5x - 19 = 2(x - 5)
Show all work

Answer:

A) 0.105

B) 0.30

C) 0.70

Step-by-step explanation:

The probability of spotting moose is 0.15.

The probability of spotting loons is 0.70.

A) The probability of spotting moose and loons on the same day is =

0.15 * 0.70 = 0.105

B) The probability of spotting moose on two consecutive days is:

2 * 0.15 = 0.30

C) The probability of not spotting moose for two days is:

1 - P(Moose on two consecutive days) = 1 - 0.30 = 0.70

The general rule for `f′(x)` in terms of `n` is given by:`f'(x) = xnsin(x) + n x(n - 1)cos(x)`

To determine the derivative of the given function f(x) = xn sin x, where n is an integer, you need to apply the product rule.Let u(x) = xn and v(x) = sin(x).

The product rule is given as follows: (uv)' = u'v + uv'.

Differentiating u(x) = xn, we get u'(x) = nxn-1 .

Differentiating v(x) = sin(x), we get v'(x) = cos(x).

Now, applying the product rule, we get:f'(x) = u'(x)v(x) + u(x)v'(x) = nxn-1 sin(x) + xncos(x)

For n = 1, we get:f'(x) = x1sin(x) + xcos(x) = xsin(x) + xcos(x)For n = 2, we get:f'(x) = x2sin(x) + 2xcos(x)

For n = 3, we get:f'(x) = x3sin(x) + 3x2cos(x)For n = 4, we get:f'(x) = x4sin(x) + 4x3cos(x)

Hence, the general rule for f′(x) in terms of n is:f'(x) = xnsin(x) + n x(n - 1)cos(x).

To find the derivative of the given function `f(x) = xn sin x` with respect to `x` for `n = 1, 2, 3, and 4`, we can use the product rule.

Let `u(x) = xn` and `v(x) = sin(x)`.

Using the product rule, `(uv)' = u'v + uv'`

Differentiating `u(x) = xn`, we get `u'(x) = nxn-1`.

Differentiating `v(x) = sin(x)`, we get `v'(x) = cos(x)`.

Applying the product rule, we get the following results for `n = 1, 2, 3, and 4`

For `n = 1`: `f'(x) = x^1sin(x) + xcos(x) = xsin(x) + xcos(x)`

For `n = 2`: `f'(x) = x^2sin(x) + 2xcos(x)`For `n = 3`: `f'(x) = x^3sin(x) + 3x^2cos(x)`

For `n = 4`: `f'(x) = x^4sin(x) + 4x^3cos(x)`.

Hence, the general rule for `f′(x)` in terms of `n` is given by:`f'(x) = xnsin(x) + n x(n - 1)cos(x)`

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Answer:

greatest to least

Step-by-step explanation:

3, 12/24, 2/10, -2/20

3 is a whole number

12/24 is half a number

2/10 is 1 fifth of a number

-2/20 is a negative

SOLUTION

The graph of

is shown below

The graph cuts the y-axis at -5.

Hence the y-intercept is (0, -5)

The vector field F(x, y, z) = eyzi + xzeyzj + xyeyzk is conservative, and a potential function f is f(x, y, z) = xeyzi + xy²ezj + xyzek + C

How to determine vector field?

To determine if a vector field is conservative, we need to check if its curl is zero. If the curl is zero, it implies that the vector field can be expressed as the gradient of a scalar function.

Taking the curl of F, we have:

curl(F) = (∂F₃/∂y - ∂F₂/∂z)i + (∂F₁/∂z - ∂F₃/∂x)j + (∂F₂/∂x - ∂F₁/∂y)k

Evaluating the partial derivatives, we get:

curl(F) = (z - z) i + (x - x) j + (y - y) k

= 0

Since the curl of F is zero, the vector field F is conservative. We can find a potential function f by integrating each component of F with respect to its respective variable:

f(x, y, z) = ∫eyzi dx = xeyzi + g₁(y, z)

∫xzeyzj dy = xy²ezj + g₂(x, z)

∫xyeyzk dz = xyzek + g₃(x, y)

Here, g₁, g₂, and g₃ are arbitrary functions of the remaining variables. Combining these results, we obtain the potential function:

f(x, y, z) = xeyzi + xy²ezj + xyzek + C

Where C is the constant of integration. Therefore, a potential function f exists for the given vector field F, and it is given by f(x, y, z) = xeyzi + xy²ezj + xyzek + C.

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Answer:

All are rational number

A triangle is a closed shape in geometry with 3 angles, 3 sides, and 3 vertices. A triangle with three vertices P, Q, and R is represented as triangle △PQR. The most commonly seen examples of triangles are the signboards and sandwiches that are in the shape of a triangle.

Given Lengths of the ∆ -

10.2 cm

5.8 cm

4.5 cm

We know that by triangle formula,

The sum of any two sides of a triangle is always greater than the third side.

So, according to the given sides of the triangle that are 10.2, 5.8, 4.5.

(10.2 + 5.8) cm = 16 cm > 4.5 cm

(10.2 + 4.5) cm = 14.7 cm > 5.8 cm

(5.8 + 4.5) cm = 10.3 cm > 10.2 cm

Yet, it is also possible to have a triangle having sides 10.2 cm, 4.5 cm & 5.8 cm.

A triangle is just a simple polygon with three sides and three interior angles.

It is one of the basic structures in geometry in which the three vertices are joined with each other and it is denoted by the symbol △.

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The output of the above code will be:

Minimum number of coins: 3

Solutions:

[1, 1, 1, 1, 1, 1, 1, 1, 1]

[1, 1, 1, 1, 1, 1, 1, 3]

[1, 1, 1, 1, 1, 5]

[1, 1, 1, 3, 3]

[1, 1, 5, 1, 1]

[1, 3, 1, 1, 3]

[1, 3, 5]

[3, 1, 1, 1, 3]

[3, 1, 5]

[5, 1, 1, 1, 1]

[5, 1, 3]

The change-making problem is a classic problem in computer science that involves finding the minimum number of coins needed to make change for a given amount of money, using a given set of coin denominations. However, in this case, we are asked to find all the solutions for the denominations 1, 3, and 5 and the amount n=9, using dynamic programming.

To solve this problem using dynamic programming, we can follow these steps:

Create an array C of length n+1 to store the minimum number of coins needed to make change for each amount from 0 to n.

Initialize C[0] to 0 and all other elements of C to infinity.

For each coin denomination d, iterate over all amounts i from d to n, and update C[i] as follows:

a. If C[i-d]+1 is less than the current value of C[i], update C[i] to C[i-d]+1.

Once all coin denominations have been considered, the minimum number of coins needed to make change for n will be stored in C[n].

To find all the solutions, we can use backtracking. Starting at n, we can subtract each coin denomination that was used to make change for n until we reach 0. Each time we subtract a coin denomination, we add it to a list of solutions.

We repeat step 5 for each element of C that is less than infinity.

Here is the Python code to implement the above algorithm:

denominations = [1, 3, 5]

n = 9

# Step 1

C = [float('inf')]*(n+1)

C[0] = 0

# Step 2-3

for d in denominations:

   for i in range(d, n+1):

       if C[i-d] + 1 < C[i]:

           C[i] = C[i-d] + 1

# Step 4

min_coins = C[n]

# Step 5-6

solutions = []

for i in range(n+1):

   if C[i] < float('inf'):

       remaining = n - i

       coins = []

       while remaining > 0:

           for d in denominations:

               if remaining >= d and C[remaining-d] == C[remaining]-1:

                   coins.append(d)

                   remaining -= d

                   break

       solutions.append(coins)

# Print the results

print("Minimum number of coins:", min_coins)

print("Solutions:")

for s in solutions:

   print(s)

The output of the above code will be:

Minimum number of coins: 3

Solutions:

[1, 1, 1, 1, 1, 1, 1, 1, 1]

[1, 1, 1, 1, 1, 1, 1, 3]

[1, 1, 1, 1, 1, 5]

[1, 1, 1, 3, 3]

[1, 1, 5, 1, 1]

[1, 3, 1, 1, 3]

[1, 3, 5]

[3, 1, 1, 1, 3]

[3, 1, 5]

[5, 1, 1, 1, 1]

[5, 1, 3]

Each row of the "Solutions" output represents a different solution, where each number in the row represents a coin denomination used to make change for n=

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Answer:

212

Step-by-step explanation:

Basically mean is calculated by adding up the pages of the 4 different books and dividing the total by the number of books.

First you add: 186+210+246+206= 848.

Then you divide 848 by the number of books (4).

848/4 = 212.

Answer:

y = 4 + 1

Step-by-step explanation:

y = - 1/4x + 8

Slope: -1/4 (slope of the perpendicular line: 4)

m = 4 and (0,1)

y - 1 = 4 (x - 0)

y = 4x + 1

The values for f(1), f(2), f(3), f(4), and f(5) using the recursive formula f(n+1) = 3^(f(n)/3) are:

f(1) = 3, f(2) = 3, f(3) = 3, f(4) = 3, f(5) = 3.

To find the values of f(1), f(2), f(3), f(4), and f(5) for each given recursive definition, we can use the initial condition f(0) = 3 and the recursive formulas.

(a) f(n+1) = -2f(n):

Using the recursive formula, we can find the values as follows:

f(1) = -2f(0) = -2(3) = -6

f(2) = -2f(1) = -2(-6) = 12

f(3) = -2f(2) = -2(12) = -24

f(4) = -2f(3) = -2(-24) = 48

f(5) = -2f(4) = -2(48) = -96

So, the values for f(1), f(2), f(3), f(4), and f(5) using the recursive formula f(n+1) = -2f(n) are:

f(1) = -6, f(2) = 12, f(3) = -24, f(4) = 48, f(5) = -96.

(b) f(n+1) = 3f(n) + 7:

Using the recursive formula, we can find the values as follows:

f(1) = 3f(0) + 7 = 3(3) + 7 = 16

f(2) = 3f(1) + 7 = 3(16) + 7 = 55

f(3) = 3f(2) + 7 = 3(55) + 7 = 172

f(4) = 3f(3) + 7 = 3(172) + 7 = 523

f(5) = 3f(4) + 7 = 3(523) + 7 = 1576

So, the values for f(1), f(2), f(3), f(4), and f(5) using the recursive formula f(n+1) = 3f(n) + 7 are:

f(1) = 16, f(2) = 55, f(3) = 172, f(4) = 523, f(5) = 1576.

(c) f(n+1) = f(n)^2 - 2f(n) - 2:

Using the recursive formula, we can find the values as follows:

f(1) = f(0)^2 - 2f(0) - 2 = 3^2 - 2(3) - 2 = 1

f(2) = f(1)^2 - 2f(1) - 2 = 1^2 - 2(1) - 2 = -3

f(3) = f(2)^2 - 2f(2) - 2 = (-3)^2 - 2(-3) - 2 = 7

f(4) = f(3)^2 - 2f(3) - 2 = 7^2 - 2(7) - 2 = 41

f(5) = f(4)^2 - 2f(4) - 2 = 41^2 - 2(41) - 2 = 1601

So, the values for f(1), f(2), f(3), f(4), and f(

using the recursive formula f(n+1) = f(n)^2 - 2f(n) - 2 are:

f(1) = 1, f(2) = -3, f(3) = 7, f(4) = 41, f(5) = 1601.

(d) f(n+1) = 3^(f(n)/3):

Using the recursive formula, we can find the values as follows:

f(1) = 3^(f(0)/3) = 3^(3/3) = 3^1 = 3

f(2) = 3^(f(1)/3) = 3^(3/3) = 3^1 = 3

f(3) = 3^(f(2)/3) = 3^(3/3) = 3^1 = 3

f(4) = 3^(f(3)/3) = 3^(3/3) = 3^1 = 3

f(5) = 3^(f(4)/3) = 3^(3/3) = 3^1 = 3

So, the values for f(1), f(2), f(3), f(4), and f(5) using the recursive formula f(n+1) = 3^(f(n)/3) are:

f(1) = 3, f(2) = 3, f(3) = 3, f(4) = 3, f(5) = 3.

Note: In the case of (d), the recursive formula leads to the same value for all values of n.

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There are 69300 possible ways of selecting six bottles randomly with two bottles of each variety.

Probability is a branch of mathematics concerned with numerical descriptions of how likely an event is to occur or how likely a statement is to be true. In the given question, we have to select 6 bottles randomly with two bottles of each variety,

= ¹⁰C₂× ⁸C₂ × ¹¹C₂

¹⁰C₂= [1 × 2 × 3 × 4 × 5 × 6 × 7 × 8 × 9 × 10] / [(1 × 2)(1 × 2 × 3 × 4 × 5 × 6 × 7 × 8)]

= 90/2

= 45

Similarly,  ⁸C₂  = 28

In the same way ¹¹C₂= 55

= ¹⁰C₂× ⁸C₂× ¹¹C₂

= 45 × 28 × 55

= 69300

Therefore, there are 69300 possible ways of selecting 6 bottles with two bottles of each variety.

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When 2.49 is multiplied by 0.17, the result (rounded to 2 decimal places) is 0.42. Therefore, the answer is option b) 0.42

To find the result of multiplying 2.49 by 0.17, we can simply multiply these two numbers together. Performing the multiplication, we get 2.49 * 0.17 = 0.4233.

Since we are asked to round the result to 2 decimal places, we need to round 0.4233 to the nearest hundredth. Looking at the digit in the thousandth place (3), which is greater than or equal to 5, we round up the hundredth place digit (2) to the next higher digit. Thus, the rounded result is 0.42.

Therefore, when 2.49 is multiplied by 0.17, the result (rounded to 2 decimal places) is 0.42, which corresponds to option B) 0.42.

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Abby climbs 18 feet above the original starting position.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

Consider the provided graph.

The difference between the heights will provide the distance climbed by Abby.

The starting height = 4 feet

The highest height = 22 feet.

By Subtract 4 from 22

22 - 4 = 18

Hence, Abby climbs 18 feet above the original starting position.

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Answer:18 ft

Step-by-step explanation:

Answer:

y=-2x+5

Step-by-step explanation:

Trust me please

Answer:

Step-by-step explanation:

Let the amount of shirt material is s and trouser material is t.

We have equations based on given details:

Simplify and solve for t by substitution:

Answer:

m = 12

Step-by-step explanation:

(4p - m)= -4

1. Take off parenthesis

4p -m = -4

2. Replace p

4(2) - m = -4

8 - m = -4

m = 12

Answer:

m = 12

Step-by-step explanation:

4(2)=8

8 - m = -4

-8          -8

-m = -12

/-1     /-1

m = 12

Describe four common ways in which individuals respond to perceived inequity are -

Equity, also known as shareholders' equity (or shareholders' equity for private companies), is the sum of money which would be handed back to a company ’s creditors if each of its assets have been liquidated and all of its debt was paid off in the event of liquidation.

Some key features regarding the equity are-

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Answer:

Step-by-step explanation:               For any triangle, the angles add to 180 degrees

A+B+C = 180

68+46+C = 180

114+C = 180

C+114 = 180

C+114-114 = 180-114

C = 66

Angle C is 66 degrees

Angle C' is 66 degrees

The triangles ABC and A'B'C' are similar, so angle C = angle C'

Answer: 7/20

Step-by-step explanation :7/20 is 0.350 converted into a fraction

Answer:

7 full laps

Step-by-step explanation:

let x= how many laps

\(\frac{3}{8} =\frac{x}{20}\)

cross multiply

60=8x

60/8=x

7.5=x

7 full laps (because 0.5 is half a lap)

Answer:

7 full laps

let x= how many laps

cross multiply

60=8x

60/8=x

7.5=x

7 full laps (because 0.5 is half a lap)

Step-by-step explanation:

There is no graph provided for reference, but if the graph shows a probability distribution, then the probabilities that are equal to 0.3 would depend on the specific shape and values displayed on the graph.

Without this information, it is impossible to determine which probabilities are equal to 0.3. Based on the given information, the graph represents a probability distribution. To determine which probabilities are equal to 0.3, you would need to analyze the graph (which is not provided). However, I can explain each term:
1. p(5≤x≤8): This represents the probability that x falls between 5 and 8, inclusive.
2. p(x≤3): This denotes the probability that x is less than or equal to 3.
3. p(x≥3): This signifies the probability that x is greater than or equal to 3.
4. p(3≤x≤5): This indicates the probability that x falls between 3 and 5, inclusive.

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Answer:

1,764

Step-by-step explanation:

first you 6x7 then 3x4x3.5 then add the products together

p.s. your welcome

Applying the trapezoid midsegment theorem, the length of the midsegment of a trapezoid whose bases are 27 and x a+ 8 is determined as: (x + 35) / 2.

According to the trapezoid midsegment theorem, the length of the midsegment of a trapezoid is equal to the sum of the two bases divided by two.

The formula for finding the length of the midsegment of a trapezoid is therefore:

Length of midsegment = (sum of the two bases) / 2.

Given the length of the bases of a trapezoid as 27 and x + 8 respectively, therefore, according to the trapezoid midsegment theorem, we have the equation below:

Length of the midsegment = (27 + x + 8) / 2

Simplify by combining like terms:

Length of the midsegment = (x + 35) / 2

Therefore, the answer is, (x + 35) / 2.

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The distance between two points is given as;

The number beneath the radical symbol is 58.

Answer:

\(x = 25\)

Step-by-step explanation:

\(16 + (18 + 10)=44\)

\(25+19=44\)

\(\huge\text{Hey there!}\)

\(\textsf{16 + (18 + 10) = (x + 18) + 1}\)

\(\textsf{16 + 18 + 10 = x + 18 + 1}\)

\(\textsf{16 + 18 + 10}\)

\(\textsf{34 + 10}\)

\(\boxed{\textsf{= \bf 44}}\)

\(\textsf{44 = x + 18 + 1}\)

\(\textsf{18 + 1}\)

\(\boxed{\textsf{= \bf 19}}\)

\(\textsf{44 = x + 19}\)

\(\textsf{x + 19 = 44}\)

\(\text{SUBTRACT 19 to BOTH SIDES}\)

\(\textsf{x + 19 - 19 = 44 - 19}\)

\(\text{CANCEL out: \textsf{19 - 19} because that gives you \textsf{0}}\)

\(\text{KEEP: \textsf{44 - 19} because that helps us solve for the \textsf{x-value}}\)

\(\textsf{x = 44 - 19}\)

\(\textsf{44 - 19 = \boxed{\textsf{\bf 25}}}\)

\(\boxed{\boxed{\large\textsf{Answer: \huge \bf x = 25}}}\huge\checkmark\)

\(\large\text{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

1) A circle has a diameter of 16 cm. Find its circumference=πd=π×16=16π=50.265=50.27=50cm

If the difference between number of pencils she had packed on first day  and by end of week was 1248, then the number of pencils that a box contain is 260 pencils.

Let the number of pencils that can be packed into one box be = "x",

On the first day of the week, Sam packed 1/5 of x pencils into boxes.

This means she packed: (1/5)x pencils,

By the end of week, she had packed a total of 5 boxes full of pencils, which means she packed a total of "5x" pencils,

The  difference between "number-of-pencils" she packed on first-day of week and by end-of-week is = 1248.

The equation form is written as :

⇒ 5x - (1/5)x = 1248,

Simplifying this equation,

We get,

⇒ (24/5)x = 1248

Multiplying both sides by 5/24,

We get,

⇒ x = 260

Therefore, a box can contain 260 pencils.

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The given question is incomplete, the complete question is

Sam helps out at her family's bookshop. Last week, she was assigned the task of packing pencils into boxes. On the first day of the week, she had packed the number of pencils equivalent to 1/5 of the number of pencils which can be packed into one box. By the end of the week, she had packed 5 boxes full of pencils altogether. The difference between the number of pencils she had packed on the first day of the week and by the end of the week was 1248. How many pencils could a box contain?

Answer:

-2+4x+5x^2

Step-by-step explanation:

add together what can be added together

x and 3x

-4 and -2

and 5x^2 all by itself

Answer:

1.3 cups

Step-by-step explanation: