On solving the provided question we can say that equation formed is x/y = k, x = ky => y₂ = (10.5 × 3.2) / 5.6 => y₂ = 6
What is equation?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
x/y = k, x = ky
where k is a constant.
Thus, x₁ / y₁ = x₂ / y₂
5.6 / 3.2 = 10.5 / y₂
5.6 × y₂ = 10.5 × 3.2
y₂ = (10.5 × 3.2) / 5.6
y₂ = 6
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Please its due today
a) The domain and the range of the function are given as follows:
Domain: [-4,5).Range: [0,9].b) The zero of the function is given as follows: (3,0).
c) The behaviors are given by these following intervals:
Increasing: (-4,0) U (3,5).Decreasing: (0,3).Constant: DNE.d) The extremas are given as follows:
Relative minimum: (3,0).Relative maximum: (0,9).e) The function is neither even nor odd.
What are the features of the function?The domain of a function is the set that contains all the input values for the function, hence in the graph it is given by the values of x.
The range of a function is the set that contains all the output values for the function, hence in the graph it is given by the values of y.
The zeros are the points of the function at which it either crosses or touches the x-axis.
The function is increasing when the graph is moving up, and decreasing it the graph is moving down.
The extremas are given as follows:
Relative minimum: function changes from decreasing to increasing.Relative maximum: function changes from increasing to decreasing.The function is classified as even, odd or neither as follows:
Even: f(x) = f(-x) for all values of x.Odd: f(-x) = -f(x) for all values of x.Neither: none of the two above statements are true.More can be learned about functions at https://brainly.com/question/24808124
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Perry learned to play a total of 18 piece over the coure of 9 week of piano leon. After 12 week of piano leon, how many total piece will Perry be able to play? Solve uing unit rate
In a course of 12 weeks, Perry will be able to play a total of 25 pieces of the piano Leon.
A total of 18 pieces of piano are learnt by Perry in a course of 9 weeks.
By using simple algebra, we can find the number of pieces that will be played by Perry in one week,
So, we can write, The learing speed,
Number of piano pieces learnt = Weeks
19 pieces = 9 weeks
Learning speed = 19/9 Pieces per week
So, the number of pieces learnt in 12 weeks is,
Number of pieces learnt = 19/9 x 12
Number of pieces learnt = 25.22
Number of pieces learnt = 25
So, Perry will be able to play 25 pieces.
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The price of a particular stock is represented by the linear equation y = negative 0.91 x + 103.47, where x represents the number of weeks the stock has been owned and y represents the price of the stock, in dollars. If this relationship continues, what is the price of the stock after it has been owned for 12 weeks?
Answer:
Step-by-step explanation:
We have, C(x) = 0.005x3 – 0.02x2 + 30x + 5000
Clearly, the marginal cost, MC (x) = \(\frac{d}{d x}\)C(x)
= \(\frac{d}{d x}\)(0.005x3 – 0.02x2 + 30x + 500)
= 0.005 × 3x2 – 0.02 × 2x + 30 + 0
= 0.015x2 – 0.04x + 30
Now, marginal cost when 3 units arei produced
MC(3)= 0.015(9) – 0.04(3) + 30
= 0135 – 0.12 + 30= 30.015
You decide you want to go snowboarding for the day and you have to figure out your budget. Tickets are $75.00 per day and there is a 5% convenience charge when you order your ticket. You also have to pay for a bus ticket that is $12 for the day. You mom gives you a 15% off coupon that applies to the lift ticket only (not the bus). What is the total cost for your fun day out? (round to the nearest hundredth)
The total cost for your fun day out is $23.82.
What is percentage?In mathematics →
a percentage is a number or ratio expressed as a fraction of 100.it is often denoted using the percent sign "%".Given is that you decided to go snowboarding for the day and you have to figure out your budget. Tickets are $75.00 per day and there is a 5% convenience charge when you order your ticket. You also have to pay for a bus ticket that is $12 for the day. You mom gives you a 15% off coupon that applies to the lift ticket only.
Assume that the total cost for your fun day out is ${x}. Then, we can write the equation as -
{x} = 15% of (75 + {5% of 75}) + 12
{x} = 15% of (75 + {5/100 x 75}) + 12
{x} = 15% of (75 + {1/20 x 75}) + 12
{x} = (15/100) x (75 + 75/20) + 12
{x} = (3/20 x 78.75) + 12
{x} = 11.82 + 12
{x} = 23.82
Therefore, the total cost for your fun day out is $23.82.
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A B. C A3 x 3 matrix is above. It has a pattern going both horizontally across the rows and vertically down the columns. The pattern is not necessarily the same in both directions. There is one object that fits correctly in the bottom right corner of the matrix. Choose this object from the list below the matrix Select one: a. A ОБ. В Ос, с d. D e. E f.F 8.G h. H
We can conclude from answering the above question that the first two patterns of the matrix form a sequence in the third from top with the numbers 4-2-6.
what is matrix i?A matrix is a set of numbers arranged in rows and columns. learns about the elements and dimensions of matrices and introduces them for the first time. A rectangular grid of numbers in rows and columns is known as a matrix. Matrix A, as an illustration, has two rows and three columns. Its single row and 1 n row matrix order are the reasons behind its name. A = [1 2 4 5] is a row matrix of order 1 by 4, for instance. P = [-4 -21 -17] of order 1-by-cubic is another illustration of a row matrix.
We can conclude from answering the above question that the first two patterns of the matrix form a sequence in the third from top with the numbers 4-2-6.
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Chris drew the following diagram of his park with a scale factor of 1 inch = 9 points
7 feet. What is the area of the actual park?*
11 inches
7 inches
Answer
539
Step-by-step explanation:
Someone please Help me it’s due soon !!!! Use steps please
Answer:
4/3 or 1 1/3
Step-by-step explanation:
cube root of 64 = 4
cube root of 27 is 3
4/3 or 1 1/3
In the sequence 9, 14, 19, 24, 29,.... Say we're using a to describe the terms. What is the value of the term below?
14
9
19
29
24
A game has a deck of cards with 10 red cards and 4 blue cards. You randomly choose one card and without replacing it choose another card. What is the probability of choosing a red card and then a blue card?
Answer:
21.97%
Step-by-step explanation:
Please help me, i’m stuck and confusedd..
6. Find cos C using the triangle below. Answers may be in decimal OR fraction form.
Determine the equation of the circle graphed below
Which angles are alternate exterior angles?
1. EFH and BCF
2. EFH and DCA
3. EFH and EFC
4. EFH and BCA
∠EFH and ∠ACD are angles of alternate exterior angles in the figure as alternate external angles are those that are generated on the outer side of the parallel lines .
what are angles ?When two straight lines connect at a 90° angle or are perpendicular to one another, an angle is formed. The symbol denotes a right angle. In the picture up above, many right angle formations are visible. Shapes include the correct angles. Triangles classified as right triangles have one of their internal angles at a 90 degree right angle. The three interior angles of a triangle add up to 180 degrees, so the three interior angles of a right triangle must always add up to 90 degrees because one of them is always 90 degrees.
given
The pair of angles known as alternate external angles are those that are generated on the outer side of the parallel lines but on the transverse side.
sum up to 180 degrees, you can calculate the size of the inner angle adjacent to it if you know the size of the outer angle (since together they are the angle on a straight line). The internal angles at the other two vertices are added to create the outer angle of a triangle.
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A rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is 29 ft. long and 19 ft. wide. If the gardener wants to build a fence around the garden, how many feet of fence are required? (Use the value 3.14 for pi, and do not round your answer. Be sure to include the correct unit in your answer.)
Answer:
141.6925 [tex]ft^{2}[/tex]
Step-by-step explanation:
Area of rectangle = LW
A = 29 x 19 = 551 [tex]ft^{2}[/tex]
Semicircle = [tex]\frac{\pi r^{2} }{2}[/tex]
[tex]\pi[/tex] = 3.14
r = 19/2 = 9.5
[tex]\frac{(3.14)(9.5^{2}) }{2}[/tex]
(9.5)^2 = 90.25
3.14 x 90.25 = 283.385
283.385/2 = 141.6925 [tex]ft^{2}[/tex]
a=1/2(a+b)h work out the value of A when a=7, b=6 and h=10
Answer:
A = 65
Step-by-step explanation:
A = 1/2(7+6)·10
A = 5(7+6)
A = 5(13)
A = 65
Suppose a basketball team had a season of games with the following characteristics:
Of all the games, 60% were at-home games. Denote this by H (the remaining were away games)
Of all the games, 25% owere wins. Denote this by w (the remaining were losses).
Of all the games, 20% were at-home wins.
If the team won a game, how likely is it that this was a home game? (Note: Some answers are rounded to 2 decimal places.)
A. 0.05
B. 0.12
C. 0.15
D. 0.42
E. 0.80
Answer:
E
Step-by-step explanation:
Can y’all help me with this I don’t understand stand
is it 10+8=18 is this it hopefully this helps
Answer:
Option C
Step-by-step explanation:
10 + n is the total number of computers Mr. James will sell this week, since he has already sold 10 computers and will sell n more. Because he wants to sell at least 18 computers, the correct symbol is ≥.
FINAL!! Pls help
1. What is the y-value of the solution to the system of equations?
-7x + 5y = 6
7x + 4y = 12
Answer:
(4/7,2)
Step-by-step explanation:
x= 4/7
y= 2
6(x+1)=24 solution to equation
helppppppppppppppppppppp
Answer:
d=112
f=112
a=68
e=68
c=112
Explanation:
Each line is equal to 180 degrees so 180-68 is 112 f and a should be the same degree because of the way the line is slanted. E and c will be the inverse of d and 68.
2) A box holds 6 smaller
boxes with 160 paper clips in
each box. If 1.5 of the boxes
have been used, how many
paper clips are left?
The number of paper clips that are left will be 480 clips.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
A box holds 6 smaller boxes with 160 paper clips in each box. If 1.5 of the boxes have been used. Then the number of paper clips that are left is given as,
⇒ (2 - 1.5) x 6 x 160
⇒ 0.50 x 960
⇒ 480
The number of paper clips that are left will be 480 clips.
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PPEASE HELP ONLY ANSWER IF YOU KNOW
Step-by-step explanation:
In order to rotate a coordinate point by 90° in the counterclockwise direction, follow the following transformation rule:
(x, y) ---> (-y, x)
Here is the list of the coordinates of the points on the fan blade and next to it is a list of points that are rotated by 90° in the counterclockwise direction:
Normal. Rotated
(x, y) (-y, x)
(3, 1) (-1, 3)
(5, 2) (-2, 5)
(8, 4) (-4, 8)
(9, 6) (-6, 9)
(8, 8) (-8, 8)
(6, 9) (-9, 6)
(4, 8) (-8, 4)
(2, 5) (-5, 2)
(1, 3) (-3, 1)
Simply repeat the pattern for the other two blades.
Jean Junction is selling jeans at 15% off the regular price the regular price is $25 per pair what is the discount amount
Answer:
15% off means take $3.75 off the regular price
Step-by-step explanation:
$25(0.15) = $3.75
$25 - $3.75 = $21.75 sale price
Carlos has 38. he puts 8 apples into each bag. If he fills as many bags as possible, how many apples are left?
Answer: 6 is how many apples are left
Step-by-step explanation:
What is the solution to the equation below?
log, x = 3
O A. x = 0.5
O B. x = 729
O C. x = 2
O D. x = 19,683
How do I do this ? Because I’m having trouble with problems like this .
Answer:
[tex]\sqrt[3]{x^{9} x}[/tex]
Step-by-step explanation:
When you are multiplying powers that have the same bases (in this case x) you add the exponents. If you do not see an exponent, the exponent is 1.
9 + 1 = 10
please help my smart bootiful people O^O
Answer:
y= 27 x=63
Step-by-step explanation:
sorry if its wrong...
can someone tell me how much is 0,5-⁶?
Answer:
add this and (5 × 5 × 5) × (5 × 5 × 5 × 5 × 5
Step-by-step explanation:
How do you simplify 3 ratios?
To simplify 3 ratios, divide each part of the ratio with the same amount and keep diving numbers in the ratio until they are as small as possible but they remain as whole numbers.
To simplify or reduce a fraction, first, we need to find a common factor between the ratio numbers. When we have multiple ratio numbers, we must find a common factor between all of them.
The greatest factor between all the ratio numbers (greatest common factor) will be utilised to divide or reduce the ratios down to their lowest form.
For example reduce the ratio 350: 250: 125
The first step is to determine a common factor between all of the ratio numbers. In this example, we can see that all of the numbers end in either 5 or 0. This means that each number should have 5 as a factor.
If numbers are large and we are not sure of the greatest common factor between them all, we can reduce by a common factor and then reduce again.
Now divide each number by 5 and see what we get.
350/5: 225/5: 125/5
70: 45: 25
When we divide each one by 5 again, we can see that each number again ends in 5 or 0 which means that 5 is still a factor of each number.
Now divide each number by 5 again and get a final ratio of 14: 9: 5.
70/5: 45/5: 25/5
14: 9: 5
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A 6-ft tall person is standing next to a tree. The tree is 15 feet tall and casts a shadow 5 feet long. How long is the shadow of the person?