The slope-intercept form of the equation of a line that passes through point (–3, 8) is y=-2/3 x+6.What is the point-slope form of the equation for this line?
Answers
Answer:
Step-by-step explanation:
y - 8 = -2/3(x + 3)
y - 8 = -2/3x - 2
y = -2/3x + 6
Related Questions
I need help solving this!
Answers
Answer:
miles hybrid car went = 9.80 gal × 54.1 miles/gal
= 530.18 miles
132km × 0.621 = 81.972 miles
530.18 miles = 9.80 gal
1 mile = 9.80/530.18
= 0.018 gal
81.972 miles = 0.018 × 81.972
= 1.515 gal
1.515 gal × 3.785 = 5.734 litres
What is the capacity of a cylinder if it’s 2.60m high and has a diameter of 160.0cm
Answers
Answer:
Step-by-step explanation:
pi = 3.14
h = 2.60 m
d = 160.0 cm
Radius
r = d/2
r = 160.0 / 2
r = 80.0 cm
height
There are 100 cm in 1 meter. The units have to agree.
2.6 m * 100 cm / m
2.6 * 100 = 260 cm
Formula
V = pi * r^2 * h
V = 3.14 * 80^2 * 260
V = 5224960 cm^3
If you want a more manageable number, you could convert this into m^3
That's done by
V = 5224960 / 1000000 = 5.22 m^3
Find the missing angle
A) 61.1
49.40
B) 56.10
D) 59.7
Answers
Answer:
D
Step-by-step explanation:
You have the opposite side given and the adjacent side. That means you will use the tangent.
Tan(theta) = opposite / adjacent
opposite = 6
adjacent = 3.5
Tan(theta) = 6 / 3.5
Tan(theta) = 1.714
Tan-1(1.714) = 59.74
when you get an answer over 1 from the division, you know that the angle is over 45 degrees.
Ms.smith has 132 stickers to give to her students. she has 25 students. if she gives the same number of stickers to each of her students how many stickers will she have left over?
Answers
Answer:
Step-by-step explanation:
If Ms. Smith hands out 130 of her stickers between all 5 of her students each will have 26. Which means she will have 2 remaining
According to the empirical rule, the bell or mound shaped distribution will have approximately 68% of the data within what number of standard deviations of the mean
Answers
The correct option is option a) One standard deviation.
According to the empirical rule, the bell or mound shaped distribution will have approximately 68% of the data within one standard deviations of the mean.
According to the empirical rule, the bell or mound-shaped distribution will have approximately 68% of the data within one standard deviation of the mean. This means that if the data is normally distributed, then about 68% of the data points will fall within one standard deviation above or below the mean.
Similarly, the empirical rule states that approximately 95% of the data will fall within two standard deviations of the mean, and about 99.7% of the data will fall within three standard deviations of the mean.
This means that if the data is normally distributed, then 95% of the data points will fall within two standard deviations above or below the mean, and 99.7% of the data points will fall within three standard deviations above or below the mean.
It is important to note that the empirical rule is based on the assumption that the data is normally distributed. If the data does not follow a normal distribution, then the empirical rule may not apply.
Therefore, the answer to the question is (a) One standard deviation, (b) Two standard deviations, and (c) Three standard deviations. Option (d) Four standard deviations and (e) Four standard deviations are not correct, and option (f) None of the above is partially correct as it excludes options (a), (b), and (c), but option (g) All of the above is not correct as options (d) and (e) are incorrect.
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1. Which of the
following
most accurately describes the
translation of the graph from
y = x² to y = (x - 2)² +1?
Answers
The translation of the graph from y = x² to y = (x - 2)² +1 is describe by - B. shift of 2 units left and then shift of 1 unit up.
Explain about the translations:In geometry, a translation is a transfer that occurs either horizontally to a left or right as well as vertically up or down. It may also consist of a mix of the two.
In mathematics, a translation moves an object throughout the coordinate plane while preserving its dimensions and shape. After a translation, its area and orientation remain unchanged.A vertical shift, horizontal shift, or indeed a combination of the two can be referred to as a translation in mathematics.Given data:
Parent function- y = x²
New function - y = (x - 2)² +1
First there is a shift of 2 units to the left as 2 is subtracted from x value.Now, there is shift of 1 unit upward, as 1 is added to the function.Thus, the translation of the graph from y = x² to y = (x - 2)² +1 is describe by - B. shift of 2 units left and then shift of 1 unit up.
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Complete question:
1. Which of the following most accurately describes the translation of the graph from y = x² to y = (x - 2)² +1?
A. shift of 2 units right and then shift of 1 unit up.
B. shift of 2 units left and then shift of 1 unit up.
K12 Online school
Divide.
5.6 ÷ 1,000
Answers
Answer:
0.0056
Step-by-step explanation:
hope this helps :)
Answer:
5.6÷1000=0.0056
1000÷5.6=178.57
In the decimal equivalent to 7/22, which digits in the decimal repeat?
Answers
Answer:
18
Step-by-step explanation:
\( \frac{7}{22} \)
in the decimal is 0,3181818182
so, 18 repeats in the decimal
So it is 18
grandma forgot how many raisins she put in a batch; you sample one loaf and count 40 raisins. how many do you estimate are in a batch? what is the the uncertainty in your estimate?
Answers
Using the sample of 40 raisins, you can estimate that there are 40 raisins in a batch. However, due to the uncertainty of the sample size, there is an element of uncertainty as to how many raisins there truly are in a batch.
Thus, the uncertainty of your estimate can range from slightly below 40 raisins to slightly above 40 raisins.
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Use the data in the table to explain how you could determine the volume of the block.
Answers
Answer:
Hmm since it says explain how, you can simply say , Determining the volume of the block would result in me using the method , " length x width x height. " or to add on to it you can also say, By using this method I would multiply the grams and mL together to get the volume. (Im not sure if this helps or not let me know!!)
Step-by-step explanation:
Basically volume = l x w x h , so I just put it in a sentence.
The volume of the block will be 27.2 x 10⁻⁶ cubic meters.
What is an Archimedes principle?According to Archimedes' principle, the weight of the fluid that the body displaces is equal to the upward buoyant force that is applied to a body submerged in a fluid, whether fully or partially. Archimedes' principle is a fundamental physical law in fluid mechanics.
Given that the of the block is 85.2 grams volume of water before the block is placed in the tank is 62.3ml and the volume after the block is placed is 89.5 ml.
The volume of the block will be equal to the volume of the liquid displaced by the body.
The volume of block = 89. 5 - 62. 3
The volume of block = 27.2 ml = 27.2 x 10⁻⁶ cubic meters
Therefore, the volume of the block will be 27.2 x 10⁻⁶ cubic meters.
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4x+5y=9
4x−2y=2
x= y=
Answers
Answer:
For example, the solution to the equations 2x + 3y = 15 and x - y = -10 is x = -3 ... Equation 2: 4x + 2y = 20
Answer:
x=0, y=0 this is so easy
6- A two-dimensional strain field is given by: Ex =c(-4.5x2+10.5y?) &y=c(1.5x27.5y?) Yxy =1.5bxy where b and c are nonzero constants. a) What should the relationship between b and c be if this field is to satisfy the strain compatibility conditions? b) Determine the displacements u and v corresponding to this field of strain at point (3,7) if they are zero at point(0,0). Use as a value of 2.5 for c.
Answers
a) The relationship between b and c is that c cannot be zero.
b) b can be any nonzero constant and c is equal to 2.5 in this case.
In two dimensions, the compatibility equations for strain are,0
∂εx/∂y + ∂γxy/∂x = 0
∂εy/∂x + ∂γxy/∂y = 0
where εx and εy are the normal strains in the x and y directions, respectively, and γxy is the shear strain.
Using the given strain field, we can calculate the strains,
εx = -4.5cx² + 10.5cy
εy = 1.5cx² - 7.5cy²
γxy = 1.5bxy
Taking partial derivatives and plugging them into the compatibility equations, we get,
⇒ -9cx + 0 = 0
⇒ 0 + (-15cy) = 0
These equations must be satisfied for the strain field to be compatible. From the first equation,
We get cx = 0, which means c cannot be zero.
From the second equation, we get cy = 0,
Which means b can be any nonzero constant.
For part b:
We are asked to find the displacements u and v corresponding to the given strain field at points (3, 7), assuming they are zero at point (0, 0) and using c = 2.5.
To find the displacement components,
We need to integrate the strains with respect to x and y. We get,
u = ∫∫εx dx dy = ∫(10.5cy) dy = 5.25cy²
v = ∫∫εy dx dy = ∫(1.5cx² ) dx - ∫(7.5cy²) dy = 0.5cx³ - 2.5cy³
Plugging in the values of c and b, we get,
u = 5.25(2.5)(7)² = 767.62
v = 0.5(2.5)(3)³ - 2.5(7)³ = -8583.75
Therefore,
The displacements at points (3, 7) are u = 767.62 and v = -8583.75.
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Quizlet one drink of an alcoholic beverage contains approximately how many kcal? a. 150 to 200 b. 50 to 100 c. 200 to 300 d. 100 to 150
Answers
One drink of an alcoholic beverage contains approximately 100 to 150Kcal. That is option D
What is an alcoholic beverage?An alcoholic beverage is a type of beverage that contains ethanol which is also a type of alcohol.
The three main types of alcoholic beverage are beer, wine and spirits.
Alcoholic drinks contain a lot of kilojoules and have no nutritional benefits
One drink of an alcoholic beverage contains approximately 100 to 150Kcal.
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Please help me! thank you
Suppose an object is thrown upward with initial velocity of 48 feet per second from a high of 120 feet. The height of the object t seconds after it is thrown is given by h(t)=-16t^2+48t+120. Find the average velocity from t=2 to t=4.
Type your answer as a number with no units.
Answers
The average velocity from t = 2s to t = 4s would be - 48 ft/s.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.
Given is that an object is thrown upward with initial velocity of 48 feet per second from a high of 120 feet. The height of the object t seconds after it is thrown is given by h(t) = - 16t² + 48t + 120.
Average velocity
Average rate of change of velocity with time is called average velocity. Mathematically -
v{avg.} = Δx/Δt .... Eq { 1 }
Δx = x(4) - x(2)
Δx = - 16(4)² + 48(4) + 120 - {- 16(2)² + 48(2) + 120}
Δx = - 96
Δt = 4 - 2 = 2
So -
v{avg.} = Δx/Δt = -96/2 = - 48 ft/s
Therefore, the average velocity from t = 2s to t = 4s would be - 48 ft/s.
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Which scenario could be modeled by a quadratic function?
The population of a city increases by 2% each year.
A rocket is launched and reaches a maximum height of 200 ft before falling to the ground.
Diego deposits $75 into his savings account at the beginning of the year, then adds $20 each month.
An Uber driver travels through the city at different rates of speed throughout the day.
Answers
A quadratic function allows us to calculate the rocket's height at any given time, determine the time it takes to reach the maximum height, and predict its eventual descent.
A quadratic function could be used to simulate a situation in which a rocket is launched and reaches a maximum height of 200 feet before crashing to the ground. For this situation, the level of the rocket can be depicted by a quadratic condition since the movement follows an illustrative direction because of the powers following up on it.
We can use a quadratic function to estimate the rocket's height at any given moment, how long it will take to reach its maximum height, and when it will eventually descend. The inherent quadratic relationship that can be represented by a parabolic equation is not present in the other mentioned scenarios, such as population growth, deposits into savings accounts, and the varying speeds of an Uber driver.
example of quadratic function
The quadratic ability condition is f(x) = ax² + bx + c, where a ≠ 0. We should check out at a couple of quadratic capability models: f(x) = 2x² + 4x - 5; Here, an is 2, b is 4, and c is - 5. f(x) = 3x² - 9; A is three, B is one, and C is nine.
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Figure A is translated 3 units right and 2 units up. The translated figure is labeled figure B. Figure B is reflected over the x-
axis. The reflected figure is labeled figure C. Which best explains why figure A is congruent to figure C?
Answers
Answer:
A. A = B and B = C
Answer:
A) A=B and B=C
Step-by-step explanation:
Please help and explain please. would appreciate it!Can someone please help and explain!
Answers
Answer:
x = 32 in
Step-by-step explanation:
8/34 = x/136
34x = 1088
x = 32 in
2 What is the solution of the equation 2 log, (5x) = 3?
8
1) 6.4 2) 2.56 3) 4) 8/5
Answers
Answer:
6.4 is the closest.
Step-by-step explanation:
2 log(5x) = 3
log(5x) = 3/2
10^3/2 = 5x
5x = 31.6228
x = 6.3246
How do I do this am very confuse and can you give me the answere to
Answers
By using substitution method, the equation is 10y²+56y-38.7=0
What is meant by an equation?An equation in French is defined as having one or more variables, whereas an equation in English is any well-formed formula consisting of two expressions combined with an equals sign.
Solving a variable equation includes determining which variables' values result in equality. Unknowns are the variables for which the equation must be solved, while equation solutions are the unknown values that satisfy the equality. An equation is a mathematical phrase with two equal sides separated by an equal sign. An equation is 4 + 6 = 10. We can see 4 + 6 on the left side of the equal sign and 10 on the right.
Given equations are:
2x+4y= -8.6
9x-5y=28
By using substitution method,
2x+4y= -8.6
⇒x+2y= -4.3
x= (-4.3/2y)
Substituting x value in the second equation, we get
9(-4.3/2y)-5y=28
-38.7-10y²=56y
10y²+56y-38.7=0
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whats the answer to this?
Answers
I hope this helps :)
Given the following information calculate the EAC and select from list below. Project is planned for 12 months
PV $30000
EV $26000
AC$29000
BAC $252000
a. $293,023.25
b. $296,023.78
c. $197, 043.96
d. $256,354,47
Answers
The correct answer for the Estimate at Completion (EAC) based on the given information is not among the provided options. The calculated EAC = $319,772.19.
Given the following information calculate the EAC and select from the list below. The project is planned for 12 months PV $30000 EV $26000 AC$29000 BAC $252000.The correct answer is option A) $293,023.25.
What is EAC? EAC (Estimate at Completion) refers to the total expected cost of the project. EAC includes the actual cost incurred to date as well as the expected cost required to complete the remaining project work.
The formula for EAC is as follows:
EAC = AC + (BAC - EV) / (CPI * SPI)
EAC= Estimated Cost at Completion, BAC= Budget at Completion, AC= Actual Cost, CPI= Cost Performance Index, SPI= Schedule Performance Index, EV= Earned Value, and PV= Planned Value.
Given, PV (Planned Value) = $30000EV, (Earned Value) = $26000, AC (Actual Cost) = $29000, BAC (Budget at Completion) = $252000.
Now, calculate CPI and SPI.
CPI (Cost Performance Index) = EV / AC = 26000 / 29000 = 0.8965SPI
(Schedule Performance Index) = EV / PV = 26000 / 30000 = 0.8667
Calculate EAC using the following formula:
EAC = AC + [(BAC - EV) / (CPI * SPI)]EAC = 29000 + [(252000 - 26000) / (0.8965 * 0.8667)]
EAC = 29000 + [226000 / 0.7773]
EAC = 29000 + 290772.19
EAC = $319,772.19
Therefore, the correct answer is not in the given options.
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4. At the start of a hike, a hiker was at an elevation of -50 feet (where 0 represents sea level). The hiker climbs at a rate of 15 feet per minute. a. Write an inequality that represents 1, the number of minutes after the start of the hike, when the hiker's elevation was higher than 5 feet above sea level. Explain or show your reasoning.
can you help
Answers
I took the test yesterday
find the quotient of 1 1\3 and 5\6
Answers
Answer:
1 3/5
Step-by-step explanation:
Answer:
Step-by-step explanation:
1 1/3=4/3
4/3 *6/5(division)
=24/15
=8/5
= 1 3/5
for what base-6 digit $d$ is $2dd5 6$ divisible by the base 10 number 11? (here $2dd5 6$ represents a base-6 number whose first digit is 2, whose last digit is 5, and whose middle two digits are both equal to $d$).
Answers
The digits base is 7 then we should convert them into base 6.
The exponent or power to which a base must be raised to yield a given number. Expressed mathematically, x is the logarithm of n to the base b if bx = n, in which case one writes x = logbn.
Here the conclusion is that there are many bases in the mathematics so what will happen is that we should convert these bases. For example, we have to convert base 10 of a number which is called decimal number can be converted into binary number whose base is 2 and after then if the digits base is 7 then we should convert them into base 6.
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PLEASE HELP ME I WILL DO ANYTHING!!
Answers
Answer:
i’m pretty sure it’s because they make 180°
Step-by-step explanation:
Leah works at an appliance store. She recorded her recent sales. washing machines 3 dishwashers 1 ovens 6 clothes dryers 5 What is the experimental probability that the next appliance Leah sells will be an oven? Write your answer as a fraction or whole number. P(oven)=
Answers
Answer:
2/5
Step-by-step explanation:
Add up everything which would be 15, then put the number of ovens their was as the numerator. Then you'd have 6/15 so then just simplify!
The ____ states that the sum of the measures of the interior angles of a triangle is 180°.
Koo
Answers
Which expreion have a quotient of 6? Select all that apply. 0. 48 ÷ 0. 8
4. 8 ÷ 8
0. 48 ÷ 0. 08
4. 8 ÷ 0. 8
4. 8/0. 8
Answers
Expreion have a quotient of 6 is 0. 48 ÷ 0. 08.
What is quotient?
In mathematics, the quotient is the result of performing division operations on two integers. It is essentially the outcome of the division procedure. In arithmetic division, the terms divisor, dividend, quotient, and remainder are employed in four different ways.Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
0. 48 ÷ 0. 8
=0.06
The solution for Long Division of \($\frac{4.8}{8}$\) is 0.6
The solution for Long Division of \($\frac{0.48}{0.08}$\) is 6.
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A 270 inch pipe is cut into two pieces one piece is 5 times the length of the other, find the length of the shorter piece
Answers
Answer:
the shorter stick is 45 inches
Step-by-step explanation:
you divide 270 by 6 giving u the length of the shorter piece
Julio has begun investing money. The value of Julio's investment can be modeled by the equation LaTeX: y=8150t (1.14\right)^t = 8150 ( 1.14 ) t where t is the number of years since 2010 and y is the value in dollars. What was the value of Julio's investment in 2018? Round your answer to the nearest dollar. Group of answer choices
Answers
Answer:
23,249 dollars
Step-by-step explanation:
Given the value of Julio investment expressed as;
y = 8150(1.14^t)
y is the value in dollars
At 2018, the number of years he has used in investing will have e=been 8 years. Substitute t = 8 into the expression;
y = 8150(1.14^8)
y = 8150(2.8526)
y = 23,248.58
Hence the investment amount in 2018 is 23,249 dollars