The University of Washington Huskies tried throwing one of the longest Hail Mary's in history
- about 73 yards. For this pass, the ball's height over time was modeled by the function
h(t) = –16t2 + 64t + 6, where h(t) was the height in feet and t was the time in seconds.
Let's break down whether the Huskies ever had a chance.
1.
73 yards isn't just a long way to throw, it's a long way to run. To give his team the
best chance of running all the way down the field and catching the ball before it hits
the ground, the quarterback (passer) needs to keep the football in the air for a long
time. How long was the ball in the air?

The measure of the missing length "u" is 45 miles.

To find the measure of the missing length "u" in the similar shapes, we can set up a proportion based on the corresponding sides of the shapes. Let's denote the given lengths as follows:

20 mi corresponds to 25 mi,

36 mi corresponds to u.

The proportion can be set up as:

20 mi / 25 mi = 36 mi / u

To find the value of "u," we can cross-multiply and solve for "u":

20 mi * u = 25 mi * 36 mi

u = (25 mi * 36 mi) / 20 mi

Simplifying:

u = (25 * 36) / 20 mi

u = 900 / 20 mi

u = 45 mi

Therefore, the measure of the missing length "u" is 45 miles.

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The researcher can use certain formulas for finding confidence intervals and hypothesis testing in this scenario.

For confidence intervals, the formula for the mean difference would be used, which is the average of the weight changes in the sample.

This formula calculates the range within which the true population mean difference is likely to fall.

To conduct hypothesis testing, the researcher can use the formula for the t-test for a single sample.

This test compares the mean difference observed in the sample to a hypothesized value and determines whether there is enough evidence to support or reject the hypothesis.

To check the assumptions necessary for this test, the researcher would need additional information. The assumptions typically include:

1. Random sampling: It is important to ensure that the subjects were randomly selected from the population to generalize the results.

2. Normality: The weight changes should follow a normal distribution within the population.

The researcher would need to assess the normality assumption, such as by examining the distribution of weight changes or using statistical tests like the Shapiro-Wilk test.

3. Independence: The weight changes of one subject should not be influenced by the weight changes of another subject.

This assumption can be violated if the subjects are related or if there are repeated measurements on the same subjects.

By checking these assumptions and using the appropriate formulas, the researcher can make confidence intervals and perform hypothesis testing to draw conclusions about the effects of the drug on weight loss in the population.

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Answer:

3.1415967382

Step-by-step explanation:

A unit rate is a rate in which the second quantity, or denominator, in the comparison is 1 unit. You can find the unit rate by dividing the first quantity in a relationship by the second quantity.

The most common second quantity in rates, from personal experience, is the denominator in a fraction, like the 1 in 50/1. This is because the denominator is seen as the one specifying the unit. For example, in the rate "a car goes 50 miles per hour," the numerator would be the distance the car is traveling, which is 50, whilst the denominator would be the time the car takes to drive a certain distance - in this case, 1 hour. The first quantity is 50 miles and the second quantity is 1 hour. We can divide the first quantity by the second to get the fraction 50/1, which is a unit rate because the denominator (second quantity) has a value of 1. This also applies to values such as 90/3, where we would be trying to simplify the fraction to get a denominator value of 1.

The solution to the differential equation xy' - 2y = 4x² is y = (x² + C/x²) , where C is a constant of integration.

To solve the differential equation xy' - 2y = 4x², we first rearrange it to isolate y':

xy' = 2y + 4x²

Next, we divide both sides by x:

y' = (2y/x) + 4x

This is now in the form of a linear first-order differential equation, where the coefficient of y' is a function of x only. To solve this equation, we use an integrating factor:

Let \(\mu(x) = e^(\int2/x\cdot dx) = e^{(2ln|x|)} = x^2\)

Multiplying both sides by μ(x), we get:

x²y' = 2xy + 4x³

Now, we can write this as the derivative of xy²:

(xy²)' = 4x³

Integrating both sides with respect to x, we get:

xy² = x⁴ + C

Solving for y, we get:

y = (x² + C/x²)

Therefore, the solution to the differential equation xy' - 2y = 4x² is y = (x² + C/x²), where C is a constant of integration.

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Answer:

11

subtract 3

Step-by-step explanation:

The numbers are getting lower in value as you go,

So that means it is a subtracting sequence,

Take the first two numbers and subtract them,

23 - 20 = 3

So now subtract 3 from the others and see if it works,

20 - 3 = 17

17 - 3 = 14

14 - 3 = 11

11 is the missing number

Yep, it works,

Hence the sequence is to subtract three.

The median height of the boys aged 13 years is 160 cm.

option D.

From the given equation of line of best fit, the median height of the boys aged 13 years is calculated as follows;

The given equation for line of best fit is;

y = 6.5x + 75.5

where;

when x = 13 years, the value of y, median height, is calculated as follows;

y = 6.5 (13) + 75.5

y = 160 cm

Thus, the median height of the boys aged 13 years is determined by applying the given equation for line of best fit,

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The parent would have to earn at least $4.166

$2,475 * 12 months = $29,700

$4,000 savings goal to the family's yearly income

$29,700 + $4,000 = $33,700

yearly income for second parent

80 hours/month * 12 months = 960 hours/year

If offer of daycare is accepted

$33,700 (total income) - $29,700 (first parent's income)

= $4,000

$4,000 / 960 hours = $4.166

this is the minimum wage

The parent would have to earn at least $4.166

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Summarizing a number of survey questions into a single concept could be achieved with which type of analysis?

a. factor analysis

b. multiple discriminant analysis

c. multiple regression analysis

d. cluster analysis

Factor Analysis

The correct option is (a)

Now, According to the question:

Let's know:

What is factor analysis?

Factor analysis is a technique that is used to reduce a large number of variables into fewer numbers of factors. This technique extracts maximum common variance from all variables and puts them into a common score. As an index of all variables, we can use this score for further analysis.

Factor Analysis

The correct option is (a)

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The question is like this:

Summarizing a number of survey questions into a single concept could be achieved with which type of analysis?

a. factor analysis

b. multiple discriminant analysis

c. multiple regression analysis

d. cluster analysis

Answer:

m = 3

Step-by-step explanation:

see image.

6/8 = 3/4

Use the picture in the problem or use algebra to find m. See image.

Answer:

\(-2 \geq w \geq 2\)

Step-by-step explanation:

Given

\(|-w| \geq 2\)

Required

Solve for w

\(|-w| \geq 2\)

In absolution functions;

\(|-w| = |w|\)

So, the given expression can be rewritten as

\(|w| \geq 2\)

Removing the absolute sign, will gibe

\(w \geq 2\) or \(w \leq -2\)

When the second inequality os rewritten, it gives

\(w \geq 2\) or \(-2 \geq w\)

Reorder both inequalities

\(-2 \geq w\) or \(w \geq 2\)

Lastly, both inequalities are combined

\(-2 \geq w \geq 2\)

However, we need to substitute a with s since that is the value we have calculated. Therefore, we get \(A(s) = (1/4)(5 + sqrt(5))s^2.\) This is the function notation that represents the area of a regular pentagon whose perimeter is 140 cm.

Let's consider that s be the length of a side of the regular pentagon.

The perimeter of the regular pentagon will be 5s. Therefore, we have the equation:5s = 140s = 28 cm

Also,

we have the formula for the area of a regular pentagon as:

\($A=\frac{1}{4}(5 +\sqrt{5})a^{2}$,\)

where a is the length of a side of the pentagon.

In order to represent the area of a regular pentagon whose perimeter is 140 cm, we need to substitute a with s, which we have already calculated.

Therefore, we have:\(A(s) = $\frac{1}{{4}(5 +\sqrt{5})s^{2}}$\)

Now, we have successfully used function notation (with the appropriate functions above) to represent the area of a regular pentagon whose perimeter is 140 cm.

The area of a regular pentagon can be represented using function notation (with the appropriate functions above). The first step is to calculate the length of a side of the regular pentagon by dividing the perimeter by 5, since there are 5 sides in a pentagon.

In this case, we are given that the perimeter is 140 cm, so we get 5s = 140, which simplifies to s = 28 cm. We can now use the formula for the area of a regular pentagon, which is\(A = (1/4)(5 + sqrt(5))a^2\), where a is the length of a side of the pentagon.

However, we need to substitute a with s since that is the value we have calculated. Therefore, we get\(A(s) = (1/4)(5 + sqrt(5))s^2.\) This is the function notation that represents the area of a regular pentagon whose perimeter is 140 cm.

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Answer:

29.

a. A = 24ft²

b. A = 44ft²

30. He will need 72 pieces

31. There is 17,750ft² of land left

Step-by-step explanation:

look at the picture

Answer:

around 6.66 year old

Step-by-step explanation:

To solve this problem, we have to apply mole-concept to this and we would need the molar mass of AlCl3.  2g of AlCl3 contains 9.034*10^21 molecules.

The molar mass of AlCl3 is given as 133.34g/mol

Data;

Using the mole concept, we can equate the molar mass to the number of molecules present in the entity.

\(133.34g = 6.023*10^2^3\)

If we equate this

\(133.34g = 6.023*10^2^3\\2g = x molecules\\x = \frac{2*6.023*10^2^3}{133.34} \\x = 9.034*10^2^1 molecules\)

From the calculations above, 2g of AlCl3 contains 9.034*10^21 molecules.

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Loewen utilizes a systematic approach to identify falsehoods in textbooks by detecting distortions and significant omissions.

Loewen employs a rigorous method to evaluate textbooks for inaccuracies and biases. He critically analyzes the content, looking for distortions, manipulations, and significant silences that may perpetuate misinformation or create a biased narrative. Loewen focuses on identifying factual errors, misleading interpretations, and intentional omissions of crucial historical events or perspectives.

To accomplish this, Loewen compares multiple textbooks, cross-referencing information to verify its accuracy. He also consults primary sources and scholarly works to fact-check claims and fill in gaps left by the textbooks. By scrutinizing the content through multiple lenses and employing a comprehensive research approach, Loewen aims to uncover distortions and significant omissions that may shape students' understanding of history and perpetuate a biased or incomplete narrative. His method ensures a thorough examination of textbook content, promoting critical thinking and an accurate representation of historical events.

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Step-by-step explanation:

3 more than twice n = 3+2n

3 more than twice n is atmost 50,

=> 3+2n <= 50 {(3+2n) is less than or equal to 50}

Answer:

3 + 2n ≤ 50

Step-by-step explanation:

"at most 50" means 50 or less.

Hope this helps.

Answer:

y = \(\frac{1}{3}\) x

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here slope m = \(\frac{1}{3}\) , then

y = \(\frac{1}{3}\) x + c ← is the partial equation

to find c substitute (- 9, - 3) , that is x = - 9, y = - 3 into the partial equation

- 3 = \(\frac{1}{3}\) (- 9) + c = - 3 + c ( add 3 to both sides )

0 = c

y = \(\frac{1}{3}\) x + 0 , that is

y = \(\frac{1}{3}\) x

The value of x is 4√3 cm in the right-angled triangle.

To find the value of x in the right-angled triangle, we can use trigonometric ratios. In this case, we have the hypotenuse and the angle between the base and hypotenuse.

We know that in a right-angled triangle, the side opposite the 30-degree angle is half the length of the hypotenuse, since the triangle is a special 30-60-90 triangle.

Let's denote the side opposite the 30-degree angle as y. Since the hypotenuse is given as 8 cm, we have y = (1/2) * 8 = 4 cm.

Now, we can use the Pythagorean theorem to find the length of the base (x) of the triangle. The Pythagorean theorem states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Using this theorem, we have:

\(x^2 + y^2 = 8^2\\x^2 + 4^2 = 64\\x^2 + 16 = 64\\x^2 = 64 - 16\\x^2 = 48\)

Taking the square root of both sides, we get:

x = √48

Simplifying the square root of 48, we have:

x = √(16 * 3)

x = 4√3

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We have that for the Question, it can be said that this is a way to approach the presentation

Generally we are asked to conduct a research on your car  using  reference

materials and Internet sites

While

Internet sites refers to sites on the net that gives detailed and affirmed information on  used cars

e.g www.cars.com

Now on the slides

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The type of scale used to evaluate the food at a new restaurant on 7-point scales with bipolar adjectives such as good-bad and inexpensive-expensive is known as a Likert scale.

This type of scale is commonly used in surveys to measure attitudes and opinions towards a particular topic, in this case, the food at a new restaurant. A Likert scale consists of a series of statements or adjectives that respondents are asked to rate on a scale that ranges from strongly disagree to strongly agree or, in this case, from bad to good and from inexpensive to expensive.

The bipolar adjectives used in the scale allow for a clear distinction between the positive and negative aspects of the food, which helps to ensure that the responses are more accurate and meaningful. The 7-point scale provides a wider range of options than a binary scale, which allows for more nuanced and detailed responses.

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Answer:

-4n + 49

Step-by-step explanation:

it is going down by 4 each step, hence, -4 and 45 -- 4 = 45 + 4 = 49.

Answer:

Step-by-step explanation:

45, 41, 37, 33, 29, ....

a₁ = 45

a₂ = 45 - 4 = 41

a₃ = 41 - 4 = 37

a₄ = 37 - 4 = 33

a₅ = 33 - 4 = 29

...

It's an arithmetic sequence.

a₁ = 45, d = -4

A general term of an arithmetic sequence:

aₙ = a₁ + (n - 1)d

Substitute:

aₙ = 45 + (n - 1) · (-4) = 45 - 4n + 4 = -4n + 49

To determine the number of drawings Jonathon can create with 23 sticks of vine charcoal, we need to calculate the ratio of sticks to drawings.

Given that Jonathon uses 7 sticks of vine charcoal for every 3 drawings, we can set up the following proportion:

7 sticks / 3 drawings = 23 sticks / x drawings

To solve for x, we can cross-multiply:

7 sticks * x drawings = 3 drawings * 23 sticks

7x = 69

Dividing both sides by 7:

x = 69 / 7

x ≈ 9.857

Since we cannot have a fraction of a drawing, we round down to the nearest whole number.

Therefore, Jonathon can create approximately 9 drawings with 23 sticks of vine charcoal.

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Answer:

it is 12.2

Step-by-step explanation:

The probability that she selects the route of three specific capitals is 97290/1.

The probability that she selects the route of three specific capitals can be calculated by taking the total number of possible routes and dividing it by the total number of routes that involve the three specific capitals. To calculate the total number of possible routes, multiply the number of states (47) by the number of routes that could be selected from each state (2). This gives 94 total possible routes.

47 x 46 x 45 ways = 97290 ways

= 1/97290

Now, calculate the number of routes that involve the three specific capitals. Since the president is selecting three states, the total number of routes will be 3. Therefore, the probability that she selects the route of three specific capitals is 3/94, which can be simplified to 97290/1.

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Combining of the two cylinders gives a composite figure that has the surface area of a solid cylinder of radius 7 mm and height 6 mm, such that the surface area of the figure is approximately 571.5 mm².

Radius of the inner cylinder, r = 3 mm

Radius of the outer cylinder, R = 7 mm

Height of the cylinders, h = 6 mm

Given that the inner cylinder exactly fits into the outer cylinder, we have;

The surface area of the composite figure is the surface area of the hollow outer cylinder + The area of the top and bottom of the inner cylinder.

Which gives;

The surface area of the composite figure, A, is the surface area of a solid cylinder, using the dimensions of the hollow outer cylinder.

Which gives;

Where, π = 3.14, we have;

A = 2 × 3.14 × 7² + 2 × 3.14 × 7 × 6 ≈ 571.5

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Answer:

988

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the number be x.

four times the number:

4x

If the exprression is increased by 1, it will become:

4x+1

If the value is between -7 and 13, the value of x will be within the range [-6, 12]

Equating the resulting expression to each end point.

At end point of -6

4x+1 = -6

4x = -6-1

4x = -7

x = -7/4

At the end point of 12:

4x+1 = 12

4x = 12-1

4x = 11

x = 11/4

Hence all the numbers will be within the range [-7/4, 11/4] or -7/4≤x≤11/4

Answer:

bbbbbvvvvvvvvv

Step-by-step explanation:

PLEASE HELP ME!! (I’m struggling in microeconomics) For each scenario see whether you agree. Then determine if the scenario is talking about a price for or price silly then graph the price control to show the results.

Step-by-step explanation:

To find probability ratio wise

Sports Cars: Total Cars

3 + 3 + 2 = 8 total cars

2 sports cars

Ratio is 2:8

Reduces to 1:4

The value of x is 9

The term "congruent" refers to having exactly the same shape and size. Even if we flip, turn, or rotate the shapes, the shape and size should remain the same.

Given that Angle, ABC is congruent to Angle DEC

AB =4x and angle E =450

We have to find the value of x

If Angle ABC is congruent to Angle DEC, we have

AB = DE, BC= EF, CA = FE AND

ANGLE A = ANGLE D

ANGLE B = ANGLE E

ANGLE C = ANGLE F

5 x = 45

X = 9

Therefore the value of x is 9

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