A music app charges $2 to download the app plus $1.29 per song downloaded. Write and solve a linear equation to find the total cost to download 30 songs.

The possible value of positive constant b for an absolute maximum value of function g(x), \(g(x) = xe^{-x} + be^{-x} \) at x = \( \frac{2}{3} \) is equals to the \( \frac{1}{3} \).

An absolute maximum point is a point where the function acquires its largest possible value. To drive the max or min absolute value, we have to substitute the derivative value of function equals to zero. We have a function, \(g(x) = xe^{-x} + be^{-x} \), where b is positive constant. We have to determine the possible value of b for absolute maximum of g at x= 2/3.

Differentiating the function g(x) with respect to x

=> \(g'(x) = - x e^{-x} + e^{-x} - be^{-x} \)

\(= (1 - x - b )e^{-x}\)

\(= \frac{1 - x - b }{e^{x}}\)

For obtaining absolute maximum value put, g'(x) = 0

=> \(\frac{1 - x - b }{e^{x}} = 0\)

Substitute x = 2/3, in above expression,

\( \frac{1 - \frac{2}{3} - b }{e^{\frac{2}{3}}} = 0\)

=> \(1 - \frac{2}{3} - b = 0\)

=> \( b = \frac{1}{3}\)

Hence, the required value of b is \( \frac{1}{3} \).

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Complete question:

Let g(x)=xe^(-x)+be^(-1), where b is a positive constant. For what positive value of b does g have an absolute maximum at x=2/3 .Justify your answer.

Answer:

No

Step-by-step explanation:

\( \frac{10}{13} not \: equal \: \frac{59}{65} \\ 10 \times 65 \: not \: equal \: 59 \times 13 \\ 650 \: not \: equal \: 767\)

Answer:

12x:12x=1:

1 TRUE

Step-by-step explanation:

As per the mathematical operation both Jillian and Samuel are correct.

Given expression = 30+40+70,

The methodology by Jillian = added 30 and 40 and then 70

The methodology by Samuel = added 30 and 70 and then 40.

Determining the result of the given equation:

30 + 40 + 70

= 140

Reviewing the operations of both Jillian and Samuel

Jillian

He added 30 and 40 and then 70:

30 + 40 = 70

70 + 70 = 140

Samuel

He added 30 and 70 and then 40

30 + 70 = 100

100 + 40 = 140

The result of both mathematical operations is 140. Thus, it can be stated that both are correct.

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The process involves finding the complementary solution x_c(t) by solving the homogeneous equation, determining the particular solution x_p(t) using the method of variation of parameters, and combining them to obtain the general solution x(t).

1. The method of variation of parameters can be used to solve the initial value problem x' = axf(t), x(a) = xa, where a and f(t) are given functions. In this case, we have the values a = 4 - 2t and f(t) = 16t^2. We need to find the solution x(t) using the initial condition x(0) = 2.

2. To solve the initial value problem using the method of variation of parameters, we first find the complementary solution x_c(t) by solving the homogeneous equation x' = ax.

3. For the given a = 4 - 2t, the homogeneous equation becomes x' = (4 - 2t)x. By separation of variables and integration, we find the complementary solution x_c(t) = Ce^(2t - t^2).

4. Next, we find the particular solution x_p(t) by assuming a particular solution of the form x_p(t) = u(t)e^(2t - t^2), where u(t) is a function to be determined.

5. Differentiating x_p(t) and substituting it into the original differential equation, we can solve for u'(t) and determine the form of u(t). After finding u(t), we substitute it back into x_p(t).

6. Finally, the general solution is given by x(t) = x_c(t) + x_p(t). By substituting the values and integrating, we can obtain the specific solution x(t) for the given initial condition.

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we would need a sample size of at least 502 for the approximate probability of the random interval (Y1/n - Y2/n) ‡ 0.05 covering pi - p2 to be at least 0.80.

To compute n, we can use the formula:
n = ((zα/2)^2 * 2p*(1-p*)) / (ε^2)
Where zα/2 is the z-score associated with a confidence level of 1-α, p* is the probability of success for a binomial distribution, and ε is the margin of error.
Since we are given that the approximate probability of the random interval (Y1/n - Y2/n) ‡ 0.05 covering pi - p2 is at least 0.80, we can set α = 0.20 to find the corresponding z-score of 1.28.
Using p* = 1/2 as an upper bound for both P1 and P2, we can calculate the margin of error as:
ε = zα/2 * sqrt((p*(1-p*)) / n)
Plugging in the values, we get:
0.05 = 1.28 * sqrt((0.25) / n)
Solving for n, we get:
n = 501.76
Therefore, we would need a sample size of at least 502 for the approximate probability of the random interval (Y1/n - Y2/n) ‡ 0.05 covering pi - p2 to be at least 0.80.

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Answer:

Yes, the Y value has a direct relationship with the x value.

y = 5x + 5

Step-by-step explanation:

Answer:

they is no answer because x-+20 is not applicable to math

Answer:

x = -20

Step-by-step explanation:

because there is no quadratic equation there

The total interest you will earn in 30 years is approximately $241.61.

To calculate the total interest earned in 30 years, we need to use the formula for compound interest:
A = P(1 + r/n)^(nt) - P
Where:
A = the future value of the investment
P = the principal amount (initial deposit)
r = the annual interest rate (in decimal form)
n = the number of times the interest is compounded per year
t = the number of years
In this case, the principal amount is $200, the annual interest rate is 3% (or 0.03 as a decimal), the interest is compounded monthly (so n = 12), and the time period is 30 years (so t = 30).
Plugging in these values into the formula:
A = 200(1 + 0.03/12)^(12*30) - 200
Now we can simplify and calculate:
A = 200(1.0025)^(360) - 200
A = 200(2.208040033) - 200
A ≈ 441.6080066 - 200
A ≈ 241.6080066

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I found the graph, the answer should be 25$

Answer:

If a tangent segment and a secant segment intersect outside a circle, then the square of the measure of the tangent segment equals the product of the measures of the secant segment and its external portion.

42^2 = (18 + x)(18)

1,764 = 18(x + 18)

x + 18 = 98

x = 80

So the diameter of the reservoir is 80 meters.

The diameter of the reservoir shown above can be calculated based on the intersecting secant-tangent theorem as: 80 meters.

A diameter is a straight line segment that crosses the center of a circle thereby connecting two points on its circumference and it is twice the length of the radius of a circle.

To find the diameter (x), apply the intersecting secant-tangent theorem which states that:

AB² = AC(x + CA)

Substitute:

42² = 18(x + 18)

1,764 = 18x + 324

1,764 - 324 = 18x

1,440 = 18x

1,440/18 = x

x = 80 meters.

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Answer:

width is 3.56

Step-by-step explanation:

Area is = width x length

so Area/length

so 56.96/16=3.56

The width of the rectangle is 3.56 m and the perimeter is 39.12 m.

To find the width of the rectangle,

We need to use the formula for the area of a rectangle, which is:

Area = Length x Width

We know that the area of the rectangle is 56.96 m², and the length is 16 m. So,

We can substitute these values into the formula and solve for the width:

56.96 m² = 16 m x Width

Width = 56.96 m² / 16 m

Width = 3.56 m

Therefore, the width of the rectangle is 3.56 m.

To find the perimeter of the rectangle,

We need to use the formula:

Perimeter = 2 x Length + 2 x Width

We know that the length is 16 m and the width is 3.56 m,

So we can substitute these values into the formula and solve for the perimeter:

Perimeter = 2 x 16 m + 2 x 3.56 m

Perimeter = 32 m + 7.12 m

Perimeter = 39.12 m

Therefore, the perimeter of the rectangle is 39.12 m.

In conclusion, the width of the rectangle is 3.56 m and the perimeter is 39.12 m when the area is 56.96 m² and the length is 16 m.

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Answer:

es 38 la respuesta

Step-by-step explanation:

jjj ok lhhjjjhhghgghhhh

it will be 38

Step-by-step explanation:

because if you do 9x5 is give you 45 and add 1 gives you 46 and the if you subtract 8 if give you 38

The simplest form of the expression as we have it is; (-4x^4z^2)(2xy^3z^2)

When we are asked to simplify, what we are asked to do is to write the expression that we have in a form that is simplest. That is, we should put the expression in a form that there would not be any simpler presentation of the expression.

We have;

(-2x^2z)^2(2xy^3z^2)

Then we now have to deal with the exponent outside the bracket;

(-4x^4z^2)(2xy^3z^2)

Thus, we now have the expression in the simplest form that it can take and it can not be further broken down.

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B = 7x - 6 is the correct answer.

a. The SVD of A is given by A = UΣ\(V^T\).

b. The four fundamental subspaces are:

  1. Column space (range) of A: Span{v1, v2, ..., vr}

  2. Null space (kernel) of A: Span{v(r+1), v(r+2), ..., vn}

  3. Row space (range) of \(A^T\): Span{u1, u2, ..., ur}

  4. Null space (kernel) of \(A^T\): Span{u(r+1), u(r+2), ..., um}

The Unique Value A matrix is factored into three separate matrices during decomposition. As a result, A = UDVT can be used to define the singular value decomposition of matrix A in terms of its factorization into the product of three matrices.

To find the singular value decomposition (SVD) of a matrix A, we need to perform the following steps:

(a) Find the Singular Value Decomposition (SVD):

  Let A be an m x n matrix.

  1. Compute the singular values: σ1 ≥ σ2 ≥ ... ≥ σr > 0, where r is the rank of A.

  2. Find the orthonormal matrix U: U = [u1 u2 ... ur], where ui is the left singular vector corresponding to σi.

  3. Find the orthonormal matrix V: V = [v1 v2 ... vn], where vi is the right singular vector corresponding to σi.

  4. Construct the diagonal matrix Σ: Σ = diag(σ1, σ2, ..., σr) of size r x r.

       Then, the SVD of A is given by A = UΣ\(V^T\).

(b) Write an orthonormal basis for each of the four fundamental subspaces of A:

  The four fundamental subspaces are:

  1. Column space (range) of A: Span{v1, v2, ..., vr}

  2. Null space (kernel) of A: Span{v(r+1), v(r+2), ..., vn}

  3. Row space (range) of \(A^T\): Span{u1, u2, ..., ur}

  4. Null space (kernel) of \(A^T\): Span{u(r+1), u(r+2), ..., um}

Note: The specific values for U, Σ, and V depend on the matrix A given in the problem statement. Please provide the matrix A for further calculation and more precise answers.

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Answer:

c=15

Step-by-step explanation:

2c+4p=62

2p+18(2)=62

2p=26

p=13

sub p=13 into c+p=18, c+13=18

                                        c=5

Answer:

THATS MADDDD CAPPPP U NEED 25 POINTS OF THE QUESTION FOR BRAINLIEST

Answer:

I would need to hear it.

Step-by-step explanation:

Answer:

1 1/2

Step-by-step explanation:

1+1= 2.

1/2+1/2= 1.

So add those up and you get 3. Please mark me brainliest?

The number of possible permutations of the three letters C, D, and E is d.6

A permutation is an arrangement of objects in a specific order. In this case, we are looking at the number of possible arrangements of the three letters C, D, and E. To find the number of permutations, we can use the formula:

n! = n x (n-1) x (n-2) x ... x 3 x 2 x 1

where "n" is the number of distinct objects to be permuted.

So for our problem, we have three distinct objects (C, D, and E). Therefore, we can plug in n=3 to get:

3! = 3 x 2 x 1 = 6

This means there are 6 possible ways to arrange the letters C, D, and E in different orders. We can list all of these permutations as follows:

CDE

CED

DCE

DEC

ECD

EDC

So the answer to the question is 6, as given in option (d).

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Answer: \(a^{2} +b^{2} =c^{2}\)

the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle.

Answer:

( 3 , 4 )

Step-by-step explanation:

Midpoint Formula: ( (x1+x2)/2 , (y1+y2)/2 )

Distance Formula: d = √[(x1-x2)^2 + (y1-y2)^2]

Gradient (Slope) Formula: (y2-y1) / (x2-x1)

Midpoint Formula:

( (x1+x2)/2 , (y1+y2)/2 )

(2,3) and (4,5)

( (2+4)/2 , (3+5)/2 )

( (6)/2 , (8)/2 )

( 3 , 4 )

wyzant sean w

Approximately 376 square inches need to be painted to cover the entire surface of the box.

To find the total surface area of the box, we need to add up the areas of all six faces. The formula for the surface area of a rectangular prism (which is the shape of the box) is:

SA = 2lw + 2lh + 2wh

where l, w, and h are the length, width, and height of the box, respectively.

So to find the number of square inches that need to be painted to cover the entire surface of the box, we need to calculate the surface area using the formula above.

Let's assume that the dimensions of the box are as follows:

length (l) = 10 inches

width (w) = 6 inches

height (h) = 8 inches

Then the surface area of the box would be:

SA = 2lw + 2lh + 2wh

= 2(10 x 6) + 2(10 x 8) + 2(6 x 8)

= 120 + 160 + 96

= 376 square inches

Therefore, approximately 376 square inches need to be painted to cover the entire surface of the box.

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1. There are 180 integers between 100 and 999 inclusive that are divisible by 5.

2. There are 225 integers between 100 and 999 inclusive that are divisible by 4.

3. There are 45 integers between 100 and 999 inclusive that are divisible by both 4 and 5.

4. There are 360 integers between 100 and 999 inclusive that are divisible by either 4 or 5.

5. There are 135 integers between 100 and 999 inclusive that are divisible by 5 but not by 4.

To solve these questions, we can analyze the divisibility of the numbers between 100 and 999 inclusive by the given factors.

1. Divisible by 5: The multiples of 5 between 100 and 999 inclusive are 100, 105, 110, ..., 995. The number of such multiples can be calculated by finding the difference between the highest and lowest multiples and adding 1: (995 - 100)/5 + 1 = 180.

2. Divisible by 4: The multiples of 4 between 100 and 999 inclusive are 100, 104, 108, ..., 996. Similar to the previous calculation, the number of such multiples is (996 - 100)/4 + 1 = 225.

3. Divisible by both 4 and 5: To find the numbers that are divisible by both 4 and 5, we need to find the common multiples of 4 and 5. The least common multiple of 4 and 5 is 20. So, we count the multiples of 20 between 100 and 999 inclusive: 100, 120, 140, ..., 980. The number of such multiples is (980 - 100)/20 + 1 = 45.

4. Divisible by 4 or 5: We need to find the numbers that are divisible by either 4 or 5. This includes all the numbers divisible by 4, all the numbers divisible by 5, and the numbers divisible by both 4 and 5. Using the counts from previous calculations, we can add them together: 225 + 180 - 45 = 360.

5. Divisible by 5 but not 4: We want to find the numbers that are divisible by 5 but not by 4. From the previous calculations, we know that there are 180 numbers divisible by 5 and 45 numbers divisible by both 4 and 5. So, we subtract the numbers divisible by both 4 and 5 from the numbers divisible by 5: 180 - 45 = 135.

Between 100 and 999 inclusive:

1. There are 180 integers divisible by 5.

2. There are 225 integers divisible by 4.

3. There are 45 integers divisible by both 4 and 5.

4. There are 360 integers divisible by either 4 or 5.

5. There are 135 integers divisible by 5 but not by 4.

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Answer:

7 is correct.

There are 4 small triangles, 2 medium-sized triangles, and 1 large triangle.

a. The efficiency of Expedition Everest is approximately 87.8%.

b. The utilization of Expedition Everest is approximately 94.7%.

c.  The demand is greater than the effective capacity, the operation is considered overcapacity. This means that the ride cannot accommodate all the riders who wish to ride, resulting in long waiting times for guests.

To calculate the efficiency and utilization of Expedition Everest, we need to compare the actual number of riders with the design capacity and effective capacity.

Given:

Demand = 3,000 riders/hour

Average riders = 1,800 riders/hour

Design capacity = 2,050 riders/hour

Effective capacity = 1,900 riders/hour

a. Efficiency:

Efficiency is calculated as the average riders divided by the design capacity, multiplied by 100%.

Efficiency = (Average riders / Design capacity) * 100%

= (1,800 / 2,050) * 100%

≈ 87.8%

Therefore, the efficiency of Expedition Everest is approximately 87.8%.

b. Utilization:

Utilization is calculated as the average riders divided by the effective capacity, multiplied by 100%.

Utilization = (Average riders / Effective capacity) * 100%

= (1,800 / 1,900) * 100%

≈ 94.7%

Therefore, the utilization of Expedition Everest is approximately 94.7%.

c. Capacity Analysis:

To determine if the operation is overcapacity or undercapacity, we compare the demand with the effective capacity.

Demand > Effective capacity

3,000 > 1,900

Since the demand is greater than the effective capacity, the operation is considered overcapacity. This means that the ride cannot accommodate all the riders who wish to ride, resulting in long waiting times for guests.

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Answer:

the answer is 17.6cm2 ..