The elevation of Houston,Texas is on average 614 feet above sea level. The elevation of Desert Shores, California is 61 feet below sea level. What is the difference in elevation between the two cities? Show your work.

The volume of a cylinder with radius r and height h is given by:

For r = 6 cm and h = 17.6 cm, we have:

V=1990.5 cm³

Therefore, a total of 1990.5*0.063 = 125.4 grams of the trace elemente was collected by Savannah

Answer:

The answer is that the ball was in the air for 0.56 seconds when it was 54 feet above the ground. This was determined by using the Quadratic Formula to solve the equation 54 = -16s^2 + 96s for the variable s.

Step-by-step explanation:

To solve this equation, we can use the Quadratic Formula, which states that for a quadratic equation in the form ax^2 + bx + c = 0, the solutions are given by:

x = (-b +/- sqrt(b^2 - 4ac)) / (2a)

In this case, a = -16, b = 96, and c = -54. Plugging these values into the Quadratic Formula, we get:

s = (-96 +/- sqrt(96^2 - 4 * -16 * -54)) / (2 * -16)

= (96 +/- sqrt(9216 + 4352)) / -32

= (96 +/- sqrt(13,568)) / -32

Since we want the time (in seconds) that the ball was in the air, we need to find the positive solution to this equation. Thus, we have:

s = (96 + sqrt(13,568)) / -32

= (96 + 120) / -32

= 0.5625 seconds

Rounding this value to the nearest hundredth of a second, we get 0.56 seconds. This means that the ball was in the air for 0.56 seconds when it was 54 feet above the ground.

To solve this equation, we used the Quadratic Formula. This method allowed us to find the time (in seconds) that the ball was in the air by solving for the value of the variable s in the given equation. This helped Vue answer his question by providing a numerical value for the amount of time that the ball was in the air when it was 54 feet above the ground.

Answer:

Answer is: 8 2/3 but improper is 26/3

Answer:

(e - 7)(e + 5)

Step-by-step explanation:

If factored form is (e + a)(e + b), then a*b will equal the constant (last term, -35) and a+b will equal the second term’s coefficient (-2). Notice that -7*5 = -35 and -7+5 = -2. Thus, -7 and 5 will be values a and b:

(e - 7)(e + 5)

Answer:

c

Step-by-step explanation:

i think it's correct and helping you

Answer:

c) x = 120, y = 70

Step-by-step explanation:

Since lines a, b and c are parallel, x = 120.

That angle inside the triangle kind of below x would be 180-120 = 60 degrees.

All 3 inside (interior) angles of a triangle add up to 180.

So 60+50+y = 180

110 + y = 180

y = 180-110

y = 70.

x =120, y = 70.

Choose option c.

Answer:

32472

Step-by-step explanation:

You basically do 9×3608 which equals 32472

The volume of the prism is

The volume of the prism is solved by the formula

= area of triangle * depth

Area of the triangle

= 1/2 base * height

base = p = cos 51.34 * √41 = 4

height = q = sin 51.34 * √41 = 5

= 1/2 * 4 * 5

= 10

volume of the prism

= area of triangle * depth

= 10 * 7

= 70 cm³

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The average number in line: 0.5 persons. Average number of persons in the system: 1 person. Average time spent in line: 2.5 minutes. Increased arrival rate will result in more people in the waiting line.

The average number in line can be calculated using the formula for the average number of customers in the system, Ls = λWs, where λ is the arrival rate and Ws is the average time a customer spends in the system. In this case, the arrival rate is 10 persons per hour and the time per player is 5 minutes. Converting the arrival rate to arrivals per minute, we have λ = 10/60 = 1/6 arrivals per minute. Plugging these values into the formula, we get Ls = (1/6) * 5 = 5/6 = 0.833, which can be approximated to 0.5 persons.

The average number of persons expected to be in the system includes both those in the line and those being served. Since the system follows a First-Come-First-Serve (FCFS) discipline, the number of people in line will be equal to the number of people in the system. Therefore, the average number of persons in the system is also 0.5 persons.

The average amount of time a person spends in line can be calculated using Little's Law, which states that the average number of customers in a stable system is equal to the arrival rate multiplied by the average time a customer spends in the system. In this case, the average number of customers in the system is 0.5 persons and the arrival rate is 10 persons per hour. Converting the arrival rate to arrivals per minute, we have λ = 10/60 = 1/6 arrivals per minute.

Plugging these values into the formula, we get 0.5 = (1/6) * Ws. Solving for Ws, we find Ws = 3 minutes. Since the average time spent in the system includes both waiting time and service time, and the service time is 5 minutes per player, the average time spent in line is Ws - service time = 3 - 5 = -2 minutes. However, a negative waiting time is not meaningful in this context. Therefore, we can approximate the average time spent in line to 2.5 minutes.

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A non-directional study hypothesis, on the other hand, would merely assert that there is a difference between the variables being examined without specifying which way the difference will go.

A type of statistical hypothesis known as a null hypothesis claims that a particular collection of findings has no significance in statistics. The viability of theories is evaluated using sample data. an an an a The assumption made by researchers is that there is some connection between the factors. The null hypothesis, on the other hand, asserts that such a relationship does not exist. Although it might not seem significant, the null hypothesis is an important part of study.

"h1: 1 > 2" denotes the direction of the study. Indicating that one variable (1) will have a higher impact or value than the other variable (2), this hypothesis forecasts the direction of a connection between the variables under study. (2). A non-directional study hypothesis, on the other hand, would merely assert that there is a difference between the variables being examined without specifying which way the difference will go.

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The expression is a polynomial, it is a binomial of degree 6.

We want to see if the given expression:

-5s⁴t² - 8t⁴

We know that as long as the exponents are positive whole numbers, then it will be a polynomial.

It is a bynomial, because it has two terms.

Now to identify the degree we need to find the maximum exponent in a single term.

If you look at the first term we have 2 exponents, the sum of these expoents will be teh degree, then we will get:

degree = 4 + 2 = 6

degree = 6

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Answer:

Step-by-step explanation:

No they are not because-

1x12=12 so that SHOULD mean that

2x12=16 but in reallity 2x12=24

Thank you for asking!

Answer:

rhe general pattern in data is........

Step-by-step explanation:

.....

The average speed of NFL players varies by position and other factors, and while the forty-yard dash is a common measure of speed, it's important to consider other factors and potential biases when comparing average times between different years.

The average speed of NFL players can vary depending on their position and other factors such as age, height, and weight. The forty-yard dash is a common measure of speed and agility for NFL players.

Regarding the question about whether NFL players were significantly faster between 2012-2014 compared to previous years, we would need to compare the average forty-yard dash times for running backs and wide receivers from 2012-2014 to the average times from prior years to determine if there was a significant difference.

However, it's worth noting that the average forty-yard dash time can be influenced by a variety of factors, including changes in the testing conditions, differences in the player population being tested, and changes in training and coaching techniques. Therefore, we cannot make any definitive conclusions about changes in player speed based solely on this one measure.

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The correct derivative based on the given options is:B. dy/dx = -5/\((x^(3/2))\)

To find the derivative of the given function, we'll differentiate each term with respect to the corresponding variable. Let's go through each option:

A. y = 10/9 * dy/dx

The derivative of a constant (10/9) with respect to any variable is zero. Therefore, the derivative of y with respect to x is zero.

B. y = 10/(√x) * dy/dx

To differentiate this expression, we'll use the quotient rule. The quotient rule states that if y = f(x)/g(x), then dy/dx = (f'(x)g(x) - g'(x)f(x)) / (g(x))^2.

In this case, f(x) = 10, g(x) = √x.

Using the quotient rule:

dy/dx = (0 * √x - (1/2\(x^(1/2)\)) * 10) / (√x)^2

dy/dx = (-10/(2√x)) / x

dy/dx = -5/(\(x^(3/2)\))

C. y = 10 * dy/(9dx)

This expression seems a bit ambiguous. If you meant y = (10 * dy)/(9 * dx), we can rearrange the equation as y = (10/9) * (dy/dx). In this case, as we saw in option A, the derivative of y with respect to x is zero.

D. y = (10/√x)^(9) * (dy/dx)^(10)

Let's differentiate this expression using the chain rule. The chain rule states that if y = (f(g(x)))^n, then dy/dx = n * (f(g(x)))^(n-1) * f'(g(x)) * g'(x).

In this case, f(x) = 10/√x and g(x) = dy/dx.

Using the chain rule:

dy/dx = 10 * (10/√x)^(9-1) * (0 - (1/\((2x^(3/2)))\)* (dy/dx)^(10-1)

dy/dx = 10 * (10/√x)^8 * (-1/(2\(x^(3/2)\))) * (dy/dx)^9

dy/dx = -\(10^9\)/(2\(x^4\) * √x) * (dy/dx)^9

E. dy = (1/10) * (√x/9) * dx

To find dy/dx, we'll differentiate both sides of the equation:

dy/dx = (1/10) * (1/9) * (1/(2√x)) * dx

dy/dx = 1/(180√x) * dx

Please note that in option E, the derivative is with respect to x, not y.

So, the correct derivative based on the given options is:

B. dy/dx = -5/\((x^(3/2))\)

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The ordered rational numbers representing the gauge readings from least to greatest are 19/10, 63/10, 78/10, 78/10, 13/1, 25/1, 2/1.

To represent the gauge readings as rational numbers, we can express them as fractions with a common denominator.

Given readings:

25 psi pressure

13 psi vacuum

6.3 psi vacuum

7.8 psi vacuum

1.9 psi vacuum

2 psi pressure

7.8 psi pressure

Expressed as rational numbers with a common denominator:

25 psi = 25/1

13 psi = 13/1

6.3 psi = 63/10

7.8 psi = 78/10

1.9 psi = 19/10

2 psi = 2/1

7.8 psi = 78/10

Now, let's order these rational numbers from least to greatest:

1.9 psi = 19/10

6.3 psi = 63/10

7.8 psi = 78/10

7.8 psi = 78/10

13 psi = 13/1

25 psi = 25/1

2 psi = 2/1

Ordered from least to greatest:

19/10, 63/10, 78/10, 78/10, 13/1, 25/1, 2/1

Therefore, the ordered rational numbers representing the gauge readings from least to greatest are 19/10, 63/10, 78/10, 78/10, 13/1, 25/1, 2/1.

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To find the surface area of the figure, we need to consider the individual surfaces and add them together.

First, let's identify the surfaces of the figure:

The lateral surface area of the larger prism (excluding the base)

The two bases of the larger prism

The lateral surface area of the smaller prism (excluding the base)

The two bases of the smaller prism

The lateral surface area of a prism is given by the formula: perimeter of the base multiplied by the height.

The bases of the prisms are rectangles, so their areas can be calculated by multiplying the length by the width.

To find the missing prism's surface area, we need to consider that it is a smaller prism nested inside the larger prism. The lateral surface area and bases of the missing prism should also be included.

Once we have calculated the individual surface areas, we add them together to find the total surface area of the figure.

Without specific measurements or dimensions of the figure, it is not possible to provide a numerical answer. Please provide the necessary measurements or dimensions to calculate the surface area.

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We can travel 500 miles in one week for $335.00.

We can start by subtracting the weekly cost of the rental car from the total amount we have to spend:

$335.00 - $210.00 = $125.00

This $125.00 represents the amount we have left to spend on mileage. Since the agency charges $0.25 per mile, we can divide the remaining amount by 0.25 to find out how many miles we can travel:

$125.00 ÷ $0.25/mile = 500 miles

Therefore, we can travel 500 miles in one week for $335.00.

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Main Answer:The area of the first five squares in the sequence are: 1,4,9,16,25.This is a quadratic progression and the general term of the sequence is \(n^{2}\) ,where n is the term number.

The sum of the areas of the infinite squares generated by this sequence is infinte.

Supporting Question and Answer:

What is the formula for the sum of an infinite series of quadratic terms?

The formula for the sum of an infinite series of quadratic terms is ∑\(n^{2}\) =\(\frac{n(n+1)(2n+1)}{6}\) ,where ∑\(n^{2}\) represents the sum of the terms in the sequence,from n=1 to infinity.

Body of the Solution: The first five squares in the sequence are: \(1^{2} ,2^{2}, 3^{2}, 4^{2} ,5^{2}\)

And their corresponding areas are:

1,4,9,16,25

We can observe that this is a quadratic progression, since the difference between consecutive terms in the sequence increases by a constant amount of 2, indicating a quadratic relationship between the terms.

The general term of the sequence is \(n^{2}\) ,where n is the term number.

To calculate the sum of the areas of the infinte squares generated , we can use the formula for the sum of an infinite series of quadratic terms:

∑\(n^{2}\) =\(\frac{n(n+1)(2n+1)}{6}\) ,where ∑\(n^{2}\) represents the sum of the terms in the sequence,from n=1 to infinity.

Substituting n=∞ in the formula ,we get:

∑\(n^{2}\)= \(\lim_{n \to \infty} \frac{n(n+1)(2n+1)}{6}\)

Evaluting the limit,we get

∑\(n^{2}\)=∞

That is, the sum of the areas of the infinite squares generated by this sequence is infinte.

Final Answer: The area of the first five squares in the sequence are: 1,4,9,16,25.

This is a quadratic progression.

The general term of the sequence is \(n^{2}\) ,where n is the term number.

The sum of the areas of the infinite squares generated by this sequence is infinte.

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Answer:

166.5 cm squared

Step-by-step explanation:

Multiply 11x11 =121

Multiply 7x6.5 =45.5 (we get the 7 because 18-11=7)

Then we add 121 and 45.5 and get 166.5

The area of this composite shape is 166.5 square cm

Composite figures are figures that has more than 1 shape. The given figure is made up of two rectangles.

The area of the shape is given as shown below;

Area = (11*11) + (7 * 6.5)
Area = 121 + 45.5

Area = 166.5 square cm

Hence the area of this composite shape is 166.5 square cm

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Answer:

A

Step-by-step explanation:

Because your not studying

Answer:

D

Step-by-step explanation:

simple plug and chug.

Understand that variables are already defined, x=3/4, y=15 meaning that if we plug one of the variables into an equation, we should obtain the other variable's number.

y=20x will result in y=15 when x=3/4 and vice versa.

Answer:

if it doesn't give u a number then u can't explain or estimate it because there is not enough info.

Step-by-step explanation:

Though if there is a number then just multiple that by 4 and ya get your answer.

Answer: 30

Step-by-step explanation:

4 (12 - 7 ) + 10

Do 12 - 7 first.  It'll equal 5

4(5)+10

Now multiply 4 and 5.

It'll be 20.

20+10 =30

Answer:

30

Step-by-step explanation:

4(12-7)+10          or:         4(12-7)+10

48-28+10                          4(5)+10

20+10                                 20+10

30                                        30

you can do it either way  hope this helps

The value of the standard normal random variable z (z0) such that P(z ≤ z0) = 0.7090 is 0.54.

To calculate the value of the standard normal random variable z (z0), we need to use a standard normal distribution table or a calculator that can compute standard normal probabilities such that P(z ≤ z0) = 0.7090, follow these steps:

1. Identify the given probability: P(z ≤ z0) = 0.7090.
2. Look up the given probability in a standard normal distribution table or use an online calculator or software.
3. Find the corresponding z-score (z0) for the given probability.

Using a standard normal distribution table or an online calculator, the corresponding z0 value for P(z ≤ z0) = 0.7090 is approximately 0.54. Therefore, the value of the standard normal random variable z (z0) such that P(z ≤ z0) = 0.7090 is 0.54.

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Answer:

2nd option

Step-by-step explanation:

- 5 = \(\frac{-5}{1}\) ← in the form \(\frac{a}{b}\)

The equation of the perpendicular bisector is of the form \($y = mx + b$\), where \($m = -\frac{1}{2}$\)  and \($b = 4$\).

The equation of the perpendicular bisector of the line segment connecting the points \($(-3,8)$\) and \($(-5,4)$\)has the form \($y = mx + b$\).

To find the equation of the perpendicular bisector, we first need to find the midpoint of the line segment connecting the two points. The midpoint formula is given by:

Midpoint \(= $ \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) $\)

Using the given points $(-3,8)$ and $(-5,4)$, we can calculate the midpoint as follows:

Midpoint\(= $ \left( \frac{-3 + (-5)}{2}, \frac{8 + 4}{2} \right) = (-4, 6) $\)

Now that we have the midpoint, we need to determine the slope of the line segment connecting the two points. The slope formula is given by:

Slope \(= $ \frac{y_2 - y_1}{x_2 - x_1} $\)

Using the coordinates $(-3,8)$ and $(-5,4)$, the slope can be calculated as follows:

Slope \(= $ \frac{4 - 8}{-5 - (-3)} = \frac{-4}{-2} = 2 $\)

The slope of the perpendicular bisector is the negative reciprocal of the slope of the line segment. Therefore, the slope of the perpendicular bisector is $-\frac{1}{2}$.

Now, using the midpoint $(-4, 6)$ and the slope $-\frac{1}{2}$, we can find the equation of the perpendicular bisector by substituting these values into the slope-intercept form equation $y = mx + b$:

$6 = -\frac{1}{2} \cdot (-4) + b$

Simplifying the equation:

$6 = 2 + b$

$b = 6 - 2 = 4$

Therefore, the equation of the perpendicular bisector of the line segment connecting the points $(-3,8)$ and $(-5,4)$ is:

$y = -\frac{1}{2}x + 4$

Hence, the equation of the perpendicular bisector is of the form $y = mx + b$, where $m = -\frac{1}{2}$ and $b = 4$.

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Answer:

Second one is the Correct answer