evaluate 3p+2q. when p=3 and
————
2
q=5

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:

  $42

Step-by-step explanation:

You want the price with tax of a $35 pair of shoes subject to a 20% tax.

The tax is the cost of the shoes multiplied by the tax rate. The final price is the sum of the cost of the shoes and the tax:

  final price = price + price × tax rate

  final price = price × (1 + tax rate) = $35 × 1.20 = $42

The final price of the shoes is $42.

Answer:

42$

Step-by-step explanation:

tax increase will be

20% of 35$

= 20/100 × 35

= 7$

Final price = Old price + Tax

= 35 + 7

= 42$

Step-by-step explanation:

what is your questions

Answer:

The answer would be 13.5 pints

Step-by-step explanation:

when you do 2 gallons - 2 pints you get 1.75 gallons

then when you do 1.75 - 1 cup you get 13.5 pints

5 million teenagers do not use the internet at school.

To know the number of adolescents who do not use the Internet at school, we must do the following operations:

According to the above, it can be inferred that the number of adolescents who use the Internet outside of school is 5 million.

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Answer:

35 units

Step-by-step explanation:

Perimeter of rectangle ABCD =2(L + W)

L = AD or BC (we only need to calculate one of the two)

W = AB or DC. (we only need to calculate one of the two).

Distance between A(-2, 6) and D(-8, -4):

\( AD = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)

Let,

\( A(-2, 6) = (x_1, y_1) \)

\( D(-8, -4) = (x_2, y_2) \)

\( AD = \sqrt{(-8 -(-2))^2 + (-4 - 6)^2} \)

\( AD = \sqrt{(-6)^2 + (-10)^2} \)

\( AD = \sqrt{36 + 100} = \sqrt{136} \)

\( AD = 11.7 \) (nearest tenth)

Distance between A(-2, 6) and B(3, 3):

\( AD = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)

Let,

\( A(-2, 6) = (x_1, y_1) \)

\( B(3, 3) = (x_2, y_2) \)

\( AB = \sqrt{(3 -(-2))^2 + (3 - 6)^2} \)

\( AB = \sqrt{(5)^2 + (-3)^2} \)

\( AB = \sqrt{25 + 9} = \sqrt{34} \)

\( AB = 5.8 \) (nearest tenth)

Perimeter of rectangle ABCD =2(AD + AB)

= 2(11.7 + 5.8)

= 2(17.5)

= 35 units

The expressions from least to greatest is (√3)² < 8² < 29².

How to compare expressions with indices?
Expressions with indices are of three types:
(1) when bases are equal and powers are different;
(2) when powers are equal but bases are different;
(3) when both powers and bases are unequal.
To solve an expression of type (1), we compare the powers for the given expressions only to determine the greater number efficiently, no heed needs to be given to the base.
To solve an expression of type (2), we compare the bases for the given expressions only to determine the greater number efficiently, no heed needs to be given to the powers.
To solve an expression of type (3), we reduce the power of an expression until it matches the other, so that for comparison only bases are to be taken into consideration without any heed to powers.

Given the expressions are 29², 3 and 64
The given expressions can be re-written as: 29², (√3)² and 8².
On comparing the expressions with the above literature, they match type (2), thus following the assertions we should compare the bases only to find the greatest number.
Thus, the correct order for expressions is: (√3)² < 8² < 29²

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Answer:

24 in long by 12 in wide.

Step-by-step explanation:

l=2w

288=(2w)×w

288=2w^2

144=w^2

12=w

width is 12 inches. Plug that in to find length...

l=2×12

l=24

Answer:no they are not

Step-by-step explanation:

As all angles are 60∘ each and given all sides are equal then it can be said as congruent.

Answer:

no

Step-by-step explanation:

Answer:

{(1, 0), (1, 1), (2,0), (2,1), (2, 2), (3,0), (3,1), (3,2), (3,3), (4, 0), (4,1), (4,2), (4,3), (4,4), (5,0), (5,1),(5,2), (5,3), (5,4), (5,5), (6,0), (6,1),(6,2), (6,3), (6,4), (6,5), (6,6)}

B.)

{(2,2), (3,2), (4,2), (4,4), (5,2), (5,4), (6,2), (6,4), (6,6)}

Step-by-step explanation:

Sample space :

Die roll, then number of coin tosses based on the outcome of the die roll, then number of heada from the toss(es) is recorded along with the outcome of the die roll.

{(1, 0), (1, 1), (2,0), (2,1), (2, 2), (3,0), (3,1), (3,2), (3,3), (4, 0), (4,1), (4,2), (4,3), (4,4), (5,0), (5,1),(5,2), (5,3), (5,4), (5,5), (6,0), (6,1),(6,2), (6,3), (6,4), (6,5), (6,6)}

Event that the total number of head is even:

{(2,2), (3,2), (4,2), (4,4), (5,2), (5,4), (6,2), (6,4), (6,6)}

Answer:

(-4) ^6

Step-by-step explanation:

(-4)*(-4)*(-4)*(-4)*(-4)*(-4)

There are six (-4)'s multiplied together

(-4) is the base and 6 is the exponent

(-4) ^6

If ur sayin <-1 over 22 then the number line should be like the picture I attached.

Answer:

x = 5

Step-by-step explanation:

The opposite sides of a parallelogram must be parallel to each other, and this is shown by the equivalent opposite interior angles on each side of the bisector.

Since the opposite sides of a parallelogram are parallel, they must be of equal length (this is one of the fundamental properties of a parallelogram).

Therefore, we can set (18x - 5) and (16x + 5) equal to each other in an equation and solve for x.

Subtract 16x from both sides.

Add 5 to both sides.

Divide both sides by 2.

The value of 5 for x must make ABCD a parallelogram.

If the archaeologist found a fossil whose length is 489.44 inches, using the conversion table, the length in feet, to the nearest tenth, is 40.8 feet.

The conversion table refers to the tabulated standard units of measurement, showing temperature, length, area, volume, weight, and metric conversions

For instance, the conversion table shows that 12 inches equal 1 foot.

The length of the fossil = 489.44 inches

12 inches = 1 foot

489.44 inches = 40.8 feet (489.44 ÷ 12)

Thus, using the conversion table, which relies on multiplication or division operations using the conversion factors, the length in feet of the fossil is 40.8 feet.

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Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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The domain of (boa)(x) is [1, ∞].

In Mathematics and Geometry, a domain is the set of all real numbers (x-values) for which a particular equation or function is defined.

Based on the information provided above, we have the following functions:

a(x) = 3x+1

\(b(x) = \sqrt{x-4}\)

Therefore, the composite function (boa)(x) is given by;

\(b(x) = \sqrt{3x+1 -4}\\\\b(x) = \sqrt{3x-3}\)

By critically observing the graph shown in the image attached below, we can logically deduce the following domain:

Domain = [1, ∞] or {x|x ≥ 1}.

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hello

the answer to the question is:

x³ - 3x² + 3x - 1 > (3/2)x(x - 1)² ---->

(x - 1)³ > (3/2)x(x - 1)² ----> x - 1 > (3/2)x ---->

(1/2)x < - 1 ----> x < 2

Answer:

-17/12

Step-by-step explanation:

║5/6 - 7/12║- ║5/3║

= ║10/12 - 7/12║ - ║5/3║

= ║3/12║- ║5/3║

= 3/12 - 5/3

= 3/12 - 20/12

= -17/12

The function 2x + 3x^2 represents the result of adding the two provided functions, f(x) and g(x).

An operation known as "function composition" takes two functions, f and g, and produces a new function, h, that is equal to both g and f and has the property that h(x) = g.

Given the f(x) = 2x and g(x) = 3x^2 functions

The sum of the two functions must be calculated as illustrated;

f(x) + g = (f+g)(x)

Put the provided functions in place of (f+g)(x) to have:

(f+g)(x) = 2x + 3x^2

Standard version of the expression is (f+g)(x) = 2x + 3x^2

Consequently, the sum of the functions f(x) and g(x) is2x + 3x^2

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Answer:

40

Step-by-step explanation:

\(8=2^3 \\ \\ 20=2^2 \times 5 \\ \\ \lcm(8,20)=2^3 \times 5=40\)

I think the answer is Pentagon

The equation rewritten as a function of x is

\(y \ln \left(-2 x+x^2+2 y \right)=\ln (x)\)

Generally, In the field of mathematics, an assignment of one element from set Y to each and every element in set X is the definition of a function. This particular set, X, is referred to as the function's domain, and this particular set, Y, is referred to as the function's codomain.

Historically, functions have been seen as an idealization of the way in which one variable relies on another variable. Wikipedia

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Answer:

100

Step-by-step explanation:

4 tens +  6 tens = 10 tens = 10*10 = 100

Answer:

\(y=4(4)^x\)

Step-by-step explanation:

Exponential functions are represented in the form \(y=a(b)^x\), where a is the initial value and b is the multiplier.

Here, we see that when x = 0, y = 4. This means that 4 is our initial value, or a. You can look at the a variable almost being like the y-intercept of a graph.

Next, we must solve for b. We can do 16 ÷ 4 to find the slope, or multiplier of this function, because 16 is 1 input x-value up from 0. 16 ÷ 4 = 4.

So, we now have all the needed variables, so we plug them into the formula

\(y=a(b)^x\)

We are given the following information concerning the three production machines;

Also, we are given the percentage of defective output as follows;

Therefore, if an item is selected randomly, the probability that the item is defective would be;

ANSWER:

The probability that the item is defective would be 0.0415

The bisector goes through photosynthesis causing the qordinates of the triangle to find the spectrum

Answer:third term=14 twelfth term=59

Step-by-step explanation:

first term=a=4

Common difference=d=5

Second term=4+5=9

Third term=9+5=14

Using Tn=a+d(n-1)

T12=4+5(12-1)

T12=4+5x11

T12=4+55

T12=59

Twelveth term=59

the solutions to the quadratic equation 1 = 2x^2 + 7x are:

\(x= \frac{(-7+\sqrt{51} )}{4}\) and \(x= \frac{(-7-\sqrt{51})}{4}\)

ToToToToToToToToToToToToToToToToToToToToToToToToToToToToToToToTo solve this quadratic equation by completing the square, we need to rewrite the equation in the form of (x + p)^2 + q = 0, where p and q are constants. This will allow us to solve for x.

First, we can factor out the coefficient of the x^2 term, which is 2:

\(2x^2 + 7x - 1 = 0\)

Next, we can isolate the x^2 and x terms on one side of the equation by subtracting 1 from both sides:

\(2x^2 + 7x = 1\)

Now, we need to add and subtract a constant term inside the parentheses to create a perfect square trinomial. To determine this constant term, we take half of the coefficient of the x term (which is 7/2) and square it:

\((\frac{7}{2} )^{2} = \frac{49}{4}\)

So we add and subtract 49/4 inside the parentheses:

\(2x^2 + 7x + \frac{49}{4} - \frac{49}{4} = 1\)

We can simplify the left side by factoring the perfect square trinomial:

\(2(x + \frac{7}{4} )^2 - \frac{51}{8} = 0\)

Now, we can solve for x by isolating the perfect square term and taking the square root of both sides:

\(2(x + \frac{7}{4} )^2 = \frac{51}{8}\)

\((x + \frac{7}{4} )^2 = \frac{51}{16}\)

\(x + \frac{7}{4}=±\sqrt{\frac{51}{16} }\)

\(x = -\frac{7}{4} ± \sqrt{\frac{51}{16} } /2\)

Simplifying this expression, we get:

\(x = (-7 ±\sqrt{51} )/4\)

Therefore, the solutions to the quadratic equation 1 = 2x^2 + 7x are:

\(x = (-7 + \sqrt{51} )/4 and x = (-7 -\sqrt{51} )/4.\)

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The input (x) that satisfies the condition of being multiplied by 6 and then Subtracted by 80 to give the same value as the output is 16.

The input as "x." According to the given information, the input (x) is multiplied by 6 and then subtracted by 80, resulting in the output. In mathematical terms, this can be expressed as:

Output = (6 * x) - 80

The problem states that the input and output are the same. Therefore, we can set up the equation:

x = (6 * x) - 80

To solve for x, we'll rearrange the equation and isolate the variable:

x - 6 * x = -80

Combine like terms:

-5 * x = -80

Divide both sides by -5:

x = (-80) / (-5)

Simplifying the division:

x = 16

Hence, the input (x) that satisfies the condition of being multiplied by 6 and then subtracted by 80 to give the same value as the output is 16.

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