Joe Tyson is the place kicker for his college football team. Last season he kicked 38 times and never missed. Each field goal is worth 3 points and each point after a
touchdown is worth 1 point Joe eamed a total of 70 points last season Joe Kicked 22 field goals last season
A. True

B. False

The height of the conical bottle is 16 cm.

Let's denote the height of the conical bottle as h.

When the bottle is in its regular position, with the base resting on the flat surface, the water level is 8 cm from the vertex. This means that the distance from the water level to the base is 8 cm.

When the bottle is turned upside down, the water level is 2 cm from the base. In this position, the distance from the water level to the vertex is h - 2 cm.

We can set up a proportion based on the similar triangles formed by the original and inverted positions of the bottle:

(h - 2) / 8 = h / (h - 8)

To solve this proportion, we can cross-multiply:

(h - 2)(h - 8) = 8h

Expanding the equation:

h^2 - 10h + 16 = 8h

Rearranging the terms:

h^2 - 18h + 16 = 0

Now we can solve this quadratic equation using factoring, completing the square, or the quadratic formula. In this case, let's use factoring:

(h - 2)(h - 16) = 0

This equation has two possible solutions:

h - 2 = 0 --> h = 2

h - 16 = 0 --> h = 16

Since the height of the bottle cannot be 2 cm (as the water level would be at the base), the height of the bottle must be 16 cm.

Consequently, the conical bottle has a height of 16 cm.

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1.92%   is the probability .

Describe probability using an example?

The probability of an event is the ratio of the size of the event space to the size of the sample space.  

The size of the sample space is the total number of possible outcomes  

The event space is the number of outcomes in the event you are interested in.  

so  

Let

x------> size of the event space

y-----> size of the sample space  

so

  P = x/y

Find out the probability that the first student selected will be left-handed

we have

 x = 6

 y = 40

substitute

 P = 6/40

Simplify

P = 3/20

the probability that the second student selected will be left-handed

we have

    x = 6 - 1  = 4

y = 40 -1 = 39

substitute

 P = 5/39

the probability that the 2 students selected will both be left-handed

Multiply the probabilities

   P = 3/20(5/39)  = 15/780

Convert to percentage

Multiply by 100

15/780 * 100 = 1.92%

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The theoretical probability of randomly selecting 5 students from my schools is 0.00000001237

probability = required outcome / total possible outcomes

Required outcome = 5 students from the 40. Here , we have

40C5 = 65008

Total possible outcomes = 8 students From the total contestants . Here , we have

150C8 = 5257211409450

Hence, selecting 5 students from my school :

P(5 from my school) = 65008/5257211409450

P(5 from my school ) = 0.00000001237

Hence, the theoretical probability is 0.00000001237

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Answer:q = - 9 and r = - 10

Step-by-step explanation:

since g(x) is divided by (x - 1) with remainder - 12, then (1) = 4(1)³ + q(1)² + r + 3 = - 12, that is 4 + q + r + 3 = - 12

q + r + 7 = - 12 ( subtract 7 from both sides )

q + r = - 19 → (1)

Since (x - 3) is a factor of g(x), then

g(3) = 4(3)³ + q(3)² + 3r + 3 = 0, that is

108 + 9q + 3r + 3 = 0

9q + 3r + 111 = 0 ( subtract 111 from both sides )

9q + 3r = - 111 → (2)

The 2 equations to be solved simultaneously are (1) and (2)

Multiply (1) by - 3

- 3q - 3r = 57 → (3)

Add (2) and (3) term by term to eliminate r

6q = - 54 ( divide both sides by 6 )

q = - 9

Substitute q = - 9 into (1)

- 9 + r = - 19 ( add 9 to both sides )

r = - 10

Hope the helps!!! ❤️

The vertical asymptotes for the given function are x = 4 and x = -4.`Therefore, Student A is correct in their approach and final answer.

Given the rational function is `f(x) = (x + 3) / (x² - 16)`.To find the vertical asymptote for the given rational function `f(x) = (x + 3) / (x² - 16)` for four students and to identify who is correct in their approach and final answer, first, we have to find the vertical asymptote of the given function. We know that the vertical asymptotes occur at the zeroes of the denominator when the numerator is not zero. Thus, the denominator must equal zero at `x = -4` and `x = 4`. So, the vertical asymptotes occur at `x = -4` and `x = 4`.Hence, the correct approach and final answer for vertical asymptote of the given rational function is Student A.  Student A: `The vertical asymptotes are the vertical lines that indicate where the function becomes unbounded. These lines occur when the denominator of the rational function is zero and the numerator is not zero.

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The question asks for four students determined the vertical asymptote for this rational function. The correct approach and answer is needed.

Therefore, the correct student's answer is (D) which indicates there are three vertical asymptotes at x = –2,

x = 1, and

x = 4.

Let's find the answer to the question: To find the vertical asymptote of the rational function, we need to find out when the denominator is equal to zero. We can factor the denominator, so we have (x + 2) (x – 1) (x – 4). The denominator will be equal to zero when any of the three factors are equal to zero:

(x + 2) = 0

(x – 1) = 0,

or (x – 4) = 0.

Solving each equation, we find the following values for x:

x = –2,

x = 1,

and x = 4

Therefore, the correct student's answer is (D) which indicates there are three vertical asymptotes at x = –2,

x = 1, and

x = 4.

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Answer:

cosx= 35. Use Trignometrical identity cosx = √1−sin2x . cos x = √1−1625 = √925 = 35 to be the ...

Missing: =0.82 ‎| Must include: =0.82

Step-by-step explanation:

The total cost of buying three ABC bonds is $3,870.

The cost of buying three ABC bonds with a $10 commission for each is $430.

The face value of each ABC bond is $1,000. The yield is 7.5%. The current price is 128. This means that each bond costs $1,280.

The total cost of buying three ABC bonds is $3,840. The commission for each bond is $10. So, the total commission is $30.

The total cost of buying three ABC bonds is $3,840 + $30

= $3,870.

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Answer:

  y = (4 -x)e^-2

Step-by-step explanation:

You want an equation of the tangent line to the graph of f(x) = xe^−x at its inflection point.

The inflection point on a curve is the point where the second derivative is zero, where the curve changes from being concave downward to concave upward, or vice versa.

We can use the product rule to differentiate f(x):

  (uv)' = u'v +uv'

  f'(x) = 1·e^-x +x·(-1)(e^-x) = (e^-x)(1 -x)

Then the second derivative is ...

  f''(x) = (-e^-x)(1 -x) +(e^-x)(-1) = (e^-x)(x -2)

The second derivative is zero where one of its factors is zero. e^-x is never zero, so we have ...

  (x -2) = 0   ⇒   x = 2

The point of inflection occurs at x = 2.

The point-slope equation of the line with slope m through point (h, k) is ...

  y -k = m(x -h)

For this problem, we have ...

  m = f'(2) = (e^-2)(1 -(2)) = -e^-2

  (h, k) = (2, f(2)) = (2, 2e^-2)

So, the equation of the tangent line is ...

  y -2e^-2 = -e^-2(x -2)

In slope-intercept form, this is ...

  y = (-e^-2)x +4e^-2

__

Additional comment

We can rearrange the equation to ...

  y = (4 -x)e^-2

Usually a tangent line touches the graph, but does not cross it. The tangent at the point of inflection necessarily crosses the graph.

It can be expressed as ||x - x'|| / ||x||, where x' is the perturbed vector.

The assignment deals with estimating the condition number of a matrix A, denoted as k(A). The condition number is typically calculated as the norm of matrix A, denoted as ||A||, multiplied by the norm of the inverse of A, denoted as ||A^(-1)||.

There are different norms that can be used for vectors and matrices. The norm for a vector x is defined as ||x||p, where p is an element of the set of integers Z. The matrix norm is defined as ||A|| = max(||Ax||), where x is a vector and ||x|| = 1.

Since calculating the exact condition number of a matrix A can be computationally expensive, an estimation method is used. The estimation process involves the following steps:

Decompose the matrix A into its LU form using Gauss elimination without pivoting. This step helps in simplifying the subsequent calculations.

Choose a vector b and solve the equation A + b = e, where e is a vector with all elements equal to 1. The vector b is chosen in such a way that it maximizes the value of ||A^(-1)||. The choice of +1 or -1 for each element of b helps achieve this maximization.

Solve the equation Ar = b to obtain the vector x.

The estimated condition number, denoted as K(A), can be calculated as the norm of the difference between x and a vector obtained by perturbing x, divided by the norm of x. Mathematically, it can be expressed as ||x - x'|| / ||x||, where x' is the perturbed vector.

This estimation method provides an approximation of the condition number of matrix A, allowing for a more computationally efficient approach compared to calculating the exact value.

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Answer: -3/2

Step-by-step explanation:

The slope of this line is 2/3, so the slope of the line perpendicular will have the opposite reciprocal as a slope, which is -3/2.

Hence, the required value of the line integral is\($\boxed{-84550}$\).

The given line integral is \($\int_{C}xyz ds$\), where the given curve C is \($x=8\sin t$, $y=t$, $z=-8\cos t$, $0\leq t\leq \pi$\).

Formula to evaluate line integral:\($$\int_{C}f(x,y,z)ds = \int_{a}^{b}f(x(t),y(t),z(t))\sqrt{\left(\frac{dx}{dt}\right)^2+\left(\frac{dy}{dt}\right)^2+\left(\frac{dz}{dt}\right)^2} dt$$Here, $f(x,y,z) = xyz$, $x(t)=8\sin t$, $y(t)=t$, $z(t)=-8\cos t$, $a=0$, $b=\pi$.\)

Hence, we have\($$\begin{aligned}\int_{C}xyz ds &= \int_{0}^{\pi} (8\sin t)(t)(-8\cos t)\sqrt{\left(\frac{dx}{dt}\right)^2+\left(\frac{dy}{dt}\right)^2+\left(\frac{dz}{dt}\right)^2} dt \\ &= \int_{0}^{\pi} (-64\sin t\cos t)(t)\sqrt{(8\cos t)^2+1^2+(-8\sin t)^2} dt \\ &= -64\int_{0}^{\pi} t\sin t\cos t\sqrt{64\cos^2t+64\sin^2t+1} dt\end{aligned}$$Let $u=64\cos^2t+64\sin^2t+1=65$, $du = 0$. When $t=0$, $u=65$, and when $t=\pi$, $u=65$\)

Hence, we have\($$\begin{aligned}& \int_{C}xyz ds = -64\int_{0}^{65} \left(\frac{t}{2}\right)\sqrt{u}\left(\frac{du}{32}\right) \\ &= -2\int_{0}^{65} t\sqrt{u}\ du \\ &= -2\left[\frac{2}{5}u^{\frac{5}{2}}\right]_{0}^{65} \\ &= -\frac{2}{5}(65)^{\frac{5}{2}} \\ &= -\frac{2}{5}(65)(65)^2 \\ &= \boxed{-84550}\end{aligned}$$\)

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Answer:

The answer is -512

Step-by-step explanation

8*8*8= 512 and the cube root of 512 is 8 and the cube root answer is negative so 512 is negative

The mean of the distribution of sample means would be 27 hours, which is the same as the average life of the candles.

This is because the sample means would be expected to be centered around the population mean.

The standard deviation of the distribution of sample means (also known as the standard error of the mean) can be calculated using the formula:

standard deviation of sample means = standard deviation of population / square root of sample size

In this case, the standard deviation of sample means would be:

6 / square root of 4 = 3

So the answer is 3.

So, the mean of the distribution of the sample means would be 3. Your answer: 3.

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Given:

Nuts = $2.50

Cereal mixture = $1

Find -: How much each should be added.

Sol:

Obtain = 60 kg.

Let nuts = x kg

Cereal = y kg

To obtain 60 kg means:

Pricing at $1.90 per kg means:

Put the value of "y" then:

Then the value of "y" is:

So,

In the mixture 36 kg of nuts and 24 kg of cereal.

Answer:

53°

Step-by-step explanation:

all triangles equal to 180°

the right hand angle is a 90° angle plus the 37° gives you 127 to find the answer you have to subtract 180 - 127 hence the answer 53°

37°+ 90° + x° = 180° (Traingle sum property)

127°+ x° = 180°

x° = 180° - 127°

x° = 53°

Hope it helps you.

Answer:

How many terms are in this expression? 18 - 11w + 2

Step-by-step explanation:

∫[4, 6] f(x) dx = ∫[4, 6] (18x - 3) dx = [9x^2 - 3x] evaluated from 4 to 6 = (9(6)^2 - 3(6)) - (9(4)^2 - 3(4)).

∫[0, 2] f(x) dx = ∫[0, 2] (18x - 3) dx = [9x^2 - 3x] evaluated from 0 to 2 = (9(2)^2 - 3(2)) - (9(0)^2 - 3(0)).

E(x) = ∫[0, ∞] x f(x) dx = ∫[0, ∞] x(18x - 3) dx = [3x^3 - (3/2)x^2] evaluated from 0 to ∞ = lim(a→∞) [(3a^3 - (3/2)a^2) - (3(0)^3 - (3/2)(0)^2)].

a) To find the probability that the television set lasts between 4 and 6 years, we need to calculate the integral of the density function f(x) over the interval [4, 6]. Since the density function is given by f(x) = 18x - 3 for 0 ≤ x < 3 and 0 for x ≥ 3, we have:

∫[4, 6] f(x) dx = ∫[4, 6] (18x - 3) dx = [9x^2 - 3x] evaluated from 4 to 6 = (9(6)^2 - 3(6)) - (9(4)^2 - 3(4)).

b) To find the probability that the television set lasts at least 5 years, we need to calculate the integral of the density function f(x) over the interval [5, ∞). However, since the density function is zero for x ≥ 3, the integral over this interval is zero.

c) To find the probability that the television set lasts less than 2 years, we need to calculate the integral of the density function f(x) over the interval [0, 2]. Since the density function is given by f(x) = 18x - 3 for 0 ≤ x < 3 and 0 for x ≥ 3, the integral becomes:

∫[0, 2] f(x) dx = ∫[0, 2] (18x - 3) dx = [9x^2 - 3x] evaluated from 0 to 2 = (9(2)^2 - 3(2)) - (9(0)^2 - 3(0)).

d) To find the probability that the television set lasts exactly 4.18 years, we need to evaluate the density function f(x) at x = 4.18. Plugging in the value of x into the density function, we get f(4.18) = 18(4.18) - 3.

e) To find the expected value of the number of years that the television set lasts, we need to calculate the integral of xf(x) over the entire range of x, which is [0, ∞). The expected value is given by:

E(x) = ∫[0, ∞] x f(x) dx = ∫[0, ∞] x(18x - 3) dx = [3x^3 - (3/2)x^2] evaluated from 0 to ∞ = lim(a→∞) [(3a^3 - (3/2)a^2) - (3(0)^3 - (3/2)(0)^2)].

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Answer:

I would say 7, because if you think about you would know that your answer is 7

Answer:

$5.64 is left for tip.

Step-by-step explanation:

Given that,

The total bill of Julio = $37.60

He leaves a 15% tip.

We need to find the amount Julio left for the tip.​

The left amount can be calculated as follows :

\(L=15\%\ of\ 37.60\\\\=\dfrac{15}{100}\times 37.60\\\\=\$5.64\)

So, Julio left $5.64 for tip.

Answer:

Fantasia's family's car is more fuel-efficient.

Step-by-step explanation:

Given that, Tiyleah's family's car is getting 40 miles per gallon, and Fantasia's family's car uses 7 liters per 150 km.

The comparison can be done by observing the distance traveled by the cars in an equal amount of fuel. The car which covers more distance in an equal amount of fuel is more fuel-efficient.

First, convert the given units to have the same unit of measurement,

As 1 gallon =3.7854 liters and 1 mile = 1.609344 km

So, 40 miles =40 x 1.61=64.40 km

Now, The distance covered by Tiyleah's family's car is 64.40 km in 3.7854 liters.

So, the distance covered by Tiyleah's family's car in 1 liter of fuel is \(\frac{64.40}{3.7854}=17.01\) km

In a similar way,

As Fantasia's family's car uses 7 liters per 150 km.

So, the distance traveled by Fantasia's family's car in 1 liter of fuel =150/7=21.43 km

Observe that, in 1 liter of fuel, Tyleah's family's car covered 17.01 km while Fantasia's family's car covered 21.43 km which is more.

Hence, Fantasia's family's car is more fuel-efficient.

Answer:

4x−7+6y+2x+x+16−3x

=4x+−7+6y+2x+x+16+−3x

Combine Like Terms:

=4x+−7+6y+2x+x+16+−3x

=(4x+2x+x+−3x)+(6y)+(−7+16)

=4x+6y+9

Answer:

=4x+6y+9

Answer:

32h=d

Step-by-step explanation:

yea, this is big brain time lol

also edge lol

Step 1: Write out the inequality

Step 2: Rewrite the inequality as shown below

Step 3: Subtract 29 from both sides of the inequality

Step 4: Graph the solution of the inequality

Hence, the correct option is G

The maximum number of minutes Paige could use her phone each month in order to stay within her budget is 175 minutes.

As per the data given

Paige's budget is $25.50 per month for her total cell phone expenses without taxes.

And her monthly fee is $15.00

And she has a cell phone plan that charges $0.06 per minute.

According to the given question we have to determine the maximum number of minutes Paige could use her phone each month in order to stay within her budget.

Let the maximum number of minutes be 'm'.

According to the question

0.06m + 15 = 25.50

0.06m = 25.50 - 15

0.06m = 10.50

Divide both sides by 0.06

\(\frac{0.06m}{0.06} =\frac{10.50}{0.06}\)

m = \(\frac{1050}{6}\)

m = 175 minutes

Therefore the maximum number of minutes Paige could use her phone each month is 175 minutes.

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To find out how many times a bicycle wheel will turn in going three miles, you need to know the circumference of the wheel. The circumference is the distance around the wheel.

You can use the following formula to calculate the number of wheel rotations:

Number of Wheel Rotations = Distance Traveled / Circumference of the Wheel

1. Determine the circumference of the bicycle wheel. This can be calculated by multiplying the diameter of the wheel by π (pi), which is approximately 3.14159. The diameter is the distance across the wheel passing through its center.

2. Measure the distance you want to travel in miles. In this case, it is three miles.

3. Plug the values into the formula and calculate the number of wheel rotations.

For example, let's assume the diameter of the bicycle wheel is 26 inches. To find the circumference, we multiply the diameter by pi:

Circumference = 26 inches × 3.14159 ≈ 81.68 inches

Now, convert the distance of three miles into inches. Since one mile is equal to 63,360 inches:

Distance Traveled = 3 miles × 63,360 inches/mile = 190,080 inches

Finally, calculate the number of wheel rotations:

Number of Wheel Rotations = 190,080 inches / 81.68 inches ≈ 2,326.37 rotations

Therefore, the bicycle wheel will turn approximately 2,326 times in going three miles.\(\)

Answer:So, if we want to know how many revolutions our wheels have to turn, we divide 200 centimeters by 24.92 centimeters/revolution (remember the circumference is how far the wheel goes in one revolution). The number of revolutions is equal to: 200 cm/24.92 (cm/revolution) = 8.03 revolutions.

Answer:

area of the path alone is 178.98 ft²

Step-by-step explanation:

Since the circular garden is surrounded by a circular path, two circles are formed.

The formula for determining the area of a circle is expressed as

Area = πr²

Where

r represents the radius of the circle.

π is a constant whose value is 3.14

Considering the circular garden,

Radius = 8 ft

Area = 3.14 × 8² = 200.96 ft²

Considering the circular garden and the circular path together,

Radius = 8 + 3 = 11 ft

Area = 3.14 × 11² = 379.94 ft²

Area of the path alone is the circular garden and the circular path together - area of circular path

It becomes

379.94 - 200.96 = 178.98 ft²

To find the selling price that will yield the maximum profit, we need to find the vertex of the quadratic function given by the profit equation y = -5x² + 286x - 2275.The x-coordinate of the vertex can be found using the formula:

x = -b/2a

where a = -5 and b = 286.

x = -b/2a

x = -286/(2(-5))

x = 28.6

So, the selling price that will yield the maximum profit is $28.60 (rounded to the nearest cent).

Therefore, the widgets should be sold for $28.60 to maximize the company's profit.

Hope I helped ya...

Answer:

29 cents

Step-by-step explanation:

The amount of profit, y, made by the company selling widgets, is related to the selling price of each widget, x, by the given equation:

\(y=-5x^2+286x-2275\)

The maximum profit is the y-value of the vertex of the given quadratic equation. Therefore, to find the price of the widgets that maximises profit, we need to find the x-value of the vertex.

The formula to find the x-value of the vertex of a quadratic equation in the form y = ax² + bx + c is:

\(\boxed{x_{\sf vertex}=\dfrac{-b}{2a}}\)

For the given equation, a = -5 and b = 286.

Substitute these into the formula:

\(\implies x_{\sf vertex}=\dfrac{-286}{2(-5)}\)

\(\implies x_{\sf vertex}=\dfrac{-286}{-10}\)

\(\implies x_{\sf vertex}=\dfrac{286}{10}\)

\(\implies x_{\sf vertex}=28.6\)

Assuming the value of x is in cents, the widget should be sold for 29 cents (to the nearest cent) to maximise profit.

Note: The question does not stipulate if the value of x is in cents or dollars. If the value of x is in dollars, the price of the widget should be $28.60 to the nearest cent.

Answer:

√16x/3y

Step-by-step explanation:

√4x^2 = √16x /3y = can't be simplified further