Answers
Answer:
the y intercept is 6 because that is where it crosses the y axis and the slope/gradient is 2/1 making it 2. in an equation this would be y=2x+3
Step-by-step explanation: 0-0 chungus
a) The y-intercept of the line is b = -3
b) The gradient or the slope of the line is m = -2
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the y-intercept of the line is when x = 0
Now , the value of A is
Let the first point be P ( 0 , 6 )
Let the second point be Q ( -3 , 0 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = 6 / -3
m = -2
Now , when x = 0 , y = -3
Hence , the equation of line is solved
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Related Questions
11. What is the unknown number in
Sequence 2 in the chart?
Sequence Number
Sequence 1
Sequence 2
A 126
B 127
c 147
D 154
2 3 5
7
14 21 35 49
?
1
7
21 42 63 105
Answers
The missing number in Sequence 2 is 780.
To find the missing number in Sequence 2, let's analyze the pattern:
In Sequence 1, the numbers increase by 1 each time: 126, 127, 128, 129, ...
In Sequence 2, the numbers seem to follow a pattern where each number is obtained by multiplying the corresponding number in Sequence 1 by a certain factor:
2 x 126 = 252
3 x 127 = 381
4 x 128 = 512
5 x 129 = 645
...
Looking at this pattern, we can see that the missing number in Sequence 2 should be:
6 x 130 = 780
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Richards Corporation uses the FIFO method of process costing. The following
information is available for October in its Fabricating Department:
Units:
Beginning Inventory: 80,000 units, 60% complete as to materials and 20%
complete as to conversion.
Units started and completed: 250,000.
Units completed and transferred out: 330,000.
Ending Inventory: 30,000 units, 40% complete as to materials and 10%
complete as to conversion.
Costs:
Costs in beginning Work in Process - Direct Materials: $37,200.
Costs in beginning Work in Process - Conversion: $79,700.
Costs incurred in October - Direct Materials: $646,800.
Costs incurred in October - Conversion: $919,300.
Calculate the equivalent units of materials.
Answers
If Richards Corporation uses the FIFO method of process costing. The equivalent units of materials is 294,000.
Equivalent unit of material (FIFO)
Using this formula
Equivalent unit of material (FIFO) =[(Beginning inventory×Percentage complete)+Units started and complete+ (Ending inventory× Percentage complete as to materials)]
Let plug in the formula
Equivalent unit of material (FIFO) = [80,000×40%+250,000+30,000×40%]
Equivalent unit of material (FIFO) = 32,000+250,000+12,000
Equivalent unit of material (FIFO) = 294,000
Therefore the equivalent units of materials is 294,000.
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Suppose, as a rough estimate, we say that there are 20 distinct geons used for object recognition; and each geon can come in 5 classifiable qualitative sizes (tiny, small, moderate, large, huge); and a pair of geons can be placed in 10 distinct qualitative relations (geon A on top of geon B; geon A to upper left of geon B; geon A to the left of geon B; and so forth).How many distinct two-geon objects do we have in the space described above?
Answers
Answer:
49500
Step-by-step explanation:
According to the Question,
Given That, Suppose, as a rough estimate, we say that there are 20 distinct geons used for object recognition, and each geon can come in 5 classifiable qualitative sizes (tiny, small, moderate, large, huge). and a pair of geons can be placed in 10 distinct qualitative relations.We have, District geons = 20 , District Size = 5
So, The Number Of Ways A geon can be selected 20 x 5 = 100Now, We choose 2 geons From 100 Geons and arrange them in 10 district relations.
So, The number of district two-geon object= \(\left[\begin{array}{ccc}100\\2\end{array}\right] * 10\)
= (100 × 99)/2 × 10
= 49.5×100×10 ⇒ 49500
if the slope of ac 6 what is the slope of bc
Answers
Slope of BC=-1/6
Explanation:
What we know:
- the slope of AC is 6
- BC is perpendicular to AC
We know what BC is perpendicular to AC because they meet at a right angle.
To solve this question, we must understand that the slope of a second line perpendicular to the first is equal to the NEGATIVE RECIPROCAL of the slope of the first line.
For example, the slope of line A=8. The slope of the line perpendicular to line A would be -1/8.
Another example: the slope of line B=-6/7. The slope of a line perpendicular to line B would be 7/6. Remember, two negatives make a positive.
And that brings us back to line BC. Because the slope of line AC is 6, the slope of line BC would be -1/6.
I hope this helps! Please comment if you have any questions.
please help i need it!!!
Answers
Answer:
9
Step-by-step explanation:
Answer:
y = - x + 9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (0, 9) and (x₂, y₂ ) = (9, 0) ← 2 points on the line
m = \(\frac{0-9}{9-0}\) = \(\frac{-9}{9}\) = - 1
The line crosses the y- axis at (0, 9 ) ⇒ c = 9
y = - x + 9 ← equation of line
Pre calculus
Help me
Answers
Answer:
\(\displaystyle \frac{75}{2}\) or \(37.5\)
Step-by-step explanation:
We can answer this problem geometrically:
\(\displaystyle \int^6_{-4}f(x)\,dx=\int^1_{-4}f(x)\,dx+\int^3_1f(x)\,dx+\int^6_3f(x)\,dx\\\\\int^6_{-4}f(x)\,dx=(5*5)+\frac{1}{2}(2*5)+\frac{1}{2}(3*5)\\\\\int^6_{-4}f(x)\,dx=25+5+7.5\\\\\int^6_{-4}f(x)\,dx=37.5=\frac{75}{2}\)
Notice that we found the area of the rectangular region between -4 and 1, and then the two triangular areas from 1 to 3 and 3 to 6. We then found the sum of these areas to get the total area under the curve of f(x) from -4 to 6.
Answer:
\(\dfrac{75}{2}\)
Step-by-step explanation:
The value of a definite integral represents the area between the x-axis and the graph of the function you’re integrating between two limits.
\(\boxed{\begin{minipage}{8.5 cm}\underline{De\:\!finite integration}\\\\$\displaystyle \int^b_a f(x)\:\:\text{d}x$\\\\\\where $a$ is the lower limit and $b$ is the upper limit.\\\end{minipage}}\)
The given definite integral is:
\(\displaystyle \int^6_{-4} f(x)\; \;\text{d}x\)
This means we need to find the area between the x-axis and the function between the limits x = -4 and x = 6.
Notice that the function touches the x-axis at x = 3.
Therefore, we can separate the integral into two areas and add them together:
\(\displaystyle \int^6_{-4} f(x)\; \;\text{d}x=\int^3_{-4} f(x)\; \;\text{d}x+\int^6_{3} f(x)\; \;\text{d}x\)
The area between the x-axis and the function between the limits x = -4 and x = 3 is a trapezoid with bases of 5 and 7 units, and a height of 5 units.
The area between the x-axis and the function between the limits x = 3 and x = 6 is a triangle with base of 3 units and height of 5 units.
Using the formulas for the area of a trapezoid and the area of a triangle, the definite integral can be calculated as follows:
\(\begin{aligned}\displaystyle \int^6_{-4} f(x)\; \;\text{d}x & =\int^3_{-4} f(x)\; \;\text{d}x+\int^6_{3} f(x)\; \;\text{d}x\\\\& =\dfrac{1}{2}(5+7)(5)+\dfrac{1}{2}(3)(5)\\\\& =30+\dfrac{15}{2}\\\\& =\dfrac{75}{2}\end{aligned}\)
Sam has a deck that is shaped like a triangle with a base of 18 feet and a height of 7 feet. He plans to build a 2:5 scaled version of the deck next to his horse's water trough.
Part A: What are the dimensions of the new deck, in feet? Show every step of your work. (4 points)
Part B: What is the area of the original deck and the new deck, in square feet? Show every step of your work. (4 points)
Part C: Compare the ratio of the areas to the scale factor. Show every step of your work. (4 points)
Answers
The 2 : 5 scaled version of the deck Sam plans to build and the dimensions of the original deck indicates;
Part A; Base length of the new deck = 7.2 feet
Height of the new deck = 2.8 feet
Part B; The area of the original deck is 63 square feet
The area of the new deck is 10.08 square feet
Part C; The ratio of the areas is the square of the scale factor
What is a scale factor?A scale factor is a number or factor that is used to enlarge or reduce the dimensions a shape or size of a figure.
The base length of the triangular deck = 18 feet
The height of the triangular deck = 7 feet
The scale factor for the scaled version Sam intends to build = 2 : 5
Part A; The dimensions of the new deck are;
Base length of the new deck using the the 2 : 5 ratio is; (2/5) × 18 = 7.2 feet
The height of the new deck = (2/5) × 7 = 2.8 feet
Part B; The area of the original deck = (1/2) × 18 × 7 = 63 square feet
Area of the new dec = (1/2) × 7.2 × 2.8 = 10.08 square feet
Part C; The ratio of the areas is; 10.08/63
Ratio of the area = 10.08/63 = 4/25 = 4 : 25
The scale factor is; 2 : 5
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A lot of points. PLEASE HELP! I will mark brainliest. Whoever gets it right first.
Answers
- the last one is your answer, you can use the small lines on the side of triangle to help you know which ones match with each other
(NEED HELP ASPAD- WORTH 70 POINTS!)
Mr. [name] wants to order sandwiches for his class. Each sandwich, x, costs 6 dollars and there is a delivery fee of 12 dollars.
1.) Write an equation representing the cost, y, of this order of 7 sandwiches.
2.) Show your work to represent the cost of an order of 7 sandwiches.
3.)Show your work to solve how any sandwhitches you could buy with 78 dollars.
Answers
x=6
d=12
7x+12 or 7x+d
7(6) + 12 or (7x6) + 12 = 54
78-12 = 66
66/6 = 11
11x + 12 =78.
Criteria are the goals that a design must achieve. They are determined by what you want the cup to do. Criteria for the volume of the cup compartments have been decided for you. The volume is expressed in four different units: Volume cubic centimeters milliliters fluid ounces cups cold pack 150 150 5 0.6 drink compartment 600 600 20 2.5 total 750 750 25 3.1 Although the volume is set, the shape of the cup is up to you. There are no right or wrong answers. Do you want your cup to be tall and skinny or short and wide
Answers
Answer:
Criteria for my Cup:
I want my cup to be short and wide.
Step-by-step explanation:
a) By the way, a cup can be measured in volume. There are no tall and skinny cups. They are not attributes of a cup. However, a cup can be short (height). It can also be wide, usually measured in diameter and radius.
b) Data:
Volume cubic centimeters milliliters fluid ounces cups
cold pack 150 150 5 0.6
drink compartment 600 600 20 2.5
total 750 750 25 3.1
50+100n please awnser thisssssssssssssssssssssssssssssssssssssssssssssssss
Answers
Answer:
5 ( 1 + 20 n )
Step-by-step explanation:
Answer:
Your answer will be 150
Step-by-step explanation:
your answer going to be 150
solve equation 3x+3y+6z-15w=9
Answers
Answer:
The equation is already solved.
Answer:
x=0.5 y=0.5 z=3 w= 0.8
Step-by-step explanation:
Took time to guess random numbers until got the answer correct, this needs patience.
The table shows the total distance of four trails. You want to complete a trail in 1 1/2 hours with an absolute deviation of at most 15 minutes. you hike at a rate of 3 miles per hour. CREATE AN ABSOLUTE VALUE INEQUALITY
Answers
Answer:
The answer would be: A = 5 1/4
please please help last text then finals l give brainliest
Answers
1. The x - intercepts of the parabola are
x = 2.5 s and x = 7.5 s2. The meaning of the x-intercepts are the plane takes of at x = 2.5 s and lands at x = 7.5 s
3. The vertex of the parabola is at (5, 80).
What is a parabola?A parabola is a curved shape
1. Given the parabola above, to find the x - intercepts, we proceed as follows.
The x-intercepts are the points at which the graph cuts the x-axis.
They are
x = 2.5 s and x = 7.5 s2. The meaning of the x-intercepts in this problem are the points where the plane takes off and lands on the ground.
The plane takes of at x = 2.5 s and lands at x = 7.5 s
3. The vertex is the maximum point on the graph.
So, we see that the vertex is at x = 5 s and y = 80 ft
So, the vertex is at (5, 80).
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Find the general solution of the given differential equation x2 y’ -2xy = x4 + 3
Answers
\( \times 2 \: y \: - 2xy = \times 4 + 3 = \times - \frac{3}{4} \: y \: e \: r\)
Find the surface area of the following figure. Roundyour answer to the nearest hundredths.
Answers
Answer
350.70 cm²
Step-by-step explanation
The Surface Area (SA) of a hemisphere is calculated as follows:
\(SA=3\pi r^2\)where r is the radius of the hemisphere.
Substituting r = 6.1 cm, we get:
\(\begin{gathered} SA=3\pi(6.1)^2 \\ SA=3\operatorname{\times}\pi\times37.21 \\ SA\approx350.70\text{ cm}^2 \end{gathered}\)
in each of the following cases, you are given a set of numbers. in each case, determine whether this set of numbers can be a domain of convergence for a power series. if it cannot, explain why it cannot. if it can, give an example of a power series that has this set as its domain of convergence.
a. [-1,3)
b. (-1,3)
c. (-1,3]
d. [-1,3]
Answers
The possible domain of the convergence are b. (-1,3) and c. (-1,3]
Domain of convergence.
In statistics, domain of the convergence also known as interval of convergence means an interval associated with a given power series such that the series converges for all values of the variable inside the interval and diverges for all values outside it.
Given,
Here we need to identify in which of the options are domain of convergence.
As per the definition of domain of convergence, the interval of the convergence is (-∞ , ∞).
So, the possible convergence in the given options are (b) and (c).
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1/2 gallons of chlorine to 8/10
Can you tell me how many gallons of disinfectant liquid Aling Rosa havr made? show using the blocks below to represent the gallon of chlorine and gallon of water?
Answers
1.3 or 1 3
_
10
sana makatulong
11.1 ÷ 3 please tell me
Answers
Answer:
3.7
Just divide 11.1 by 3 in the calculator
Answer:
3.7
Step-by-step explanation:
make me a brainliest
The discount on a new computer was $150. This was a discount of 23 %. Step 1 of 3: What was the original selling price of the computer? Follow the problem-solving process and round your answer to the nearest cent, if necessary
Answers
So, the answer is 652.17
I think
Hope this helps :D
Answer:
So there is an unknown number to the original price so we replace this as x,
23% of the original price will equal your new discount, now lets write it!:
23/100 x X = 150
x100 x100
23x = 15,000
Divide by 23 on both sides:
x = 652.173 around 652.17 dollars was the original price.
Twice the measure of an angle is 18° more than the complement of the angle. Find the measure of the angle and the measure of its complement.
Answers
Answer:
Below
Step-by-step explanation:
angle = x
complement = 90 - x
complement also is given as 2x-18
2x-18 = 90 - x
3x = 108
x = 36° then complement = 90-x = 54°
A family rents their spare bedroom to tenants. If the tenant stays less than 7 days the rental price is $65 per day. Once a tenant stays
seven or more days, the price is $375 plus $55 per day past seven. What are the constraints that apply to the above situation? Select all that apply.
Answers
Using a piece-wise function, the constraints are:
\(65x, x < 7\)
\(375 + 55x, x \geq 7\)
-------------------------
A piece-wise function is a function that has multiple definitions, depending on the value of the input.
In this problem:
The input is the number of days x.The output is the cost y.Less than 7 days the rental price is $65 per day.
Thus, one constraint is:
\(65x, x < 7\)
Once a tenant stays seven or more days, the price is $375 plus $55 per day past seven.
Thus, the other constraint is:
\(375 + 55x, x \geq 7\)
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Answer: a and d
Step-by-step explanation:
its easy. U can just solve the problem
Will give brailyest!!!!
what makes farming possible in Central Asia's dry climate?
a. annual floods.
b. irritation systems
c. seasonal droughts
d. tropical storms
Answers
Answer:
I think its a
Step-by-step explanation:
Answer: B
Step-by-step explanation: EDGE 2021
......................
Answers
We are given a table of frequencies, so in order to find probability associated with it, we need to start by adding all the numbers in the frequency, since that would give us the totals:
We add :
7.7 + 8.2 + 24.1 + 25.6 + 51.5 + 29. 4 = 146.5
Now, notice that they ask you to find the probability associated with a voter chosen at random to be in a group DIFFERENT from the range 21 to 24, That means the complementary of this range, which is therefore
146.5 - 8.2 = 138.3 (since 8.2 is the frequency for the 21 - 24 years/age range.
Then the probability is the quotient:
138.3 / 146.5 = 0.9440273 which in percent terms is 94.4 %
If you teacher wants the probaility in decimal (math) form, use 0.944.
If he/she wants it in percent form, use 94.403% (using
4) Ellen deposited $2,500 into a savings account
that earns 5% interest per year. Her friend's
bank offers a 6 1/2% annual interest rate. How
much more money would Ellen's money have
earned in one year if she had deposited her
money at her friend's bank?
A) $12.50
B) $32.50
C) $16.25
D) $37.50
Answers
Answer:
c
Step-by-step explanation:
A large university accepts 70% of the students who apply. Of the students university, 25% actually enroll. If 20,000 students apply, how many enroll?
Answers
Answer:
350 enrolled
Step-by-step explanation:
.7 x 20000 = 1400
.25 x 1400 = 350
Answer:
3500
Step-by-step explanation:
20000 * 0.70 = 14000
14000 * 0.25 = 3500
A box of cereal states that there are 96 calories in a 3/4 cup serving. What is the unit rate. Of calories per cup? How many calorie are there in 3 cups.
Answers
Answer: 384 calories
Step-by-step explanation:
Answer:
7335
Step-by-step explanation:
What is the value of x? Enter your answer in the box. X = cm 5 cm 48 cm 40 cm
Answers
The value of x in the similar triangle is 6 units.
How to find side of similar triangle?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
Therefore, let's use the similarity ratio to find the value of x in the similar triangle as follows:
Hence,
5 / 40 = x / 48
48 × 5 = 40x
240 = 40x
divide both sides by 40
x = 240 / 40
x = 6
Therefore,
x = 6
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Need Help Asap Please
Answers
Answer:
corporation C owns the most land
Step-by-step explanation:
hope it helps
Is there a difference between shapes when plotting Uniform acceleration towards (+)directtion,Uniform acceleration towards (-)direction, Uniform deceleration towards (+) direction and Uniform deceleration towards (-) direction in displacement time graph
Answers
Yes, there is a difference in the shapes of the displacement-time graphs for uniform acceleration towards the positive direction, uniform acceleration towards the negative direction, uniform deceleration towards the positive direction, and uniform deceleration towards the negative direction.
Uniform acceleration towards the positive direction:
In this case, the object's velocity increases in the positive direction over time. The displacement-time graph will have a concave-upward shape, forming a curve that starts with a small slope and gradually becomes steeper as time progresses.
Uniform acceleration towards the negative direction:
Here, the object's velocity increases in the negative direction, meaning it accelerates in the opposite direction to its positive direction.
The displacement-time graph will have a concave-downward shape, forming a curve that starts with a steep slope and gradually becomes less steep as time progresses.
Uniform deceleration towards the positive direction:
In this scenario, the object's velocity decreases in the positive direction, but it still moves towards the positive direction.
The displacement-time graph will show a curve with a decreasing slope, forming a concave-downward shape, indicating that the object is slowing down.
Uniform deceleration towards the negative direction:
Here, the object's velocity decreases in the negative direction, opposing its initial direction.
The displacement-time graph will have a curve with a decreasing slope, forming a concave-upward shape, indicating that the object is slowing down but still moving in the negative direction.
In summary, the shapes of the displacement-time graphs differ based on the direction and type of acceleration (positive or negative) and whether the object is undergoing uniform acceleration or uniform deceleration. These differences can be observed through the concavity and slope of the graphs.
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