Find the equation for the line that passes through ( - 4,9) that has slope 5/7
slope form. You do not need to simplify.
Answers
Answer:
y = 5/7x + 83/7
Step-by-step explanation:
y-9=5/7(x--4) **x--4 turns into x+4 bc its a double negative**
y-9=5/7x + 20/7
y= 5/7x + 83/7
Related Questions
Which rational number is one tick mark to the right of Negative StartFraction 6 Over 4 EndFraction on the number line below?
Answers
Answer:
the answered is a
Step-by-step explanation:
hope this helps
Answer:
-1 3/4
Step-by-step explanation:
If the number .25 were written as a fraction, what would the denominator be? 5
100
10
20
Answers
Answer:
100
Step-by-step explanation:
no answered needed lol
Answer:
if 25 were written as a fraction,denominator will be 100
Like us, mice are warm-blooded creatures. Their bodies must maintain a constant
temperature of 37°C, regardless of the temperature of their environment. Doing so burns
calories. The more severe the temperature difference, the more calories the mouse must
burn to maintain its body temperature. Consulting the research literature, you found the
following model:
C = 0.37219T + 1,560
Where C is the number of calories an idle mouse burns each day and T is the temperature
of its environment in °C. What is the most comfortable temperature for an idle mouse?
(This is the temperature where it burns the least calories per day). How many calories will
it burn each day at that temperature?
Answers
At a temperature of 20°C, the mouse would burn approximately 1,567.44 calories each day.
According to the given model C = 0.37219T + 1,560, where C represents the number of calories an idle mouse burns each day and T represents the temperature of its environment in °C.
To find the most comfortable temperature for an idle mouse, we need to determine the temperature at which the mouse burns the least amount of calories per day.
To find this temperature, we can minimize the equation C = 0.37219T + 1,560. To do so, we take the derivative of C with respect to T and set it equal to zero:
dC/dT = 0.37219 = 0
Solving this equation, we find that the derivative is a constant value, indicating that the function C = 0.37219T + 1,560 is a linear equation with a slope of 0.37219. This means that the mouse burns the least calories at any temperature, as the slope is positive.
Therefore, there is no specific "most comfortable" temperature for an idle mouse in terms of minimizing calorie burn. However, if we consider the range of temperatures mice typically encounter, we can find a temperature where the calorie burn is relatively low.
For example, if we take a temperature of 20°C, we can calculate the calorie burn:
C = 0.37219 * 20 + 1,560
C = 7.4438 + 1,560
C ≈ 1,567.4438 calories per day
Therefore, at a temperature of 20°C, the mouse would burn approximately 1,567.44 calories each day.
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Which expression is equivalent to StartRoot 8 x Superscript 7 Baseline y Superscript 8 Baseline EndRoot? Assume x greater-than-or-equal-to 0.
x y squared StartRoot 8 x cubed EndRoot
2 x cubed y cubed StartRoot x y squared EndRoot
2 x cubed y Superscript 4 Baseline StartRoot 2 x EndRoot
4 x cubed y Superscript 4 Baseline StartRoot x EndRoot
Answers
The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.
To understand why this is the case, let's break down each expression and simplify them step by step:
StartRoot \(8 x^7 y^8\) EndRoot:
We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.
Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.
(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:
Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.
Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.
Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.
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Is the vertex from if
y=-.29 (x) ^2 +8 what is factored form
Please help it’s due today!!!!
I will mark you brainless
Answers
Answer: Vertex is (0,8)
what is 5 x 28 / 10 + 100 - 2
Answers
Answer:
The answer is 112
Step-by-step explanation:
((58 x 28) / 10) + 100 - 2
Have a good day!
Jenny exercises 6 days this week. She burned an average 284 calories each day. Write a division equation that could be used to find the total of calories she burned this week
Answers
Requried, Jenny burned a total of 1,704 calories this week, and the division equation is 284 = x / 6.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
To find the total number of calories Jenny burned this week, we can multiply the average number of calories burned per day by the number of days she exercised.
The division equation that could be used to find the total number of calories burned this week is,
average calories burned per day = Total calories burnt(x) / (number of days exercised)
Substituting the given values, we get:
284 = x / 6
Total calories burned = 284 calories/day × 6 days = 1,704 calories
Therefore, Jenny burned a total of 1,704 calories this week.
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Someone please answer it’s 50 points!!
Answers
Hello!
Let's consider what the question asks for:
==> equation of tangent line to y = 3sin(x)
--> at: x = 5π/4
To find the slope of the line at a specific point on the function
--> MUST find the derivative of equation
\(\frac{d}{dx} 3sin(x)=3cos(x)\)
Derivative is function to find slope of function at every specific point
--> let's find the slope at x = 5π/4
\(3cos(x)=3*cos(\dfrac{5\pi }{4} )=3*(-\dfrac{\sqrt{2} }{2} )=-\dfrac{3\sqrt{2} }{2}\)
Now that we found the slope, we must also find the point at which the tangent line touches the function
--> simply plug x = 5π/4' to find y
\(y=3sin(\dfrac{5\pi }{4} )=-\dfrac{3\sqrt{2} }{2}\)
--> thus our point which the tangent line and function touch is
\((\dfrac{5\pi }{4},-\dfrac{3\sqrt{2} }{2} )\)
Now let's write our tangent line's equation in point-slope form:
\(y+\dfrac{3\sqrt{2} }{2} =-\dfrac{3\sqrt{2} }{2} (x-\dfrac{5\pi }{4})\) <== Answer
To the nearest degree, what is the measure of the central angle for bathing?
Answers
The central angle of Bathing = 108 degrees.
In the given pie chart,
Since we know,
A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle possesses rotational symmetry around the center.
The whole circle is 360 degrees
which represents 100%.
It is given that,
Bathing = 30%
So have need to find 30% of 360 degrees.
Therefore,
Bathing = (30/100)x360
= (30/10) x 36
= 3x36
= 108
Hence,
The central angle = 108 degrees.
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The complete question is:
To the nearest degree, what is the measure of the central angle for bathing?
Solve the problem.
7/8 - 6/7 =
Answers
Answer:
1/56
Step-by-step explanation:
Answer:
1/56
Step-by-step explanation
First, find the common denominator
8 x 7 = 56
7 x 8 = 56
Your new equation is now:
7/56 - 6/56 = 1/56
Which linear inequality is represented by the graph?
y > 2x + 2
y ≥ One-halfx + 1
y > 2x + 1
y ≥ One-halfx + 2
Answers
Answer: y > 2x + 1
Step-by-step explanation:
In the graph first, we can see two things:
The line is not solid (so the values in the line are not included), and the shaded part is above, so we will be using the symbol:
y > f(x)
Now, in the line we can see that when x = 0, y = 1.
So the linear equation must be something like:
f(x) = a*x + 1
The only one that has an y-intercept equal to 1 is y > 2x + 1
Answer:
C or y>2x +1
Step-by-step explanation:
edge
Find the interquartile of the data set that consists of 8,18,4,2,3,7,11,13,5,1 answers 11,8,6,3
Answers
Answer:
I.Q.R = 11 - 3
I.Q.R = 9
the interquartile range = 9
Х 8 А 3 D 4
PLEASE HELP
Answers
Answer:
X=4
Step-by-step explanation:
What is the midpoint of WY?
Answers
Answer:
The mid point of XY should be -0.5
Step-by-step explanation:
I don't know if that's what you want
I hope I helped ¯\_(ツ)_/¯
To the nearest tenth of a second, how long after the pebble falls will it hit the ground?
s
Answers
Answer:
Ask away by typing or recording your messageAdam, Ben and Carly work out the mean of their ages.Adam is 4 years older than the mean. Ben is 1 year younger than the mean.Is Carly older or younger than the mean?By how many years?Let's start by finding the mean of their ages. We can do this by adding their ages and dividing by the number of people: Mean = (Adam's age + Ben's age + Carly's age) / 3 Let's call the mean "M" for now. We can use this to create two equations based on the information given: Adam = M + 4 Ben = M - 1 We can substitute these equations into the mean equation to get: M = (M + 4 + M - 1 + Carly's age) / 3 Simplifying this equation gives us: 3M = 2M + 3 + Carly's age Carly's age = M - 3 So Carly's age is younger than the mean by 3 years.Hey ✋, are you still around? anything else on your mind?To the nearest tenth of a second, how long after the pebble falls will it hit the ground?sTo answer this question, we need to know the height from which the pebble was dropped. We can use the formula: time = sqrt(2 * height / acceleration due to gravity) Assuming the pebble was dropped from a height of 10 meters, and taking the acceleration due to gravity as 9.8 m/s^2, we get: time = sqrt(2 * 10 / 9.8) = 1.43 seconds (to two decimal places) Therefore, the pebble will hit the ground approximately 1.43 seconds after it was dropped.
0 / 350
Which of the following equations has a slope of -3 and a y-intercept of 8? *
Answers
Equipment was purchased for $50,000. The equipment is expected to be used 15,000 hours over its useful life and has a residual value of $10,000. In the first two years of operation, the equipment was used for 2,700 hours and 3,300 hours, respectively. Using the activity-based method, what is the equipment’s accumulated depreciation at the end of the second year?
Answers
The equipment’s accumulated depreciation at the end of the second year is $16,000.
What is the accumulated depreciation?Depreciation is the process used in expensing the cost of an asset. The activity based method allocates the depreciation expense using the number of hours the asset was used. Accumulated depreciation is the sum of the depreciation over a period of time.
Depreciation expense using the activity based method = (cost of the asset - residual value) x (number of hours used in a year / total number of hours)
Depreciation expense in year 1 = ($50,000 - $10,000) x (2,700 / 15,000)
$40,000 x 0.18 = $7,200
Depreciation expense in year 2 = ($50,000 - $10,000) x (3,300 / 15,000)
$40,000 x 0.22 = $8,800
Accumulated depreciation = $8,800 + $7,200 = $16,000
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Building A is 464 feet tall and Building B is 321 feet tall. Dale is standing between the buildings. The angle of elevation from the point on the ground where Dale is standing is 75 degrees to the top of Building A and 48 degrees to the top of Building B, how far apart are the buildings?
Answers
Answer:
The distance between the buildings is:
D = 413.3 ft
Step-by-step explanation:
Ok, here we have two triangle rectangles, such that these triangle rectangles share a common vertex which is Dale.
One of the triangles, let's call it triangle A, has the catheti:
Distance between Dale and Building A = d1
Height of Building A = 464 ft
The other triangle (triangle B) has the catheti:
Distance between Dale and Building B = d2
Height of building B = 321ft
We want to find the distance between the buildings, which is equal to d1 + d2.
Then we want to find d1 and d2.
For triangle A:
We know that the angle at the vertex where Dale is standing, is 75°
Then the adjacent cathetus is d1, and the opposite cathetus is the height of building A.
Remember that:
Tan(θ) = (opposite cathetus)/(adjacent cathetus)
Then:
Tan(75°) = (464 ft)/(d1)
d1 = (464 ft)/(Tan(75°)) = 124.3 ft
Now for triangle B, the angle at the vertex where Dale is standing is 48°.
from this vertex, we have d2 as the adjacent cathetus and the height of build B as the opposite cathetus.
Then:
Tan(48°) = 321ft/d2
d2 = (321ft)/(Tan(48°)) = 289ft
Then the distance between the buildings is:
D = d1 + d2 = 124.3 ft + 289ft = 413.3 ft
which function will have the greatest value at
\(x = 16 \)
\( y = {10}^{16} \)
\(y = {x}^{2} - 17x + 182\)
\(y = {1.17}^{x} \)
Answers
The function that would have the greatest value at x = 16 include the following: B. y = x² - 17x + 182.
How to determine the corresponding output value for the given function?In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.
In this exercise, we would determine the corresponding output value for this function of y based on the x-value (x = 16) in simplified form as follows;
\(y = 10^{16}\)
y = 10,000,000,000,000,000.
y = x² - 17x + 182
y = 16² - 17(16) + 182
y = 256 - 272 + 182
y = 166.
\(y = 1.17^x\\\\y = 1.17^{16}\)
y = 12.330304108137675851908392069373.
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What is 6.2% of 105 also please include what equation you use to find it
Answers
Answer:
6.51
Step-by-step explanation:
105×6.2/100
it gives 6.51
Find the volume of the shape below. Round to the nearest tenth. Use
the pi button on the calculator.
12 ft
Volume=
4 ft
ft3
Answers
The volume of the cone with a diameter of 4ft and height 12ft is approximatelly 50.3 ft³
What is the volume of the cone?A cone is simply a 3-dimensional geometric shape with a flat base and a curved surface pointed towards the top.
The volume of a cone is expressed as;
V = (1/3)πr²h
The figure in the image is a cone.
Diameter of the base of the cone d = 4ft
Radius r = diameter/2 = 4/2 = 2ft
Height h = 12ft
Plug the given values into the above formula and solbr for the volume.
V = (1/3)πr²h
V = (1/3) × π × r² × h
V = (1/3) × π × (2 ft )² × 12ft
V = 50.3 ft³
Therefore, the volume is 50.3 ft³.
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In the real world, functions are mathematical representations of input-output situations. A vending machine is one such example. The input is the money combined with the selected button. The output is the product.
Here is another example: The formula for converting a temperature from Fahrenheit to Celsius is a function expressed as:
C = (5/9)*(F - 32), where F is the Fahrenheit temperature and C is the Celsius temperature.
If it is 77 degrees Fahrenheit in Phoenix Arizona, then what is the equivalent temperature on the Celsius thermometer?
Our input is 77.
C = (5/9)*(77 - 32)
C = (5/9)*(45)
C = 25
The equivalent temperature is 25 degrees Celsius.
To complete the Discussion activity, please do the following:
Choose your own function or choose from the list below and then provide a unique example of a function and evaluate the function for a specific input (like the example above).
Arm length is a function of height.
The circumference of a circle is a function of diameter.
The height of a tree is a function of its age.
The length of person's shadow on the ground is a function of his or her height.
Weekly salary is a function of the hourly pay rate and the number of hours worked.
Compound interest is a function of initial investment, interest rate, and time.
Supply and demand: As price goes up, demand goes down.
Answers
The correct answer is John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.
Let's choose the function "Weekly salary is a function of the hourly pay rate and the number of hours worked."Example: John works as a part-time employee at a grocery store. His hourly pay rate is $12, and he worked for 20 hours in a week. We can evaluate the function to find his weekly salary.
Weekly salary = Hourly pay rate * Number of hours worked
Weekly salary = $12/hour * 20 hours
Weekly salary = $240
So, John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.
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Does this set of ordered pairs represent a function? Why or why not?
{(-2,2), (-1,2), (3,-1), (3, 1), (4,11)}
A. No, because one x-value corresponds to two different y-values.
B. Yes, because there are two x-values that are the same.
C. Yes, because every x-value corresponds to exactly one y-value.
D. No, because two of the y-values are the same.
Answers
Answer:
A
Step-by-step explanation:
one X-value can never correspondend to two different y-values
Need the correct answers for this. Can you help me?
Answers
The quadrilateral PQRS is a parallelogram since opposite sides PQ and SR have the same lengths and slopes.
To determine the correctness of the statements and calculate the lengths and slopes of the given quadrilateral PQRS, let's perform a coordinate proof.
Length and slope of PQ:
The coordinates of points P and Q are P(0, 2) and Q(3, -4), respectively.
Length of PQ: √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(3 - 0)² + (-4 - 2)²]
= √[9 + 36]
= √45
= 3√5 (approx.)
Slope of PQ: (y₂ - y₁) / (x₂ - x₁)
= (-4 - 2) / (3 - 0)
= -6 / 3
= -2
Therefore, the length of PQ is approximately 3√5, and its slope is -2.
Length and slope of SR:
The coordinates of points S and R are S(-2, 1) and R(1, -5), respectively.
Length of SR: √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(1 - (-2))² + (-5 - 1)²]
= √[9 + 36]
= √45
= 3√5 (approx.)
Slope of SR: (y₂ - y₁) / (x₂ - x₁)
= (-5 - 1) / (1 - (-2))
= -6 / 3
= -2
Therefore, the length of SR is approximately 3√5, and its slope is -2.
Length and slope of SP:
The coordinates of points S and P are S(-2, 1) and P(0, 2), respectively.
Length of SP: √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(0 - (-2))² + (2 - 1)²]
= √[4 + 1]
= √5
Slope of SP: (y₂ - y₁) / (x₂ - x₁)
= (2 - 1) / (0 - (-2))
= 1 / 2
Therefore, the length of SP is √5, and its slope is 1/2.
Length and slope of HQ:
The coordinates of points H and Q are H(0, 2) and Q(3, -4), respectively.
Length of HQ: √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(3 - 0)² + (-4 - 2)²]
= √[9 + 36]
= √45
= 3√5 (approx.)
Slope of HQ: (y₂ - y₁) / (x₂ - x₁)
= (-4 - 2) / (3 - 0)
= -6 / 3
= -2
Therefore, the length of HQ is approximately 3√5, and its slope is -2.
Based on the calculations, we can conclude that both statements are correct:
The quadrilateral PQRS is a parallelogram since opposite sides PQ and SR have the same lengths and slopes.
The quadrilateral PQRS is not a rectangle since the lengths of the adjacent sides PQ and SP are not equal.
Summary:
Length of PQ is approximately 3√5, and its slope is -2.
Length of SR is approximately 3√5, and its slope is -2.
Length of SP is √5, and its slope is 1/2.
Length of HQ is approximately 3√5, and its slope is -2.
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Which order is correct? 0.8. 1 2 3' 3 1. 0 -0.8, 2 1 1. 1 3 3 1 o 1 3. -0.8, 2 3 1 1 IN 1 -0.8 1
Answers
(A) just trust
ITs too good
A No solution
B One solution
C Two solutions
D Infinitely many solutions
colutions What is known about
help
Answers
—————————-
Please help me
Find product
Answers
Answer:
s^2u^2−5stu+6t^2
Step-by-step explanation:
Answer:
6t^2-5tsu+s^2u^2
Step-by-step explanation:
Weekly wages at a certain factory are
normally distributed with a mean of
$400 and a standard deviation of $50.
Find the probability that a worker
selected at random makes between
$350 and $400.
Answers
Answer:
b or a
Step-by-step explanation:
which is a stretch of an exponential decay function algebra 1
Answers
Answer:
Assuming the base number is 1, if it becomes 5 then it is stretched. If the number become 1/5(less than 1) it is called compressed.
Step-by-step explanation:
HELP IM TIME
George is comparing two different phones. The screen of phone A has a width of 5.3 cm. The width of the screen on phone B is 5 and one-third cm. Which statement explains which phone has the wider screen?
Answers
We already have phone A 5.3 cm
We just need to find phone B
First we need to find what one-third is as a decimal
Which is 0.3
Now add 0.3 to 5
0.3 + 5 = 5.3
Answer: neither phone a and Phone be 05.3 cm
Answer:
Screen B is wider, because 5 and one-third is greater than 5.3..
Step-by-step explanation:
Got it correct on edge