Dragon and lion dances are performed in a parade on Chinese New Year. The
dragon costume is 112 feet long. This is 8 times as long as the lion costume.
Which equation can be used to find the length of the lion costume?

The mean could be used to describe a data set by itself, while interquartile range would almost never be used to describe a data set by itself.

These are operations which are used to summarize certain characteristics a set of data has.

Mean and range deals with the full set of data while interquartile range measures just the middle half of the data and is denoted as option A.

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By solving a quadratic equation we will see that the egg will hit the ground after 1.58 seconds.

Here we know that the initial height of the egg is 40ft, so the equation for the height will be:

[tex]h(t) = -16*t^2 + 40[/tex]

The egg will hit the ground when h(t) = 0, so we need to solve the quadratic equation:

[tex]h(t) = -16*t^2 + 40 = 0\\\\16t^2 = 40\\\\t^2 = 40/16\\\\t = \sqrt{40/16} = 1.58[/tex]

This means that the egg will hit the ground after 1.58 seconds.

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XD

Answer:

[tex]\large{\boxed{\sf 2x+h-4}}[/tex]

Explanation:

f(x) = x² - 4x + 3

f(x + h) = (x + h)² - 4(x + h) + 3

Solving Steps:

[tex]\rightarrow \sf \dfrac{(x + h)^2 - 4(x + h) + 3 - (x^2 - 4x + 3)}{h}[/tex]

[tex]\rightarrow \sf \dfrac{x^2 + 2xh + h^2 - 4x -4h+3-x^2+4x-3}{h}[/tex]

[tex]\sf \rightarrow \dfrac{2xh+h^2-4h}{h}[/tex]

[tex]\rightarrow \sf 2x+h-4[/tex]

Put values

[tex]\\ \rm\Rrightarrow \dfrac{x^2+2xh+h^2-4x-4h+3-x^2+4x-3}{h}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{2xh+h^2-4h}{h}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{h(2x+h-4)}{h}[/tex]

[tex]\\ \rm\Rrightarrow 2x+h-4[/tex]

The amount of money that he should have at the closing of December should be $227.69.

The correct answer choice is option C

Given that,

And, it plans to save 10% more as compared to the last month.

The amount of money that he should have at the closing of December can be solved using the concept of geometric sequence.

First term, a = $24

Common ratio, r = 1.10

Number of terms, n = 7

So,

Sn = a1×(r^n -1)/(r -1)

S7 = 24×(1.10^7 -1)/(1.10 -1)

= (24×0.948717) / 0.10

= $227.69

The total amount Cory will have saved by the end of December is approximately $227.69

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Answer:

  (c)  $227.69

Step-by-step explanation:

The amounts Cory will be adding to his account comprise a geometric series with first term $24 and each successive term 10% more, or 1.10 times the previous term. The total amount Cory will have saved by the end of December is the sum of 7 terms of the series.

__

The sum of ...

  24 +1.10×24 +1.10²×24 +... +1.10⁶×24

is given by the formula ...

  Sn = a1×(r^n -1)/(r -1)

where a1 is the first term (24), and r is the common ratio (1.10).

For the series representing Cory's deposits, we have ...

  S7 = 24×(1.10^7 -1)/(1.10 -1) = 24×0.948717/0.10 ≈ 227.69

At the end of December, Cory will have about $227.69.

_____

Additional comment

A financial calculator or app can also tell you the value of an annuity with a 10% increase per period.

Answer:

2/

For all values of x,

f(x)=2x-3

and

a) Find fg(x).

Simplify and give your answer in the form ax² + b

b) Find gf(x).

Simplify and give your answer in the form ax² + bx + c

g(x) = x² + 1

Step-by-step explanation:

The rectangular coordinates will be (2.999, -0.1239)

The Cartesian Coordinate system is not sufficient to locate points in a plane , therefore some other systems like polar coordinates , spherical coordinates , cylindrical coordinate systems are used.

Polar coordinates are given in the question and we need to determine rectangular coordinates for the same.

The equations used to convert from polar coordinates to rectangular coordinates.

x=rcosθ

y=rsinθ

z=z

For the polar coordinates

(3-√2.37)

r = 3

[tex]\rm \theta \\[/tex] = -√2.37

x = 3cos (-√2.37)

x = 3 *0.999

x =2.999

y = 3 sin.(-√2.37)

y = 3*(-0.0413)

y = -0.1239

Therefore the rectangular coordinates will be (2.999, -0.1239)

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Answer:

1) 33.333...%

2) 33.333...%

Step-by-step explanation:

4 students out of 12 are wearing all color.

4 students out of 12 are wearing blue shoes.

Answer:

358 , 1790

Step-by-step explanation:

The relative frequencies for the given table are:

The relative frequency of a given element out of a set, is given by the quotient between the number of that element and the total number of the set.

Here we can see that the total number of moose is:

52 + 34 + 58 + 28 = 172

There are 52 male moose, then the relative frequency for male moose is:

M = 52/172 = 26/86 = 13/44

There are 34 female moose, then the relative frequency is:

F = 34/172 = 17/86

There are 58 adult moose, so the relative frequency is:

A = 58/172 = 29/86

There are 28 baby moose, so the relative frequency is:

B = 28/172 = 14/86 = 7/43

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Answer:

F(0.75)= 3/2 sq. root 3

F(9)= 9

F(7)= 3 sq. root 7

b) x= +-1

x=+-4

x= +- 49/9

Answer:

Im not completely sure tho

Step-by-step explanation:

3.141529 I think so 3.14

The coordinates, to the nearest tenth, of the relative maximum of the graph is (-1.8,13.2)

The equation of the function is given as:

y = x^3 + x^2 – 6x + 5

Next, we plot the graph of the function (see attachment)

From the attached graph, we have the relative maximum to be at:

(x,y) = (-1.8,13.2)

Hence, the coordinates, to the nearest tenth, of the relative maximum of the graph is (-1.8,13.2)

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Ivan's annual earnings for this bond is $45.00

A bond is a pledge, made by a borrower to pay a loan taken back to the lender with an interest.

Ivan's annual interest earning would be :

= $1,000 x 4.5 %

= $45 per year

Hence, Ivan's annual earnings for this bond is $45.00

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Answer:

Need more info

Step-by-step explanation:

You're working with rates. It's relatively straight forward. Take miles per hour for instance. If you travel 60 miles in one hour, you're rate of speed is 60 miles per hour.

You haven't given any data in this example but the idea is the same. Let's say he transferred 10 songs in 5 minutes. That's means his rate is 10 songs per 5 minutes. You can change that to a fraction so it's easier to understand:

[tex]\frac{10 songs}{5minutes}[/tex]

Now just reduce the fraction and it becomes

[tex]\frac{2 songs}{1 minute}[/tex]

Also known as 2 songs per minute

Since the are of the first triangle is 12 cm², the area of the second triangle is 33.33 cm².

To answer the question, we need to know what similar triangles are

Similar triangles are triangles in which the ratio of their corresponding sides is constant.

Given that the corresponding sides of the two similar triangles are 3 cm and 5 cm respectively. Also, the area of the first triangle is 12 cm². We need to find the area of the second triangle.

Since the triangles are similar, we have that

(side of second triangle/side of first triangle)² = Area of second triangle/Area of first triangle

Area of second triangle = (side of second triangle/side of first triangle)² × Area of first triangle

= (5 cm/3 cm)² × 12 cm²

= 25/9 × 12 cm²

= 25/3 × 4 cm²

= 100 cm²/3

= 33.33 cm²

So, the area of the second triangle is 33.33 cm².

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The probability that a student is a female given that they have an A is; 2/7

From the given table, we see that;

Number of males that got A = 4

Number of males that did not get A = 8

Number of females that got A = 6

Number of females that did not get A = 3

The probability that a student is a female given that they have an A is;

P(Female|A) = 6/(4 + 8 + 6 + 3)

P(Female|A) = 6/21 = 2/7

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The following is an example of systematic random: D. Check only even page numbers.

Systematic sampling is a sampling method use my researcher in which the  researcher tend to choose or pick a group of people at periodical interval.

Based on the scenario give checking only even page numbers is an example of systematic random sampling.

Therefore the correct option is D.

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To find the number going to and from West is 165,000.

The number of bus passes from Southern services is 29,000.

East------------------- 80,000

North------------------- 124,000

South------------------- 61,000

West-------------------- 165,000

Total--------------------------- 430,000

To find the number going to and from West:

80,000 + 124,000 + 61,000 + x = 430,000

265,000 + x = 430,000

x = 430,000 - 265,000

x= 165,000.

Northern services-------------------- 43,000

Western services-------------------- 51,000

Eastern services---------------------- 35, 000

Southern services---------------------- 29,000

Total----------------------------------------------158,000

Let x be the unknown variable,

43,000 + 51,000 + 35,000 + x = 158,000

129,000 + x = 158,000

x= 158,000 - 129, 000

x= 29,0000

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Answer:

[tex]\mathsf {x = 76}[/tex]

Step-by-step explanation:

The given pair of angles lie on a line, hence they are classified as linear angles. They possess the property by which their sum is equal to 180°.

[tex]\textsf {Solving :}[/tex]

[tex]\implies \mathsf {x + 17 + 87 = 180}[/tex]

[tex]\implies \mathsf {x + 104 = 180}[/tex]

[tex]\implies \mathsf {x = 180 - 104}[/tex]

[tex]\implies \mathsf {x = 76}[/tex]

Answer:

q = ³√64

(cube root 64 )

explanation :

we have to find the value of q but it's given q³ so to find the value of only q we send ³ to other side and it turns into cube root

for example :

like when it's q² = 64 it will be q = ²√64

Answer:

0

Step-by-step explanation:

Since we're multiplying by 0, the entire product becomes 0.

Answer:

it's 0.

Step-by-step explanation:

3*3*3*3*3*3*3*3*8*8*0*8*8*9*8*6

= 0

there is a zero hidden . so it's zero.

Answer: 729

Step-by-step explanation:

[tex]\frac{1}{3^{-2} * 3^{-4} * (-1)^{2} }[/tex]

3^-2 = 1/9

3^-4 = 1/81

(-1)^2 = 1

1/(1/9 * 1/81 * 1)

1/ 1/729 = 729

The true statement for Chad graph is that:

A  coordinate plane is known to be a kind of  two-dimensional plane that is often created by two number lines of intersection.

Note that there is the horizontal number line known as  the x-axis and the  vertical number line also called the y-axis.

Looking at the question (Image attached), for every two offense, there is 4 defense.

So we can say that the proportion of  offense to defense is 1:2

Therefore, the correct  value or the graph is (1, 2), (2, 4), (3, 6), and (4, 8) as it doubles itself.

The true statement for Chad graph is that:

Therefore, option A is correct.

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Answer: A

Step-by-step explanation: I did the test and got it right

From the below graph option B is correct.

The graph of a function f is the set of all points in the plane of the form (x, f(x)).

It is also define as the graph of f to be the graph of the equation y = f(x).

Given,

Three different function for h(x)

[tex]\frac{1}{4}x -4 , x \leq 0\\ \\\frac{1}{3} x -3, 0 < x \leq 3\\\\\frac{1}{2} , x\geq 4[/tex]

From the above function,

x ≤ 0, the slope of the graph of h(x) is  [tex]\frac{1}{4}[/tex]

0 < x ≤ 3, the slope of the graph of h(x) is  [tex]\frac{1}{3}[/tex]

x ≥ 4, the slope of the graph of h(x) is  [tex]\frac{1}{2}[/tex]

As we progress from left to right,

The slope of h(x) increases  and the slope of the graph becomes steeper.

Therefore,

The graph starts at (4,0) and goes to the right.

Graph is missing in this question, So you might be referring to the one attached.

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Answer:it’s option 2

Step-by-step explanation:

Answer:

Anime is animation from japan

Answer:

m<6 = 90°

Step-by-step explanation:

If lines are perpendicular, the angles form by their intersection measure 90°.

Answer: m<6 = 90°

Based on the figure, correct statement provides enough information to conclude that line r is perpendicular to line p is,

⇒ m ∠6 = 90 degree

We have to given that,

Three lines r, n and p are shown in figure.

Now, We know that,

If a line is perpendicular to another line then it make a right angle in between them.

Hence, By given figure, correct statement provides enough information to conclude that line r is perpendicular to line p is,

⇒ m ∠6 = 90 degree

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