Multiply numbers with decimals
2.34 x 1.6

Vectors is a quantity that has both magnitude and direction as well. A vector that has 1 magnitude is called unit vector. Unit vector is represented by the symbol '^'.

To find a Unit vector we divide the vector by its magnitude.

First find the slope of the tangent line, slope of a tangent line for a point f(x) is given by f'(x). Hence at point (π/6,1) where x = π/6, the slope of the tangent line is :

[tex]f(x)=2sinx\\f'(x)=2cosx\\f'(\pi /6)=2cos(\pi /6)=2.\frac{\sqrt{3} }{2}=\sqrt{3}[/tex]

The slope of the tangent line at this point is [tex]m=\sqrt{3}[/tex]

Finding a unit vector parallel to the tangent line. since slope is the ratio y and x then we can set an arbitrary vector with slope 4 by letting x=1 and y = √3 or v=[1,√3]. this vector has slope √3 and this is parallel to the tangent line, However this is not unit vector because its magnitude is not equal to 1 so we can divide this vector by its magnitude to find the unit vector.

[tex]u_v=\frac{v}{|v|} =\frac{1 \sqrt{3} }{\sqrt{1^{2}+(\sqrt{3})^2 } } \\=\frac{1}{\sqrt{4} } ,\frac{\sqrt{3} }{\sqrt{4} } =\frac{1}{2}, \frac{\sqrt{3} }{2} =[\frac{1}{2},\frac{\sqrt{3} }{2} ][/tex]

If a line has slope of m then all lines perpendicular of it will have a slope of  -1/m

So we are looking for a unit vector of slope of -1/√3

Using the same logic we have unit vector that are perpendicular to the tangent line are [tex][\frac{\sqrt{3} }{2},-\frac{1}{2} ][/tex]

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Answer:

a = b(10-c)/5

Step-by-step explanation:

5a/b + c = 10

5a/b = 10-c

5a = b(10-c)

a = b(10-c)/5

Answer: 2(n +5) = 20

Step-by-step explanation:

Answer:

2(n+5)=20

Step-by-step explanation:

n+5 is the sum. Two times of the sum is 2*(n+5) which is 2(n+5). This is set to equal 20.

Answer: 2 5/12

Step-by-step explanation: you multiply each number to 12 as the bottom number it’s hard to explain

3/8 is the probability that they will have exactly 2 girls and 2 boys.

What does a probability mean?

Got to have 4 children

Boy and Girl are equally likely

Hence, P( boy) = P( girl) = 1/2

This is like performing binomial distribution.

P( excatly 2 boys and 2 girls)

=4C2(1/2)^2 (1/2)^2

=6/16

=3/8

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According to the given statement the values are:

The range = 19

Interquartile Range will be = 8.25

Sample Variance =33.93

Sample Standard deviation = 5.82

The dispersion of your data's middle quartile is measured by the interquartile range (IQR). It is the range for your sample's middle 50%. Assess geographical variability where the majority of your numbers are by using the IQR. Larger numbers suggest a wider dispersion of your data's center region.

According to the given data:

finding the range =  Maximum value + Minimum value

                            = 34 - 15

                            = 19

The range = 19When ordering the observations, we obtain:

15,20,24,26,26,27,30,34

Where ,

n = 8

Q1=(n+14)the observation's term value

=(94)the observation's term value

=(2.25)the observation's term value

=2nd observation +0.25[3rd-2nd]

=20+0.25[24-20]

=20+0.25(4)

=20+1

=21

Q3=(3(n+1)4)the observation's term value

=(3⋅94)the observation's term value

=(6.75)the observation's term value

=6th observation +0.75[7th-6th]

=27+0.75[30-27]

=27+0.75(3)

=27+2.25

=29.25

Now finding the Interquartile Range

= Q3 -Q1

= 29.25 - 21

=8.25

The  Interquartile Range will be = 8.25

Sample Variance S2=∑x2-(∑x)2nn-1

=5338-(202)28/7

=5338-5100.5/7

=237.57

=33.9286

Sample Variance =33.93

S=√∑x2-(∑x)2nn-1

=√5338-(202)28/7

=√5338-5100.5/7

=√237.5/7

=√33.9286

=5.8248

Sample Standard deviation = 5.82

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The numbers that neither terminate nor repeat are called irrational numbers.

What are irrational numbers?

Any real number that is not rational is called an irrational number. These numbers can not be expressed in the form of p/q, where q is not equal to 0. Sometimes, irrational numbers are also called non-terminating and non-repeating numbers.

Filling the blank with an appropriate term

The decimal representation of ___Irrational__ number neither terminates nor repeats.

Hence, the answer is irrational.

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The product of the numbers written as a scientific notation is 1.36 × 10²²

From the question, we are to determine the product of the given numbers

The given numbers are

3.2 x 10¹² and 4.25 x 10⁹

The product of the numbers can be determined as shown below

3.2 × 10¹² × 4.25 × 10⁹

= 3.2 × 4.25 × 10¹²  × 10⁹

= 13.6 × 10¹² ⁺ ⁹

= 13.6 × 10²¹

= 1.36 × 10¹ × 10²¹

= 1.36 × 10¹ ⁺ ²¹

= 1.36 × 10²²

Hence, the product of the numbers written as a scientific notation is 1.36 × 10²²

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Answer:

Step-by-step explanation:

18x^2 + 22x + 81x + 99

18x^2 + 103x + 99

-90

90

Since it is withdrawing, we are taking away -$18 every day for 5 days.

(-18)*5 = -90

Since it is a deposit, we are adding to the amount in her account, +$18 for 5 days.

18*5 = 108

The difference is that one is taking away and one is adding each day, resulting in negative or positive change.

An agreement with a bank to retain money and maintain transaction records. a plan for working with a firm on a regular basis. a set-up where a person uses a specific company's email or Internet services. The word "account" typically alludes to a ledger or record-keeping activity. In the financial sector, it can be used in a wide variety of ways. An account in banking is a contract whereby a company, generally a bank or credit union, takes a customer's financial assets and retains them on the customer's behalf at the customer's choice.

Savings accounts are one type of account that consumers can open to help them amass liquid assets.

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Answer: -x^6(3x-1)(9x^2+3x+1)

Step-by-step explanation:

x^6-27x^9=

x^6(1-27x^(9-6))=

x^6(1-27x^3)=

-x^6(27x^3-1)=-x^6(3x-1)(9x^2+3x+1)

Answer: 27

Step-by-step explanation:

Answer: 3/6 or 1/2 or 50%

Step-by-step explanation: 1, 2, 3 4, 5, 6 are each face

2, 4, and 6 are even.

3 out of the 6 are even (3/6)

reduce (1/2)

1/2 = 50%

Answer:

B

Step-by-step explanation:

7.5cm - 5cm = 2.5cm

So it is B :)

Answer:

A limit on what? And what website

Step-by-step explanation:

Answer: she would have sent 133 text messages

hope this helps

Following are examples of the listlength() methods -

It counts the string characters.

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The next three numbers in the sequence are 27, 38, and 51

From the question, we are to determine the next three numbers in the given sequence

The given sequence is

2,3,6,11,18

The difference between the 1st and 2nd terms is 3 -2 = 1

The difference between the 2nd and 3rd terms is 6 -3 = 3

The difference between the 3rd and 4th terms is 11 - 6= 5

The difference between the 4th and 5th terms is 18 - 11= 7

We can observe that the successive odd numbers are being added to the terms

Thus,

The sixth term will be 18 + 9 = 27

The seventh term will be 27 + 11 = 38

The eight term will be 38 + 13 = 51

Hence, the next three numbers in the sequence are 27, 38, and 51

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The next five terms are ← ↑ → ↓ ← and the conjecture is each arrow is rotated 90 degrees clockwise to get the next

The first three terms are given as

↑ → ↓

From the above pattern, we have the following highlights:

Each arrow is rotated 90 degrees clockwise to get the next

Using the above as a guide, we have the next five terms to be:

← ↑ → ↓ ←

Also, we have the conjecture to be:

Each arrow is rotated 90 degrees clockwise to get the next

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Model be completed to represent 642/11 is 29.1818181818

[tex]\frac{642}{11}[/tex] = 58.3636363636

58.3636363636 = 583.636363636 to the nearest tenth

58.3636363636 = 58.36 to the nearest hundredth

58.3636363636 = 58.364 to the nearest thousandth

= 0 to the nearest tenth

= 0 to the nearest hundredth

= 0 to the nearest thousandth

Other Divisions Math homework are

642 divide by half plus 20

([tex]\frac{642}{2}[/tex]) + 20 = 341

642 divide by half plus 40

([tex]\frac{642}{2}[/tex]) + 40 = 361

[tex]\frac{642}{11}[/tex] divided by 2

([tex]\frac{642}{11}[/tex]) ÷ 2 = 29.1818181818

Division is  one among  the four basic operations of arithmetic, the  ways in which  numbers are combined to make new numbers.  the opposite  operations are addition, subtraction, and multiplication.

At an elementary level the division of two natural numbers is, among other possible interpretations,  the method  of calculating the number of times one number is contained within another.7  This number of times  needn't  be an integer.  for instance , if 20 apples are divided evenly between 4 people, everyone receives 5 apples (see picture).

The division with remainder or Euclidean division of two natural numbers provides an integer quotient, which  is that the  number of times the second number is completely contained in the first number, and a remainder, which  is that the  part of the first number that remains, when  within the  course of computing the quotient, no further full chunk of  the dimensions  of the second number can be allocated.  for instance , if 21 apples are divided between 4 people, everyone receives 5 apples again, and 1 apple remains.

For division to always yield one number  instead of  a quotient plus a remainder, the natural numbers must be extended to rational numbers or real numbers.

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Answer:

Step-by-step explanation:

Totally rad!

This geometric progression has 5 terms

This is a geometric progression or geometric series whose sum of n terms is given by the formula

Sn = a[([tex]r^{n\[/tex] – 1)/(r – 1)]

Where Sn is sum of n terms of geometric progression, a is the first term of the series , r is the common ratio

Here we are required to find the number of terms in the geometric progression whose first term is -3 and common ratio is 6

-4665 = -3 [( [tex]6^{n}[/tex]-1)/(6-1)

1555=( [tex]6^{n}[/tex]-1)/5

7775= [tex]6^{n}[/tex]- 1

7776 = [tex]6^{n}[/tex]

[tex]6^{5}[/tex] = [tex]6^{n}[/tex]

So, n=5

Therefore this geometric progression has 5 terms

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There are two vertical asymptotes at angles of 0.5π radians and 1.5π radians and it occurs every π radians.

Tangent function is a kind of trigonometric function, that is, a kind of transcendent function. This function has a period of π radians and for f(x) = tan x, the vertical asymptotes are contained in the points:

x = 0.5π + i · 2π, where i is an integer.

Hence, there are two vertical asymptotes at angles of 0.5π radians and 1.5π radians and it occurs every π radians.

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Answer:

so i the answer is 216 only

Using it's concepts, we have that:

A function has the following format: y = f(x).

In which each value of y is a function of one value of x, and thus, x is the independent variable and y is the dependent variable.

That is, the input of the function is the independent variable and the output is the dependent variable.

For this problem, we have that the number of swings is dependent on the mass of the pendulum, hence:

Number of Swings = f(mass).

Thus:

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Answer:

x = 5

Step-by-step explanation:

The equation that can be used to model the total number of yards of fabric, y. needed to make x curtain panels is y = (10 2/4 ÷ 4) × x

It should be noted that Mary used 10 2/3 yards of fabric to make 4 identical curtain panels.

Therefore, the equation that can be used to model the total number of yards of fabric, y. needed to make x curtain panels will be:

y = (10 2/4 ÷ 4) × x

where

y = number of yards

x = number of panels

Therefore, the equation is y = (10 2/4 ÷ 4) × x

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