The line which is parallel to the given line y=-4/3x+1 is y = -4/3x + 2
What is the equation of the line?
The general equation of a straight line is y = mx + c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis. Key Point. The equation of a straight line with gradient m and intercept c on the y-axis is y = mx + c.
Given that the equation of the line is:
y = -4/3x + 1 ..........(1)
To find the equation of the line is parallel to the given line equation.
We know that the given equation is in the slope-intercept form
y = mx+c, where m is the slope and c, is the intercept.
Compare with given equation(1) we get
m = -4/3 and c=1
Now change the y-intercept c=1 to an intercept of c= 2
Therefore (1) becomes
y = -4/3x + 2
Hence, The equation of line y = -4/3x + 2 is the parallel line to the given equation of the line.
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Find the H.C.F. of 567 and 255 using Euclid’s division lemma.
Step-by-step explanation:
To find the Highest Common Factor (H.C.F.) of 567 and 255 using Euclid's division lemma, we can follow these steps:
Step 1: Apply Euclid's division lemma:
Divide the larger number, 567, by the smaller number, 255, and find the remainder.
567 ÷ 255 = 2 remainder 57
Step 2: Apply Euclid's division lemma again:
Now, divide the previous divisor, 255, by the remainder, 57, and find the new remainder.
255 ÷ 57 = 4 remainder 27
Step 3: Repeat the process:
Next, divide the previous divisor, 57, by the remainder, 27, and find the new remainder.
57 ÷ 27 = 2 remainder 3
Step 4: Continue until we obtain a remainder of 0:
Now, divide the previous divisor, 27, by the remainder, 3, and find the new remainder.
27 ÷ 3 = 9 remainder 0
Since we have obtained a remainder of 0, the process ends here.
Step 5: The H.C.F. is the last non-zero remainder:
The H.C.F. of 567 and 255 is the last non-zero remainder obtained in the previous step, which is 3.
Therefore, the H.C.F. of 567 and 255 is 3.
Which of the following equations represent linear functions?
The picture will be shown
Describe the rule for continuing this sequence
44 41 38 35 32
Subtract 3 every time
Answer:
subtract 3
Step-by-step explanation:
44 - 3 = 41
41 - 3 = 38
38 - 3 = 35, and so on.
The Egyptians used a ramp
that could hold 1,000 pounds.
If 6 people got on the ramp
and they weighed 780 pounds
total. What percentage of the
ramp's weight capacity is still
available?
Answer:
22%
Step-by-step explanation:
Well if the ramp can hold 1000lbs and 6 people all weight 780 in total (they must be really fat lol, but anyway) we can make the following fraction.
780/1000
So now we simplify the fraction to 39/50.
And do 39 / 50 = .78
To make that a percent we move the decimal point 2 times to the right so 78% of the ramp‘s capacity is being used meaning there is stil 22% capacity left.
help! it's for a cba :((
Answer:
x = 33
Step-by-step explanation:
103 = 3x +4
99 = 3x
3x = 33
For a school fundraiser, Mai will make school spirit bracelets. She will order bead wiring and alphabet beads to create the school name on the bracelets. Mai must spend $250 on wire and $5. 30 per bracelet for beads.
Complete the table giving the total cost Mai will spend to make each specific number of bracelets.
number of bracelets cost in dollars
20
40
60
Write an expression for the cost of making LaTeX: nn bracelets.
What is the maximum number of bracelets Mai can make with a budget of $1,500?
The maximum number of bracelets Mai can make with a budget of $1,500 is 500.
1. Calculate the cost of making one bracelet:
Cost of wire + cost of beads = $250 + $5.30 = $255.30
2. Calculate the total cost of making nn bracelets:
Cost of making nn bracelets = nn × $255.30
3. Set the equation equal to $1,500 and solve for nn:
$1,500 = nn × $255.30
$1,500 ÷ $255.30 = nn
n = 5.90
4. Round down to the nearest integer:
n = 5
Therefore, the maximum number of bracelets Mai can make with a budget of $1,500 is 500.
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expressions for 50-42+10
Answer: look it up on calculator
Step-by-step explanation:
How long did it take the pizza to reach 0 degrees Celsius?
Answer:
it will take 0.75 minutes the pizza to reach 0 degree Celsius.
Step-by-step explanation:
initial temperature of pizza is about -6 degree Celsius. As time is increasing temperature of pizza is also getting less negative and it is approaching to zero. At t= 0.75 minutes our function h (t) equals zero.
Members of the band are selling candy bars to raise money. The director uses this equation to calculate the amount of profit, p, made from selling n candy bars.
p = 1.50n - 500
How many candy bars must be sold to make a profit of $700?
A.
134
B.
300
C.
800
D.
967
Answer:
800
Step-by-step explanation:
Answer:
C. 800
Step-by-step explanation:
p = 1.50n - 500
700 = 1.50n - 500
1200 = 1.50n
n = 800
The numbers 176 and 342, written as the products
of their prime factors, are 176 = 24 x 11 and
342 = 2 x 32 x 19. Hence, find the smallest whole
number that is divisible by both 176 and 342.
The smallest whole number that can be divisible by both 176 and 342 is 30096.
To find out the least whole number that is divisible by two numbers, we have to find out the LCM. LCM is the least common multiple. This is done by factorization. We have to factorize both numbers. Prime factorization means we have to write the number as a product of prime numbers.
176 = 2×2×2×2×11= 2⁴× 11
342 = 2×3×3×19 = 2 × 3² × 19
According to the prime factorization method, we have to multiply the highest powers.
So LCM = 2⁴× 3²× 11 ×19
= 30096
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Find the distance between the pair of points.
(1, 1) and (1, −4)
the distance between the pair of points is
____units.
q2.find the coordinates of the point for the reflection.
(4, 6.2) across the y-axis
the coordinates of the reflection are
The distance between the points (1, 1) and (1, -4) is 5 units and the reflection of the coordinate points is (-4, 6.2).
(a) We need to find the length between the pair of points which are (1, 1) and (1, −4). It can be determined by using the distance formula. The formula to find the distance between two points (x1, y1) and (x2, y2) is given as,
\(d = √(x2−x1)²+(y2−y1)²\)
Given data:
The first points are = (1, 1)
second points are =(1, −4)
Substituting the first and second values into the distance formula, we get:
= √(1−1)²+(−4−1)²
= √0+(−5)²
= √25
= 5
Therefore, The distance between the points (1, 1) and (1, -4) is 5 units.
(b )We need to find the reflection of the coordinate point. According to the reflection rule when a point is reflected across the y-axis, the x-coordinate changes sign while the y-coordinate remains the same. The reflected point will be,
= (x, y) = (-x, y).
Given Data:
Coordinate points = (4, 6.2)
According to the rule, it is given as:
= (4, 6.2)
= (-4, 6.2)
Therefore, the reflection of the coordinate points is (-4, 6.2)
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HURRY PLEASE!! find the lcm of 3x^2-6x-24 and 9x^2-36
Answer:
yeeeeeeeeeeee
Step-by-step explanation:
Answer:
9(x - 2)(x - 4)(x + 2)
Step-by-step explanation:
3x^2 - 6x - 24
= 3(x^2 - 2x - 8)
= 3(x - 4)(x + 2)
9x^2 - 36
= 9(x^2 - 4)
= 9(x - 2)(x+ 2)
So the LCM is:
9(x - 2)(x - 4)(x + 2)
The shapes below are similar. Find the length x. Will mark brainliest!!!!!!
The value of x is 8 mm.
What are Similar Figures ?Similar Figures are the figures in which all the sides of one figure are in same ratio with the other side.
Two figures are given which are similar to each other .
When two figures are in ratio a:b then Area will be in ratio a² : b²
Area of figure 1 = 22 sq.mm
Area of figure 2 = 352 sq.mm
A1 :A2 = 22 /352
a² : b² = 1 / 16
a:b = 1/4
Therefore the bigger figure is 4 times the small figure .
The 4mm side will be 16 mm in the larger figure
The difference will be the value of x
x = 24 -16 = 8 mm
Therefore the value of x is 8 mm.
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Answer:
x = 8
Step-by-step explanation:
Similar shapes are dilations of each other using a scale factor.
As the area of both figures has been given, the scale factor that maps the green figure to the yellow figure can be calculated:
\(\implies \textsf{Scale factor (area)} = \dfrac{\textsf{area of yellow figure}}{\textsf{area of green figure}} = \sf \dfrac{352}{22} = 16\)
Area is measured in square units. Therefore, to find the scale factor for length, square root the scale factor for area:
\(\begin{aligned}\implies \textsf{Scale factor (length)} & = \sf \sqrt{\textsf{Scale factor for area}} \\ & =\sf \sqrt{16}\\ & = \sf 4 \end{aligned}\)
Use the found scale factor for length to find the perimeter of the yellow figure:
\(\begin{aligned} \sf \implies \textsf{Perimeter (yellow fig)} & = \sf \textsf{perimeter (green fig)} \times scale\:factor \\ & = \sf 26 \times 4 \\ & = \sf 104\: mm \end{aligned}\)
Find the missing horizontal lengths of the yellow figure by using the corresponding length of the green figure:
⇒ 4 mm × 4 = 16 mm
⇒ 24 mm - 16 mm = 8 mm
Let the height of the yellow figure be y.
⇒ 24 + 8 + 16 + y + x + (y - x) = perimeter
⇒ 48 + 2y = 104
⇒ 2y = 56
⇒ y = 28 mm
Divide the yellow figure into two rectangles (see attachment).
Area of left rectangle = y × 8 = 28 × 8 = 224 mm²Area of right rectangle = 16x mm²To find x, sum the areas of the rectangles and equate to 352:
⇒ 224 + 16x = total area
⇒ 224 + 16x = 352
⇒ 16x = 128
⇒ x = 8
two groups of rats were trained to navigate a runway for food. one group earned a single food pellet, the other received three pellets. what will happen when they are both shifted to a situation in which they earn the alternative reward
When both groups are shifted to a situation in which they earn an alternative reward after being trained to navigate a runway for food, the group that received three food pellets will continue to perform the task at a high level while the group that received one food pellet will experience difficulty.
It is known that rats have a natural preference for higher rewards. As a result, the group that received three pellets will be more motivated to complete the task since they have already tasted a higher reward. Therefore, they will continue to perform at a high level in the new environment.
On the other hand, the group that received only one pellet may find it challenging to adapt to the new situation since they are now receiving a lower reward. As a result, they may struggle to complete the task, and their performance may decrease.
In conclusion, the group that received three pellets will perform better than the group that received one pellet when both groups are shifted to a situation in which they earn an alternative reward. This is because the rats have a natural preference for higher rewards.
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f and g are functions such that f(x) = 3x^2 , g(x) = 2x^3
Answer:
Please provide a question to be answered.
in fgh, k is the midpoint of GH what type of segment is fk?
Answer:
Option (1)
Step-by-step explanation:
Median:
A line joining the vertex to the midpoint of opposite side of the triangle.
Altitude:
Perpendicular drawn from a vertex to the opposite side of the triangle.
Angle bisector:
A line bisecting the angle of a triangle.
Perpendicular bisector:
A perpendicular line joining the vertex and the mid point of the opposite side of the triangle.
Hence, Option (1) Median will be the correct option.
Write the equation of the line that passes through the given points.
1,2.5) and (0,-1.5)
Answer:
y = 4x - 1.5
Step-by-step explanation:
We need to find the slope (m) and the y-intercept (b), if we are writing this in the slop intercept form of a line.
y =mx + b
The slope is the change in y over the change in x.
The two points give us the y's ad x's
The y's are: -1.5 and 2.5
The x's are: 0 and 1
\(\frac{-1.5 - 2.5}{0-1}\) = \(\frac{-4}{-1}\) = 4 A negative divided by a negative is a positive.
We have the slope. The slope is the point (0,b). We are given that point.
(o, -1.5) The y-intercept is -1.5
y =mx + b
y = 4x - 1.5
Which of the following is the solution of the quadratic equation xଶ 3x − 10 0?
The solutions of the quadratic equation x^2 + 3x - 10 = 0 are x = 4 and x = -1.
The solution of the quadratic equation x^2 + 3x - 10 = 0 can be found by using the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / 2a
Where (a, b, and c) are 1, 3, and -10
So, the solutions of the equation x^2 + 3x - 10 = 0 are:
x = (-3 ± √(3^2 - 4(1)(-10)) ) / 2(1)
x = (-3 ± √(9 + 40)) / 2
x = (-3 ± √49) / 2
x = (-3 ± 7) / 2
x = (4, -1)
Complete question:
Which of the following is the solution of the quadratic equation x^2 - 3x − 10 = 0?
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What value of "x" makes the equation below true?
–2(1 – 5x) = 4 – 4(-2x)
Answer:
x = 3
Step-by-step explanation:
Step 1 - Expand the brackets:
-2(1 - 5x) = 4 - 4(-2x)
-2 - (-5x) = 4 - (-8x)
-2 + 10x = 4 + 8x
Step 2 - Subtract 8x from both sides:
-2 + 10x - 8x = 4 + 8x - 8x
-2 + 2x = 4
Step 3 - Add 2 to both sides and isolate 2x:
-2 + 2x + 2 = 4 + 2
2x = 6
Step 4 - Divide by two:
2x ÷ 2 = 6 ÷ 2
x = 3
Hope this helps!
A leaky valve on the water meter overcharges Ahmed for one Liter of water for every 2 months. The overcharged amount w varies directly with time t . (a) Find the equation that models the variation . (b) Solve the equation to find the number of months it will take for Ahmed to be overcharged for 10 liters of water leaked. Show all your steps
Answer:
20 months
Step-by-step explanation:
A leaky valve on the water meter overcharges Ahmed for one Liter of water for every \(2\) months. The overcharged amount \(w\) varies directly with time \(t\).
(a)
As the overcharged amount \(w\) varies directly with time \(t\),
\(w=kt\)
Here, \(k\) is a constant.
A leaky valve on the water meter overcharges Ahmed for one Liter of water for every \(2\) months.
Put \(w=1\,,\,t=2\)
\(1=2k\\k=\frac{1}{2}\)
So,
\(w=\frac{t}{2}\)
(b)
To find the number of months it will take for Ahmed to be overcharged for 10 liters of water leaked, put \(w=10\) in \(w=\frac{t}{2}\)
\(10=\frac{t}{2}\\\\t=10(2)\\\)
\(t=20\) months
Which problem solving strategy
would be best to solve this problem?
Jim and Lillian are painting a
wall that is 15 ft wide and 9 feet tall. How much
paint will they need to buy?
Jim and Lillian are painting a wall that is 15 ft wide and 9 feet tall and they will need to buy $ 135x of paint to paint the whole wall, where "x" is the cost of painting per square feet of the wall.
To solve this question, we will move ahead with a very direct approach of problem solving which is, step-by-step formulation.
First, we will calculate the area of the wall to be painted by using the formula to calculate the area of a rectangle which goes as
\((l*b)\) sq. feet where, "l" is the length or height of the rectangle and "b" is the breadth or width of it.
Then, we will just multiply the calculated area with the rate of painting per unit.
Here, as per data provided in the question statement, the wall to be painted is 15 ft wide and 9 feet tall, i.e., (l = 15) and (b = 9).
Therefore, area of the wall = \((15*9)=135\) square feet.
And since, no rate of painting is provided, let us assume that the rate of painting per square feet is $ x, then, amount of paint to be purchased to paint the wall will be \((135*x)=$135x\) Dollars.
Rectangle: In Euclidean plane geometry, a rectangle is a quadrilateral with four right angles and two pairs of parallelly opposite equal sides, i.e., more specifically can be defined as a parallelogram with all four interior angles being right-angles.To learn more about Rectangles, click on the link below.
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help me please!
Without a calculator, choose the statement that best describes the value of√74.
Choose 1 answer:
A: the value of √74 is between 8 and 8.5
B: the value of √74 is between 8.5 and 9
C: the value of √74 is between 9 and 9.5
D the value of √74 is between 9.5 and 10
Answer:
B
Step-by-step explanation:
Well you can get rid of c and d since 9^2 = 81. so 74 is less than 81 so it's definitely less than 9. Now, we know it's between 8 and 9. try multiplying 8.5 x 8.5 = 72.25. So our ranges are
A) 64 - 72.25
B) 72.25 - 81.
74 falls between 72.25 - 81. So it'll be B
As bria's distance from her house increases from 80 yards to 190 yards, her distance from the bus stop varies from ______ yards to ________ yards.
Answer:
This really needs more information to answer correctly. What is bria's movement relative to the bus stop? Is she moving towards it, away, or to the side?
Step-by-step explanation:
Lacking this information, I can only say that as Bria's distance increases as she moves away from the bus stop (an assumption of direction). Let's say the bus stop is x yards distant in the other direction. Bria's distance from the bus stop varies from x+80 yards to x+190 yards. The signs would change if she were moving towards the bus stop. And they'd be something entirely different if a different angle were involved.
how would I translate this sentence into an equation? Twice the difference of a number and 5 is 9use the variable w for the unknown number
Problem: how would I translate this sentence into an equation?
Twice the difference of a number and 5 is 9
use the variable w for the unknown number.
Solution:
Denote the unknown number by w.
Now, the difference between a number (w) and 5 is:
w-5
twice the above is:
2(w-5)
and from the statement we know that the above must be equal to 9, that is:
2(w-5) = 9
then, the solution would be:
2(w-5) = 9
If a certain number is decreased by eight and the difference is multiplied by eight the result is equal to the result obtained if the numbers decreased by six and the difference is multiplied by six find the number.please help!!!!!!quickly!thankyou!
Answer:
14
Step-by-step explanation:
A hendecagon is graphed on a coordinate grid and then dilated by a scale factor of 5 with the origin as the center of dilation. Vertex A of
the original hendecagon is located at (-8, 7). Write the ordered pair
that represents the location of vertex A after the dilation.
Answer: The ordered pair that represents the location of vertex A after the dilation is (-40, 35).
Step-by-step explanation:
How do we dilate a figure with the origin as the center of dilation?
To dilate a figure with the origin as the center of dilation, we multiply the coordinates of each point by the scale factor. This has the effect of stretching or shrinking the figure, depending on whether the scale factor is greater than or less than 1.
To dilate a figure by a scale factor of 5 with the origin as the center of dilation, we need to multiply the x- and y-coordinates of each point in the figure by 5.
So, to find the coordinates of vertex A after the dilation, we start with the coordinates of vertex A before the dilation, which are (-8, 7).
Then, we multiply the x-coordinate by 5 to get (-8)5 = -40, and we multiply the y-coordinate by 5 to get (7)5 = 35.
Vertex A is located at (-8, 7). If we multiply these coordinates by 5, we get (-40, 35). Therefore, the coordinates of vertex A after the dilation are (-40, 35).
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After the dilation, the ordered pair that depicts where vertex A is located is (-40, 35).
How can we increase a figure so that the origin serves as the dilation center?
We multiply the coordinates of each point by the scale factor to dilate a figure with the origin as the center of dilation. Depending on whether the scale factor is larger than or less than 1, this has the effect of either expanding or shrinking the figure.
The x- and y-coordinates of each point in the figure must be multiplied by 5 in order to dilate it by a scale factor of 5, with the origin serving as the centre of dilation.
Thus, we begin with the coordinates of vertex A before the dilation, which are, in order to obtain the coordinates of vertex A after the dilation (-8, 7).
The x-coordinate is then multiplied by 5 to get (-8)5 =-40, while the y-coordinate is multiplied by 5 to get (7)5 = 35.
Vertex A can be observed at (-8, 7). These coordinates are multiplied by 5 to get (-40, 35). As a consequence, vertex A's coordinates after dilation are (-40, 35).
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In reality, forecasts are typically not accurate. As such, it is typically most appropriate to use the std. deviation of demand as the primary measure of uncertainty. True/False
False. While it is true that forecasts can be subject to uncertainties and may not always be entirely accurate, it is not necessarily most appropriate to use the standard deviation of demand as the primary measure of uncertainty.
The standard deviation represents the dispersion of data points around the mean, and it is commonly used to measure variability within a dataset. However, it may not capture all the sources of uncertainty in demand forecasting.
Forecasts consider various factors such as historical data, market trends, customer behavior, and external influences to estimate future demand. Although they may not be entirely precise, they provide valuable insights and help organizations make informed decisions regarding production, inventory management, and resource allocation.
In addition to the standard deviation, other measures of uncertainty, such as confidence intervals or prediction intervals, can be used to quantify the range of possible outcomes and the associated level of uncertainty. These measures provide a more comprehensive understanding of the potential variations in demand, considering the inherent uncertainties in forecasting.
In conclusion, while forecasts may not always be completely accurate, they provide useful guidance for decision-making. The standard deviation of demand alone may not adequately capture the full range of uncertainties, and it is important to consider other measures of uncertainty when assessing the reliability and potential variations in demand forecasts.
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PLEASE HURRY I NEED IT FAST!!!
Answer:
-28!
i did the math
4(3+(−3)(−2))−((2)(4))2
Answer:
4
Step-by-step explanation:
First substitute all numbers into the equation:
= 4 ( 3 + ( -3 )( -2 ) ) - 2 ( 4 )^2
Then simply answer the question and evaluate:
= 4 ( 3 + ( 6 ) ) - 2 ( 16 )
= 4 ( 9 ) - 2 ( 16 )
= 36 - 2 ( 16 )
= 36 - 32
= 4
The answer is 4.
What is the molar mass of the element gold?
help
Answer:
Molar Mass Molar mass is defined as the mass of one mole of representative particles of a substance. By looking at a periodic table, we can conclude that the molar mass of lithium is 6.94g, the molar mass of zinc is 65.38g, and the molar mass of gold is 196.97g. Each of these quantities contains 6.02 × 1023 atoms of that particular element.
Step-by-step explanation:
Hope this helps!!!
-BB
please mark me brainly
Which equation is represented by the graph below? y=ln x y=ln x+1 y=e^x y=e^x+1
Answer:
y = e^x
Step-by-step explanation:
The fastest way to do this is to use a graphing calc or an online graphing platform and check to see which graph matches the one given.
The graph of the exponential function approaches zero as the value of x approaches negative infinity. Then the correct option is C.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The graph of the logarithm function approaches the infinity as the value of x approaches zero. So the given graph can not be a logarithm graph.
The graph of the exponential function approaches zero as the value of x approaches negative infinity. And at x = 0, the value of the function is 1.
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