Answer:
Yes, it represents direct variation.
The constant of variation is 2/3.
Step-by-step explanation:
Rearrange the equation to put it into y = kx form, which is the direct variation equation
3y - 7 = 2x - 7
Add 7 to both sides:
3y - 7 = 2x - 7
3y = 2x
Divide each side by 3:
y = 2/3x
So, the equation is y = 2/3x, which represents direct variation because it is in the form y = kx.
In y = kx, k is the constant of variation. Since the equation is y = 2/3x, k = 2/3.
So, the constant of variation is 2/3.
Keith ordered a hamburger for $2.25, a medium raspberry ice tea for $1.25, and a small sundae for $0.99. He also ordered French fries. All of these items totaled $6.24. What was the cost of the French fries?
The fries costs $1.49
What is addition?Addition in math is a process of combining two or more numbers.
Given that, Keith ordered a hamburger for $2.25, a medium raspberry ice tea for $1.25, and a small sundae for $1.25. He also ordered French fries. All of these items totalled $6.24.
Let the price of fries be x,
Therefore,
$2.25 + $1.25 + $1.25 + x = $6.24
$4.75 + x = $6.24
x = $6.24 - $4.75
x = $1.49
Hence, the fries costs $1.49
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A solid metal sphere with diameter 6cm needs to be covered with a protective
material which costs £0.25 per cm2.
How much will it cost to cover the sphere with the material?
Give your answer rounded to 2 DP.
Answer:
It will cost: £28.28
Step-by-step explanation:
Area of sphere = 4 x π x r2
Area of Circle = 4 x π x 3^2 = 113.097 (radius is half of diameter)
113.097 / 0.25 = 28.28
What are the values of trigonometric ratios?
three main trigonometry ratios are sin ,cos and tan.
1- Sine or sin θ = perpendicular / Hypotenuse .
2- Cosines or cos θ = base of triangle / Hypotenuse .
3- Tangent or tan θ = perpendicular of triangle / base of triangle.
Trigonometry
Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Trigonometric values are based on the angle theta and the values of the sides of triangle in which the theta angle is made.
for example - value of sin theta is equal to the side opposite to the theta angle divided by hypotenuse of the triangle and we will get the values of the sin trigonometric ratio.
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PLEASE HELP ASAP!!! will mark
Answer:
x=3 or x=5
Step-by-step explanation:
The answer is where the graph line curve cuts the x-axis (the horizontal line)
it cuts at 3 and 5
Is the second side “LK and HI” or the other way around?
Answer:
They aare both the same
Step-by-step explanation:
Ason is organizing the silverware drawer. He has 8 spoons. There are twice as many forks as spoons. There are 34 as many knives as forks. How many knives does Jason have
The result of two Newton's technique iterations to approximation a function's zero using the provided starting guess is 1.5262!
What is a formula that is iterative?Iteration describes carrying out a process repeatedly. To get a new value, start with an initial value and enter it into the iteration formula. To solve an equation using iteration, apply the new value for the subsequent substitution after that, and so on.
By Newton's Method, we have new guess of a zero of a function that are f(x), xn+1, and by using the previous guess, xn, like so-
xn+1 = xn - f(xn)/f'(xn)
and herethe case is [tex]f(x) = cos(x), and so f'(x) = -sin(x).[/tex]
Also, furthermore, [tex]cos(x)/(-sin(x)) = -cot(x).[/tex]
here, we have to simplify the formula to get a better guess for a zero to: xn+1 = xn + cot(xn)
[tex]x1 = 0.6, so x2 = 0.6 + cot(0.6) = 2.06170...\\And x3 = 2.06170... + cot(2.06170...) = 1.52615...\\Ans = 1.5262![/tex]
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what is 1 half of 2 thirds
What is the value of x in this equation?
−4x+8=42
Answer:
x = -8.5
Step-by-step explanation:
-4x+8=42
first subtract both sides by 8
-4x = 34
divide both sides by negative 4
x = -8.5
What is the axis of symmetry of the function f x =-( x 9 )( x 21?
The axis of symmetry of the function f(x) = -( x 9 )( x 21) is x = 15.
The axis of symmetry of a parabola is a line that divides the parabola into two exact mirror images. In this case, the parabola is defined by the quadratic function f(x) = -(x-9)(x-21). To find the axis of symmetry, we can take the average of the x-coordinates of the two solutions, which are 9 and 21. The average of 9 and 21 is 15, so the axis of symmetry is x = 15. This means that the parabola is symmetrical about the line x = 15, and the vertex of the parabola is located at the point (15,0).
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need help asap!!!! will give brainliest!
Answer:
Y = 3 [tex]\sqrt{2}/2[/tex] And x = 3
Step-by-step explanation:
Because this is a 45 to 45 degree triangle, the 3 * (square root of 2 )/2 is y as well. Because this is a 45-45 triangle, x should be y (Square root of 2). Therefore, replacing y with 3 * (square root of 2 )/2 and multiply the square root of 2, the answer for x is 3. If I got something wrong please tell me, thanks.
HELP HELP HELP I NEED HELP ASAP
How Do I answer this question
Answer:
You say help is no more
Step-by-step explanation:
Anna's hair has grown
2
3
of an inch in the 6 weeks since her last haircut. How fast does her hair grow?
Answer:
Her hair grows 1/9th of an inch. Hope this helped you
Step-by-step explanation:
What does 8 mean in math?
The number 8 (eight) is represented by a number and numeral.
It is the natural number that follows seven and precedes nine. Given that it is an integer and a cardinal number, it can be counted. It is distinguished from imaginary numbers by being categorised as a real number.
Eight is a composite number, and its proper divisors are 1, 2, and 4. Eight can be written as 23, which when said aloud sounds like two cubed. It has a 7 aliquot total. All powers of two add up to an aliquot that is one less than their own.
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Find the volume of the prism.
1.2 cm
1.8 cm
2 cm
2.3 cm
The volume is
cubic centimeters.
Answer:
Volume of prism = 6.3 cm³
Step-by-step explanation:
Given:
Dimensions of parallels line = 2.3 and 1.2 cm
Height of prism = 1.8 cm
Width of prism = 2 cm
Find:
Volume of prism
Computation:
Volume of prism = Area of base x Width
Volume of prism = [(1/2)(sum of parallels line)(Height)]Width
Volume of prism = [(1/2)(2.3 + 1.2)(1.8)]2
Volume of prism = [(1/2)(3.5)(1.8)]2
Volume of prism = [(3.5)(1.8)]
Volume of prism = 6.3 cm³
Which scenario can be best represented by the equation y = 139x + 200?
Since you didn't offer potential answer choices, here's a sample answer which would work for this scenario. Using this, you can compare it to the choices that you have to make a decision.
Sample Answer:
Bob opened savings account with $200. Every week since, he has added $139 into it.
a line from the top of a building to the ground passes over a 9 m pole and reaches the ground at point 15 m from the base of the pole. if the pole is 12 m from the base of the 16.2 m building, is the pole parallel to the building?
Answer:
yes
Step-by-step explanation:
A triangle has side lengths of (4b−5c) centimeters, (9b+10d) centimeters, and (6d−8c) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
NEED ANSWER ASAP GIVING 15 PTS!!! TEST DUE IN 5 MINS!!!
Given the rule y=12x−4 complete the table below.
Answer:
(-4,-52)
(1/12,-3)
(1/3,0)
(0,-4)
(3,32)
Step-by-step explanation
i think thats right
help me out here plz, can u solve this problem and ill give u 10 points.
Answer: the first one, 2^3x 3^2, correct me if i am wrong
Step-by-step explanation:
Answer:
2^3*3^2
Step-by-step explanation:
please help I'll give a crown if you answer correctly.
Answer:
2) 1. 73
2. 107
3. 73
4. 107
5. 73
6. 107
7. 73
8. 107
4) 1. 46
2. 134
3. 46
4. 134
5. 46
6. 134
7. 46
8. 134
Step-by-step explanation:
Vertical, corresponding, alternate exterior, and alternate interior angles are all congruent (equal).Angles such as same side exterior and same-side interior are supplementary; meaning these angles add up to 180°.Miu will solve the system of equations below using the elimination method.
(2x - 3y = 4
x + y = 1
Which of the following describes the appropriate first steps to solve the system of equations by the elimination method?
Answer:
D.
Step-by-step explanation:
-2(x+y)=-2*1
-2x-2y=-2
2x-3y=4
-5y=2
y=-2/5
What is the perimeter?
Help plz...
And No links!! I repeat No links!!
Answer:
b=4
perimeter=12
Step-by-step explanation:
frist find b by using pythagory theorm
the a+b+c=perimeter
Are machines faster and better at calculating a math equation than mans?
Answer:
MIT economics professor Richard Bookstaber put it simply in his book “The End of Theory”: “No man is better than a machine, and no machine is better than a man with a machine.” ... Humans are too emotion-driven and susceptible cognitive biases, while machines lack an understanding of human thinking.
Answer:
yesThe Liverpool researchers estimate that the robot is able to work 1,000 times faster than a human scientist, and highlight that it is “unlikely a human researcher would have persevered with this multivariate experiment using manual approaches given that it might have taken 50 experiments or 25 days
Identify the function that is exponential
Answer:
d. y=-3(0.5)^x
Step-by-step explanation:
since all other functions are ^ of a number, whereas the odd one out is d with an x as an exponent
therefore y = -3(0.5)^x is exponential
hope this helps:)
The sum of 5 times a number and 3 is 7.
Use the variable y for the unknown number.
PLEASE HELP!!!
Answer:
5y+3=7
Step-by-step explanation:
In 2010, the population of a city was 191,000. From 2010 to 2015, the population grew by 3.9%. From 2015 to 2020, it fell by 3.3%. To the nearest 100 people, what was the population in 2020?
Answer:
The population by 2020 is 191,900
Step-by-step explanation:
Given that;
population 2010 (population in 2010): 191000
the population grew from 2010 to 2015: by 3.9%
so, population by 2015 = [tex]191000(1 + \frac{3.9}{100})[/tex]
= [tex]191000(1 + 0.039)[/tex]
= [tex]191000(1.039)[/tex]
= [tex]198449[/tex]
the population drop from 2015 to 2020: 3.3%
so, population by 2015 = [tex]198449(1 - \frac{3.3}{100})[/tex]
= [tex]198449(1 - 0.033)[/tex]
= [tex]198449(0.967)[/tex]
= [tex]191,900.183[/tex]
Write an expression equivalent to 4-2(x+5) that has two terms
Answer:
-2x - 6.
Step-by-step explanation:
4 - 2(x + 5)
= 4 - 2x - 10
= -2x - 6
Answer:
-2x - 6
Step-by-step explanation:
Solve the quadratic by factoring. 3x^{2}+7=-8x+3 3x 2 +7=−8x+3
The roots of the given quadratic equation are x = -2/3 and x = -2.
What is a quadratic equation?A quadratic equation is a equation that is of the form -
y = f{x} = ax² + bx + c
Given is a quadratic equation as follows -
3x² + 7 = - 8x + 3
The given quadratic equations are -
3x² + 7 = - 8x + 3
3x² + 8x = 3 - 7
3x² + 8x + 4 = 0
(x + 2/3)(x + 2) = 0
(x + 2/3) = 0 and (x + 2) = 0
x = -2/3 and x = -2
Therefore, the roots of the given quadratic equation are x = -2/3 and x = -2.
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guess what answer correcly its a classic ill give you brailynes
Answer:
Um.. Hello there. You haven't added any links to this post so we cannot see what the question was. Sorry to bother you!
is triangle ABC similar to CDE?
Answer:Yes
?=6
Step-by-step explanation:
they sare the same angle 55 and angle
Answer:
Triangle ABC is similar to triangle CDE
?=8
Step-by-step explanation:
We can set up a proportion: x/12=8/12. We can use cross multiplication to get 12x=96 which would x=8.
The triangles are similar since both of them have 55 degrees as one of the angle measures.