8x + 7y = 2
8x + 3y = 10

True, a data warehouse allows users to specify certain dimensions or characteristics.

In a data warehouse, dimensions represent the different aspects or characteristics by which data can be categorized or analyzed. These dimensions can include various attributes or variables that provide context and organize the data.

Users of a data warehouse can specify these dimensions based on their analytical needs and the nature of the data being stored.

For example, in a sales data warehouse, common dimensions may include product, customer, time, and location.

By specifying these dimensions, users can slice and dice the data based on different criteria and gain insights from various perspectives.

By defining dimensions, users can navigate through the data warehouse and perform multidimensional analysis using tools such as OLAP (Online Analytical Processing).

Dimensions provide a structure for organizing and querying data in a way that facilitates analysis and reporting.

In summary, a data warehouse allows users to specify dimensions or characteristics that help organize and analyze the data stored in the warehouse. These dimensions provide a framework for users to navigate and explore the data from different perspectives.

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1. The amplitude of the function is 2

2. The period of the function is 1

To find the parameters, we examine the equation to identify the functions present and compare with a general formula

The cos function is written considering the general formula in the form

sine function, y = A sin (bx + c) + d

where

A = amplitude

b = 2π / period

c  = phase shift

d = vertical shift

In the problem the values equation is G(x) = 2 cos [2π(x+2π/3)] - 5

rewriting the equation results to

G(x) = 2 cos (2πx + 4π²/3) - 5

A = 2

b = 2π / period = 2π

period = 1

Phase shift, c

c = 4π²/3

vertical translation of the function, d  = -5

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Answer:

96 ÷ 32 = 3 packs of crayons.

Step-by-step explanation:

Answer:

ABD

Step-by-step explanation:

Answer:

There are three possible types of solutions for a system of nonlinear equations involving a parabola and a line.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The Massachusetts Body of Liberties were technically the first ever legal code system established by the colonists, and established a central court that had full rights and jurisdictions over the citizens.

Answer:  speed = 17m/s

              time taken = 3min = 3 x 60 = 180 seconds   (1min = 60sec)

distance = ST

               = speed x time

                = 17 x 180

= 3060m

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Answer:

Julia had 120 peas to start .

Answer:

  120 peas

Step-by-step explanation:

Before Julia gave Vlada 15 peas, the ratio of their numbers was 3:2. Afterward, Julia still had 10 more peas. You want to know the number Julia started with.

Let j represent the initial number of peas Julia had. Then Vlada had 2/3j peas. After the transfer, the difference was ...

  (j -15) -(2/3j +15) = 10

  1/3j -30 = 10

  1/3j = 40

  j = 120

Julia had 120 peas at first.

__

Additional comment

The transfer of peas decreases the difference by 30, so if it remains 10 it must have originally been 40. The difference in initial ratio units is 3-2 = 1, so Julia's initial 3 ratio units represent 3·40 = 120 peas.

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The coordinates of the specified vertex after the given sequence of transformations is given by;

Q' = (3, -3).

In Mathematics, the translation of a geometric figure to the right simply means adding a digit to the value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure that is translated up simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image or parent function.

Mathematically, a horizontal translation to the right is modeled by this mathematical expression g(x) = f(x + N) while a vertical translation to the positive y-direction (upward) is modeled by this mathematical expression g(x) = f(x) + N.

Where:

By translating the coordinate Q (1, 3) two (2) units to the right, we have the following:

Coordinate Q (1, 3) → Coordinate Q' (1 + 2, 3) = Q (3, 3)

In Mathematics, a reflection across the x-axis would maintain the same x-coordinate while the sign of the y-coordinate would change from positive to negative. Therefore, a reflection over the x-axis is given by this transformation rule:

(x, y)      →       (x, -y)

Coordinate Q' (3, 3) → (3, -3).

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As given by the question

There are given that the right angle triangle

Now,

From the triangle, first, find the value of ST

So,

To find the value of ST, use the sine function

Then,

Then,

Now,

To find the value of RS, use sine function also

So,

Hence, the value of ST and RS is shown below:

Answer:

r = 8/5

Step-by-step explanation:

Step 1: Simplify

10/25 = r/4

10/25 simplifies to 2/5

5/25 = r/4

Step 2: Multiply all terms by the same value to eliminate fraction denominators

2/5 = r/4

4 × 2/5 = 4 × r/4

r/4 cancels out and becomes r

4 × 2/5 = r

4 × 2/5 = 8/5
8/5 = r

or

r = 8/5

The equation of the line that goes through the points (−3,−4) and (9,7) can be written in the form 5x - 12y = -75.

To find the equation:

The available points are (3,5) and (9,10).

The line's slope is given by:

\(\mathrm{m}=\frac{(10-5)}{[9-(-3)]}=\frac{5}{12}\)

The equation is as follows:

\(\begin{aligned}&y-5=\left(\frac{5}{12}\right)[\mathrm{x}-(-3)] \\&\mathrm{y}-5=\left(\frac{5}{12}\right)(\mathrm{x}+3)\end{aligned}\)

Solve it to obtain the equation:

\(\begin{aligned}&12 y-60=5 x+15 \\&5 x-12 y=-75\end{aligned}\)

Therefore, the equation is 5x - 12y = -75.

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The correct question is given below:
Find an equation of the line through the points (−3,5) and (9,10) and write it in standard form Ax+By=C, with A>0.

Hence , the price of the system $295 .

Let the price of the system be "x" .

It is given that in the first week her savings were $8 less than 2/5 the price of the system which can be represented by equation

First week savings =  (2/5)x -8

It is also given that in the second week, she saved 50 cents more than 1/2 the price of the system which can be represented by equation

Second week savings = (1/2)x +0.5

savings + short = price of system

(2/5)x -8 + (1/2)x +0.5 + 37 = x

 (2/5)x +  (1/2)x + 29.5 = x

   4x + 5x/ 10 + 29.5 = x

     9x/10+ 29.5 = x

       0.9x + 29.5 = x

          29.5 = x - 0.9x

           29.5 = 0.1x

           $ 295 = x

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Answer: d or b if not both of them a is your answer then hope this helps.

Step-by-step explanation:

Answer:  y = 1.125x  

Step-by-step explanation:

Divide the amount in dollars by the number of euros.

9/8 = 1.125

45/40 = 1.125

Since the constant change is 1.125, the input the  1.125 into the formula y=kx for k  to get the equation   y = 1.125x  

Answer:

68

Step-by-step explanation:

Answer:

ok this question contains many operations we have addition sign subtraction sign and multiplication sign so in this case we use bodmas and in the bodmas we see multiplication coming fast so the first two letters that have the multiplication sign between them should be multiplied so in this case put a bracket between those two numbers so that you have it like this oneplus (2 x 3)-(4*5) + 6 - 7 plus (8 * 9 )+ 10 so we multiply the numbers in the brackets so that our equation comes to 1 + 6 - 20 + 6 - 7 + 72 + 10 then we rearrange so that you have 1 + 6 plus 6 + 72 + 10 - 20 - 7 1 + 6 + 6 + 72 + 10 is 95 - 20 -7 and your final answer is 68

Answer: y = -1/3(x + 1)² + 4

Step-by-step explanation:

First of all, we know that the graph is going to be a parabola

So we can start off with the parent function, y = x²

Using vertex form, y = a(x - h)² + k, where the vertex is point (h, k):

we have the formula: y = a(x + 1)² + 4

If the parabola must pass through the point (2,1), we can substitute these for x and y in our equation to find a, and finish the problem:

1 = a(2 + 1)² + 4

-3 = a(3)²

-3 = 9a

a = -1/3

based on this, our final formula will be y = -1/3(x + 1)² + 4

Answer:6 days

Step-by-step explanation:

62-26=36

36/6=

6

Considering that each input is related to only one output, the correct option regarding whether the relation is a function is:

A. yes.

A relation represents a function when each value of the input is mapped to only one value of the output.

For this problem, we have that:

There are no repeated inputs, hence the relation is a function and option A is correct.

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One candy costs approximately 1.22 dollars.

Let's assume the cost of one candy is x dollars.

The information provided indicates that nine candies cost eleven dollars, which is stated as nine times eleven.

Similar to how 13 sweets cost 15 dollars, 13x = 15 can be used to illustrate this.

To find the cost of one candy, we need to solve for x in either of the equations. Let's solve the first equation:

9x = 11

Dividing both sides of the equation by 9:

x = 11/9

Therefore, one candy costs approximately 1.22 dollars (rounded to two decimal places).

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No, the line passing through  (-4, 26) and (-2, 0) is  not parallel to line passing through (10, 18) and (5, 3) because slopes of both lines are different.

Line is possible in 2-d forms so, it has only x and y-co-ordinates. Z-co-ordinates is not possible.

We know very well that to prove any two lines are parallel to each other we need to prove only whether their slopes are equal or not.

Now, talking about the slopes we know that if any line is passing from point(x₁,y₁) and again passing from other point(x₂,y₂) then slope(m) of that line is given by the formula=(y₂-y₁) / (x₂-x₁)

So, for first line we have (x₁, y₁)=(-4,26)

and (x₂, y₂)=(-2,0)

So, slope(m₁) of first line is =(0-26)/(-2 - (-4))

                  =>m₁ = -26/2

                   =>m₁ = -13     ----(eq1)

Similarly, for second line, we have (x₁, y₁)=(10,18)

and (x₂, y₂)=(5,3)

So, slope(m₂) of second line is =(3-18) / (5-10)

                =>m₂ = -15/-5

                 =>m₂=     3   -------(eq2)

On comparing eq1 and eq2,we get

 =>m₁≠m₂.

Hence, the given lines are not parallel.

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(Complete question) is:

Is the line through (-4, 26) and (-2, 0) parallel to the line through (10, 18) and (5, 3)?

If you go three times faster than another car, it will take nine times longer to stop your car than the other car.

To understand why, we need to consider the physics of stopping a car. The distance required to stop a car depends on the car's speed and braking ability.

Assuming the braking ability is the same for both cars, we can use the equation:

distance = (speed)² / (2 * deceleration)

where deceleration is the rate at which the car slows down.

Since we are assuming that the other car and your car have the same deceleration, we can write:

We know that your car is going three times faster than the other car, so:

speed your car = 3 * speed other car

Substituting this into the equation for the distance of your car, we get:

distance your car = (3 * speed other car)²/ (2 * deceleration)

distance your car = 9 * (speed other car)² / (2 * deceleration)

Therefore, the distance required to stop your car is nine times greater than the distance required to stop the other car. Since the time to stop is directly proportional to the distance required to stop, it will also take nine times longer to stop your car than the other car.

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The correct explicit formula for the geometric sequence {1/3, 1/9, 1/27, 1/81, ...} is D.

A geometric sequence is a sequence in which each term is obtained by multiplying the previous term by a constant factor called the common ratio (r). In this case, the common ratio is 1/3 because each term is obtained by dividing the previous term by 3.

The explicit formula for a geometric sequence is given by an = a1(r)^(n-1), where a1 is the first term and n is the term number.

Using this formula, we can find the explicit formula for the given sequence as follows:

a1 = 1/3 (the first term)

r = 1/3 (the common ratio)

So, the explicit formula is:

an = (1/3)(1/3)^(n-1) = 1/3^(n)

Therefore, option D, an = 1/3(1/3)^(n-1), is the correct formula for the given geometric sequence.

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Answer:

D

Step-by-step explanation:

Did the test

Step-by-step explanation:

15+10z=105

10z=105-15

10z=90

z=9

Answer:

$43.64

Step-by-step explanation:

If the tax rate = 3.9% and the product u are buying is priced at $42

Then, the amount you will pay for the object will be,

$42 + 3.9/100 * 42

=> 42 + 0.039 * 42

=> 42 + 1.638

=> 43.638

43.638 when rounded to the nearest hundredth is,

43.64

Hope it helps :)

Answer:

Step-by-step explanation:

I have attached.

total money she has is 32 $

now after buying she has left only with 20$

so she spent 32 - 20 = 12 $

she spent 12 $ for buying 9 packs of noisemaker,

9 Pack cost = 12 $

1 pack cost = 12 / 9

= 4/3 = 1.3333 $

so cost of each pack of noise is 1.33 $