Answer:
\(y=\frac{2}{5}x-3\)
or
\(y+3=\frac{2}{5} (x-0)\)
Step-by-step explanation:
Finding the Equation of a Line Given Two Points:In order to find the equation of a line, we must identify point (x,y) and slope (m). Slope formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)Point-slope formula: \(y-y_1=m(x-x_1)\)Slope-intercept formula: \(y=mx+b\)We are given two points on Line A: (0,-3) and (5,-1). We can assign each integer to a variable in the slope formula (see above):
\(x_1=0\)
\(y_1=-3\)
\(x_2=5\)
\(y_2=-1\)
As we have identified point, we can now work to identify slope by substituting our points into the slope formula:
\(m=\frac{-1-(-3)}{5-0}=\frac{2}{5}\)
Now that we have identified both point and slope for Line A, we can format these values in point-slope form. Substitute values into the formula:
\(y-(-3)=\frac{2}{5} (x-0)=y+3=\frac{2}{5}x\)
Solve for \(y\) to achieve an answer in slope-intercept form (\(y=mx+b)\):
\(y=\frac{2}{5} x-3\)
4. Mary rode her mountain bike at a constant rate of 0.3 kilometer per minute. Which
table represents y, the number of kilometers Mary rode her mountain bike in x minutes?
Answer:
A
Step-by-step explanation:
Solve this equation for x.
5(1+3x)−9=4(3x−3)
x=−83
x=−19
x=23
x=89
What two ways could you describe the shape pattern below?
ΔΟΔΟΔΟ
Answer:
The pattern is a repeated triangle and circle.
So, the next shape would be a triangle and a circle.
Step-by-step explanation:
Imagine that 55% of the 800 students participate in music instead of 60%. How could
you use the idea of halves with the bar model to find 55% of 800?
Answer:
Step-by-step explanation:
Is (7,-6) a solution to this system of equations?
y = 1/7x+ 7
X = 7
yes
no
What is the sum of an interior angle and its adjacent exterior angle?
a.30°
b.90°
c.180°
d.360°
Hello!
The sum of an interior angle and its adjacent exterior angle is 180°
The answer is:
C) 180°
Work/explanation:
The sum of an interior angle and its adjacent exterior angle is \(\sf{180^o}\), which means that an interior angles and its adjacent exterior angle form a linear pair.
This also means that the angles are supplementary, because they add up to \(\sf{180^o}\).
Hence, the right choice is C.The graph below could be the graph of which exponential function?
||||
5
5
The graph could be the graph of exponential function of option b)
\(F(x) = 2 • (0.5)^{x} \)
The general form of an exponential function is
\(f(x) = {ab}^{x} \)
Here, a is the function's starting value and b is its growth factor.
F(x) is an increasing function if b > 1, and if b<1, then f(x) is a decreasing function
The function's initial value is 2 as can be seen from the provided graph. Therefore, a has a value of 2.
Given that the graph indicates that the function is decreasing, b must be less than 1.
It indicates that the necessary function is in the form of
\(f(x) = 2(b)^{x} \)
Where it is b<1
By checking option B, b=0.5<1. Hence, option B is the correct answer
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Note that the full question is:
(check the attached image)
The quotient of24 and the product of a number and 39. The variable expression is
Answer:
x=3
Step-by-step explanation:
24÷3=8
39÷3=13
Question #3
Given the following stemplot, determine the maximum value of the original data set.
O 100
8
98
9
0000
Test Scores
5
479
6 146779
7 002557799
8 12223455789
9 000333368
The maximum value of the original data set is 109.
To determine the maximum value of the original data set from the given stemplot, we need to look at the rightmost digits in each stem and identify the highest value.
Looking at the stemplot:
O 10 | 0 0 8 9 8 9 0 0 0
0 20 | 5 4 7 9 6
0 30 | 1 4 6 7 7 9 7
0 40 | 0 0 2 5 5 7 7 9 9 8
0 50 | 1 2 2 2 3 4 5 5 7 8 9 9
0 60 | 0 0 0 3 3 3 3 6 8
The rightmost digits in each stem represent the original data values. We can see that the highest value occurs in the stem "10" with a rightmost digit of "9".
Therefore, the maximum value of the original data set is 109.
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I need help I can't ask my teacher about this because I am sick so I need help learning to solve this.
Answer: x = 20
Step-by-step explanation:
\(\frac{3}{5} x - \frac{1}{4} x = 7\\12x-5x=140\\7x=140\\x=20\)
solve the rational equation
X+3/ 3x -2 - x-3/3x+2=176/9x^2-4
Answer:
8
i hope this will help you
PLEASEEEEEE HELPPPPP!!!!
A cat is stuck in a tall tree and needs to be saved by the Firefighters. The fire truck has a 35m ladder. The closest that it can get to the tree (because there are parked cars in the way) is 12m. The cat is in the tree, 39m up. Comment on the likelihood of the cat getting saved and justify your suggestion mathematically. (Show your work)
Answer:
Image attached
It is unlikely that the cat will be saved as the firefighters will be able to reach only up to 33 mm from the ground.
What is a Right angled Triangle ?A right angled triangle is a triangle with one of its angle as 90 degree and Pythagoras theorem can be applied to determine the sides of the triangle.
The ladder height = 35 m
The horizontal distance of the ladder = 12m
The height at which the cat is stuck is 39 m
By Pythagoras theorem , the height up to which the firefighters can reach can be determined
h = \(\rm \sqrt {35^2 - 12^2}\)
h = 32.8 ≈ 33 m
Therefore the height up to which the fire fighters can reach is 33m and the height at which the cat is stuck is at 39 m , the likelihood of the cat getting saved is not there.
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what is the average acce;eration of the particle over the interval 2
The particle's average acceleration between (1,3) and (3,3) is 0 m/s2.
What is coordinates?The ordinate is the distance of a point from the x-axis scaled with the y-axis. Coordinates are the abscissa and ordinate combined. The study of algebraic equations on graphs is known as coordinate geometry. Plotting points, lines, and curves on an x and y axis is an example of coordinate geometry. Make corrections. Coordinates are a pair of numbers that are used to locate a point or shape in a two-dimensional plane. A point's position on a 2D plane is defined by two numbers called the x-coordinate and the y-coordinate.
Here,
A= velocity/time
Points: ( 1,3) (3,3)
Velocity: 3-3=0
Time: 3-1=2
0/2= 0 meters/seconds^2
The average acceleration of the particle over the interval (1,3) and (3,3) is 0 m/s^2.
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Complete question:
What is the average acceleration of the particle within the time interval 1 second to 3 seconds? A. -1 meter/second2 B. 0 meters/second2 C. 1 meter/second2 D. 1.5 meters/second2 E. 2 meters/second2
Domain and range
O Function
O Not a function
Answer:
Radiation 1- Function
Radiation 2- Not a function
Radiation 3- function
Radiation 4- function
Answer:
1 - Function
2 - Not a function
3 - function
4 - function
Step-by-step explanation:
Identify the domain of the function shown in the graph.
4.1 Draw the four different views of the object, as indicated below, on square grid paper. Left Back Front Right
Remember to make use of the grid paper to maintain accuracy and proportionality across all four views.
Certainly! Below is a verbal description of how you can draw the four different views of the object on square grid paper:
Left View: Start by drawing the left side of the object as you would see it from a leftward perspective.
Capture its shape, height, and any visible features. Use the grid lines to maintain proportion and accuracy.
Back View: Move to the back of the object and draw what you see from that viewpoint.
Focus on its rear-facing details, contours, and any distinguishing characteristics. Utilize the grid paper to ensure proper alignment.
Front View: Now, face the object directly and draw its front view. Pay attention to its overall shape, dimensions, and any frontal features or patterns.
Utilize the grid lines to maintain symmetry and precision.
Right View: Finally, position yourself on the right side of the object and draw its appearance from that angle.
Portray the right-facing side, capturing its unique attributes and maintaining consistency with the previous views.
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GUYS HELP ME PLS. Tina is standing at the bottom of a hill. Matt is standing on the hill so that when Tina's line of sight is
perpendicular to her body, she is looking at Matt's shoes.
a. If Tina's eyes are 5 feet from the ground and 14.5 feet from Matt's shoes, what is the angle of elevation of
the hill to the nearest degree?
Answer:
71°
Step-by-step explanation:
The angle of elevation of the hill can be obtiaed using trigonometry :
Given
the opposite length = 14.5 feets
Adjacent = 5 feets
The angle of elevation vabnbe obtained using :
Tan θ = opposite / Adjacent
Where θ = angle of elevation
Tan θ = 14.5 / 5
Tan θ = 2.9
θ = tan^-1(2.9)
θ = 70.97 = 71°
I need this answer NOW pls help
A linear function contains the following points.
What are the slope and y-intercepts?
O A. the slope is -3.
the y-intercept is (0, -1)
O B. O A. the slope is 3
the y-intercept is (-1, 0)
O C. the slope is 1/3
and the y-intercept is (0, -1)
O D.the slope is 3.
the y-intercept is (0, -1)
Answer:
its samanthas ocupation
Step-by-step explanation:
Answer:
The answer is D
Step-by-step explanation:
I just took the test and i got this question right with that answer.
Micheal earns $87 for 15 hours of part time work. How long must he work to earn $135
Answer:
23.28 hours
Step-by-step explanation:
He earns 5.8 per hour of part-time work. You can find this by doing 87/15
Because we now know that he earns 5.8 per hour we can just do 135/5.8 (23.28) < this is rounding to the nearest hundreth
Clarence walks 3.1 miles around Lake Johnson every day for five days.
If it takes him a total of 6 hours to walk the 15.5 miles, what is his
average time per day?
minutes per day.
Answer:
Average time per day = 1.2 hours per day
Average time per day = 72 minutes per day
Step-by-step explanation:
To find Clarence's average time per day, we need to divide the total time he takes to walk the 15.5 miles by the number of days he walks, which is five.
Let's calculate his average time per day:
Average time per day = Total time / Number of days
Since Clarence takes a total of 6 hours to walk the 15.5 miles, we'll divide 6 by 5 to find his average time per day:
Average time per day = 6 hours / 5
Average time per day = 1.2 hours per day
To convert hours to minutes, we'll multiply the average time per day by 60:
Average time per day = 1.2 hours * 60 minutes
Average time per day = 72 minutes per day
Therefore, Clarence's average time per day is 72 minutes.
In the evening the temperature was
55°F, overnight it dropped 13°F, and in
the morning it rose 22°F to this
temperature.
Show the work please and thank you
Answer:
The current temperature would be 64°F
Step-by-step explanation:
first
55°F-13°F = 42°F
Now,
42°F + 22°F
= 64°F
Which of the following functions shows the absolute value parent function,
F(x) = |xl, horizontally stretched?
Answer: A
Step-by-step explanation:
Helppppppppppppp plssssssssss
Answer:
Step-by-step explanation:
8/12
please help I am stuck... Liner equations & graphs!!!
Answer:
T is correct (the fourth answer)
Step-by-step explanation:
Step-by-step explanation:
I believe it's graph T..
Identify the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation.) h(x) = 5 squareroot xe^-x increasing decreasing
The function h(x) = 5 square root x e^-x is increasing on the interval (0, ∞) and decreasing on the interval (-∞, 0).
1. Calculate h'(x) = 5 (1/2 x^-1/2 e^-x - x^1/2 e^-x)
2. Set h'(x) = 0 to find the critical points.
3. Since h'(x) < 0 for x < 0 and h'(x) > 0 for x > 0, h(x) is decreasing for x < 0 and increasing for x > 0.
4. Therefore, h(x) is increasing on the interval (0, ∞) and decreasing on the interval (-∞, 0).
The derivative of h(x) = 5 square root xe^-x is h'(x) = 5 (1/2 x^-1/2 e^-x - x^1/2 e^-x). Setting h'(x) = 0 gives the critical points of the function. Since h'(x) is negative for x < 0 and positive for x > 0, this tells us that the function is decreasing for x < 0 and increasing for x > 0. So, h(x) is increasing on the interval (0, ∞) and decreasing on the interval (-∞, 0). We can also conclude from the graph of the function that it is concave down for x < 0 and concave up for x > 0.
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Find f(-3) when f(x) = 4x-2x-7.
Answer:
-13
Step-by-step explanation:
f(x) = 4x-2x-7
when; f(x) = f(-3)
then, f(-3) = 4(-3) - 2(-3) - 7
= -12 + 6 - 7
= -19 + 6
= -13
A truck has used 39 liters of gas. It has 59 liters left in the tank. How many liters will the tank hold when it is full? =
Answer:
98 liters
Step-by-step explanation:
add 39 and 59
Help me please?! I’ll give brainliest
Answer: 8/27 cubic yards
Step-by-step explanation:
Volume of cube = side length ³
(2/3)³ = 2³ / 3³ = 8 / 27
I need a answer ASAP pls
Geometry Unit 2 Lesson 2 Homework
In questions 1-5, determine the type of reasoning for each statement.
In order to participate in school sports, students must have a minimum GPA of a 2.0. Jim has a GPA of 2.75, therefore he can participate in school sports.
Every Tuesday that Yolanda's family has visited a specific local restaurant, the kids' meals have been free. When Yolanda's family visits that restaurant next Tuesday, the kids' meals will be free.
A new movie director has grossed over 250 million for each of his first three movies. When his fourth movie is released, it will gross over 250 million.
The type of reasoning for each statement is as follows:
Statement 1 is deductive reasoningStatement 2 is abductive reasoningStatement 3 is abductive reasoningWhat is deductive reasoning?
Deductive reasoning is the type of reasoning that follows a more general statement to reach a specific conclusion. The conclusions of inductive reasoning is most likely true. This is the type of reasoning used in mathematics.
What is inductive reasoning?Inductive reasoning uses a more specific statement and arrive to a general conclusion. It is goes from bottom to up. The conclusion here is strongly persuasive to be true but still has false probability
For instance, in the second statement "Every Tuesday that Yolanda's family has visited a specific local restaurant, the kids' meals have been free" This does not logically mean the kids' meal is free but it is assumed to be free as it has been happening. more like taking a specific events that has happened for a while and assume it will always be so.
What is abductive reasoning?
Abductive reasoning is the type of reasoning that follows an incomplete observation to reach a more likely conclusion. The conclusions of abductive reasoning is more of a probability. This is the type of reasoning used in used in our day to day events.
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