Solve the system of equations: x + y + z = 5; x - y + 3z = 9; and z = 6.
PLS PLS HELP ME

Answer:

Step-by-step explanation:

B

if you multiply you will have

6x^2+8x-5

Answer:  -4,-2,1,4,8,... it is neither arithmetic nor geometric

-1,3,7,11,15,... it is Arithmetic

36,12,4,4/3, 4/9,... it is Geometric

Step-by-step explanation:

-4,-2,1,4,8,...

When sequence is arithmetic then the difference between two terms should be same

When sequence is Geometric then the ratio of two consecutive terms should be same

-2-(-4) = 2

1-(-2) = 3

The fraction of silver or brown canoes is 7/10.

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Total canoes team = 10

5 teams have silver canoes team.

2 teams have brown canoes team.

Now,

The fraction of silver and brown canoes.

= (5 + 2) / 10

= 7/10

Thus,

7/10

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Answer:

15.757 im not sure but i came up with that one.

Step-by-step explanation:

The values of x for the tangent segments to the circles are: (25). x = 2 and (26). x = 4

A theorem of tangents to a circle states that if from one exterior point, two tangents are drawn to a circle then they have equal tangent segments.

(25). 2x - 1 = x + 1 {equal tangent segments}

2x - x = 1 + 1 {collect like terms}

x = 2

(26). 2x - 4 = x {equal tangent segments}

2x - x = 4 {collect like terms}

x = 4

Therefore, the values of x for the tangent segments to the circles are: (25). x = 2 and (26). x = 4

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Based on the provided information, we can say that Kibo has a volume of approximately 54.01 cubic meters.

To compare the volume of Kibo, Destiny, and Columbus, we need to calculate the volumes of each module.

The volume of a chamber can be determined utilizing the equation V = πr^2h, where r is the span and h is the level (or length for this situation) of the chamber.

For Kibo:

Radius (r) = 2.2 meters

Length (h) = 11.2 meters

V_kibo = π * (2.2^2) * 11.2

      = 4.84 * 11.2

      ≈ 54.01 cubic meters

For Destiny and Columbus, we would need their respective dimensions to calculate their volumes using the same formula.

Destiny is a U.S. laboratory module on the International Space Station. It is a multi-sided module, so we would need the measurements of each side to calculate its volume.

Columbus is a European laboratory module, which is also multi-sided.

Without the specific dimensions of Destiny and Columbus, we cannot accurately compare their volumes to Kibo. However, based on the provided information, we can say that Kibo has a volume of approximately 54.01 cubic meters.

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Answer:

(d) -12

Step-by-step explanation:

3a = _____

a = -4

3(-4) = ___

3(-4) = -12

The answer is (d) -12

Answer:

7,-2,15,4

Step-by-step explanation:

9. 7

10. -2

11. 15

12. 4

The value of given Polynomial 25y³ - 36y = 0 is 0, 6/5, -6/5.

A polynomial is a type of expression. An expression is a mathematical statement without an equal-to sign (=).

Here, given polynomial

              25y³ - 36y = 0

              y(25y² - 36) = 0

             y { (5y)² - (6)²} = 0

             y {(5y-6)(5y+6)} = 0

so, y = 0, or 5y-6 = 0  or 5y+6 = 0

      y = 0,  or  y = 6/5  or   y = -6/5

Thus, the value of given Polynomial 25y³ - 36y = 0 is 0, 6/5, -6/5.

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The solution to 25y³ - 36y = 0 are y = 0, y = 6/5 and y =-6/5

The polynomial is given as:

25y³ - 36y = 0

Factor out y in the above equation

y(25y² - 36) = 0

Split

y = 0 or 25y² - 36 = 0

Solving 25y² - 36 = 0, we have:

25y² - 36 = 0

Express 36 as 6² and 25 as 5²

(5y)² - 6² = 0

Apply the difference of two squares

(5y - 6)(5y + 6) = 0

Split

5y - 6 = 0 or 5y + 6 = 0

Solve for y

y = 6/5 or y = -6/5

Recall that:

y = 0

Hence, the solution to 25y³ - 36y = 0 are y = 0, y = 6/5 and y =-6/5

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Answer:

a. probability of 5/9
b. probability of 3/9

Step-by-step explanation:

All possible outcomes:

1 x 1 = 1
1 x 2 = 2
1 x 3 = 3
2 x 1 = 2
2 x 2 = 4
2 x 3 = 6
3 x 1 = 3
3 x 2 = 6
3 x 3 = 9

All outcomes with an even number:

1 x 2 = 2
2 x 1 = 2
2 x 2 = 4
2 x 3 = 6
3 x 2 = 6

All outcomes with a number greater than 5

2 x 3 = 6
3 x 2 = 6
3 x 3 = 9

If m/n is the probability that you do not eat green candy after you eat a red candy, then m + n is 6.

A bag contains 8 green candies and 4 red candies. If you eat five candies, there are relatively prime positive integers m and n so that m/n is the probability that you do not eat green candy after you eat a red candy. Below list the ways to accomplish this ordering along with their respective probabilities:

GRRRR : \(\frac{8}{12}\times\frac{4}{11} \times\frac{3}{10} \times\frac{2}{9} \times\frac{1}{8}\)

GGRRR : \(\frac{8}{12}\times\frac{7}{11} \times\frac{4}{10} \times\frac{3}{9} \times\frac{2}{8}\)

GGGRR : \(\frac{8}{12}\times\frac{7}{11} \times\frac{6}{10} \times\frac{4}{9} \times\frac{3}{8}\)

GGGGR : \(\frac{8}{12}\times\frac{7}{11} \times\frac{6}{10} \times\frac{5}{9} \times\frac{4}{8}\)

GGGGG : \(\frac{8}{12}\times\frac{7}{11} \times\frac{6}{10} \times\frac{5}{9} \times\frac{4}{8}\)

The sum is \(\frac{8\times3\times4(2+14+42+70+70)}{12.11.10.9.8}\)

Probability that you do not eat green candy after you eat a red candy =\(\frac{1}{5}\)

so m = 1 and n = 5

m + n =6

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The value of y in the triangle is 2√10 units.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

The value of y can be found using the similar triangle ratios as follows:

Hence,

8 / y = y / 5

cross multiply

y² = 8 × 5

y²= 40

square root both sides of the equation

y = √40

Therefore,

y = 2√10 units

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The statement is False.

If the equation of the regression line that relates hours per week spent in the lab, x, to GPA, y, is

y = 2.1 + 0.28x

If a student never goes to the lab (x=0), then the best prediction for their GPA would be y = 2.1 + 0.28*0 = 2.1.

A collection of statistical techniques known as regression analysis is used to estimate the associations between a dependent variable and one or more independent variables. It may be used to simulate the long-term link between variables and gauge how strongly the relationships between them are related.

The relationship between dispersed data points in any collection is shown by a regression line. When there is a linear pattern, it displays the relationship between the dependent y variable and independent x variables.

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The perimeter of a rectangle is given by the following formula:

P = 2w+ 2l

Where w is the width and l is the length of the figure.

The area of a rectangle is given by the following formula:

A = w×l

By replacing 18.2 for l and 5.6 for w, we get:

P = 2×5.6 + 2×18.2 = 47.6

A = 5.6×18.2 = 101.92

Then, the perimeter of the rectangle equals

Answer:

$3792.69

Step-by-step explanation:

First, we would find the area,

Area = width x length

Area = 9 x 11

Area = 99\(m^{2}\)

Since each square meter costs $38.31, we would multiply the cost with the area,

Total Cost = 99 x 38.31

Total Cost = $3792.69

(Anyone can correct me if I'm wrong)

The dimensions of the rectangular field are given as follows:

The perimeter of a rectangle is given by twice the sum of the length and the width of the rectangle, as follows:

P = 2(l + w).

For this problem, the perimeter is of 582 yards, hence:

2(l + w) = 582

l + w = 291.

The length of the field is 4 yards less than quadruple the width, hence:

l = 4w - 4.

Then the width is obtained as follows:

4w - 4 + w = 295

5w = 295

w = 295/5

w = 59.

The length is obtained as follows:

l = 4 x 59 - 4

l = 232 yards.

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Answer:

A) 42 boys can count. B) 42/53

Step-by-step explanation:

Good luckk

The coordinates of the point on the directed line segment from (-7, 9) to (3, -1) that partitions the segment into a ratio of 2 to 3 are (-3, 5).

To find the coordinates of the point that divides the directed line segment from (-7, 9) to (3, -1) into a ratio of 2 to 3, we can use the section formula.

Let's label the coordinates of the desired point as (x, y). According to the section formula, the x-coordinate of the point is given by:

x = (2 * 3 + 3 * (-7)) / (2 + 3) = (6 - 21) / 5 = -15 / 5 = -3

Similarly, the y-coordinate of the point is given by:

y = (2 * (-1) + 3 * 9) / (2 + 3) = (-2 + 27) / 5 = 25 / 5 = 5

Therefore, the coordinates of the point that divides the line segment in a ratio of 2 to 3 are (-3, 5).

To understand this conceptually, consider the line segment as a distance from the starting point (-7, 9) to the ending point (3, -1). The ratio of 2 to 3 means that the desired point is two-thirds of the way from the starting point and one-third of the way from the ending point. By calculating the x and y coordinates using the section formula, we find that the desired point is located at (-3, 5).

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Answer: (2,11)

Step-by-step explanation:

To find the point where the functions will intersect, we want to find the place that they are equal to each other. We do this by setting the equations equal to each other.

5x+1=-2x+15                       [add both sides by 2x]

7x+1=15                               [subtract both sides by 1]

7x=14                                  [divide both sides by 7]

x=2

Now, we know that the functions intersect at x=2. To find the point, we would plug x back into both equations to ensure that the points are the same.

f(2)=5(2)+1                         [multiply]

f(2)=10+1                            [add]

f(2)=11

The point on f(x) is (2,11).

g(2)=-2(2)+15                    [multiply]

g(2)=-4+15                         [add]

g(2)=11

The point on g(x) is (2,11).

Since the point at x=2 is the same for f(x) and g(x), we know that the graph intersects at (2,11).

Answer:

2/11

Step-by-step explanation:

Given

radius = 19 cm

Find

Area of a circle

Explanation

Area of a circle is given by

substitute the value of r in the above formula ,

Final Answer

Therefore ,the correct option is c.

The function f ( x ) = 2 x² + 5 will have the value 23 for f (- 3).

We are given the function:

f ( x ) = 2 x² + 5

We need to find the value of f ( -3 ).

We will do this by substituting the value of x = - 3 in the function and then evaluating the expression.

Putting x = -3 in the function, we get that:

f ( x = - 3 ) = 2 (- 3)² + 5

Solving the square, we get that:

f (- 3) = 2 ( 9 ) + 5

Simplifying the expression, we get that:

f (- 3) = 18 + 5

f (- 3) = 23

Therefore, we get that, the function f ( x ) = 2 x² + 5 will have the value 23 for f (- 3).

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The algebraic expression that will represent the perimeter in centimeters of the given rectangle is:  \((25.8x +11.2) $ cm\)

Recall:

Perimeter of a rectangle = 2(L + W)

Given the following dimension of a rectangle:

To find the expression that represents the perimeter, plug in the given values into the formula for perimeter.

Perimeter = \(2((4.5x + 3.4) + (8.4x + 2.2))\)

Perimeter = \(2(4.5x + 3.4 + 8.4x + 2.2)\)

Perimeter = \(2(12.9x + 5.6)\)

Perimeter = \(25.8x +11.2\)

Therefore, the algebraic expression that will represent the perimeter in centimeters of the given rectangle is:  \((25.8x +11.2) $ cm\)

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Answer:

585

Step-by-step explanation:

Explanation in picture below.

Therefore, the solution to the equation \((z + 1)^7 + (z + 1)^7 = 0\) in the complex number system is z = -1.

To solve the equation\((z + 1)^7 + (z + 1)^7 = 0\) in the complex number system, we can simplify the equation and then find the values of z that satisfy it.

Let's start by simplifying the equation:

\((z + 1)^7 + (z + 1)^7 = 0\)

We notice that both terms on the left side of the equation are identical, so we can rewrite it as:

2(z + 1)^7 = 0

Now, we can divide both sides of the equation by 2 to isolate the term\((z + 1)^7:\)

\((z + 1)^7 = 0\)

To find the solutions, we set each factor of \((z + 1)^7\)equal to zero. In other words, we set the exponent 7 to be a multiple of 2:

z + 1 = 0

From this equation, we find that z = -1.

It's important to note that complex numbers have a real and imaginary part.

In this case, since the equation simplifies to a real number, the solution is a real number (-1).

If the equation involved complex terms or the roots of unity, the solutions could include complex numbers as well.

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Answer:

57327392393629324

Step-by-step explanation:

Answer:

3/5 x less then or equal to sign 21

Step-by-step explanation:

just trust me

Answer:

105.5mm²

Step-by-step explanation:

There are a rectangle and two triangles.

Rectangle

6x13=78

Big Triangle

1/2x4x10.75=21.5

Small Triangle

1/2x3x4=6

78+21.5+6=105.5

Answer shown in bold

The non-bolded values to the left are not to be typed in the answer box. They're present to keep track of the values. In other words, you'll type "40" without quotes into the first box, then "19" without quotes in the second box, and so on.

========================================================

Explanations:

Let me know if you have any questions.

The probability that the next person will purchase one or more costumes can be found by dividing the number of visitors who purchased one or more costumes by the total number of visitors.

The total number of visitors is 105 + 41 + 8 = 154.

The number of visitors who purchased one or more costumes is 41 + 8 = 49.

So the probability that the next person will purchase one or more costumes is 49/154, which is approximately 0.32 to the nearest hundredth.

Answer:

Width = 2

Length = 5

Step-by-step explanation:

let A be the area of the rectangle

   L be the length of the rectangle

   w be the width of the rectangle

Formula: ‘area of a rectangle’

A = L × w

…………………………………………………

A = L × w

⇔ 10 = (w + 3) × w

⇔ 10 = w² + 3w

⇔ w² + 3w - 10 = 0  

Solving the quadratic equation w² + 3w - 10 =  0 :

Δ = 3² - 4(1)(-10) = 9 - (-40) = 9 + 40 = 49

then √Δ = 7

\(\Longrightarrow w=\frac{-b+\sqrt{\Delta } }{2a} =\frac{-3+7}{2} =2\)

  \(or\ w=\frac{-b-\sqrt{\Delta } }{2a} =\frac{-3-7}{2} =-5\)

-5 is not valid ,because w represents the width

which must be a positive number

Then  w = 2

Conclusion:

Width = 2

Length = 2 + 3 = 5