Jordan bikes 8 2/3 miles per hour. How many miles will he bike in 2/3 hour?

Answer:

The one in the top left corner I THINK

Step-by-step explanation:

It is on baisically the same line and makes the most sense to ME.

DO NOT PICK ME IF YOU ARE NOT SURE!!!

Answer:

311.02

Step-by-step explanation:

311.017 rounds to 311.02

Answer:

311.0200 thai is the answer because you are rounding to the nearest hundredths

c = (1/2) * ln[(1/3) * (e^(8) - e^(2) + 2)]

To find a value c in [1, 4] such that f(c) is equal to the average value of f(x) = e^(2x) + 1 on [1, 4], we need to use the Mean Value Theorem. The Mean Value Theorem states that if f is continuous on the closed interval [a,b] and differentiable on the open interval (a,b), then there exists a number c in (a,b) such that f'(c) = (f(b) - f(a))/(b-a).

First, we need to find the average value of f(x) on [1, 4]. The average value of a function on an interval [a,b] is given by:

Average value = (1/(b-a)) * ∫[a,b] f(x) dx

In this case, a = 1, b = 4, and f(x) = e^(2x) + 1. So the average value is:

Average value = (1/(4-1)) * ∫[1,4] (e^(2x) + 1) dx

= (1/3) * (e^(8) - e^(2) + 3)

Next, we need to find a value c in [1, 4] such that f(c) = average value. So we need to solve the equation:

e^(2c) + 1 = (1/3) * (e^(8) - e^(2) + 3)

Simplifying and rearranging terms gives us:

e^(2c) = (1/3) * (e^(8) - e^(2) + 2)

Taking the natural logarithm of both sides gives us:

2c = ln[(1/3) * (e^(8) - e^(2) + 2)]

Finally, we can solve for c:

c = (1/2) * ln[(1/3) * (e^(8) - e^(2) + 2)]

This is the value of c in [1, 4] such that f(c) is equal to the average value of f(x) on [1, 4].

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The slope of the curve y = x^3 at point P(2, 8) is 12.

To find the slope of the curve y = x^3 at point P with coordinates (2, 8), we need to determine the derivative of the function and then evaluate it at x = 2.

Step 1: Find the derivative of the function y = x^3.
The derivative, dy/dx, represents the slope of the curve. To find the derivative of y = x^3, apply the power rule: d(x^n)/dx = n * x^(n-1).
So, dy/dx = 3 * x^(3-1) = 3x^2.

Step 2: Evaluate the derivative at the given point P (2, 8).
To find the slope at point P, substitute the x-coordinate (2) into the derivative: 3 * (2)^2 = 3 * 4 = 12.

Thus, the slope of the curve y = x^3 at point P(2, 8) is 12.

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Ana spent a total of $6.21 on the gallon of milk, bagels, and cereal combined.

Let's start by finding the cost of one item. Ana purchased a gallon of milk for $2.87, bagels for $1.30, and a box of cereal for $2.04. To find the cost of one item, we can divide the total cost of each item by the number of items purchased. Ana purchased one gallon of milk, one package of bagels, and one box of cereal, so the cost of one item is:

Milk: $2.87 ÷ 1 = $2.87

Bagels: $1.30 ÷ 1 = $1.30

Cereal: $2.04 ÷ 1 = $2.04

Now that we know the cost of one item, we can use the unitary method to find the total cost of all the items. To do this, we simply multiply the cost of one item by the total number of items purchased. In this case, Ana purchased one of each item, so the total cost is:

Total cost = (Cost of milk per item x Number of milk) + (Cost of bagels per item x Number of bagels) + (Cost of cereal per item x Number of cereal)

Total cost = ($2.87 x 1) + ($1.30 x 1) + ($2.04 x 1)

Total cost = $2.87 + $1.30 + $2.04

Total cost = $6.21

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The length of Stan's movie is 2 hours 25 minutes

The length of Talia's movie is 2 hours 55 minutes.

In order to determine the length of the movies, subtract the end time of the movie from the time the movie started.

Subtraction is the mathematical operation that is used to calculate the difference between two or more numbers. The sign that is used to represent subtraction is -.

Length of the movie = time the movie ended - time the movie started

Length of Stan's movie = 9:40 - 7:15 = 2 : 25 hours

Length of the Talia's movie = 10 : 10 - 7 : 15 = 2 : 55 hours

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Approximately 31.7 people signed up for both yoga and aerobics.

What is probability?

Probability is the study of the chances of occurrence of a result, which are obtained by the ratio between favorable cases and possible cases.

Let's define the following events:

Event A: a person signed up for yoga.

Event B: a person signed up for aerobics.

P(A) = 92/756

P(B) = 113/756

P(neither A nor B) = 575/756

We can use the following formula:

P(A and B) = P(A) + P(B) - P(A or B)

We can calculate P(A or B) as:

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 92/756 + 113/756 - P(A and B)

P(A or B) = 205/756 - P(A and B)

P(neither A nor B) = 1 - P(A or B)

Substituting in the calculated value for P(A or B), we get:

575/756 = 1 - (205/756 - P(A and B))

575/756 = 551/756 + P(A and B)

P(A and B) = 24/756

P(A and B) ≈ 0.0317

Therefore, approximately 31.7 people signed up for both yoga and aerobics.

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The equation defines function f is f(x) = - 1/4 x + 2.

To find the equation of function f, we need to eliminate the constant term of 14 in the equation y = f(x) + 14.

One way to do this is to subtract 14 from both sides of the equation:

y - 14 = f(x)

Now we can compare this with the given options for f(x):

A. f(x) = - 1/4 * x - 12

B. f(x) = - 1/4 * x + 16

C. f(x) = - 1/4 * x + 2

D. f(x) = - 1/4 * x - 14

We see that option C matches our equation: y - 14 = f(x) = - 1/4 x + 2. Therefore, the answer is:

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C

In the second to last step, you end up with -x ≤ 13, but x can't be negative, so the sign is flipped, turning x positive and 13 negative, leaving us with x ≥ -13, which is why the line goes right.

Inequalities help us to compare two unequal expressions. The correct option is C.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

The given inequality can be solved as shown below.

(-1/4)(12x+8) ≤ -2x + 11

-3x - 2 ≤ -2x + 11

-3x + 2x ≤ 11 + 2

- x ≤ 13

x ≥ -13

Hence, the correct option is C.

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Answer:

24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

The median is the number in the middle. So first we order these numbers up which is:

2  15  16  23  24  25  25  26  34

Next we see in the middle we have 24, since there is four numbers on either side.

Answer:

C

Step-by-step explanation:

If you take 4% away from 350,000, it equals 336000. Divide this number by 350000, and you get 96%, which makes sense. But, if you take 4% away from 336000, it equals 322560. If you take 322560 divided by 350000, it equals 92.16%. This proves it is not linear, because if it was linear, the ending percentage would be exactly 92% since you took away 4% twice.

Answer:

100,000,000,000,000

The required canoeist's paddling rate in calm water is 3 mph.

Let's denote the canoeist's paddling rate in calm water as "x" mph.

When the canoeist paddles upstream against the current, their effective speed is the difference between their paddling rate and the current's rate, or (x - 3) mph. The distance traveled upstream is also 8 miles.

Using the formula:

distance = rate x time

We can set up two equations based on the distance traveled and the effective speed for each leg of the trip:

Downstream leg: 8 = (x + 3) * t1

Upstream leg: 8 = (x - 3) * t2

Since the total time for the round trip is 2 hours, we know that:

t1 + t2 = 2

Now we can solve for x by substituting t1 = 8/(x+3) and t2 = 8/(x-3) into the equation above:

8/(x+3) + 8/(x-3) = 2

Multiplying both sides by (x+3)(x-3) gives:

8(x-3) + 8(x+3) = 2(x+3)(x-3)

Simplifying this expression gives:

16x = 48

x = 3

Therefore, the canoeist's paddling rate in calm water is 3 mph.

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We should examine 10.3093 invoices until we get one that begins with an 8 or 9.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has included probability to forecast the likelihood of certain events.

Given,

p = 0.097

The number of independent trials required until the first success is distributed geometrically.

The expected number (or the mean) of a geometric variable is the reciprocal of the probability p:

μ = 1/p = 1/0.097 ≈ 10.3093

Hence, it is expected to examine about invoices until you achieve your first success, which is an invoice starting with an 8 or 9.

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Answer:

\(\frac{1}{\sqrt{3} }\)

Step-by-step explanation:

A unit circle is defined as a circle of unit radius (that is the radius of the circle is equal to 1). In trigonometry, the unit circle is a circle with a radius of 1, while centered at the origin (0, 0) in the Cartesian coordinate.

In the unit circle below, we can see that the line touches the unit circle at point \((\frac{\sqrt{3} }{2} ,\frac{1}{2})\), therefore to find the tangent of theta, we use the formula:

\(tan\theta = \frac{y}{x} \\\\tan\theta=\frac{\frac{1}{2} }{\frac{\sqrt{3} }{2} } =\frac{1}{2}*\frac{2}{\sqrt{3} } \\\\tan\theta=\frac{1}{\sqrt{3} }\)

Answer:

StartFraction StartRoot 3 EndRoot Over 3 EndFraction

Step-by-step explanation:

I think thats what the answer above meant.

\(y {}^{2} + 3 {}^{2} = 5 {}^{2} \)

\(y {}^{2} = 25 - 9 = 16\)

\(y = \sqrt{16} = 4\)

\(x ^{2} = {y}^{2} + 7 {}^{2} \)

\(x {}^{2} = 4 {}^{2} + 7 {}^{2} \)

\(x {}^{2} = 16 + 49\)

\(x {}^{2} = 65\)

\(x = \sqrt{65} \)

Answer:

For the particle to move to the right, 0 ≤ t ≤ a

Step-by-step explanation:

The particle under motion on the x-axis given by the equation x(t) = 12(a−t)² for t ≥ 0, where a is a positive constant.

To find the values of t for which the particle is moving to the right, this implies that the particle must move along the positive x-axis. This implies that x(t) ≥ 0.

So, to find the value of t for which the particle moves to the right, we solve the inequality x(t) ≥ 0 ⇒ 12(a−t)² ≥ 0

12(a−t)² ≥ 0

(a−t)² ≥ 0

taking square root of both sides, we have

√(a−t)² ≥ √0

(a−t) ≥ 0

a ≥ t ⇒ t ≤ a

So, for the particle to move to the right, 0 ≤ t ≤ a.

Using derivatives, it is found that the particle is moving to the right for \(t > a\), that is, values of t in the interval \((a, \infty)\).

A particle is moving to the right if it's velocity is positive.

The position of the particle is given by:

\(x(t) = 12(a - t)^2\)

The velocity is the derivative of the position, hence:

\(v(t) = -24(a - t)\)

If will be positive if:

\(-24(a - t) > 0\)

\(-(a - t) > 0\)

\(-a + t > 0\)

\(t > a\)

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Answer: 72 inches

Step-by-step explanation:

We know there are 6 rulers side to side. Each ruler is 1 foot, which is equal to 12 inches. We can multiply 12 and 6, since there are 12 inches per 6 rulers.

12 × 6 = 72, so there are supposed to be 72 inches total

Six one foot rulers laid end to end reach option D. 72 inches.

Measurement is the method of comparing the properties of a quantity or object using a standard quantity.

Measurement is essential to determine the quantity of any object.

Given that

Six one-foot rulers laid end to end.

Total number of rulers placed end to end = 6

Measure of each ruler = 1 foot

Measure of 6 rulers = 6 × 1 = 6 feet

We have the conversion,

1 foot = 12 inches

6 feet = 12 × 6 = 72 inches

Hence the total length of the rulers which are placed end to end is 72 inches.

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The domain of the function is R - {m} and the range of the function is (-∞, ∞).

We are given a function f: R−{n}→R defined by f(x) = (x-n)/(x-m), where m ≠ n.

To find the domain of the function, we need to consider the values of x for which the denominator (x-m) is zero. Since m ≠ n, we have m - n ≠ 0, and therefore the function is defined for all x except x = m.

Therefore, the domain of the function is R - {m}.

To find the range of the function, we can consider the behavior of the function as x approaches infinity and negative infinity. As x approaches infinity, the numerator (x-n) grows without bound, while the denominator (x-m) also grows without bound, but at a slower rate. Therefore, the function approaches positive infinity.

Similarly, as x approaches negative infinity, the numerator (x-n) becomes very negative, while the denominator (x-m) also becomes very negative, but at a slower rate. Therefore, the function approaches negative infinity.

Thus, we can conclude that the range of the function is (-∞, ∞).

In summary, the domain of the function is R - {m} and the range of the function is (-∞, ∞).

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Answer:yes

Step-by-step explanation:

Answer:

1/18.

Step-by-step explanation:

2x^-2 y^-2

x= 3 and y = –2?

Answer is 2(3)^-2 * (-2)^-2

= 2/(3)^2 * 1/(-2)^2

= 2/9 *  1/4

= 2/36

= 1/18.

Answer:

1. this is alwas true since points x and y are in plane z the line cntatining

Based on the graph, in year 4 there were 1.16 times more burglaries if compared to year 1.

Based on the graph, the number of burglaries these years was:

This shows a growing trend in the number of burglaries over the years.

number in year 4/ 1

255/220 = 1.159 which can be rounded to 1.16

Based on this, year 4 had 1.16 times more burglaries than year 1.

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Answer:

6:2

Step-by-step explanation:

Answer:6:2 I hope this is helpful

Step-by-step explanation:

6 apples to 2 mangos is 6:2

There will be 12 combination of  different king-queen.

When grouping objects or figuring out how many subgroups can be created from a given collection of objects, combinations are employed. We also employ permutations to calculate the number of possible combinations of unrelated things.

To determine the number of different king-queen combinations, we need to multiply the number of candidates for king by the number of candidates for queen. In this case, there are four candidates for homecoming queen and three candidates for king.

There are 4 candidates for queen and 3 candidates for king, so:

4 x 3 = 12

Therefore, the total number of different king-queen combinations is 4 multiplied by 3, which equals 12. So, there are 12 different king-queen combinations.

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Step-by-step explanation:

8:15::16:x

8x = 15 x 16

8x = 240

x = 240/8

x = 30

Answer:

Lonnie is incorrect because the ratio is 6:5 and not 16:5.

Step-by-step explanation:

First, create a ratio comparing the number of boys to girls:

42:35

This can be simplified since both numbers are divisible by 7:

42:35

Divide each number by 7:

6:5

So, Lonnie is incorrect because the ratio is 6:5 and not 16:5.

Answer:

incorrect i think

Step-by-step explanation:

the ration would be 6:5

Answer:

\(-3(2 + 4k) + 7(2k)\) = \(2k - 6\) or \(2(k - 3)\)

Step-by-step explanation:

The question seem incomplete; however, the given parameter is assumed as

\(-3(2 + 4k) + 7(2k)\)

Required

Simplify

\(-3(2 + 4k) + 7(2k)\)

Start by opening the brackets

\(-3*2 -3* 4k + 7*2k\)

\(-6 -12k +14k\)

Collect Like Terms

\(-6 -12k +14k\)

\(-6 + 2k\)

Reorder the above expression

\(2k - 6\)

The answer can be further simplified as

\(2(k - 3)\)

Hence;

\(-3(2 + 4k) + 7(2k)\) = \(2k - 6\) or \(2(k - 3)\)

The possible values of X are that if n is even X can takes even integers from [-n, n], and if n is odd, X can takes odd integers from [-n, n]

To solve this question, we can use X to represents the difference between the number of heads and the number of tails obtained when a coin is tossed X times, the possible values of X are now obtained below:

Let H be the no. of heads and T be the no. of tails, since the coin is tossed n times, we have:

H+T=n

now, X = H-T ,

X=H-(n-H)

X=2H-n

Now,

H takes values {0,1,2,3 ......,n-2, n-1,n}

2H takes values {0,2,4,6,.....,2n-4,2n-2,2n}

2H - n takes values {-n,-(n-2),-(n-4), -(n-6),.............,n-4, n-2,n}

X takes values {-n,-(n-2), -(n-4),-(n-6),.............,n-4, n-2, n}

therefore, if n is even X can takes even integers from [-n, n]

and, if n is odd, X can takes odd integers from [-n, n]

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