What is the next fraction in this sequence? Simplify your answer. 3/20 , 3 /10 , 9 /20, 3/ 5 , ___ .

Answer:

B

Step-by-step explanation:

Im almost sure it B but if not then its for sure D.

The equation that represents the function g(x) is [tex]g(x)=9cos(x-\frac{\pi }{3} )+7[/tex].

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Translation means the displacement of a figure or a shape from one place to another. In translation, a figure can move upward, downward, right, left or anywhere in the coordinate system. In translation, only the position of the object changes, its size remains the same.

The function is given as

[tex]f(x)=9cos(x-\frac{\pi }{2} )+3[/tex]

The function f(x) is first translated [tex]\frac{\pi }{6}[/tex] units left.

The rule of translation is:

[tex](x,y)=(x+\frac{\pi }{6},y)[/tex]

So, we have:

[tex]f'(x)=9cos(x+\frac{\pi }{6} -\frac{\pi }{2} )+3[/tex]

Take LCM

[tex]f'(x)=9cos(x+\frac{\pi-3\pi }{6} )+3[/tex]

[tex]f'(x)=9cos(x-\frac{2\pi }{6} )+3[/tex]

[tex]f'(x)=9cos(x-\frac{\pi }{3} )+3[/tex]

Next, translate f'(x) 4 units up.

The rule of this translation is:

[tex](x,y)=(x,y+4)[/tex]

So, we have:

[tex]g(x)=9cos(x-\frac{\pi }{3} )+3+4[/tex]

[tex]g(x)=9cos(x-\frac{\pi }{3} )+7[/tex]

Hence, the equation that represents the function g(x) is [tex]g(x)=9cos(x-\frac{\pi }{3} )+7[/tex].

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Answer:

The mean and SD will change

The median is a better measure of the center since it will not change in this case

Step-by-step explanation:

Given that the value 100 was changed to 15, what will happen is that the value of the mean will decrease since there is a lower total value now. This will consequently decrease the value of the standard deviation too.

Yes, the median will be a better choice

This is because, by changing the value of 100 to 15, the value of the median stays the same and thus the previous information would not be changed if the median we used .

Answer:

-2

Step-by-step explanation:

-2+5=3

Answer:

[tex] \huge{ \boxed{ \bold{ \text{7x + 9}}}}[/tex]

Step-by-step explanation:

[tex] \text{5x + 4 + 2x + 5}[/tex]

[tex] \text{Combine \: like \: terms} : [/tex]

[tex] \text{Like \: terms \: are \: those \: which \: have \: the \: same \: base.}[/tex]

[tex] ➝ \: \text{5x + 2x + 4 + 5}[/tex]

➝ [tex] \text{ 7x + 4 + 5}[/tex]

[tex] \text{Add \: the \: numbers : 4 \: and \: 5}[/tex]

[tex] ➝ \: \text{7x + 9}[/tex]

[tex] \text{Hope \: I \: helped}[/tex]!

[tex] \text{Best \: regards}[/tex]!

~[tex] \mathfrak{TheAnimeGirl}[/tex]

Answer:

7x + 9

Step-by-step explanation:

Combine like terms, means put the ones that have something in common together; in this case they are the terms with an 'x' value, and a regular numeric value.

5x+2x = 7x

5+4 = 9

therefore:

7x+9  

Answer:

With? I dont see an image if you attached one

Step-by-step explanation:

Answer:

12cups=96oz.

Step-by-step explanation:

multiply the volume value by 8

12 oz equals 1.50 cups. 1 ounce is equivalent to 0.125 cups, and there are 1.50 cups in 12 ounces.

Answer:

Unit rate miles per day is, 3

Step-by-step explanation:

Unit rate are defined as the rate are expressed as quantity of 1 such that 2 miles per hour or 5 km per hour.

As per the given statement: A construction crew built 1/2 miles of road in 1/6 days

by unit rate definition;

After substituting the given values we have

⇒  

or

Therefore, unit rate miles per day is, 3

Step-by-step explanation:

hhhthhg

Answer:

the answer is B

Step-by-step explanation:

You can automatically eliminate C and D because it is not a negative and the parallel is a positive number. Then you can eliminate A because it is not a decimal. To check your work you but 7 in for X and you will get 74°

Answer:

3.15 10^-4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hope this helps! <3

Answer: Standard Form

Step-by-step explanation:

In the slope intercept form, you can only solve for one equation at a time.

Ex: y = -2.5x + 15

but when using standard you can easly get the answer for both ticket prices

Ex: 25x + 10y = 150

5r + 2g = 30 is the linear equation that best describes the scenario.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Given this, Hanna will spend $150 on music festival tickets. Reserved seat tickets cost $25 and general admission tickets cost $10.

Let "r" be the Number of reserved tickets she bought

and "g" be the number of  general admission tickets she bought

Money spent od reserved ticket = 25 * r

Money spent in general tickets = 10 *g

Since she totals spent 150$

Thus, the equation will be

25r + 10g = 150

Divide by 5 into both the sides

5r + 2g = 30

therefore, The linear equation that represents the given situation is 5r + 2g = 30.

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Answer:

-0.39794000867

Step-by-step explanation:

This is the table in which we can see the values of two squared, two cubed, and so on. This is an operation in mathematics, known as exponentiation. If we look at the numbers at the bottom line, we can try to find the power value to which 2 must be raised to get this number. For example, to get 16, it is necessary to raise two to the fourth power. And to get a 64, you need to raise two to the sixth power. Also this is totally the answer

Answer:

1

Step-by-step explanation:

[tex]\frac{log_{10}(2) }{log_{10}(4)-log_{10}(2) }[/tex]

[tex]\frac{log_{10}(2)}{2log_{10}(2)-log_{10}(2) }[/tex]

Add similar elements [tex]\frac{log_{10}(2) }{log_{10}(2) }[/tex]

Apply rule [tex]\frac{a}{a}=1[/tex]

=1

Answer:

y= -(x-4)^2

Step-by-step explanation:

y=X^2 is the parent function

The new graph is reflected and shifted to the right 4 units

y= -(x-4)² function represents the dotted graph

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph

y=X² is the parent function

Reflections of graphs involve reflecting a graph over a specific line. Reflecting functions are functions whose graphs are reflections of each other.

The new graph is reflected and shifted to the right 4 units

y= -(x-4)²

Hence, y= -(x-4)² function represents the dotted graph

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Answer:

12

Step-by-step explanation:

Answer:

Ah thank you, you too from me.

Answer:

yes

Step-by-step explanation:

[tex]\boxed{I\; would\; say\; an\; animal\; that\; was\; thought\; to\; be\; extinct.}[/tex]    

≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈

The reason i say this is because i don't really want to run into something that i don't know much about. I do know quite a bit about extinct animals more than i do aliens. So, that's my reasoning.

≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈

[tex]\boxed{Hope\;i\;helped!}\\\\\boxed{Thanks,\;AnimeBrainly}[/tex]

The slope is 0, or answer choice c.

Answer:

It's dividing by 3 everytime, so 1/3

Step-by-step explanation:

Answer:

3.90993025975

Step-by-step explanation:

Answer:

Y = 10

Step-by-step explanation:

As, Y / X = 125/25

125/25 = 5

Therefore, y = 5x

So when x = 2

Y = 5x

So, Y = 5x2

Therefore, Y = 10

[y] will be equivalent to 10, if [x] is equal to 2

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

y = mx also represents direct proportionality. We can write [m] as -

m = y/x

OR

y₁/x₁ = y₂/x₂

Given is the value of [y] varies directly with [x] and y = 125 when x = 25.

Using the formula for direct proportionality -

y₁/x₁ = y₂/x₂

125/25 = y₂/2

y₂ = (125 x 2)/25

y₂ = 5 x 2

y₂ = 10

Therefore, [y] will be equivalent to 10, if [x] is equal to 2

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Answer:

Step-by-step explanation:

If she has 84 candles and 48 holders, we can write out the factors of both values as shown

For candles

84 = 2×2×3×7

84 = 12×7

For 48

48 = 2×2×2×2×3

48 = (2×2)×(2×2×3)

48 = 4×12

48 = 12×4

From both factors, we can are that 12 common to both of them. This means that the maximum number of gift boxes Ariana can pack is 12

The other factors will give the amount of scented candles and candle holders that each box will have. This means that each box will have 7scented candles and 4 holders.

Answer:

[tex]Volume = 8m^3[/tex]

Step-by-step explanation:

Given

[tex]Cubes = 8[/tex]

[tex]Length = m[/tex] for each

Required

Determine how much all cubes can hold

First, we need to determine the volume of each.

[tex]Volume = m * m * m[/tex]

[tex]Volume = m^3[/tex]

For the 8 cubes, we have:

[tex]Volume = 8 * Volume\ of\ 1[/tex]

[tex]Volume = 8 * m^3[/tex]

[tex]Volume = 8m^3[/tex]

Answer:

[tex]Depth = 14[/tex]

Step-by-step explanation:

Given

[tex]Length = 18.5cm[/tex]

[tex]Width = 15cm[/tex]

[tex]Volume = 3885cm^3[/tex]

Required

Determine the deep of the aquarium

Volume is calculated as thus:

[tex]Volume = Length * Width * Depth[/tex]

Substitute values for Volume, Length and Width

[tex]3885 = 18.5 * 15 * Depth[/tex]

[tex]3885 = 277.5 * Depth[/tex]

Solve for Depth

[tex]Depth = 3885/277.5[/tex]

[tex]Depth = 14[/tex]

Hence;

the depth is 14cm

Answer:

14

Step-by-step explanation:

Got it right in Khan

Answer:

y = 4x + 6

Step-by-step explanation:

Turn the equation we are given into slope-intercept form.

y - 5 = -1/4(x + 8)

y - 5 = -1/4x - 2

y = -1/4x + 3

The slope of a perpendicular line is the opposite reciprocal of the original line.

-1/4 -> 4/1 -> 4

Find the new y-intercept using the point given.

y = 4x + b

2 = 4(-1) + b

2 = -4 + b

6 = b

Fill in everything we solved for.

y = 4x + 6

Best of Luck!

Answer: A. 5√2

Apply the radical rule: √xy = √x·√y

√50 = √25·2 = √25·√2 = 5√2

∴ √50 = 5√2.

Answer:

here is a hint

Step-by-step explanation:

Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).

Compare slope of an equation and slope of a line on graph and compare y-intercepts.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.

For linear equation,

Compare slope of an equation and slope of a line on graph and compare y-intercepts.

Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).

Therefore, compare slope of an equation and slope of a line on graph and compare y-intercepts.

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Answer:

30%

Step-by-step explanation:

To be able to calculate the percent of increase between two numbers, you have to divide the increase by the initial number and multiply by 100:

Increase= 1,500

Initial number=5,000

Percent of increase=(1,500/5,000)*100

Percent of increase=0.3*100

Percent of increase=30%

According to this, the answer is that the percent of increase was 30%.

Answer:

30%

Step-by-step explanation: