in the sketch below abc is not drawn to scale constuct abc next to its sketch below ​

Answer: p = 4s

Step-by-step explanation:

     The perimeter is the measurement around a shape's sides. In other words, if a square has four sides, we will add up all the sides to find the perimeter.

      Since a square's sides are all congruent, we can multiply the length of one side (s) by 4 to find the total perimeter (p). This becomes:

      p = 4s

The purchase price of a 5-year zero coupon bond will be $768.87.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

Let x be the price before 5 years.

If it is purchased today and has a face value of $1,000. Then we have

(1 + 0.046)(1 + 0.049)(1 + 0.052)(1 + 0.055)(1 + 0.068) x = 1000

(1.046 × 1.049 × 1.052 × 1.055 × 1.068) x = 1000

1.3 x = 1000

x = $768.87

The purchase price of a 5-year zero coupon bond will be $768.87.

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[tex]- 4 - 9 = - 13[/tex]

Answer:

Step-by-step explanation:

The coordinates of the new triangle are P' = (5, 3), K' = (3, 1) and Y' = (1, 4)

The coordinates of the triangle in the figure are

P = (-5, -3)

K = (-3, -1)

Y = (-1, -4)

The transformation is given as 180 degrees rotation

The rule of this transformation is

(x, y) = (-x, -y)

When this is applied on the triangle, we have the coordinates of the new triangle to be

P' = (5, 3)

K' = (3, 1)

Y' = (1, 4)

Hence, the coordinates of the new triangle are P' = (5, 3), K' = (3, 1) and Y' = (1, 4)

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Answer:

[tex]f(x) = 12 + \frac34x[/tex]

Step-by-step explanation:

Hello!

Function notation simply means replacing the term y with f(x).

Given the equation: y = 3/4x + 12

The equation in function notation is [tex]f(x) = \frac34 x + 12[/tex].

The meaning of f is just the name of the function. x is the variable being used in the function. Therefore, it can also be written as g(y), s(d), or e(f), as long as the variable inside the parenthesis exists in the equation.

Suppose you see a number in the spot for the variable. In that case, you are replacing the variable in that equation to evaluate when the x-value is that number.

Interpreting this will tell you the value of y when x is 1. The y-value is 2.

The time difference between Melbourne and London is 11.00 hours.

Here we need to find the time difference between Melbourne and London.

Here we have that the time difference between Melbourne and Singapore is 3 hours ahead.

And the Time difference between Singapore and Wellington is 5 hours behind then the difference between wellington and Melbourne is 3 hours.

Now the time difference between Wellington and London is 12 hours.

Through this we know that the time difference between Melbourne and London 11.00 hours.

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154mm

we know that  1cm = 10 mm

 therefore      15cm= 10*15 mm

                               =  150 mm

and 4 mm

we get total mm= 15cm +4mm

                          = 150mm+4mm

                           = 154 mm                  

mm stands for millimeters and cm stand for centimeters

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The domain of the function is [2,8] while the range is [6,24].

A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.

The domain is for the independent variable while the range is for the dependent variable.

Given the function,

p(c) = 3c

Now since Marisol can buy at least 2 cupcakes, but no more than 8.

So,

2 ≤ c ≤ 8 will be the domain of the function.

And,

p(2) = 3(2) = 6

p(8) = 3(8) = 24

So the range is 6 ≤ p(c) ≤ 24.

Hence "The domain of the function is [2,8] while the range is [6,24]".

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The fact that the tails of a normal distribution never touch the horizontal axis relates to the asymptotic property.

The normal distribution or bell-shaped curve are other names for the Gaussian distribution. The mean divides the normal distribution into two equal pieces, making the mean symmetrical. In a normal distribution, the mean determines the curve's height, while the standard deviation determines its width.

So the tails on a normal distribution go on forever and never touch the​ x-axis.

Therefore, the fact that the tails of a normal distribution never touch the horizontal axis relates to the asymptotic property.

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The water level after the rainfall is 1.75 below average.

From the information, the water level in Colorado river is 2.55 m below average. a large rainfall caused and the water level to rise 0.8 m.

The water level after the rainfall will be:

= -2.55 + 0.8

= -1.75

Therefore, the water level after the rainfall is 1.75 below average.

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Here are the examples of functions in real life.

1. ATM

If you want to withdraw money from your account, the amount of money dispensed by the machine is the amount you request{input}.As a result, the amount requested is a function of the amount distributed{output}. The machine will never give you more or less than what you asked for.

2.Places you can drive with Two Gallons of Fuel

If you still have two gallons of gas in your car's tank, you can visit several locations before running out of gas. As a result, there could be several answers to this question. In this case, the input is two gallons of fuel, and the output is a list of places you can visit with that amount of fuel.

3. Number of Sodas in a Vending Machine

The number of sodas you get from a vending machine is determined by the amount of money you put into it. If you put the same amount in twice and choose the same soda, you will get the same number of cans as you did the first time. In this case, the number is determined by the amount fed into the machine.

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Answer: Where are the tables?

The fraction of a pizza Matt gave Stuart is 4/8 or 2/4 or 1/2.

Given that, Matt sliced a pizza into 8 equal parts and gave 4 slices to Stuart.

We need to find the fraction of a pizza Matt gave Stuart.

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator.

Now, the fraction=4/8

=2/4 =1/2

Therefore, the fraction of a pizza Matt gave Stuart is 4/8 or 2/4 or 1/2.

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

Reason:

HCF = highest common factor

8 = 4*2

12 = 4*3

Both have 4 in common, and this is the largest such factor.

You can use factor trees as an alternative method.

Answer: b 2550

Step-by-step explanation:

(C) 1 mile/0.62 km conversion factor would be most useful in converting miles per gallon to kilometers per liter.

Therefore, (C) 1 mile/0.62 km conversion factor would be most useful in converting miles per gallon to kilometers per liter.

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The complete question is given below:
Which of the following conversion factors would be most useful in converting miles per gallon to kilometers per liter?

A) 1 gallon/4 quarts

B) 1 liter/1000 ml

C) 1 mile/0.62 km

D) 1 000 m/1 km

The dimensions of the rectangle that has the perimeter 134 inches is, 52 x 15 inches.

Perimeter of the Rectangle:

Perimeter of the rectangle is defined as the total distance covered by its boundaries or the sides.

The formula for the perimeter of a rectangle,

P = 2 (a + b) units

where

“a” is the length of the rectangle

“b” is the breadth of the rectangle

Given,

The length of a rectangle is seven more than triple the width.

Perimeter of the rectangle = 134inches.

Now we need to find the dimensions of the rectangle.

First, let's define the length of the rectangle as l and the width of the rectangle as w.

Next, we can write the relationship between the length and width as:

l = 3w + 7

We also know the formula for the perimeter of a rectangle is:

=> p = 2(l + w)

So, apply the given values on it,

=> 134 = 2 (3w + 7 + w)

=> 134/2 = 4w + 7

=> 67 = 4w + 7

=> 67 -7 = 4w

=> 4w = 60

=> w = 60/4

=> w = 15

So, the length is,

=> l = 3(15) + 7

=> l = 45 +7

=> l = 52.

Therefore, the dimensions of the rectangle is 52 x 15 inches.

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Answer:

36%

Step-by-step explanation:

19.44 = ( ? percent ) × 54

This is the question in an equation form :

Divide both sides by 54 :

19.44 ÷ 54 = (? percent )

0.36 = ? percent

0.36 as a percentage is

0.36 ×100 = 36%

Hope this helped and have a good day

The ages of Olivia and her brother are 10 years and 11 years respectively

Let x₁, and x₂ be the ages of Olivia and her brother respectively.

Given that Olivia's brother is twice her age minus 9 years.

⇒ x₂ = 2x₁ - 9 → equation 1

Also given that Olivia's brother is as old as half the sum of the ages of Olivia and both of her 12-year-old twin brothers.

⇒ x₂ = 1/2 × (x₁ + 12) → equation 2

Using equation 1 in equation 2, we get

2x₁ - 9 = 1/2 × (x₁ + 12)

⇒ 4x₁ - 18 = x₁ + 12 (multiplying by 2 on both sides)

⇒ 4x₁ - x₁ = 12 + 18

⇒ 3x₁ = 30

⇒ x₁ = 10 (dividing by 3 on both sides)

Using the value of x₁, in equation 1,

⇒ x₂ = 2(10) - 9

⇒ x₂ = 20 - 9

⇒ x₂ = 11

Therefore the ages of Olivia and her brother are 10 years and 11 years respectively.

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The sum of the frequencies

Let’s assume hypothetical data, various values occur multiple times and we have divided that given data or values into a certain interval that interval is termed a class, and the lower value is called the lower limit and the upper interval is called the lower limit of that class respectively.

Since various values occur multiple times in that data, then the number of times a certain value occurs is called the frequency of that class. This means all the classes have their own respective frequency and that represents the repetition of that values when we add all these frequencies, we will get the number of elements in the given data.

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Although part of the question is missing the question is the following histogram summarizes the amount spent on plane tickets to travel home in dollars for a group of 30 college students. If the interval size is decreased from $200 to $100 which of the following must remain the same on the new histogram?

Answer: The absolute value inequality will be |x| ≥ -2.

Step-by-step explanation: gl :)

Answer:

more simple here da answer but this answer is from the person above i just putted the answer

The absolute value inequality will be |x| ≥ 6

Answer:

[tex]8+2z[/tex]

Step-by-step explanation:

[tex]Rule: a\left(b+c\right)=ab+ac\\= 2\left(4+z\right)=2\cdot \:4+2z\\2\cdot \:4+2z\\2\cdot \:4=8\\=8+2z[/tex]

1125  money will she have at the end of 10 years in the account  after Simple Interest.

What is a basic example and interest?

Mary plans to invest = 2500

t = 10 yr

r = 4.5 %

simple intrest = prt/100

                       = 2500 * 10 * 4.5 /100

                        = 1125

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The cost of building a storage house is $89,600.

Area of rectangle:

Area of the rectangle is defined as the amount of space covered by a flat surface of a particular shape.

The formula for the area of the rectangle is,

Area of a Rectangle = (Length × Breadth) square units

Given,

The cost of building a storage house is $70 per square foot flooring.

Length = 10 feet

Width = 12 feet

Height = 8 feet.

Here we need to find the cost to build a storage house.

To find the cost of the storage,

First, we have to find the area of the storage house,

Apply the values on the formula, to find the area of the storage house,

=> A = 10 x 12

=> A = 120 square foot.

So, the cost of building the storage house is,

=> 120 x 70

=> 89600.

Therefore, the cost for building the storage is $89,600.

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The maximum resultant intensity in terms of the intensity of the initial unpolarized incoming light I₀ is given as -

Polarization is the property of wave oscillations having a definite direction relative to the wave's propagation direction. Transverse waves that can be polarized are EM waves. The polarization direction is defined as the direction parallel to the EM wave's electric field.

The effect of a polariser on polarised light is described by Malus' law, which states that-

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The correct question is -

What is the maximum resultant intensity in terms of the intensity of the initial unpolarized incoming light I₀.