What is an equation of the line parallel to the line on the graph that passes
through (4, 15)?
Weight of Bucket of Sand
Total weight (ounces)
Answers
Answer:
Step-by-step explanation:
The existing line appears to pass through (0, 20) and (10, 50)
so the line slope is m = Δy/Δx = (50 - 20) / (10 - 0) = 3
parallel lines have identical slopes
y = 3x + b
15 = 3(4) + b
b = 3
D. y = 3x + 3
[tex]\\ \rm\Rrightarrow m=\dfrac{25-20}{2}=5/2[/tex]
Slope of parallel line=5/2Equation of line in point slope form
[tex]\\ \rm\Rrightarrow y-y_1=m(x-x_1)[/tex]
[tex]\\ \rm\Rrightarrow y-15=5/2(x-4)[/tex]
[tex]\\ \rm\Rrightarrow 2y-30=5x-20[/tex]
[tex]\\ \rm\Rrightarrow 5x-2y+10=0[/tex]
Related Questions
Find the set of values of a for which the point P (2a + 3; 3a-2) is in the fourth quarter of the coordinate plane (with this
Not located on the coordinate axes).
Answers
Answer:
-3/2 < a < 2/3
Step-by-step explanation:
In the fourth quarter of the coordinate plane, x > 0 and y < 0. This means ...
2a +3 > 0
3a -2 < 0
__
The first inequality has the solution ...
2a > -3 . . . . subtract 3
a > -3/2 . . . . divide by 2
The second inequality has the solution ...
3a -2 < 0
3a < 2 . . . . add 2
a < 2/3 . . . divide by 3
The set of values of 'a' that put P in the fourth quarter is ...
-3/2 < a < 2/3
Which relationships have the same constant of proportionality between y and x as the following table?
y
4
32
7
56
8 64
Choose 3 answers:
Answers
Answer:
C
Step-by-step explanation:
32 / 4 = 8
56 / 7 = 8
64 / 8 = 8
help me with this please
Answers
Step-by-step explanation:
the scale factor is 1 : 150
you don't know what that means ?
it means that every unit (here cm) in the diagram corresponds in reality to 150 units.
so, 1 cm in the diagram is 150 cm in reality.
therefore we only need to multiply the sizes in the diagram by 150, and we get the real sizes.
length : 5 × 150 = 750 cm (7.5 m)
breadth : 3 × 150 = 450 cm (4.5 m)
and the perimeter is as for every rectangle :
2×length + 2×breadth = 2×750 + 2×450 = 1500 + 900 =
= 2400 cm (24 m)
A Jeep Grand Cherokee costs about $45,000 right now. What would be the monthly payment if you could get a 60 month loan at 7.5% APR? Can you afford this?
Answers
The monthly payment if you could get a 60-month loan at 7.5% APR is $1,031.25
First, we need to get the amount on the cost of the Jeep at the rate of 7.5% using the formula
Amount = Principal + Interest
Given the following parameters
Interest = PRTR is the rate = 7.5%T is the time in years = 5 yearsGet the interest
Interest = 45,000 * 0.075 * 5 Interest = $16,875Get the amount;
Amount = $45,000 + $16,875Amount = $61,875Calculate the monthly payment:
Monthly payment = Amount/60Monthly payment = $61,875/60Monthly payment = $1,031.25Hence the monthly payment if you could get a 60-month loan at 7.5% APR is $1,031.25
Learn more on compound amount here: https://brainly.com/question/24924853
anyone who solves this problem for me .... I really need help
Answers
a) The value of [tex]k'(0)[/tex] is [tex]\frac{3\sqrt{3}}{2}[/tex].
b) The value of [tex]m'(5)[/tex] is approximately -0.034.
c) The value of [tex]x[/tex] is approximately 0.622.
a) [tex]f(x)[/tex] is a piecewise function formed by two linear functions, whose form is defined by the following definition:
[tex]f(x) = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} \cdot x + b[/tex] (1)
Where:
[tex](x_{1}, y_{1})[/tex], [tex](x_{2}, y_{2})[/tex] - Two distinct points of the line.[tex]x[/tex] - Independent variable.[tex]f(x)[/tex] - Dependent variable.[tex]b[/tex] - x-InterceptNow we proceed to determine the linear functions:
Line 1: [tex]x \in [-1, 2)[/tex]
[tex](x_{1}, y_{1}) = (0, 3)[/tex], [tex](x_{2}, y_{2}) = (1, 5)[/tex], [tex]b = 3[/tex]
[tex]f(x) = \frac{5-3}{1-0}\cdot x + 3[/tex]
[tex]f(x) = 2\cdot x + 3[/tex]
Line 2: [tex]x \in [2, 8][/tex]
[tex](x_{1}, y_{1}) = (2, 7)[/tex], [tex](x_{2}, y_{2}) = (8, 3)[/tex]
First, we determine the slope of function:
[tex]m = \frac{3-7}{8-2}[/tex]
[tex]m = -\frac{2}{3}[/tex]
Now we proceed to determine the intercept of the linear function:
[tex]7 = -\frac{2}{3}\cdot 2 + b[/tex]
[tex]b = \frac{25}{3}[/tex]
[tex]f(x) = -\frac{2}{3}\cdot x +\frac{25}{3}[/tex]
The first derivative of a linear function is its slope, and the first derivative of a product of functions is defined by:
[tex]k'(x) = f'(x)\cdot g(x) + f(x)\cdot g'(x)[/tex]
If we know that [tex]f(x) = 2\cdot x + 3[/tex], [tex]f'(x) = 2[/tex], [tex]g(x) = \sqrt{x^{2}-x+3}[/tex], [tex]g'(x) = \frac{2\cdot x - 1}{2\cdot \sqrt{x^{2}-x+3}}[/tex] and [tex]x = 0[/tex], then:
[tex]k'(x) = 2\cdot \sqrt{x^{2}-x+3}+\frac{(2\cdot x +3)\cdot (2\cdot x - 1)}{2\cdot \sqrt{x^{2}-x+3}}[/tex]
[tex]k'(0) = 2\sqrt{3}-\frac{3}{2\sqrt{3}}[/tex]
[tex]k'(0) = \frac{12-3}{2\sqrt{3}}[/tex]
[tex]k'(0) = \frac{9}{2\sqrt{3}}[/tex]
[tex]k'(0) = \frac{3\sqrt{3}}{2}[/tex]
The value of [tex]k'(0)[/tex] is [tex]\frac{3\sqrt{3}}{2}[/tex].
b) The derivative is found by means of the formulas for the derivative of the product of a function and a constant and the derivative of a division between two functions:
[tex]m'(x) = \frac{f'(x)\cdot g(x)-f(x)\cdot g'(x)}{2\cdot [g(x)]^{2}}[/tex] (2)
If we know that [tex]f(x) = -\frac{2}{3}\cdot x +\frac{25}{3}[/tex], [tex]f'(x) = -\frac{2}{3}[/tex], [tex]g(x) = \sqrt{x^{2}-x+3}[/tex], [tex]g'(x) = \frac{2\cdot x - 1}{2\cdot \sqrt{x^{2}-x+3}}[/tex] and [tex]x = 5[/tex], then:
[tex]f(5) = 5[/tex]
[tex]f'(5) = -\frac{2}{3}[/tex]
[tex]g(5) = \sqrt{23}[/tex]
[tex]g'(5) = \frac{9\sqrt{23}}{46}[/tex]
[tex]m'(5) = \frac{\left(-\frac{2}{3} \right)\cdot \sqrt{23}-\left(-\frac{2}{3} \right)\left(\frac{9\sqrt{23}}{46} \right)}{3\cdot 25}[/tex]
[tex]m'(5) \approx -0.034[/tex]
The value of [tex]m'(5)[/tex] is approximately -0.034.
c) In this case we must find a value of [tex]x[/tex], so that [tex]h'(x) = 2[/tex]. Hence, we have the following formula below:
[tex]5\cdot e^{x}-9\cdot \cos x = 2[/tex]
A quick approach is using a graphing tool a locate a point so that [tex]5\cdot e^{x}-9\cdot \cos x = 2[/tex]. According to this, the value of [tex]x[/tex] is approximately 0.622.
To learn more on derivatives, we kindly invite to check this verified question: https://brainly.com/question/21202620
Activity 3.
Direction. Name the ratio as a fraction in simplest form.
1. P5.00 to P60.00
2. 1 hour to 40 minutes
3. 2 weeks to 4 days
4. Eight out of 30 passengers are tourist. Give the ratio of tourist to passengers.
5. For every 45 passengers, 9 are foreigners. Write the ratio of foreigners to
passengers.
Please answer please help me
Answers
Answer:
see explanation
Step-by-step explanation:
(1)
[tex]\frac{5}{60}[/tex] ( divide numerator/ denominator by 5 )
= [tex]\frac{1}{12}[/tex] ( in simplest form )
(2)
both quantities must have the same units
1 hour = 60 minutes , then
[tex]\frac{60}{40}[/tex] ( divide numerator/ denominator by 20 )
= [tex]\frac{3}{2}[/tex] ( in simplest form )
(3)
1 week = 7 days then 2 weeks = 2 × 7 = 14 days , so
[tex]\frac{14}{4}[/tex] ( divide numerator/ denominator by 2 )
= [tex]\frac{7}{2}[/tex] ( in simplest form )
(4)
[tex]\frac{8}{30}[/tex] ( divide numerator/ denominator by 2 )
= [tex]\frac{4}{15}[/tex] ( in simplest form )
(5)
[tex]\frac{9}{45}[/tex] ( divide numerator/ denominator by 9 )
= [tex]\frac{1}{5}[/tex] ( in simplest form )
I need this soon pls
Answers
Its (x, y) so the x is first and the y is last
Parallelogram TUVW is graphed on a coordinate plane with vertices at T (3, 4), V (-10,-2), V(-6,5),
and
W (7,11). Parallelogram TUVW Is dilated by a scale factor p with the origin as the center of dilation to
create parallelogram T'U'V'W'. Which ordered pair represents the coordinates of the dilated vertex V'?
G (-6 + P, 5+ p)
(-6p, Sp)
Answers
The coordinates of the dilated vertex V' is (-6p, 5p)
Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, rotation and dilation.
Dilation is the increase or decrease in the size of a figure. If a point A(x, y) is dilated by a factor k, the new point is A'(kx, ky).
The Parallelogram TUVW has vertices at T(3, 4), U(-10,-2), V(-6,5) and W (7,11). If it is dilated by a scale factor p with the origin, the new point is at:
T'(3p, 4p), U'(-10p, -2p), V'(-6p, 5p) and W'(7p, 11p)
Find out more on dilation at:https://brainly.com/question/10253650
simplify [tex]y^{-3}[/tex]y^-3
Answers
Answer:
[tex]\frac{1}{y^{3} }[/tex]
Step-by-step explanation:
Read the passage below.
You will respond by writing an informational response paragraph.
You will find specific writing directions below the passage.
GOLD IN THE SKY
By Alan E. Nourse
Chapter 1. Trouble Times Two
The sun was glowing dull red as it slipped down behind the curving horizon of Mars, but Gregory Hunter was not able to see it.
There was no viewscreen in the ship's cabin; it was too tiny for that. Greg twisted around in the cockpit that had been built just big enough to hold him, and shifted his long legs against the brace-webbing, trying to get them comfortable.
He knew he was afraid ... but nobody else knew that, not even the captain waiting at the control board on the satellite, and in spite of the fear Greg Hunter would not have traded places at this moment with anyone else in the universe.
He had worked too hard and waited too long for this moment.
He heard the count-down monitor clicking in his ears, and his hands clenched into fists. How far from Mars would he be 10 minutes from now? He didn't know. Farther than any man had ever traveled before in the space of 10 minutes, he knew, and faster. How far and how fast would depend on him alone.
"All set, Greg?" It was the captain's voice in the earphones.
"All set, Captain."
"You understand the program?"
Greg nodded. "24 hours out, 24 hours back, 90 degrees to the ecliptic1, and all the acceleration2 I can stand both ways."
Greg grinned to himself. He thought of the months of conditioning he had gone through to prepare for this run ... the hours in the centrifuge to build up his tolerance to acceleration, the careful diet, the rigorous hours of physical conditioning. It was only one experiment, one tiny step in the work that could someday give men the stars, but to Gregory Hunter at this moment it was everything.
"Good luck, then." The captain cut off, and the blastoff buzzer sounded.
He was off. His heart hammered in his throat, and his eyes ached fiercely, but he paid no attention. His finger crept to the air-speed indicator, then to the cut-off switch. When the pressure became too great, when he began to black out, he would press it.
But not yet. It was speed they wanted; they had to know how much acceleration a man could take for how long and still survive, and now it was up to him to show them.
Fleetingly, he thought of Tom ... poor old stick-in-the-mud Tom, working away in his grubby little Mars-bound laboratory, watching bacteria grow. Tom could never have qualified for a job like this. Tom couldn't even go into free-fall for 10 minutes without getting sick all over the place. Greg felt a surge of pity for his brother, and then a twinge of malicious anticipation. Wait until Tom heard the reports on this run! It was all right to spend your time poking around with bottles and test tubes if you couldn't do anything else, but it took something special to pilot an XP ship for Project Star-Jump. And after this run was over, even Tom would have to admit it....
There was a lurch, and quite suddenly the enormous pressure was gone.
Something was wrong. He hadn't pushed the cut-off button, yet the ship's engines were suddenly silent. He jabbed at the power switch. Nothing happened. Then the side-jets sputted, and he was slammed sideways into the cot.
He snapped on the radio speaker. "Control ... can you hear me? Something's gone wrong out here...."
1The great circle that is the apparent path of the Sun.
2The process of moving faster or happening more quickly.
------------------------
Now that you have read the passage, you will write an informational response paragraph to answer the following question:
How does this story create a feeling of tension or conflict?
Read the directions carefully so you know what to include in your essay.
Begin your paragraph by rephrasing the question into a topic sentence. Be sure to include the title and the author.
Include 3 or more specific examples, details, or quotes from the passage to support your answers to the prompt.
End with a conclusion sentence to wrap up your ideas.
Proofread your work before submitting.
(100 points)
Answers
Answer:
nobotty nows
Step-by-step explanation:
1/8+1/4=? do you know what it could be!?
Answers
Answer:0.375
Step-by-step explanation:
1/8 + 1/4 = 3/ 8=0.375
LAST ATTEMPT MARKING AS BRAINLIEST!! (Graph the image of the figure using the dilation given)
Answers
Answer:
[tex]V(1,2) \to V \ ' \ (0.5,1)\\\\U(0,2) \to U \ ' \ (0,1)\\\\T(-1,0) \to T \ ' \ (-0.5, 0)\\\\W(1,-2) \to W \ ' \ (0.5,-1)\\\\[/tex]
===========================================================
Explanation:
Multiply each coordinate by 0.5, which is the same as the fraction 1/2.
This causes the preimage to shrink to a smaller image.
The rule I'm using is [tex](x,y) \to (kx,ky)[/tex] where the scale factor is k = 0.5
The simplified equation after clearing the decimals is
-12.2 + 2.8w - 8.8 = 1.05w
Answers
Answer:
-21=-4w
w=5.25
but you don’t want decimals
so- you round down
w=5
Step-by-step explanation:
You combine like terms, and then make sure your variable is alone, the only way to get it alone from a ”mixed number” is to divide
you do the same thing to both sides
so divde each side by -4
-21/-4 = 5.25
or with it rounded down since it’s under a five
It’s 5 with the decimals removed
i hope this helps
An undersea explorer descends from the surface at a rate of 36 feet per minute.
What is the position of the undersea explorer relative to the surface after descending for 4 minutes?
Enter your answer in the box.
Answers
Answer:
-144 feet from the surface in 4 minutes
Step-by-step explanation:
-36 x 4
With the same rate, the position of the undersea after 4 minutes will be -144.
What is the rate of change?The rate of change is the change of a quantity over 1 unit of another quantity.
Most of the time the rate of change is the change with respect to time.
For example the speed 3meter/second.
As per the given,
Rate of descends = 36 feet per minute
After 4 minutes,
36 x 4 = 144
Since it is descending so it can be said to be -144.
Hence "After 4 minutes at the same rate, the position of the undersea will be -144".
To learn more about the rate of change here,
brainly.com/question/12786410
#SPJ2
List all the factors of 42 from least to greatest. Enter your answer below,
using a comma to separate each factor.
Answer Here
SUBMIT
Answers
Answer:
Factors of 42: 1, 2, 3, 6, 7, 14, 21 and 42.
Step-by-step explanation:
:)
Whta is the geometric mean of 5 and 36
Answers
Step-by-step explanation: 2 × 18 = 36. Then (as there are two numbers) take the square root: √36 = 6. this is for 36
Answer: 13
Step-by-step explanation:√(5 × 36) = 13.416407865
The Hickory Stick has a selection of 3 meats and 6 vegetables. How many different selections of one meat and one vegetable are possible
Answers
The different selections of one meat and one vegetable are possible are 18 selections.
Since the Hickory Stick has a selection of 3 meats and 6 vegetables, the number of ways we can select one meat out of 3 is ³C₁ = 3.
Also, the number of ways we can select one vegetable out of 6 is ⁶C₁ = 6.
So, the total number of selections of one meat and one vegetable is ³C₁ × ⁶C₁ = 3 × 6
= 18 selections
So, the different selections of one meat and one vegetable are possible are 18 selections.
Learn more about combination here:
https://brainly.com/question/19341024
plz help me to answer
Answers
For the 20ft from doc. Set up triangle, with dr/dt on the hypotenuse = 2. 6 on the y, 20 on the x. Use x^2+ y^2= r^2. Differentiate and solve for dx/dt. 2x(dx/dt) + 2y(dy/dt)=2r(dr/dt); Since y value does not change, your y vector is equal to 0. Giving us 2x(dx/dt)=2r(dr/dt) ; dx/dt=(2r(dr/dt))/2x
Do the same thing for 10ft
No it is not surprising because as the angle between the dock and the boat decreases, more force is being used to pull up on the boat, not pull it inwards. Thus, the boats horizontal velocity will slow down as it beats the dock.
Given f(x)=1/4(5−x)2 what is the value of f(11)?
Answers
Answer:
-3
Step-by-step explanation:
Substitute the value of 11 into x within the function so it would be f(11) = 1/4(5-11)2 which is - 3.
Please look for the question in the picture.
Answers
Answer:
two negitives equals a positive so C none of the above
Hope This Helps!!!
Answer:
A and B
Step-by-step explanation:
TV that usually sells for $180.59 is on sale for 20% off. If sales tax on the TV is 9%, what is the price of the TV, including tax?
Answers
Answer:
157.47448
Step-by-step explanation:
here you go i did all the math hope this helped
Answer:
128.2189
Step-by-step explanation:
thats the price of the TV including tax
Bethany posts a lit selfie yo, and she receives 49 likes in the first 7 minutes. At this rate, how many likes will she have in 10 minutes?
Answers
Answer:
70 likes
Step-by-step explanation:
49 likes / 7 minutes = 7 likes / minute
10 minutes * 7 likes / minute = 70 likes / 10 minutes
What is the value of the fraction below?
Answers
Answer:
undefined.......it's infinity
B) Undefined
John finished his English assignment in 1/3 hours. Then he completed his chemistry assignment in 2/5 hours. What was the total amount of time John spent doing these two assignments?
these two assignments?
Answers
Answer: 11/15 hours
Step-by-step explanation:
Find LCD (lowest common denominator)
1/3=5/15
2/5=6/15
6/15+5/15=11/15 hours or 44 minutes
Pleaseee HELPPPPPP HELPPPPP PLEASE
Answers
Answer:
14.6
Step-by-step explanation:
the given angle 6.2 is cleared to be wrong
so we will erase the point of decimal and times sin62 with hypotenous 16.5 that will give us 14.6 length unit as 2 triangles are symmetric as the line cut them to 2 equal triangles
Please hurry and answer!
This graph gives growth of a plant overtime what is the slope of the line, and what does the slope mean in situation
select from the drop down menus to correctly complete the statement
The slope is blank which means that the plant blank by blank everyday
Answers
Using the slope of the linear function, it is found that:
The slope is of 0.5, which means that the plant grows by 0.5 inches each day.A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is by how much the output y changes when the input x changes by 1.b is the y-intercept, which is the value of y when x = 0.In this problem:
x is the time in days.y is the height in inches.Two of the points are: (0,0) and (2,1).
The slope is given by change in y divided by change in x, hence:[tex]m = \frac{1 - 0}{2 - 0} = \frac{1}{2} = 0.5[/tex]
Then, applying the interpretation:
The slope is of 0.5, which means that the plant grows by 0.5 inches each day.To learn more about slopes and linear functions, you can take a look at https://brainly.com/question/16302622
Answer:
hes correct. the slope is 0.5 and it grows 0.5 inches everyday
Step-by-step explanation:
Karen, Trey, and Dante have a total of 75 in their wallets. Karen has 5 more than Trey. Dante has 2 times what Karen has. How much do they have in their wallets?
Answers
Answer: Karen has 20, Trey has 15, Dante has 40
Step-by-step explanation:
Karen=x+5 Trey=x Dante=2x+10
x+x+5+2x+10=75
4x+15=75
4x=60
x=15
Which of the following numbers are composite?
6,14,25,30,52
Answers
Answer:
All of them are composite
Step-by-step explanation:
In math, composite numbers can be defined as the whole numbers that have more than two factors. Whole numbers that are not prime are composite numbers, because they are divisible by more than two numbers.
Which one is correct
Answers
3.
Which two expressions can be used to find the value of (36)(24)?
A (30-6)(30 - 6)
(30 + 6)(30 - 6)
C 30²- 6²
B
D302 - 360 +62
-
E 30² +62
Answers
Answer:
962
Step-by-step explanation: 30²- 6² is 962