Is the equation y= -x+ 5 linear?

Answer:

v = \(\frac{600-60t}{t}\)

Step-by-step explanation:

Let the trains A and B meet each other after t hours after the departure of a train A.

Distance traveled by train A in t hours \((d_1)\) = Speed × time

                                                                      = 60 × t

Distance traveled by train B \((d_2)\) = v × t

Since, Distance between the cities A and B = 600 km

\(d_1+d_2=600\)

60t + vt = 600

vt = 600 - 60t

v = \(\frac{600-60t}{t}\)

Therefore, expression that the represents the relation between v and t will be,

v = \(\frac{600-60t}{t}\)

11 / 18 = 61%

39% discount given

Answer:it is confusing

Step-by-step explanation:

The graph of the function is shown below:

a)

From the graph we notice that the vertex of the function is at the point:

b)

From the graph we notice that the axis of the function is the line:

C)

Since this is a polynomial its domain is all the real numbers, that is:

d)

From the graph we notice that the range is:

e)

The graph is increasing in the interval:

f)

The graph is decreasing in the interval:

Answer:

P = 25,2 cm

A = 39,69 cm^2

Step-by-step explanation:

All sides lengths of a square are equal

Given:

l (side length) = 6,3 cm

Find: P (perimeter) - ?; A (area) - ?

The perimeter is the sum of all side lengths

P = 4 × l

P = 4 × 6,3 = 25,2 cm

Area is the product of side length and width (square's side length and width are equal)

\(a = {l}^{2} \)

\(a = {6.3}^{2} = 39.69 \: {cm}^{2} \)

Answer:

Use colon method

Step-by-step explanation:

So it is more easy

Answer:

1 rose cost $1.5

1 carnation cost $0.5

Step-by-step explanation:

Let the price for one rose be r, price for one daisies be d and the price for one carnation be c

For Ben;

5r + 8d + 2c = 14.5

For Alex

3r + 12d + c = 14

For Joe

10r + d + 3c = 17.25

From equation iii;

d = 17.25- 10r - 3c

Insert this into the first two equations;

5r + 8(17.25-10r-3c) + 2c = 14.5

5r + 138 - 80r -24c + 2c = 14.5

-75r -22c = -123.5

Thus;

75r + 22c = 123.5

Insert the formula for d in the second equation;

3r + 12(17.25-10r-3c) + c = 14

3r + 207 - 120r -36c + c = 14

-117r-35c = 14-207

117r + 35c = 193

So we have two equations to solve simultaneously;

75r + 22c = 123.5

117r + 35c = 193

Multiply first equation by 35 and second by 22

2625r + 770c = 4322.5

2574r + 780c = 4246

Subtract second from first

51r = 76.5

r = 76.5/51

r = 1.5

Insert this in the equation below;

75r + 22c = 123.5

75(1.5) + 22c = 123.5

112.5 + 22c = 123.5

22c = 123.5-112.5

22c = 11

c = 11/22

c = 0.5

Answer: height = 1.91 m

Step-by-step explanation: Using the formula

V=πr2h

Solving for h

h=V

πr2=37.5

π·2.52≈1.90986m

Answer:

Step-by-step explanation:

First

a+s=375

a=375-s

Next

5a+3s=1375, now using a found above makes this equation become

5(375-s)+3s=1375

1875-5s+3s=1375

1875-2s=1375

-2s=-500

s=250, since a=375-s

a=375-250

a=125

So 125 adult and 250 student tickets were sold.

Answer:

The weight in kilograms of a 150 pound person is 68.039 kg

Step-by-step explanation:

Weight = 150 pounds.

We need to convert this to kg,

Now, 1 pound = 0.453592 kg.

Then, 150 pounds will be,

150 pounds = 150(0.453592) kg

So, 150 pounds = 68.039 kg

The weight of a 150 pound person is approximately 68.04 kilograms.

To convert the weight of a person from pounds to kilograms, we can use the conversion factor of 1 pound = 0.4536 kilograms.

Given that the person weighs 150 pounds, we can multiply this value by the conversion factor to find the weight in kilograms:

Weight in kilograms = 150 pounds * 0.4536 kilograms/pound

Weight in kilograms = 68.04 kilograms

Therefore, the weight of a 150 pound person is approximately 68.04 kilograms.

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High clouds are those that form at altitudes of at least 20,000 ft (6000 m).

At high altitudes, ice crystals form due to which cloud formation occurs.   Cirrus, cirrostratus, and cirrocumulus clouds are a few types of clouds. Cirrostratus clouds frequently form a thin, white layer that resembles a veil and covers the entire sky. Small, spherical, white clouds called cirrocumulus develop in long rows. Because they can provide information about changes in atmospheric pressure, temperature, and moisture levels in the upper atmosphere, these high clouds are crucial for meteorologists to investigate.

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The canonical expression equivalent to sinusoidal model y(t) = 2 · sin (4π · t) + 5 · cos (4π · t) is y(t) = (√ 29) · sin (4π · t + 0.379π) .

Herein we have a simple harmonic motion model represented by a sinusoidal expression of the form y(t) = A · sin (C · t) + B · cos (C · t), which must be transformed into its canonical form, that is, y(t) = A' · sin (C · t + D). We proceed to perform the procedure by algebraic and trigonometric handling.

The amplitude of the canonical function is determined by the Pythagorean theorem:

A' = √(2² + 5²)

A' = √ 29

The angular frequency C  is the constant within the trigonometric functions from the non-canonical formula:

C = 4π

Then, we find the initial position of the weight in time: (t = 0)

y(0) = 2 · sin (4π · 0) + 5 · cos (4π · 0)

y(0) = 5

And now we calculate the angular phase below: (A' = √ 29, C = 4π, y = 5)

5 = √ 29 · sin (4π · 0 + D)

5 / √ 29 = sin D

D ≈ 0.379π rad

The canonical expression equivalent to sinusoidal model y(t) = 2 · sin (4π · t) + 5 · cos (4π · t) is y(t) = (√ 29) · sin (4π · t + 0.379π) .

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Answer:

parallel lines

Step-by-step explanation:

If two lines are parallel it means that they never intersect

the only way for this to happen is when the slopes are identical (and the y intercepts are different)

This is the case

Answer:

7c-3x-37 , this is correct answer

The present ages of the man and his son are 60 years and 25 years, respectively.

Let's assume the present age of the son is x years. According to the given information, five years ago, the man was thrice as old as his son, so the man's age at that time was 3(x - 5) years.

Now, let's consider the future scenario. In 10 years, the man's age will be (3(x - 5) + 10) years, and the son's age will be (x + 10) years.

According to the second given information, the man will be twice as old as his son in 10 years, so we can write the equation:

3(x - 5) + 10 = 2(x + 10)

Simplifying the equation:

3x - 15 + 10 = 2x + 20

3x - 5 = 2x + 20

3x - 2x = 20 + 5

x = 25

Therefore, the present age of the son is 25 years. Substituting this value into the equation for the man's age five years ago:

Man's present age = 3(x - 5) = 3(25 - 5) = 3(20) = 60 years

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In order to write 4/6 as 2/3 we would break apart pieces and to write 4/6 as 8/12 we would combine pieces.

A fraction is a quantity that is not a whole number. In maths, a fraction usually has a numerator and a denominator. The numerator is the number above. While the denominator is the number below.

In order to write 4/6 as 2/3 we have to express in its simplest form. This means that you have to divide 4/6 by 2. In order to write 4/6 as 8/23, multiply 4/6 by 2.

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Answer:

\(\boxed {\boxed {\sf m= - \frac{ 1}{2} \ or \ -0.5}}\)

Step-by-step explanation:

The slope of a line tells us the steepness and direction of the line. It is "rise over run" or the change in y over the change in x.

The formula for calculating slope is:

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

Where (x₁, y₁) and (x₂, y₂) are the points the line passes through. We are given the points (-2, -1) and (2, -3). If we match the value and its corresponding variable we see that:

Substitute the values into the formula.

\(m= \frac{ -3 - -1}{2 - -2}\)

Solve the numerator and denominator. Remember that 2 back to back negative/subtraction signs become a positive/addition sign.

\(m= \frac {-2}{2--2}\)

\(m= \frac{-2}{4}\)

Simplify the fraction. Both the numerator and denominator can be divided by 2.

\(m= \frac{-2/2}{4/2}\)

\(m= - \frac{1}{2}\)

The slope of the line is -1/2 or -0.5

Answer:

\(\frac{4x^{2} }{3}\)

Step-by-step explanation:

Therefore, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

Histograms are an effective way to display data graphically. They are used to show how often certain values or ranges of values appear in a data set. Visual interpretation of histograms has many strengths and limitations. Some of the strengths of visually interpreting histograms are that they are easy to read and understand, they provide a clear picture of how the data is distributed, and they can help identify outliers or gaps in the data. However, some of the limitations of visually interpreting histograms are that they can be influenced by the number of bins chosen, the way the data is grouped, and the choice of the scale used. Therefore, it is important to carefully consider these factors when interpreting a histogram. In conclusion, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

Therefore, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

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The maximum value of the objective function is 4 at the vertex (4, 0), and the minimum value is -8 at the vertex (0, -4). The optimal solutions for the given LP problem are Maximum: p = 4 at x = 4 and y = 0 and Minimum: p = -8 at x = 0 and y = -4.

Maximize and minimize p = x + 2y

subject to:

x + y ≥ 4

x + y ≤ 10

x - y ≤ 4

x - y ≥ -4

First, let's graph the feasible region defined by the given constraints:

Plotting the lines:

x + y = 4 (solid line)

x + y = 10 (solid line)

x - y = 4 (solid line)

x - y = -4 (solid line)

The feasible region is the area that satisfies all the constraints and is bounded by the lines on the graph.

Upon examining the feasible region, we can observe that it is a bounded region.

To find the optimal solution, we need to evaluate the objective function p = x + 2y at the vertices (corner points) of the feasible region.

Now, let's find the vertices of the feasible region by solving the intersection points of the lines:

1. Intersection of x + y = 4 and x + y = 10:

Subtracting the equations, we get 0 = 6, which is not possible. No intersection point exists for these lines.

2. Intersection of x + y = 4 and x - y = 4:

Adding the equations, we get 2x = 8, x = 4. Substituting x = 4 into x + y = 4, we get 4 + y = 4, y = 0. The first vertex is (4, 0).

3. Intersection of x - y = 4 and x - y = -4:

Adding the equations, we get 2x = 0, x = 0. Substituting x = 0 into x - y = 4, we get -y = 4, y = -4. The second vertex is (0, -4).

Now, we evaluate the objective function at each vertex:

p(4, 0) = 4 + 2(0) = 4

p(0, -4) = 0 + 2(-4) = -8

The maximum value of the objective function is 4 at the vertex (4, 0), and the minimum value is -8 at the vertex (0, -4).

Therefore, the optimal solutions for the given LP problem are Maximum: p = 4 at x = 4 and y = 0 and Minimum: p = -8 at x = 0 and y = -4.

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If the p-cost is smaller than the predetermined importance stage (e.g., 0.05), the null speculation may be rejected, suggesting a significant difference between the yields of tomatoes grown and the use of fertilizers A and B.

Null Hypothesis (H0): The mean yield of tomatoes using fertilizer A is equal to the mean yield of tomatoes with the use of fertilizer B.

Alternative Hypothesis (HA): The implied yield of tomatoes using fertilizer A isn't like the suggested yield of tomatoes with the use of fertilizer B.

To check this hypothesis, a -pattern t-take a look at can be performed.

The mean yield for fertilizer A is calculated as 23.04 (mean of A: 29.9, 1.4, 25.3, 16.5, 21.1) and for fertilizer B is 20.78 (imply of B: 26.6, 23.7, 28.5, 14.2, 17.9, 24.3).

The popular deviation for fertilizer A is 7.58 and for fertilizer B is 5.61.

Using these values, the t-statistic can be calculated as \((23.04 - 20.78) /\sqrt{((7.58^2 / 5) + (5.61^2 / 6)) } = 1.29.\)

The tiers of freedom for this check are (\(n1 + n2 - 2\)) = (5 + 6 - 2) = 9.

With the t-statistic and ranges of freedom, the p-price can be acquired by means of searching the t-distribution desk or the usage of statistical software. The p-cost represents the probability of staring at a t-statistic as severe as the only calculated under the null hypothesis.

Based at the p-fee acquired, the statistical selection can be made. If the p-fee is smaller than the predetermined significance stage (e.g., 0.05), the null speculation may be rejected, suggesting a meaningful difference among the yields of tomatoes grown with the usage of fertilizers A and B.

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Answer:

13

Step-by-step explanation:

Answer:

Total fee= 15m+2n

Step-by-step explanation:

Answer:

a³-b³=(a-b)³+3ab(a-b)

          or

(a-b)(a²+b²+ab

Step-by-step explanation:

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The initial number of bacteria in the colony was approximately 13.5.

The value of n, the number of bacteria at the start of the experiment, can be calculated using the formula n =

\((b/2)^(2/t),\)

where b is the number of bacteria at any given time and t is the time in days.

Plugging in the given values, we get: n =

\((10,000/2)^(2/6)\)

n =

\(2,500^(1/3)\)

n ≈ 13.5. This formula is derived from the fact that the growth of bacteria is often modeled by an exponential function, where the rate of growth is proportional to the current population size.

In this case, the number of bacteria is doubling every 2 days (since \(2^(1/2) = 2^(2/4) = 2^(4/8) = ...),\) so we can rewrite the original equation as n • \(2^(t/2)\). Using the given information that there are 10,000 bacteria 6 days after the experiment starts, we can plug in these values and solve for n using the derived formula.

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The major key with 2 flats is :

B♭ major

Answer:

The key of B♭ major has two flats

Step-by-step explanation:

An accidental sign consisting of two flat symbols ♭that lower a note by two half steps two semitones. The double flat symbol alters the pitch of the note to which it is attached as well as any subsequent occurrence of the same note identical line or space in the same measure.

Hope this helps

~Heaven~

Answer:

  90°, 41°, 49°

Step-by-step explanation:

The diagonals of a rhombus are perpendicular bisectors of each other. The sides are parallel, and the diagonals bisect the vertex angles.

__

Angle 1 is 90°.

Angle 2 is congruent to the angle marked 41°. (They are "alternate interior angles.")

Angle 2 is 41°.

Angle 3 is its complement, 90° -41° = 49°. (The acute angles in a right triangle are complementary.)

Angle 3 is 49°.

Step-by-step explanation:

Putting values of x and y.

5(6) / 3(-4) + 6

30 / - 12 + 6

10 / - 4 + 6

5 / - 2 + 6

= 3.5