If both addition and multiplication are used in a single expression, then the ___________ property might apply.
A
distributive

B
associative

C
commutative

The argument that the sun will rise tomorrow morning and set tomorrow evening is based on inductive reasoning, using past observations of consistent sunrise and sunset patterns to predict future occurrences.

1. The observation: Throughout your entire life, you have consistently noticed that the sun rises every morning and sets every evening. This is an observation based on personal experience.

2. Inductive reasoning: Based on this observation, you make an inference or prediction about the future. You reason that since the sun has always risen in the morning and set in the evening in the past, it is likely to continue doing so in the future.

3. Pattern and consistency: The assumption is that natural phenomena, such as the rising and setting of the sun, follow a pattern or regularity. This assumption is based on the principle of uniformity of nature, which suggests that the future will resemble the past in terms of natural occurrences.

4. The limitations of inductive reasoning: While inductive reasoning provides a useful way to make predictions based on past observations, it is not foolproof. There is always a small possibility that something unexpected could happen, such as a rare astronomical event or an external factor that alters the pattern. However, based on the available evidence and the consistency of the observed pattern, the prediction that the sun will rise tomorrow morning and set tomorrow evening is highly probable.

In summary, the argument relies on inductive reasoning, using the past consistent observation of the sun's rising and setting to predict that it will continue to do so in the future. While this reasoning is not infallible, it is a reasonable and practical way to make predictions based on observed patterns in nature.

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Answer:

c 52

Step-by-step explanation:

The relative risk of stroke in hyper .tensive as compared to non-hypertensive person formula is PP (exposed)/ PP (unexposed).

There are foremost causes of stroke: a blocked artery (ischemic stroke) or leaking or bursting of a blood vessel (hemorrhagic stroke). some people may additionally have best a transient disruption of blood glide to the mind, known as a brief ischemic attack (TIA), that does not purpose lasting symptoms.

Low-depth physical games have a lower hazard of harm and are endorsed for human beings with different fitness troubles. some low-depth sports are: walking. Gardening and other backyard work

life-style factors that growth your hazard of stroke consist of high blood stress, smoking, diabetes, excessive blood cholesterol levels, heavy ingesting, high salt and excessive fat food regimen and lack of exercise.

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Answer:

D) x-int (-3,0), y-int (0,2)

Step-by-step explanation:

x-intercept is where the line crosses the x-axis

y-intercept is where the line crosses the y-axis

From inspection of the graph,

x-intercept = (-3, 0)

y-intercept = (0, 2)

Answer:

He would need 2 3/4 more white paint to get 4 1/2.

Step-by-step explanation:

\(4\frac{1}{2} - 1\frac{1}{4} = 3\frac{1}{4} \\3\frac{1}{4} - \frac{3}{6} =2\frac{3}{4}\\\)

Simplify:

\(3\frac{1}{4} - \frac{1}{2} = 2\frac{3}{4}\)

Hope this helps.

Jessica's annual salary is $68571.43.

Data;

This is the ratio of a number to the entire value and multiplied by 100

The percentage set aside for housing is given as 28% which is $1600.

Let find 28% of x which is equal to 1600

\(\frac{28}{100} = \frac{1600}{x}\)

cross multiply both sides and solve for x

\(\frac{28}{100} = \frac{1600}{x}\\ 28*x = 100*1600\\28x = 160000\\\)

Divide both sides by the coefficient of x

\(\frac{28x}{28} = \frac{160000}{28}\\ x = 5714.28\)

Her monthly income is $5714.28.

Let's multiply this by 12 (months in a year) to determine her gross monthly income.

\(5714.28*12 = 68571.43\)

From the above calculations, Jessica's annual salary is $68571.43.

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The solution of the linear equation in one variable 4y - 6 = 2y + 8 is at y = 7.

According to the given question.

We have a linear equation in one variable.

4y - 6 = 2y + 8

As we know that, the linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.

Thereofre, the solution of the linear equation in one variable 4y - 6 = 2y + 8 is given by

4y - 6 = 2y + 8

⇒ 4y - 2y - 6 = 8     ( subtracting 2y from both the sides)

⇒ 2y -6 -8 = 0           (subtracting 8 from both the sides)

⇒ 2y - 14 = 0

⇒ 2y = 14

⇒ y = 14/2

⇒ y = 7

Hence, the solution of the linear equation in one variable 4y - 6 = 2y + 8 is at y = 7.

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Answer: x = 5, -5

Step-by-step explanation:

Solve using the quadratic formula.

No, the triangle formed by 3 cm, 4 cm, and 11 cm is not special. The total of the two shorter sides must be more than the length of the longest side for a triangle to have three different side lengths.

The triangle inequality theorem refers to this. In this instance, 3 cm plus 4 cm is less than 11 cm, hence a triangle cannot be formed with sides of those lengths. The variations of the triangle inequality theorem are not satisfied by the sides 3 cm, 4 cm, and 11 cm.

If you are aware of the sides that contact a given angle in a triangle, you can use the SAS Inequality Theorem to determine that angle. According to the theorem, if two sides of triangle A are parallel to two sides of triangle B and their respective angles are larger in triangle A, then triangle A's third side will also be larger.

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The ball takes approximately 7.97 seconds to strike the water after being tossed by Zain. When it hits the water, its speed is approximately 8.22 m/s.

To solve this problem, we can use the laws of motion and the principles of projectile motion. Firstly, we need to determine the time it takes for the ball to reach its highest point. The initial vertical velocity of the ball is given as 0.850 m/s. Since the ball stops momentarily at its highest point, its final vertical velocity at that point will be zero. Using the equation of motion for vertical displacement, we can calculate the time taken to reach the maximum height.

The formula for calculating the time taken to reach maximum height is:

time = (final velocity - initial velocity) / acceleration

Since the acceleration due to gravity acts against the initial velocity, the final velocity is zero. Thus, the equation becomes:

0 = 0.850 - 9.8 * time

Solving for time, we find that it takes approximately 0.087 seconds for the ball to reach its highest point.

Next, we need to determine the time it takes for the ball to fall from its highest point to the water's surface. The distance from the highest point to the water's surface is 300 meters, and the acceleration due to gravity is 9.8 m/s^2. Using the formula for calculating time with constant acceleration, we have:

distance = (initial velocity * time) + (0.5 * acceleration * time^2)

Substituting the given values, the equation becomes:

300 = (0 * time) + (0.5 * 9.8 * time^2)

Simplifying the equation, we get:

4.9 * time^2 = 300

Solving for time, we find that it takes approximately 7.97 seconds for the ball to strike the water.

Finally, to determine the speed of the ball when it hits the water, we can use the equation of motion for vertical velocity:

final velocity = initial velocity + (acceleration * time)

Substituting the values, we have:

final velocity = 0.850 + (9.8 * 7.97)

Calculating the final velocity, we find that it is approximately 8.22 m/s. Therefore, the speed of the ball when it hits the water is approximately 8.22 m/s.

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Answer:

It is 2.

Step-by-step explanation:

The equation becomes -2y=-4x=5

But you divide by -2 to get y solo. So -4/-2=2.

Answer:

slope = 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

4x - 2y = 5 ( subtract 4x from both sides )

- 2y = - 4x + 5 ( divide all terms by - 2 )

y = 2x + \(\frac{5}{2}\) ← in slope- intercept form

with slope m = 2

The probability that the person uses exactly one of the facilities = 95/130 .

Probability is the branch of Mathematics which helps to determine the likeliness of an event to happen.

The data is given and the probability that the person uses exactly one of the facilities is asked

73 people use the gym. P(G)

62 people use the swimming pool. P (S)

58 people use the track. P (T)

22 people use the gym and the pool. P (G ∩ P)

29 people use the pool and the track. P (P ∩ T)

25 people use the gym and the track. P (G ∩ T)

11 people use all three facilities. P (P∩G∩T)

P (PUGUT) = P(G) + P (S) + P (T) - P (G ∩ P) - P (P ∩ T) - P (G ∩ T) - 2 P (P∩G∩T)

73 + 62 + 58 -22-29-25 -11-11 = 95

The probability that the person uses exactly one of the facilities = 95/130 .

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The given angle is (48π) / 5. We are required to find a positive angle that is coterminal to this angle and less than 2π (that is, one revolution).

One revolution is equal to 2π. Therefore, we subtract 2π from the given angle until we get an angle that is less than 2π.(48π) / 5 - (10π) = (98π) / 5

Coterminal angles have the same initial and terminal sides, but may differ in their number of complete rotations. To find a positive angle less than 2π that is coterminal to (48π)/5, we can use the concept of coterminal angles.

Coterminal angles are angles that have the same initial and terminal sides but differ by a multiple of 2π.

In this case, the given angle is (48π)/5. To find a positive angle less than 2π that is coterminal to this angle, we need to subtract or add multiples of 2π until we get a positive angle within the desired range.

To do this, we can use the following steps:

1. Divide (48π)/5 by 2π to find the number of complete revolutions:

  (48π)/5 ÷ 2π = 24/5

  This tells us that the angle (48π)/5 represents 24/5 complete revolutions.

2. Subtract 2π for each complete revolution until we get an angle less than 2π:

  (24/5) - 2π = (24/5) - (10π/5) = (24 - 10π)/5

The resulting angle is (24 - 10π)/5, which is less than 2π.

Therefore, a positive angle less than 2π that is coterminal to (48π)/5 is (24 - 10π)/5.To make the angle positive, we will add the number of complete revolutions of the given angle and multiply it by 2π:2π × 5 = 10π.

Therefore, an angle coterminal with (48π) / 5 and less than 2π is: ((98π) / 5) - (10π) = (48π) / 5.

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To create a stemplot, we first need to separate the data into "stems" and "leaves." Each stem represents the first digit(s) of each data point, while each leaf represents the last digit(s). For example, if the data point is 12.3, the stem would be 12 and the leaf would be 3.

To make a stemplot, the data should be arranged in increasing order, and then separated into stems and leaves.

However, you can use the data given and arrange it in increasing order and separate it into stems and leaves to make a stemplot. A stemplot is a good way to check if the data follow a normal distribution quite closely, the more the data is spread out and the more symmetric it is, the more likely it is to follow a normal distribution.

Also, it is important to mention that from the given data, it is not possible to conclude if the percent change in this population has standard deviation of 2.5%. This parameter can only be estimated from a sample if it follows a normal distribution which is not clear from the given data.

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The number of miles per gallon that Jamie's car get will be 15.25 miles per gallon.

The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

Jamie drove 61 miles Jamie's car used 4 gallons of gas.

The number of miles per gallon that Jamie's car get will be given as,

Rate = 61 / 4

Rate = 15.25 miles per gallon

The number of miles per gallon that Jamie's car get will be 15.25 miles per gallon.

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Answer:

156

Step-by-step explanation:

Tienes que cambiar los valores de las letras por el número que te indica

x=3  y=-6   36x-8y

Entonces:

36(3)-8(-6)

108+48

156

The sentence is false.

To make the sentence true, we need to replace the underlined term with "base." Any side of a parallelogram can be called a base of a parallelogram.

The statement is false. Any side of a parallelogram cannot be called the "height" of a parallelogram.

In a parallelogram, the height refers to the perpendicular distance between the base (or one of the bases) and the opposite side. The height is always measured at a right angle to the base.

To make the statement true, we can replace the underlined term with "base" or "side." Any side of a parallelogram can be called a base or a side of a parallelogram, but not the height.

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Victor will pay $13,500 in interest over the 36-month term of his line of credit.

To calculate the interest that Victor will pay on his 36-month line of credit for $15,000 at an interest rate of 2.5%, we can use the formula for simple interest:

I = P × r × t

Where I is the interest, P is the principal (the amount borrowed), r is the interest rate per period, and t is the number of periods.

Here, P = $15,000, r = 0.025 (since the interest rate is 2.5%), and t = 36 months.

I = P × r × t

Substituting values into the formula, we get:

I = 15,000 × 0.025 × 36

I = $13,500

Therefore, he will pay $13,500 in interest over the 36-month term of his line of credit.

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Answer:

3 units

Step-by-step explanation:

Given: Two shapes A and B

Required to find: The scale factor

Explanation:

STEP 1: Define Dilation

Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape.

To dilate the figure by a factor of 2, I will multiply the x and y-value of each point by 2.

STEP 2: We then check for the length of the sides.

For shape A:

Lengths are given as 3 by 1 by 2 units

For shape B:

lengths are given as 9 by 3 by 6 units.

STEP 3: Divide the lengths of Shape B by Shape A.

\( \frac{9}{3} = \frac{3}{1 } = \frac{6}{2} = 3 units\)

ANSWER:

3 units

Answer:

x = 17

Step-by-step explanation:

The two angles form a right angle ( indicated by the square )

Right angles have a measure of 90°

Thus, x + 73 = 90

90 - 73 = 17

Hence, x = 17

Answer:

471471804

Step-by-step explanation:

Jeane read 1,413 pages of books.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We are given that Frederick read 471 pages of books this month. Jeane read 333 times as many pages as Frederic.

Jeane read 3 times as many which is;

Gives that a equation of 471 x 3

4 7 1 ×  3 =  1 4 1 3

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Answer: 36.5 miles

Step-by-step explanation:

It looks like you have the right idea! You simply need to divide the 438 miles by the 12 days to find the miles traveled per day. This results in 438 / 12 = 36.5

Answer:

See Explanation

Step-by-step explanation:

\( \frac{ \sin5A}{\sin A} - \frac{ \cos5A}{\cos A} = 4\cos2A \\ \\ LHS = \frac{ \sin5A}{\sin A} - \frac{ \cos5A}{\cos A} \\ \\ = \frac{ \sin5A \:\cos A - \cos5A \: \sin A}{\sin A \:\cos A } \\ \\ = \frac{ \sin(5A -A )}{\sin A \:\cos A} \\ \\ = \frac{ \sin 4A}{\sin A \:\cos A} \\ \\ = \frac{ 2\sin 2A \: \cos 2A}{\sin A \:\cos A} \\ \\ = \frac{ 2 \times 2\sin A \: \cos A \: \cos 2A}{\sin A \:\cos A} \\ \\ = \frac{ 4\sin A \: \cos A \: \cos 2A}{\sin A \:\cos A} \\ \\ =4\cos 2A \\ \\ = RHS \\ \\ thus \\ \\ \frac{ \sin5A}{\sin A} - \frac{ \cos5A}{\cos A} = 4\cos2A \\ \\ hence \: proved\)

The weight of Sugar Syrup is 42 grams

What is Weight?

The amount or quantity of bulk or heaviness; the weight of something. Physics. In an area of constant gravitational acceleration, mass is typically used as a measure of mass since the force of gravity acting on a body is equal to the body's mass times the local acceleration of gravity.

First calculate the mass

Adding * grams of water

= 5/5+x

= 0.12

⇒ 5 = 012x ( x + 5)

⇒ 5 = 012x + 0.6

= 4.4/0.12

= 37grams

Total mass of these two materials will be

= 5 + 37

= 42 grams

weight of Sugar Syrup will be

x = 5 / 0.12

= 42 grams

The weight of Sugar Syrup is 42 grams

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Answer:

Hey mate, here's ur answer:

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

-2x^5. 4x^2

=(−2)*x5*4*x2

=−8*x7

=−8x7

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

Hope it helps

#stayhomestaysafemate

:D

Answer:

384

Step-by-step explanation:

32 x 12 =

384

The solution is: Therefore, there are 248 windows on the first eight floors.  The answer is letter A. 248

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

The ground floor:  52 windows.

We will use the arithmetic sequence:

a 1 = 52

d = - 6

The given situation is an arithmetic sequence with the first term equal to 52 and has a common difference of -6.

The formula for the summation (S) of the terms in arithmetic sequence is

                                  S = (n/2) x (2a1 + (n - 1) d)

where n is the number of term, a1 the first term, and d the common difference.

Substitute the given from the problem,

                                         S = (8/2) x ( (2)(52) + (8 - 1)(-6))

                                             S = 248

Therefore, there are 248 windows on the first eight floors.

The answer is letter A. 248

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complete question:

The windows of a downtown office building are arranged so that each floor has six fewer windows than the floor below it. If the ground floor has 52 windows, how many total windows are on the first eight floors?

Answer:

Hi there!

Recall that slope-intercept form is:

y = mx + b

Where m = slope

In this instance, we are given a slope of 4,

therefore:

y = 4x + b

Substitute in the x and y coordinates of the point given:

0 = 4(3) + b

0 = 12 + b

Substract 12 from both side:

-12 = b

Therefore, the equation would be:

y = 4x - 12

Graph the equation by finding x and y values or using a calculator:

x = 0, y = 4(0) - 12 = 12 (0, 12)

x = 1, y = 4(1) - 12 = - 8 (1, -8)

x = 2, y = 4(2) - 12 = - 4 (2, -4)

x = 3, y = 4(3) - 12 = 0 (3, 0)

And so forth:

Thanks<8