Given the expression :
\(25+4a=\frac{-6}{9}\)Solve the equation to find a :
Subtract 25 from both sides
\(\begin{gathered} 25+4a-25=-\frac{6}{9}-25 \\ \\ 4a=-25\frac{6}{9}=-\frac{77}{3} \\ \\ a=-\frac{77}{4\cdot3}=-\frac{77}{12} \end{gathered}\)So, the answer is : -77/12
The equation m=3b represents the times in minutes (m) it takes a chef to cook a certain number of bacon cheeseburgers (b) A: 3 B: 6 C:1/3 D: 1
For the given equation:
m = 3b
The constant of proportionality is 3, so the correct option is A.
How to determine the constant of proportionality?
After a small search on the internet, I've found that this question asks for the constant of proportionality.
Remember that a proportional relation is of the form:
y = k*x
Where k is the constant of proportionality, and x and y are the variables.
Here the relation is:
m = 3*b
Where m and b are the variables, then the remaining coefficient is the constant of proportionality, which is 3.
In this way, we can see that the correct option is A.
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A system of equations is given.
Equation 1: 4x − 6y = 10
Equation 2: 9x + 2y = 7
Explain how to eliminate x in the system of equations.
Step-by-step explanation:
To eliminate x in the system of equations:
1. Multiply Equation 1 by 9 and multiply Equation 2 by -4, this gives:
Equation 1: 36x -54y = 90
Equation 2: -36x - 8y = -28
2. Add the two equations together to eliminate x:
(36x - 54y) + (-36x - 8y) = 90 - 28
Simplifying, we get:
-62y = 62
3. Solve for y:
y = -1
4. Substitute y = -1 into one of the original equations, say Equation 1:
4x - 6(-1) = 10
Simplifying, we get:
4x + 6 = 10
5. Solve for x:
4x = 4
x = 1
Therefore, the solution to the system of equations is x = 1 and y = -1. We can check that these values are correct by substituting them back into the original equations and verifying that they satisfy both equations.
An airplane begins its descent at 1 1/2 miles above the ground. After 15 minutes, the airplane is mile above the ground. Find the change in height of the airplane. If the airplane continues to descend at this rate, how long does the entire descent last?
Answer:
45 minutes
Step-by-step explanation:
If its 1 mile above the ground in 15 min from 1 ½, that means it descended ½ mile in 15 min, and if you multiply ½*3, you get 1 ½ miles, so multiply 15 minute * 3 and it would take 45 minutes for the entire descent to last
The entire descent lasts for 7.5 minutes, when it begins its descent at 1 1/2 miles above the ground.
Let's break this problem into two parts:
1. Find the change in height of the airplane.
2. Determine how long the entire descent lasts.
Part 1: Find the change in height
The airplane begins its descent at 1 1/2 miles above the ground, which is equivalent to 1.5 miles.
After 15 minutes, it is 1 mile above the ground.
To find the change in height, subtract the final altitude from the initial altitude:
Change in Height = Initial Altitude - Final Altitude
= 1.5 miles - 1 mile
= 0.5 miles
So, the change in height of the airplane is 0.5 miles.
Part 2: Determine how long the entire descent lasts
As, the airplane descends 0.5 miles in 15 minutes.
Set up a proportion:
(0.5 miles / 15 minutes) = (Total Descent / Total Time)
Now, solve for Total Time:
Total Time = (0.5 miles * 15 minutes) / 0.5 miles
Total Time = 7.5 minutes
So, the entire descent lasts for 7.5 minutes.
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The Reeds are moving across the country. Mr. Reed leaves 4.5 hours before Mrs. Reed. If he averages 40mph and she averages 60mph, how many hours will it take Mrs. Reed to catch up to Mr. Reed?
Answer:
Mr. Reed DATA:
rate = 40 mph ; time = x hrs ; distance = 40x miles
-----
Mrs. Reed DATA:
rate = 60 mph ; time = x - 3.5 hrs ; distance = 60x - 210 miles
Equation:
40x = 60x -210
-20x = -210
x = 10.5 hrs
x-3.5 = 7 hrs (Mr. Reed's time)
Step-by-step explanation:
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Kim bought her Supreme shoes for $52 on eBay. She marks up the shoes to resell on GOAT for 120% of the price.
a) What is the amount of markup? $
b) What is the price of the shoes after markup? $
Answer:
a) $10.4
b) $62.4
Step-by-step explanation:
a) What is the amount of markup? $
$52 - 100%
$X - 120%
100X = 52*120
100X = 6240
X = 6240/100
X = $62.4
62.4-52=
$10.4
b) What is the price of the shoes after markup? $
$62.4
Find the slope of the line.
please help
will mark brainlyest
Answer:
m = 1
Step-by-step explanation:
slope = (y₂-y₁)/(x₂-x₁)
m = (4 - -1) / 1 - -4) = 5/5 = 1
How many pounds of $1.75/lb trail mix should a grocer combine with 3lb of $3.75/lb trail mix to get a $2.95/lb trail mix?
Answer:
1.847
Step-by-step explanation:
divide 2.45 and 1.75 dats ur ans
Solve for y
-4(y + 5) +-18--10
HELP PLEASE
What is (are) the x intercept(s) of the function graphed above?
-4
-14 and 4.5
-5,1, and 4
-4, -1 and 5
Answer:
-4, -1, and 5
Step-by-step explanation:
1. The x-intercepts of a function is where the function intersects with the x-axis.
2. Given the information above, we can see that the function intersects the x-axis at (-4,0), (-1,0), and (5,0).
This means that the x-intercepts are -4, -1, and 5.Φ1 = ∬S1 (-2u^6cos(v) - 2u^3sin(v)) du dv
= ∫(0->1) ∫(0->2π) (-2u^6cos(v) - 2u^3sin(v)) dv du
\(\begin{align}\sf\:\Phi_1 &= \iint_{S_1} (-2u^6\cos(v) - 2u^3\sin(v)) \, du \, dv \\ &= \int_{0}^{1} \int_{0}^{2\pi} (-2u^6\cos(v) - 2u^3\sin(v)) \, dv \, du \end{align} \\\)
Do you agree or disagree with the following statement: "A rise of -7°C" means "a fall of 7°C"? Explain. (Note: No one would ever say, "A rise of -7 degrees", however, mathematically speaking, it is an equivalent phrase.)
I agree with the statement
A fall of a certain amount is equivalent to a rise in the negative value of that amount.
A rise of -7°C means a fall of 7°C
Help, due soon need help immediately.
What is the image of (3,-4)(3,−4) after a reflection over the y-axis?
Answer:
(- 3, - 4 )
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
(3, - 4 ) → (- 3, - 4 )
Give the slope between the points
(-2,4) (-8, 13)
Answer
Answer:
9/-6
Step-by-step explanation:
when you subtract (x2-x1) and (y2-y1) this is the answer you get.
\(-\frac{3}{2}\)
Step-by-step explanation:Use the point slope formula
\(Slope = m = \frac{y_2-y_1}{x_2-x_1} = \frac{13-4}{-2-(-8)} = \frac{9}{6} = \frac{9}{6} = \frac{3}{2}\)
This is the difference between two points with the rise (change in y) over the run (change in x)
Sorry it took so long for so little my girlfriend was distracting me
Hope this helps :)
What are the values of x, y, and z in this system of equations?
2x+4y+z=1
x-2y-3z=2
x+y-z=-1
Answer:
{x,y,z}={5,−3,3}
Step-by-step explanation:
[1] 2x + 4y + z = 1
[2] x - 2y - 3z = 2
[3] x + y - z = -1
// Solve equation [3] for the variable y
[3] y = -x + z - 1
// Plug this in for variable y in equation [1]
[1] 2x + 4•(-x +z -1) + z = 1
[1] -2x + 5z = 5
// Plug this in for variable y in equation [2]
[2] x - 2•(-x +z -1) - 3z = 2
[2] 3x - 5z = 0
// Solve equation [2] for the variable x
[2] 3x = 5z
[2] x = 5z/3
// Plug this in for variable x in equation [1]
[1] -2•(5z/3) + 5z = 5
[1] 5z/3 = 5
[1] 5z = 15
// Solve equation [1] for the variable z
[1] 5z = 15
[1] z = 3
// By now we know this much :
x = 5z/3
y = -x+z-1
z = 3
// Use the z value to solve for x
x = (5/3)(3) = 5
// Use the x and z values to solve for y
y = -(5)+(3)-1 = -3
Solution :
{x,y,z} = {5,-3,3}
5 x 50 =
Multiply by multiples of 10
Answer:
250
Step-by-step explanation:
i aint never seen two pretty best friends its always one of em gotta be ugly
Answer:
250
Step-by-step explanation:
hope it helped you !
Which expression is represented by the model shown below?
brit of beau ad noo noiz
Srodeq nislame
Answer:
4*9
Step-by-step explanation:
It's obvious.
8/5 ÷ 3/5 = ??????????
Answer:
Step-by-step explanation:
8/3
There are 50 animals in a shelter. Three hundred vehicles are parked in a parking garage. Seventy of the vehicles are midsized cars. Which equation can be use to find the number of midsized cars in the parking garage?
Answer:
230
Step-by-step explanation:
300 - 70 = 270 boom
Which equation correctly uses the value of x to
represent the cosine of angle A?
O cos(53⁰) =
O cos(53⁰) =
O cos(53⁰) =
O cos (53⁰) = 5
PLEASE HELP
Answer: y/5
Step-by-step explanation:
5 is the hypotenuse of the triangle and it always goes at the bottom of the fraction. Cosine is the closest two sides to the angle. Giving the answer y/5
Step-by-step explanation:
For RIGHT triangles ( such as this one) , remember S-O-H-C-A-H-T-O-A .
SinΦ = Opposite LEG / Hypotenuse
Sin (53) = 4/x
dentify the reference angle for each given angle, . degrees. degrees. degrees. degrees.
Answer:
S, Z, F
Step-by-step explanation:
i know its not the question but its for anyone who found this and needs it for edge lol
(a) Show that if λ is an eigenvalue of A, then λ is an eigenvalue of \(A^{T}\). Show with an example that the eigenvectors of A and \(A^{T}\) are not the same.
(b) Show that if λ is an eigenvalue of A, and A is invertible, then λ^-1 is an eigenvalue of A^-1.
If λ is an eigenvalue of A, then λ is an eigenvalue of \(A^T\). Show with an example that the eigenvectors of A and \(A^T\) are not the same.
What are eigenvalues and eigenvectors?The equation Av = λv, where v is a non-zero vector, is satisfied by an eigenvector v and an eigenvalue given a square matrix A. In other words, the eigenvector v is multiplied by the matrix A to produce a scalar multiple of v. Due to their role in illuminating the behaviour of linear transformations and differential equation systems, eigenvectors play a crucial role in many branches of mathematics and science. When the eigenvector v is multiplied by A, the eigenvalue indicates how much it is scaled.
The eigenvalue and eigenvector states that, let v be a non-zero eigenvector of A corresponding to the eigenvalue λ.
Then, we have:
Av = λv
Taking transpose on both sides we have:
\(v^T A^T = \lambda v^T\)
The above equations thus relates transpose of vector and transpose of A to λ.
Now, consider a matrix:
\(\left[\begin{array}{cc}1&2\\3&4\\\end{array}\right]\)
Now, the eigen values of this matrix are λ1 = -0.37 and λ2 = 5.37.
The eigenvectors are:
\(v1 = [-0.8246, 0.5658]^T\\v2 = [-0.4159, -0.9094]^T\)
Now, for transpose of A:
\(A^T=\left[\begin{array}{cc}1&3\\2&4\\\end{array}\right]\)
The eigen vectors are:
\(u1 = [-0.7071, -0.7071]^T\\u2 = [0.8944, -0.4472]^T\)
Hence, we see that, if λ is an eigenvalue of A, then λ is an eigenvalue of \(A^T\). Show with an example that the eigenvectors of A and \(A^T\) are not the same.
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Same items have same prices.
Different items have different prices.
1. How much is a helmet?
2. How much is a bell?
3.How much is a lock?
4. Explain how you figured out the prices.
Answer:
Helmet = 29, Bell = 10, Lock = 24
Exercise 5.2.2 Let {x, y, z, w} be an independent set in R". Which of the following sets is independent? Support your answer. a. {x - y, y-z, z-x} b. {x+y, y+z, z+x} c. {x- y, y-z, z-w, w-x} d. {x+y, y+z, z+w, w+x}
(a) The set {x - y, y-z, z-x} is not independent because we have: (x - y) + (y - z) + (z - x) = 0 So, we have a nontrivial linear combination of these vectors that equals the zero vector. Therefore, the set is dependent.
(b) The set {x+y, y+z, z+x} is not independent because we have: (x+y) + (y+z) + (z+x) = 2(x+y+z) So, we have a nontrivial linear combination of these vectors that is a scalar multiple of (x+y+z). Therefore, the set is dependent.
(c) The set {x- y, y-z, z-w, w-x} is not independent because we have: (x - y) + (y - z) + (z - w) + (w - x) = 0 So, we have a nontrivial linear combination of these vectors that equals the zero vector. Therefore, the set is dependent.
(d) The set {x+y, y+z, z+w, w+x} is independent. To show this, suppose we have a linear combination of these vectors equal to the zero vector: a(x+y) + b(y+z) + c(z+w) + d(w+x) = 0
Expanding and collecting terms, we get: (a+d)x + (a+b)y + (b+c)z + (c+d)w = 0 Since {x, y, z, w} is independent, we must have:
a+d = 0
a+b = 0
b+c = 0
c+d = 0
Solving these equations, we get a=b=c=d=0, which shows that the only linear combination of {x+y, y+z, z+w, w+x} that equals the zero vector is the trivial one. Therefore, the set is independent. In summary, the set {x+y, y+z, z+w, w+x} is the only one among the given sets that is independent.
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Please help me with this ! Find x
each function
f(x)=-4x-5;
ion for
Find ƒ(1)
for the given
When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.
The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.
Replacing x with 1, we have:
ƒ(1) = -4(1) - 5
Simplifying further:
ƒ(1) = -4 - 5
ƒ(1) = -9
Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.
Let's break down the steps taken to arrive at the solution:
1. Start with the function f(x) = -4x - 5.
2. Replace x with 1 in the function.
3. Evaluate the expression by performing the necessary operations.
4. Simplify the expression to obtain the final result.
In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.
It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.
Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.
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Consider the following graph: What is the average slope/rate of change between (0, 1) and (2, 4)? 2/3 What is the average slope/rate of change between (-2, 1/4) and (-1, 1/2)? -1/4 Is the slope/rate of change constant (not changing/the same)? No Is the function linear? No
a) The average slope or rate of change between (0, 1) and (2, 4) is 3/2.
b) The average slope or rate of change between (-2, 1/4) and (-1, 1/2) is 1/4.
c) The slope or rate of change is not constant between these two pairs of points, since the average slopes are different.
d) The function connecting these pairs of points is not a linear function.
Define a slope?A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.
Any two different points on a line can be used to calculate the slope of any line. The ratio of "vertical change" to "horizontal change" between two different locations on a line is calculated using the slope of a line formula.
The average slope or rate of change between two points (x1, y1) and (x2, y2) on a line is given by:
average slope = (y2 - y1) / (x2 - x1)
For the points (0, 1) and (2, 4), the average slope is:
average slope = (4 - 1) / (2 - 0) = 3/2
For the points (-2, 1/4) and (-1, 1/2), the average slope is:
average slope = (1/2 - 1/4) / (-1 - (-2)) = 1/4
When the average slopes of these two pairs of points differ, the slope or rate of change is not constant. As a result, the function connecting these point pairs is not linear.
Because a linear function has a constant slope, a function with a variable slope cannot be linear.
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Trevor used about half of a 5-lb bag of potatoes (2 lb 6 oz). How much did the remaining potatoes weigh?
Answer:
Step-by-step explanation:
f Trevor used 2 lb 6 oz of a 5-lb bag of potatoes, then the weight of the remaining potatoes is:
5 lb = 80 oz (since 1 lb = 16 oz)
Remaining potatoes = Total potatoes - Used potatoes
Remaining potatoes = 80 oz - 2 lb 6 oz
Remaining potatoes = 80 oz - (2 × 16 oz + 6 oz)
Remaining potatoes = 80 oz - 38 oz
Remaining potatoes = 42 oz
Therefore, the remaining potatoes weighed 2 lb 10 oz (or 42 oz).
which product is greater than 1/2
5/2x1/2
3/3x1/2
2/3x1/2
4/5x1/2
A number, x , rounded to 1 decimal place is 3.7
Write down the error interval for x
The error interval for x is 3.65,3.74.
Given that,
The number rounded to one decimal place is 3.7.Now based on the above information, the number should be more than or equivalent to 5 at the n+1 place
Like 3.65, 3.66, 3.67, 3.68 till 3.74Based on the above information, we can conclude that the error interval for x is 3.65,3.74.
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