If Tn =n^+2n. Find third term of the sequence

Answer:

m<v = m<w

Step-by-step explanation:

I do not know how to explain it. CD are parallel with those to lines. They ahve the same degree as the other two angles.

<y = <z are opposite angle.

<w + <x = 180 are suplementary angle which mean they add up to 180.

Step-by-step explanation:

some mistakes in the questions I hope correct it then send again .

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The number of cannonballs in illustration is 506.

Math Illustrations enables you to produce more useful geometry figures for your students in less time by fusing the constraint-based design of Geometry Expressions with simple-to-use sketching and graphing features.

The number of cannonballs in the first layer = 1² = 1

Number of cannonballs in the second layer = 2² = 4

Number of cannonballs in the third layer = 3² = 9

So, the generalized formula to count the balls is given as

= n(n + 1) (2n + 1)/ 6

Here, n= the total number of layers

Put n =11

11(11 + 1)(2(11) + 1) / 6

= 11(12)(23)/6

= 3036/6
= 506

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The dimensions of the rug would be 27 feet long and 19 feet wide with a 6 foot space around the carpet uniformly.

She wants to buy a rug for a room that is 25 ft wide and 33 ft long.

She wants  to leave a uniform strip of floor around the rug.

she can afford to buy 513 square feet of carpeting.

Cynthia room area = lw

where

Therefore,

Cynthia room area = 25 × 33

Cynthia room area = 825 ft²

She wants to leave a uniform strip of floor all around the rug and has affordability to buy 513 square feet of carpet.

Therefore, the dimension the rug should have is as follows:

(25 - 6) (33 - 6) = 513

19 × 27 = 513 ft²

Therefore, the dimensions of the rug would be 27 feet long and 19 feet wide with a 6 foot space around the carpet uniformly.

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The length of the field is greater than the width by the expression \((14x - 3x^2 + 2y) - (5x - 7x^2 + 7y).\)

1. The length of the field is represented by the expression \(14x - 3x^2 + 2y.\)

2. The width of the field is represented by the expression \(5x - 7x^2 + 7y\).

3. To find the difference between the length and width, we subtract the width from the length: (\(14x - 3x^2 + 2y) - (5x - 7x^2 + 7y\)).

4. Simplifying the expression, we remove the parentheses: \(14x - 3x^2 + 2y - 5x + 7x^2 - 7y.\)

5. Combining like terms, we group the \(x^2\) terms together and the x terms together: \(-3x^2 + 7x^2 + 14x - 5x + 2y - 7y.\)

6. Simplifying further, we add the coefficients of like terms:\((7x^2 - 3x^2) + (14x - 5x) + (2y - 7y).\)

7. The simplified expression becomes: \(4x^2 + 9x - 5y.\)

8. Therefore, the length of the field is greater than the width by the expression \(4x^2 + 9x - 5y.\)

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The expression that is equivalent to \(80^{(1/4}\) * x is \(80^{4/x}\)

To determine the equivalent expression to \(80^{1/4}\) * x, let's analyze each option:

\(80/4^{x}\)

This expression simplifies to \(20^{x}\), but it is not equivalent to the original expression.

Applying the power of a power rule, this expression simplifies to \(80^{x/4}\) , which is not equivalent to the original expression.

\(80/x^{4}\)

This expression can be simplified as \(80^{4 x^{4} }\) , which is not equivalent to the original expression.

Therefore, the expression that is option d.

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Answer:

1320 should be expected

Step-by-step explanation:

22 = 600

  x10

220 = 6,000

   x6

1320=36,000

Answer:

steps below

Step-by-step explanation:

(cosA-sinA+1) * cosA = cos²A - sinA cosA + cosA

                                 = (1 - sin²A) - sinA cosA + cosA + sinA - sinA

                                 = cosA + sinA + 1 - sinA cosA  -sin²A - sinA  ..Re-group

                                 = (cosA + sinA + 1) - sinA (cosA + sinA + 1)

                                 = (cosA + sinA + 1) * (1 - sinA)

(cosA-sinA+1) / (cosA + sinA + 1) = (1 - sinA) / cosA

a. By going to the library on a Friday night and asking 30 random students their weekly studying time, it may have d. no bias, causing the sample average to be b. just right.

b. Asking random people on the plaza how much they study, when some people do not respond because they are too busy, may have c. non-response bias, causing the sample average to be a. too low.

Non-response bias occurs when some respondents in the sample do not respond. The non-response bias is caused by respondents' refusal to participate.

c. When only the active top-performing students respond to the dean's survey, this may have b. self-selection bias, causing the sampling average to be c. too high.

Self-selection bias occurs when research participants choose whether or not to opt-in or out of the experiment. In addition, the group which participates (the active top-performing students) does not equate to the group that opts out, especially in terms of the research criteria.

a.1. You go to the library on a Friday night and ask 30 random students their weekly studying time. This may have

Options for a.1:

a. sampling,

b. self-selection,

c. non-response,

d. no bias,

a.2. causing the sample average to be [ Select ] .

Options a.2:

a. too low

b. just right

c. too high

b.1. You stand out on the plaza around lunch time and ask random people how much they study, and some people don't answer because they're too busy with their 18-credit load semester. This may have [ Select ],

Options b.1:

a. sampling

b. self-selection

c. non-response

b.2. causing the sample average to be [ Select ] .

Option b.2:

a. too low

b. just right

c. too high

c.1. The deans send a survey to all students asking them to estimate their weekly studying time and only the active top-performing students respond. This may have [ Select ] ,

Options c.1:

a. sampling

b. self-selection

c. non-response

c.2. causing the sample average to be [ Select ].

Option c.2:

a. too low

b. just right

c. too high

Thus, sampling average means the sample mean, which is a portion of the population.

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Part A: Fraction of all students who does not like Lakers = 3/8.

Part B: Fraction of all student who likes the Clippers = 9/32

Part C: Fraction of all student who does not likes the Clippers =  23/32.

Part D: Fraction of all student who does not likes either the Clippers or Lakers : 35/32

The components of a whole or group of items are represented by fractions. A fraction consists of two components. The numerator is the figure at the top of the line. It details the number of equal portions that were taken from the total or collection.

Given data:

Students who likes only Los Angeles Lakers = 5/8

Students who does not likes only Los Angeles Lakers: 1 - 5/8 = 3/8

From 3/8, only 3/4 like the Los Angeles Clippers.

= 3/8 * 3/4

= 9/32

Now,

Students who does not like the Los Angeles Clippers: 1 - 9/32 = 23/32.

Part A: Fraction of all students who does not like Lakers = 3/8

Part B: Fraction of all student who likes the Clippers = 9/32

Part C: Fraction of all student who does not likes the Clippers =  23/32.

Part D: Fraction of all student who does not likes either the Clippers or Lakers :

= 3/8 + 23/32

= 35/32

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The linear function through the points (-9,-9) and (-6,0) is given as follows:

y = 3x + 18.

The slope-intercept representation of a linear function is given by the equation shown as follows:

y = mx + b

The coefficients m and b have the meaning presented as follows:

Considering the two points, we have that when x increases by 3, y increases by 9, hence the slope m is given as follows:

m = 9/3.

m = 3.

Hence:

y = 3x + b.

When x = -6, y = 0, hence the intercept b is given as follows:

0 = 3(-6) + b

b = 18.

Hence the equation is:

y = 3x + 18.

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Answer:

Please check the explanation.

Step-by-step explanation:

Given that

\(m=-1\)

point = (2, 4) has the x-coordinate x=2, and y-coordinate y=4

Now, fill in the blanks:

y = __4__     ,      m = __-1__     ,    and     x = __2__

\(y=mx+b\)

_4_ = -1 (__2__)+b

_4_ = _-2_ + b

_6_ = b

The y-intercept is _6_.

The equation of the line is y = _-1_ x + _6_

Answer:

329,200

Step-by-step explanation:

Answer:

329,200

Step-by-step explanation:

Answer:

The answer to this equation would be -19

Hope this helps!

Answer:

-19

Step-by-step explanation:

The number of turns the wheel makes is 1.93 ≈ 2.

What is Turns?

This is referred to as a cycle. It is a unit of plane angle measurement that is equivalent to 2π radians, 360 degrees, or 400 gradians.

formular for calculating Turns:

Turns =         Lenght

              Circumference

Circumference of a circle, C= πD

Where,

Diameter=D

            π =22/7

Calculating Circumference;

C= 22  * 66

            7

    =207.4

From the question:

D= 66cm

L  =400m

Calculating Turns:

Turns =  Lenght

              Circumference

          =   400m

               207.4

      Turns =1.93

Turns =1.93≈ 2

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I really don't know but I guess 59

Rounding to the nearest million, the gross sales amount to $233 million.

Gross sales refer to the total amount of revenue generated from the sale of goods or services before any deductions or expenses are made. It is the total amount of money received from customers, before accounting for any discounts, returns, or other adjustments. Gross sales can also be referred to as total sales or revenue.

If net sales equal gross sales less returns, then we can write an equation:

net sales = gross sales - returns

where returns equal a certain percentage of gross sales.

$210 million = gross sales - 0.10 * gross sales

Expanding the right side of the equation:

$210 million = gross sales - 0.1 * gross sales

$210 million = (1 - 0.1) * gross sales

$210 million = 0.9 * gross sales

Dividing both sides by 0.9:

$210 million / 0.9 = 0.9 * gross sales / 0.9

$233.33 million = gross sales

Rounding to the nearest million, the gross sales amount to $233 million.

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Out of 69 students in the art class, around 23 are expected to fail the mathematics test, assuming the probability of passing given is 2/3.

To determine how many students are likely to fail mathematics in the art class, we need to use the given probability of passing the mathematics test, which is 2/3.

First, let's find the probability of failing the mathematics test. Since passing and failing are complementary events (i.e., if the probability of passing is p, then the probability of failing is 1 - p), we can calculate the probability of failing as 1 - 2/3, which simplifies to 1/3.

Now, let's consider the art class, which has a total of 69 students. If the probability of failing mathematics is 1/3, then approximately 1/3 of the students in the art class are likely to fail the mathematics test.

To find the number of students likely to fail, we multiply the probability of failing (1/3) by the total number of students in the art class (69).

(1/3) * 69 ≈ 23

Therefore, approximately 23 students are likely to fail mathematics in the art class of 69 students based on the given probability of passing the mathematics test.

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Answer: A

Step-by-step explanation:

Volume= LxWxH so we get 20x28x24 as given.

Volume= 13,440 which is the volume of the box given. ANd so if the box is 10,500cubic inches, we subtract to find the difference.

13,440-10,500= 2,940 Cubic Inches

Option A

Answer:

Part A:  13440 cubic inches.

Part B: A - 2940 cubic inches.

Step-by-step explanation:

The volume of the box = 24x20x28 = 13440 cubic inches.

The problem tells us that his gift is 10,500 cubic inches. So subtract that from the volume of the box.

13440-10500 = 2940 cubic inches. The answer is A.

Answer:

yes they are

Step-by-step explanation:

see nobody answers correctly:)

Answer:

B

Step-by-step explanation:

Answer:

39 pages

Step-by-step explanation:

If 13 pages are read in 1/3 of an hour, we need to multiply 13 by 3 to get the number of pages read in 1 hour. 13*3 = 39 pages

Answer:

Round both numbers to 1 significant figure.

400+400=800

800 is the answer.

Answer:

A because there isnt a mode, hope this helps\

Answer: 2/5

Step-by-step explanation:

Answer:

Following are the answer to this question:

Step-by-step explanation:

Given value:

\(\to x > 0\)

\(\to S= { n\varepsilon N : x^n \leq 0 } \\\\ s \neq \phi \\\\ \to x^n \leq 0\\\)

\(\to x^{n-1} x\leq 0\\\\ \to x>0 = x^{n-1} \leq 0 \\\\\to n-1 \varepsilon s \\ \ \ _{where} \ \ n-1 < n \\\\\to s= \phi \\\\\to \hence x^n > 0 \\\)

Answer:

(x+7)(x+12)

Step-by-step explanation:

Hope this helps and have a great day!!!!

Answer:

Slope = - 5

Step-by-step explanation:

Let,

x1 = 13

x2 = 14

y1 = 11

y2 = 6

Formula : -

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

Slope = ( 6 - 11 ) / ( 14 - 13 )

          = - 5 / 1

Slope = - 5

Answer:

\(\boxed{\sf slope:-5}\)

Step-by-step explanation:

Slope :

\(\boxed{\sf m=\cfrac{rise}{run} =\cfrac{y_2-y_1}{x_2-x_1}}\)

\(\sf ^*m=slope\)

\(\sf (x_1, y_1): first \: coordinates\)

\(\sf (x_2, y_2): second\: coordinates\)

___________________

\(\sf \left(x_1,\:y_1\right):\left(13,\:11\right)\)

\(\sf \left(x_2,\:y_2\right):\left(14,\:6\right)\)

\(\sf slope\:(m)=\cfrac{6-11}{14-13}\)

\(\sf slope\:(m)=-5\)

____________________

Answer:

16)  240.52 m²  (2 dp)

17)  73.06 ft²  (2 dp)

Step-by-step explanation:

To calculate the shaded area, subtract the area of the rectangle from the area of the circle.  (We know it's a rectangle since the opposite sides are equal in length - marked by dashes).

\(\begin{aligned}\textsf{Area of a rectangle}& =\sf width \times length\\\implies \sf A& = \sf 20 \times 21\\& = \sf 420\:\:m^2\end{aligned}\)

To find the area of the circle, first find the radius.

From inspection of the diagram, the diagonal of the rectangle is the diameter of the circle. Therefore, the radius is half the diagonal.

To find the length of the diagonal, use Pythagoras' Theorem:

\(\begin{aligned}\sf a^2+b^2 & = \sf c^2\\\implies 20^2+21^2 & = \sf c^2\\\sf c^2 & = 841\\\sf c & =\sqrt{841}\\\sf c & = 29\end{aligned}\)

Therefore:

\(\begin{aligned}\implies \sf radius & = \sf \dfrac{1}{2}c\\\\& = \sf \dfrac{1}{2}(29)\\\\& = \sf1 4.5\:m\end{aligned}\)

\(\begin{aligned}\textsf{Area of a circle} & = \sf \pi r^2\\\implies \sf A & = \sf \pi (14.5)^2\\& = \sf 210.25\pi \:\:m^2\end{aligned}\)

Finally:

\(\begin{aligned}\textsf{Shaded area} & = \textsf{area of circle}-\textsf{area of rectangle}\\& = \sf 210.25 \pi - 420\\& = \sf 240.52\:\:m^2\:(2\:d.p.)\end{aligned}\)

To calculate the shaded area, subtract the area of the square from the area of the circle.  (We know it's a square as the side lengths are equal - marked by one dash on each side length).

\(\begin{aligned}\textsf{Area of a circle} & = \sf \pi r^2\\\implies \sf A & = \sf \pi \left(\dfrac{16}{2}\right)^2\\& = \sf 64\pi \:\:ft^2\end{aligned}\)

To find the area of the square, first find the side length using Pythagoras' Theorem:

\(\begin{aligned}\sf a^2+b^2 & = \sf c^2\\\implies 2a^2 & = \sf 16^2\\\sf a^2 & = 128\\\sf a & =\sqrt{128}\\\sf a & = 8\sqrt{2}\:\:\sf ft\end{aligned}\)

\(\begin{aligned}\textsf{Area of a square} & = \sf a2\\\implies \sf A & = \sf (8\sqrt{2})^2\\& = \sf 128 \:\:ft^2\end{aligned}\)

Finally:

\(\begin{aligned}\textsf{Shaded area} & = \textsf{area of circle}-\textsf{area of square}\\& = \sf 64 \pi - 128\\& = \sf 73.06\:\:ft^2\:(2\:d.p.)\end{aligned}\)

The number that does not belong with the other three is D. 10 x 9.2 ⁻¹³

With the first three numbers, the base of the exponential that is being multiplied by the first number is 10. These numbers are:

With the last number however, we see that the base of the exponential is 9. 2 and not 10 like the others. This is why 10 x 9 . 2 ⁻¹³ does not belong with the rest.

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