If you put 90ml of concentrate in a glass, how much water should be added?

Answer:

The customer bought 8 DVDs for $120.00

Step-by-step explanation:

120*15=8 DVDS or as a ratio 8:1

Statistical time division multiplexing is sometimes called asynchronous time division multiplexing. The correct answer is "c. asynchronous."

Statistical time division multiplexing is sometimes called asynchronous time division multiplexing. However, it should be noted that statistical time division multiplexing is different from synchronous time division multiplexing, which divides the time slots in a fixed, predetermined manner. In statistical time division multiplexing, the time slots are allocated dynamically based on the data traffic, hence the term "statistical".

More specifically, asynchrony describes the relationship between two or more events/objects that interact in the same system but do not occur in a predetermined manner and are not necessarily dependent on each other's existence for escape. They do not cooperate with each other, which means they may or may not occur simultaneously as they have their own separate processes.

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The product of two unit step functions in the s-domain (u(s)u(s)) is equivalent to a ramp function in the time domain.

The unit step function u(t) is defined as 0 for t<0 and 1 for t≥0. When we take the Laplace transform of the unit step function, we get 1/s. Therefore, the product of two unit step functions can be written as:

u(t)u(t) = 1/s * 1/s

= 1/s²

Taking the inverse Laplace transform of 1/s² gives us a ramp function, which is defined as:

r(t) = t*u(t)

Therefore, the product of two unit step functions in the s-domain (u(s)u(s)) is equivalent to a ramp function in the time domain.

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Answer: 0.12

Step-by-step explanation: Well since 5/5=1 and in this case 3/5 of 0.2 or

3/5 x 0.2 = 0.12miles of the bridge is finished. to check do 0.2*2/5 since 2/5+3/5=5/5 or the total 0.2miles. so 0.2*2/5 =0.8 and 0.8+0.12= 0.2

The solution set of Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26 is x ≤ 21

Inequalities are expressions that have <, >, ≤ or ≥. Therefore,

let the number = x

Five times the sum of a number and 27 is as follows:

5(x + 27)

Six times the sum of that number and 26 is as follows:

6(x + 26)

Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26 is as follows:

5(x + 27) ≥ 6(x + 26)

Therefore,

5(x + 27) ≥ 6(x + 26)

5x + 135 ≥ 6x + 156

-x ≥ 21

x ≤ 21

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Answer:

ITS B

Step-by-step explanation:

took the test

Answer:

y = 44

Step-by-step explanation:

Slopes of parallel lines are equal.

P(15, 7)

Q(20, 14)

\(m_{PQ}\) = \(\frac{14-7}{20-15}\) = \(\frac{7}{5}\)

G(3, 2)

F(33, y)

\(m_{PQ}\) = \(m_{GF}\) = \(\frac{y-2}{33-3}\) = \(\frac{7}{5}\)

5(y - 2) = 7(30)

y - 2 = 42

y = 44

Answer:

y=-3x+4

put x =0

y=-3(0)+4

y=4

putx=1

y=-3(1)+4

y=-3+4

y=1

The area of the base is 1/2 x s x s = 1/2 x 12 x 12 = 72 square cm

Volume = area of base x height/3

Volume = 72 x 14/3 = 336 cm^3

The expression equivalent to x⁶ - 9 is : (x³)² - 3²

A statement is considered to be an expression if it contains at least two numbers or variables and one mathematical action.

Power is the factor that is multiplied by itself, and exponent is the number of times the same base number has been multiplied.

Calculation:

we have given ,

x⁶ - 9

now we know that,

(xᵃ)ᵇ - yᵇ

similarly,

(x³)² - 3² = x⁶- 9.

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Answer:

The books in the library are 1040

Fitness mania is cheaper as $200 < $240

Answer:

-3

Step-by-step explanation:

The fastest way to solve this problem is to multiply each side of the given equation by in order to get rid of the fraction. After you do this you should have:

Then multiply \((-8x-3)\) and \((ax-2)\) using FOIL:

\(24^2+25x-47=-8ax^2-3ax+16x+6-53\)

Then reduce on the right side of the equation:

\(24x^2+25x-47=-8ax^2-3ax+16x-47\)

Because the coefficients of the \(x^2\) term have to be equal on both sides of the equation, reduce from \(-8a=24\) to \(a = -3\) by dividing both sides by \(-8\).

Answer:

a is 10

b is 37

Step-by-step explanation:

Now we must agree that the diagram above is a parallelogram.

this figure has its opposite sides parallel to each other, and also equal to each in length, this means a+5=15.

hence a is 10.

and the opposite angles of the parallelogram are equal thus, 111=3b,

hence b is 37°.

I must say I was shocked to see 111 is divisible by 3...

well you can follow me, for questions or further explanations.

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Answer: Screenshot below!

I hope this helped!

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the general solution of the given differential equation is:

y = (1/|x|^2) [(1/5)x^5 - (1/3)x^3 + C]

where C is the constant of integration.

To find the general solution of the given differential equation, we need to solve for y in terms of x. The differential equation is:

What is Integrating factor?

x dy/dx + 2y = x^3 - x

To solve this, we can use an integrating factor. First, we rearrange the equation in the standard form:

dy/dx + (2/x) y = (x^3 - x)/x

The integrating factor (IF) is defined as the exponential of the integral of the coefficient of y. In this case, the coefficient is (2/x), so the IF is:

IF = exp(∫(2/x) dx)

= exp(2 ln|x|)

= exp(ln|x|^2)

= |x|^2

Now, we multiply both sides of the differential equation by the integrating factor:

|x|^2(dy/dx) + (2|x|^2 / x) y = (x^3 - x)|x|^2 / x

Simplifying this expression, we have:

|x|^2(dy/dx) + 2|x|y = (x^3 - x)|x|

Now, we can rewrite the left-hand side as the derivative of (|x|^2y) with respect to x:

d/dx (|x|^2y) = (x^3 - x)|x|

Integrating both sides with respect to x, we get:

∫ d/dx (|x|^2y) dx = ∫ (x^3 - x)|x| dx

|x|^2y = ∫ (x^4 - x^2) dx

Integrating further, we have:

|x|^2y = (1/5)x^5 - (1/3)x^3 + C

Finally, we can solve for y:

y = (1/|x|^2) [(1/5)x^5 - (1/3)x^3 + C]

Therefore, the general solution of the given differential equation is:

y = (1/|x|^2) [(1/5)x^5 - (1/3)x^3 + C]

where C is the constant of integration.

to knkow more about Integrating factor viait"

Find the inverse Laplace transforms of the following functions. First, perform partial-fraction expansion on G(s); then, use the Laplace transform table. (a). G(s)= 1 / s(s+2)(s+3) (b). G(s)= 10 / (s +1)^2(s+3) (c). G(s)= [100(s+2) / s(s^2 + 4)(s+1)] e^-x

(d). G(s)= 2(s+1) / s(s^2+s+2) (e). G(s)= 1 / (s+1)^3 (f). G(s)= 2(s^2+s+1) / s(s+1.5)(s^2 +5s+5)

(g). G(s)= [2+2se^(-x) + 4e^(-2x)] / [s^2 + 3s + 2] (h). G(s) = 2s+1 / (s^2 + 6s^2 +11s +6)

(i). G(s) = (3s^3 + 10s^2 + 8s + 5) / (s^4 + 5s^3 + 7s^2 + 5s +6)

Answer:

\(\huge\boxed{\sf 995.4 in.\²}\)

Step-by-step explanation:

Area of the circle:

= πr²

Where r = 21 in.

= (3.14)(21)²

= (3.14)(441)

= 1385.4 in.²

Area of triangle:

= \(\sf \frac{1}{2} (Base)(Height)\)

Where Base = 20 in. , Height = 39 in.

= \(\sf \frac{1}{2} (20)(39)\)

= (10)(39)

= 390 in.²

Area of the shaded region:

= Area of the circle - Area of the triangle

= 1385.4 - 390

= 995.4 in.²

\(\rule[225]{225}{2}\)

Hope this helped!

No, it is not true that ∫_0^1 l(θ | x0) dθ = 1. The integral of the likelihood function l(θ | x0) over the parameter space [0, 1] does not necessarily equal 1.

The likelihood function l(θ | x0) measures the probability of observing the data x0 given the parameter value θ. It is a function of the parameter θ, and not a probability distribution over θ.

Therefore, the integral of the likelihood function over the parameter space does not have to equal 1, unlike the integral of a probability density function over its support.

In fact, the integral of the likelihood function over the parameter space is often referred to as the marginal likelihood or the evidence, and is used in Bayesian inference to compute the posterior distribution of the parameter θ given the data x0. The marginal likelihood is given by: ∫_0^1 l(θ | x0) p(θ) dθ

where p(θ) is the prior distribution of the parameter θ. The marginal likelihood is used to normalize the posterior distribution so that it integrates to 1:
p(θ | x0) = l(θ | x0) p(θ) / ∫_0^1 l(θ | x0) p(θ) dθ

In conclusion, the integral of the likelihood function over the parameter space does not necessarily equal 1, and is used in Bayesian inference to compute the posterior distribution of the parameter θ given the data x0.

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Answer:

Step-by-step explanation:

9) 12/n=20/25

simplify 20/25=4/5

12/n=4/5

cross product

n*4=12*5

4n=60

n=60/4

n=15

The missing proportion in each of the following problems shown below:

Statement of equality between two expressions consisting of variables and/or numbers

9) 12/n=20/25

12/n=4/5

n*4=12*5

4n=60

n=60/4

n=15

10) 5/8=n/24

   8n= 5*24

   8n= 120

    n= 120/8

    n=15

11) 2/3= 16/n

   2n=48

   n=24

12) 12/14= n/21

     n=18

13) n/10 = 6/15

    n=4

14)  12/3 = 10/n

     n= 2.5

15) 5/n = 10/16

       n=8

16) 12/8 = 4/n

     n=8/3

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Answer:

(0, -2)

(-3, 1)

(3, -4)

Step-by-step explanation:

The constraints given as;

x + y ≥ -2

3x - y ≤ 2

x - y ≥ -4

Since we want to find vertices of the feasible region, we will ignore the less than or greater than sign and use the equal to sign to some simultaneously.

Let's add first and third constraint together to get;

2x = -6

x = -6/2

x = - 3

Put - 3 for x in equation 1 to get;

-3 + y = -2

y = 3 - 2

y = 1

Thus, vertex here is; (-3, 1)

Lets add first and third equations to get;

4x + 0 = 0

Thus, x = 0

Putting this for x in eq 1;

0 + y = -2

y = -2

vertex here is; (0, -2)

Lets subtract eq 3 from eq 2 to get;

2x = 6

x = 6/2

x = 3

Put 3 for x in eq 3;

x - y = -4

vertex here is; (3, -4)

To modify and graph the system of inequalities:

Modify the first inequality:

Multiply both sides of the inequality by -1 to change the direction of the inequality sign:

-(x + 5y) < 10

Graph the modified inequalities on a coordinate plane:

For the first inequality, plot the line x + 5y = -10. To do this, find two points that satisfy the equation (e.g., when x = -10, y = 2 and when x = 0, y = -2). Draw a dashed line passing through these points to represent the inequality.

For the second inequality, graph the line x + y = 4. Find two points that satisfy the equation (e.g., when x = 4, y = 0 and when x = 0, y = 4). Draw a solid line passing through these points to represent the inequality.

Shade the region that satisfies both inequalities. Since the second inequality has the symbol ≤, shade the region below the line x + y = 4.

The shaded region where the two lines intersect represents the solution to the system of inequalities.

Note: The instructions provided here assume a two-dimensional graph. However, without specific values, it is not possible to draw an accurate graph.

The process described above should be followed once the specific values are provided.

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Answer:

  see attached

Step-by-step explanation:

The attachment is my effort to complete the proof. It appears to me the idea is to show that B=3+1 and that 1=3+C. Then you substitute (3+C) for 1 and you've got the proof you want.

_____

The given statements and reasons are intended to give you enough clues that you can figure out the logic that is being used. Once you have done that, you fill in the missing details.

The best estimate of the product is b) 1 times 10.

The expression (7/8)8(1/10) can be simplified by canceling out the factor of 8 in the numerator and denominator. This yields the expression 7/10. Therefore, the best estimate of this expression would be 1 times 10, since 7/10 is closest to 1 when rounded to the nearest whole number, and 10 is the closest whole number to the denominator of 7/10.

Thus, the answer is option b, 1 times 10. It is important to note that when estimating products or other mathematical expressions, it is important to consider the context and choose an estimate that is reasonable and makes sense in the given situation.

Correct Question :

Which expression is the best estimate of the product of (7/8)8(1/10)?

a) 0 times 8

b) 1 times 10

c) 7 times 8

d) 1 times 8

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the cost is lower when using the service every 10 days, the hotel should use the pickup-and-delivery service every 10 days to minimize costs.

To determine how often the hotel should use the pickup-and-delivery service, we need to compare the costs of storing the dirty towels and clean towels with the costs of the pickup-and-delivery service.

Let's calculate the costs of storing the towels:

Dirty towel storage cost per day: 600 towels x $0.02 = $12 per day

Clean towel storage cost per day: 600 towels x $0.01 = $6 per day

Next, let's calculate the costs of the pickup-and-delivery service:

Fixed charge per pickup and delivery service: $81

Variable cost per towel: 600 towels x $0.60 = $360

Now, let's compare the costs:

If the hotel uses the pickup-and-delivery service every 10 days, the total cost would be:

10 days  ($12 + $6) + $81 + $360 = $267

If the hotel uses the pickup-and-delivery service every 9 days, the total cost would be:

9 days  ($12 + $6) + $81 + $360 = $255

Since the cost is lower when using the service every 10 days, the hotel should use the pickup-and-delivery service every 10 days to minimize costs.

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The 6.02 line of best fit is a straight line that best represents the trend or pattern of association between two variables on a scatter plot. It is also known as the regression line.

What is regression line?

In the context of MS Pre-Algebra S2 V16.2, the line of best fit is used to analyze patterns of association between two sets of data. For example, if we have data on the height and weight of a group of individuals, we can use a scatter plot to visualize the relationship between these two variables.

By drawing a line of best fit through the data points, we can see the general trend or pattern of association between height and weight. This line can then be used to make predictions about the weight of an individual based on their height, or vice versa. The line of best fit is a useful tool for analyzing patterns of association in a variety of fields, including statistics, economics, and social sciences.

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Complete question is: The 6.02 line of best fit is a straight line that best represents the trend or pattern of association between two variables on a scatter plot.

The value of x is approximately 2.8462° and the value of maN is 37°.

To find the value of x and maN, we need to use the given information. According to the question, maN is equal to (13x)°.
To solve for x, we can set up an equation:
maN = (13x)°
Now, since we know that maN is equal to 37°, we can substitute this value into the equation:
37° = (13x)°
To isolate x, we divide both sides of the equation by 13:
37° / 13 = (13x)° / 13
This simplifies to:
2.8462° ≈ x°
Therefore, the value of x is approximately 2.8462°.
Now, let's find the value of maN. We already know that maN is equal to (13x)°. Substituting the value of x that we just found, we get:
maN = (13 * 2.8462)°
Simplifying the multiplication:
maN = 37°
So, the value of maN is 37°.
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The expected value of your net winnings, x, is $1.39.

To find the expected value of x (net winnings), first calculate the probability of each outcome and multiply it by the respective winnings. There are 6 sides on each die, so there are 36 possible outcomes (6 sides on red die * 6 sides on blue die).

1. Winning $5: Sum of 5, 6, or 8 has 4+5+5 = 14 successful outcomes. Probability = 14/36.
2. Winning $2: Sum of 4, 9, or 10 has 3+4+3 = 10 successful outcomes. Probability = 10/36.
3. Losing $4: Sum of 2, 3, 7, 11, or 12 has 1+2+6+2+1 = 12 successful outcomes. Probability = 12/36.

Now, multiply each probability by its respective winnings/loss and sum them to find the expected value of x:

E(x) = ($5 * 14/36) + ($2 * 10/36) + (-$4 * 12/36) = $1.39

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Write an equation for each one set the equal to each other and solve.

A: 35 + 3x

B: 27.50 + 4.50x

35 + 3x = 27.50 + 4.50x

Subtract 27.50 from both sides:

7.50 + 3x = 4.50x

Subtract 3x from both sides

7.50 = 1.50x

Divide both sides by 1.50

X = 5

Answer: 5

To simplify a radical expression, we aim to simplify the radical itself by finding perfect square factors and then simplify any remaining factors outside the radical.

For example, if you have the expression √(12x^3), you can simplify it as follows:

√(12x^3) = √(4 * 3 * x^2 * x) = 2x√(3x)

So the simplified form of √(12x^3) is 2x√(3x).

By following these steps, you can simplify radical expressions and write them in a more simplified and concise form.

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