Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
5, 8, 11, ...

Answer: 16/77

Step-by-step explanation: Here we're asked to evaluate ab

given that a = 4/7 and b = 4/11.

So we start by plugging in our given

values for a and b into the problem.

If we do this, ab would then be (4/7)(4/11).

When multiplying two fractions together, we multiply across

the numerator and we also multiply across the denominators.

So (4/7)(4/11) is 16/77 which is our final answer.

Answer:

16/77

Step-by-step explanation:

When two numbers are close togtether, you want to multiply them.  Since it is ab, you multiply a and b.  

a= 4/7

b= 4/11

so, 4/7 times 4/11

When you multiply fractions, you multiply the numerators (the top number of a fraction) of the fractions together.  You also multiply the denominators(the bottom number) of the fractions together.

So, let's multiply the numerators first.

4 times 4 equals 16, so that is the new numerator

7 times 11 is 77, so that is the new denominator

Let's combine it into a fraction.  Numerator/denominator= 16/77

Sometimes, you will need to reduce.  Reducing meaning that you divide the fraction by a number so it can't be reduced/divided anymore.  Until a fraction is at it's simplest form.  

Example: 2/4 reduces to 1/2 because both the numerator, 2, and the denominator, 4, can be reduced by 2.  As you can see, 1/2 is at it's simplest form and cannot be reduced any further.

Answer:

The Confidence Interval = (66.1476, 68.8524)

Step-by-step explanation:

The formula for confidence interval of a normal distribution is given as:

Confidence Interval = μ ± z × σ/√n

Where:

μ is the mean height = 67.5

σ is the standard deviation = 2.1 inches

n is the number of samples = 16 bookcases

z = 99% confidence interval = 2.576

Confidence Interval = 67.5 ± 2.576 ×2.1√16

= 67.5 ± 2.576 × 2.1/4

Confidence Interval = 67.5 ± 1.3524

67.5 - 1.3524 = 68.8524

67.5 + 1.3524 = 66.1476

Therefore, the Confidence Interval = (66.1476, 68.8524)

Answer:

2.85

Step-by-step explanation:

Answer:

Duval got a hit 30% of the time during the season. The total number of hits was 24. 24/80 is 0.30. Multiply by 100 to obtain the percentage. 0.30*100 = 30%.

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

● 64x3 − 336x2y + 588xy2 − 343y3

● (4x)^3 - 3 × 112x^2y + 3 × 196xy^2 - (7y)^3

● (4x)^2 - 3× 16x^2 × y +3× 4x×49y^2-(7y)^3

● (4x-7y)^3

Answer:

9, 8, 7

Step-by-step explanation:

This is the rank of the cards from highest to lowest and the terms are:

So the next 3 terms are 9, 8, 7

Answer:

[tex]\Huge \boxed{y=-1}[/tex]

[tex]\rule[250]{250}{3}[/tex]

Step-by-step explanation:

[tex]y=14-0.5x[/tex]

The input x is 30. Switching x with 30.

[tex]y=14-0.5(30)[/tex]

Solving for y.

[tex]y=14-15[/tex]

[tex]y=-1[/tex]

[tex]\rule[250]{250}{3}[/tex]

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{y = - 1}}}}}[/tex]

Step-by-step explanation:

Given, Value of x is 30

To find : Value of y

[tex] \sf{y = 14 - 0.5x}[/tex]

Plug the value of x

⇒[tex] \sf{y = 14 - 0.5 \times 30}[/tex]

Multiply the numbers : 0.5 and 30

⇒[tex] \sf{y = 14 - 15}[/tex]

Subtract 15 from 14

⇒[tex] \sf{y = - 1}[/tex]

Hope I helped!

Best regards!!

Answer:

First: Subtract each side to get y-b=mx

Secound:divide each side by x to get y-b/x=m

Third:we divide both sides b x to get m by itself.

(y-b)/x=(mx)/x

(y-b)/x= m

Therefore m is equal to(y-b)/x

Answer/Step-by-step explanation:

We are told that:

Area of the given square = 1 square units

2 of the small triangles will make up the square when joined together.

Since area of the square is 1 square units, area of the 2 small triangles = 1 square units.

We are also told that 2 of the small triangle will also make up the medium triangle when joined together.

Therefore, since area of 2 small triangles = area of the square = 1 square units, the medium triangle would also have an area of 1 square units.

1. Area of the small triangle is ½ square units. I know this because 2 small triangles = area of the square = 1 square units.

2. The area of the medium triangle is 1 square units. I know this because 2 small triangles make up the medium triangle, and 1 small triangle has an area of ½ square units.

3. The area of the large triangle is 2 square units. I know this because if the medium triangle is made up of 2 small triangles, then 4 small triangles will make up the big triangle, or 2 medium triangle will make up the big triangle.

Greetings from Brasil....

Remember that F(X) = Y

Looking at the graph we can conclude that:

Y > 0 when X < - 4 (up until -∞)

Y = 0 when X = - 4

Y < 0 when X > - 4 (up until +∞)

So choose:

[F(X) = Y]  > 0 over the interval ]-∞; -4[

(last option)

Hello, please consider the following.

[tex]{2}^{x + 2 } = 9 \times( {2}^{x} ) - 2\\\\2^x \cdot 2^2=9\cdot 2^x-2\\\\(9-4)2^x = 2\\\\2^x=\dfrac{2}{5}\\\\\text{We take the ln.}\\\\xln(2)=ln(2)-ln(5)\\\\x=\dfrac{ln(2)-ln(5)}{ln(2)}=-1.32193...[/tex]

Let me know if you need further explanation.

Thank you

The correct answer is 17: 30

Explanation:

The purpose of a ratio is to express the relationship between two elements in terms of quantities. For example, if there are 5 oranges and 4 lemons the ratio is 5 to 4. Additionally, this relationship between the quantities of two different things can be expressed as a fraction, by using a colon (:) or by using the word "to." In the last two cases, the colon or word "to" separate the two amounts compared.

In the case presented, the total of days observed was 30 days (17 days with rain + 13 days with no rain) and the ratio of rainy days to the total of days can be expressed as 17:30, [tex]\frac{17}{30}[/tex] or as 17 to 30, considering there were 17 rainy days out of a total of 30 days.

Answer:

Step-by-step explanation:

if f(x) = 1/(x+1)

the f(f(x)) means, wherever you see an "x" in the function.

plug in the function again.

so plug in "1/(x+1)" wherever you see an x

so...

1/(f(x) + 1)  

1/((1/(x+1))+1)

now you're going to need to fix the denominator.  

at the moment... this is what you're denominator looks like.

1/(x+1) + 1

so, combine them. find the LCD

LCD = x + 1

1/(x + 1) + x + 1 / x + 1

x + 2 / x + 1

that's your new denominator.

f(f(x)) = 1 / (x + 2 / x + 1)

because it's 1 / something. all you need to do is get the reciprocal of that "something"

so, what's the reciprocal of x + 2 / x + 1?

x + 1 / x + 2

that's your final answer.

next one.

remember, same deal, everywhere you see an "x" plug in the original function.

f(x) = x/(x+1)

f(f(x)) = f(x) / ( f(x) + 1 )  

= [x / (x + 1) ] / [ (x / (x + 1) ) + 1 ]

so, right now this is your denominator.

(x / x + 1) + 1

combine, find the LCD, LCD = x + 1

x / x + 1  +  x + 1 / x + 1

2x + 1 / x + 1

that's your new denominator.

so plug it in.  

[x / (x + 1) ] / [2x + 1 / x + 1]

this is a little more complicated. but remember, whenever you divide by a fraction, it's the same as multiplying by it's reciprocal

so...

rewrite it like this.

x / (x + 1) * (x + 1) / 2x + 1

the x + 1 cancel out.

and you're left with

x / 2x + 1

hope that helps!

Answer:

Hey there!

a. 2x+5=30

b. 1/3x-8=x+1

c. 3=21/(x+5)

d. 3x-5=46

For the picture

a. y=7x+60

b. y=5x+120

c. 7x+60=5x+120

Let me know if this helps :)

Answer:

Step-by-step explanation:

That depends upon what your goal is.  State your goal specifically.

If the instructions say to "solve the following equation for x," then your first move should be to add 4 to both sides.  Associative property

Answer:

sinx = perpendicular/hypotenuse

sinx = 12/16

sinx = 3/4

x = arcsin 3/4

x = 48.6 degrees (using calculator)

Answer:

f(7)=10-14=-4

Answer=-4

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

f(x)=10-2x

Let x = 7

f(7) = 10 -2(7)

     = 10 -14

     = -4

Answer: -5

Step-by-step explanation: 2 + -11 = -9 and subtract -4 from it since it’s the sum of 2 + -6. -9 - -4 is -9 + 4 so -5

Answer:

-5

Step-by-step explanation:

2+-11=-9

2+-6=-4

-9- -4=-5

The sum of the positive divisors of 448 will be 1,016.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The number 448 can be divided by 14 positive divisors (12 are even, and 2 are odd). The sum of these divisors is 1,016, the average is 72.,571.

Therefore, the sum of the positive divisors of 448 will be 1,016.

To know more about expression follow

https://brainly.com/question/723406

#SPJ2

Answer:  see below

Step-by-step explanation:

The coordinates on the Unit Circle are (cos, sin). Since we are focused on cosine, we only need to focus on the left side of the coordinate. The cosine value (left side) will be the y-value of the function y = cos x

Use the quadrangles (angles on the axes) to represent the x-values of the function y = cos x.

Quadrangles are: 0°, 90°, 180°, 270°, 360°  (360° = 0°)

Together, the coordinates will be as follow:

[tex]\boxed{\begin{array}{c||c|c||c}\underline{(cos,sin)}&\underline{x=angle}&\underline{y=cosx}&\underline{\quad (x,y)\quad}\\(1,0)&0^o&1&(0^o,1)\\(0,1)&90^o&0&(90^o,0)\\(-1,0)&180^o&-1&(180^o,-1)\\(0,-1)&270^o&0&(270^o,0)\\(1,0)&360^o&1&(360^o,1)\end{array}}[/tex]

Answer:

Solving for the variable, x: [tex]x = \frac{1}{3}y + \frac{2}{3}[/tex]

Solving for the variable, y: [tex]y = 3x - 2[/tex]

Step-by-step explanation:

IF:

You are solving for the variable, x. Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x. First, follow PEMDAS, then do the opposite of PEMDAS.

First, distribute 2 to all terms within the parenthesis:

(3x - y = 2) * 2 = (6x - 2y = 4)

Next, solve for x. Add 2y to both sides:

6x - 2y (+2y) = 4 (+2y)

6x = 4 + 2y

Next, divide 6 from both sides:

(6x)/6 = (4 + 2y)/6

x = (2y)/6 + (4)/6

x = (1/3)y + (2/3)

IF:

You are solving for the variable, y. Note the equal sign, what you do to one side, you do to the other. Isolate the variable, y. First, follow PEMDAS, then do the opposite of PEMDAS.

First, distribute 2 to all terms within the parenthesis:

(3x - y = 2) * 2 = (6x - 2y = 4)

Next, solve for  y. Subtract 6x from both sides:

6x - 2y = 4

6x (-6x) - 2y = 4 (-6x)

-2y = -6x + 4

Then, divide -2 from both sides:

(-2y)/-2 = (-6x + 4)/-2

y = (-6x)/-2 + (4)/-2

y = 3x + (-2)

y = 3x - 2

~

Answer:

Area of the rectangular pen is: [tex]18 \,x-x^2[/tex]

Step-by-step explanation:

We need to specify that the perimeter of the rectangular area of side x adds to the amount of fence Pablo has (36 feet). Recall as well that the opposite sides of a rectangle are equal, so if there is a side of length x, there must be another one of this size as well (a total of 2 x in the perimeter),let's assume that the perpendicular sides to x are of length y, then:

Perimeter= 2 x + 2 y = 36

so, 2 (x+y)  = 36   then  (x+y) = 18

and therefore the side y should be:

y = 18 - x

Now we can write the formula for representing the area of the rectangle (product of both quantities: x * y

[tex]Area=x\,*\,y = x\,(18-x) =18 \,x-x^2[/tex]

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{2 {x}^{2} - 13x + 20}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{(x - 4)(2x - 5)}[/tex]

Use the distributive property to multiply each term of the first binomial by each term of the second binomial

⇒[tex] \sf{x(2x - 5) - 4(2x - 5)}[/tex]

⇒[tex] \sf{2 {x}^{2} - 5x - 8x + 20}[/tex]

Collect like terms

⇒[tex] \sf{2 {x}^{2} - 13x + 20}[/tex]

Hope I helped!

Best regards!!

Answer:

2x² - 13x + 20

Step-by-step explanation:

(x - 4)(2x - 5)

x(2x - 5) - 4(2x - 5)

Opening the brackets gives;

2x² - 5x - 8x + 20

Simplifying this equation gives;

2x² - 13x + 20

Answer:

Yes.

(20-(-16)) = 20 + 16

20 + 16 = 36 thus

(20-(-16)) = 36

Step-by-step explanation:

With your equation, I'm pretty sure you are trying to determine whether or not this equation is true. Let's start with the first part.

(20-(-16))

Let's break it down.

20 - -16

Whenever a number is like that, it becomes a positive. (I don't really remember what its called, but it flips in negativity)

20 + 16

20 + 16 = 36.

36 = (20-(-16))

Answer:

I tried to answer but I still would like to know what doesn't make sense.

Considering the identity:

[tex]\sec^2\theta-\tan^2\theta=1 \implies |\sec\theta|\geq1[/tex]

[tex]$\forall\;\theta\in\mathbb{R}-\{(2n+1)\frac{\pi}{2}, n\in\mathbb{Z} \}$[/tex]

The identity is true whenever both sides are defined. It is not supposed to hold the values when we have division by zero, because it is undefined.

If the value doesn't make sense, it is probably not a function, or it is undefined by the given value of [tex]x[/tex].

Let's go back to the definition of function again:

A function relates a set of inputs and a set of allowable outputs where each input is related to only one output. It basically defines the relation of ordered pairs.

Hope it helped you a bit.

Answer:

D . 9 .1/13

Step-by-step explanation:

[tex]9\div 13 = \frac{9}{13} \\\\9\cdot \frac{1}{13}\\\\=\frac{9}{1}\cdot \frac{1}{13}\\\\=\frac{9\cdot \:1}{1\cdot \:13}\\\\=\frac{9}{13}[/tex]

Answer:

A) Mean cost per game= $202.8

B). Range= $104

C). Variance= 1182.96

D).Standard deviation=34.39

E). $1014 per person

Step-by-step explanation:

The data of the cost

= $266, $201, $197, $188, $162

A). Mean cost per game

Mean = (266+201+197+188+162)/5

Mean = 1014/5

Mean = 202.8

Mean cost per game= $202.8

B) range = highest value- Lowest value

Range= 266-162

Range= $104

C) variance= ((266-202.8)²+(201-202.8)²+(197-202.8)²+(188-202.8)²+(162-202.8)²)/5

Variance=(3994.24+3.24+33.64+219.04+1664.64)/5

Variance= 5194.8/5

Variance= 1182.96

D). Standard deviation= √variance

Standard deviation= √1182.96

Standard deviation=34.39

E).Mean cost per person

= Mean *5

= 202.8 *5

= $1014 per person

Answer:

[tex]\sqrt[3]{4(x-3)} /2[/tex]

Step-by-step explanation: