2. What is the sum of the three solutions (find the values for x, y, and z, then add the answers)?
2x + 3y − z = 5 x
− 3y + 2z = −6
3x + y − 4z = −8
please show steps

A counter-example to the given conclusion is the difference between the numbers 15 and 25, where both are positive, but the difference gives a negative result.

Here we are shown some differences between positive numbers:

7 - 3 = 4

8 - 5 = 3

9 - 8 = 1

And the conclusion is:

"The difference of two positive numbers is always positive".

To find a counter-example we just need to find two positive numbers such that the difference between these two positive numbers gives a negative number as a result.

An example of that can be the numbers 15 and 25, if we take the difference we will get:

15 - 25 = -10

Here we can see that the difference between two positive numbers gives a negative number as an outcome, so this is our counter-example.

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The value of x from the equation 3x + 4 = 31 and x + 4 = 13 is 9.

3x + 4 = 31

x + 4 = 13

From equation (2)

x + 4 = 13

subtract 4 from both sides

x = 13 - 4

x = 9

Substitute x = 9 into (1)

3x + 4 = 31

3(9) + 4 = 31

27 + 4 = 31

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Answer:

\(\mathbf{\dfrac{dV}{dt} = \pi \bigg ( \dfrac{{t}+2}{4\sqrt{t}}\bigg)}\)

Step-by-step explanation:

Given that:

The radius of a right cylinder is given by √(t+6) and its height is 1/6√t;

The volume of a given circular cylinder is:

\(V = \pi r^2 h\)

\(V = \pi(t+6) \bigg ( \dfrac{\sqrt{t}}{6}\bigg)\)

\(V = \pi \bigg( \dfrac{t^{3/2}}{6}+ \sqrt{t} \bigg)\)

\(\dfrac{dV}{dt} = \pi \bigg ( \dfrac{3 \sqrt{t}}{12}+ \dfrac{1}{2\sqrt{t}} \bigg)\)

\(\dfrac{dV}{dt} = \pi \bigg ( \dfrac{3t}{12 \sqrt{t}}+ \dfrac{6}{12\sqrt{t}} \bigg)\)

\(\dfrac{dV}{dt} = \pi \bigg ( \dfrac{3 {t}+6}{12\sqrt{t}}\bigg)\)

\(\mathbf{\dfrac{dV}{dt} = \pi \bigg ( \dfrac{{t}+2}{4\sqrt{t}}\bigg)}\)

Answer:

Sophia gets 7,150

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

The measure of each exterior angles of rectangle is 90°

From the question, we have the following parameters that can be used in our computation:

A rectangle

A rectangle is a polygon with 4 sides

So, the measure of the exterior angle can be calculated using the formula for the exterior angles in a polygon

The exterior angles in a polygon are found by using:

Exterior of a rectangle in a polygon =  360°/Number of sides of the polygon

In this case,

The number of sides of the rectangle = 4

So, we have

Exterior of a rectangle =  360°/4

Evaluate

Exterior of a rectangle =  90°

Hence, the value of the measure of each exterior angles of rectangle is 90°

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Complete question

Find the measure of each exterior angles of rectangle?

Step by step​

☁️ Answer ☁️

annyeonghaseyo!

The answer is:

B - x = 5

Hope it helps!

Have a nice day hyung/noona!!~ ￣▽￣❤️

The surface area of the pyramid is A = 265.23 inches²

The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid

Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

Given data ,

Let the surface area of hexagonal pyramid be represented as A

Surface area of hexagonal pyramid = Area of base + area of lateral surface

Area of the base = 93.5 inches²

Now , the Area of the lateral surface = 3a √ ( h² + ( 3a²/4 ) )

where a = 6 inches

h = 8 inches

Substituting the values in the equation , we get

Area of the lateral surface = ( 3 x 6 ) √ ( 64 + ( 3 x 36 / 4 ) )

On simplifying the equation , we get

Area of the lateral surface = 171.7 inches²

So , Surface area of hexagonal pyramid = Area of base + area of lateral surface

Surface area of hexagonal pyramid A = 93.5 inches² + 171.7 inches²

Surface area of hexagonal pyramid A = 265.23 inches²

Hence , the surface area of hexagonal pyramid is 265.23 inches²

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9514 1404 393

Answer:

  (1/5)^8

Step-by-step explanation:

The applicable rules of exponents are ...

  a = a^1

  (a^b)(a^c) = a^(b+c)

__

(1/5)^3 · (1/5)^4 · (1/5) = (1/5)^(3+4+1) = (1/5)^8

  = 1/390625

The real-life situation that is likely to involve a quadrilateral is tiling a trapezoidal floor. That is option C.

A quadrilateral is defined as the structure or object that has four sides or edges, and also has four corners or vertices.

There are various types of quadrilateral that includes the following:

Therefore, the tilling of trapezoidal floor is a typical example of a real-life situation that is likely to involve a quadrilateral.

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If a pole has two wires attached to it, one on each side, forming two right triangles as shown, then the height of the pole is 29.6 feet

Consider the triangle on left hand side

The length of the base = 34 feet

The measure of angle = 41 degrees

Opposite side is the height of the pole

Here we have to use the trigonometric functions

sin θ = Opposite side / Hypotenuse

cos θ = Adjacent side / Hypotenuse

tan θ = Opposite side / Adjacent side

Here we have to use the equation of tan θ

Substitute the values in the equation

tan 41 = Opposite side / 34 feet

Opposite side = 34 × tan 41

= 29.6 feet

Therefore, the height of the pole is 29.6 feet

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Answer:

3  1/3

Step-by-step explanation:

The type of model that best fits the situation of a $500 raise in salary each year is a linear model.

In a linear model, the dependent variable changes a constant amount for constant increments of the independent variable.

In the given case, the dependent variable is the salary and the independent variable is the year.

You may build a table to show that for increments of 1 year the increments of the salary is $500:

Year         Salary        Change in year         Change in salary

2010           A                           -                                       -

2011           A + 500     2011 - 2010 = 1          A + 500 - 500 = 500

2012          A + 1,000   2012 - 2011 = 1          A + 1,000 - (A + 500) = 500

So, you can see that every year the salary increases the same amount ($500).

In general, a linear model is represented by the general equation y = mx + b, where x is the change of y per unit change of x, and b is the initial value (y-intercept).              

In this case, m = $500 and b is the starting salary: y = 500x + b.

Answer:

skewed right

Step-by-step explanation:

I took the k12 test and I got the answer right

Answer:

you place the 1 under the integer and follow the steps keep change it flip it . SO basically you keep the integer and the 1 and you change the sign to division and you place the numerator where the denominator is and the  denominator goes where the numerator is.

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 /13

Answer:

1/13???

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

-5 x 7 = -35

-12 x 0 = 0

-35 x 0 = 0

I hope this helped!

The correlation coefficient of the dataset on the table is 0.8271

See attachment for the proper table that represents the relationship

Next, we compute a correlation coefficient using a graphing calculator.

The graphing calculator has the following calculation summary:

X Values

Y Values

X and Y Combined

The correlation coefficient is calculated using:

\(r = \frac{\sum((X - \bar y)(Y - \bar x)) }{ \sqrt{(SSx)(SSy)}}\)

So, we have:

\(r = \frac{141.467}{\sqrt{(20.733) * (1410.933)}}\)

Evaluate

r  = 0.8271

Hence, the correlation coefficient is 0.8271

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To find the measure of the geometry-big circle, we need to sum up the measures of all the arcs around the circle.

We are given the following measures:

\(\sf\:m\angle AB = 56 \\\)

\(\sf\:m\angle BC = 59 \\\)

\(\sf\:m\angle CD = 63 \\\)

\(\sf\:m\angle DE = 63 \\\)

\(\sf\:m\angle EF = 31 \\\)

To find the measure of the geometry-big circle, we add up these measures:

\(\sf\:m\angle AB + m\angle BC + m\angle CD + m\angle DE + m\angle EF \\\)

Substituting the given values:

\(\sf\:56 + 59 + 63 + 63 + 31 \\\)

Simplifying the expression:

\(\sf\:272 \\\)

Therefore, the measure of the geometry-big circle is 272.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

\(15 + ( - 2) + - 9 = 13 - 9 = 4\)

#Goodluck!

\(1.4 < \sqrt{2} < 1.5\hspace{5em}1.7 < \sqrt{3} < 1.8 \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lllll} 1.7& < &\sqrt{3}& < &1.8\\\\ 1.7-\sqrt{2}& < &\sqrt{3}-\sqrt{2}& < &1.8-\sqrt{2}\\\\ 1.7-1.5& < &\sqrt{3}-\sqrt{2}& < &1.8-1.4\\\\ 0.2& < &\sqrt{3}-\sqrt{2}& < &0.4 \end{array}\)

we're subtracting the upper-bound of √2, so is the most we can subtract from 1.7, and we're subtracting the lower-bound of √2 from 1.8, that way the resultant is within range.

The total number of possible outcomes for Event A and Event B is 66.

The total number of outcomes for both events occurring simultaneously is just the product of the number of outcomes for each event if event A has 11 potential outcomes and event B has 6 possible outcomes and both events are independent.

Therefore, we can multiply the number of possibilities for event A (11) by the number of outcomes for event B (6) to determine the total number of potential outcomes for both events A and B:

11 x 6 = 66

Therefore, if events A and B occur simultaneously, there are 66 alternative outcomes.

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Step-by-step explanation:

please mark me as brainlest

We can be performed Multiplication on algebraic expressions in the same way as it can be performed on two whole numbers or fractions.

Multiplication of algebraic expressions or variable expressions involves multiplying two expressions combined with various arithmetic operations like addition, subtraction, multiplication, and division and contains constants, variables, terms, and coefficients.

Multiplying the algebraic equation involves the following steps.

1. Multiply the coefficients of the terms, add the powers of the variables with the same base, and obtain the algebraic sum of the like and unlike terms before learning about the multiplication of algebraic expression.

The multiplication of two terms with the same signs is positive, and two terms with different signs are negative.

Example:

−a×−b=ab

a×−b=−ab

We can add the exponents of the same bases in case of multiplication as a^m×a^n=a^m+n

Example:

a^2×a^3=a^2+3=a^5

b^5×b^8=b^5+8=b^13

Algebraic Expression: An algebraic expression is the collection of the constants and the variables connected by fundamental operators like addition (+), subtraction (−), etc.

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The costs were $2.50 each and received a $2.00 discount on his total bill. If he paid $10.50

Linear system

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Given

2.5x - 2 = 10.5 is a linear equation.

To find

The number of books.

How to get it?

2.5x - 2 = 10.5 is a linear equation.

On simplifying, we get

2.5x - 2 = 10.5

    2.5x = 12.5

          x = 5

The number of books is 5.

Thus, the costs were $2.50 each and received a $2.00 discount on his total bill. If he paid $10.50.

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Answer:

  B.  quadratic

Step-by-step explanation:

You want to know the kind of function that would best fit the points shown on the graph.

The points on the graph demonstrate a slope that starts out positive and decreases through 0 to a slope with a negative value.

A linear function has a constant slope.

An exponential function has a continuously increasing or continuously decreasing slope.

A quadratic function has a slope that changes sign, matching the slope of the curve joining the given points.

The equation that best fits the given data will be quadratic.

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