How many solutions does the system have?

y= -5x - 1
y = -5.2 + 7

Answer: -1, -0.65, -1/4

Step-by-step explanation:

The overall heat transfer coefficient (U) represents the combined effect of the individual resistances to heat transfer and depends on the design and operating conditions of the heat exchanger.

The concentric tube heat exchanger with a hot stream having a specific heat capacity of cH = 2.5 kJ/kg.K.

A concentric tube heat exchanger, hot and cold fluids flow in separate tubes, with heat transfer occurring through the tube walls. The parallel flow mode means that the hot and cold fluids flow in the same direction.

To analyze the heat exchange in the heat exchanger, we need additional information such as the mass flow rates, inlet temperatures, outlet temperatures, and the overall heat transfer coefficient (U) of the heat exchanger.

With these parameters, the heat transfer rate using the formula:

Q = mH × cH × (TH-in - TH-out) = mC × cC × (TC-out - TC-in)

where:

Q is the heat transfer rate.

mH and mC are the mass flow rates of the hot and cold fluids, respectively.

cH and cC are the specific heat capacities of the hot and cold fluids, respectively.

TH-in and TH-out are the inlet and outlet temperatures of the hot fluid, respectively.

TC-in and TC-out are the inlet and outlet temperatures of the cold fluid, respectively.

Complete answer:

A concentric tube heat exchanger is built and operated as shown in Figure 1. The hot stream is a heat transfer fluid with specific heat capacity cH= 2.5 kJ/kg.K ...

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Using the normal distribution, we have that the desired information is given as follows:

a) X ~ N(3,1.8).

b) 3 days.

c) Z = 0.5556.

d) 0.33 = 33%.

e) 0.2048 = 20.48%.

f) 5.3 days.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation are given, respectively, by:

\(\mu = 3, \sigma = 1.8\)

Hence the distribution is X ~ N(3,1.8), and, as is standard in the normal distribution, the median is the same as the mean, which is of 3 days.

The Z-score for a patient that took 4 days to recover is Z when X = 4, hence:

Z = (4 - 3)/1.8 = 0.5556.

The probability of spending more than 3.8 days in recovery is one subtracted by the p-value of Z when X = 3.8, hence:

Z = (3.8 - 3)/1.8 = 0.44.

Z = 0.44 has a p-value of 0.67.

1 - 0.67 = 0.33.

The probability is of 0.33 = 33%.

The probability of spending between 3.2 and 4.2 days in recovery is the p-value of Z when X = 4.2 subtracted by the p-value of Z when X = 3.2, hence:

X = 4.2:

Z = (4.2 - 3)/1.8

Z = 0.67.

Z = 0.67 has a p-value of 0.7486.

X = 3.2:

Z = (3.2 - 3)/1.8

Z = 0.11.

Z = 0.11 has a p-value of 0.5438.

0.7486 - 0.5438 = 0.2048 = 20.48%.

The 90th percentile is X when Z = 1.28, hence:

1.28 = (X - 3)/1.8

X - 3 = 1.8 x 1.28

X = 5.3 days.

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The Second Law of Probability states that the chance of combined events occurring is determined by the product of the chances of each separate event occurring.

The Second Law of Probability, also known as the Multiplication Rule, describes the relationship between the probability of separate events and the probability of combined events. According to this rule, if we have two or more independent events, the probability of both events occurring together is found by multiplying the probabilities of each individual event. This can be extended to more than two events by continuing to multiply the probabilities.

For example, if we have Event A with a probability of P(A) and Event B with a probability of P(B), the probability of both events A and B occurring simultaneously is given by P(A and B) = P(A) * P(B). This rule applies to any number of independent events.

The Second Law of Probability allows us to calculate the probability of complex events by breaking them down into separate, independent components. It provides a fundamental principle for determining the likelihood of combined events based on the probabilities of their individual occurrences.

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Answer:

x=8,4

Step-by-step explanation:

have a great day and thx for your inquiry :)

Answer: (1, 8)

Step-by-step explanation:

Substitute y = 3x + 5 into the equation 2x + 3y = 26:

2x + 3(3x + 5) = 26

2x + 9x + 15 = 26

11x = 26 - 15

11x = 11

x = 1

Substitute the value of x into the equation y = 3x + 5:

y = 3(1) + 5 = 3 + 5 = 8

The rate of return of approximately 17.95% in the third year would produce a cumulative gain of 7% after two consecutive years of 6% losses.


To solve the problem completely, let's calculate the rate of return required in the third year to achieve a cumulative gain of 7% after two consecutive years of 6% losses.

1. Calculate the total loss over the two years:

  Total loss = (1 - 0.06) * (1 - 0.06) = 0.9416

2. Calculate the target cumulative gain:

  Cumulative gain = 1 + 0.07 = 1.07

3. Set up the equation to solve for the rate of return:

  1 + Rate of return = Cumulative gain / (1 - Total loss)

4. Substitute the values into the equation:

  1 + Rate of return = 1.07 / (1 - 0.9416)

  1 + Rate of return = 1.07 / 0.0584

5. Solve for the rate of return:

  Rate of return = (1.07 / 0.0584) - 1

  Rate of return ≈ 17.95%

Therefore, a rate of return of approximately 17.95% in the third year would be needed to achieve a cumulative gain of 7% after two consecutive years of 6% losses.

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X = 4×3 X + 7

Resultado

X = 12 X + 7

Forma alternativa

-11 X - 7 = 0

X = -7/11

Answer:

Slope is 2

Y-intercept is 7

Step-by-step explanation:

To find the slope we take any two points from the table

and use it in the formula :

\(m=\frac{y_2-y_1}{x_2-x_1} \\\)

we take the points (0,7) and (1,9)

now we put these points in the formula and it becomes

\(m=\frac{9-7}{1-0}\)

\(m=2\)

so our slope which is m is 2 and now for the y-intercept we use the standard equation

\(y=mx+c\)

where c is the y-intercept

we use the value of m which is 2 and use any point from the table lets take (0,7)

\(y=mx+c\\7=(2)(0)+c\\7=c\)

our y-intercept which is c is 7

so finally our slope is 2 and y-intercept is 7

Line segment AB is a straight line connecting two distinct points, A and B, on a plane. It has a start point (A) and an endpoint (B) and can be measured by its length.

Line segment AB is a straight line that connects two distinct points, A and B, on a plane. It is the shortest distance between two points, and is always a straight line. A line segment can be measured by its length, which is the distance between its start point (A) and its endpoint (B). It can also be measured by its midpoint, which is the point on the line that is equidistant from both A and B. Line segments can be used to create many different shapes and figures, such as triangles and polygons. Line segments can also be used to measure distances on a map, or to illustrate a path from one location to another. Line segment AB can be used to represent any two points on a plane, and is a fundamental building block of geometry.

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Answer: 70%

Step-by-step explanation:

A basket contains:

5 yellow balls

3 blue balls

2 white balls

What would be the probability of randomly picking a ball and the ball not being blue?

So, we can find the probability of picking up a blue ball. Let's do that first.

To calculate the probability of getting a blue ball, we need to divide the number of blue balls by the number of possible balls.

The number of blue balls = 3

The total number of balls = 2 + 3 + 5 = 10 balls

3 blue balls divided by 10 balls = 0.3.

If you multiply 0.3 by 100%, it will give you a probability of finding a blue ball equal to 30%

Now, we just need to find the probability of NOT finding a blue ball. Because we have 30% of finding a blue ball, we just need to subtract 30% from 100%.

100 - 30$ = 70%

The probability of not getting a blue ball is equal to 70%.

Hope I Helped!

\(|\Omega|=5+3+2=10\\|A|=5+2=7\\\\P(A)=\dfrac{7}{10}=70\%\)

Answer:

Step-by-step explanation:

0.10 i think if its multiple choice

Answer: mandatory and discretionary.

By solving the linear matrices we got the values X = 1000000  , Y = 800000 ,  Z = 200000

According to algebra, an equation is a statement that shows the equality of two mathematical expressions. For instance, the equation 4x + 5 = 15 consists of the two equations 4x + 5 and 15, which are separated by the 'equal' sign.

According to the given information

X + Y + Z  =  2000000

0.07X + 0.085Y + 0.095Z = 157000

Y = 4Z

Y = 4Z is substituted into the first and second equations as follows:

X + 5Z = 2000000

0.07X + 0.085 (4Z) + 0.095Z = 157000

X = 2000000 - 5Z

0.07X + 0.435Z = 157000

0.07 (2000000 - 5Z) + 0.435Z = 157000

140000 - 0.35Z + 0.435Z = 157000

0.085Z + 140000 = 157000

0.085Z = 17000

Z = 200000

Y = 800000

X = 1000000

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To determine the probability that a random sample of 400 U.S. adults will provide a sample proportion within 0.09 of the population proportion, we can use the concept of margin of error and the Central Limit Theorem.

The Central Limit Theorem states that the distribution of sample proportions approaches a normal distribution as the sample size increases, given that the sample size is sufficiently large (typically n ≥ 30). In this case, our sample size is 400, which is large enough.

To find the margin of error, we can use the formula: E = Z * sqrt(p * (1 - p) / n), where E is the margin of error, Z is the Z-score corresponding to the desired level of confidence, p is the population proportion, and n is the sample size.

In this problem, we are given the margin of error as 0.09. Unfortunately, we don't have enough information to determine the exact Z-score or the population proportion (p). However, we can still analyze the given answer choices: 99.968%, 0.032%, 16%, and 84%.

Considering that our margin of error is 0.09 and our sample size is sufficiently large, it's highly likely that the sample proportion will fall within this range. Thus, the correct answer should be the highest probability among the given choices, which is 99.968%.

In conclusion, the probability that a random sample of 400 U.S. adults will provide a sample proportion within 0.09 of the population proportion is approximately 99.968%.

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The graph that shows the solutions to the inequality is the last graph.

Here we have the inequality:

-3.55g ≤ -28.4

To solve this, we need to isolate g, we can divide both sides by -3.55

g ≤ -28.4/-3.55 = 8

g ≤ 8

Then we must have a black dot at x = 8, and we shade the region to the left of it, meaning that the correct graph is the last one.

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The measure of angle WXY can be found by setting up an equation using the given measures of arcs WVX and angles WXZ.

In a circle, the measure of an inscribed angle is equal to half the measure of its intercepted arc. We are given that the measure of arc WVX is 13x + 9 and the measure of angle WXZ is 5x + 36. To find the measure of angle WXY, we set up an equation:

m<WXY = 0.5 * (m<WVX)

Substituting the given values, we have:

m<WXY = 0.5 * (13x + 9)

Simplifying, we get:

m<WXY = 6.5x + 4.5

Therefore, the measure of angle WXY is represented by the expression 6.5x + 4.5, which depends on the value of x. Without additional information, we cannot determine the exact measure of angle WXY.

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Answer:

n - 3 > 5

Number = "n"

Less than = (minus sign) -

Greater than = >

Answer:

3.507 x 107 in scientific notation.

Answer:

3.507 x 10^7 is the answer to your question.

Answer:

The slope is 6

Step-by-step explanation:

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

Distribute the 2

f(x)=2*3x-2*7

f(x) = 6x -14

This is in slope intercept form

y = mx+b  where m is the slope and b is the y intercept

The slope is 6 and the y intercept is -14

The slope is 6

The value of 3 - x/4 is (12-x)/4

An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.). Expressions are made up of terms.

For example 5x+2 = 10 is an example of algebraic expression. Where x is the variable.

Also 10-y/6 is also an algebraic expression with fractions.

To solve 3 - x/4

using L.C.M method

(12- x)/4

therefore the value of 3 -x/4

=( 12-x)/4

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A. The y-intercept is at the point (0, 0).

B.  The zeros are x = 0 or x = ±√5

C.

A) The y-intercept of this graph is the point where x = 0.

When  x = 0, the value of y

= 0^4 - 5*0^2

= 0.

Therefore, the y-intercept is at the point (0, 0).

B) The x-intercepts/roots of the function are the values of x that make y = 0.

To find these values, we need to set y = 0 and solve for x:

x⁴ - 5x² = 0

x⁴ = 5x²

x² = x⁴/5

x = ±√(x⁴/5)

We can simplify this expression by factoring x² out of both sides:

x²(x² - 5) = 0

x² = 0 or x² - 5 = 0

x = 0 or x = ±√5

hence the x-intercepts are at x = 0 and x = ±√5.

C) The end behavior of this function refers to how the graph of the function approaches the x-axis as x approaches positive infinity and negative infinity.

x → ∞ f(x) → ∞

x → -∞ f(x) → -∞

D) The graph is attached

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Answer:

A=(0,2)

B=(2,0)

C=(0,-2)

D=(-2,0)

Step-by-step explanation:

tbh I think iw

Slide left or right first, then go up and down

horizontal then vertical

Hope this helps :D

Answer:

\(19 sq.\ units\)

Step-by-step explanation:

The best way to approach this is to figure out the area of the overall square, then remove any gaps.

The overall square is 5 by 5 so the area is:

\(A_t = s * s = 5 * 5 = 25\ sq.\ units\)

There are 5 gaps in the shape of triangles, we will use the formula: \(A = \frac{bh}{2}\), and subtract from the total.

1. (Top left)

\(A_1 = \frac{bh}{2} = \frac{2 * 1}{2} = 1\)

2. (Top right)

\(A_2 = \frac{bh}{2} = \frac{2 * 1}{2} = 1\)

3. (Bottom left)

\(A_3 = \frac{bh}{2} = \frac{2 * 1}{2} = 1\)

4. (Bottom center)

\(A_4 = \frac{bh}{2} = \frac{2 * 1}{2} = 1\)

5. (Bottom right)

\(A_3 = \frac{bh}{2} = \frac{2 * 2}{2} = 2\)

The total triangle area is:

\(A = 1 + 1 + 1 + 1 + 2 = 6\)

Subtract from total area to actual area:

\(A_s = A_t - A = 25 - 6 = 19 sq.\ units\)

m = 2I - 1

m + I = 46

The required system of the equations is m + l = 46 and m = 2l - 1.

Given that,

Ricardo has two types of assignments for his class.
The number of mini assignments, m.he has is 1 fewer than twice the number of long assignments. he has 46 assignments in total.
The system of the equation is to be determined.

In mathematics, it deals with numbers of operations according to the statements.

The equation is the values of two expressions that are equal.

Here,
The number of mini assignments, m.he has is 1 fewer than twice the number of long assignments.

m = 2l - 1

he has 46 assignments in total,

l + m = 46

Thus, the required system of the equations is m + l = 46 and m = 2l - 1.

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Answer:

The answer is True.

Step-by-step explanation:

If you multiply everything from the smaller trapezoid by 3 you get the numbers of the larger trapezoid

8 x 3 = 24

7.6 x 3 = 22.8

5 x 3 = 15

15 x 3 = 45