how do you solve 2(3-p)-17=41

Answer:

5

Step-by-step explanation:

to multiply fractions we multiply numerator with numerator and denominator with denominator

\(\frac{3}{36}x\frac{60}{1}\)

\(\frac{3x60}{36x1}\)

\(\frac{180}{36}\)

5

Hopes this helps please mark brainliest

Answer:

20

Step-by-step explanation:

because you have a 50 % 50% shot of getting either.

Answer:

20

Step-by-step explanation:

The response rate for this survey was 4.2% (1727 completed out of 41,000 invited), rounded to one decimal place. Using the quick method, the estimated margin of error for a random sample of size 1727 is approximately 2.4%. The margin of error is a good measure of the accuracy of the survey's results because the number of non respondents was large, which may have introduced bias into the sample. However, the fact that the sample was randomly selected is a good indication of the survey's accuracy. The fact that only 33% of responding mothers said they communicate at least once a day with their child while at school does not necessarily invalidate the margin of error as a measure of accuracy, as the margin of error is based on the size of the sample, not on the specific results of the survey.

To calculate the response rate, divide the number of completed surveys (1727) by the number of parents invited (41,000) and multiply by 100 to get a percentage.

Response rate = (1727/41,000) * 100
Response rate ≈ 4.2%

To estimate the margin of error, use the quick method formula:

Margin of error ≈ 1 / √(sample size) * 100

Margin of error ≈ 1 / √(1727) * 100
Margin of error ≈ 2.4%

Considering the margin of error, it is not a good measure of the accuracy of the survey's results, because the number of non respondents was large.

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The interval for the given situation is  (0, 4).

Given that, height = 400 ft, initial velocity of 64 ft/s and the equation s(t) = -16t² + 64t + 400.

Initial velocity is the velocity at time interval t = 0 and it is represented by u. It is the velocity at which the motion starts. They are four initial velocity formulas: (1) If time, acceleration and final velocity are provided, the initial velocity is articulated as. u = v – at.

To find the interval in which the ball is higher than the building, solve the inequality h(t) > 400. The inequality is easily solved by subtracting 400 so the comparison is to zero, factoring the expression involving t, and identifying the time interval in which the signs of the factors are the same.

-16t² +64t +400 > 400

⇒ -16t² +64t > 0

⇒ -16t (t -4) > 0

⇒ t=0 and t-4=0

Both factors will have negative signs on the interval (0, 4).

Therefore, the interval for the given situation is  (0, 4).

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Answer: He will have enough paint to put one coat of paint on all of the tables.

The total of $72 is incorrect because the real cost will be $80.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Tickets to a zoo cost $12 for each adult and $8 for each child.

If two adults go to the Zoo then ticket charges = 2 x 12 = $24

and, If 7 children can also go to zoo then ticket charges = 7 x 8 = $56

and, the total ticket cost = $24 + $ 56 = $80

Hence, The total of $72 is incorrect because the real cost will be $80.

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Here's a Scheme function that checks whether a matrix is symmetric or not:

```scheme

(define (is-symmetric-matrix matrix)

 (define (get-element matrix i j)

   (if (null? matrix)

       #f

       (if (= i 0)

           (if (null? (car matrix))

               #f

               (if (= j 0)

                   (car (car matrix))

                   (get-element (cdr matrix) i (- j 1))))

           (get-element (cdr matrix) (- i 1) j))))

 (define (is-matrix-symmetric-helper matrix i j)

   (if (null? matrix)

       #t

       (if (equal? (get-element matrix i j)

                   (get-element matrix j i))

           (is-matrix-symmetric-helper matrix i (+ j 1))

           #f)))

 (if (null? matrix)

     #t

     (is-matrix-symmetric-helper matrix 0 0)))

```

The function `is-symmetric-matrix` takes a matrix as an input, which is represented as a list of lists. It uses a helper function called `is-matrix-symmetric-helper` to compare each element of the matrix with its corresponding element in the transposed position. The `get-element` function is used to retrieve the element at position `(i, j)` in the matrix.

The `is-matrix-symmetric-helper` function recursively iterates over the matrix, comparing each element with its transposed element. If any pair of corresponding elements is found to be different, it immediately returns `#f` (False), indicating that the matrix is not symmetric. If it reaches the end of the matrix without finding any differences, it returns `#t` (True), indicating that the matrix is symmetric.

Finally, the main `is-symmetric-matrix` function first checks if the matrix is empty. If it is, it immediately returns `#t` since an empty matrix is considered symmetric. Otherwise, it calls the helper function with the initial indices `(0, 0)` and returns its result.

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Answer:

False.

Step-by-step explanation:

A point is a zero-dimensional object as it has no length, width or height. It has no size.

And it would be great if you can spell "point" correctly.

Answer:

6625

Step-by-step explanation:

We know that:  P = 5000

                          R = 6.5%

                          T = 5

Formulate and substitute: I = 5000rt

Calculate the product or quotient: 5000 x (1 + 0.325)

Calculate the sum or difference: 5000 x 1.325

Calculate the product or quotient: 6625

Answer:

Please mark as brainliest if answer is right

Have a great day, be safe and healthy  

Thank u  

XD

A enclose numerators and denominators in parentheses.  f(x)=x 2+4x and g(x)=1−x² is fg(x) = x² - x⁴ + 4x - 4x³ ,gf(x) = x² - x⁴ + 4x - 4x²

To find the values of (f+g)(x), (f-g)(x), fg(x), and gf(x), the respective operations on the given functions f(x) and g(x).

Given:

f(x) = x² + 4x

g(x) = 1 - x²

(f+g)(x):

To find (f+g)(x), the two functions f(x) and g(x):

(f+g)(x) = f(x) + g(x) = (x² + 4x) + (1 - x²)

= x² + 4x + 1 - x²

= (x² - x²) + 4x + 1

= 4x + 1

Therefore, (f+g)(x) = 4x + 1.

(f-g)(x):

To find (f-g)(x), subtract the function g(x) from f(x):

(f-g)(x) = f(x) - g(x) = (x² + 4x) - (1 - x²)

= x² + 4x - 1 + x²

= (x² + x²) + 4x - 1

= 2x² + 4x - 1

Therefore, (f-g)(x) = 2x² + 4x - 1.

fg(x):

fg(x), multiply the two functions f(x) and g(x):

fg(x) = f(x) × g(x) = (x² + 4x) × (1 - x²)

= x² - x⁴ + 4x - 4x³

Therefore, fg(x) = x² - x⁴ + 4x - 4x³.

gf(x):

gf(x), multiply the two functions g(x) and f(x):

gf(x) = g(x) × f(x) = (1 - x²) × (x² + 4x)

= x² - x⁴ + 4x - 4x³

Therefore, gf(x) = x² - x⁴ + 4x - 4x³.

\((f+g)(x) = 4x + 1\\\\(f-g)(x) = 2x^2 + 4x - 1\\\\fg(x) = x^2 - x^4 + 4x - 4x^3\\\\gf(x) = x^2 - x^4 + 4x - 4x^3\\\)

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Solving the operations:

Now we multiply by 100 to convert to percentage:

Therefore, oct-dec sales are 17.4% of the total sales.

Answer:

Sorry but where's the question

Step-by-step explanation:

Answer:

m<A: 50

Step-by-step explanation:

Complementary angles mean that the angles add up to, or equal 90

4x + 6 + 4x - 4 = 90

8x + 2 = 90

8x = 88

x = 11

m<A:

4x + 6

4(11) + 6

50

The length of the curve correct to four decimal place is 6.4739.

To find the length of the curve given by r = sin(6sinθ), we can use the formula:
L = ∫(a,b) √[r(θ)² + (dr/dθ)²] dθ

where a and b are the parameter values that correspond to the endpoints of the curve. In this case, we can see that r(θ) = sin(6sinθ), and we can use the chain rule to find:
 dr/dθ = 6cosθcos(6sinθ)

Substituting these expressions into the formula, we get:
L = ∫(0,2π) √[sin²(6sinθ) + (6cosθcos(6sinθ))²] dθ

Using a calculator or computer program, we can evaluate this integral to find L ≈ 6.4739. Therefore, the length of the curve correct to four decimal places is approximately 6.4739.

To determine the parameter interval, we can graph the curve using polar coordinates. The curve is symmetric about the origin and has six "petals" that form a flower-like shape. The parameter interval can be taken as 0 ≤ θ ≤ 2π to cover one complete rotation of the curve.

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Answer:

6

Step-by-step explanation:

Answer:

6 Inches

Step-by-step explanation:

To evaluate c ∇f · dr, we need to first find the gradient vector ∇f and the differential vector dr.

Since the function f is not given, we cannot find ∇f explicitly. However, we know that ∇f points in the direction of greatest increase of f, and that its magnitude is the rate of change of f in that direction. Therefore, we can make an educated guess about the form of ∇f based on the information given.

The function f could be any function, but let's assume that it is a function of two variables x and y. Then, we have:

∇f = (∂f/∂x, ∂f/∂y)

where ∂f/∂x is the partial derivative of f with respect to x, and ∂f/∂y is the partial derivative of f with respect to y.

Now, let's find the differential vector dr. The parameterization of c is given by:

x = t^2 + 1

y = t^3 + t

0 ≤ t ≤ 1

Taking the differentials of x and y, we get:

dx = 2t dt

dy = 3t^2 + 1 dt

Therefore, the differential vector dr is given by:

dr = (dx, dy) = (2t dt, 3t^2 + 1 dt)

Now, we can evaluate c ∇f · dr as follows:

c ∇f · dr = (c1 ∂f/∂x + c2 ∂f/∂y) (dx/dt, dy/dt)

where c1 and c2 are the coefficients of x and y in the parameterization of c, respectively. In this case, we have:

c1 = 2t

c2 = 3t^2 + 1

Substituting these values, we get:

c ∇f · dr = (2t ∂f/∂x + (3t^2 + 1) ∂f/∂y) (2t dt, 3t^2 + 1 dt)

Now, we need to make an educated guess about the form of f based on the information given. We know that f is a function of x and y, and we could assume that it is a polynomial of some degree. Let's assume that:

f(x, y) = ax^2 + by^3 + cxy + d

where a, b, c, and d are constants to be determined. Then, we have:

∂f/∂x = 2ax + cy

∂f/∂y = 3by^2 + cx

Substituting these values, we get:

c ∇f · dr = [(4at^3 + c(3t^2 + 1)t) dt] + [(9bt^4 + c(2t)(t^3 + t)) dt]

Integrating with respect to t from 0 to 1, we get:

c ∇f · dr = [(4a/4 + c/2) - (a/2)] + [(9b/5 + c/2) - (9b/5)]

Simplifying, we get:

c ∇f · dr = -a/2 + 2c/5

Therefore, the value of c ∇f · dr depends on the constants a and c, which we cannot determine without more information about the function f.

The value of c where c has parametric equations x = t2 + 1, y = t3 + t, 0 t 1. is  c ∇f · dr=  [(2t^5 + 2t^3)(∂f/∂x) + (9t^7 + 3t^5)(∂f/∂y)] dt.

We have the following information:

c(t) = (t^2 + 1)i + (t^3 + t)j, 0 ≤ t ≤ 1

f(x, y) is a scalar function of two variables

We need to find c ∇f · dr.

We start by finding the gradient of f:

∇f = (∂f/∂x)i + (∂f/∂y)j

Then, we evaluate ∇f at the point (x, y) = (t^2 + 1, t^3 + t):

∇f(x, y) = (∂f/∂x)(t^2 + 1)i + (∂f/∂y)(t^3 + t)j

Next, we need to find the differential vector dr = dx i + dy j:

dx = dx/dt dt = 2t dt

dy = dy/dt dt = (3t^2 + 1) dt

dr = (2t)i + (3t^2 + 1)j dt

Now, we can evaluate c ∇f · dr:

c ∇f · dr = [c(t^2 + 1)i + c(t^3 + t)j] · [(∂f/∂x)(2t)i + (∂f/∂y)(3t^2 + 1)j] dt

= [c(t^2 + 1)(∂f/∂x)(2t) + c(t^3 + t)(∂f/∂y)(3t^2 + 1)] dt

= [(t^2 + 1)(2t^3 + 2t)(∂f/∂x) + (t^3 + t)(9t^4 + 3t^2)(∂f/∂y)] dt

Therefore, c ∇f · dr = [(2t^5 + 2t^3)(∂f/∂x) + (9t^7 + 3t^5)(∂f/∂y)] dt.

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Answer:

20

Step-by-step explanation:

Both conditions are satisfied. Therefore, the series \(\sum_{n=1}^{\infty} \frac{(-1)^n}{4n}\) converges. The series \(\sum_{n=1}^{\infty} n \cdot (-1)^n \cdot \left(\frac{1}{3.5}\right)^n\)  converges absolutely.

To determine the convergence of a series, we can apply various convergence tests. Let's analyze each series separately:

1. \(\sum_{n=1}^{\infty} \frac{(-1)^n}{4n}\)

This series is an alternating series since it alternates between positive and negative terms. To determine its convergence, we can use the Alternating Series Test. The Alternating Series Test states that if a series of the form \(\sum_{n=1}^{\infty} (-1)^{n-1} \cdot b_n\)  satisfies the following conditions:

1. The terms \(b_n\) are positive and decreasing for all n.

2. The limit of \(b_n\) as n approaches infinity is zero.

In our case, \(b_n = 1/(4n)\). Let's check the conditions:

Condition 1: The terms \(b_n = 1/(4n)\) are positive for all n.

Condition 2: Let's calculate the limit of b_n as n approaches infinity:

\(\lim_{{n \to \infty}} \left(\frac{1}{{4n}}\right) = 0\)

Both conditions are satisfied. Therefore, the series \(\sum_{n=1}^{\infty} \frac{(-1)^n}{4n}\) converges.

2. \(\sum_{n=1}^{\infty} n \cdot (-1)^n \cdot \left(\frac{1}{3.5}\right)^n\)

To determine the convergence of this series, we can use the Ratio Test. The Ratio Test states that for a series \(\sum_{n=1}^{\infty} a_n\) , if the following limit exists:

\(\lim_{{n \to \infty}} \left| \frac{{a_{n+1}}}{{a_n}} \right| = L\)

1. If L < 1, the series converges absolutely.

2. If L > 1, the series diverges.

3. If L = 1, the test is inconclusive.

In our case, \(a_n = \frac{n \cdot (-1)^n}{3.5^n}\) . Let's apply the Ratio Test:

\(\left| \frac{{(n+1) \cdot (-1)^{n+1}}}{{3.5^{n+1}}} \div \frac{{n \cdot (-1)^n}}{{3.5^n}} \right|\)

               \(\left| \frac{{(n+1)/n \cdot (-1)^2}}{{3.5}} \right|\)

              \(\left| \frac{{n+1}}{{n}} \right| \cdot \frac{1}{3.5}\)

            \(\frac{{n+1}}{{n}} \cdot \frac{1}{3.5}\)

Taking the limit as n approaches infinity:

\(\lim_{{n\to\infty}} \left(\frac{{n+1}}{n} \cdot \frac{1}{3.5}\right) = \frac{1}{3.5}\)

Since 1/3.5 < 1, the series \(\sum_{n=1}^{\infty} n \cdot (-1)^n \cdot \left(\frac{1}{3.5}\right)^n\) converges absolutely.

Therefore, both series converge.

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C can finish the work in 5 days, working alone.

Let C alone take x days to complete the work.

The following points should be kept in mind when approaching the solution of this problem :

Step 1: Find the work done by A alone in 1 day and that done by B alone in 1 day.

Step 2: Use the work done by A alone in 1 day and that done by B alone in 1 day to find the work done by all three A, B, and C together in 1 day.

Step 3: Use the work done by all three A, B, and C together in 1 day to find the number of days it takes for C to complete the job alone.

Now let's begin:

Step 1: Let A alone take 10 days to complete the job.

So, A alone can do the job in 1 day = 1/10.  

Let B alone take 20 days to complete the job.

So, B alone can do the job in 1 day = 1/20.

Step 2: Now we can find the work done by A, B, and C together in 1 day. We know that they finish the job in 4 days, so the total work done = 1/4.

The work done by A alone in 1 day = 1/10.

The work done by B alone in 1 day = 1/20.

Let C alone do the job in 1 day = 1/x.

Total work done in 1 day by A, B, and C = 1/10 + 1/20 + 1/x = 2/20 + 1/x = 1/4.

We can now simplify the equation: 1/x = 1/4 - 2/20 = 1/5.

x = 5

Therefore, C alone can do the work in 5 days, working alone.

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Answer: D is the answer

Step-by-step explanation:

Answer:

14,000    43,043     143,341    341,143

Step-by-step explanation:

Answer:one pencil would be $0.56

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

-(m-9.6)/5=-0.9

-m+9.6=-0.9x5

-m+9.6=4.5

-m=4.5-9.6

-m=-5.1

m=5.1

The base of the ladder must be placed 3 ft from the base of the building. The total length of the ladder is 15 ft.

1. The ladder must reach 12 ft up the wall, so we need to calculate the distance from the base of the building to 12 ft.

2. The total length of the ladder is 15 ft.

3. Subtract the length of the ladder (15 ft) fromthe desired height (12 ft) to get the distance from the base of the building.

4. 12 ft - 15 ft = -3 ft

5. Since the distance cannot be negative, the base of the ladder must be placed 3 ft away from the base of the building.

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Answer:

x-1/2 is in fact a factor of 8x3-4x2+10x-5 so you are correct

Step-by-step explanation:

The equation can be simplified into (2x-1)(4x2+5) and 1/2 is one of the factors

To find a recurrence relation for the number of bit strings of length n not containing two consecutive 1s, we simply add the possibilities from cases when the last bit is a 0 and the last bit is a 1.

We are required to find a recurrence relation for the number of bit strings of length n that do not contain two consecutive 1s. To do this, we will consider two cases:

1. The last bit is a 0

2. The last bit is a 1

Case 1: If the last bit is a 0, the bit string of length n can end in any bit string of length n-1 (since adding a 0 at the end does not create consecutive 1s). Let's call the number of such bit strings with no consecutive 1s A_n. So, in this case, there are A_(n-1) possibilities.

Case 2: If the last bit is a 1, the bit string of length n must end in a bit string of length n-2 (since adding a 1 after a 0 does not create consecutive 1s). In this case, there are A_(n-2) possibilities.

To find the total number of bit strings of length n with no consecutive 1s, we simply add the possibilities from both cases. Therefore, the recurrence relation can be defined as:

A_n = A_(n-1) + A_(n-2)

This is the recurrence relation you need to determine the number of bit strings of length n that do not contain two consecutive 1s.

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Answer:

The answer is true

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

Plug in -4 for x, so the absolute value of -4 is 4. However, there's a minus sign out in front still, so it gets tacked on to the 4. So, g(-4)=-4

Answer:

210

Step-by-step explanation:

we need to estimate so we don't need to use the real number but use a simplified one.

29 is approximately equal to 30

6.75 is approximately equal to 7

\(30 \times 7 = 210\)

Answer:

37.03 sq. mm.

Step-by-step explanation:

got it right on usa test prep