What is the 5th term of the geometric sequence
9. 27. 81.243, ...?

Answer:

Option C, 13.7 cm

Step-by-step explanation:

Cos(31°) = [tex]\frac{x}{15}[/tex]

=> Multiply 15 on both sides of "="

Cos(31°) * 15 = x

13.7 = x

Hope this helps!

Answer:

solution set must contain all numbers less than zero or greater than one

graph H illustrates this solution

Step-by-step explanation:

6x - 14 < -14

6x < 0

x < 0

3x + 10 > 13

3x > 3

x > 1

Answer:

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

Step-by-step explanation:

The number 27 is written in the form of a base of 3 and the exponent of 3 is given as 3³.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

here, we have,

It is a method for dividing a polynomial into pieces that will be multiplied together.

At this moment, the polynomial's value will be zero.

Rewrite 27 as a base and exponent without using an exponent of 1.

The number 27 can be written as,

27 = 3 x 3 x 3

27 = 3³

Then the number 27 is written in the form of a base of 3 and the exponent of 3 is given as 3³.

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Answer:

Inferential study

Step-by-step explanation:

From the question, we understand that the professor concluded that majority of the class (of 198 students) preferred in class assessment based on the response from 67% of the sample size (i.e 30 students)

When decisions or conclusions are made about an overall population based on a survey carried out on a smaller sample, such study is referred to as an inferential study or inferential research.

Descriptive study on the other hand focuses on the features rather than the result of the experiment of the dataset.

Answer: She will need 3 extension cords.

Step-by-step explanation:

If the farthest hedge is 40 yards away, that means it is 120 feet away because 1 yard equals 3 feet. If the cord on her trimmer is 10 feet and her extension cords are 50 feet long, 10+50+50+50= 160 feet. This means she would need 3 extension cords. 2 extension cords would not be long enough.

Using the addition operation, the number of cups of flour Sasha needs to make both a batch of muffins and a loaf of bread is 2⁵/₁₂ cups.

We can use the addition operation to determine the quantity of flour that Sasha needs.

We add the cups of flour needed for both items to determine the total quantity.

The quantity of flour for making a batch of muffins = 3/4 cups

The quantity of flour for making a loaf of bread = 1²/₃ cups

The total quantity of flour needed for making a batch of muffins and a loaf of bread = 2⁵/₁₂ cups (³/₄ + 1²/₃)

(³/₄ + 1²/₃)

= ³/₄ + ⁵/₃

= (9 + 20)/12

= 29/12

= 2⁵/₁₂

Thus, to make a batch of muffins and a loaf of bread, Sasha needs 2⁵/₁₂ cups of flour.

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Answer:

3 packs

Step-by-step explanation:

1 pack = $3

To see how many she could buy divide the money she has by how much each pack costs

9/3 = 3

$3 for each pack is the same as

3+3+3 = 6+3 = 9

Answer:

12.6

Step-by-step explanation:

you basically subtract 32.4 and 45 to get your final answer because if a question has the words " how much more " you will most likely have to subtract or include subtraction

The correct option regarding which of the sentences represents a trigonometric identity is given as follows:

b. None of the equations are identities.

A trigonometric identity is a relation that is true for all possible angle measures of [tex]\theta[/tex]

The first relation is given as follows:

[tex]4\cos{\theta}\tan{\theta}\sec{\theta} = 4[/tex]

The tangent and secant equations are given as follows:

Hence:

4cos(x)tan(x)sec(x) = 4cos(x) x sin(x)/cos(x) x 1/cos(x)

4cos(x)tan(x)sec(x) = 4sin(x)/cos(x)

4cos(x)tan(x)sec(x) = 4tan(x).

Meaning that the first statement is not an identity.

The second relation is given as follows:

[tex]\frac{9\sec^{2}{\theta}}{\cos^{2}{\theta}} - \frac{\tan^{2}{\theta}}{\cos^{2}{\theta}} = 2[/tex]

With a single denominator, we have that:

[tex]\frac{9\sec^{2}{\theta} - \tan^{2}{\theta}}{\cos^{2}{\theta}} = 2[/tex]

The secant identity is given as follows:

[tex]\sec^2{\theta} = 1 + \tan^2{\theta}[/tex]

Hence:

[tex]\frac{9\sec^{2}{\theta} - \tan^{2}{\theta}}{\cos^{2}{\theta}} = 2[/tex]

[tex]\frac{9(1 + \tan^2{\theta}) - \tan^{2}{\theta}}{\cos^{2}{\theta}} = 2[/tex]

[tex]\frac{9 + 8\tan^2{\theta}}{\cos^{2}{\theta}} = 2[/tex]

Is also a false statement, hence neither is an identity and option B is correct.

The statements are given by the image presented at the end of the answer.

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Answer:

Lateral surface area is 847.8 centimeters^2

Step-by-step explanation:

The formula for determining the lateral surface area of a cylinder is expressed as

Lateral surface area = 2πrh

Where

r = radius of the cylinder

h = the height of the cylinder

From the information given,

r = 9 centimeters

h = 15 centimeters

π = 3.14

Lateral surface area = 2 × 3.14 × 9 × 15 = 847.8 centimeters^2

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Answer:

[tex]\sqrt{20}[/tex]

Step-by-step explanation:

the answer would be between [tex]\sqrt{16}[/tex], which is 4, and [tex]\sqrt{25}[/tex], which is 5.

4.47 i.e., [tex]\sqrt{20}[/tex] is the irrational number between 4 & 5.

Irrational number, any real number that cannot be expressed as the quotient of two integers—that is, p/q, where p and q are both integers. For example, there is no number among integers and fractions that equals Square root of [tex]\sqrt{2}[/tex].

Given irrational numbers

[tex]\sqrt{12} = 3.46[/tex]

[tex]\sqrt{20} =4.47[/tex]

[tex]\sqrt{34}=5.83[/tex]

[tex]\sqrt{80} =8.94[/tex]

Therefore, 4.47 i.e., [tex]\sqrt{20}[/tex] is between 4 & 5.

Hence, correct option is B.

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The annual cost if she chooses to make monthly payment is $1920 and money saved is $170

The given parameters that will help us to determine the incomes are

a)  Annual cost if she chooses to make one annual monthly installment is $1920

b) Money saved is she makes one annual payment is $(1920-1750)= $170

3) Volume of gas = 60 L

Efficiency rating = 10.2km/L

Average drive = Volume / Efficiency = 60/10.2 = 5.9km/L

b) Cost of gas = 149.9⊄⊄/L

Number of liters =60

= 60*149.9

=$8994

c) Constant gas price = $149.9⊄/L

Number of weeks /year = 52

=52*149.9

= $7795

4) Morgan pay $15/hr

Number of hours per week = 40

Gross monthly income = 40*15*4

=$2400

b)   Monthly income $2400

Amount left after deduction = 85%

=0.85*2400

Net income = $2040

In conclusion Mindley receives $1920 monthly and saves $170

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Answer:

To color the hair of one client takes 55 minutes

To give a client a haircut takes 72-55 which is 17

Step-by-step explanation:

i hope this helps ;)

Answer:

42 goals

Step-by-step explanation:

Step-by-step explanation:

note that 7⁰ is always 1.

[tex] \frac{ {7}^{ - 10} }{ {7}^{4} } \\ \\ \frac{1}{ {7}^{14} } \\ \\ {7}^{ - 14} [/tex]

the answer is shown above

Answer:

Last option, [tex]\frac{1}{7^{14} }[/tex]

Step-by-step explanation:

[tex]\frac{7^{-10} }{(7^{4} )(7^{0} )}[/tex]=>[tex]\frac{7^{-10} }{7^{4+0}}[/tex]=>[tex]\frac{7^{-10} }{7^{4}}[/tex]=>[tex]7^{-10-4}[/tex]=>[tex]7^{-14}[/tex]=>[tex]\frac{1}{7^{14} }[/tex]

So on solving the provided question, we can say that the value of k is 4, in this linear equation question.

A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.

1/2k +6= 4k-8

Multiplying both sides by 2,

k+12= 8k-16

7k=28

Therefore,

       k=4

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Answer: A)

[tex]A) The ~ low ~ temperature ~ in ~Edmonton ~was\\\~greater ~than~the ~low ~temperature~ in~ fort~ Nelson[/tex]

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hope it helps...

have a great day!!!

Answer:

  Line D

Step-by-step explanation:

You want to know which line is not parallel or perpendicular to the other given lines:

 A: 2y -x = 2

  B: 4y = -8x -4

  C: y = -2x +4

  D: 5y = 10x +15

We can write each of these equations in standard form to make it easier to compare them. That form is ...

  ax +by = c

where a > 0 and a, b, c are mutually prime.

The equations are ...

  A: x -2y = -2

  B: 2x +y = -1

  C: 2x +y = 4

  D: 2x -y = -3

Equations with the same coefficients of x and y will be parallel:

  2x +y = -1  and  2x +y = 4 . . . . lines B and C

Equations with coefficients that have been swapped, with one negated, will be perpendicular:

  x -2y = -2  and  2x +y = -1 . . . . lines A and B

Line A is perpendicular to parallel lines B and C, so line D is the odd one out.

  Line D doesn't fit.

Answer:

noseee  

Step-by-step explanation:

Answer:

Step-by-step explanation:

in the first triangle an angle is 60 degrees so it means that the triangle is half of a equilateral triangle.

in this case the base leg is half of the hypotenuse.

x = 8

in the second triangle we have an angle that is 45 degrees and this means that the triangle has two congruent legs

x = 10

Answer:

27

Step-by-step explanation:

(1/3) * x = 9

x = 9 * (3/1)

x = 27

Hope this helps!

Answer:

let the number be x

1/3*x=9

x/3=9

x=9*3

x=27

Step-by-step explanation:

therefore the number is 27

false

it is a decimal not a fraction

Step-by-step explanation:

that is a college level question ? and you don't know the answer ?

that is basic, basic, basic ...

you go on the x-axis to -2.

from there you go either up or down and look at what y-value are you crossing the functional curve.

it is -1.

so, the "output" for x = -2 is y = -1. or simply -1.

Answer:

4

Step-by-step explanation:

You divide 125 by 40 and that will give you 3 1/8. In the question, it says to use whole numbers and you'd have to go up, giving you 4.

It takes you together 6.67 minutes to paint 50 square feet, as you have to consider that the together rate is the sum of the separate rates.

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

here, we have,

The together rate is the sum of the separate rates.

In this question:

Sam's rate is 1/10 for 25 square feet, so 1/20 for 50 square feet.

Your's rate is 1/5 for 25 square feet, so 1/10 for 50 square feet.

Together rate:

1/x = 1/20 + 1/10

or, 1/x = 3/20

or, x = 20/3

or, x = 6.67

so, we get,

It takes you together 6.67 minutes to paint 50 square feet, as you have to consider that the together rate is the sum of the separate rates.

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complete question:

Sam and you are going to paint your room together.

Sam takes 10 minutes to paint 25 square feet.

It takes you 5 minutes to paint 25 square feet.

Sam says, "If we paint together, then it will take 15

minutes for us to cover 50 square feet."

Give an explanation to convince Sam that she is

incorrect

Answer:

SA = 2520 ft^2

Step-by-step explanation:

a = 21ft

b = 29ft

c = 20ft

h = 30ft

SA = 2[tex]A_{B}[/tex] + (a+b+c)h

[tex]A_{B}[/tex] = s(s﹣a)(s﹣b)(s﹣c)

s = [tex]\frac{a + b + c}{2}[/tex]

SA= ah + bh + ch + [tex]\frac{1}{2}[/tex] [tex]\sqrt{-a^4 + 2(ab)^2 + 2(ac)^2 - b^4 + 2(bc)^2 - c4}[/tex]

SA= (21 * 30) + (29 * 30) + (20 * 30) +

       [tex]\frac{1}{2}[/tex] [tex]\sqrt{-(21)^4 + 2(21 * 29)^2 + 2(21 * 20)^2 - (29)^4 + 2(29 * 20)^2 - (20)^4}[/tex]

SA = 2520 ft^2

Answer:

It is not possible to find the greatest common factor of 3x.

Step-by-step explanation:

The greatest common factor (GCF) of a set of numbers is the largest number that divides into all of the numbers in the set.

In this case, you have provided a variable, 3x, and not a set of numbers. Therefore, it is not possible to find the greatest common factor of 3x.

If you have a set of numbers that you would like to find the greatest common factor of, please let me know and I will be happy to help.