Inversely proportion - The work out value of R and A is 3.6 and 2 respectively.
What is inversely proportion?
They are said to be inversely proportional when one quantity's value rises relative to another's decline or vice versa. It implies that the two quantities behave inherently differently. For instance, time and speed have an inverse relationship. The time decreases as you increase the speed. Inverse proportion, varying inversely, inverse variation, and reciprocal proportion are additional terms used here to describe this kind of proportion.
Given, R [tex]\alpha[/tex] 1/A
R = k/A
When R = 12 and A = 1.5
12= k× 1.5
k= 18
Now, when A=5, R= 18/5 = 3.6
And when R= 9, A = 18/9=2
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EASY POINTS WILL GIVE BRAINLIST TO BEST ANSWER
Determine if the sequence is arithmetic. If it is, find the common difference, the 21st term, the explicit rule, the recursive rule, and the three terms in the sequence after the last one given.
25, 34, 43, 52, ...
explain :)
Answer:
205
Step-by-step explanation:
we first enter the desired number equaling the equation, so 21. then we enter the first term and find the common difference, in this case it's going up by 9. then we take the desired term, subtract 1 and we end up with 205 as the 21st term.
21 = 25 + 9 (21 - 1)
Consider the quadratic function f(x) =x - 5x + 6.
What are the values of the coefficients and constant in the function?
The values of the coefficients and constant in the quadratic function are a = 1, b = -5, and c = 6, where a and b are coefficients and c is the constant.
What are quadratic functions?A polynomial function with one or more variables, where the greatest exponent of the variable is two, is referred to as a quadratic function. It is also known as the polynomial of degree 2 since the highest degree term in a quadratic function is of the second degree. The formula for a quadratic equation is ax² + bx + c = 0, where a and b are referred to as the coefficients of x² and x, respectively. The function's constant is the c term.Given quadratic function f(x) = x² - 5x + 6.
The values of the coefficients and constant in the function are
a = 1
b = -5
c = 6
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D is the midpoint of EF. ED = 4x + 27, DF = 5x + 21. Find x, ED, DF, and EF
pls pls help whoever gets it right gets marked brainliest
Answer:
option b) 5 units
Answer:
5 units
Step-by-step explanation:
You use Pythagoras' theorem
3squared + 4 squared = 25
square root of 25 is 5
40 POINTS MATCH THEM PLS
What is the expression in factored form? x 2 + 13 x + 42
The expression in factored form for x² 13 x + 42 will be (x + 6)(x + 7).
What is an expression?It should be noted that an expression is simony used in Mathematics to show the relationship between the variables that are expressed.
In this case, the expression in factored form for x² 13 x + 42 will be:
x² + 13x + 42
x² + 6x + 7x + 42
x(x + 6) + 7(x + 6)
(x + 6)(x + 7)
The expression is (x + 6)(x + 7).
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The Smithsonian Jellyfish Tank that regularly sells for $24.99 was on sale for 15% off with a special code. How much would be saved by using the code?
The saved amount after selling the tank and by using the code is $21.24.
What is selling price?
The selling price is the amount in the form of extra charges which was decided by the shopkeepers for the different commodities. The cost spent by the shopkeeper for the purchase is the cost price. And for profit selling price should be more than the cost price.
According to the question, the given parameter is as written below:
The selling price of the Jellyfish tank is: $24.99
And the discount with special code is: 15 percent
The calculated money saved by using the special code is:
Discount Amount = (24.99 x 15)/100 = 3.7485
Saved money = $24.99 - $ 3.7485 = $ 21.2415 ≅ $ 21.24
Hence, the saved amount after selling the tank and by using the code is $21.24.
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Exterior angle, theorem, and triangle sum theorem
Answer:
x = 4
The two interior angles are
14x + 6 = 14 x 4 + 6 = 62°
16x + 4 = 16 x 4 + 4 = 68°
Step-by-step explanation:
The exterior angle of a triangle is the sum of the interior angles:
Here the exterior angle is 130° and the interior angles are
16x + 4 and 14x + 6
So 16x + 4 + 14x + 6 = 130
Gathering like terms and simplifying:
16x + 14x + 4 + 6 = 130
30x + 10 = 130
30x = 120 (subtract 10 from both sides)
x = 4
The two interior angles are
14x + 6 = 14 x 4 + 6 = 62°
16x + 4 = 16 x 4 + 4 = 68°
What do the following two equations represent?
Choose 1 answer:
A.The same line
B.Distinct parallel lines
C.Perpendicular lines
D.Intersecting, but not perpendicular lines
Answer:
D
Step-by-step explanation:
[tex]2x-12y=24 \\ \\ x-6y=12 \\ \\ 6y-x=-12 \\ \\ 6y=x-12 \\ \\ y=\frac{1}{6}x-2[/tex]
The slopes of the lines are neither the same nor are they negative reciprocals, so the answer is D.
ms kit teaches 5 reading groups each group has 6 students find how many students ms.kit teaches today if 2 students are absent
If you know any of these please help!
An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices.
What is meant by angles?An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. It is referred to as dihedral angles. The angle formed by the rays lying perpendicular to the two crossing curves at the point of junction is another property of intersecting curves.Angle can also refer to the length of a rotation or an angle. This metric represents the relationship between a circular arc's length and radius.The arc is centered at the vertex and defined by the sides in the case of a geometric angle. When there is a rotation, the arc is defined by any other point and the rotation's image, and it is centered at the rotation's center.10. In the given figure,
l ║m
(3x - 29)° + (8y + 17)° = 180° [Because they are linear pairs]
⇒ 3x -29 + 8y + 17 = 180
⇒ 3x + 8y - 12 = 180
⇒ 3x + 8y = 192 ............ (1)
Now,
8y + 17 = 6x -7 [Alternate interior angles]
⇒ 6x - 8y = 24 ..............(2)
On adding (1) and (2),
(3x + 8y) + (6x - 8y) = 192 + 24
simplifying the above equation, we get
⇒9x = 216
⇒ x = 216/9 = 24
⇒ x = 24
Now, 6x - 8y = 24
⇒ 8y = 6(24) - 24
⇒ y = (144 - 24)/8
⇒ y = 120/8 = 15
So, x = 24 and y = 15
11. In this given figure,
l ║m
7x - 23 = 49 + 3x ...... (Alternate interior angles)
⇒ 7x - 3x = 49+23
⇒ 4x = 72
⇒ x = 18
11y -1 = 3x [Alternate exterior angles]
⇒ 11y - 1 = 3 x 18
⇒ 11y = 54 + 1
⇒ 11y = 55
⇒ y = 5
Therefore, the value of x = 18 and y = 5
12. 11. In this given figure,
l ║m
3x - 4 = 5x - 38 [Alternate interior angles]
⇒ 5x - 3x = 38 - 4
⇒ 2x = 34
⇒ x = 17
7y - 20 + 5x - 38 + 90° = 180° [Angle sum property of a triangle]
⇒ 7y - 20 + 85 - 38 + 90 = 180
⇒ 7y + 117 = 180
simplifying the above equation, we get
⇒ 7y = 180 - 117
⇒ 7y = 63
⇒ y = 63/7 = 9
Therefore, the value of x = 17 and y = 9
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Write the equation of the line that is parallel to line 3x - 2y = 8 and passes through the point (6, -3). Show ALL steps!
[tex] - 2y = 8 - 3x \\ \frac{ - 2y}{ - 2} = \frac{8}{ - 2} - \frac{3x}{ - 2} \\ y = \frac{3}{2} x - 4[/tex]
PARALLEL LINES HAVE EQUAL GRADIENTS.AS WE SEE IN THE EQUATION ABOVE THE GRADIENT IS
[tex] \frac{3}{2} [/tex]
IT MEANS THE GRADIENT OF THE NEW EQUATION IS ALSO
[tex] \frac{3}{2} [/tex]
NOW GIVEN THE POINTS WE CAN USE THE KNOWNS TO GET THE VALUE OF C IN THE NEW EQUATION.
[tex] - 3 = \frac{3}{2} (6) + c \\ - 3 = 9 + c \\ - 3 - 9 = c \\ c = - 12[/tex]
[tex]y = \frac{3}{2} x - 12[/tex]
Evaluate the expression 6 + 8f for f = 4.
A 8
B 18
C 38
D 56
P1-8
The answer is C:38
explanation: you multiply 8x4=32, so then you add 6 to 32
Hope this helped!
Help with this equation I need to turn it in
Answer:
y=12x+40
Step-by-step explanation:
The earnings are the initial payment per month plus the pay per hour times the number of hours.
What is the special angle pair relationship between 1 and 3?
Answer:
These pairs are called vertical angles, and they always have the same measure. ∠1 and ∠3 are vertical angles. ∠2 and ∠4 are vertical angles.
Angle 1 and angle 3 are on the same side of the two parallel lines with a transversal line on them.
The special angle pair relationship between 1 and 3 is called the corresponding angles.
What are corresponding angles?Corresponding angles are angles that occur on the same side of the transversal line and are equal in size.
We have,
Angle 1 and Angle 3.
The angles are on the same side of the two parallel lines with a transversal line on them.
The angles can be called the corresponding angles.
Thus,
The special angle pair relationship between 1 and 3 is called the corresponding angles.
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A is in the interior of NFL. If m/NFA = 5x+10, m/AFL = 30-2x, and m/NFL = 58°, find the value of x.
If A is in the interior of NFL. If m/NFA = 5x+10, m/AFL = 30-2x, and m/NFL = 58°, the value of x would be 6
How to determine the valueIt is important to note that the formula for determining the sum of interior angles of a shape is expressed as;
(n-2) 180
Where 'n' is the number of sides
From the information given, we have that the shape has 3 sides, so we have
(3 -2)180
180°
Give the angles as;
m/NFA = 5x+10m/AFL = 30-2x m/NFL = 58°Equate the angles to m/NFL, we have
5x+10 + 30-2x = 58
Now, collect like terms
5x - 2x = 58 - 40
Subtract like terms
3x = 18
Make 'x' the subject by dividing both sides by 3, we have
x = 18/3
x = 6
Thus, the value of 'x' is 3
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Given the function f described by f(x)=8x^2+4x-5 find the function values.
The two solutions of the quadratic function are 0.58 and -1.1.
What is the solution of a quadratic equation?The solution of a quadratic equation can be obtained using the substitution method or formula method.
The solution of the given quadratic function is determined as follows;
f(x) = 8x² + 4x - 5
0 = 8x² + 4x - 5
The formula method of a quadratic function is given as;
[tex]x = \frac{-b \ \ \pm \ \sqrt{b^2 - 4ac} }{2a}[/tex]
from the above equation, a = 8, b = 4, c = -5
[tex]x = \frac{-4 \ \ \pm \ \sqrt{4^2 - 4(8\times -5)} }{2a}\\\\x = \frac{-4 \ \ \pm \ \sqrt{16 + 160} }{2(8)}\\\\[/tex]
x = 0.58 or -1.1
Thus, the function has two solutions, a negative and positive solution.
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Question
Choose the English equivalent of the underlined word in the following sentence:
La pizarra es verde.
yellow
green
blue
red
Answer:
Green
Verde = green
A gate is made out of 7 panels of wood, each in which is 15.7 cm wide. between the panels there is a gap of 14.9 cm how wide is the gate in total and in cm?
Answer:
Total width of the gate in cm is equal to=> 109.9+89.4=199.3 cm
Step-by-step explanation:
GIVEN-
A gate is made out of 7 panels of wood, each of which is 15.7 cm wide. between the panels, there is a gap of 14.9 cm
THIS IS AN EASY SUMMATION PROBLEM-
FOR ONE PANEL WIDTH =15.7
FOR 7 PANEL'S WIDTH =15.7*7=109.9;
NOW, between the 7 panels, 6 gaps create
one gap =14.9 cm
six gap =14.9 * 6 =89.4 cm
so, the total width of the gate in cm is equal to=> 109.9+89.4=199.3 cm
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the answer is not 16 and I don't know how it's not 16 and I need someone to explain it to me what the real answer is cuz I already know what the real answer is and I don't understand how it's the real answer
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
Scale factor: 1 : 8
Scale drawing:
A = 2 cm²
Object:
A = ?
Step 02:
A = 2 cm² * (8 / 1) = 16cm²
Graph this inequality 7 < f
The graph of the inequality 7< f has been plotted.
The given inequality is 7 < f
The inequality states that the the relationship between two numbers. The relationships are greater than, greater than or equal to , less than, less than or equal to, equal to. These are the commonly used relationship between the two number in the inequality.
Here the inequality is 7 < f
The value of f is greater than 7
Plot the inequality in the graph
At the point 7 we use a small circle to represents the term greater than, if it was greater than or equal to we use a dot at that point
Hence, the graph of the inequality 7< f has been plotted
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Here are the ingredients needed to make 8 pancakes.
250 ml milk
egg
140 g flour
5 g butter
a)
Simon makes 4 pancakes.
Work out how much milk he needs.
b)
Craig makes 12 pancakes.
Work out how much butter he needs.
Find the slope of the line that passes
through these two points.
Point 1
(-4,6)
X1 Yı
m =
Point 2
(-1,3)
X2 Y2
92-91
X2-X1
m = [?]
The slope of the line is -1.
A line's slope is defined as the ratio of the change in y coordinate to the change in x coordinate.
Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by the symbols y and x, respectively to calculate the slope.The common form for two-variable linear equations is Ax + By = C , where the slope is -A/C.For instance, the linear equation 7x + 3y = 1 uses standard form. Finding an equation's two intercepts (x and y) is fairly straightforward with this procedure, the slope is -7/3 .The cartesian equation for a straight line is Y = mx + c, where m stands for the gradient or slope of the line and c for the point at which it intersects the y-axis.Now the given points are : (-4,6) and (-1,3)
We know that the slope of a line is given by :
[tex]m=\frac{y_2-y_1}{x_2-x_1}.[/tex]
Now we can put the values of the points to get the slope as
[tex]m=\frac{3-6}{-1-(-4)}\\\\[/tex]
or , m = -1
Hence the slope of the line is -1
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If an experiment with a random outcome is repeated a large number of times, the empirical probability of an event is likely to be close to the true probability. This mathematical theorem is called what?.
If an experiment with a random outcome is repeated a large number of times, the empirical probability of an event is likely to be close to the true probability. This mathematical theorem is called The Law of Large Numbers.
The Law of Large Numbers states that on the off chance that a test with an irregular result is repeated a huge number of times, the empirical probability of an event is likely to be near the true probability. The bigger the number of redundancies, the closer together these probabilities are likely to be.The law of large numbers does not ensure that a given test, particularly a little test, will reflect the genuine population characteristics or that a test that does not reflect the genuine population will be adjusted by a subsequent sample. The law of large numbers demonstrates a greater test will speak to a population mean, whereas the central tendency theorem states a greater test will speak to a population's distribution.
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x = 3 over 5 + y = 1 over 3 x z = 2 and 4 over 5
could you please re post the question clearly as right now I don't understand what this means, you can try just taking a picture of the question and attach it to your post
55=(5x+5) value of x
Answer:
x = 10
Step-by-step explanation:
55 = 5x + 5 Subtract 5 from both sides of the equation
50 = 5x Divide both sides by 5
10 = x
Answer:10
Step-by-step explanation:- 5 on both sides then you get 50=5x 50/5=10
( 4, 2 ) is a solution to the system of equations below: 2x + 4y = 16 ( 1 / 2 ) x − 2y = 4
The system of equations has two solutions, that is (4, 2).
Given,
There is a system of equations:
Equation 1: 2x + 4y = 16
Equation 2: (1/2)x - 2y = 4
The solution to the system of equations = (4, 2)
Lets check for the solution:
The equations are in the form of,
a₁x + b₁y + c₁ = 0
a₂x + b₂y + c₂ = 0
Here,
a₁ = 2 , a₂ = 1/2
b₁ = 4 , b₂ = 2
c₁ = 16 , c₂ = 4
Now we know that,
a₁/a₂ = b₁/b₂ = c₁/c₂
So,
a₁/a₂ = 2 / (1/2) = 4/1 = 4
b₁/b₂ = 4/2 = 2
c₁/c₂ = 16/4 = 4
Therefore, the system of equations has two solutions, that is (4, 2).
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3/x-1-4x-1/x+1 =x^2+5/x^2-1-5
After thoroughly calculating the equation, we conclude that x⁴ + 4x³ - 6x² - 2x + 25 is the simplified form of 3/x - 1 - 4x - 1/x + 1 = x² +(5/x)²- 1 - 5
What is a simplified form?When the top and bottom of a fraction are the same size and still whole numbers, the fraction is said to be in its simplest form or simplified form.
Using 2/4 as an example, 1/2 can be written.
Simplify a fraction by multiplying its top and bottom by the biggest number that will divide them both exactly (they must stay whole numbers). the outcome will be what we call the simplified form.
We have been asked to simply the equation
3/x - 1 - 4x - 1/x + 1 = x² +(5/x)²- 1 - 5
⇒ 3/x - 4x - 1/x + 6 = x² +(5/x)²
⇒ 2/x - 4x + 6 = x² +(5/x)²
⇒ 2/x - 4x²/x + 6x/x = x² +(5/x)²
⇒ (2 - 4x² + 6x)/x = x² +(5/x)²
Multiplying x to both side
⇒ 2 - 4x² + 6x = x² +(5/x)² × x
⇒ 2 - 4x² + 6x = x³ + 25/x
⇒ x³ + 4x² - 2 = 6x - 25/x
⇒ x³ + 4x² - 2 = 6x²/x - 25/x
⇒ x³ + 4x² - 2 = (6x²- 25)/x
Multiplying x to both side
⇒ (x³ + 4x² - 2) x = 6x²- 25
⇒ x⁴ + 4x³ - 2x = 6x²- 25
⇒ x⁴ + 4x³ - 6x² - 2x + 25
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2. John has $160 to spend on video
games. He spent $30 on a controller
and the rest on video games. If each
game costs $13, how many games did
he buy? (Write an equation using "g"
to represent the number of games.
Solve for g.)
He buy 10 games that costs $13.
What is equation?Equation, also known as a statement of equivalence between two expressions with variable- and/or number-based components. In essence, equations are questions, and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics.
An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated by the symbol "equal."
Given Data
John has $160 to spend on video games.
He spent $30 on a controller the rest on video games.
If each game costs $13
Equation
30 + 13g = 160
13g = 130
g = 10
He buy 10 games that costs $13.
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Question is in the image
Answer:
0
Step-by-step explanation:
7 is not in the sample space, meaning it is impossible. Therefore, the probability is 0.