When x = 4 and dx = 0.2, dy = -0.05.

- When x = 4 and dx = 0.05, dy = -0.0125.

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Answer:

a)

Step-by-step explanation:

By definition; for constant speed,

S = ∆d/t

= 67.5/1.5

= 45

Therefore, the relationship between d and t is giving as; d = 45t

Which of the following is the formula in solving the area of a circle?

\(\longrightarrow{\green{b.\:A\:= \:π\:r²}}\) ✅

Explanation:-

Area of a circle (A) = πr²

where,

A = Area

π = \( \frac{22}{7} \) or 3.14

r = radius of the circle.

\(\bold{ \green{ \star{ \orange{Mystique35}}}}⋆\)

Answer:

im confused. what math structure is this

On a demand curve for most goods, as the price of the product decreases, the number of units the customer is willing to buy increases.

The relationship between price and quantity demanded is a fundamental concept in economics and is typically represented by a demand curve. According to the law of demand, as the price of a product decreases, the quantity demanded by customers tends to increase, and vice versa. This inverse relationship between price and quantity demanded can be attributed to various factors.

When the price of a product decreases, it becomes more affordable for consumers, leading to an increase in their willingness to purchase it. Lower prices may also create a perception of greater value or incentivize customers to buy more of the product. Conversely, as the price of a product increases, consumers may find it less affordable or less attractive, resulting in a decrease in their willingness to buy.

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The value of x for this problem is given as follows:

x = 5.

Hence the angle measures are given as follows:

We have that angles A and D are congruent for this problem, meaning that they have the same measure.

Hence the value of x is obtained as follows:

7x - 3 = 5x + 7

2x = 10

x = 5.

Hence the angle measures are given as follows:

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Answer:12.8

Step-by-step explanation:

4(7.2-4)

4(3.2)

12.8

Answer: If you evaluate i guess 12.8

Step-by-step explanation:

To ensure that the integral test can be applied to the series, it is necessary to verify that the function f is continuous, positive, and decreasing.

The integral test is a method used to determine whether an infinite series converges or diverges based on the convergence of the corresponding improper integral. Suppose that f is a positive, decreasing, and continuous function on [1, ∞) such that f(n) = a_n for each n ∈ ℕ. Then, the infinite series ∑a_n converges if and only if the improper integral ∫f(x) dx from 1  ∞ converges.

A few steps to be taken for applying the integral test:

Verify that the function f is continuous, positive, and decreasing on the interval [1, ∞).

Compute the integral ∫f(x) dx from 1 to ∞.

The integral ∫f(x) dx converges if and only if the series ∑a_n converges.

If the integral diverges, the series diverges.

If the integral converges, the series may converge or diverge.

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I would say this is a complex number, because it is a combination of a real number, 24, and an imaginary number, -16i.

In a primitive Pythagorean triple, the sides a, b, and c are all integers, and they satisfy the equation a^2 + b^2 = c^2.

Now, let's assume that neither x nor y is divisible by 3. This means that x and y can only be 1, 2, 4, 5, 7, or 8 modulo 3. Therefore, x^2 and y^2 can only be 1 or 4 modulo 3. Now, let's consider the equation a^2 + b^2 = c^2 mod 3. If a and b are both 1 or both 2 modulo 3, then their squares will add up to 2 modulo 3, which is not a quadratic residue. Therefore, one of a and b must be 0 modulo 3, and hence, c must also be divisible by 3. We assumed that neither x nor y is divisible by 3. We then looked at the possible residues of x and y modulo 3 and saw that they can only be 1, 2, 4, 5, 7, or 8 modulo 3. We then used the fact that the sum of two quadratic residues is not a quadratic residue modulo 3, and concluded that one of a and b in the Pythagorean triple must be divisible by 3.

In conclusion, either x or y in a primitive Pythagorean triple must be divisible by 3. This is a result of the fact that the sum of two quadratic residues is not a quadratic residue modulo 3.

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Answer:

x = 13.77

Step-by-step explanation:

They provided two of the angles but I decided to just use B since it has one of its side's length already. So from there you have the angle and they adjacent side length and can use SOHCAHTOA to determine which trig function to use, which is cosine.

cosine = adj/hyp

cos(37) = 11/x

x= 11/cos(37) = 13.77

A sensible original hypothesis that suggests a positive relationship between two variables could be: "Hypothesis: Increased physical exercise is positively associated with improved cardiovascular health."

The hypothesis suggests that there is a positive relationship between increased physical exercise and improved cardiovascular health. This means that as the level of physical exercise increases, it is expected to result in an improvement in cardiovascular health.

To explain further, the hypothesis is based on the understanding that physical exercise has various beneficial effects on the cardiovascular system. Regular exercise can lead to improvements in heart function, increased blood flow, lower blood pressure, improved cholesterol levels, and better overall cardiovascular fitness.

By proposing this hypothesis, we are suggesting that individuals who engage in more physical exercise will experience greater improvements in their cardiovascular health compared to those who engage in less or no exercise. This hypothesis can be tested through research studies, where data on exercise habits and cardiovascular health measures are collected and analyzed to determine if a positive relationship exists between the variables.

It is important to note that while the hypothesis suggests a positive relationship, further research is needed to provide concrete evidence and establish a causal link between increased physical exercise and improved cardiovascular health.

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Answer:

y = 3\(\sqrt{7}\)

Step-by-step explanation:

The 2 right triangles inside the right triangle are similar, then ratios of corresponding sides are equal, that is

\(\frac{y}{9}\) = \(\frac{7}{y}\) ( cross- multiply )

y² = 63 ( take the square root of both sides )

y = \(\sqrt{63}\) = 3\(\sqrt{7}\)

The equation of line is y= -1/4x  + 2

The slope of the line and a point on the line can be used to create the equation of a line. To better comprehend how the equation for a line is formed. The slope of the line, which can be stated as a numeric integer, fraction, or the tangent of the angle it forms with the positive x-axis, is the line's inclination with respect to the positive x-axis.

The general form is \((y- y_1)= m(x - x_1)\)

given:

line that is perpendicular to y = 4x + 8 and passes through (−8, 4).

Here the slope of given line is 4.

So, the slope of perpendicular lines is

m = -1/4

Now, as the line passes through (-8, 4)

Then using

(y - y1) = m (x- x1)

y- 4= -1/4(x- (-8))

y-4 = -1/4 ( x+8)

y-4 = -1/4 x - 2

y= -1/4x  + 2

Hence, the equation of line is y= -1/4x  + 2.

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Answer: y= -1/4x  + 2

Step-by-step explanation: chose the answer and got it right on my test

one possible set of coordinates for points P and R are (6, 0) and (0, 7), respectively.

We can use the Pythagorean theorem to find the length of the hypotenuse PR:

PR² = PQ² + QR²

PR² = 6² + 7²

PR² = 36 + 49

PR² = 85

PR = sqrt(85)

Therefore, the length of the hypotenuse PR is approximately 9.22 units (rounded to two decimal places).

Since we know that point Q is the right angle, we can place it at the origin (0, 0). We can also assume that point P is on the x-axis, and point R is on the y-axis.

One possible set of coordinates for point P is (6, 0), since it lies 6 units to the right of Q along the x-axis.

One possible set of coordinates for point R is (0, 7), since it lies 7 units above Q along the y-axis.

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Answer:48 yd2

Step-by-step explanation:

The area of the yard that William would have to mow would be C. 112 yards ²

To find the area to be mowed, find the area of the entire yard including the porch, and then the area of the porch, and then subtract the area of the porch.

Area of yard :

= 12 x 12

= 144 yard ²

The area of the porch is:

= ( 12 - 8 ) x ( 12 - 4 )

= 4 x 8

= 32 yards ²

The area to be mowed is:

= 144 - 32

= 112 yards ²

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Answer:

s = 3*r

Step-by-step explanation:

sold = 3(people) * r(raffle tickets)

Step-by-step explanation:

a.b=0.6×0.75

=0.45

a/b= 0.6/0.75

=0.8

The statement "For all integers a, b, and c, if a|bc then a|b or a|c" is false, as it does not hold true for all possible choices of a, b, and c. One counterexample to this statement is (a, b, c) = (2, 3, 4).

Here, a = 2, b = 3, and c = 4.

a|bc means "a divides bc", which is true in this case since 2 divides the product of 3 and 4. However, 2 does not divide either b or c individually, so a does not divide b or c. Therefore, the statement "if a|bc then a|b or a|c" is false for this particular choice of (a, b, c).

This counterexample shows that the statement is not true for all possible choices of a, b, and c, and therefore the statement is false. It is important to note that finding a single counterexample is enough to prove the statement false.

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The idea of the Laffer Curve, as it is expressed mathematically, is that there is an optimal tax rate at which the government can maximize revenue. This concept is based on the idea that as tax rates increase, revenue collected by the government initially increases but eventually reaches a point at which further increases in tax rates lead to a decrease in revenue.

The Laffer Curve is used to analyze how economic policies may affect growth and stability by illustrating the trade-off between higher tax rates and revenue generation. It is often used as an argument to reduce the government's role in the economy, as increasing taxes beyond a certain point can be counterproductive.

Additionally, the Laffer Curve is related to the idea that aggregate supply increases when production costs decrease, as lower taxes can lead to lower production costs and, therefore, an increase in supply. This is a long answer that describes the various aspects of the Laffer Curve.

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Answer:

Patty's Printing costs $20 less than Guy's Graphix for 20 jersey's.

Step-by-step explanation:

1st. Find the total cost of Guy's Graphix:(7.50*20)+30=$180

2nd. Find the total cost of Patty's Printing:(5.50*20)+50=$160

3rd. Subtract to confirm answer:180-160=$20

Answer:

y ≤5

Step-by-step explanation:

The range is the possible y values

The largest that y gets is 5

y ≤5

Answer:

The correct answer is 41

So A is correct

Step-by-step explanation:

Answer:

I posted a picture on how it looks

Step-by-step explanation:

Hope this Hlepd

There are 10 million possible 7-digit license plates that a state can issue.

This is because each digit position can be filled with any of the 10 digits (0-9), giving us 10 options for each digit position.

By multiplying these 10 options for each of the 7-digit positions,

we get 10 * 10 * 10 * 10 * 10 * 10 * 10 = 10^7.

This amount is sufficient to guarantee that every citizen can have a distinctive license plate number.

It is significant to note that some restrictions, such as those that constitute a profane word or imply an official status, may prevent the issuance of particular license plate numbers.

So there are 10 million possible 7-digit license plates that a state can issue.

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Answer:

11 years old

Step-by-step explanation:

Create an equation. Let x = the age of Carlos.

2x + x = 33

3x = 33

x = 11

Answer:

ye Carlos us 11 years old

50%

since 98/2 = 49

Thats it

Answer:

758.7161

rounded to 758.72

Step-by-step explanation:

find whats 11% of 852.49 then subtract that number from 852.49