What is the answer to this

A geometric sequence goes from one term to the next by always multiplying or dividing by the constant value except 0. The constant number multiplied (or divided) at each stage of a geometric sequence is called the common ratio (r).

A geometric series is the sum of an infinite number of terms of a geometric sequence.

A geometric series is convergers if |r| < 1.

A geometric series is diveres if |r| > 1.

Calculate the common ratio:

[tex]r=\dfrac{18}{27}=\dfrac{18:9}{27:9}=\dfrac{2}{3}\\\\r=\dfrac{12}{18}=\dfrac{12:6}{18:6}=\dfrac{2}{3}\\\\r=\dfrac{8}{12}=\dfrac{8:24}{12:4}=\dfrac{2}{3}[/tex]

[tex]\left|\dfrac{2}{3}\right| < 1[/tex]

Therefore exist the sum.

Formula of a sum of a geometric series:

[tex]S=\dfrac{a_1}{1-r},\qquad|r| < 1[/tex]

Substitute:

[tex]a_1=27,\ r=\dfrac{2}{3}[/tex]

[tex]S=\dfrac{27}{1-\frac{2}{3}}=\dfrac{27}{\frac{1}{3}}=27\cdot\dfrac{3}{1}=81[/tex]

[tex]\huge\boxed{S=81}[/tex]

Answer:

your answer please mark me as brainlist

Answer:

[tex]\sqrt{95}/5[/tex]

Answer:2.5

Step-by-step explanation:

4+1/2-2=2 1/2 according to the formula

Step-by-step explanation:

[tex] = \frac{14\pi}{6} [/tex]

[tex] = \frac{ \cancel{14}\pi}{ \cancel6} [/tex]

[tex] = \frac{7\pi}{3} [/tex]

[tex] = \frac{6\pi + \pi}{3} [/tex]

[tex] = \frac{6\pi}{3} + \frac{\pi}{3} [/tex]

[tex] = 2\pi + \frac{\pi}{3} [/tex]

[tex] = 0 + \frac{\pi}{3} [/tex]

[tex] = \frac{\pi}{3} \: \text{where} \: \frac{\pi}{3} < 2\pi[/tex]

The answer is B.

A company's prospectus includes: A) The company's investment options.

Company's prospectus can be defined as the document that entails  detail information of a company investment option that are available for sales to potentials buyers or investors.

Examples of the investment options are:

Therefore the correct option is A.

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A company's prospectus is a formal legal document designed to provide information and full details about an investment offering for sale to the public.

The solution to the system of equation is (-0.6, 1.6)

Given the system of linear equations as shown:

y = 2/3x+ 2 .................. 1

6x - 4y = -10................ 2

Substitute equation 1 into 2 to have:

6x - 4(2/3x + 2) = -10
6x - 8/3 x - 8 = -10
10/3 x = -2

10x = -6

x =-0.6

Determine the value of y

y = 2/3x + 2

y = 2/3 (-0.6) + 2

y = -0.4 + 2

y = 1.6

Hence the solution to the system of equation is (-0.6, 1.6)

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The length of the piece should be 17.716 inches.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

length = 45 m

one inch = 2.54 cm

So, length of strip would be

=45/2.54

=17.716

Hence, the length of the piece should be 17.716 inches.

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The dimensions of the paper are 9 by 5 inches

Let x represent the length and y, the width

The given parameters are:

Perimeter, P = 28

Area, A = 45

So, we have

P = 2(x + y) = 28

A = xy = 45

Rewrite as:

2(x + y) = 28

xy = 45

By trial by error, we have:

x = 9 and y = 5

This can be proved as follows:

2(9 + 5) = 28--- true

9 * 5 = 45 --- true

Hence, the dimensions of the paper are 9 by 5 inches

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[tex]\bf{-5x^{2} +10x-25 }[/tex]

[tex]\bf{Rewrite \ 10 \ as:5\cdot2.}[/tex]

[tex]\bf{Rewrite \ 25 \ as:5\cdot5.}[/tex]

[tex]\bf{=-5x^2+5\cdot \:2x-5\cdot \:5}[/tex]

[tex]\bf{Factor \ the \ common \ term \ 5.}[/tex]

[tex]\bf{=5(-x^{2} +2x-5) \ \ \to \ \ \ Answer }[/tex]

Answer:

9$

Step-by-step explanation:

$3.49 rounds to 3 dollars since it is not half of a dollar. If it was $3.50 (which is half of a dollar) it would round to 4 dollars, but it isn't so it just rounds to $3. $1.14 rounds to one dollar, but since there were three of them  there will be a total of three dollars (approximately) in oranges. $3.46 rounds to $3. Add all three estimates together and you get 9 dollars :)

Answer:

C. Decreasing

Step-by-step explanation:

The graph is decreasing because the graphed line read from left to right is slanting down.

Hope this helps!

If not, I am sorry.

Answer:

Step-by-step explanation:

Hello

If a graph is constant, it doesn't have any change at all.

If a graph is increasing, it looks like this-:

[tex]\Huge\nearrow[/tex]

If a graph is decreasing, it looks like this-:

[tex]\searrow[/tex]

Since the given graph is most similar to [tex]\searrow[/tex], it's decreasing.

[tex]\pmb{\tt{done~!!}}[/tex]

[tex]\orange\hspace{300pt}\above2[/tex]

Answer:528 apple trees

Step-by-step explanation:Listen 198/6=33 so then just multiply 33x16 that equals 528 hope this helps

Answer:

49 cm²

Step-by-step explanation:

Half circle: 1/2 π r² ≈ 1/2 * 3.14 * 16  = 25.12

Rectangle: 3*8 = 24

Add them: 25.12 + 24 ≈ 49

Answer:

3

[tex]3 {y}^{0} [/tex]

[tex] = 3 \times 1[/tex]

[tex] = 3[/tex]

If any numbers or constant power is zero then it will be 1

Answer:

3

Step-by-step explanation:

So anything to the power of zero is equal to 1. So you have the equation: [tex]3y^0=3(1)=3[/tex]

If this doesn't make much sense, I sometimes like to use identities to show why this is. So since you're most likely learning exponents, you likely know the identity: [tex]\frac{x^a}{x^b}=x^{a-b}[/tex] well you can use this identity to express the equation: [tex]\frac{x^a}{x^a}=x^{a-a}=x^0[/tex]. and since x^a should equal x^a, and it's being divided by it self, this is equal to 1.

Btw if you didn't understand the identity: [tex]\frac{x^a}{x^b}=x^{a-b}[/tex] I'll try to briefly explain it. The reason this is true, is because you can cancel stuff out if it's being multiplied in the denominator and numerator. For example: [tex]\frac{3a}{3}[/tex]. I can cancel out the 3, because if I multiply 3 by a, and then divide by 3, I'm going to be left with a, because they're inverse to each other. This should hold true for exponents. So you can think of the identity more like: [tex]\frac{x*x*x...\text{a amount of times}}{x*x*x\text{b amount of times}}[/tex] seeing it like this might help understand why you subtract, since you're just cancelling out the x's.

I'll give you a more definitive example to help you grasp it in an example so: [tex]\frac{2^4}{2^2}=\frac{2*2*2*2}{2*2}=\frac{2*2}{1}=2^2[/tex]. See how I canceled out 2 of the 2's, well all I was really doing was subtracting 2 from the degree of the numerator, or in other words I was subtracting the degree of the denominator from the numerator since the bases were the same which is exactly what the identity is doing.

Answer:

The product is the difference of squares is [tex]$$\left(m-7\right)\left(m+7\right)={{m}^2}-49$$[/tex]

Step-by-step explanation:

Explanation

[tex]$$\begin{aligned}&(m-7)(m+7)=(m)^{2}-(7)^{2} \\&(m-7)(m+7)=m^{2}-49\end{aligned}$$[/tex]

Answer:

463/50 or 9 13/50

Answer:

9.26=9 13/50

Step-by-step explanation:

Rewrite the decimal number as a fraction with 1 in the denominator

9.26=9.26/1

Multiply to remove 2 decimal places. Here, you multiply top and bottom by 10^2 = 100

9.26/1×100/100=926/100

Find the Greatest Common Factor (GCF) of 926 and 100, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 2,

926÷2/100÷2=463/50

Simplify the improper fraction,

=9 13/50

In conclusion,

9.26=9 13/50

The capacitance of the other cylinders are 2174. 94cm³ and 1208. 30cm³.

Capacity of a cylinder is seen as its volume

Volume of a cylinder = πr²h

The heights of the cylinders are

a. 3cm

b. 9cm

c. 5cm

Let's find the radius

Capacity = 3. 142 × r² × 3

725 = 3. 142 × r² × 3

r² = [tex]\frac{725}{3. 142 * 3}[/tex]

r² = [tex]\frac{725}{9. 426}[/tex]

r² = 76. 91

r = √76. 91

r = 8. 77cm

Radius of the cylinders = 8. 77cm

For cylinder with height of 9cm

Capacitance = πr²h

Capacitance = 3. 142 × 8. 77 × 8. 77 × 9

Capacitance = 2174. 94 cm³

For cylinder with height of 5cm

Capacitance = 3. 142 × 8. 77 × 8. 77 × 5

Capacitance = 1208. 30 cm³

Thus, the capacitance of the other cylinders are 2174. 94cm³ and 1208. 30cm³.

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Hello,

check for x = 2, we can see h(x) = 0

h(x) = √(x - 2) ⇒ h(2) = √(2 - 2) = √0 = 0 ⇒ ok

h(x) = √x - 2 ⇒ h(2) = √2 - 2 ≠ 0 ⇒ not this answer

h(x) = √x + 2 ⇒ h(2) = √2 + 2 ≠ 0 ⇒ not this answer

h(x) = √(x + 2) ⇒ h(2) = √(2 + 2) = √4  ≠ 0 ⇒ not this answer

So the answer is  h(x) = √(x - 2)

To have solution for f(x)=log3(x-2)-2. x must be x >2 or x ( 2, ∞) .

f(x)=log3(x-2)-2

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is independent variable while Y is dependent variable.

Since,
f(x)=log3(x-2)-2
The above function will goes to infinity when we put x = 2.
So the given function has solution for x > 2.

Thus, the To have solution for f(x)=log3(x-2)-2. x must be x >2 or x ( 2, ∞) .

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Answer:

Infinitely Many Solutions

Step-by-step explanation:

[tex]10x-6y=-8\\-10x+6y=8\\\0 = 0\\[/tex]

The value of x based on the information given in the triangle is D. x = 1.

From the information given, it stated that the triangles are similar.

In this case, both triangles have side 4 and 5. Therefore, we are to find the last side. This will be:

4x - 1 = x + 2

Collect like terms

4x - x = 2 + 1

3x = 3

x = 3/3

x = 1

Therefore, the correct option is D.

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Answer:

x=1

Step-by-step explanation:

Hello !

Answer :

100% of x ⇒ 100/100 × x = 1 × x = x

200% of y ⇒ 200/100 × y = 2 × y = 2y

Answer:

=============

Let the pizza was shared between x people.

Set up equation and solve for x:

If we exclude Lemo, the number of friends is 4.

The expression that is a prime polynomial is:

B. [tex]x^3 - 27y^2[/tex].

A prime polynomial is a polynomial that cannot be factored.

In this problem, item b gives a prime polynomial, as:

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Using translation concepts, the equation of the graph F(x) is given as follows:

F(x) = -x² - 3.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

Researching this problem on the internet, the graph of G(x) = x² was reflected over the axis(multiplied by -1), and shifted down 3 units(F(x) -> G(-x) - 3), hence the equation for F(x) is:

F(x) = -x² - 3.

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Using a system of equations, it is found that David is 12 years old.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

The variables are given as follows:

David is three times younger than the dad and twice as old as Rebecca, then:

Rebecca is 30 years younger than the dad, hence:

z = y - 30.

Then, since x = 2z and z = y - 30 and y = 3x, we solve for x to find David's age.

x = 2(y - 30)

x = 2(3x - 30)

x = 6x - 60

5x = 60

x = 60/5

x = 12.

David is 12 years old.

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