What is the k value to this problem
The k value of the given problem is 8. The solution is obtained using the concept of algebra.
What is algebra?A branch of mathematics known as algebra deals with symbols and the fine operations performed on them. Variables are the name given to these symbols because they warrant set values.
Algebra aids in the result of fine problems and enables the derivate of unknown figures, similar as interest rates, rates, and probabilities. In order to remake the equations, we can express the associated unknown amounts using variables from algebra.
We are given equation: y=8x.
General form of an equation is y=kx where k is the constant of variation.
Also, y varies directly with both i.e. k and x.
So, from the above explanation, we find that k=8.
Hence, the k value of the given problem is 8.
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Q2: Determine whether the graphs of each pair of equations are parall
perpendicular or neither.
1. y = 3x + 4
y = 3x + 7
3. y = 2x-5
y = 5x -5
5. y = 3/5x - 3
5y = 3x - 10
7. y = 7x + 2
x + 7y=8
2. y = -4x+1
4y = x + 3
4. y=-1/3x + 2
y = 3x - 5
6. y = 4
4y = 6
8. y = 5/6x - 6
x + 5y = 4
Answer:
The graphs of y = 3x + 4 and y = 3x + 7 are parallel because their slopes are the same (3).
The graphs of y = 2x - 5 and y = 5x - 5 are neither parallel nor perpendicular because their slopes are not the same (2 and 5).
The graphs of y = 3/5x - 3 and 5y = 3x - 10 are neither parallel nor perpendicular. The first equation is not in slope-intercept form, and the second equation is not in standard form.
The graphs of y = 7x + 2 and x + 7y = 8 are neither parallel nor perpendicular. The first equation is in slope intercept form, but the second equation is not.
The graphs of y = -4x + 1 and 4y = x + 3 are perpendicular because the product of their slopes is -1.
The graphs of y = -1/3x + 2 and y = 3x - 5 are neither parallel nor perpendicular. The slopes are -1/3 and 3, which are not the same, so the lines are not parallel, and their product is not -1, so the lines are not perpendicular.
The graph of y = 4 is a horizontal line and the graph of 4y = 6 is not a function. So, they are neither parallel nor perpendicular.
The graphs of y = 5/6x - 6 and x + 5y = 4 are neither parallel nor perpendicular. The first equation is in slope intercept form, but the second equation is not.
Step-by-step explanation:
Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. x2 + (y – 3)2 = 36 x2 + (y – 5)2 = 6 (x – 4)² + y² = 36 (x + 6)² + y² = 144 x2 + (y + 8)2 = 36
(x - 4)2 + y2 = 36 and (x + 6)2 + y2 = 144 are the equations represent circles that have a diameter of 12 units and a center that lies on the y-axis
What is a diameter?In geometry, the diameter of a circle is the straight line passing through the center of the circle and connecting two points on the circumference.
Also, a diameter is a straight line that passes through the center of a circle or other curved object and has its endpoints on the circumference. It is the longest line that can be drawn in a circle and is equal to twice the radius.
Consequently, the equations that represent circles that have a diameter of 12 units and a center that lies on the y-axis are (x - 4)2 + y2 = 36 and (x + 6)2 + y2 = 144
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Evaluate the following expressions. Your answer must be an exact angle in radians and in the interval
the solutions of the following expressions are:
a) π/6
b) - π/6
c) - π/4
What is trigonometry?Trigonometry is the field of mathematics that deals with certain angles' functions and how to use such functions in computations. A common angle in trigonometry has six different functions. Sine, cosine, tangent, cotangent, secant, and cosecant are their names, respectively, as well as their acronyms.
The lengths, heights, and angles of various triangles are studied in relation to one another in mathematics. The field was created around the third century BC as a result of the use of geometry in astronomical research.
a)
tan ⁻¹ (√3/3)
= tan ⁻¹ (1/√3)
= tan ⁻¹ (tan π/6)
= π/6
b)
tan ⁻¹ (-√3/3)
= tan ⁻¹ (-1/√3)
= tan ⁻¹ (tan - π/6)
= - π/6
c)
tan ⁻¹ (-1)
= tan ⁻¹ (tan - π/4)
= - π/4
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10. A doctor's office schedules 10-minute and 20-minute appointments. The doctor also makes hospital rounds
for four hours each weekday. Suppose the doctor limits these activities to, at most, 30 hours per week. Write
a lincar inequality to show the number of 10-minute and 20-minute appointments the doctor can schedule and
graph the solutions. What are three possible solutions to the problem?
Three possible solution of this problem are(x = 10, y = 0)(x = 6, y = 3),(x = 0, y = 6).
What is inequality?Inequality is the unequal distribution of resources, opportunities, and advantages among different people. It can be caused by a variety of factors, such as discrimination, unequal access to education, lack of economic opportunities, or social exclusion. Inequality has a negative effect on society, as it can lead to poverty, health issues, and a lack of economic growth. It is important to address inequality in order to create a more equitable society and ensure everyone has the same opportunities for success.
Linear Inequality: 10x + 20y ≤ 30,(x = 6, y = 3),
where x is the number of 10-minute appointments and y is the number of 20-minute appointments.
Graph:
The graph of the linear inequality 10x + 20y ≤ 30 is a half-plane, with a boundary line of 10x + 20y = 30 and a solution region of 10x + 20y ≤ 30.
Possible Solutions:
1) 10 10-minute appointments and 0 20-minute appointments (x = 10, y = 0)
2) 6 10-minute appointments and 3 20-minute appointments (x = 6, y = 3)
3) 0 10-minute appointments and 6 20-minute appointments (x = 0, y = 6).
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Solve for r
9/p=8q-3/r
Answer:
r=8/3q-3/p
Step-by-step explanation:
9/p=8q-3r
9/p+3r=8q
3r=8q-9/p
3r/3=8q/3-(9/p)/3
r=8q/3-3/p
Cindy jacobs borrowed 100 shares of stock from her broker, and then sold the stock for $45 a share ($4500). The commission was $65. A month later, the price of the stock was $42.50 a share, so she bought the 100 shares. The commission was $60. She returned the 100 shares to the broker
Cindy made a loss of $75 ($4,435 - $4,310) on this transaction.
Who are investors in Class C?A level load that comprises yearly fees for fund marketing, distribution, and servicing, set at a fixed percentage, is one feature of class C mutual fund shares. These charges are a commission paid to the company or person assisting the investor in selecting the fund they want to participate in.
Cindy made a profit or loss on this transaction as follows:
Cindy sold the 100 shares for $45 each, for a total of $4,500.
She paid a commission of $65 to the broker, so her net proceeds from the sale were $4,435 ($4,500 - $65).
A month later, the price of the stock was $42.50, so Cindy bought 100 shares for a total cost of $4,250 ($42.50 x 100).
She paid a commission of $60 to the broker, so her net cost of buying the shares was $4,310 ($4,250 + $60).
Therefore, Cindy made a loss of $75 ($4,435 - $4,310) on this transaction.
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Find the value of b x 9 when b = 4
Answer: 36
Step-by-step explanation:b=4 4x9=36
Here is a list of numbers:
−
3
,
12
,
−
18
,
2
,
−
18
,
−
9
,
−
12
,
−
16
,
−
4
,
−
5
State the median.
The median of the list of numbers is -7.
What is Median?Median is the middle element when the data set is arranged in an increasing or decreasing order.
Given numbers are :
-3, 12, -18, 2, -18, -9, -12, -16, -4, -5
Write the numbers in the ascending order.
-18, -18, -16, -12, -9, -5, -4, -3, 2, 12
There are 10 numbers in the list which is even.
So the median is the average of the middle two elements.
Middle elements are -9 and -5.
Median = (-9 + -5) / 2 = -7
Hence the median of the set is -7.
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Kyle draws a quadrilateral with a perimeter of 30 centimetres. What is the maximum possible area of Kyle's shape?
Answer:
225 square cm.
Step-by-step explanation:
The maximum possible area of Kyle's quadrilateral occurs when it is a square with side length equal to half the perimeter, which is 30/2 = 15 cm. The area of a square with side length 15 cm is 15 x 15 = 225 square cm.
Please help ill give brainliest
The diagram showing parallel lines and the related angles is used to fill the information
d Nail salon
c Community Center
g Library
e Gas Station
a Clothing Store
f Pet Store
h Restaurant
b Park
What is same side exterior angle?Two angles that are inside (between) the two lines, more especially on the same side of the transversal, are referred to as same side inside angles.
Vertical angels are the angles that are the opposite angles formed when two lines cross. They are equal to each other.
Angles with the same size that are found on opposing sides of the transversal line are known as alternate angles. Angles that alternate are equal:
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which of the following is an odd function?
f(x) = 3x2 + x
f(x) = 4x3 + 7
f(x) = 5x2 + 9
f(x) = 6x3 + 2x
Answer:
(d) f(x) = 6x³ + 2x
Step-by-step explanation:
You want to identify the odd function from a list of functions:
f(x) = 3x² + xf(x) = 4x³ + 7f(x) = 5x² + 9f(x) = 6x³ + 2xOdd functionAn odd polynomial function will have terms with only odd powers of x. Functions containing constant terms or squared terms cannot be odd functions.
f(x) = 3x² + x — has a squared termf(x) = 4x³ + 7 — has an added constantf(x) = 5x² + 9 — has a squared termf(x) = 6x³ + 2x — this is an odd function__
Additional comment
An odd function can be identified by the fact that it satisfies ...
f(-x) = -f(x)
Its graph is symmetrical about the origin.
Answer:
D
Step-by-step explanation:
A given rectangle has a length expressed as 4x^3 + 2x^2 -6x + 3 and a width expressed as 2x^2 + 6x.
Therefore , the solution of the given problem of rectangle comes out to be area = 8x⁵ + 28x⁴ -30x² +18x.
Rectangle: What is it?In Euclidean plane geometry, a rectangle is a square with four right angles. You may also refer to it as a quadrilateral that seems to be equiangular, meaning that each of its angles is equal. Another possibility for the parallelogram is a straight angle. Four of the sides of a square are of identical length. Four 90 ° vertices and equal equal sides make up a rectangle-shaped quadrilateral.
Here,
Given :
Length of rectangle = 4x³ + 2x² -6x +3
and
Width = 2x² + 6x.
Thus ,
Area of rectangle = length * width
=> (4x³ + 2x² -6x +3) * (2x² + 6x)
=> 8x⁵ + 28x⁴ -30x² +18x
Therefore , the solution of the given problem of rectangle comes out to be area = 8x⁵ + 28x⁴ -30x² +18x.
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Segment KM is parallel Segment JN. What is the scale factor?
Answer:first option
Step-by-step explanation:
Jamal sliced an orange into four equal pieces he ate one slice what fraction of the orange did Jamal eat?
it would be 3/4 with is three over four
given that f(n)=8n-4 evaluate f with the indicate values a) f(5)
The value of the equation is f ( 5 ) = 36
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
f ( n ) = 8n - 4 be equation (1)
Now , when the value of n = 5 , we get
Substitute the value of n = 5 in the equation , we get
f ( 5 ) = 8 ( 5 ) - 4
On simplifying the equation , we get
f ( 5 ) = 40 - 4
f ( 5 ) = 36
Hence , the value of equation is f ( 5 ) = 36
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You and a friend tutor for a total of 12 hours. Use the tape diagram to find how many hours you tutor.
You:
Friend:
Your tutor for ___ hours.
1)
You tutor for 9 hours.
2)
You tutor for 4 hours.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
From the tap diagram,
1)
You have three parts.
A friend has one part.
This means,
4 parts = 12 hours
1 part = 3 hours
Now,
You = 3 parts = 3 x 3 = 9 hours.
2)
You have two parts.
A friend has four parts.
This means,
6 parts = 12 hours
1 part = 2 hours
Now,
You = 2 parts = 2 x 2 = 4 hours.
Thus,
You tutor for 9 hours.
You tutor for 4 hours.
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1+6x+1+ 8= 1+ 7x + 2x
Answer:
x = 3
Step-by-step explanation:
Solve for x:
6 x + 1 + 1 + 8 = 7 x + 2 x + 1
Grouping like terms, 6 x + 1 + 1 + 8 = 6 x + (1 + 1 + 8):
(6 x + (1 + 1 + 8)) = 7 x + 2 x + 1
1 + 1 + 8 = 10:
6 x + 10 = 7 x + 2 x + 1
Grouping like terms, 7 x + 2 x + 1 = (7 x + 2 x) + 1:
6 x + 10 = ((7 x + 2 x) + 1)
7 x + 2 x = 9 x:
6 x + 10 = 9 x + 1
Subtract 9 x from both sides:
(6 x - 9 x) + 10 = (9 x - 9 x) + 1
6 x - 9 x = -3 x:
-3 x + 10 = (9 x - 9 x) + 1
9 x - 9 x = 0:
-3 x + 10 = 1
Subtract 10 from both sides:
(10 - 10) - 3 x = 1 - 10
10 - 10 = 0:
-3 x = 1 - 10
1 - 10 = -9:
-3 x = -9
Divide both sides of -3 x = -9 by -3:
(-3 x)/(-3) = (-9)/(-3)
(-3)/(-3) = 1:
x = (-9)/(-3)
The gcd of -9 and -3 is -3, so (-9)/(-3) = (-3×3)/(-3×1) = (-3)/(-3)×3 = 3:
Answer: x = 3
Answer:
X = 1
Step-by-step explanation:
start by simplifying both sides
6x + 10 = 1 + 9x
Next, subtract 6x from both sides
10 = 1 + 9x
Next subtract 1 from both sides
9 = 9x
Divide by 9 from both sides
X = 1
What is the value of Y in this equation? X+Y=5 and 2X-Y=7
Step-by-step explanation:
88888 ists kakakskwkakq
Answer:y=3/2
Step-by-step explanation:
Given that the focus of a parabola is (−3, −5/4) and the directrix is y=−3/4, what is the equation of the parabola? Please help me
Answer: The equation of a parabola is given by (y + 1/4) = 2*sqrt(10)x where the vertex is (0, -1/4) and the distance between the vertex and the focus is 2sqrt(10)
This equation is derived by using the standard form equation of a parabola and the given focus and directrix values.
Step-by-step explanation: A parabola can be defined by the set of points that are equidistant to the focus (F) and the directrix (d). The standard form equation of a parabola is (y - k) = 4p(x - h) where (h, k) is the vertex and p is the distance between the vertex and the focus or directrix. In the given scenario, the focus is (-3, -5/4) and the directrix is y = -3/4. By using these values we can find the distance between the vertex and the focus which is 2sqrt(10) and the vertex is (0, -1/4). Then we can substitute these values into the standard form equation to get the equation of the parabola (y + 1/4) = 2sqrt(10)*x.
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(Look at picture) and ty btw <3
The system of inequalities to represent this real-world scenario is
[tex]\left \{ {{x + y \leq 450} \atop {7x + 4y \leq 1150}} \right.[/tex]
Explain the system of inequalities?A group of two or more inequalities in one or more variables is referred to as a system of inequalities. When a problem demands a variety of solutions and those solutions must satisfy many constraints, systems of inequalities are utilised.Polynomial inequality, rational inequality, and absolute value inequality are the many forms of inequalities that can exist in mathematics.A system of inequalities can be solved by graphing each individual inequality and then determining where the multiple solutions overlap.Multiply all terms by the fractions' least common denominator to get rid of any fractions.Simplify the inequality by merging like words on either side.To get the unknown on one side and the numbers on the other, add or subtract the appropriate amounts.Given data :
Let x be the number of adults and y be the number of campers.
There are rooms for 450 people, so
x+y≤450.
Each adult costs $7, then x adults cost $7x.
Each camper costs $4, then y campers cost $4y.
There is a maximum budget of $1,150, so
7x+4y≤1,150
Hence, you get the system of two inequalities:
[tex]\left \{ {{x + y \leq 450} \atop {7x + 4y \leq 1150}} \right.[/tex]
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Find the volume of a square based pyramid with a base length of 10 and a height of 14.
Volume of a square pyramid with base length (a) 10 and height(h) 14 is
466.67 cubic units.
What is a pyramid ?A pyramid is a polyhedron that is created by joining an apex and a polygonal base. A triangle known as a lateral face is formed by each base edge and apex. It has a polygonal basis and is a conic solid. There are n + 1 vertices, n + 1 faces, and 2n edges in a pyramid with an n-sided base. Every pyramid is dual in itself.
A pyramid with a square base is known as a square pyramid. It is a right square pyramid with symmetry if the apex is perpendicular to and above the square's center. It is an equilateral square pyramid, the Johnson solid, if all edge lengths are equal.
A square pyramid has the following characteristics:
5 Faces.Triangles make up the 4 side faces.It has a square base.It has 8 Edges and 5 Vertices (corner points).Volume of a square pyramid with base length (a) 10 and height(h) 14 is
V = (1/3)*(a)²h = 10²*14/3 = 466.67 cubic units.
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6. Tara is solving an equation. Her first step is shown below
Solve: 4y - 8(y-2) = 6
Step 1: 4y - 8y + 16 = 6
Which property justifies Tara's first step?
O Associative Property of Multiplication
O Identity Property
s
O Distributive Property
Subtraction Property of Equality
re to show all your work to
Answer:
Distributive property
Step-by-step explanation:
8 x y = 8y, -8 x -2 = 16
Use the unit circle to find the value of sin (-90)
The value of Sin(90) is equal to 1.
What are trigonometric functions?In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent.
Given here: Sin(90) and to find the value using the unit circle
Rotate ‘r’ anticlockwise to form a 90° angle with the positive x-axis.
The sin of 90 degrees equals the y-coordinate(1) of the point of intersection (0, 1) of unit circle and r.
The value of sin 90 degrees can be calculated by constructing an angle of 90° with the x-axis, and then finding the coordinates of the corresponding point (0, 1) on the unit circle. The value of sin 90° is equal to the y-coordinate (1). ∴ sin 90° = 1.
Hence, Sin (90) is equal to 1.
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a person buys 5 cups of coffee at a kiosk in the mall. the bill is under $20.00. what is the cost of each cup?
Answer: So the cost of each cup is $4.00.
We know that the cost of 5 cups of coffee is under $20.00. To find out the cost of each cup we need to divide the total amount by the number of cups.
$20.00 / 5 = $4.00
So the cost of each cup is $4.00.
Step-by-step explanation:
hope this helps
well this could go two different ways.
all five cups could be one dollar each and it would simply just be $5.
you could also do all five cups could cost 2 dollars each that would equal 10 dollars in total
Solve this fraction and show your work
9/28 +29/70=?
Answer:
103/140
or
0.74
Step-by-step explanation:
9/28 +29/70
taking L.C.M of 29 and 70
= (9×5 + 29×2)/140
= (45 + 58)/140
= 103/140
= 0.74
Help me please i dont not know the answer
Answer:
i believe the answer would be both c and f
-8x + 2 > 0Solve the following inequalities. Be sure to follow the rules for operations with signed numbers.
[tex]-8x+2 > 0[/tex]
Subtract 2 from both sides:
[tex]-8x+2-2 > 0-2[/tex]
[tex]-8x > -2[/tex]
Divide both sides by -8:
[tex]\dfrac{-8x}{-8} > \dfrac{-2}{-8}[/tex]
(Since we are dividing by a negative number, the sign will reverse)
[tex]x < \dfrac{1}{4} \texttt{ or }x < 0.25[/tex]
Simplify this fraction 12/16 to lowest terms and find an equivalent fraction that has a denominator of 32.
A. 3/4, 12/32
B. 2/6, 24/32
C. 3/4, 24/32
D. 6/8, 28/32
Show your work on how you got your answer
Answer: C
Step-by-step explanation:
12/4=3
16/4=4
3*8=24
4*8=32
To simplify 12/16 to lowest terms, we can divide both the numerator and denominator by their greatest common factor, which is 4:
12/16 = 3/4
Now we need to find an equivalent fraction with a denominator of 32. To do this, we can multiply both the numerator and denominator of 3/4 by 8:
3/4 = (38)/(48) = 24/32
So the answer is C. 3/4, 24/32.
Height Consider the fountain shown. The initial velocity of the stream of the water is 48 feet per second. The velocity v of the water at any time t (in seconds) is given by v = 48 − 32t. Find the time for a drop of water to travel from the base to the maximum height of the fountain. (Hint: The maximum height is reached when v = 0.)
A drop of water will reach the maximum height after 1.5s.
How long takes a drop of water to reach the maximum height?The velocity of the water is modeled by the linear equation:
v(t) = 48 - 32t
And the water reaches the maximum height when the velocity is zero.
Then we just need to solve the equation below:
48 - 32t = 0
48 = 32t
48/32 = t
1.5 = t
So it takes 1.5 seconds for a drop of water to reach its maximum height.
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