Teddy plays on the Wolves football team. At the beginning of a play, the ball is 80 yards from the goal line. On the first play, the ball moves 34 yards closer to the goal line thanks to an excellent passing play. However, on the next three plays, the wolves lose 1,5, and 3 yards respectively. How far away from the goal line is the ball after these plays?

Select one:

a.
43 yards


b.
37 yards


c.
55 yards


d.
60 yards

Using the long division method, it is proved that (x + 2) is a factor of (x³ + 8), because the result of the remainder is 0.

To show that (x + 2) is a factor of (x³ + 8) using long division, we can divide (x³ + 8) by (x + 2) and see if the remainder is 0. If the remainder is 0, then (x + 2) is a factor of (x³ + 8). Here's how the long division would look:

        x² - 2x + 4

x+2 | x³ + 0x² + 0x + 8

      - (x³ + 2x²)

    --------------------

         -2x² + 0x + 8

       - (-2x² - 4x)

         ---------------

              4x + 8

            - (4x + 8)

              --------

                 0

Since the remainder is 0, we can conclude that (x + 2) is a factor of (x³ + 8).

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. There are no other edges or lines connecting the nodes since the diagonal relation only holds for the self-loops.

To draw the Hasse diagram for the diagonal relation on the set S = {x, y, z}, we need to represent the elements of S as nodes and draw an upward-directed line between two nodes if and only if the diagonal relation holds between them.

In this case, the diagonal relation states that an element is related to itself. Therefore, each element in S will have a self-loop.

The Hasse diagram for the diagonal relation on S = {x, y, z} would look like this:

    x

   / \

  y   z

In this diagram, each element (x, y, and z) is represented as a node, and there is a self-loop on each node since each element is related to itself in the diagonal relation

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The probability that 3 out of the 4 captured elk have been tagged is approximately 0.0053.

We can use the concept of combinations.

The total number of ways to choose 4 elk out of 24 is given by the combination formula:

C(24, 4) = 24! / (4!(24-4)!) = 10,626

Now, we need to consider the number of ways to choose 3 tagged elk out of the 8 tagged elk and 1 untagged elk. The number of ways to do this is given by:

C(8, 3) * C(1, 1) = 8! / (3!(8-3)!) * 1! / (1!(1-1)!) = 56

Therefore, the probability that 3 out of the 4 captured elk have been tagged is:

P = (Number of ways to choose 3 tagged elk out of 8 tagged elk and 1 untagged elk) / (Total number of ways to choose 4 elk out of 24)

P = 56 / 10,626

Calculating this division gives us the probability:

P ≈ 0.0053

So, the probability that 3 out of the 4 captured elk have been tagged is approximately 0.0053 .

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According to the Empirical Rule, which applies to bell-shaped distributions, almost all of the data falls within three standard deviations of the mean.

The Empirical Rule states that in a bell-shaped distribution, approximately 68% of the data falls within one standard deviation of the mean, about 95% falls within two standard deviations, and almost all (around 99.7%) falls within three standard deviations. Given a range of prices from $10.67 to $25.12, which covers around 99.7% of the data, we can approximate the standard deviation by dividing the range by six (three standard deviations on each side) and multiplying it by a scaling factor of 0.9545. The calculation yields a standard deviation of approximately 2.4.

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By definition, the zeros of the quadratic function f(x) = x² - 2x - 2 are 2.732 and -0.732.

The points where a polynomial function crosses the axis of the independent term (x) represent the so-called zeros of the function.

That is, the zeros represent the roots of the polynomial equation that is obtained by making f(x)=0.

In summary, the roots or zeros of the quadratic function are those values ​​of x for which the expression is equal to 0. Graphically, the roots correspond to the abscissa of the points where the parabola intersects the x-axis.

In a quadratic function that has the form:

f(x)= ax² + bx + c

the zeros or roots are calculated by:

\(x1,x2=\frac{-b+-\sqrt{b^{2} -4ac} }{2a}\)

The quadratic function is f(x) = x² - 2x - 2

Being:

the zeros or roots are calculated as:

\(x1=\frac{-(-2)+\sqrt{(-2)^{2} -4x1x(-2)} }{2x1}\)

\(x1=\frac{2+\sqrt{4 +8} }{2}\)

\(x1=\frac{2+\sqrt{12} }{2}\)

\(x1=\frac{2+3.464}{2}\)

\(x1=\frac{5.464}{2}\)

x1= 2.732

and

\(x2=\frac{-(-2)-\sqrt{(-2)^{2} -4x1x(-2)} }{2x1}\)

\(x2=\frac{2-\sqrt{4 +8} }{2}\)

\(x2=\frac{2-\sqrt{12} }{2}\)

\(x2=\frac{2-3.464 }{2}\)

\(x2=\frac{-1.462 }{2}\)

x2= -0.732

Finally, the zeros of the quadratic function f(x) = x² - 2x - 2 are 2.732 and -0.732.

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Answer:

I didn’t know if I was solving for x or for y but I believe that the answer is x=75-y

Step-by-step explanation:

Solve by simplifying both sides of the equation, then isolating the variable.

Answer:

Step-by-step explanation:

The denominator should be the initial value of 18.

Answer:

358,358,358,359,363,363,364,366

Step-by-step explanation:

When 3 is the input, the output is 10. When 10 is the input, the output is 15.

It should be noted that the input for the function is time, measured in hours. The output of the function is energy usage, measured in kilo watts.

From the information, the energy usage of a light bulb is a function. The input for the function is time measured in hours. The output of the function is energy usage, measured in Kilo watts. E (energy) is a function of t (time).

The graph of the function will show energy usage on the y axis and time on the x axis.

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The correct option is b. the cross elasticity of demand between these two products is positive.

The given scenario implies a positive cross elasticity of demand between the two products. When the price of product A decreases by 1 percent, there is a 3 percent increase in the sales of product B. This indicates that the products are related, but not necessarily substitutes or complements. If the two products were substitutes, a decrease in the price of product A would lead to a decrease in demand for product B. Conversely, if the two products were complements, a decrease in the price of product A would lead to an increase in the demand for product A and a decrease in the demand for product B. Therefore, the correct option is (b).

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Step-by-step explanation:

-1/4, -1/5, -1/6, -1/7, -1/8, 1/8, 1/7, 1/6, 1/5, 1/4

Answer:

19 km/h

Step-by-step explanation:

average speed = total distance / total time

in this case it will be 57/3 = 19 km/h

The effect estimation requires more than simple regressions of "Quality of Care" on "Shift Hours" (Part 1) or with "Hospital Characteristics" (Part 2). Including "Tiredness" (Part 3) or using variable (Part 5) is necessary.

To estimate the causal effect of changing shift hours on quality of care, several factors must be considered. Regression analysis with just a constant and "Shift Hours" (Part 1) fails to account for confounding variables, leading to biased estimates. Including "Hospital Characteristics" (Part 2) still overlooks omitted variable bias and endogeneity issues.

However, by adding "Tiredness" to the regression (Part 3), the direct and indirect effects of shift hours on quality of care can be estimated. The coefficient of "Shift Hours" represents the direct causal effect, while the coefficient of "Tiredness" captures the mediating effect. Regressing "Quality of Care" solely on "Policy" (Part 4) neglects confounders.

When "Hospital Characteristics" are unobserved, instrumental variable estimation (Part 5) can address endogeneity by identifying an instrumental variable unrelated to quality of care but affecting shift hours.

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The center and the radius of the circle of equation 3x² + 3y² + 12x + 18y - 36 = 0 are given as follows:

A. (-2, -3), r = 5.

The equation of a circle of center \((x_0, y_0)\) and radius r is given by:

\((x - x_0)^2 + (y - y_0)^2 = r^2\)

The equation of the circle in this problem is given as follows:

3x² + 3y² + 12x + 18y - 36 = 0

Simplifying by 3, we have that:

x² + y² + 4x + 6y - 12 = 0.

Completing the squares, we have that:

x² + 4x + y² + 6y = 12

(x + 2)² + (y + 3)² = 12 + 2² + 3²

(x + 2)² + (y + 3)² = 25.

Hence the correct option is given by option A.

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Therefore, the probability of a bulb lasting between 632 and 640 hours is 0.0455 (or 4.55%).

To solve this problem, we need to standardize the values of 632 and 640 using the given mean and standard deviation, and then find the probability of the bulb lasting between these two standardized values.

Let X be the lifetime of a light bulb. We know that X ~ N(μ = 600, σ = 25).

Let Z be the standardized normal variable, given by:

Z = (X - μ) / σ

Substituting the values, we get:

Z632 = (632 - 600) / 25 = 1.28

Z640 = (640 - 600) / 25 = 1.60

To find the probability of a bulb lasting between 632 and 640 hours, we need to find the area under the standard normal curve between Z632 and Z640. We can use a standard normal table or a calculator to find this area.

Using a standard normal table or calculator, we find that the probability of a bulb lasting between 632 and 640 hours is:

P(1.28 < Z < 1.60) = P(Z < 1.60) - P(Z < 1.28)

From the standard normal table, we find that P(Z < 1.60) = 0.9452 and P(Z < 1.28) = 0.8997. Therefore,

P(1.28 < Z < 1.60) = 0.9452 - 0.8997 = 0.0455 (rounded to four decimal places)

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Answer:

a. x(2+3x)b.x= 0, −2/333. a. 2x2(3x−1) b.x= 0, 1/335. a. (x−1)(x−7)b.x= 1, 7 37. a. (x−3)(x+4)b.x= 3, −439. a.

Step-by-step explanation:

Answer:

it's either 6 or -6 because if uts Like negative and positive then it should be either one of those

Answer:

Step-by-step explanation:

34

Answer:

x + 6

Step-by-step explanation:

5x-3(x-2)-x

5x-3x+6-x

5x-3x-x+6

x+6

The volume of water in the ocean is estimated to be approximately 1,332,000,000,000,000,000 liters.

The Earth's oceans cover about 71% of the planet's surface and contain a vast amount of water. To calculate the volume of water in the ocean, we need to consider the average depth and the total surface area of the oceans.

The average depth of the ocean is estimated to be around 3,800 meters. The total surface area of the oceans is approximately 361,900,000 square kilometers. By multiplying the average depth by the surface area, we can find the volume of water.

Volume = Average Depth × Surface Area

Using the given values, we have:

Volume = 3,800 meters × 361,900,000 square kilometers

To convert this volume to liters, we need to consider that 1 cubic meter is equal to 1,000 liters. Therefore, we can multiply the volume in cubic meters by 1,000 to obtain the volume in liters.

Calculating the above expression, we find that the volume of water in the ocean is approximately 1,332,000,000,000,000,000 liters. This is an estimation and may vary slightly depending on the sources and assumptions used for average depth and surface area calculations.

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The 98% confidence interval for the population mean (μ) is approximately (2.711, 3.009).

1: Identify the given data

Sample size (n) = 150 students

Sample mean (x) = 2.86

Population standard deviation (σ) = 0.78

Confidence level = 98%

2: Find the critical z-value (z*) for a 98% confidence level

Using a z-table or calculator, you'll find that the critical z-value for a 98% confidence level is 2.33 (approximately).

3: Calculate the standard error (SE)

SE = σ / √n

SE = 0.78 / √150 ≈ 0.064

4: Calculate the margin of error (ME)

ME = z* × SE

ME = 2.33 × 0.064 ≈ 0.149

5: Construct the confidence interval

Lower limit = x - ME = 2.86 - 0.149 ≈ 2.711

Upper limit = x + ME = 2.86 + 0.149 ≈ 3.009

The 98% confidence interval is approximately (2.711, 3.009).

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Answer:

Step-by-step explanation:

C the probability that a customer buys a hat given that the customer has bought a sweater.

Answer:

Step-by-step explanation:

\(2 \frac {1}{3}+\frac{5}{6}\\=\frac{7}{3}+\frac{5}{6}\\=\frac{14+5}{6}\\=\frac{19}{6}\\=3 \frac{1}{6}\)

Answer:

the correct answer is 3 1/6

Step-by-step explanation:

2 1/3 + 5/6 = 3 1/6

The required probability of spinning A is 25% as of the given conditions.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,

A circle is divided into 8 equal parts,
The percentage of each part is given as,
= 100/8
= 12.5%

Now,
Each section is named after A, B, and C
We have 2A, 3B and 3C

The probability of spinning A is given as,
= 2 / 8
= 1/4
= 0.25 or 25%

Thus, the required probability of spinning A is 25% as of the given conditions.

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Answer:

840cm^2

Step-by-step explanation:

Volume: Area of cross section x length

Area of cross section:(15 x 8 + 4x 5 )

length: 6

So volume:

(15 x 8 + 4x 5 ) x 6 = 120 + 20 X 6 = 140x6 = 840cm^2.

Hope this helps.

Good Luck

Answer:

3 (v+4w)

Step-by-step explanation:

you could factor out 3 which is a whole number greater than 1.

i hope this help!

At sunrise, shadows are longest and point towards the west as the sun rises in the east. Therefore, the correct order would be:

Longest shadows of the day, and they point to the west → shadows gradually become shorter → very short shadows or no shadows → shadows gradually become longer → longest shadows of the day, and they point to the east.

As the sun moves across the sky, shadows change in length and direction, reaching their shortest length at noon when the sun is directly overhead. After noon, the sun starts to move towards the west, and shadows gradually become longer until sunset when they are longest again, but this time pointing towards the east as the sun sets in the west.

Therefore, correct order of descriptions of shadows during the day, from sunrise to sunset, would be:

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See text below



How do shadows change during the day?

Drag and drop the descriptions of shadows to show the correct order, from sunrise to sunset.

longest shadows of the day, and they point to the west

longest shadows of the day, and they point to the east

shadows gradually become shorter

very short shadows or no shadows

shadows gradually become longer

9514 1404 393

Answer:

  3

Step-by-step explanation:

The center square must be the middle digit of two 3-digit squares. Those squares must begin with an odd number (the units digit of a 2-digit prime).

The possible 3-digit squares that have a middle digit shared with another 3-digit square are ...

  121, 324, 529, 729  and  169, 361, 961

The squares cannot end in 9, because there would be no 2-digit numbers satisfying 4 Down and 5 Across in those cases. The squares sharing middle digit 6 don't work because the only square starting with 1 is even (16), meaning there is no matching prime starting with 1.

After these eliminations, we're down to ...

So, the choices for square 1 are the leading digits of 2-digit primes such that x1 and x3 are both primes. This is the case for x=1, 4, and 7.

That is, there are exactly 3 solutions. The above list, together with ...

Answer:

it's nothing ur suppouse to do nothing.....

Step-by-step explanation:

it's imposiable so nothing :)

Answer:

2

Step-by-step explanation:

Scale factor is \(2:1\)

A parallelogram is a quadrilateral in which opposite sides are parallel.

Also, opposite sides of a parallelogram are equal.

Find scale factor of the sides in parallelograms \(PQRS,KLMN\),

\(PS:KN=18:9\)

               \(=\boldsymbol{2:1}\)

\(RS:MN=42:21\)

               \(=\boldsymbol{2:1}\)

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