(3×2)×8 = k×(8×3) what dose the k stand for

Answer:

Step-by-step explanation:

Ok:

1. Use PEMDAS to solve equations(Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

First parentheses:

4(x−5)=20

4x-20=20

Second add subtract from both sides by isolating variable x!

4x-20=20

4x=40

4*x=40

x=40/4

x=10

3. Answer: x=10

Answer:

x=1,5

Step-by-step explanation:

X^2-6x+5<0

(x-5)(x-1)<0

x=1,5

Answer:

Step-by-step explanation:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

[tex]A=5300(1+\frac{.08}{12} )^{12\times6[/tex]

[tex]A=5300(1.00666666667)^{72}[/tex]

[tex]A=5300\times1.613502[/tex]

[tex]A=8551.561489[/tex]

Now, it is up to you to round to the nearest cent.

Thanks,

Eddie

Answer:

Both angles are 56°

Step-by-step explanation:

These angles are vertical angles and vertical angles are congruent

5x + 1 = 6x -10  Subtract 5x from both sides

1 = x -10  Add 10 to both sides

11 = x  Plug this back into one of the expressions to find the measurement of the angels

5x + 1

5(11) + 1

55 + 1

56  or

6x - 10

6(11) -10

66 - 10

56

Step-by-step explanation:

b.) 8/7≈ 1.1

Final.) and then using the exponential decay formula, 18.1 will be left after

Half plane is both open and closed.

A half-plane is a section of a plane with all of its points on one side and none on the other of an endless straight line.

An inequality of half plane is: a boundary that divides the coordinate plane in half results from graphing an inequality on the coordinate plane. They are each referred to as half-planes.

Y > X is the equation for the upper-half plane. The y-coordinate of C is smaller than its x-coordinate in a similar manner. Y X is the equation for the lower-half plane.

A half-plane is a section of a plane with all of its points on one side and none on the other of an endless straight line. It is referred to as a closed half-plane if the points along the line are included. It is referred to as an open half-plane if the line's points are not taken into account.

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The equation (x - 3)² / 144 + (y - 5)² / 196 = 1 is the standard form of the ellipse.

Herein we know the main features of a vertical ellipse, that is, the center and the lengths of its axes. The standard form of the equation of the ellipse:

(x - h)² / a² + (y - k)² / b² = 1, b > a

Where:

If we know that (h, k) = (3, 5), a = 12, b = 14, then the standard form of the equation of the ellipse is:

(x - 3)² / 12² + (y - 5)² / 14² = 1

(x - 3)² / 144 + (y - 5)² / 196 = 1

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Trigonometric functions have the same maximum value y = arcsinx and y = arccosx.

What is Trigonometric Function?

Trigonometric functions—also referred to as circular functions—are the functions of a triangle's angle. It implies that these trig functions provide the relationship between a triangle's angles and sides.

Arcsin, Arccos, Arcsec, and similar symbols are used to represent inverse trigonometric functions.

Inverse functions refer to the trigonometric operations that are used to determine an angle from any of the angle's trigonometric ratios.

When solving inverse trigonometric equations, the following formula is used:

Arcsinx = Arcsinx -

arccosx = pi-arccosx.

Arctan = Arctan - Arctan

arsecx = pi - arsecx

The maximum values we obtain from the following equations are:

arcsinx = -1 to 1

arccosx = -1 to 1

arctanx = -pi/2 to pi/2

arcsecx = ∞

So the trigonometric functions which have the same maximum value is arcsinx and arccosx.

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As we dilate rectangle ABCD by a scale factor of 1/2 and use E as the center, the coordinates of the point D' = (2, -1).

A rectangle is a quadrilateral in Euclidean plane geometry with four right angles.

The coordinates of the rectangle's points A'B'C'D' are as follows:

A' = the point's coordinates (-2, -1)

B' = the coordinates of the point (-2, 1)

C' = the coordinates of the point (2, 1)

D' = the coordinates of the point (2, -1)

Using the point P as the chart's origin, we get;

The coordinates of point B are (-4, 2), and the coordinates of point C are (4, 2).

Given that the sides are parallel to each other, the coordinates of point A = (-4, -2) The coordinates of point D = (4, -2)

We have; given that the sides are parallel to the axis.

The segment length AB = 2 - (-2) = 4

The segment length BC = 4 - (-4) = 8

The segment length CD = 2 - (-2) = 4

The segment length AD = 4 - (-4) = 8

As a result, a 1/2 dilation yields;

The segment length A'B' = AB/2 = 4/2 = 2

The segment length B'C' = BC/2 = 8/2 = 4

The segment length C'D' = CD/2 = 4/2 = 2

The segment length A'D' = AD/2 = 8/2 = 4

Point A' coordinates = Point A/2 coordinates = (-4, -2)/2 = (-2, -1)

= (-4, 2)/2 = (-2, 1) (-2, 1)

The coordinates of the point B' = (-2, 1) The coordinates of the point C' = (4, 2)/2 = (2, 1)

C' = the coordinates of the point (2, 1)

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The value  of x and y is  3

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equals sign =. [2] [3] In other languages, the word equation and its cognates may have slightly different meanings; for example, in French, an équation is defined as containing one or more variables, whereas in English, an equation is any well-formed formula consisting of two expressions linked by an equals sign.

Let the equations be

x + 3y = 8    ..............(1)

x + y = 2    ..............(2)

substracting equation 1 from 2

(x + 3y) - (x + y ) = 8 - 2

x + 3y - x + y = 6

3y - y = 6

2y =6

y = 6/2

y = 3

multiply the equation 2  with value of 3

x + y=2*3

x+y =6

x+3 = 6

x = 6 - 3

x = 3

Therefore the value of x and y is both are 3

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The ratio of a:b is 3:16

What is Ratio?

Ratio ratio is a comparison of two or more numbers that indicates their sizes in relation to each other. A ratio compares two quantities by division. That is, a:b = a/b

To find the ratio a:b

[tex]\frac{a+3b}{5}[/tex] = [tex]\frac{a-2b}{2}[/tex]

Cross multiply

2(a+3b) = 5(a-2b)

Open bracket

2a + 6b = 5a - 10b

Collect like terms

2a - 5a = -10b - 6b

-3a = -16b

Divides through by -1

-3a/-1 = -16b/-1

3a = 16b

The Ratio a:b is 3:16

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-3 is less than 2

< is the symbol

The mean and the standard deviation of the sampling distribution of x are given as follows:

The mean and the standard deviation of the sampling distribution of x are defined according to the Central Limit Theorem, which states that:

The parameters for this problem are given as follows:

Hence the standard deviation for the sampling distribution of x is given as follows:

s = 60/sqrt(10) = 19 seconds.

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The value of (r + s) in the given equation, (x+r)(x+s) = x² + 3x - 10, is (r + s) = 3

From the question, we are to determine the value of the given expression.

The expression we are to determine its value is

(r + s)

To do this, we will compare the terms of the given equation.

From the given equation

(x+r)(x+s) = x² + 3x - 10

First, we will expand the left-hand side of the equation

Expanding the left-hand side of the equation

(x+r)(x+s)

x(x + s) + r(x + s)

x² + xs + xr + rs

Factor the middle expressions

x² + x(s + r) + rs

x² + x(r + s) + rs

x² + (r + s)x + rs

Now, compare the resulting expression to the expression on the right-hand side

x² + 3x - 10

By comparison,

r + s = 3

Hence, the value is 3

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If he has $2.34 to spent on oranges, then he can buy 6 oranges

Total number of oranges in a bag = 4 oranges

The cost of 4 oranges = $1.4

The total amount that he spent = $2.34

Here we have to use the unitary method

The cost of 1 orange = The cost of 4 oranges / 4

Substitute the values in the equation

= 1.4/4

= $0.35

Then the number of oranges that he bought =  The total amount that he spent / The cost of 1 orange

Substitute the values in the equation

= 2.34 / 0.35

Divide the terms

= 6.68

≈ 6

Hence, he can buy 6 oranges with $2.34

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The all the possibilities and combination for the x - intercepts , of the roots of the polynomial with degree 4 are :  

0 x-intercepts and 4 imaginary roots   ,

4 distinct x-intercepts  ,  

1 x-intercept with multiplicity 4  and

2 distinct x-intercepts each with multiplicity 2   .

In the question ,

it is given that ,

there is polynomial of degree 4 ,

and some statements about the roots of the polynomial is given ,

we have to find the suitable options that are for the roots .

We know that the fourth degree polynomial will have theoretically four roots .

So , the possible situations for the roots are

it can have ,

0 x intercepts and 4 imaginary roots ( where imaginary roots must occur in pairs )   OR

it can have 4 distinct x intercepts .    OR

1 x intercept that have multiplicity 4 ,     OR

2 distinct x intercepts that have multiplicity 2 .

Therefore  , the possibilities options are (b) , (d) , (e) and (h) .

The given question is incomplete , the complete question is

Below are several options for the roots of a polynomial with degree 4. Consider all possibilities and combinations for the x- intercepts .

(a) 2 distinct x-intercepts of which one has a multiplicity of 3 ,

(b) 0 x-intercepts and 4 imaginary roots

(c) 3 distinct x-intercepts of which one has a multiplicity of 2

(d) 4 distinct x-intercepts

(e) 1 x-intercept with multiplicity 4

(f) 1 x-intercept with 3 imaginary roots

(g) 3 distinct x-intercepts and 1 imaginary root

(h) 2 distinct x-intercepts each with multiplicity 2

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The statements that are True about the Correlations is , "Correlations are a measure used to determine the degree to which two variables are related" , the correct option is (c) .

In the question,

few statements about Correlation is given ,

we need to find the statement that is True .

we know that , Correlation is the term that is used to measure the degree of relationship between two variable ,

the correlation can be negative , positive or 0 ,

and the negative correlation implies that if one variable increases then other variable decreases and vice a versa .

So , from the above information about Correlation ,

we conclude that , the True statement is "Correlations are a measure used to determine the degree to which two variables are related. "

Therefore , the statement in option (c) is True  .

The given question is incomplete , the complete question is

Select the statement below that is true about correlations.

(a) Correlations can only be negative

(b) Correlations are a measure of how much one variable changes as the other variable changes

(c) Correlations are a measure used to determine the degree to which two variables are related.

(d) Correlations are a measure of causation between two variables

(e) A negative correlation implies no relationship between variables

(f) Correlations can only be positive .

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Answer:9/10

Step-by-step explanation:

make 3/4 equal to 3/20 by multiplying by 5

15/20 + 3/20 = 18/20

18/20 = 9/10

The half-life of vanadium-48 is 16 days.

What is half life?

The half-life formula is used to determine the half-life of a material whose quantity is degrading or decreasing. When a substance degrades, the rate of decay varies depending on the quantity present. It is exceedingly challenging to determine the life of a decaying substance since when the quantity of the chemical decreases, the pace of decay likewise slows down. In order to offer the appropriate metrics to quantify the life of decomposing material, the half-life formula is applied.

According to law of radio active decay, IN=N

N-- amount of sample present

N1--- initial amount of sample

Decay 0 constant

Half life = 16 days

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Answers:

Domain = {12, 10, 8, 6}

Range = {1, 3, 5, 7}

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

Explanation:

The domain is the set of allowed x inputs. Simply list the x coordinates of each point.

The range will have us list the y coordinates of each point. This shows the list of possible outputs.

Use curly braces for the domain and range because each is a set of values.

Optionally you can sort the values. I decided not to sort them to keep the same order of coordinates mentioned from left to right.

{12,10,8,6} sorts to {6,8,10,12}

If there were any duplicate items, in either domain or range, then you would erase them. Simply list each unique item once.

-------------------

Extra info:

Answer:

2^2

Step-by-step explanation:

(2^7)/(2^5) = 2^(7 - 5) = 2^2

The roots of the quadratic equation are x = (3±2i)/2

The meaning of quadratic formula is a formula that gives the solutions of the general quadratic equation ax² + bx + c = 0

Given a quadratic equation, 4x²+13 = 12x

4x²-12x + 13 = 0

Quadratic formula =

x = [-b ± (√b²-4ac)]/2a

a = 4, b = -12 and c = 13

x = [12 ± (√(-12)² - 4*4*13)]/2*4

x = (12 ± 8i)/8

x = (3 ± 2i)/2

Hence, The roots of the quadratic equation are x = (3±2i)/2

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The proportion of the variation in the dependent variable y that is explained by the estimated regression equation is measured by the coefficient of determination.

What is coefficient of determination?

The effectiveness of a statistical model in forecasting a result is shown by the coefficient of determination (R²). The dependent variable in the model is a representation of the result.

R² can have a value of 0 or 1, with 1 being the maximum achievable. Simply said, a model's R² will be closer to 1 the more accurate its predictions are.

R² is a more precise measure of goodness of fit. The amount of volatility in the dependent variable that the model can account for.

You can typically tell whether your linear regression data's R² is high or low by graphing it. The graphs below, for instance, display two sets of simulated data:

Dots represent the observations.

The line of best fit, or predictions of the model, is displayed as a black line.

Purple lines represent the deviations (the residuals) between the data and their expected values.

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The correct option is [tex]6x^2+3x[/tex] which is the area of triangle. It can be obtained by the formula of area of triangle and algebriac multiplication.

What is the are formula of area of a triangle?

Area of any shape is the measure of the 2 dimentional space occupied by that shape. Its SI unit is [tex]m^2[/tex].  Area of the triangle is given by the following formula:

[tex]A=\frac{1}{2}bh[/tex]

Here, A is the area, b is the base, and h is the height.

Substitute 4x+2 for b and 3x for h in the above equation.

[tex]A=\frac{1}{2}(4x+2)(3x)[/tex]

Now, multiply using algebriac multiplication as follows:

Initially, use distributive property as follows:

[tex]A=\frac{1}{2}[(4x)(3x)+(2)(3x)][/tex]

Now, multipliy and again open brackets as follows

[tex]A=\frac{1}{2}(12x^2+6x)\\=6x^2+3x[/tex]

This gives the area of the triangle is [tex]6x^2+3x[/tex]. Hence, the correct option is the last option.

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Answer:

d

Step-by-step explanation:

There may be an association, but not a correlation unless the variables are quantitative. There could be a correlation between the average number of hours of TV watched per person and number of crimes committed per year. Even if there is a relationship, one does not cause the other.

Correlation is a statistical measure that expresses the extent to which two variables are linearly related (meaning they change together at a constant rate).

What are qualitative and quantitative variables?

The variables are classified as qualitative or quantitative as follows:

Qualitative variables assume labels as values.

Quantitative variables assume numbers as values.

The relevance of the variables according to association and correlation are given as follows:

Qualitative variables can have association.

Quantitative variables can have correlation.

The variables in this problem are given as follows:

Television watching -> yes/no -> qualitative.

Crimes committed -> yes/no -> qualitative.

As they are qualitative variables, they can have association, and thus there is no correlation between the two variables

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The trigonometric function simplified as a single expression is cosec² t .

The given trigonometric function is  : [tex]\frac{sin^2t+cos^2t}{sin^2t}[/tex]

We know from trigonometric identity : that sin²t +cos²t = 1

hence the given expression simplifies to 1 / sin²t

Again trigonometric ratios states that :

1 / sin t =  cosec t

∴ 1 / sin²t = cosec² t

Hence the trigonometric function is of the form cosec² t .

The right-angled triangle's angle and the ratios of its two side lengths are connected by the trigonometric functions, which are actual functions. They are also referred to as goniometric functions, circular functions, and angle functions .

The three trigonometric functions that are used in modern mathematics the most commonly are sine, cosine, and tangent. The less frequent cotangent, cosecant, and secant are their reciprocals.

Disclaimer: The complete question is :

simplify sin² ( t ) + cos ² ( t ) / sin ² ( t ) to an expression involving a single trig function with no fractions.

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Answer: (0, -3)

Step-by-step explanation:

You start from the x axis which is zero and then u go to the y axis and look for -3

The percent that is student's estimate off are, 40%.

What is percent?

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.", "pct.", and occasionally "pc" are also used to indicate it, while the percent symbol, "%," is most frequently employed. A % has no dimensions and no standard measurement.

Given:

A student has a container with a volume of 1. 5 liters.

She estimates the volume to be 0. 9 liters.

The student is off by

1.5 - 0.9 = 0.6

Now, the percent that is student's estimate off are,

(0.6 / 1.5) x 100 = 40%

Hence, by 40% is the student's estimate off.

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