What is the solution to the system of equations?
y = 2x + 3
y = -x +8

Answer:

The answer is \(3^3\times 2^2\).

Step-by-step explanation:

According to the rules of exponents

a^n = a x a x a x .... n times

So,

\(3^{2}\times (2^{3}+4)\\\\=9\times (8 +4)\\\\=108\\\\=3^{3}\times 2^{2}\)

Answer:

I'ma assume B because it's the only graph I see

Answer:

Step-by-step explanation:

5 bags= $12.50

1= ?

$12.50*1= 12.50

$12.50/5= $2.5

$2.5*5=$12.5

$2.5*3= $7.5

3 bags= $7.5

The plot represent the data A box plot titled Scores of Participants and labeled Scores uses a number line from 10 to 35 with primary markings and labels at 10, 15, 20, 25, 30, and 35.

The box extends from 17 to 24 on the number line.

A line in the box is at 23 The whiskers end at 12 and 28.

A box plot is a graphical rendition of statistical data based on the minimum, first quartile, median, third quartile, and maximum.

Given:

12 points

21 points

29 points

17 points

24 points

23 points

28 points

According to the given data,

A box plot titled Scores of Participants and labeled Scores uses a number line from 10 to 35 with primary markings and labels at 10, 15, 20, 25, 30, and 35.

The box extends from 17 to 24 on the number line.

A line in the box is at 23 The whiskers end at 12 and 28.

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Answer:

Rational

Step-by-step explanation:

Any number that can be represented as a fraction is rational. 13.654 can be represented as the mixed number 13 and 654/1000, making it a rational number.

This is rational.

13.654 can be rounded to the nearest whole which is 14.

Put a 1 underneath 14 and you get 14/1.

Since it can be a fraction, it is rational.

The break-even point is where the cost to make the games equal the revenue from selling them. Linear equation is used to determine revenue .

What are examples of linear equations?

Multiple variables may be present in a linear equation. Linear equations in two variables, for example, are used when a linear equation contains two variables. Examples of linear equations include \(2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, and 3x - y + z = 3.\)

\(x > =8.57,x\) represents the number of games, Sean will need to sell at least 9 games to make a profit.

The break-even point is where the cost to make the games equal the revenue from selling them. Therefore, we can set the two equations equal to each other and solve for x:

\(50x + 300 = 85x\)

\(300 = 35x\)

\(x = 8.57\)

So, Sean's break-even point is at approximately\((8.57, 727.14)\)on the graph.

To determine the least number of games Sean will need to sell in order to make a profit, we need to find the point on the graph where the revenue is greater than the cost. This occurs when:

\(85x > 50x + 300\)

\(35x > 300\)

\(x > 8.57\)

Since \(x\)represents the number of games, Sean will need to sell at least 9 games to make a profit.

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Answer: 113.04 cm^3

Step-by-step explanation:

The surface area of a cube is:

S = 6*L^2

then:

216 = 6*L^2

216/6 = L^2

L = √(36) = 6

So the length of the side of this square is L = 6cm

Then the diameter of the sphere is also 6 cm, and the radius is half the diameter, so the radius is 3cm.

Now the volume of a sphere is:

V = (4/3)*pi*r^3 = (4/3)*3.14*3^3 = 113.04 cm^3

Answer:

Umm:

Step-by-step explanation:

So C is correct but the solution wasn't because x and y both don't equal to 1. Here is the way to do it:

We work first on the second equation.

\(x + \frac{1}{y} = 3\)

Combine the two terms:

\(\frac{xy+1}{y} = 3\)

Since we know

\(xy=1\)

We can replace it:

\(\frac{1+1}{y} = 3\)

We can then solve that y = 2/3.

Then, we can plug this value back into the equation

\(xy=1\)

and get x = 3/2.

So, 2x + 3y does equal 5 but this is how you get there.

From the properties of the triangles we can conclude these:

The properties of the triangle are: The sum of all the angles of a triangle (of all types) is equal to 180°. The sum of the length of the two sides of a triangle is greater than the length of the third side. In the same way, the difference between the two sides of a triangle is less than the length of the third side.

Given, there are four equilateral triangles ABF, FDB, DBC, and EFD.

Since,

FE = 4a

ED = 3b

In an equilateral triangle, all sides of the triangles are equal

Thus, all sides of all four triangles will be equal,

Also given all four triangles are similar so all 12 sides will be equal, therefore, we can equate all sides to 4a or 3b which is similar.

So,

FB = 4a = 3b

FD = 4a = 3b

FB = 4a = 3b

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In order from top to bottom, your answer should be:

A

C

B

Answer:

y = eˣ

Step-by-step explanation:

(Graphed via Desmos)

The length οf diameter οf the given sphere is 18m.

A sphere is a three-dimensiοnal οbject which is rοund in shape. It has nο edges οr vertices. The sphere can be defined in three axes, thοse are x-axis, y-axis and z-axis.

The given diagram is a sphere.

Given that,

The surface area οf the sphere is  1017.36 m²

Fοrmula fοr surface area οf the sphere = 4πr² where r is the radius and π=3.14

Equating both we get,

4πr² = 1017.36

[ dividing bοth sides by 4 ]

⇒πr² = (1017.36)/4

⇒πr² = 254.34

[putting the value of π]

⇒r² = 254.34/ 3.14

⇒r² = 81

⇒r =± 9

As radius cannot be a negative value so we take r=9

Sο the radius οf the sphere is 9 m

Diameter = 2× radius =2×9= 18m

Hence, diameter οf the given sphere is 18m.

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Answer:

f(x)=2|x|

Step-by-step explanation:

graphing calculators work wonderz

The arithmetic mean provides a single measure for a certain population, also called the average.

The sum of a set of numbers divided by the total number of numbers in the set is known as the arithmetic mean or arithmetic average in mathematics and statistics.

The ratio of the total number of observations divided by the sum of all the given observations is known as the arithmetic mean. For instance, if the data set contains 5 observations, it is possible to get the arithmetic mean by adding all 5 of the given observations and dividing by 5.

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Answer2.58

Step-by-step explanation:

129 / 50 = 2.58

What is the unit rate for 20 pounds for $4.00? Which answer is correct?

(1): 5 pounds/$1.00

(2): 4 pounds/$1.00

(3): 1 pound/$4.00

(4): 1 pound/$5.00

Answer: 25 grams

Step-by-step explanation: 435-410

Answer:

No, she needs 1/6 cup more

Step-by-step explanation:

She has 3 1/4 cups

She uses  2 2/3

Subtract

3 1/4 - 2 2/3

Get a common denominator of 12

3 1/4 *3/3  - 2 2/3 *4/4

3 3/12 - 2 8/12

Borrow 1

2 12/12 +3/12 - 2 8/12

2 15/12 - 2 8/12

7/12

She borrows 1 cup

1 7/12

She needs 1 3/4 *3/3  =1 9/12

She is short

1 9/12 - 1 7/12 =  2/12  or 1 /6

Answer:

Yes, she will has 34 cups left

Step-by-step explanation:

In order to find the value of N in the equation when T = 60, we just need to apply the value of T and then calculate the value of N.

So we have that:

So the number of chirps per minute is 80

The length of the rectangular painting is equal to 76 cm.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

The area of a rectangular painting is 4636 cm². The width of the painting is equal to 61 cm.

The length of the painting is calculated as,

Area of rectangle = Length x Width

4636 = Length x 61

Length = 4636 / 61

Length = 76 cm

The length is 76 cm for the rectangle.

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\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ (4)^{\frac{-4}{2}} \implies (4)^{-2}\implies 4^{-2}\implies \cfrac{1}{4^2}\implies \cfrac{1}{16}\)

The 50th derivative of y=cos2x is \(& y^{50}(x)=-2^{50} \cos (2 x)\).

Consider y=cos 2x

Derivative: The rate of change of a function with respect to a variable. Derivatives are fundamental to the solution of problems in calculus and differential equations.

Finding the nth derivative means to take a few derivatives (1st, 2nd, 3rd…) and look for a pattern. If one exists, then you have a formula for the nth derivative. To find the nth derivative, find the first few derivatives to identify the pattern.  Apply the usual rules of differentiation to a function, then find each successive derivative to arrive at the nth.

The first derivative is

\($$\begin{aligned}& y^{\prime}=-2 \sin 2 x \\& =-2\left[\cos \left(2 x+\frac{\pi}{2}\right)\right]\end{aligned}$$\)

The second derivative is

\($$y^{\prime \prime}=-2^2\left[\cos \left(2 x+2 \cdot \frac{\pi}{2}\right)\right]$$\)

Similarly, we get the \(n^{th}\) derivative

\($$y^n(x)=-\left[2^n \cos \left(2 x+n \frac{\pi}{2}\right)\right]$$\)

When n=50

\($$\begin{aligned}& y^{50}(x)=-\left[2^{50} \cos \left(2 x+50 \cdot \frac{\pi}{2}\right)\right] \\& y^{50}(x)=-2^{50} \cos (2 x)\end{aligned}$$\)

Therefore, the \(50^{th}\) derivative of y = cos 2x is \(& y^{50}(x)=-2^{50} \cos (2 x)\).

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Answer:

Yes I am sure you did it right

Step-by-step explanation:

Answer:

(x,y)=(-3,-7)

Step-by-step explanation:

step 1

y=2x-1

y=3x+2

=

2x-1=3x+2

Answer:

Mark is x years old.

Sally is 10+x years old

Answer:

x= 2

y= 12

Step-by-step explanation:

2x+10=14

2x=4

x=2

3y-13=23

3y=36

y=12