James hiked on two trails. The first trail was l 2/5 miles long, and the second trail was 5 times as long as the first trail. How many miles did James hike?​

Answer:

none of the above is best andwer

The probability of selecting a ball that has an even number from a bag containing 13 balls numbered 1 through 13 is 6/13 or approximately 0.4615. This is because out of the 13 balls, 6 of them have even numbers.

To calculate the probability, we use the formula:

Probability = Number of Favorable Outcomes / Total Number of Outcomes

In this case, the favorable outcomes would be the number of even numbers, which is 6. The total number of outcomes would be 13 (the total number of balls in the bag). Therefore, the probability of selecting a ball that has an even number is 6/13.

Another way to look at this is to think of the probability as the ratio of favorable outcomes to total possible outcomes. In this case, the ratio is 6:13, which can be simplified to 3:6 or 1:2. Since one out of every two outcomes is favorable, the probability is 0.5, which is the same as 6/13.

To further understand the concept of probability, consider the example of a fair coin. If a fair coin is flipped, the probability of getting either heads or tails is 50%. This is because the ratio of favorable outcomes (one head and one tail) to total possible outcomes (two heads and two tails) is 1:2.

In conclusion, the probability of selecting a ball that has an even number from a bag containing 13 balls numbered 1 through 13 is 6/13 or approximately 0.4615.

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Answer: $595

Step-by-step explanation:

First find the number of items he sold.

Digital Cameras:

= Amount received from selling digital cameras / Cost of cameras

= 700 / 175

= 4 cameras

Laptops:

= 2,394 / 399

= 6 laptops

Vacuum cleaners:

= 833 / 119

= 7

Total number of items sold:

= 4 + 6 + 7

= 17 items

He earns $35 on each sale so the total commission is:

= 35 * 17

= $595

SOLUTION

SUM OF ANGLES IN A TRIANGLE = 180 degrees

Answer:

an = 196,608 nth term

Hope it's helped

Answer:

an = -3 • 4^(n - 1)

Step-by-step explanation:

Answer:

x = -3

Hope this helps

Step-by-step explanation:

( (2x*3) + (18*3) ) = 36

(6x + 54) = 36

6x + 54 = 36

6x + 54 - 54 = 36 - 54

6x = -18

6x / 6 = -18 / 6

x = -3

Answer:

Exact Form:

x = ln ( 64 )/ ln ( 5 )

Decimal Form:

x = 2.58405934 …

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

Step-by-step explanation:

Start by dividing both sides by 3

5^x = 192/3

5^x = 64

Now take the log of both sides

log(5^x) = log(64)

Bring down the power

x log(5) = log(64)

Find the logs

x * 0.69897 = 1.8062

Divide

x = 1.8062 / 0.69897

x = 2.5841

(a) The interval on which f is increasing: (0, ∞)

The interval on which f is decreasing: (0, 1)

(b) Local minimum: At x = 1, f(x) has a local minimum value of -1.

There is no local maximum value.

(c) Inflection point: At x ≈ 0.293, f(x) has an inflection point.

The function f(x) = x^2 - x - ln(x) is a quadratic function combined with a logarithmic function.

To find the interval on which f is increasing, we need to determine where the derivative of f(x) is positive. Taking the derivative of f(x), we get f'(x) = 2x - 1 - 1/x. Setting f'(x) > 0, we solve the inequality 2x - 1 - 1/x > 0. Simplifying it further, we obtain x > 1. Therefore, the interval on which f is increasing is (0, ∞).

To find the interval on which f is decreasing, we need to determine where the derivative of f(x) is negative. Solving the inequality 2x - 1 - 1/x < 0, we get 0 < x < 1. Thus, the interval on which f is decreasing is (0, 1).

The local minimum is found by locating the critical point where f'(x) changes from negative to positive. In this case, it occurs at x = 1. Evaluating f(1), we find that the local minimum value is -1.

There is no local maximum in this function since the derivative does not change from positive to negative.

The inflection point is the point where the concavity of the function changes. To find it, we need to determine where the second derivative of f(x) changes sign. Taking the second derivative, we get f''(x) = 2 + 1/x^2. Setting f''(x) = 0, we find x = 0. Taking the sign of f''(x) for values less than and greater than x = 0, we observe that the concavity changes at x ≈ 0.293. Therefore, this is the inflection point of the function.

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Answer:

52%

Step-by-step explanation:

13/25=0.52

0.52 as a percent is 52%

Answer:

It is asking us what number on the y axis the line goes through

in this case, the answer is 4

The fraction of the writing utensils that are black pens is 15/28. The correct option is C. 15/28

From the question, we are to determine the fraction of the writing utensils that are black pens

From the given information,

5/7 of the writing utensils are pens

and

3/4 of the pens are black pens

Thus,

3/4 of 5/7 of the writing utensils are black pens

3/4 of 5/7

That is,

3/4 × 5/7

= 15/28

Hence, the fraction of the writing utensils that are black pens is 15/28. The correct option is C. 15/28

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Answer:

A

Step-by-step explanation:

\(\dfrac{21a^3-14a}{-7}= \\\\\\\dfrac{-7(-3a^3+2a)}{-7}= \\\\\\-3a^3+2a\)

Hope this helps!

Answer:

-8.52, -8.15, 0.55, 8.25

Step-by-step explanation:

The lowest of negatives goes first, and the highest of positives goes last.

Answer:

from the least to the highest which is:

-8.52

-8.15

0.55

8.25

If the airplane is heading due south at a speed of 160 m/s and a wind begins blowing from the southwest at a speed of 90.0 km/h, the airplane will be approximately 36.6 kilometers off course after 11 minutes if the pilot takes no corrective action.

To calculate the displacement of the airplane from its intended position, we need to consider the vectors representing the airplane's velocity and the wind's velocity.

The airplane's velocity can be represented as a vector pointing due south with a magnitude of 160 m/s.

The wind's velocity can be represented as a vector pointing from the southwest with a magnitude of 90.0 km/h.

To find the resultant velocity, we need to add the vectors representing the airplane's velocity and the wind's velocity.

Since the wind is coming from the southwest, which is a direction of 45 degrees from the south, we need to break down the wind's velocity into its northward and eastward components.

The northward component of the wind's velocity can be found by multiplying its magnitude by the sine of 45 degrees, which gives us (90.0 km/h) * sin(45) = 63.6 km/h.

Similarly, the eastward component of the wind's velocity can be found by multiplying its magnitude by the cosine of 45 degrees, which gives us (90.0 km/h) * cos(45) = 63.6 km/h.

Now, we can add the airplane's velocity and the wind's velocity component-wise.

The resulting velocity will have a northward component of 63.6 km/h and a southward component of 160 m/s.

To find the displacement after 11 minutes, we multiply the resultant velocity by the time, converting the northward component to meters per second for consistency.

Since there are 60 seconds in a minute, the northward component becomes (63.6 km/h) * (1000 m/km) / (60 s/min) = 1060 m/min.

Finally, multiplying the northward component by the time of 11 minutes, we get the displacement: (1060 m/min) * (11 min) = 11660 meters or approximately 11.66 kilometers.

Therefore, the airplane will be approximately 36.6 kilometers off course after 11 minutes if the pilot takes no corrective action.

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Answer:

24.5 pi in^2

or 76.93 in^2 (Multiplied by 3.14)

Step-by-step explanation:

A = piR^2

Answer:

Intersecting but not perpendicular

Step-by-step explanation:

Assuming you forgot to add the = between y+5 and 2(1)

Since there is a opposite single variable in either equation the lines will intersect but not be perpendicular

The length of the radius of cone A. is \(\frac{\pi}{6}\).

The lateral surface area of cone A is a sector with central angle 6 radians and radius π.

We can use the formula for sector area to find the lateral surface area of the cone.

Area of sector = θ/2π×π²

where θ is the central angle and π is the radius.

Area of cone’s lateral surface area (L) =θ/2π×2πr=rθ.

So, r = L/θ = π/6 (when L=π and θ=6 radians).

The length of the radius of cone A is π/6 which is approximately 0.524.

Therefore, the length of the radius of cone A is \(\frac{\pi}{6}\), when unwrapped, given that the lateral surface area of cone A is a sector with central angle 6 radians and radius pi.

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The potential energy of the system of charges change as a result option (b) the potential energy decreases.

The potential energy of a system of charges depends on their relative positions and magnitudes. In this case, the system consists of three negative charges of equal magnitudes, and we are moving one of them away from the x-axis to a new position (0, +a).

Initially, the potential energy of the system can be calculated using the formula for the potential energy of a system of point charges

U = (1/4πε₀) × q₁q₂/r₁₂ + (1/4πε₀) × q₁q₃/r₁₃ + (1/4πε₀) × q₂q₃/r₂₃

where U is the potential energy of the system, q₁, q₂, and q₃ are the charges, r₁₂, r₁₃, and r₂₃ are the distances between the charges, and ε₀ is the electric constant.

Assuming that the charges are equal and using the distance formula for the distances, we get

U = (1/4πε₀) × q² [(1/|x+a|) + (1/|x|) + (1/|x-a|)]

When x=0, this simplifies to

U = (1/4πε₀) × (3q²/a)

When we move the charge at (0,0) to (0,a), we are effectively increasing the distance between this charge and the other two charges along the x-axis. This means that the distances r₁₃ and r₂₃ increase, while the distance r₁₂ remains the same.

As a result, the potential energy of the system decreases.

Therefore, the correct answer is (b) the potential energy decreases.

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The beauty of nature, which is God's creation, is the poem's central theme in the Murree Hills. In the end, praising the beauty around you is praising God's high skills for creating it.

In this sonnet, the writer has commended God's knowledge and nature's excellence He says that the fragrance of Murree is sweet to such an extent that it appears somebody has splashed aroma. Additionally beautiful are the valleys, where smaller streams meet larger ones. Murree is different from the rest of Punjab in that it is wetter and has more greenery than the rest of the state. The already stunning plants are enhanced by the brilliantly colored butterflies.

The raging streams signal the summer monsoon's arrival as the mist dissipates into bright skies at noon. The splendor of the Murree Hills exemplifies God's existence and demonstrates His greatness and intelligence. The beauty of nature, which is God's creation, is the poem's central theme in the Murree Hills. In the end, praising the beauty around you is a praise of God's high skills for creating it.

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The volume of the solid is approximately 807.08 cubic units.

To determine the volume of the solid, we can use the method of cylindrical shells.

Imagine taking a slice of the solid parallel to the base, with the cross-sectional area being a square of side length x (where x is a function of the height). The volume of this slice is the product of the square area and the height. The height of the slice is equal to the difference in the radii of two consecutive circular cross sections.

The radius of the larger circular cross-section can be found using the Pythagorean theorem, which states that the square of the hypotenuse (the radius) is equal to the sum of the squares of the other two sides (the height and half the side length of the square). Thus, we have:

r² = x² + (15-x)²

Solving for x, we get:

x = 15 * √(1 - (r/15)²)

The volume of the slice is then given by:

V = x² * (15 - x)

To find the total volume of the solid, we integrate this expression with respect to r from 0 to 15. The result is approximately 807.08 cubic units.

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Step-by-step explanation:

Reflection on x-axis;

A(4,-5)=A'(4,5)

Answer:

10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

There is an infinite n umber of systems of equations that has (1, 4) as its solution. Are you given choices? Try x = 1 and y = 4 in each equation of the choices. The set of two equations that are true when those values of x and y are used is the answer.

The probability that both are white is = 4/7 .

Probability is simply the possibility that something will happen. We may talk about the possibility of one result, or the likelihood of numerous outcomes, when we don't know how an event will turn out. The study of events with a probability distribution is known as statistics.

the probability of choosing a white pair of socks = 8/10

the probability of choosing a white t-shirt = 5/7

the probability that both are white = 8/10  *  5/7

                                                         = 8*5 / 70

                                                         = 40 / 70

                                                         = 4/7

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Answer:

y = 2ˣ

Step-by-step explanation:

Since, the question asked which function is best represented by the graph and the function given are:

y = 0.5ˣ

y = 2ˣ

y = 3ˣ

y = 2 * 0.25 ˣ

We can graph each of them to see which is the answer.

Base on the graph below we can see that;

the function that represents the graph is  y = 2ˣ

RevyBreeze

3-5x=2

or, -5x=-1

or, x= 1/5

The value of x is 1/5 for equation 3 – 5x = 2

Two or more expressions with an Equal sign is called as Equation.

The given equation is 3 – 5x = 2

Three minus five times of x equal to two

We need to solve for x

3 – 5x = 2

Subtract 3 from both sides

3-3-5x=2-3

-5x=-1

Divide both sides by -5

x=-1/-5

x equal to one by five

x=1/5

Hence, the value of x is 1/5 for equation 3 – 5x = 2

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Answer: The last answer is correct. -1 2/3

Step-by-step explanation: Hope this helped!

Answer:

B) 4 cm

Step-by-step explanation:

Pentagon ABCDE is 1.75 times larger than Pentagon LMNOP. In Pentagon ABCDE, side AB is 7 cm. The side across of it (DE) is also 7. Side DE is Side OP on Pentagon LMNOP. To solve for it, divide 7/1.75 to get 4.

Hope it helps!