Find the 13th term in the following
arithmetic sequence :
2, 5, 8, 11, .

Answer:

The lines help u see where they go

Step-by-step explanation:

Answer: (maybe not 100% correct  i d k)

Primary Sorce:

Anne Frank's Diary

Photo of a Migrant Worker

American Indian Treaty

Letter by George Washington

Not Primary Source:

1927 and 1992 Article About Babe Ruth

Movie About the Civil War

History Textbook

Fiction Set in 1780s

Blog About Black Holes

Answer:

(x, y) --> (x - 1, y - 4)

Step-by-step explanation:

I already answered this, the x coordinate goes one to the left and the y coordinate goes down by 4.

Answer:

\(\displaystyle \frac{d}{dx} = \frac{sin^2x + 1}{2cos^3x}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Pre-Calculus

Calculus

Derivatives

Derivative Notation

Derivative Property [Multiplied Constant]:                                                           \(\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)\)

Derivative Rule [Quotient Rule]:                                                                           \(\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}\)

Trig Derivative:                                                                                                       \(\displaystyle \frac{d}{dx}[tanu] = u'sec^2u\)

Trig Derivative:                                                                                                      

\(\displaystyle \frac{d}{dx}[cosu] = -u'sinu\)

Step-by-step explanation:

Step 1: Define

\(\displaystyle y = \frac{tanx}{2cosx}\)

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Derivatives

Book: College Calculus 10e

Answer:

i believe it would be likely

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

Area of the square base = (6 ft) × (6 ft) = 36 ft²

Area of each triangular face = 1/2 × (6 ft) × (5 ft) = 15 ft²

Then the surface area of the pyramid is

36 ft² + 4 × (15 ft²) = 96 ft²

Answer:

3x² - 4x - 5

Step-by-step explanation:

Definitions:

Long Division Method of dividing polynomials:

Given:

Rearrange the dividend in descending order of the exponents:

6x³ - 17x² + 2x  + 15

Now use the method of long division to divide (6x³ - 17x² + 2x  + 15) by (2x - 3):

\(\large \begin{array}{r}3x^2-4x-5\phantom{)}\\2x-3{\overline{\smash{\big)}\,6x^3-17x^2+2x+15\phantom{)}}}\\{-~\phantom{(}\underline{(6x^3-9x^2)\phantom{-b)))))))).)}}\\-8x^2+2x+15\phantom{)}\\-~\phantom{()}\underline{(-8x^2+12x)\phantom{)))..}}\\-10x+15\phantom{)}\\-~\phantom{()}\underline{(-10x+15)\phantom{}}\\0\phantom{)}\\\end{array}\)

Therefore, the quotient is:

\(\boxed{\boxed{3x^2-4x-5}}\)

Answer:

50 in²

Step-by-step explanation:

The area of the rectangle = 8 × 4 = 32 in²

area of Δ NPO = \(\frac{1}{2}\) × PO × PN = \(\frac{1}{2}\) × 3 × 4 = 6 in² ( PN = RM )

area of Δ PQR = \(\frac{1}{2}\) × RP × 3 = \(\frac{1}{2}\) × 8 × 3 = 12 in² ( RP = MN )

area of MNOPQR = 32 + 6 + 12 = 50 in²

The two angles are related in that they are supplementary angles

Supplementary angles would add tuo to 180 degrees according to the angle Theorem.

Adding the two given angles :

These angles are supplementary

The angles aren't vertical in that , vertical angles should have the same vertex. Complementary angles on the other hand add to 90 degrees. While the angles doesn't share the same side, hence, they aren't adjacent.

Hence, the angles are related as they are supplementary angles .

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Answer:

\(\dfrac{17}{13}\)

Step-by-step explanation:

Given that,

r(x) = 3x - 1 and s(x) =  2x + 1

We need to find an expression equivalent to \(\dfrac{r}{s}(6)\).

We know that,

\(\dfrac{r}{s}(6)=\dfrac{r(6)}{s(6)}\)

Put x = 6 in the above expression

\(=\dfrac{3(6)-1}{2(6)+1}\\\\=\dfrac{18-1}{12+1}\\\\=\dfrac{17}{13}\)

So, the equivalent expression is equal to \(\dfrac{17}{13}\).

Using Cramer's rule for first-order condition:

Using Hessian for the second-order condition, critical point (x₁, x₂, x₃) = (-149/444, -69/222, 139/444) is the unique minimum of y.

(a) Using Cramer's rule for the first-order condition:

To optimize the function y, find the critical points where the gradient is equal to zero. The gradient of y is given by:

∇y = [6x₁ - x₂ - 3x₃ - 5, -x₁ + 12x₂ + 2x₃ - 4, 2x₂ + 8x₃ + 2 - 3x₁]

Setting the gradient equal to zero:

6x₁ - x₂ - 3x₃ - 5 = 0 (1)

-x₁ + 12x₂ + 2x₃ - 4 = 0 (2)

2x₂ + 8x₃ + 2 - 3x₁ = 0 (3)

Using Cramer's rule to solve this system of linear equations, the determinant of the coefficient matrix is:

|A| =

| 6 -1 -3 |

|-1 12 2 |

|-3 2 -3|

|A| = 444

The determinant of the matrix obtained by replacing the first column of A with the constants on the right-hand side of the equations is:

|A₁| =

| 5 -1 -3 |

| 0 12 2 |

| 0 2 -3|

|A₁| = -149

The determinant of the matrix obtained by replacing the second column of A with the constants is:

|A₂| =

| 6 5 -3 |

|-1 0 2 |

|-3 0 -3|

|A₂| = -138

The determinant of the matrix obtained by replacing the third column of A with the constants is:

|A₃| =

| 6 -1 5 |

|-1 12 0 |

|-3 2 2|

|A₃| = -278

Therefore, using Cramer's rule:

x₁ = |A₁|/|A| = -149/444

x₂ = |A₂|/|A| = -69/222

x₃ = |A₃|/|A| = 139/444

(b) Using the Hessian for the second-order condition:

To check whether the critical point found in part (a) is a maximum, minimum or saddle point, we need to use the Hessian matrix evaluated at the critical point. The Hessian of y is given by:

(y) =

| 6 0 -3 |

| 0 12 2 |

|-3 2 8 |

Evaluating H(y) at the critical point (x₁, x₂, x₃) = (-149/444, -69/222, 139/444):

H(y) =

| 6 0 -3 |

| 0 12 2 |

|-3 2 8 |

The eigenvalues of H(y) are 2, 6, and 18, which are all positive. Therefore, H(y) is positive definite, and the critical point is a minimum.

Therefore, the critical point (x₁, x₂, x₃) = (-149/444, -69/222, 139/444) is the unique minimum of y.

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Given line A has a slope of m = -2/5, the slope of a line parallel to line A is m = -2/5

The slope of a line y = mx + c where

Is given by m = Δy/Δx where

Given a line y = mx + c where  

Also, given another line y' = m'x + c' where  

If y is parallel to y' then their slopes are equal. That is m = m'

Given that line A has a slope of m = -2/5, then by the condition above, the slope of a line paralllel to line A must also equal m.

So, the slope of a line parallel to line A is m = -2/5

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Answer:

Step-by-step explanation:

Complementary angles are those whose sum is =90°

so

A)  no

B)yes 

C)no

D)no

The parameter estimate's t-statistic calculates the discrepancy between the estimate and the actual parameter. If the absolute value is high, the true parameter is probably very different from the estimate.

The parameter estimate's t-statistic calculates the discrepancy between the estimate and the actual parameter. It is derived by multiplying the discrepancy between the two by the estimate's standard error. The true parameter is probably far from the estimate, according to a large absolute value of the t-statistic. As a result, one cannot have confidence in the estimate because it is not a trustworthy representation of the real parameter. This is because a significant t-statistic indicates that the estimate is likely to be inaccurately estimating the true parameter and is either too high or too low. As a result, it is obvious that the true parameter is unlikely to be represented by the estimate when the t-statistic for a parameter estimate has a high absolute value.

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The complete question is

when the t-statistic for a parameter estimate is large in absolute value, you can be confident that the true parameter is not .How do you interpret a large t-statistic in a parameter estimate?

If you look at (almost) every prime number, every prime number is odd except 2, so the answer is false.

You can check this by looking at the prime numbers between 1-100.

The domain will be x ≥ 3 for f(x)=√x-3 and g(x)=1-x².

In case a function f gives a way to effectively create a single value y utilizing for that reason a value for x at that point that chosen x-value is said to have a place to the domain of f. there are some conditions to be checked such as denominators cannot equal 0, radicands of even roots can't have a negative value, logarithms can as it was being taken of positive values. Since we are given that f\(\sqrt{x-3}\) and g(x)=1-x², for g(x)  since it's a polynomial function its domain had to be real numbers, whereas for f(x) is all positive and real numbers.

for the given  condition (f•g)(x)

=> (f•g)(x)= f(x)*g(x)

=> (f•g)(x) = √(x-3) * (1 - x²)

=>(f•g)(x) = √(x-3)-x²(√x-3)

So the domain for (f•g)(x) will be all positive real numbers x≥3 x ∈ [3,∞)

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Answer:

9 6/7

This is the answer

Answer:

Table 3 → 5 (5× 14=70)

\(w^2 - 6w + 4\) is a polynomial that represents how much more profit is earned by selling w apple trees than w pear trees.

The profit earned by selling w pear trees is 2w + 10

To find the difference in profit, we need to subtract the profit earned by selling w pear trees from the profit earned by selling w apple trees:

\((w^2 - 4w + 14) - (2w + 10)\)

Simplifying the expression:

\(w^2 - 6w + 4\)

Therefore, the polynomial that represents how much more profit is earned by selling w apple trees than w pear trees is \(w^2 - 6w + 4\).

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Answer:

x = 4

Step-by-step explanation:

6x + 8 = 32

6x = 32 ‐ 8

6x = 24

x = 24/6

x = 4

Answer:

90. 718 kg

Step-by-step explanation:

0.454x 200= 90.718

if u round it it's 90.8kg

Answer: 90.8

Step-by-step explanation:

200x0.454=90.8

Since 1 pound is 0.454 kg, you multiply the 200 with the 0.454 because there are 200 pounds!

On solving the provided question we can say that The following is the data table of the function.

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

here,

the provided functions that can be formed are

           x            -infinity < x < -10

f(x) =    2x + 10          -10 < x < 10

           4X - 10       10 < x < infinty

The following is the data table of the function.

x              y

-20          -20

-15          -15

-10          -10

-5             0

0              10

5               20

10              30

15              50

20              70

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An example of the piecewise defined function is: \(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output.

A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or range.

Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

The following is the data table of the function.

x               y

-20          -20

-15           -15

-10           -10

-5              0

0              10

5              20

10              30

15              50

20             70

The provided functions that can be formed are

\(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)

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The pattern can be written as a whole number by the general equation written as, \(E = \dfrac{n} { 10^k }\).

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

Decimal equivalent to 12 with zero tenths and hundredths: 12.00

To divide 3 by powers of 10, we can simply move the decimal point to the left by the same number of places as the exponent of 10. For example:

3 ÷ 10 = 0.3

3 ÷ 100 = 0.03

3 ÷ 1000 = 0.003

and so on.

So in general, to divide a whole number n by a power of 10 with exponent k, we can write:

The pattern can be written as:-

\(E = \dfrac{n} { 10^k }\)

Then we can move the decimal point in the numerator k places to the left to get the decimal equivalent.

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Answer:

15:24, 20:32 and 40:64.

Step-by-step explanation:

hope this helps

Answer:

The ratios that work is 15:24 because 5 x 3= 15, 24 x 3 = 24 as they both have a 3 as factors. There's also 20:32 as they both have a 4 as factors and  lastly 16:10 because they both have a 2 as factors.

Step-by-step explanation:

The ratios that work is 15:24 because 5 x 3= 15, 24 x 3 = 24 as they both have a 3 as factors. There's also 20:32 as they both have a 4 as factors and  lastly 16:10 because they both have a 2 as factors.

Answer:

Step-by-step explanation:

use SOH CAH TOA to remember sin cos and tan functions

Sin = oppostive/hypotenuse
Cos = adjacent/hypotenuse
Tan = opposite/adjacent

22. cos(x) = b/c
24. sin(x) = 2/2sqrt(17) = 1/sqrt(17)
26. tan(x) = 2/8 = 1/4

28. cos(y) = 2/2sqrt(17) = 1/sqrt(17)
30. sin(30)
in a 30 60 90 triangle, the side opposite 30 is 1, the side opposite 60 is sqrt(3), the side opposite 90 is 2.
sin(30) = opposite/hypotenuse = 1/2/1 = 1/2
32.
in a 45 45 90 triangle, the side opposite 45 is 1, the side opposite 45 is 1, the side opposite 90 is sqrt2.

sin = opposite/hypotenuse = 1/sqrt(2)
34. cos(30) = sqrt(3)/2

36. tan(31) = AC/9 --> AC = 9tan(31) = 5.408

Answer:

22.  \(\dfrac{b}{c}\)

24.  \(\dfrac{\sqrt{17} }{17}\)

26.  \(\dfrac14\)

28.  \(\dfrac{\sqrt{17} }{17}\)

30.  \(\dfrac12\)

32.  \(\dfrac{\sqrt{2} }{2}\)

34.  \(\dfrac{\sqrt{3} }{2}\)

36. AC = 5.41 (nearest hundredth)

Step-by-step explanation:

Using trig ratios:

\(sin(\theta)=\dfrac{O}{H}\\\\\\cos(\theta)=\dfrac{A}{H}\\\\\\tan(\theta)=\dfrac{O}{A}\)

where \(\theta\) is the angle, O is the side opposite the angle, A is the side adjacent the angle, H is the hypotenuse of a right angle

22. \(cos(x)=\dfrac{b}{c}\)

24.  \(sin(x)=\dfrac{2}{2\sqrt{17} }=\dfrac{\sqrt{17} }{17}\)

26. \(tan(x)=\dfrac{2}{8}=\dfrac14\)

28. \(cos(y)=\dfrac{2}{2\sqrt{17} }=\dfrac{\sqrt{17} }{17}\dfrac{}{}\)

30. \(sin(30)=\dfrac12\)

32. \(sin(45)=\dfrac{\sqrt{2} }{2}\)

34. \(cos(30)=\dfrac{\sqrt{3} }{2}\)

36. \(tan(31)=\dfrac{AC}{9}\)

\(\implies AC=9tan(31)=5.41\) (nearest hundredth)

Answer:

-6

Step-by-step explanation:

Let "what" be termed as "x".

Set the equation:

3 * x = -18

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Divide 3 from both sides:

(3x)/3 = (-18)/3

x = -18/3

x = -6*

*Note: When you divide a negative number with a positive number, your answer will be negative.

-6 is your answer.

~

The value of number which is 3 times to -18 is -6 .

Given,

3 *x = -18

So,

Let "what" be termed as "x".

Form the equation including the variable x ,

3 * x = -18

Isolate the variable, x.

Note the equal sign, what you do to one side, you do to the other. Divide 3 from both sides:

(3x)/3 = (-18)/3

x = -18/3

x = -6

-6 is the required answer .

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Answer:

the answer is 50.27 cm for your question