What is the solution to the system of linear equations graphed below?
A.) (0, 3)
B.) (0, -2)
C.) (-2, -2 1/2)
D.) (-2 1/2, -2)

The missing number in the boxes using the concept of perfect square are;

1) 4

2) 7 and 2

3) 4

4) 3 and 9

5) 3

A perfect square is defined as a number that is the square of a whole number. For example, 36 is a perfect square being the square of 6. Other perfect squares that are between 0 and 1000 are 1, 4, 9, 16, 25, 3649, 64, e.t.c

1st box: We see it as;

___ * 2 * 2

Using the concept of perfect squares and the pattern given, we can say that the missing number is 4

2nd box: 14 * __ * ___

Using the concept of perfect squares and the pattern given, we can say that the missing numbers are respectively 7 and 2

3rd box: 2 * 8 * ___

Using the concept of perfect squares and the pattern given, we can say that the missing number is 4

4th box: __ * 3 * _____

Using the concept of perfect squares and the pattern given, we can say that the missing numbers are respectively 3 and 9

5th: 3 * ____

Using the concept of perfect squares and the pattern given, we can say that the missing number is 3

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Answer:

b. lol.

Step-by-step explanation:

yeah I'm almost positive

First, by solving for y, convert the equation of the given line into slope-intercept form y=mx+c .You obtain the slope of the equation as m. Since the slopes of perpendicular lines are negative reciprocal, the slope of the line we're looking is the negative reciprocal of the perpendicular equation.

By entering the supplied point into the formula y = mx + b and solving for b, we arrive at the value of b. Consequently, the line's equation is formed.

A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate.

Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by Δy and Δx, respectively.

m = y/x = y/x = change in y/change in x

where "m" represents a line's slope.

Additionally, the slope of the line may be shown as

tan θ = Δy/Δx

A line's slope often indicates the steepness and direction of the line.

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m = y/x = y/x = change in y/change in x

where "m" represents a line's slope.

Additionally, the slope of the line may be shown as

tan θ = Δy/Δx

Answer: y = 45x + 345

Step-by-step explanation:

Hope this helps!!! :)

In a triangle one side that lies on an extended line segment,  statement about x is true, x = 62 because 147−85=62 and 85 + 62 = 147. So Option B is correct

In mathematics, the triangle is a type of polygon which has three sides and three vertices. the sum of all the interior angles of the triangle is 180°

Given that,

A triangle, which has one interior angle 85° and one exterior angle 147°

Another exterior angle x = ?

It is already known that,

Sum of complementary angles are 180

So,

⇒  Y + 147 = 180

⇒  Y  = 180 - 147

⇒  Y = 33

sum of all the interior angles of the triangle is 180°

X + Y + 85 = 180

X = 180 - 85 - 33

X = 62

Hence, the value of x is 62

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10⁹ + 10⁸ + 10⁷ = 10⁷ (10² + 10¹ + 10⁰)

… = 10⁷ (100 + 10 + 1)

… = 10⁷ × 111

… = (2 × 5)⁷ × 111

… = 2⁷ × 5⁷ × 111

… = 2⁷ × 5⁶ × 555

Answer:

2, -7, 3 are your answers! :).

Step-by-step explanation:

The opposite of a positive would be it's negative form, and the opposite of a negative would be it's positive form.

        The angle between an edge of a cube and its diagonal is:

        θ  =  arccos 1/√3

Step-by-step explanation:

Theta  Symbol: (θ), Square-root Symbol: (√):

        Label the Points:

        A(0, 0, 0)

        B(1, 0, 0)

        C(1, 1, 1)

                    AB  is the Edge

                    AC is the Diagonal

       The Lenth of the Edge AB  is (1) Since it's the side length of the cube.

       AC = √(1 - 0)^2 + (1 - 0)^2 + (1 - 0)^2 = √3

        The Dot Product Formula:

        u * v  =   |u| |v| cos  θ, Where θ is the angle between the vectors:

        AB  = (1, 0, 0 )

        AC  = (1, 1, 1 )

        AB * AC = (1)(1)   + (0)(1)  + (0)(1)  =  1

        1  =  (1)(√3)  cos  θ

        Divide both sides by √3

        cos  θ  = 1/√3

       θ  =  arccos 1/√3

     Therefore,  The angle between an edge of a cube and its diagonal is:

        θ  =  arccos 1/√3

I  hope this helps!

Answer:

3

Step-by-step explanation:

I hope this answer helpful

Answer:

3

Step-by-step explanation:

The actual prime factors of 60 are 2, 3, and 5.

Answer:

3

Step-by-step explanation:

prime fatorizations are 2, 3, and 5

Answer:

(5, 3 )

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 90°

a point (x, y ) → (y, - x ) , thus

(- 3, 5 ) → (5, 3 )

Answer:

(-5,-3)

Step-by-step explanation:

The points x ≤ 1 2/3 and x<-3/4 has plotted in the number line

A number line is a visual representation of the real number system. It is a straight line on which numbers are marked at equal intervals, with zero in the center and positive numbers to the right of zero and negative numbers to the left of zero

The line represents the set of all real numbers, with negative numbers to the left of zero and positive numbers to the right. The point marked with a circle (o) represents the value of x that satisfies both conditions, which is x ≤ 1 2/3 and x < -3/4. Since -3/4 is less than 1 2/3, any value of x that satisfies x ≤ 1 2/3 must also satisfy x < -3/4, so the two conditions are equivalent in this case.

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The probability that the team will win the sport is 77%.

Given that an area kicker in pro football incorporates a 77% probability of creating a field goal over 40 yards and every attempt field goal is independent.

Probability is how something is likely to happen. The probability of a happening is calculated by the probability formula by simply dividing the favorable number of outcomes by the overall number of possible outcomes.

So, his team will win the sport if he makes a goal otherwise loses.

Therefore, the Probability that his team will win the sport P[E] =P[making a field goal]

P[E]=77%

Hence, the probability that the team will win the sport when making a field goal is 77%.

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Answer:16(1+2)

Step-by-step explanation:

The number of ways can five of the nine us supreme court justices agree is 3024 ways.

The number of ways that five of the nine us supreme court justices agree will be calculated thus:

= 9! / 5!

= (9 × 8 × 7 × 6 × 5 × 4 × 3 × 2) / (5 × 4 × 3 × 2)

= 3024

There'll be 3024 ways.

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Answer:

C

Step-by-step explanation:

Answer: c

Step-by-step explanation:

The term ( 1 -0.125) is a decay factor which means the value of system decreased by 12.5% each year.

The process of reducing an amount by a consistent percentage rate over a period of time is called exponentially decay.

\(y = a(1-r)^{x}\)

a is initial amount

1-r is decay factor

x is time period

According to the given question.

We have a exponential function.

\(V = 100,00(1-0.125)^{y}\)

If we compare the above function with exponential decay rate formula i.e.

\(y = a(1-r)^{x}\)

We get,

a = 100,000

r = 0.125

In \(V = 100,000(1-0.125)^{y}\), the term ( 1 -0.125) is a decay factor which means the value of system decreased by 12.5% each year.

Thus, option A is correct.

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The area of the largest possible norman window with a perimeter of 25 ft is 43.75 ft²

Let r = the semicircle's radius

h = the rectangle's radius

2r = the window's width

C = 2πr is the formula for the perimeter of a circle,

The perimeter of the semicircle =πr

The perimeter of the window is

P=πr + 2h + 2r = 25

2h + (π +2)r = 25

h = ½[25 - (π + 2)r]

h = 12.5 - (π/2 +1)r ...............(1)

The formula for the area of a circle is A= πr²,  so

½πr² = the perimeter of the semicircle

The area of the window is

A = ½πr² + 2rh.............. (2)

Substitute (1) with (2).

A = ½πr² + 2r[12.5 - (π/2 +1)r] = ½πr² + 25r - (π +2)r²

A = 25r - (π + 2 - π/2)r²

A =  -(π/2 + 2)r² + 25r ........(3)

One way to notice the vertex is to set the first derivative equal to zero.

dA/dr =-2(π/2 + 2)r + 25 = 0

-(π + 4)r  + 25 = 0    

 r = 25/(π + 4)

 r ≈ 3.50 ft .......... (4)

Substitute (4) with (1).

h = 12.5 - (π/2 +1)(3.50) = 12.5 - (2.571× 3.50)

h  = 12.5 - 9.00 = 3.50  

h = 3.50 ft

Area =  1.571(3.50)² + 2×3.50×3.50 = 19.25 + 24.50

Area = 43.75 ft²

So, the area is 43.75 ft².

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The area of Chuck's rectangle is 8.17 square units.

The area of the rectangle means the region enclosed by the perimeter of the rectangle and is equal to product of length and width.

To find the area , we will multiply its width by its height. If we know two sides of the rectangle that have different lengths, then, we have height and the width.

Chuck's rectangle has a length of 3 1/2 units = 7/2 units

Chuck's rectangle has width of 2 1/3 units = 7/3 units.

Area = Length × Width

Area = (7/2) units × (7/3) units

Area = 49/6 square units.

Area = 8.17 square units.

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Answer:

the answer is one solution

Answer:

x=0

This means that there is a solution.

Step-by-step explanation:

Step 1- Distribute into the parenthesis

-14-8x= (-2)-3x+(-2)7

Step 2- Multiply

-14-8x= 6x-14

Step 3- Add 8x to both sides.

-14x-8x= 6x-14

     +8x +8x

Step 4- Add 14 to both sides.

-14= 14x-14

+14       +14

Step 5- Divide both sides by 14.

0 = 14x

14    14

x=0

The side x in the figure of right triangle is solved to be

The side x is worked using SOH CAH TOA, this is an acronym for the formulae below

Sin = opposite / hypotenuse - SOH

Cos = adjacent / hypotenuse - CAH

Tan = opposite / adjacent - TOA

The formulae is used for right triangles and will be used to solve for side x. Using tan, TOA

The values are as follows

the given angle = 51 degrees

opposite = x

adjacent = 15

tan (given angle) = Opposite / Adjacent

substituting the values

tan 51 = x / 15

x = 15 * tan 51

x = 18.52

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To answer the question, no, the n-tuple (x,x,x,....x) does not necessarily have to consist of non-negative values.

An n-tuple is a sequence of n elements, and in mathematics, it can refer to a sequence of real numbers, complex numbers, or other types of mathematical objects. In the case of the given set of n-tuples, it specifies that the n-tuple consists of real numbers and that all the elements in the tuple have the same value, which is denoted by x.

The definition of the set only specifies that the elements are real numbers and that they are all equal to each other. Therefore, the elements in the tuple can be positive, negative, or zero.

However, if the context of the problem or application requires the elements to be non-negative, then this restriction should be explicitly stated.

For example, if the n-tuple represents a set of quantities that cannot be negative, such as lengths, areas, or volumes, then it is appropriate to specify that the elements are non-negative real numbers.

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Answer:

90 degrees.

Step-by-step explanation:

Answer:

Left box:  1/2n

Right box = 2n - 22

Step-by-step explanation:

Since we want one-half the number and n represents the unknown number, we have 1/2n on the left-hand side of the equation.

Thus, you want to put 1/2n in box on the left.

Twice the number and 22 less than this is given by:  y: 2n - 22 less than this means we subtract.  Thus, we have 2n - 22 as the numerator on the right hand side of the equation.

Thus, you want to put 2n - 22 in the box on the right.

Answer:

This is a basic cubic function- thus the domain is all real numbers. You could think about domain as the possible x values for a graph. Since this cubic function extends from x=negative infinity to x=positive infinity, the range is all real numbers, or (-infinite, infinite) if you are told to write in interval notation.

Hope this helps!

The domain of \(y= x^{3}\) are all real numbers, or  R due to the fact that \(x^{3}\)  is a polynomial, which means its domain is R too.

Solution:

The domain of a particular expression is all real numbers except in the place where expression is undefined. The domain of any graph includes all the x-values that are solutions.

Interval Notation:

(-

Set-Builder Notation:

{x|x ∈R}

Determine the domain from the graph:

Thus, the domain of is:

(−∞,∞), {x|x∈R}

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(a) The firm's output supply function is given by q = (p + 199) / 2.

(b) The market-equilibrium price is $32.56, and the equilibrium number of firms is 10.

(c) Each firm sells 70 computers in the long run.

(39 - 0.009q) = (2q - 2) / q

Simplifying the equation, we find:

q = (p + 199) / 2

This represents the firm's output supply function.

p = 39 - 0.009((p + 199) / 2)

Simplifying and solving for p, we get:

p ≈ $32.56

Substituting this price back into the output supply function, we find:

q = (32.56 + 199) / 2 ≈ 115.78

Given that each firm produces 70 computers in the long run, we can calculate the equilibrium number of firms:

Number of firms = q / 70 ≈ 10

70 * 10 = 700

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Answer:

(-2,2)

Step-by-step explanation:

x= -2

y= 2