Answer: \(46.42:18.57\)
Step-by-step explanation:
\(5+2 = 765/7 × 5 = 46.4265/7 × 2 = 18.57∴ 65 in the ratio 5:2 = 46.42:18.57x^{2}\)
The solution is 46.42857 : 18.57143
The proportion equation is given by 46.42857 : 18.57143 and
46.42857 + 18.5714365 = 65
What is Proportion?
The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the number be represented as N
The value of N = 65
The proportion is 5 : 2
The total value of the ratio = 5 + 2 = 7
So , each value of the proportion is x = 65 / 7
On simplifying the equation , we get
Each value of the proportion is x = 9.2857142857
Now , the proportion equation is given by
The value of 5x = 5 ( 9.2857142857 )
The value of 5x = 46.42857
The value of 2x = 2 ( 9.2857142857 )
The value of 2x = 18.57143
And , 46.42857 + 18.5714365 = 65
Hence , the proportion is 46.42857 : 18.57143 or 5 : 2
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The amount you pay for a car is not usually the "sticker price," which may be the starting price. The price of a car was reduced by $300 from the sticker price, increased by $900 for additional features, and then reduced by $600 by the dealer. What integer represents the total change in price with respect to the sticker price? Use a number line to represent the change from the sticker price.
There will be no change in the price of the car.
What is a number line?A number line is a representation of a graduated straight line used to abstract real numbers in elementary mathematics. Its points are considered to correspond to real numbers and vice versa.
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Let the sticker price = x, Price reduced by $300
Hence the new price is,
N= x-$300
The cost of additional features = $900
Hence the new price for selling will be.
=x-$300+$900
=x+$600
Dealer also provides a discount of $600
Hence Final selling price will be
=x+$600-$600
Hence there seems to be no change in the sticker price as the sticker price and the final selling price are the same.
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Mrs. Hopkins gives her students a math quiz every 8 and a science quiz every 6 days. If she gives math and science quizzes today, how many days will it be before both quizzes are given on the same day again?
Therefore , the solution of the given problem of unitary method comes out to be once more administer maths and science quizzes on the same day.
Definition of a unitary method.The well-known minimalist approach, current variables, and any crucial elements from the initial Diocesan tailored query can all be used to accomplish the work. In response, you can be granted another chance to utilise the item. If not, important impacts on our understanding of algorithms will vanish.
Here,
List the multiples of each integer until we discover a common multiple as one method to determine the least common multiple:
=> 8, 16, 24, 32, 40, 48, 56, 64, 72, and 80 are all multiples of 8.
=> 6, 12, 18, 24, 30, 36, 42, 48, 54, and 60 are multiples of 6.
As an alternative, we can use the prime factorization technique to identify the smallest common multiple:
=> 8's prime factors are 2 x 2 x 2
=> 6's prime factors are 2 x 3
=> 2 x 2 x 2 x 3 = 24
We can see that 24 is the smallest common multiple once more, and in 24 days,
Mrs Hopkins will once more administer maths and science quizzes on the same day.
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HELP ME ASAP
An object is launched at 39.2 meters per second (m/s) from a 42.3-meter tall platform. The equation for the object's height s at time t seconds after launch is s(t) = -4.9t^2 +39.2t + 42.3t, where s is in meters.
Create a table of values and graph the function.
Approximately when will the object hit the ground?
SHOW YOUR WORK
A. A table of values and graph of the function is shown below.
B. The object would hit the ground at approximately 8.963 seconds.
How to create a table of values and graph the function?Based on the information provided, we can logically deduce that the height (s) in meters, of this object above the ground is related to time by the following quadratic function:
s(t) = -4.9t² +39.2t + 42.3
When t = 0, s(t) is given by;
s(0) = -4.9(0)² +39.2(0) + 42.3
s(0) = 42.3
When t = 1, s(t) is given by;
s(1) = -4.9(1)² +39.2(1) + 42.3
s(1) = 76.6
When t = 2, s(t) is given by;
s(2) = -4.9(2)² +39.2(2) + 42.3
s(2) = 101.1
Therefore, the table can be created as follows;
Time (t) Height s(t)
0 43.3
1 76.6
2 101.1
3 115.8
4 120.7
5 115.8
Part B.
Generally speaking, the height of this object would be equal to zero (0) when it hits the ground. By critically observing the graph (see attachment), we can logically deduce that the object would hit the ground at approximately 8.963 seconds.
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which of the following describes the zeroes of the graph of f(x)= -x^5+9x^4-18x^3
Answer:
\(-x^5+9x^4-18x^3=0\\-x^3(x^2-9x+18)=0\\-x^3(x-3)(x-6)=0\\\\\\\\x=0\\x=3\\x=6\)
What is the distance from the origin to point A graphed on the complex plane below
Answer:
B) \(\sqrt{13}\)
Step-by-step explanation:
1. \(d = \sqrt{(-3-0)^2+(-2-0)^2}\)
2. \(d=\sqrt{(-3)^2+(-2)^2}\)
3. \(d=\sqrt{9+4}\)
4. \(d=\sqrt{13}\)
\(\sqrt{13} = 3.60555..\)
I need answers ASAP
Answer:
Simplifying
6r + r + -5r = 0
Combine like terms: 6r + r = 7r
7r + -5r = 0
Combine like terms: 7r + -5r = 2r
2r = 0
Solving
2r = 0
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Divide each side by '2'.
r = 0
Simplifying
r = 0
7r-5r < this is the answer
6r+r=7r
Answer ? I need help
\(~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ 36^{\frac{1}{2}}\implies \sqrt[2]{36^1}\implies \sqrt{6^2}\implies 6\)
What is the value of x? Enter your answer in the box. X = cm 5 cm 48 cm 40 cm
The value of x in the similar triangle is 6 units.
How to find side of similar triangle?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
Therefore, let's use the similarity ratio to find the value of x in the similar triangle as follows:
Hence,
5 / 40 = x / 48
48 × 5 = 40x
240 = 40x
divide both sides by 40
x = 240 / 40
x = 6
Therefore,
x = 6
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Find the area of each sector. Round your answers to the nearest tenth.
Answer:
Area of the given sector = 130.9 cm²
Step-by-step explanation:
Area of a sector is given by the formula,
Area of the sector = \(\frac{\theta}{2\pi }\times (\pi r^{2})\)
Area of the sector of the circle given in the picture = \(\frac{\frac{5\pi }{6} }{2\pi }[\pi (10)^{2}]\)
= \(\frac{5}{12}(100\pi )\)
= 130.8996
≈ 130.9 cm²
If a = 2, b = 3, c = 4, and d = 12, evaluate
20 - 2b/a
Answer:
17
Step-by-step explanation:
20 - (2 x 3) / 2
20 - 6 / 2
20 - 3
17
Answer:
17 will be your answer
Step-by-step explanation:
(-5, -5) (1,3) find the distance between each pair of points
Answer:
10
Step-by-step explanation:
Plug into Distance formula --> √(1 - (-5))^2 + (3 - (-5))^2
---> 10
4. Last week the raln accumulations were as
follows: 0.75 inches, 1.94 inches, 2.3 inches
and 5 Inches. What was the totalrainfall for
the week?
Answer:
9.99 inches
Step-by-step explanation:
Is there a linear relation between calories and sugar content? A. Since the absolute value of the correlation coefficient is less than the critical value, there is a linear relation between calories and sugar content. B. Since the absolute value of the correlation coefficient is greater than the critical value, there is a linear relation between calories and sugar content. C. Since the absolute value of the correlation coefficient is greater than the critical value, there is not a linear relation between calories and sugar content. D. Since the absolute value of the correlation coefficient is less than the critical value, there is not a linear relation between calories and sugar content.
Answer:
Option B
Step-by-step explanation:
The correlation coefficient describes the strength and direction of the linear relationship between two variables.
In order to draw a conclusion after carrying out a test to determine linear relation, when using critical value, if the absolute value of the correlation coefficient is greater than the critical value, then there is a linear relation between the two variables in this context which are calories and sugar content.
Philip is making chocolate cupcakes for a
school bake sale. He makes 4 batches and
uses up an entire 5-cup bag of wheat flour.
Philip decides to make one more batch of
cupcakes with almond flour instead. The
3
recipe says to add an extra cup of flour if
you're using almond flour.
Which equation can you use to find how
much almond flour, a, is needed to make a
batch of cupcakes?
5/4 cups of almond flour is needed to make a batch of cupcakes.
What is an equation?An equation is an expression used to show the relationship between two or more numbers and variables.
Let a represent the amount of almond flour needed to make a batch of cupcakes. Hence:
a = 5 cup / 4
a = 5/4
5/4 cups of almond flour is needed to make a batch of cupcakes.
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The images below show a picture of ricoffy tin container with no dimensions indicated.the container is 2,5 times smaller than what it is in reality. Measure the diameter of the tin in mm and write down the real diameter in mm
The diameter of the tin in the picture is \(3d/5\) where 'd' is the diameter of the tin in reality.
What is the measurement of the diameter?Determining the diameter of tin:
Since there is no indication of dimensions, represent the diameter with a variable 'd' and find the diameter of the tin according to the given condition in the problem.
Here we have assumed that the diameter of the tin is 'd' in reality and the diameter of the tin picture can be calculated as given below.
Here we have
A ricoffy tin container with no dimensions indicated
Let d and h be the diameter and height of the tin
Given that the container is 2/5 times smaller than d
then the diameter of the tin in the picture \(= d - 2/5(d)\)
\(= [5d - 2d]/5 = 3d/5\)
Therefore, The diameter of the tin in the picture is \(3d/5\) where 'd' is the diameter of the tin in reality.
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(q2) A civil engineer wants to find out the length of a rod which stretches for 1 meter and can be given by the function x=2y^((3)/(2)) Find the length of the rod.
The Length of the rod is 3/5 meters.
The civil engineer wants to find the length of a rod that stretches for 1 meter and can be given by the function x=2y^(3/2).
To find the length of the rod, we need to integrate the function x=2y^(3/2) with respect to y. Integrating both sides of the equation,
we have:'int dx = int 2y^(3/2) evaluating the left-hand side gives x = 2/5 y^(5/2) + C, where C is the constant of integration. To find the value of C,
we use the given information that the rod stretches for 1 meter. At y = 0, x = 0 since the rod has no length when it is not stretched. At y = 1, x = 1 since the rod stretches for 1 meter.
Therefore, we have:1 = 2/5 (1)^(5/2) + C1 = 2/5 + CC = 3/5 Substituting C = 3/5 back into the equation for x,
we have:x = 2/5 y^(5/2) + 3/5
The length of the rod is given by the value of x when y = 1. Substituting y = 1,
we have:x = 2/5 (1)^(5/2) + 3/5 = 3/5
The length of the rod is 3/5 meters.
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Find the surface area of a cylinder pls
The total surface area of the cylinder is 157 square feet.
Given the radius of the cylinder = 4 inches
height of the cylinder = 9 inches
Total surface area is calculated by the formula:
A = 2πr² + 2πh
A = 2 × 3.14 × 4² + 2 × 3.14 × 9
or, A = 157 square feet.
Therefore the total surface area of the cylinder is 157 square feet.
The surface area of a solid item is a measurement of the total volume that the surface of the thing occupies. The mathematical definition of surface area in the presence of curved surfaces is considerably more complicated than the definition of arc length for one-dimensional curves.
The definition of surface area for polyhedral (i.e., particles with flat polygonal faces), where the surface area is equal to the sum of the areas of its faces. When smooth surfaces, like spheres, are represented as parametric surfaces, their surface area can be calculated.
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Approximately 24 out of 100 people over the age of 12 smoke. How many smokers would you expect in a group of 950 people over the age of 12?
Answer:
228 people
Explanation:
Approximately 24 out of 100 people over the age of 12 smoke.
The relative frequency of a person over the age of 12 smoking is:
\(\frac{24}{100}\)Thus, in a group of 950 people over the age of 12:
\(\begin{gathered} \text{The number of expected outcome}=\text{ Relative Frequency }\times\text{ Total number of trials} \\ =\frac{24}{100}\times950 \\ =\frac{12\times2}{50\times2}\times19\times50 \\ =12\times19 \\ =228 \end{gathered}\)In a group of 950 people over the age of 12, we would expect 228 people to be smokers.
Qué significa la luna pesca en el charco
The expression "La luna pesca en el charco". which is equivalent to "The moon fishes in the puddle" and is used to express that an event is not likely to happen.
What is the meaning of this expression?To begin, this expression is not a literal but a figurative expression. Now, the equivalent of this expression in English is "The moon fishes in the puddle". As this is a figurative expression we know that it is impossible for the moon to fish.
Instead, this expression means that something is impossible or not very likely to happen. For example, winning the lottery if you do not buy the lottery.
Note: Here is the question in English:
What is the meaning of the moon fishes in the puddle?
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THIS IS DUE IN 1 HOUR I WILL MARK BRAINLIEST
Jack has 24 game cards. He divides them between his brother, his sister, and himself in the ratio 2:1:5. How many cards does each get?
THERE IS 15 POINT WAITING FOR YOU
Answer:
brother gets 6 cards
sister gets 3 cards
he gets 15 cards
Answer:
8
Step-by-step explanation:
Please answer i wanna get this over with h ^-2 / h ^4
Answer:
= h^-6
Step-by-step explanation:
When dividing powers you subtract them (indices rules)
--> -2 - 4 = -6
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A population of rare birds in town is currently listed at 2,000. It is declining at a rate of 2% per year. How many birds will be left after 20 years? Round your answer to the nearest whole number.
A. 1,335 birds
B. 1,980 birds
C. 2,972 birds
D. 23 birds
Option(A) is the correct answer is A. 1,335 birds.
To calculate the number of birds that will be left after 20 years, we need to consider the annual decline rate of 2%.
We can use the formula for exponential decay:
N = N₀ * (1 - r/100)^t
Where:
N is the final number of birds after t years
N₀ is the initial number of birds (2,000 in this case)
r is the annual decline rate (2% or 0.02)
t is the number of years (20 in this case)
Plugging in the values, we get:
N = 2,000 * (1 - 0.02)^20
N = 2,000 * (0.98)^20
N ≈ 2,000 * 0.672749
N ≈ 1,345.498
Rounded to the nearest whole number, the number of birds that will be left after 20 years is 1,345.
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Mary wrote the division equation shown below.
2÷16=12
Which multiplication equation can Mary use to check if her answer is correct?
I need help with this
Step-by-step explanation:
If M is the midpoint of AB then,
AM = BB so we can write the following equation:
4x + 13 = 3x + 17
transfer like terms to the same side of the equation4x - 3x = 17 - 13
add/subtractx = 4
Now on to the length of BM, we can replace x with 4 to find it.
3*4 + 17 = 29
Evaluate the following to four decimal places
Sin 23.4 degrees
Answer: 56554
Step-by-step explanation:
The price of a phone is decreased by 19% and now is $319.14. Find the original price
The cost of a phone has lowered by 19% to $319.14 from its original $394 pricing.
what is percentage ?In arithmetic, a percentile is a number or statistic that is given as a fraction of 100. Occasionally, the acronyms "pct.," "pct," nor "pc" are also used. But it is broadly classified into the following by the cent sign, "%." The % amount has no characteristics. Percentages are essentially integers when the denominator is 100. Use the percent sign (%) to indicate that a number is a percentage by placing it close to it. For instance, you score a 75% if you properly answer 75 so out 25 pages on a test (75/100). Divide the money by the whole and multiply the results by 100 you compute percentages. The formula for calculating the percentage is (value/total) x 100%.
given
Put this together using the conditions given: 319.14 / (1- 19%)
Determine the total or difference: 319.14 / 0.81
Diminish the fraction: 394
Response: 394
The cost of a phone has lowered by 19% to $319.14 from its original $394 pricing.
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Need help with math problems give 5 stars and good rating if you do a math problem
Answer: I cant see the full question but I would say figure D
Step-by-step explanation:
30/20 in half is 15/10
also between 12/8 and 18/12 is 15/10
Given the two functions, which statement is true? f(x) = 3x, g(x) = 3x + 5 Question 12 options: g(x) is translated up 5 units compared to f(x) g(x) is translated left 5 units compared to f(x) g(x) is translated down 5 units compared to f(x) g(x) is translated right 5 units compared to f(x)
The correct statement is: g(x) is translated up 5 units compared to f(x).
The correct answer is A.
To determine the translation between the two functions, we can observe that the only difference between them is the constant term.In f(x) = 3x, there is no constant term, so the graph of f(x) passes through the origin (0, 0).In g(x) = 3x + 5, there is a constant term of 5 added to the function. This means that the graph of g(x) is shifted vertically upward by 5 units compared to the graph of f(x).Therefore, g(x) is translated up 5 units compared to f(x).The correct answer is A.
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Simplify (5*3)^3 so that there are still two factors but no parentheses.
Answer:
15^3
Step-by-step explanation:
1) Multiply 3 and 5 to clear the Parenthesis giving us the product - 15
2) Raise 15 to the 3rd Power: 15^3
What is 3+3!!??!!??!!??!!??!!??!!??
Answer:
6
Step-by-step explanation:
cause 3+3 is 6
thanks for the easy points :3
Answer:
id.kkkkk.. maybe 5.. maybe 6...
:O