7 + (1 + 9) = (7 + 1) + 9 Is this identity commutative or associate??

The seller purchased the product at a cost of 7500 and sold it for 7950, which resulted in a gain of 6%. So, the cost price is 7500.

In business, it is essential to keep track of cost prices and profit margins to ensure profitability. If the selling price is 7950 and the gain is 6%, we can use the following formula to calculate the cost price:

Cost price = Selling price / (1 + Gain%)

Substituting the given values, we get:

Cost price = 7950 / (1 + 0.06)

Cost price = 7500

Therefore, the cost price of the product is 7500, the gain percentage is calculated based on the cost price and not the selling price.

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Answer:

13meters far from the supermarket

The distance between Supermarket A and Supermarket B is 35 units.

The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula. On 2D plane the distance between two points (x₁, y₁) and (x₂, y₂) is Distance = √[(x₂-x₁)²+(y₂-y₁)²].

From the given coordinate plane, Supermarket A is at (12, 9), House is at (0, 0) and Supermarket B at (-16, -12).

1) Distance between Supermarket A and your house is

Substitute (x₁, y₁)=(12, 9) and (x₂, y₂)=(0, 0) in distance formula, we get

Distance = √[(0-12)²+(0-9)²]

= √144+81

= √225=15 units

2) Distance between Supermarket B and your house is

Substitute (x₁, y₁)=(-16, -12) and (x₂, y₂)=(0, 0) in distance formula, we get

Distance = √[(0+16)²+(0+12)²]

= √256+144

= √400=20 units

3) Distance between Supermarket A and Supermarket B is

Substitute (x₁, y₁)=(-16, -12) and (x₂, y₂)=(12, 9) in distance formula, we get

Distance = √[(12+16)²+(9+12)²]

= √28²+21²

= √1225=35 units

Therefore, the distance between Supermarket A and Supermarket B is 35 units.

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Answer: 850 sq cm

Step-by-step explanation: If you multiply 10, 5, and 17 you will get 850 sq cm.

Answer:

A triangle that has two congruent sides is called an isosceles triangle! △

(congruent basically means equal by the way!)

-Hoped that helped!

Step-by-step explanation:

The correct option that indicates how Christa sliced the rectangular pyramid is the second option.

Christa sliced the pyramid perpendicular to its base through two edges.

A rectangular pyramid is a pyramid with a rectangular base and four triangular faces.

The height of the cross section indicates that the location where Christa sliced the shape is lower than the apex of the pyramid.

The trapezoid shape of the cross section of the pyramid indicates that the top and base of the cross section are parallel, indicating that Christa sliced the pyramid parallel to a side of the base of the pyramid, such that it intersects two of the edges of the pyramid

The correct option is therefore the second option;

Christa sliced the pyramid perpendicular to its base through two edges

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Answer:

All angles on a triangle and stright line add up to 180°.  

So, A and C= 50° because the triangle is isosceles. Therefore, then B+A+C+= 180°.

B=°

C=130°

D= 25°

Answer:

Least to greatest:

89.89

90

90.089

90.9

90.98

Step-by-step explanation:

Answer:

R = 13/3

Step-by-step explanation:

Based on the given conditions, formulate:  2 x r - 10 = -1 1/3

Apply Multiplicative Distribution Law: 2r - 10 = -1 - 1/3

Multiply both sides of the equation by the common denominator: 2r x 3 -10 x 3 = -3 - 3/3

Reduce the fractions: 2r x 3 - 10 x 3 = -3 - 1

Multiply the monomials: 6r - 10 x 3 = -3 - 1

Calculate the product or quotient: 6r - 10 x 3 = -3 - 1

Rearrange unknown terms to the left side of the equation: 6r = -3 - 1 + 30

Calculate the sum or difference: 6r = 26

Divide both sides of the equation by the coefficient of variable: r = 26/6

Cross out the common factor: r = 13/3

Answer:  r = 13/3

We can use Bayes' theorem to solve the problem 1). So, P(W) = (1/4) x (4/6) + (1/3) x (2/6) = 5/18. 2.) Therefore, if the ball is white, the probability that it was transferred from Box1 is 0.4.

The solution is as follows:

We can use Bayes' theorem to solve the problem, which is:

P(A|B) = P(B|A) P(A) / P(B)

where A and B are two events.

Let's apply it to this question and use P(W) to represent the probability of getting a white ball, P(B1) to represent the probability of getting a ball from Box1, and P(T) to represent the probability of transferring a ball from Box1 to Box2.

P(W) = P(W|B1) P(B1) + P(W|B2) P(B2)P(W|B1)

is the probability of getting a white ball from Box1, which is 1/4.

P(B1) is the probability of getting a ball from Box1, which is 4/6.

P(W|B2) is the probability of getting a white ball from Box2, which is 1/3.

P(B2) is the probability of getting a ball from Box2, which is 2/6.

So, P(W) = (1/4) x (4/6) + (1/3) x (2/6) = 5/18.

Next, we use Bayes' theorem to calculate the second part of the question:

P(B1|W) = P(W|B1) P(B1) / P(W)P(B1|W)

is the probability of getting a ball from Box1 given that the ball is white.

We already know that P(W|B1) is 1/4. P(B1) is 4/6 and P(W) is 5/18.

So, P(B1|W) = (1/4) x (4/6) / (5/18) = 0.4.

Therefore, if the ball is white, the probability that it was transferred from Box1 is 0.4.

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Answer: 4c+32

Step-by-step explanation:

To determine if the polynomial is even, odd, or neither, we substitute -x for x in the polynomial and simplify. -3(-x)² + 6(-x) = -3x² - 6x. Since the polynomial is not equal to its negation, it is neither even nor odd.

To write the equation of the line with an x-intercept at -6 and a y-intercept at 2, we can use the slope-intercept form of a line, y = mx + b, where m is the slope and b is the y-intercept.

In this case, the y-intercept is given as 2, so the equation becomes y = mx + 2. To find the slope, we can use the formula (y2 - y1) / (x2 - x1) with the given points (-6, 0) and (0, 2). We find that the slope is 1/3. Thus, the equation of the line is y = (1/3)x + 2.

For the polynomial f(x) = -3x² + 6x, the degree is 2 and the leading coefficient is -3. The end behavior of the graph is determined by the degree and leading coefficient. Since the leading coefficient is negative, the graph will be "downward" or "concave down" as x approaches positive or negative infinity.

To find the zeros, we set the polynomial equal to zero and solve for x. -3x² + 6x = 0. Factoring out x, we get x(-3x + 6) = 0. This gives us two solutions: x = 0 and x = 2.

The x-intercept is the point where the graph intersects the x-axis, and since it occurs when y = 0, we substitute y = 0 into the polynomial and solve for x. -3x² + 6x = 0. Factoring out x, we get x(-3x + 6) = 0. This gives us two x-intercepts: (0, 0) and (2, 0).

To determine if the polynomial is even, odd, or neither, we substitute -x for x in the polynomial and simplify. -3(-x)² + 6(-x) = -3x² - 6x. Since the polynomial is not equal to its negation, it is neither even nor odd.

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Answer: $ 7.20

Step-by-step explanation:

(9x4)/5

36/5

= 7.2

= $7.20

Answer:

The absolute difference is 1050

The relative percentage is 32.3076%

Step-by-step explanation:

We are given

The population of a town increased from 3,250 in 2008 to 4,300 in 2010

In 2008:

In 2010:

Absolute difference:

we know that

absolute difference =

absolute difference =

absolute difference is 1050

Relative increase:

we know that

Relative percentage is

now, we can plug values

=32.3076

So, the relative percentage is 32.3076%

The distance between the two towns Townville and Villaville is 350 miles.

Use the formula d = st, or distance equals speed times time, to find the distance.

Since both represent a certain amount of distance per unit of time, such as miles per hour or kilometers per hour, rate and speed are comparable.

If speed s and rate r are equal, then r = s = d/t.

So, the average speed is 70 miles per hour and 50 miles per hour.

The total time taken is 12 hours.

So, the distance between 2 tows will be:

2*70*50/(70+50)

= 700/12

= 175/3 mi/hr

Then,

TR distance = r*t = (175/3)*12

700 miles/2

350 miles each way

Therefore, the distance between the two towns Townville and Villaville is 350 miles.

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The form of the equation y − 2 = 58(x + 16) is the (b) Point Slope Form

From the question, we have the equation to be

y − 2 = 58(x + 16)

The above equation is a linear equation

A  linear equation can be represented in three forms:

When the above forms are compared to y − 2 = 58(x + 16), we have the form to be y − Y = 58(x - X)

Hence, the equation is in its Point Slope Form

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Answer:

the answer should be 5 sorry if wrong

Answer:

5

Step-by-step explanation:

y=xx5

Answer:

a) 0.3429 = 34.29% probability there is 1 red ball out of the 2 balls drawn.

b) 0.3715 = 37.15% probability that there is at least 1 red ball out of 2 balls drawn

Step-by-step explanation:

The balls are drawn without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

In this question:

3 + 5 + 7 = 15 balls, which means that \(N = 15\)

3 red, which means that \(k = 3\)

2 drawn, which means that \(n = 2\)

a) Probability there is 1 red ball out of the 2 balls drawn

This is \(P(X = 1)\)

So

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)

\(P(X = 1) = h(1,15,2,3) = \frac{C_{3,1}*C_{12,1}}{C_{15,2}} = 0.3429\)

0.3429 = 34.29% probability there is 1 red ball out of the 2 balls drawn.

b) Probability there is at least 1 red ball out of 2 balls drawn

This is:

\(P(X \geq 1) = P(X = 1) + P(X = 2)\)

So

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)

\(P(X = 1) = h(1,15,2,3) = \frac{C_{3,1}*C_{12,1}}{C_{15,2}} = 0.3429\)

\(P(X = 2) = h(2,15,2,3) = \frac{C_{3,2}*C_{12,0}}{C_{15,2}} = 0.0286\)

\(P(X \geq 1) = P(X = 1) + P(X = 2) = 0.3429 + 0.0286 = 0.3715\)

0.3715 = 37.15% probability that there is at least 1 red ball out of 2 balls drawn

Therefore, when x is 13, y is 52 if y varies directly with x.

In mathematics, an equation is a statement that two expressions are equal. It is usually written using an equal sign (=). Equations can contain variables, which are usually represented by letters, and the goal is often to solve the equation for the value(s) of the variable(s) that make the equation true.

Here,

If y varies directly with x, then we can write the relationship between y and x using the equation:

y = kx

where k is the constant of proportionality. To solve for k, we can use the given information that when x is 7, y is 28:

28 = k(7)

Solving for k, we get:

k = 4

Now that we know k, we can use the equation to find y when x is 13:

y = 4(13)

y = 52

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Answer:

Step-by-step explanation:

First find the slope(m) between (0,-5) and (-5,-6)

m = \(\frac{y_2-y_1}{x_2-x_1}\) = \(\frac{-6-(-5)}{-5-0}\) = \(\frac{-1}{-5}\) =    \(\frac{1}{5}\)

y = \(\frac{1}{5}\)x -5

I attached the graph. I used desmos.

Hope that helps!

Answer:

1000$

Step-by-step explanation:

2%=20

1%=20/2=10

100%=10×100=1000

Answer:

431.36

Step-by-step explanation:

The number in the thousandths is smaller than 5 so the hundredth will stay the same.

Given:

A figure of a circle.

To find:

The value of x.

Solution:

Central angle theorem: According to this theorem, the central angle on an arc is twice of the subtended angle on that arc.

Using the central angle theorem, we get

\(x=2\times 35^\circ\)

\(x=70^\circ\)

Therefore, the value of x is 70 degrees.

Answer:

C

Step-by-step explanation:

The graphs are reflected across the y-axis.

The transformation on function f is (c) a vertical compression by a factor of 1/2

The functions are given as:

f(x) = 2^x

g(x) = 1/2(2^x)

The above means that:

g(x) = 1/2 * f(x)

The factor multiplied by f(x) to get g(x) is:

k = 1/2

The above factor is less than 1 but greater than 0.

This represents a vertical compression

Hence, the transformation on function f is (c) a vertical compression by a factor of 1/2

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Answer:

the unit of length ,mass , and time are same in both the system , thus, the SI system is the extended from of MKS system.

and why is the subject math lol

It is given in the question that: Net exports $4 Net foreign factor income 2 Investment 185 Government spending 195 Consumption 500 Depreciation 59. Therefore, GDP is $884, GNP is $886, and NDP is $825.

In order to calculate GDP, GNP, and NDP using the given data; we will use the formulas:

GDP = Consumption + Investment + Government spending + Net exports

GNP = GDP + Net foreign factor income

NDP = GDP - Depreciation

Given, Net exports = $4

Net foreign factor income = 2Investment = 185

Government spending = 195

Consumption = 500

Depreciation = 59GDP = Consumption + Investment + Government spending + Net exports

GDP = $500 + $185 + $195 + $4 = $884GNP = GDP + Net foreign factor income

GNP = $884 + $2 = $886NDP = GDP - Depreciation

NDP = $884 - $59 = $825

Therefore, GDP is $884, GNP is $886, and NDP is $825

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Answer:

As the question states - it's just a different notation to express the same thing.

When you represent a set with set notation, you look for a characteristic that identifies the elements of your set. For example, if you want to describe the set of all number greater than  

2

and less than  

10

, you write

{

x

∈

R

∣

2

<

x

<

10

}

Which you read as "All the real number  

x

(

x

∈

R

) such that (the symbol "|")  

x

is between  

2

and  

10

(

2

<

x

<

10

)

On the other hand, if you want to represent the set with interval notation, you need to know the upper and lower bound of the set, or possibly the upper and lower bound of all the intervals that compose the set.

For example, if your set is composed by all the numbers smaller than  

5

, or between  

10

and  

20

, or greater than  

100

, you write the following union of intervals:

(

−

∞

,

5

)

∪

(

10

,

20

)

∪

(

100

,

∞

)

This same set can be written in set notation:

{

x

∈

R

∣

x

<

5

or  

10

<

x

<

20

or  

x

>

100

}

Finally, note that if the characterization of the set is rather complex, the set notation becomes preferable to the interval one, which would require a great number of intervals in the union. In some other cases, it could be literally impossible to write a set in interval notation, for example is you consider only irrational numbers, you write

{

x

∈

R

∣

x

∉

Q

}

but you can't write is as union of intervals.

See explanation below

Step-by-step explanation:

Imagine we have to express  

[

a

,

b

]

in set notation

A

=

[

a

,

b

]

, then  

A

=

{

x

∈

R

/

a

≤

x

≤

b

}

In this notation we define the characteristics of all  

x

belonging to this set  

A

…x must be greater or equal to a and simultaneously smaller or equal to b...

Interval notation is other way to say the same but assuming that  

[

means the extreme a is IN the interval and  

(

means extreme  

a

is not.

I Hope This Helps.

Answer:

The best chart to show how your department's expenses compare to the total company's expenses, and hopefully save employee jobs, would be:

Pie Chart

Step-by-step explanation: