Answer:
[tex] \sf \large \: −2r+73[/tex]
Step-by-step explanation:
Let's simplify step-by-step.
2r+1−4r+72
=2r+1+−4r+72
Combine Like Terms:
=2r+1+−4r+72
=(2r+−4r)+(1+72)
=−2r+73
The fact that the tails of a normal distribution never touch the horizontal axis relates to ______ property.
The fact that the tails of a normal distribution never touch the horizontal axis relates to the asymptotic property.
What is the normal distribution?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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Matt sliced a pizza into 8 equal parts and gave 4 slices to stuart. which are other ways that show the fraction of a pizza matt gave stuart? choose more than one answer:
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.
What is the fraction?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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I need help if someone can be so kind to give me the answer and explain how to do
The problem is:
y = -2(x-3)^2
Please help me find the;
Vertex,
X-Intercepts,
and the Axis of Symmetry
Alg 2, Intercept, Vertex form.
The Vertex is at (3, 0)
The Axis of symmetry is; x = 3
The x-intercept is; x = 3
What is the Vertex and Axis of Symmetry?
We are given the quadratic equation as;
y = -2(x - 3)²
Expanding this gives us;
y = -2(x² - 6x + 9)
y = -2x² + 12x - 18
x coordinate of vertex = -b/2a = -12/(2 * -2) = 3
y coordinate of vertex = f(3) = -2(3)² + 12(3) - 18 = 0
Vertex is at (3, 0)
Axis of symmetry is the x coordinate of vertex = -b/2a = -12/(2 * -2) = 3
x-intercepts is gotten by finding the roots which are; x = 3 and 3
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The length of a rectangle is seven more than triple the width. if the permiter is 134 inches, find the dimensions
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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The water level in Colorado river is 2.55 m below average. a large rainfall caused The water level to rise 0.8 m. what is the water level after the rainfall?
The water level after the rainfall is 1.75 below average.
How to calculate the difference?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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What is the maximum resultant intensity in terms of the intensity of the initial unpolarized incoming light i_0i 0 ?
The maximum resultant intensity in terms of the intensity of the initial unpolarized incoming light I₀ is given as -
When unpolarized light is polarized with 2 polarizers, this same intensity I = I₀cos2(Ф) (Malus' law) is obtained. When unpolarized light is polarized with just one polarizer, its intensity is reduced to half that of unpolarized light.What is polarization?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-
One starts with unpolarized light.The first polariser suppresses the unaligned component of the unpolarised light and produces polarised light (at half the intensity of the input). In your notation, the intensity of this polarised output is I₀.The second polariser lets through a fraction (cos)²Ф of the polarised output from the first polariser, where is the angle between the polarisers' axes. So, once again,I₀ is the intensity of the polarised input to the second polariser, not the intensity of the unpolarised input to the two-polariser system. The output intensity is limited by this provision; I = I₀cos2(Ф)To know more about the polarization, here
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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.
Which table represents an exponential function?
Answer: Where are the tables?
Tran bought 25 marbles and put them in his pocket with 10 other marbles. He had a hole in his pocket and lost 6 marbl
Which number sentence tells the story of how many marbles he had left ?
The number of marbles left in the pocket after losing is 29 { after narrating the story in numerical sentences}
Given that Tran bought 25 marbles and put them in his pocket with 10 other marbles. He had a hole in his pocket and lost 6 marbles. and asked to narrate the story in numerical form
Total number of marbles Tran bought=25 marbles
Total number of marble Tran has before buying new marbles=10 marbles
Total number of marbles after buying new marbles=35 marbles
Given that he lost 6 marbles because of the hole in his pocket
Therefore, the Total number of marbles left=35-6
The total number of marbles left=29 marbles.
Therefore, The number of marbles left in the pocket after losing is 29 { after narrating the story in numerical sentences}
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Which of the following is not a rational number?
A) The product of 14 and 0.833333...
B) The sum of 27 and 43
C) The product of 12 and 17−−√
D) The sum of 5+5√ and 14−5√
The product of 12 and √17 is not a rational number.
Any number that can be expressed as a fraction and where the denominator (the bottom number) and the numerator (the top number) are both integers is considered a rational number.
In other words, p/q, where p and q are both integers and q ≠ 0, can be used to represent a rational number.Irrational numbers are real numbers that cannot be represented as simple fractions. An irrational number cannot be expressed as a ratio, such as p/q, where p and q are integers, q≠0. It is a contradiction of rational numbers.The product of ant two rational numbers is always a rational number , but product of a irrational number and a rational number is not a rational number.
Hence only the third option is correct.
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*HURRY help i’m taking a test*
mario will purchase 2 rare coins each month at a cost of $50 each. how much money will mario have spent on his coin collection after 2 years if he purchases an additional 3 coins at the end of the 2 years?
a. $1200
b. $2550
c. $2400
d. $1750
c. $1250
Answer: b 2550
Step-by-step explanation:
Write an absolute value inequality for the graph below.
Use x for your variable.
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
Write each equation in function notation.
y = 12 + 3/4x
Will give Brainliest and 5 star rating. Thank you :)
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
f(x) = 3/4x + 12The equation in function notation is [tex]f(x) = \frac34 x + 12[/tex].
What does f(x) mean?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.
Ex:f(x) = 2xf(1) = 2(1)f(1) = 2Interpreting this will tell you the value of y when x is 1. The y-value is 2.
Please Help I Do Not Understand. 20+ Points!
can someone answer this and fast please and thank youuu!
Answer:
Step-by-step explanation:
8. Olivia's brother is twice her age
minus 9 years. He is also as old
as half the sum of the ages of
Olivia and both of her 12 year-
old twin brothers. Write and
solve an equation to find the
ages of Olivia and her brother.
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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What is the HCF of 8 and 12?
===============================================
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.
Mary plans to invest 2,500 for 10 years she invest in a savings account that pays 4.5 % simple intrest she made no additional deposit or withdrawals how much money will she have at the end of 10 years in the account
1125 money will she have at the end of 10 years in the account after Simple Interest.
What is a basic example and interest?
Simple Interest (S.I.) is a way for figuring out how much interest will accrue on a specific principal sum of money at a certain rate of interest. For instance, if someone borrows Rs. 5000 at a rate of 10 p.a. for two years, they will pay S.I. on the borrowed money for those two years.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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which of the following conversion factors would be most useful in converting miles per gallon to kilometers per liter?
(C) 1 mile/0.62 km conversion factor would be most useful in converting miles per gallon to kilometers per liter.
What do we mean by conversion factor?A conversion factor is a ratio in dimensional analysis that converts one unit of measure into another without changing the quantity. A conversion factor is a number that is used to multiply or divide one set of units into another. When converting to an equal value, the acceptable conversion factor must be used. To convert inches to feet, for example, the suitable conversion value is 12 inches equal to 1 foot. Another example would be converting miles per gallon to kilometers per liter using a 1 mile/0.62 km conversion factor.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 cost of building a storage house is $70 per square foot flooring. what will it cost to build a storage house 12 feet wide and 10 feet long and 8 feet high?$
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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What should the purchase price of a 5-year zero coupon bond be if it is purchased today and has face value of $1,000?
The purchase price of a 5-year zero coupon bond will be $768.87.
What is the percentage?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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Local time in melbourne is always 3 hours ahead of singapore time and singapore is 5 hours behind wellington, which is 12 hours ahead of london. what is the time difference between melbourne and london?
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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19.44 is what percent of 54
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 amount of water in the cooler w dropped by 37 cups during the day at work site, ending at 15 cup. Write an equation to represent this situation. then solve the equation for w to determine the amount of water in the cooler at the beginning of the day
millimeters
Equal 15 centimeters 4 millimeters
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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Find the area of the region inside the circle r=4cos(theta) and outside the circle r=2.
Area of the region inside the circle r=4cos(theta) and outside the circle r=2 is 4π/3 + 2√3
What is the polar curve?A form created using the polar coordinate system is called a polar curve. Points on polar curves have varying distances from the origin (the pole), depending on the angle taken off the positive x-axis to calculate distance. Both well-known Cartesian shapes like ellipses and some less well-known shapes like cardioids and lemniscates can be described by polar curves.
r = 1 − cosθsin3θ
Polar curves are more useful for describing paths that are an absolute distance from a certain point than Cartesian curves, which are good for describing paths in terms of horizontal and vertical lengths. Polar curves can be used to explain directional microphone pickup patterns, which is a useful application. Depending on where the sound is coming from outside the microphone, a directional microphone will take up sounds with varied tonal characteristics. A cardioid microphone, for instance, has a pickup pattern like a cardioid.
The area between two polar curves can be found by subtracting the area inside the inner curve away from the area inside the outer curve.
The figure attached shows the bounded region of the two graphs. The red curve is r=4cos(θ) and the blue curve is r=2.
The points of intersection of the two curves are
θ = π/3 and 5π/3
The area is calculated as follows:
Since the bounded region is symmetric about the horizontal axis, we will find the area of the top region, and then multiply by 2, so as to get the total area.
A = 2 [tex]\(\int_{0}^{\pi /3}[/tex] ½ (4 cos (θ)² − ½ (2)² dθ
= [tex]\(\int_{0}^{\pi /3}[/tex] 16 cos2 (θ) − 4dθ
= [tex]\(\int_{0}^{\pi /3}[/tex] 8 (1+cos(2θ)) − 4dθ
=[tex]\(\int_{0}^{\pi /3}[/tex] 4 + 8 cos (2θ) dθ
= [4θ + 4sin (2θ)] [tex]\(\int_{0}^{\pi /3}[/tex]
= 4π/3 + 2√3
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Joe works as a pianist in a local restaurant. He makes $8.50 an hour. He was able to work 45 hours last week. How much money did he make that week?
Answer: $382.50
Step-by-step explanation:
8.50 x 45 = 382.50
31. What is the formula for the perimeter of a square with the side s
and a perimeter p?
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 perimeter of a rectangle is 150 meters. If the length of the rectangle is 15 meters more than the width, what are the dimensions of the rectangle
Give 3 example of real life function with rule of correspondence input and output
1.
2.
3.
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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