6y=3y-18 What is thee slope intercept and what is the slope
Answers
Answer:
y = (1/2)x - 3
The slope is m = 1/2 and the y-intercept is (0, -3).
Step-by-step explanation:
Assuming that you meant 6y = 3x - 18, we solve this equation for y to obtain the slope-intercept formula y = mx + b for this particular case:
y = (3/6)x - (18/6), or
y = (1/2)x - 3
The slope is m = 1/2 and the y-intercept is (0, -3).
Related Questions
Simplify these expressions
2a + 5a
12x-3x
3p+2p-p
Answers
Step-by-step explanation:
1.solution
=2a+5a
=7a
2.solution
=12x-3x
=9x
3.solution
=3p+2p-p
=5p-p
=4p
Hope it helps you.
Hey there!
1. “2a + 5a”
COMBINE your LIKE TERMS
2 + 5 = 7
So this means that: 2a + 5a has to equal 7a
Answer: 7a ☑️
2. “12x – 3x”
COMBINE your LIKE TERMS
12 – 3 = 9
So that means 12x – 3x has to equal 9x
Answer: 9x ☑️
3. “3p + 2p – p”
Side note: “P” by itself is understood as 1
Equation: 3p + 2p – 1p
COMBINE your LIKE TERMS
3p + 2p – 1p
3 + 2 = 5
Which makes 3p + 2p have to equal to 5p
5 – 1 = 4
So this means that 5p – 1p has to equal to 4p
Answer: 4p ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
A store has clearance items that have been marked down by 50%. They are having a sale, advertising an additional 45% off clearance items. What percent of the original price do you end up paying?
Answers
bTo determine the percent of the original price you end up paying after the discounts, we can calculate the final price as a percentage of the original price.
Let's assume the original price of an item is $100.
The first discount reduces the price by 50%, so the price after the first discount is 50% of the original price, which is $100 * 0.5 = $50.
The second discount of 45% is applied to the price after the first discount. The price after the second discount is 45% of $50, which is $50 * 0.45 = $22.50.
Therefore, the final price you end up paying after both discounts is $22.50.\
To find the percent of the original price you end up paying, we divide the final price by the original price and multiply by 100:
Percent of original price = (final price / original price) * 100
In this case, the final price is $22.50 and the original price is $100:
Percent of original price = ($22.50 / $100) * 100
= 0.225 * 100
= 22.5%
Therefore, you end up paying 22.5% of the original price after the discounts.
It's important to note that the percent of the original price you end up paying will depend on the original price of the item. The calculations above were based on the assumption that the original price was $100. If the original price is different, the resulting percentage will vary accordingly.
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A flagpole casts a shadow that is 14 feet long. At the same time, a person standing nearby who is 5 feet 6 inches tall casts a shadow
that is 42 inches long. How tall is the flagpole?
Flagpole:
feet
Answers
Answer:
22 feet
Step-by-step explanation:
As the given measurements are not all in the same units, convert all measurements to inches using the conversion 1 ft = 12 inches:
14 ft = 14 × 12 = 168 inches5 ft 6 in = 5 × 12 + 6 = 66 inchesTherefore:
Flaghole height = h inFlagpole shadow = 168 inPerson height = 66 inPerson shadow = 42 inDraw a diagram using the given information (see attachment).
From the diagram, we can see that the flagpole and the person are parallel. Therefore, the two triangles are similar.
In similar triangles, corresponding sides are always in the same ratio.
Therefore, set up a ratio of height to shadow length and solve for h:
\(\implies \sf Flagpole\;height:Flagpole:shadow=Person\;height:Person\;shadow\)
\(\implies \sf h:168=66:42\)
\(\implies \sf \dfrac{h}{168}=\dfrac{66}{42}\)
\(\implies \sf h=\dfrac{66}{42} \cdot 168\)
\(\implies \sf h=\dfrac{11088}{42}\)
\(\implies \sf h=264\;inches\)
Convert the height into feet by dividing by 12:
\(\implies \sf h=\dfrac{264}{12}=22\;feet\)
Therefore, the height of the flagpole is 22 feet.
An inductor of l = 250 is subjected to a voltage v(t) = 8 e-4t V:
A. Knowing that, integrate both sides to determine the current i(t). You may assume that the initial current is zero.
B. Given that the absorbed power is, determine the total stored energy.
Answers
Total stored energy = (1/625) ∞
What understand by voltage?Voltage, also known as electric potential difference, is the measure of the electric potential energy per unit of charge in an electric circuit. It is the force that drives the electric charge in a circuit, similar to how pressure drives water through a pipe. Voltage is measured in volts (V) and is usually represented by the symbol "V". Voltage can be either positive or negative, depending on the direction of current flow and the orientation of the voltage source.
A. The voltage across an inductor is proportional to the time derivative of the current through it, according to Faraday's law of electromagnetic induction. This can be expressed mathematically as:
v(t) = L di/dt
where v(t) is the voltage across the inductor, L is the inductance in henries, and di/dt is the time derivative of the current through the inductor.
In this case, we have \(v(t) = 8e^{(-4t)\) V and L = 250 H. Integrating both sides of the above equation with respect to time gives:
∫v(t) dt = L ∫di/dt dt
∫\(8e^{(-4t)} dt = 250\) ∫di/dt dt
\(-2e^{(-4t)\)= 250i(t) + C
where C is the constant of integration. We can assume that the initial current is zero, so at t = 0, i(0) = 0. This means that C = -2. Substituting this into the equation above, we get:
\(-2e^{(-4t)\)= 250i(t) - 2
Solving for i(t), we get:
i(t) = (2/250) \(- (2/250)e^{(4t)\)
B. The power absorbed by an inductor is given by:
P = i² R
where P is the power, i is the current, and R is the resistance of the circuit. In an ideal inductor, the resistance is zero, so the power absorbed is also zero.
However, the energy stored in an inductor can be calculated using the following formula:
E = 1/2 L i²
where E is the energy stored, L is the inductance, and i is the current.
In this case, we have L = 250 H and i(t) = (2/250) \(- (2/250)e^{(4t)\)Substituting these values into the above equation, we get:
E = 1/2 (250) [(2/250) \(- (2/250)e^{(4t)]^2\)
Simplifying this expression, we get:
E = (1/625) \(- (2/625)e^{(4t)\)+ (2/625)e^(8t)
To determine the total stored energy, we need to integrate this expression over the interval 0 to infinity, since the voltage and current are given for all values of t. This gives:
Total stored energy = ∫E dt from 0 to infinity
Total stored energy = (1/625) ∫1 dt from 0 to infinity\(- (2/625) ∫e^{(4t)\)dt from 0 to infinity + (2/625) ∫e^(8t) dt from 0 to infinity
Total stored energy = (1/625) ∞ \(- (2/625) [1/4 e^{(4t)]\)from 0 to infinity + (2/625) [1/8 e^(8t)] from 0 to infinity
Since the integrals involving exponential functions go to infinity as t goes to infinity, these terms become zero. Therefore, we are left with:
Total stored energy = (1/625) ∞
which is an infinite value. This is because the energy stored in an inductor is not finite, but rather is dependent on the magnetic field generated by the inductor, which can extend infinitely far.
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Keller Construction is considering two new investments. Project E calls for the purchase of earthmoving equipment. Project H represents an investment in a hydraulic lift. Keller wishes to use a net present value profile in comparing the projects. The investment and cash flow patterns are as follows: Use Appendix B for an approximate answer but calculate your final answer using the formula and financial calculator methods.
Answers
Based on the net present value profile, Project H has a higher NPV than Project E.
To compare the net present value (NPV) of Project E and Project H, we need to calculate the present value of cash flows for each project and determine which one has a higher NPV. The cash flow patterns for the two projects are as follows:
Project E:
Initial investment: -$100,000
Cash flows for Year 1: $40,000
Cash flows for Year 2: $50,000
Cash flows for Year 3: $60,000
Project H:
Initial investment: -$120,000
Cash flows for Year 1: $60,000
Cash flows for Year 2: $50,000
Cash flows for Year 3: $40,000
To calculate the present value of cash flows, we need to discount them using an appropriate discount rate. The discount rate represents the required rate of return or the cost of capital for the company. Let's assume a discount rate of 10%.
Using the formula method, we can calculate the present value (PV) of each cash flow and sum them up to obtain the NPV for each project:
For Project E:
PV = $40,000/(1 + 0.10)^1 + $50,000/(1 + 0.10)^2 + $60,000/(1 + 0.10)^3
PV = $36,363.64 + $41,322.31 + $45,454.55
PV = $123,140.50
For Project H:
PV = $60,000/(1 + 0.10)^1 + $50,000/(1 + 0.10)^2 + $40,000/(1 + 0.10)^3
PV = $54,545.45 + $41,322.31 + $30,251.14
PV = $126,118.90
Using the financial calculator method, we can input the cash flows and the discount rate to calculate the NPV directly. By entering the cash flows for each project and the discount rate of 10%, we find that the NPV for Project E is approximately $123,140.50 and the NPV for Project H is approximately $126,118.90.
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The table below represents a frequency distribution for the age (in years) of employees at a particular company.
Age (in years) Frequency
23-29
25
30-36
41
37-43
37
Use the table to answer the following questions.
Your answers should be exact numerical values
The class width used for the frequency distribution is
The class midpoint for the class 23-29 is
The class midpoint for the class 30-36 is
The class midpoint for the class 37-43 is
Check
Answers
The class width used for the frequency distribution is 6.
The class midpoint for the class 23-29 is 26.
The class midpoint for the class 30-36 is 33.
The class midpoint for the class 37-43 is 40.
To find the class width of the frequency distribution, we need to determine the range of each age class. The range is the difference between the upper and lower boundaries of each class. Looking at the table, we can see that the class boundaries are as follows:
23-29
30-36
37-43
For the class 23-29, the lower boundary is 23 and the upper boundary is 29. To find the class width, we subtract the lower boundary from the upper boundary:
Class width = 29 - 23 = 6
So, the class width for the frequency distribution is 6.
To find the class midpoint for each class, we take the average of the lower and upper boundaries of each class.
For the class 23-29:
Class midpoint = (23 + 29) / 2 = 52 / 2 = 26
For the class 30-36:
Class midpoint = (30 + 36) / 2 = 66 / 2 = 33
For the class 37-43:
Class midpoint = (37 + 43) / 2 = 80 / 2 = 40
So, the class midpoint for the class 23-29 is 26, for the class 30-36 is 33, and for the class 37-43 is 40.
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Question: What is the fractional value of A?
Answers
Answer:&.&/
Step-by-step explanation:82
Which number(s) have a 5 that is 10 times the value of the 13,725 in ?
Answers
Answer:
I will give you three, but the answer is the number that has a 50
Step-by-step explanation:
52
654
7657
50 is the numbers that have a 5 in 10 times the value of the 13,725.
What is place value?Place value is the value of each digit in a number.
For example, the 5 in 350 represents 5 tens, or 50; however the 5 in 5006 represents 5 thousands, or 5000.
Now the given number is,
13,725
10 times of the number is givens as,
13,725*10
or, 137,250
here place value of 5 in 137,250 is 5 tens or 50.
Therefore, 50 is the numbers that have a 5 in 10 times the value of the 13,725.
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Find the weighted mean. Round your answer to one decimal place.
Deliveries Per Week Frequency
4 7
8 2
12 5
16 6
Weighted mean =
deliveries per week
Answers
Using the table you provided, the calculation would be as follows:
(4 x 7) + (8 x 2) + (12 x 5) + (16 x 6) = 128
Total frequency = 20
Weighted mean = 128 / 20 = 6.4
Rounding this answer to one decimal place, the weighted mean of deliveries per week is 6.4.
the question is 4 1/5 x 5/14
Answers
Answer:
3/2
Step-by-step explanation:
Simplify the following:
((4 + 1/5)×5)/14
((4 + 1/5)×5)/14 = ((4 + 1/5)×5)/14:
((4 + 1/5)×5)/14
Put 4 + 1/5 over the common denominator 5. 4 + 1/5 = (5×4)/5 + 1/5:
(((5×4)/5 + 1/5) 5)/14
5×4 = 20:
((20/5 + 1/5)×5)/14
20/5 + 1/5 = (20 + 1)/5:
(((20 + 1)/5)×5)/14
20 + 1 = 21:
(21/5×5)/14
21/5×5 = (21×5)/5:
((21×5)/5)/14
((21×5)/5)/14 = (21×5)/(5×14):
(21×5)/(5×14)
(21×5)/(5×14) = 5/5×21/14 = 21/14:
21/14
The gcd of 21 and 14 is 7, so 21/14 = (7×3)/(7×2) = 7/7×3/2 = 3/2:
Answer: 3/2
Alberto left the airport and traveled toward the capital. One hour later Danielle left traveling 10 km/h faster in an effort to catch up to him. After five hours Danielle finally caught up. What was Alberto's average speed?
Answers
Answer:
Step-by-step explanation:
Alberto traveled v km/h.
After 1 hour they are v km apart.
Danielle travels (v+10) km/h.
The distance between them decreases by 10 km/h.
They meet in 5 hours, after Danielle has traveled 5v+50 km and Alberto has traveled 6v km.
6v = 5v+50
v = 50 km/h
Alberto travels 50 km/h
How could you design an experiment to support the claim that people who watch television for at least 2 hours every night have lower energy in the evening than people who do not watch as much television Include any factors or steps that should be considered .
Answers
Step-by-step explanation:
Several ways in which television can disrupt or alter sleep patterns:
The blue light emitted by screens can interfere with your brain’s production of melatonin at night, making it harder for you to fall asleep. Exciting or disturbing content can switch your mind into high gear, making it harder to wind down, and harder to sleep deeply. The timing of television viewing may push back bedtime and contribute to sleep disturbances -- including sleep-related anxieties and difficulty falling asleep. Having a television in the bedroom can undermine your ability to sleep well. Extended viewing may lead to sleep loss, poor quality sleep, and daytime tiredness.People who don't watch Television won't have these problems.
whats 2 plus 2
ITS 4
Answers
Answer:
the answer to the question is 4
How many people can be served 3/4 cup servings if there are 7 1/2 cups left?
Answers
10.......................
the sum of two number is 50,and their difference is 30.find the numbers
Answers
Answer:
40 and 10
Step-by-step explanation:
if you add them you get 50 and if you subtract them you get 30
Answer:
40 and 10
Step-by-step explanation:
Let the bigger number = x
Let the smaller number = y
x+y=50
x-y=30
(add the equations)
(x+x)+(y-y)=(50+30)
2x=80
x=40
x+y=50
40+y=50
y=10
I will mark brainlist please help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee eeeeeeeeeeeeeeeeeee eeeeeeeeeeeeeeeeeee eeeeeeeeeeeeeeeeeee
Answers
Answer:
I believe the answer is 11.25 forgive me if I'm wrong.
Step-by-step explanation:
Answer:
Hypotenuse Formula = a^2 + b^2 = c^2
Step-by-step explanation:
6.75^2 + 9^2 = x^2
45.5 + 81 = 126.5
√126.5 = 11.25
I'm not from the US or UK. So, My method of answering this maybe different
Which is a function and what is not a function?
Answers
1. Not a function
2. Not a function
3. Function
4. Not a function
Why:
The best way to explain this is that every x-value has only one y-value or for the tables the first column can’t have two of the same number.
Hope this help! :)
Solve the equation square root 2x – 7 + x = 5 algebraically, and justify the solution set
Answers
Answer: \(x=4\)
Step-by-step explanation:
\(2x-7+x=5\)
Group like terms:
\(\left(2x+x\right)-7=5\)
Simplify the arithmetic:
\(3x-7=5\)
Add 7 to both sides:
\(3x-7+7=5+7\)
Simplify the arithmetic:
\(3x=5+7\)
Simplify the arithmetic:
\(3x=12\)
Divide both sides by 3:
\(\frac{3x}{3}=\frac{12}{3}\)
Simplify the fraction:
\(x=\frac{12}{3}\)
Find the greatest common factor of the numerator and denominator:
\(x=\frac{4\cdot 3}{1\cdot 3}\)
Factor out and cancel the greatest common factor and the answer will be:
\(x=4\)
The result of dividing a two-digit number by the number with its digits reversed is 7 over 4. If the sum of the digits is 12, what is the number?
Answers
Bryce, a top landscape architect, was given a special garden design job. The client owned a property as shown below, in which he wanted to have four separate small gardens, each of them exactly the same size and shape. In other words, “congruent.” Remember, all four gardens must fit exactly within the shape of the property as shown below; you can’t change the dimensions of the property or move things around - you have to keep your design within the original shape. Bryce came up with an ingenious design that fit the client’s request exactly. Can you figure out what his design was?
Answers
.........................................
three sides of triangle is x cm y cm z cm its perimeter and semi perimeter
Answers
Answer:
Step-by-step explanation:
Perimeter:
\(P=(x+y+z) \ cm\)
Semi-perimeter:
\(SP=\frac{1}{2} (x+y+z) \ cm\)
A building has 6 homes per floor and 3 floors. On the first floor, there are 4 penguins per home. On the second and third floor, there are 3 penguins per home.
Which equation can we use the total number of penguins living in the building?
Answers
The equation that represent the number of penguins is (6 × 4) + (3 × 6) + (3 × 6) = p.
How to find the equation to represent a situation?A building has 6 homes per floor and 3 floors. On the first floor, there are 4 penguins per home. On the second and third floor, there are 3 penguins per home.
Therefore, the equation that can be used to find the total number of penguins living in the building is as follows:
Hence,
(6 × 4) + (3 × 6) + (3 × 6) = p
where
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akram is 20 year old and his sister shazia is 15
1-what was the ratio of their ages before 4 years
2-what was the ratio of their ages after 5 years
3-what do the above two points explain about ratios
Answers
Answer:
1) akram : shazia
20-4 : 15-4
16 : 11
2) akram : shazia
20 + 5 : 15 + 5
25 : 20
5 : 4
3) ratios are not always constant
!!MATH!! !!100 POINTS!! !!WILL MARK BRAINLIEST!!
Answers
Answer:
PQO = 180
OQR = 180
PQR = 220
Step-by-step explanation:
brainliest
To the nearest tenth, what is the value of P(YB)?
0.2
0.3
0.4
0.5
Answers
Answer:
The 3rd one
Step-by-step explanation:
P(Y|B) = 0.4.
The probability is the ratio of the favorable event to the total number of events. Then the probability P(Y|B) will be 0.4, then the correct option is C.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.
The probability P(Y|B) will be given as
\(\rm P(Y|B) = \dfrac{34}{85}\\\\P(Y|B) = 0.4\)
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Given the zeros of the function f (x) = x4 + 3x3 – 28x², identify whether the zero is a bounce or
cross.
Answers
f(x) = x^4 + 3x^3-28x^2
Factorising, we get
f(x) = x^2(x+7)(x-4)
Therefore, there is a double root at x = 0 and singular roots at x = -7 and 4
double roots tend to bounce, kind of like the standard quadratic y = x^2
singular roots tend to cross, kind of like a straight line on a graph, y = mx + b
Therefore, it bounces at x = 0, and crosses at x = -7 and 4
In general, a root raised to an even power bounces, and a root raised to an odd power crosses.
Verify that the general solution satisfies the differential equation. Then find the particular solution that satisfies the initial condition.
3x2+6y2 = C
3x+6yy' = 0
y = 2 when x = 5
Answers
Answer:
Step-by-step explanation:
To verify that the general solution satisfies the differential equation, we need to differentiate the implicit equation 3x^2 + 6y^2 = C with respect to x and check if it matches the given differential equation 3x + 6yy' = 0.
Differentiating both sides of the implicit equation with respect to x using the chain rule, we get:
6x + 12yy' = 0
Dividing both sides by 2, we get:
3x + 6yy' = 0
This matches the given differential equation, so we can conclude that the implicit equation 3x^2 + 6y^2 = C is a general solution to the differential equation 3x + 6yy' = 0.
To find the particular solution that satisfies the initial condition y = 2 when x = 5, we can plug these values into the general solution and solve for the constant C.
Substituting x = 5 and y = 2 into the general solution, we get:
3(5)^2 + 6(2)^2 = C
Simplifying the left-hand side, we get:
75 + 24 = C
C = 99
Therefore, the particular solution that satisfies the initial condition y = 2 when x = 5 is:
3x^2 + 6y^2 = 99
or, equivalently:
x^2 + 2y^2 = 33
Triangle MAT is similar to Triangle RUG. Complete the statement: Line segment
MT corresponds to
A
U
À
M
T
R
G
Answers
Solve the system of equations below using any method you learned in this unit. Show all work (even if you are using your calculator).
Answers
Given the system of equations
\(\begin{gathered} x+4y-z=20-----1 \\ 3x+2y+z=8-----2 \\ 2x-3y+2z=-16-----3 \end{gathered}\)We can solve for x, y and z below.
Explanation
Step 1: Find the value of z using the substitution method
\(\begin{gathered} \begin{bmatrix}x+4y-z=20\\ 3x+2y+z=8\\ 2x-3y+2z=-16\end{bmatrix} \\ Isolate\text{ for x in equation 1} \\ x=20-4y+z \\ \mathrm{Substitute\:}x=20-4y+z\text{ in equation 2 and 3} \\ \begin{bmatrix}3\left(20-4y+z\right)+2y+z=8\\ 2\left(20-4y+z\right)-3y+2z=-16\end{bmatrix} \\ sinplify \\ \begin{bmatrix}-10y+4z+60=8 \\ -11y+4z+40=-16\end{bmatrix} \\ Isolate\text{ for y in}-10y+4z+60=8 \\ -10y=8-4z-60 \\ y=\frac{8-4z-60}{-10} \\ y=\frac{-4z-52}{-10} \\ y=\frac{2\left(z+13\right)}{5} \\ \mathrm{Substitute\:}y=\frac{2\left(z+13\right)}{5}\text{ in }-11y+4z+40=-16 \\ \begin{bmatrix}-11\cdot \frac{2\left(z+13\right)}{5}+4z+40=-16\end{bmatrix} \\ simplify \\ \begin{bmatrix}\frac{-2z-286}{5}+40=-16\end{bmatrix} \\ multiply\text{ through by 5} \\ -2z-286+200=-80 \\ isolate\text{ for z} \\ -2z=-80-200+286 \\ -2z=6 \\ z=\frac{6}{-2} \\ z=-3 \end{gathered}\)Step 2: Find y
\(\begin{gathered} \mathrm{Substitute\:}z=-3\text{ in}\mathrm{\:}y=\frac{2\left(z+13\right)}{5} \\ y=\frac{2(-3+13)}{5} \\ y=\frac{2(10)}{5} \\ y=4 \end{gathered}\)Step 3: Find z
\(\begin{gathered} \mathrm{Substitute\:}z=-3,\:y=4\text{ in }x=20-4y+z \\ x=20-4\cdot \:4-3 \\ x=1 \end{gathered}\)Answer: The solutions to the system of equations are
\(x=1,\:z=-3,\:y=4\)Which is the correct equation for a line that passes through the points (-2,7) and (2,-5)?
y=3x+5
y=1/3x+3
y= -3x-12
y= -3x+1
Answers
Answer:
y= -3x+1
Step-by-step explanation:
x1= -2 x2=2 y1=7 y2=-5
using the formula
(y-y1)/(x-x1)=(y2-y1)/(x2-x1)
(y-7)/(x-(-2))=(-5-7)/(2-(-2))
(y-7)/(x+2)=(-5-7)/(2+2)
(y-7)/(x+2)=(-12)/4
(y-7)/(x+2)=-3
cross multiply
y-7=-3(x+2)
y-7=-3x-6
y=-3x-6+7
y=-3x+1