Given the geometric series 6+3+3/2….Find

(i) the sum of n terms.
(ii) S infinity. Hence, determine smallest value of n such that S infinity - Sn < 0.001.

12-12[1-(1)]<0.001

Answer:

-2

Step-by-step explanation:

4.77

+1.23

=6

6/-3=-2, so d=-2

Answer:

Step-by-step explanation: 56.52 in.

Answer: 56.52 Inches

Step-by-step explanation:

Step 1. Write down the formula for finding the circumference of a circle.

C=2r

Step 2. Next, we substitute the values of pi and r.

C=2(3.14)9

Step 3 (Final step). Finally, we Multiply everything to get C

C=56.52 Inches.

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Answer: ellens stick is 3 inches long you can find this out because you can multiply 3 times nine and it will give you 27 and then boom you have your answer

Step-by-step explanation:

Answer:

The answer is 3cm

Step-by-step explanation:

Length of Finn's stick=27cm

Length of Ellen's stick=n

Acc to given statement:

27=9n

n=27/9

n=3cm

So Ellen's stick is 3cm long

The maximum profit the company can make given these constraints is; $1360

We are given that;

Its dealers demand at least 30 skateboards per day and 20 pairs of in-line skates per day. The factory can make at most 60 skateboards and 40 pairs of in-line skates per day. The total number of skateboards and pairs of in-line skates cannot exceed 90. The profit of each skateboard is $12 and the profit on each pair of in-line skates is $19

Thus, the inequalities are as follows;

Let x represent number of skateboards

Let y represent in-line skates

Thus;

x ≥ 30

y ≥ 20

x ≤ 60

y ≤ 40

x + y ≤ 90

y ≤  -x + 90

f(x, y) = 12x + 19y

At (30, 20), f(30, 20) = 12(30) + 19(20) = $740

At (30, 40), f(30, 40) = 12(30) + 19(40) = $1120

At (50, 40), f(50, 40) = 12(50) + 19(40) = $1360

At (60, 20), f(60, 20) = 12(60) + 19(20) = $1100

At (60, 30), f(60,30) =  12(60) + 19(30) = $1290

Thus, the maximum profit the company can make given these constraints is; $1360

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Answer:

K

Step-by-step explanation:

Well, P is quadrant 1

K is quadrant 2

M is quadrant 3

J is quadrant 4

Answer:

Quadrant II is letter K.

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Answer:

The answer is zero.

Step-by-step explanation:

5.5=-4.5

The statement is false.

Answer:

In order of operations

Step-by-step explanation:

==> [tex]\frac{2}{7} \cdot 53 \cdot {7}{2} \\53 \cdot \frac{2}{7} \cdot {7}{2} \\[/tex]  
Commutative property of multiplication : With multiplication of numbers, you can change the order of the numbers in the problem and it will not affect the answer. [tex]a \cdot b \cdot c = b \cdot a\cdot c[/tex]

==> [tex]53 \cdot 1[/tex]  
Multiplicative Inverse : A number multiplied by its reciprocal equals

1 : [tex]\frac{a}{b}\cdot\frac{b}{a} = 1[/tex]

==> 53

Multiplicative Identity: Multiplying a number by 1 leaves the number unchanged: [tex]a\cdot1 = a[/tex]

Answer: 44

Step-by-step explanation:

[tex]3w^{2} -3w+8[/tex]

w=4

Plug 4 in for w.

[tex]3(4)^{2} -3(4)+8[/tex]

[tex]=3(16)-12+8[/tex]

[tex]=48-4\\=44[/tex]

Answer: The coordinate is with the weight of 2

The answer is 32

Step-by-step explanation:

you can figure it out

The final value is 6199.

Simplify:

(29 × 35) + (24 x 3)²

= 1015 +5184

=6199

In mathematics, simply or simplification is reducing the expression/fraction/problem  during a  simpler form. It makes  the matter  easy with calculations and solving.

Here are  the essential  steps to follow to simplify an algebraic expression:

Remove parentheses by multiplying factors.

Use exponent rules  to get rid of  parentheses in terms with exponents.

Combine like terms by adding coefficients.

Combine the constants.

Here's  differently  to explain it: The is used to refer to a specific or particular member of a group.  for instance , "I just saw  the foremost  popular movie of the year." There are many movies, but  just one  particular movie is the most popular.

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The simplified value of the exponential expression [tex]16^4 ~and ~16^{17}[/tex]is:

65,536 and 36,893,488,147,419,103,232.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To simplify the exponential expressions, we can use the rule that states:

[tex]a^m \times a^n = a^{m+n}[/tex]

[tex]16^4[/tex]can be simplified as follows:

[tex]16^4[/tex] = 16 x 16 x 16 x 16

[tex]= (2^4) \times (2^4) \times (2^4) \times (2^4)[/tex]

(since 16 = 2^4)

[tex]= 2^{4+4+4+4}\\= 2^{16}\\= 65,536[/tex]

Therefore, [tex]16^4[/tex] simplifies to 65,536.

[tex]16^{17}[/tex] can be simplified as follows:

[tex]= 16^{17} = 16^{16} \times 16^1\\= (2^4)^{16 \times 2^1 }\\= 2^{4\times 16 \times 2^1}\\= 2^{64} \times 2^1\\= 2^{65}[/tex]

Therefore, [tex]16^{17}[/tex] simplifies to 36,893,488,147,419,103,232.

Thus,

The simplified value of the exponential expression [tex]16^4 ~and ~16^{17}[/tex]is:

65,536 and 36,893,488,147,419,103,232.

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Answer:1014$

Step-by-step explanation:796

                                           +214

                                           1014

There were 70 children in total.

A fraction represents a part of the whole. It comprises of a numerator and a denominator. For example- 3/4 is a fraction. 3/4th of a number means if the number is divided into 4 equal parts, then 3 parts out of these 4 ⇒ 3/4th of the number.

Here, we are given that a piñata spilled open and released 50 pounds of candy.

Each child scooped up 5/7 of a pound of candy.

Let the total number of children be X

Therefore, we will get the following equation-

(5/7) X = 50

X = 50 (7/5)

X = 10 × 7

X = 70

Thus, there were 70 children in all.

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The length of the third part of the rope is 4 feet.

Given that A 48-feet rope is cut into three length. The second length of the rope is twice the first length. The third length of rope is one-fifth the first length

Let's assume the length of the 1st part is "x".

Then the length of the second part is "2x". and the length of the third part is "[tex]\frac{x}{5}[/tex]".

The total length of rope is 48 feet

⇒x+2x+[tex]\frac{x}{5}[/tex]= 48 feet

⇒3x+[tex]\frac{x}{5}[/tex]= 48 feet

⇒[tex]\frac{16x}{5}[/tex]= 48 feet

⇒ x= 20 feet.

Therefore, The length of the third part of the rope is 4 feet.

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The value of the angles in the triangle is as follows:

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

Therefore,

120 = ∠B + ∠C

∠B = 22x + 4

∠C = 15x + 5

120 = 22x + 4 + 15x + 5

120 = 22x + 15x + 4 + 5

120 - 9 = 37x

111 = 37x

divide both sides by 37

111 / 37 = x

x = 3

∠B = 22(3) + 4 = 66 + 4 = 70°

∠C = 15(3) + 5 = 45 + 5 = 50°

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Answer:

x = 3

b = 70

c = 50

Step-by-step explanation:

Find X:

= 3

(22x + 4) + (15x + 5) = 120

22x + 15x = 37

4 + 5 = 9

+9 -9= 0

120 - 9 = 111

111 / 37x = x = 3

Find the measure of angle B:

70

22x + 4

22(3) + 4

22 multiplied by 3 = 66

66 + 4 = 70

Find the measure of angle C:

50

15x + 5

15 (3) + 5

15 times 3 = 45

45 + 5 = 50

Whole worksheet is in the PDF :)

Answer:

2131

Step-by-step explanation:

26×9=234

271×7=1897

234+1897=2131

After performing the simplification process we get the answer as 1052668 or 1.025668 × 10⁶

Some "fixing" difficulties involve simplifying. Parentheses and even nested grouping symbols can be found in some equations, just like they can in some expressions. Whether we're working with equations (so we're also solving), or expressions (and only simplifying), the simplification procedure is the same in both cases.

Given the expression is m 4(m² ₋ 2) and

the value of m = ₋513

substitute the value of m in the expression.

4 ×((₋513)² ₋ 2)

Determine the sign for radical or exponential expressions

4×(513² ₋ 2)

calculate the power.

4 × (263169 ₋ 2)

calculate the sum or the difference.

4 × 263167

after multiplication we get the answer as:

1052668

can also be written as 1.052668 × 10⁶

Hence we gained the desired result.

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Step-by-step explanation:

X+10+4X-12=83

5X-2=83

+2. +2.

5X=85

÷. ÷

5. 5

X=17

Now you plug it in:

(17)+10= 27=ABC°

ABD°=83

4(17)-12= 56 = DBC°

ABD would be the total of ABC and DBC since it's basically those 2 combined.

Answer: 20%

Step-by-step explanation:

1=100%

1/5=

100%/5=20%

Answer: 20 percent

Step-by-step explanation: how you college level and not know this one

Hope attachment will be helpful .

The mathematical rule to express the relationship between the length of the model, m, and the length of the boat, b is; m = b/3.5

We are told that Jane's model is a boat.

Now, we are told that very inch on her model is equivalent to 3.5 feet on the real boat her model is based on.

Now, what this means is that the scale factor is; 1 inch to represent 3.5 feet. Thus, if the length of the model, m, and the length of the boat, b, then the relationship between m and b is;

m = b/3.5

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The earthquake was a devastating one as its range is very high for the logarithm function.

We are given that:

M = log (A) - log (A₀) + c log (Δ)

where,

M = local magnitude of the earthquake

A = maximum amplitude in micrometers

A₀ = reference amplitude

c = calibration constant

Δ = distance in km between the seismograph and the epicenter

Now, we are given that:

M = 114370.61 ц m

A = ?

A₀ = 302 ц m

c = 2.76

Δ = 60 km

We have to find the maximum amplitude.

Substituting the values in the logarithm function, we get that:

9102 ц m = log (A) - log (302 ц m) + 2.76 log (60 km)

114370.61 ц m = log (A) - 2.48 + 2.76 (1.78)

114370.61 ц m = log (A) - 2.48 + 4.91

114370.61 ц m = log (A) + 2.43

log (A) = 114370.61 ц m - 2.43

log (A) = 114368.18 ц m

A = e¹¹⁴³⁶⁸°¹⁸ ц m

A = will come in the range 9 and over.

Therefore, the earthquake was a devastating one as its range is very high for the logarithm function.

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Answer:

14

Step-by-step explanation:

7-(-7)=14 so the answer is 14

Answer:

14

Step-by-step explanation:

The expression 7-y

when y= -7

becomes by substitution of y with -7

7-(-7) = 7+7 = 14

The simplification of the given equation is  m/9=1/18.

Given angle m26 = 13°

m= 13°/26

  = 1/2

m/9=(1/2)/9

     = 1/(2*9)

     = 1/18

m/9=1/18

Expressions are mathematical statements with at least two words that comprise either numbers, variables, or both and are linked by an addition/subtraction operator. PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction - is the main rule for simplifying expressions.

Simplifying expressions entails rewriting the same algebraic statement in a compact fashion with no similar terms. To simplify expressions, we combine all similar words and solve all specified brackets, if any, leaving just unlike terms in the simplified expression that cannot be reduced further.

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