8. What's the sum of 3/8 and 1/16
А. 1/6
В. 4/24
С.7/16
D. 1/4

Answer:

C

there are 10 spaces in between 2 and 3, so you just count up to it

The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

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Answer:333

Step-by-step explanation:53533535

Answer:

1) 13

2) 29

3) 61

4) 151

Step-by-step explanation:

1:

Vertical angles are congruent.  Angle A is equal to Angle C

3x - 10 = 29  Add 10 to both sides

3x - 10 + 10 = 29 + 10

3X = 39  Divide both sides by 3

x = 13

2:

29
Vertical angles have the same measurement.

3:

A straight angle (straight line) is 180. The square in the angle means that angle measures 90.

180 - 90 - 29 = 61

4:

180 - 29 = 151

Helping in the name of Jesus.

Answer:

Dividend: Number on top

Divisor: Number on bottom

Quotient: Answer

Dividend ÷ Divisor = Quotient

Answer:

Step-by-step explanation:

Answer:

D. 121 square units

Step-by-step explanation:

pls, tell me if wrong have a good day/night<3

Answer:

763.41 ft

Step-by-step explanation:

The equation of the possible way to begin solving for x is 2/5x - 7/20x = 3/4 - 1/2

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

-3/4 + 2/5x = 7/20x -1/2

The first step is to collect the like terms

So, we have

2/5x - 7/20x = 3/4 - 1/2

This represents an equation of the possible way to begin solving for x

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Answer:

x = 58.03°

Step-by-step explanation:

Given:

Solve for x:

1. \(x=cos^{-1}(\frac{9}{17})=58.03\)

Answer:

So, the measure of angle x is equal to 58.03.

Answer:

Answer:

x = 12

Step-by-step explanation:

m∠S + m∠T = 180

8x + 7x = 180

15x = 180

x = 12

does this help?

Question 1.

Given the point:

(-3, -4)

Slope, m = - 1/2

Let's write the equation of the line that passes through the given point with the slope in point-slope form and slope intercept form.

• Point slope form:

Apply the point-slope equation:

Now substitute -1/2 for m, then input (-3, -4) for x1 and y1 in the equation above.

Therefore, the equation in point slope form is:

• SLope intercept form:

Apply the slope intercept form of a linear equation:

Where m is the slope and b is the y-intercept.

Substitute the following:

-1/2 for m

(-3, -4) for (x, y)

Then solve for b.

Subtract 3/2 from both sides:

Therefore, the slope intercept form of the line is:

ANSWER:

Point-slope form:

Slope intercept form:

Answer:

24 degrees

Step-by-step explanation:

6x = x+120 (vertically opposite angles)

6x-x=120

5x=120

x=120/5

= 24

Answer:

Step-by-step explanation:

We can use the method of undetermined coefficients to solve this differential equation. First, we will need to find the solution to the homogeneous equation and the particular solution to the non-homogeneous equation.

For the homogeneous equation, we will use the form y"+ky=0, where k is a constant. We can find the solutions to this equation by letting y=e^mx,

y"=m^2e^mx -> (m^2)e^mx+k*e^mx=0, therefore (m^2+k)e^mx=0

(m^2+k) should equal 0 for the equation to have a non-trivial solution. Therefore, m=±i√(k), and the general solution to the homogenous equation is y=A*e^i√(k)x+Be^-i√(k)*x.

Now, we need to find the particular solution to the non-homogeneous equation. We can use the method of undetermined coefficients to find the particular solution. We will let yp=a0+a1x+a2x^2+.... As the derivative of a sum of functions is the sum of the derivatives, we get

yp″=a1+2a2x....yp‴=2a2+3a3x+....

Substituting the general solution into the non-homogeneous equation, we get

a0+a1x+a2x^2+...+2a2x+3a3x^2+...=Y(4)

So, the coefficient of each term in the expansion of the left hand side should equal the coefficient of each term in the expansion of the right hand side. Since there is only one term on the right hand side, we get the recurrence relation:

a(n+1)=Y(n-2)/n^2

From this relation, we can find all the coefficients in the expansion for the particular solution. Using this particular solution, we can find the total solution to the differential equation as the sum of the homogeneous solution and the particular solution.

According to the given problem, the linear regression line for the given data is y = -0.65 + 0.26x

What is linear regression?

Linear regression is a statistical method used to find the relationship between a dependent variable (y) and one or more independent variables (x). It assumes that there is a linear relationship between the variables, meaning that changes in the independent variable(s) are associated with proportional changes in the dependent variable.

The linear regression model can be represented as a straight-line equation:

y = b0 + b1*x + e

The equation of a linear regression line can be written as:

y = b0 + b1*x

where y is the dependent variable (car sales in this case), x is the independent variable (number of TV commercials), b0 is the intercept, and b1 is the slope of the line.

To find the values of b0 and b1, we need to calculate the following:

n = number of data points = 4

Σx = sum of x values = 54

Σy = sum of y values = 28

Σxy = sum of (x*y) values = 164

Σx^2 = sum of (x^2) values = 689

Using these values, we can calculate b1:

b1 = (nΣxy - ΣxΣy) / (n*Σx^2 - Σx^2)

b1 = (4164 - 5428) / (4*689 - 54^2)

b1 = 0.26 (rounded to two decimal places)

Next, we can use b1 to calculate b0:

b0 = (Σy - b1*Σx) / n

b0 = (28 - 0.26*54) / 4

b0 = -0.65 (rounded to two decimal places)

Therefore, the linear regression line for the given data is:

y = -0.65 + 0.26x

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Answer:

\(\Huge \boxed{\boxed{ x = 1}}\)

Step-by-step explanation:

Isolate the variable on one side of the equation before trying to solve it. It means that you should only have constants (numbers) on the other side of the equal sign and the variable alone on the one side.

To do this, you can add, subtract, multiply, divide, or use any other operation to both sides of the equation as long as you do the same thing on both sides.

Your final step depends on the equation and how you've simplified it. In general, you want to figure out how you arrived at the final equation by working backwards from it. You'll isolate the variable in the last action you took.

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

Step1: Subtract \(\bold{2x}\) from both sides

Step 2: Subtract 3 from both sides

Step 3: Divide both sides of the equation by 6

So the solution to the equation \(\bold{8x + 3 = 2x + 9}\) is \(\bold{x = 1}\).

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The graph of the translated function is g ( x ) = ( x + 5 )² + 2

Given data ,

Let the parent function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = x²

On simplifying , we get

The function is translated 5 units to the horizontal left direction:

And , when the function is translated 2 units in the vertical upward direction:

So , the translated function is

g ( x ) = ( x + 5 )² + 2

Now , the vertex of the function g ( x ) = ( x + 5 )² + 2 is (-5, 2)

Hence , the graph of the function is plotted and g ( x ) = ( x + 5 )² + 2

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Answer:

It is multiplied by a factor of 8

Step-by-step explanation:

Every month, the number of people who receive the email is multiplied by a factor of 8.

Let b is the base and x is the power of the exponent function and a is the leading coefficient. The exponent is given as

y = a(b)ˣ

Venera sent a chain letter to her friends, asking them to forward the letter to more friends.

The relationship between the elapsed time t, in months, since Venera sent the letter, and the number of people, P(t), who receive the email is modeled by the following function:

\(\rm P(t) = 2^{3t+7}\)

Every month, the number of people who receive the email is multiplied by a factor will be

For t = 2, we have

P(2) = 2³⁽²⁾⁺⁷

P(2) = 2¹³

For t = 3, we have

P(3) = 2³⁽³⁾⁺⁷

P(3) = 2¹⁶

Then the factor will be

⇒ P(3) / P(2)

⇒ 2¹⁶ / 2¹³

⇒ 2³

⇒ 8

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The amount the customers pay is an illustration of a piecewise functions

The equations of the piecewise functions are: \(y = \left[\begin{array}{cc}5x&0 < x \le 5\\4x&x > 5\end{array}\right\)

For the first function, we have the following points.

(x,y) = (0,0) and (4,20) for 0 < x <= 5

Since the line passes through the origin, the equation of the line would be:

\(y = \frac{y_1}{x_1} * x\)

So, we have:

\(y = \frac{20}{4} * x\)

\(y = 5x\)   0 < x <= 5

For the second function, we have the following points

(x,y) = (8,32) and (9,36) for x > 5

The equation of the line would be:

\(y = \frac{y_1-y_2}{x_1-x_2} * (x - x_1) + y_1\)

So, we have:

\(y = \frac{36-32}{9-8} * (x - 8) + 32\)

\(y = 4(x - 8) + 32\)

\(y = 4x - 32 + 32\)

\(y = 4x\)    x > 5

Hence, the equations of the piecewise functions are:

\(y = \left[\begin{array}{cc}5x&0 < x \le 5\\4x&x > 5\end{array}\right\)

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The measure of angle ACB is half the difference between 180 degrees and the measure of arc AB.

The measure of angle ACB can be determined using the properties of tangents and secants intersecting a circle.

Since side AC is tangent to the circle, angle BAC is a right angle (90 degrees).

According to the tangent-secant theorem, the measure of angle ACB is equal to half the difference between the intercepted arcs AB and AX.

Since angle BAC is a right angle, the intercepted arc AX is a semicircle, which means its measure is 180 degrees. The intercepted arc AB is an arc of the circle and is less than 180 degrees since it is not a full circle.

Therefore, the measure of angle ACB is half the difference between 180 degrees and the measure of arc AB.

To find the exact measure, more information is needed about the length of arc AB or the relationship between the lengths of the sides of the triangle. Without this additional information, we cannot determine the precise measure of angle ACB.

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\(\qquad\qquad\huge\underline{{\sf Answer}}\)

Let's solve ~

First we have to calculate g (-5) :

\(\qquad \tt \dashrightarrow \:x - 8\)

\(\qquad \tt \dashrightarrow \: - 5 - 8\)

\(\qquad \tt \dashrightarrow \: - 13\)

Now, let's find f (g (-5)) :

\(\qquad \tt \dashrightarrow \: {x}^{2} + 6x\)

\(\qquad \tt \dashrightarrow \:( - 13) {}^{2} + (6 \times - 13)\)

\(\qquad \tt \dashrightarrow \:169 + ( - 78)\)

\(\qquad \tt \dashrightarrow \:169 - 78\)

\(\qquad \tt \dashrightarrow \:91\)

Answer:

A. The coefficients of the sum are whole numbers and the sum is a polynomial.

Step-by-step explanation:

The approach to demonstrate the closure property for the sum consists in defining what a polynomial is and demonstrate that the sum of two polynomials with integer coefficients is equal to a polynomial with integer coefficients. We proceed to show the proof below:

1) \(5\cdot m -3\), \(2\cdot m + 4\) Given

2) \((5\cdot m -3)+(2\cdot m +4)\) Definition of addition

3) \((5\cdot m +2\cdot m ) +[(-3)+4]\) Definition of substraction/Associative and Commutative properties

4) \((5+2)\cdot m +1\) Distributive property/Definition of substraction

5) \(7\cdot m +1\) Definition of addition/Result

Hence, the coefficients of the sum are whole numbers and the sum is a polynomial. The correct answer is A.

Answer:

wouldn't it be 5 inches. Not 100% sure

Step-by-step explanation: Well to begin, you take 15$ and multiply it by 4, since he wants to buy 4 of those tickets, which is 60$. Then, take the 10$ and multiply it by 2 since he wants 2 of those tickets, which is 20$, you then apply 10% to 60 and 20 by taking 10 percent of 60, then adding  it to 60 once have that, which is 66, you take the 3% and find 3% of 66, then add the answer of that to 66, which is 67.98$, you then do the same thing to the 20$.

Sorry if this didnt help, im sure it didnt because im a very bad explainer, but i tried..

Answer:

Below

Step-by-step explanation:

Slope = rise / run = change in y / change in x  = -30 / 6 = -5

Answer: -5

Step-by-step explanation:

Start with the slope formula

m = (y2 - y1) / (x2 - x1)

Substitute point values in the formula

m = (20 - 50) / (-4 - -10)

Simplify the fraction

m = (20 - 50) / (-4 - -10) = -30 / 6

Solve for slope (m)

m = -5

Answer:

b=60

Step-by-step explanation:

Add 8 to both sides to receive the equation of 20=b/3

Multiply all sides by 3 to get 60 as b

Answer:

Firstly we need to find the gradient of give two points as follows;

M= y

Answer:

Answer: y = -x - 1

Step-by-step explanation:

- Consider a straight line passing through (x, y) from the origin (0, 0). That line with a positive gradient of m and meets at a point (0, c) [y-intercept]

- It has a general equation as below;

\({ \rm{y = mx + c}} \\ \)

- So, consider the line given in our question; Let's find its slope m first;

\({ \rm{slope = \frac{y _{2} - y _{1} }{x _{2} - x _{1} } }} \\ \)

- From the points given in the question, (-7, 6) and (3, -4)

\({ \rm{m = \frac{ - 4 - 6}{3 - ( - 7)} }} \\ \\ { \rm{m = \frac{ - 10}{10} }} \\ \\ { \underline{ \rm{ \: m = - 1 \: }}}\)

- Therefore, our equation so far is y = -x + c. Our line has a negative slope that means it slants from top to bottom, its origin is its y-intercept

- Consider point (3, -4);

\({ \rm{y = - x + c}} \\ { \rm{ - 4 = - 3 + c}} \\ { \rm{c = - 1}}\)

- y-intercept is -1

hence equation is y = -x - 1

\({ \boxed{ \delta}}{ \underline{ \mathfrak{ \: \: beicker}}}\)

Answer: 13.5

Step-by-step explanation: You would plug 3 in for x. The expression would then be 3(4.5). This is equivalent to 13.5 when simplified.

The expression of the given statement is 2y - 3  = -1

Expressions are mathematical statements that comprise either numbers, variables, or both and at least two terms associated by an operator. The operations of mathematics include multiplication, division, addition, and subtraction.

A phrase is considered a mathematical expression if it contains at least two numbers or variables and one or more mathematical operations. Let's look at how expressions are written.

The expression of the given statement is 2y - 3  = 4.

Here, let the unknown number = y

Now, product of y and 2 =  2 times  y   =   2y

Also, three less than the product   =  Product - 3

So, three less than the product  of 3 and y =  2 y - 3

Now, this above expression is equivalent to -1.

⇒2 y - 3  = -1

Hence the expression of the given statement is 2y - 3  = -1

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The sentence "Three less than the product of 2 and a number is 4" can be translated into the equation: 2x - 3 = 4

A mathematical statement that demonstrates the equivalence of two expressions is known as an equation.

It has two sides that are divided by the equals sign (=).

Variables, constants, coefficients, operators, and functions can all be used in the expressions on either side of the equation.

Here, x represents the unknown number that we are trying to solve for. The expression "the product of 2 and a number" is represented by 2x, and "three less than" is represented by the subtraction of 3 from that product. This expression is set equal to 4, which is the result given in the original sentence.

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Answer:

Tallahassee's Range: 6

Key West's Range: 4

Step-by-step explanation:

To calculate range, you'd subtract the lowest value from the highest value

Tallahassee:

Highest Value: 90

Lowest Value: 84

Range: 90 - 84 = 6

Key West:

Highest Value: 87

Lowest Value: 83

Range: 87 - 83 = 4