Simplify 5x - 3 + 7x +1

A plot of mean monthly temperatures and precipitation summarizing the climate at any point on Earth is called a climograph.

A climograph is a valuable tool that allows scientists, researchers, and individuals to visualize and understand the general climate patterns of a specific location. It combines two essential elements, temperature and precipitation, to provide an informative representation of the local climate.

To create a climograph, first, gather data on the average monthly temperatures and precipitation levels for the location of interest. This data can be obtained from weather stations or meteorological databases. Then, use a graph with two vertical axes: one for temperature and the other for precipitation. The horizontal axis will represent the months of the year.

Next, plot the mean monthly temperatures on the temperature axis, typically using a line graph. This allows the viewer to see how the temperature changes throughout the year, highlighting patterns such as seasonality and temperature extremes.

Similarly, plot the mean monthly precipitation levels on the precipitation axis, usually using a bar graph. This illustrates the distribution of precipitation throughout the year, revealing patterns such as rainy seasons and dry periods.

Finally, observe the resulting climograph and identify trends in the data. By analyzing the climograph, one can gain insights into the overall climate conditions, such as temperature ranges and precipitation patterns, that characterize the location.

In summary, a climograph is a graphical representation of the climate at a specific location on Earth, combining mean monthly temperatures and precipitation levels. This tool helps in understanding and visualizing climate patterns and can be valuable for various purposes, including research, planning, and decision-making.

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Answer:

B and D    

Step-by-step explanation:

in D 15x+9=15x+9

in B x=0

The Mean Absolute Deviation (MAD) of the given data set is approximately 7.5.

To find the mean and the Mean Absolute Deviation (MAD) of the given data set, follow these steps:

Step 1: Calculate the Mean

To find the mean (average) of a data set, add up all the values and divide the sum by the total number of values.

Mean = (10 + 15 + 20 + 25 + 30 + 35) / 6

Mean = 135 / 6

Mean = 22.5

So, the mean of the given data set is 22.5.

Step 2: Calculate the Mean Absolute Deviation (MAD)

To find the MAD, follow these steps:

Find the difference between each data point and the mean.

Take the absolute value of each difference.

Find the mean of these absolute differences.

Let's calculate the MAD:

|10 - 22.5| = 12.5

|15 - 22.5| = 7.5

|20 - 22.5| = 2.5

|25 - 22.5| = 2.5

|30 - 22.5| = 7.5

|35 - 22.5| = 12.5

Now, find the mean of these absolute differences:

MAD = (12.5 + 7.5 + 2.5 + 2.5 + 7.5 + 12.5) / 6

MAD = 45 / 6

MAD ≈ 7.5

So, the Mean Absolute Deviation (MAD) of the given data set is approximately 7.5.

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Answer:

180.34cm

Step-by-step explanation:

Multiply 12x5=60, then multiply 60x2.54=152.4, then multiply 11x2.54=27.94, then add 152.4+27.94 of it together, which is 180.34

The last column evaluates to "T" in all rows. Therefore, the argument is valid since the conclusion always follows from the premises.

Let's assign symbols to represent the statements in the argument:

P: The boss snaps at you.

Q: You make a mistake.

R: The boss is irritable.

The argument can be symbolically represented as follows:

[(P ∧ Q) → R] ∧ ¬P → ¬R

To determine the validity of the argument, we can construct a truth table:

P | Q | R | (P ∧ Q) → R | ¬P | ¬R | [(P ∧ Q) → R] ∧ ¬P → ¬R

---------------------------------------------------------

T | T | T |      T      |  F |  F |          T          |

T | T | F |      F      |  F |  T |          T          |

T | F | T |      T      |  F |  F |          T          |

T | F | F |      F      |  F |  T |          T          |

F | T | T |      T      |  T |  F |          F          |

F | T | F |      T      |  T |  T |          T          |

F | F | T |      T      |  T |  F |          F          |

F | F | F |      T      |  T |  T |          T          |

The last column represents the evaluation of the entire argument. If it is always true (T), the argument is valid; otherwise, it is invalid.

Looking at the truth table, we can see that the last column evaluates to "T" in all rows. Therefore, the argument is valid since the conclusion always follows from the premises.

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Answer:

80°=x°[by alternate exterior angle]

Answer:

x = 80⁰

Step-by-step explanation:

Because x is an alternate exterior angle.

all alternate exterior angles are equal to each other.

Answer:

I'm going to say B, but I may be wrong. Good Luck

Step-by-step explanation:

The mean and standard deviation of the sampling distribution of the sample proportion are: (d) 0.55, 0.0497.

In Mathematics and Statistics, a sample proportion can be defined as the proportion of individuals in a sample that have a specified characteristic or trait.

The mean of the sampling distribution of the sample proportion is equal to 0.55. Mathematically, the standard deviation of the sampling distribution of the sample proportion can be calculated by using this formula:

σp = √(p(1 - p)/n)

Substituting the given parameters into the standard deviation formula, we have;

Standard deviation, σp = √(0.55(1 - 0.55)/100)

Standard deviation, σp = √(0.55(0.45)/100)

Standard deviation, σp = 0.002475

Standard deviation, σp = 0.0497

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Complete Question:

In a large population, 55% of the people get a physical examination at least once every two years. An SRS of 100 people are interviewed and the sample proportion is computed.

The mean and standard deviation of the sampling distribution of the sample proportion are:

(a) 55, 4.97.

(b) 0.55, 0.002.

(c) 55, 2.

(d) 0.55, 0.0497.

(e) The standard deviation cannot be determined from the given information.

Answer:

pleasee reply me ...

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Answer:

plz mark me as a brainelist

hope it helps you

Answer:

(5,-5)

x=5

y=-5

Step-by-step explanation:

How to solve using elimination method.

First, add the two equations.

   2x - 3y = 25

+  5x + 3y = 10

7x=35

The y values got eliminated.

Next, divide 7 from both sides.

7x/7=35/7

x=5

Next, plug-in x=5 into one of the equations.

2(5) - 3y = 25

10-3y=25

Subtract 10 from both sides.

-3y=15

Divide -3 from both sides.

y=-5

Remember a positive divided by a negative is a negative.

Hope this helps!

If not, I am sorry.

a. In the picture we can see that the scatterplot is given for the data in the given table.

b. It is not linear as we can see from scatterplot.

c. The correlation between y and x is 0.

d. when r = 0 there is no relationship between x and y.

Given that,

The data is given in the table.

We know that,

a. We have to make a scatterplot of y versus x.

In the picture we can see that the scatterplot is given for the data in the given table.

b. We have to describe the relationship between y and x.

When x increases y increases upto certain point after that y start to decrease but x is increases only

Therefore, it is not linear as we can see from scatterplot.

c. We have to find the correlation between y and x.

The formula for the correlation coefficient is

r = \(\frac{n\times \sum XY-\sum X \times\sum Y}{\sqrt{[n\sum X^2 - (\sum X)^2][n\sum Y^2 - (\sum Y)^2]} }\)

Now we find summation of all X, Y and XY, \(X^2\) and \(Y^2\)

X          Y           XY            \(X^2\)            \(Y^2\)

25        10         250         625          100

35        30        1050        1225         900

45        50        2250       2025        2500

55        30        1650        3025        900

65        10          650        4225        100

Now, ∑X = 225

∑Y = 130

∑XY = 5850

∑\(X^2\) = 11125

∑\(Y^2\) = 4500

Now, Substitute the values in the formula

r = \(\frac{5\times 5850-225 \times130}{\sqrt{[5\times 11125 - (225)^2][5\times 4500 - (130)^2]} }\)

r = 0

Therefore, The correlation between y and x is 0.

d. We have to find what important point about correlation does this exercise illustrate.

Therefore, when r = 0 there is no relationship between x and y.

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P(X = 7), λ = 6: The Poisson probability of X = 7, with a parameter (λ) value of 6, is 0.1446. P(X = 11), λ = 12: The Poisson probability of X = 11, with a parameter (λ) value of 12, is 0.0946. P(X = 6), λ = 8: The Poisson probability of X = 6, with a parameter (λ) value of 8, is 0.1206.

The Poisson probability is used to calculate the probability of a certain number of events occurring in a fixed interval of time or space, given the average rate of occurrence (parameter λ). The formula for Poisson probability is P(X = k) = (e^-λ * λ^k) / k!, where X is the random variable representing the number of events and k is the desired number of events.

To calculate the Poisson probabilities in this case, we substitute the given values of λ and k into the formula. For example, for the first case (a), we have λ = 6 and k = 7: P(X = 7) = (e^-6 * 6^7) / 7!

Using a calculator, we can evaluate this expression to find that the probability is approximately 0.1446. Similarly, for case (b) with λ = 12 and k = 11, and for case (c) with λ = 8 and k = 6, we can apply the same formula to find the respective Poisson probabilities.

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Answer:

SP = 24

Step-by-step explanation:

It would take approximately 0.47 years longer for Fatoumata's money to triple than for Josue's Money to triple.

To compare the time it takes for Fatoumata's money to triple with Josue's money to triple, we need to calculate the time it takes for each investment to grow by a factor of 3.

For Josue's investment, we can use the continuous compounding formula:

A = P * e^(rt)

Where:

A is the final amount (3 times the initial investment)

P is the principal amount (initial investment)

r is the interest rate (in decimal form)

t is the time (in years)

e is Euler's number (approximately 2.71828)

For Fatoumata's investment, we can use the compound interest formula:

A = P * (1 + r/n)^(nt)

Where:

A is the final amount (3 times the initial investment)

P is the principal amount (initial investment)

r is the interest rate (in decimal form)

n is the number of times the interest is compounded per year

t is the time (in years)

Let's calculate the time it takes for each investment to triple:

For Josue's investment:

3 * 3300 = 3300 * e^(0.075t)

Dividing both sides by 3300:

3 = e^(0.075t)

Taking the natural logarithm of both sides:

ln(3) = 0.075t

t = ln(3) / 0.075 ≈ 12.31 years

For Fatoumata's investment:

3 * 3300 = 3300 * (1 + 0.0775)^t

Dividing both sides by 3300:

3 = (1 + 0.0775)^t

Taking the logarithm of both sides:

log(3) = t * log(1 + 0.0775)

t = log(3) / log(1 + 0.0775) ≈ 12.78 years

To find the difference in time, we subtract the time it takes for Josue's investment from the time it takes for Fatoumata's investment:

12.78 - 12.31 ≈ 0.47 years

Therefore, it would take approximately 0.47 years longer for Fatoumata's money to triple than for Josue's money to triple.

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Answer:

x = -5

Step-by-step explanation:

4 - 2(x + 7) = 3(x + 5)

4 - 2x - 14 = 3x + 15

-10 - 2x = 3x + 15

-10 - 2x - 3x = 15

-2x - 3x = 15 + 10

-5x = 15 + 10

-5x = 25

x = -5

Hope this helps! :)

In the main() function, we prompt the user to enter the values of , , and . Then, we call the user-defined function to calculate and display the maximum root.

The quadratic equation is given by: a² + b + c = 0. To find the maximum root of the quadratic equation, a user-defined function is required. The function takes parameters , , and and returns the maximum root. This function can be used in the main() function to obtain the values of , , and from the user and display the maximum root.

To find the maximum root of a quadratic equation, we need to determine the vertex of the parabola represented by the equation. The x-coordinate of the vertex is given by = -/2. By substituting this value into the quadratic equation, we can calculate the maximum root.

The user-defined function will compute the maximum root as follows: Calculate the discriminant, Δ = ² - 4. If Δ < 0, the equation has no real roots, so return an appropriate error message. Calculate the x-coordinate of the vertex, = -/2.

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The inequality that correctly describes the number of ounces of water, w, that tom drinks each day is d. 64<w.

Amount of water that the bottle can hold = 32 ounces

Bottles of water consumed = 2

A mathematical comparison and representation of the connection between two expressions is known as an inequality. It can be regarded as a generalisation of an equation and is denoted by signs such as <, > and =.

Tom consumes more than two complete bottles of water every day. Since each bottle can carry up to 32 ounces of water, we can describe Tom's daily water consumption as -

= w > 2 × 32

Therefore,

Simplifying the right side of the inequality:

w > 64

Complete Question:

Toms water bottle can hold up to 32 ounces of water. each day he drinks more than 2 full bottles of water. which inequality correctly describes the number of ounces of water, w, that tom drinks each day?

a. w>2

b. 32<w

c. w = 64

d. 64<w

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Plug these into the washer method formula and integrate over the interval [0, 1]:
V =\(\pi * \int[ (2 - x)^2 - (2 - \sqrt(x))^2 ] dx \ from\  x = 0\  to\  x = 1\)

To set up the integral for the volume of the solid of revolution formed by rotating the region between y = sqrt(x) and y = x around the line x = 2, we will use the washer method. The washer method formula for the volume is given by:

V = pi * ∫\([R^2(x) - r^2(x)] dx\)

where V is the volume, R(x) is the outer radius, r(x) is the inner radius, and the integral is taken over the interval where the two functions intersect. In this case, we need to find the interval of intersection first:

\(\sqrt(x) = x\\x = x^2\\x^2 - x = 0\\x(x - 1) = 0\)

So, x = 0 and x = 1 are the points of intersection. Now, we need to find R(x) and r(x) as the distances from the line x = 2 to the respective curves:

R(x) = 2 - x (distance from x = 2 to y = x)
r(x) = 2 - sqrt(x) (distance from x = 2 to y = sqrt(x))

Now, plug these into the washer method formula and integrate over the interval [0, 1]:

V =\(\pi * \int[ (2 - x)^2 - (2 - \sqrt(x))^2 ] dx \ from\  x = 0\  to\  x = 1\)

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Answer:

2

Step-by-step explanation:

Answer:

7 4/5 or 7.8

Step-by-step explanation:

S1: Convert mixed number to an improper fraction

36/5 - (-3/5)

S2: Add the fractions

36/5 + 3/5

Answer 39/5

Simplify:

7 4/5 or 7.8

*puts a random answer just to take your points*

JK lol sorry

If we are solving for x, then your answer would be

x = 0.110

x = 1.140

0.110

1.140

hope I helped :P

Have a good day!!~

The length of diagonal is 9.5 ft

What is Pythagoras theorem?

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.

We will find the length of diagonal as shown below:

l= 7 ft

h= 5 ft

w= 4 ft

Let diagonal be d.

Let v be the diagonal of the base.

Using Pythagoras theorem

\(v=\sqrt{7^2+4^2}\)

\(=\sqrt{49+16}\)

\(v=\sqrt{65}\)

For finding the value of d again using Pythagoras theorem

\(d=\sqrt{v^2+h^2}\)

\(=\sqrt{(\sqrt{65})^2+5^2 }\)

\(=\sqrt{65+25}\)

\(=\sqrt{90}\)

=9.4868

Rounding to nearest tenth

=9.5

Hence, the length of diagonal is 9.5 ft

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Answer:

1. you got it dude

Step-by-step explanation:

..............

Answer:i believe the answer is 23

Answer:

Step-by-step explanation:

If a > 0 , then the parabola opens upward.

If a < 0, then the parabola opens downward.

The correct research method for the study mentioned in the question is a Field survey.

Field survey can be defined as a research method used to collect data from a target population. In this study, researchers used a survey questionnaire to gather data from participants. The research aimed to test the theory that the exposure to multiple versions of fake news on various social media platforms made people believe the news.

The researchers surveyed 1,455 participants with an average age of 27, and 42% were male. The participants were exposed to 24 false news stories, and one group was exposed to multiple versions of fake news, while the other group was only exposed to each news story once.

The findings suggested that the more familiar the news was, the more accurate and believable it was. This familiarity effect lasted for up to a month. Hence, the research method used in this study was a field survey.

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Answer:

105

Step-by-step explanation:

2x17=34

17x2.5=42.5

1.5x17=25.5

1/2x2x2x1.5=3

34+42.5+25.5+3=105

Answer Po Ba Ay 11.33?

Step-by-step explanation:

Calc

The best description about the sampling distribution of means for the student's sample is mu x = 45, sigma x = 3.75, shape of distribution unknown.

Sampling distribution is defined as the probability distribution of a statistical measure which is got by the repeated sampling of a specific population.

Given that,

μ = 45 minutes and σ = 15 minutes

Sampling distribution of means for the student's sample is :

μₓ = μ = 45

σₓ = σ / √n, where n is the sample size.

σₓ = 15 / √(16) = 15 / 4 = 3.75

Now since the sample size 16 which is less than 30, shape of the distribution is unknown.

Hence the sampling distribution is, μₓ = 45, σₓ = 3.75, and the shape of distribution is unknown.

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The equation 2 = -x√(x + 2) - x has two potential solutions: x = -1 and x = -8. However, x = -8 does not satisfy the equation, so the set of all solutions is {x = -1}.

To find the set of solutions to the equation 2 = -x√(x + 2) - x, we can solve it algebraically.

Starting with the given equation, we can simplify it step by step:

2 = -x√(x + 2) - x

Adding x to both sides:

2 + x = -x√(x + 2)

Squaring both sides to eliminate the square root:

(2 + x)^2 = (-x√(x + 2))^2

Expanding and simplifying:

4 + 4x + x^2 = x^2(x + 2)

Simplifying further:

4 + 4x = x^3 + 2x^2

Rearranging terms:

x^3 + 2x^2 - 4x - 4 = 0

Factoring the equation:

(x + 1)(x^2 + x - 4) = 0

Setting each factor to zero:

x + 1 = 0 or x^2 + x - 4 = 0

Solving the first equation, we find x = -1.

For the second equation, we can use the quadratic formula:

x = (-1 ± √(1^2 - 4(1)(-4))) / (2(1))

x = (-1 ± √(1 + 16)) / 2

x = (-1 ± √17) / 2

However, when we substitute x = (-1 + √17) / 2 into the original equation, it does not satisfy the equation. Therefore, x = -8 is not a solution.

Hence, the set of all solutions to the equation is {x = -1}.

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The surface you provided has parametric equations given by: r(s, t) = ⟨st, s + t, s - t⟩ The vector r(s, t) represents the position of a point on the surface in terms of two parameters, s and t. As s and t vary, different points on the surface are defined, creating the 3D shape of the surface.

This surface is defined by the parametric equations r(s,t)=⟨st,s+t,s−t⟩, which means that for every combination of s and t, we can get a point on the surface. The three components of the vector r(s,t) give the coordinates of that point in 3D space.
One interesting thing about this surface is that it's defined by a set of parametric equations that are themselves parametric. That is, the equations for r(s,t) include the parameters s and t, which are themselves variables that can take on any value.
Another interesting thing is that this surface is defined by a set of equations that are parametric, but not necessarily in terms of time. In other words, these equations don't necessarily describe the motion of an object through time, but rather describe the relationship between two variables (s and t) that define the surface.
In terms of its shape, the surface defined by r(s,t) has a parabolic profile that opens up in the s and t directions. This means that as s and t increase, the surface curves upward and outward, forming a bowl-like shape.
Overall, this is an example of a parametric surface that can be defined by a set of equations that are themselves parametric. While it may not have any real-world applications, it's an interesting mathematical construct that helps us understand how parametric equations can be used to describe complex shapes in 3D space.

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Answer:

a) 2.5 x 10^5

b) 8.1 x 10^4

c) 9.06 x 10^8

d) 1.034 x 10^10