You just bought a car and need to expand your driveway by pouring more concrete. If the dimensions of the addition are 11ft by 6.5ft how many square feet of concrete do you need to pour?
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Related Questions
PLEASE HELP ME (it's for my math HW Verifying Inverse Functions)
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Ok done. Thank to me:>
Delta Math:
Finding Angles (Level 1) 1/5
Full explanation please
will give brainlist
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Answer:
\(m\angle FGC =101\degree \)
Step-by-step explanation:
\(m\angle CBF = 46\degree\) (Given)
\(m\angle FIG = 55\degree\) (Given)
\(m\angle IFG = m\angle CBF\) (Corresponding angles)
\(\implies m\angle IFG = 46\degree\)
\(m\angle FGC =m\angle IFG+ m\angle FIG\)
(By exterior angle theorem)
\(m\angle FGC =46\degree+ 55\degree \)
\(m\angle FGC =101\degree\)
Here
<IFG=<IBC as lines are parallelUsing the formula
sum of interiors=external
m<FGC=m<IFG+m<GIFm<FGC=55+46°m<FGC=101°Score on last try: 0.5 of 1 pts. See Details for more. Get a similar question You can retry this question below Find the absolute extrema of the function f(x, y) = 2x² + 2y² + x + y − 1 on the domain defined by x² + y² ≤ 9. Round answers to 3 decimals or more. Absolute Maximum: 21.243 Absolute Minimum: 12.757 X
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The absolute maximum value of the function f(x, y) = 2x² + 2y² + x + y - 1 on the domain x² + y² ≤ 9 is 21.243, and the absolute minimum value is 12.757.
To find the absolute extrema of the given function on the given domain, we can use the method of Lagrange multipliers. First, we define the objective function as f(x, y) = 2x² + 2y² + x + y - 1, and the constraint function as g(x, y) = x² + y² - 9.
Next, we calculate the partial derivatives of the objective function with respect to x and y, as well as the partial derivatives of the constraint function with respect to x and y. Setting up the Lagrange equations, we have:
∇f(x, y) = λ∇g(x, y)
where ∇ represents the gradient operator and λ is the Lagrange multiplier. Solving these equations simultaneously, we obtain values for x, y, and λ.
By substituting the obtained values of x and y into the objective function f(x, y), we can calculate the corresponding function values. The maximum value among these function values represents the absolute maximum, and the minimum value represents the absolute minimum on the given domain.
Rounding the results to three decimal places, we find that the absolute maximum is 21.243, and the absolute minimum is 12.757. These values indicate the highest and lowest points, respectively, that the function achieves on the given domain.
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help pls which expression is equivalent
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hopes this helps
Help me PLZ! I’ll give u brainliest!
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Answer:
Step-by-step explanation:
area of card board=(6+4+6+4)×10+2×6×4
=200+48
=248 in²
A company is replacing cables with fiber optic lines in rectangular casing bcde. if segment de = 3 cm and segment be = 3.5 cm, what is the smallest diameter of pipe that will fit the fiber optic line? round your answer to the nearest hundredth. quadrilateral bcde inscribed within circle a 3.91 cm 4.24 cm 4.61 cm 4.95 cm
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Answer:
4.61
Step-by-step explanation:
I saw another question that had 3 and 3 and that question's answer was 4.24, so i multiplied the 0.5 and got 4.61
Question 11 of 30
The sides of a square all have a side length of y. Write a simplified area function in terms of y for a rectangle whose length is 4 times the
side length of the square and whose width is 8 units longer than the side length of the square.
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Answer:
16:5
Step-by-step explanation:
Calculate the area of the minor sector in terms of pi
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The calculated area of the minor sector is 90π square cm
Calculating the area of the minor sectorFrom the question, we have the following parameters that can be used in our computation:
The circle (see attachment)
Where, we have
Minor angle, θ = 36 degreesRadius, r = 30 cmThe area of the minor sector is then calculated as
Area = θ/360 * πr²
Substitute the known values in the above equation, so, we have the following representation
Area = 36/360 * π * 30²
Evaluate
Area = 90π
Hence, the area is 90π
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How do you find the y-intercept with two ordered pairs?
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Equation employing the slope-intercept method for two points
The slope-intercept version of the equation may be used to calculate the two-point Y-intercept.
The shape of a point-slope is\(\mathbf{Y-Y_{1} = m(X-X_{1})}.\)
Steps to find the y-intercept with two ordered pairs?
Determine the slope using two points.
\(Slope = \frac{Y_{2}-Y_{1}}{X_{2}-X_{1}} = \frac{Rise}{Run} = \frac{\bigtriangleup Y}{\bigtriangleup X}\)
As an illustration, two points are (3, 5) and (6, 11)
Slope = \(\frac{Y_{2}-Y_{1}}{X_{2}-X_{1}} = \frac{11 - 5}{6 - 3} = \frac{6}{3} = 2\)
In the slope-intercept form of the equation, substitute the slope(m).
\(\\y = mx+b \\y = 2x+b\)
Either point may be substituted in the equation. You may either use (3,5) or (6,11).
\(\\y = 2x+b \\5 = 2(3)+b\)
Find the answer to the equation for b, the line's y-intercept.
\(\\5 \ \ \ = 2(3) + b \\5 \ \ \ = 6 + b \\\underline{-6\ = -6 \ \ \ \ \ \ \ } \\-1 = b\)
Substitute b, into the equation.
\(\\y = 2x + b \\y = 2x - 1\)
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Factor the following completely: 2xy² - 50x
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Remove the greatest common factor.
Both have a multiple of 2 in them
Both have a multiple of x in them
Therefore, both have a multiple of 2x in them.
Factor 2x out.
2x(y^2 -5)
Use difference of squares to factor the second term.
(2x) (y-5) (y+5) is factored form.
Hope this helps :)
Answer:
2x (y+5) (y-5)
Step-by-step explanation:
2x (\(y^{2}\)-25)
2x (y+5) (y-5)
3. The system of equations for two liquid surge tanks in series is
A₁ dh'₁/dt = q'ᵢ - 1/R₁ h'₁, q'₁ = 1/R₁ h'₁
A₂ dh'₂/dt = 1/R₁ h'₁ - 1/R₂ h'₂ q'₂ = 1/R₂ h'₂
Using state-space notation, determine the matrices A,B,C, and D assuming that the level deviations are the state variables: h'₁ and h'₂. The input variable is q'ᵢ , and the output variable is the flow rate deviation, q'₂.
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The surge tank is a vital component of a system in which the flow rate fluctuates significantly. The flow rate entering the tank varies significantly, causing the fluid level in the tank to fluctuate as a result of the compressibility of the liquid. The surge tank is utilized to reduce pressure variations generated by a rapidly fluctspace uating pump flow rate. To determine the matrices A,B,C, and D using state-space notation, here are the steps:State representation is given by:dx/dt = Ax + Bu; y = Cx + DuWhere: x represents the state variablesA represents the state matrixB represents the input matrixC represents the output matrixD represents the direct transmission matrixThe equation can be written asA = [ -1/R₁ 0; 1/R₁ -1/R₂]B = [1/A₁; 0]C = [0 1/R₂]D = 0Thus, the matrices A,B,C and D assuming that the level deviations are the state variables: h'₁ and h'₂. The input variable is q'ᵢ, and the output variable is the flow rate deviation, q'₂ are given by A = [ -1/R₁ 0; 1/R₁ -1/R₂]B = [1/A₁; 0]C = [0 1/R₂]D = 0.Hence, the required matrices are A = [ -1/R₁ 0; 1/R₁ -1/R₂], B = [1/A₁; 0], C = [0 1/R₂], and D = 0 using state-space notation for the given system of equations for two liquid surge tanks.
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Drag and drop the answer into the box to identify each function as linear, exponential, or neither.
(x) 2 3 4
F(x) 5.5 7 8.5
(x) 0 2 4
F(x) 2 5 9
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The first function is a linear function while the second function is neither a linear nor exponential
How to identify whether a function is linear, exponential, or neither?
A linear function is of the form f(x) = mx + c,
where m is the slope (or rate of change) and y-intercept
m = y2-y1 / x2-x1
An exponential function is of the form f(x) = abˣ
where a and b are constants
In a linear function, the slope must be constant. Also, in exponential function a and b must be constants
Given:
(x) 2 3 4
F(x) 5.5 7 8.5
For x = 2 and 3:
slope = 7-5.5 / 3-2 = 1.5
For x = 3 and 4:
slope = 8.5-7 / 4-3 = 1.5
The slope is the same, thus, it is a linear function
Note: f(x) = y
(x) 0 2 4
F(x) 2 5 9
This is not linear, check for exponential
y = abˣ
when x = 0, y =2
2 = ab⁰
a = 2
when x =2, y = 5
5 = 2b²
b² = 5/2
b = √(5/2)
when x =4, y = 9
9 = 2b⁴
b⁴ = 9/2
b = \(\sqrt[4]{(9/2)}\)
Since the b are not the same. Thus, this is an exponential function also
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Which function represents the following graph?
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Answer:
y = ∛(x+3) + 3
Step-by-step explanation:
I plugged each equation into a graphing calculator.
A student's work to simplify a radical is shown below. Select the statement which best applies to the sample
mathematical work.
13
6
= X
= X
Thus,
A. The equality /13 x? is incorrect or invalid.
B. Removing the x from under the radical in the second step is incorrect or invalid.
C. The work shown above is correct, however, V7 may be simplified further.
D. The work shown above is correct, and
xVx? may not be simplified further.
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How to find a quadratic equation with y-intercept and vertex? Explain with examples.
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To find a quadratic equation with the y-intercept and vertex, follow these steps: identify the coordinates of the y-intercept and vertex, substitute them into the general form of the quadratic equation, solve for the coefficients, and substitute the coefficients back into the equation. For example, if the y-intercept is (0, 3) and the vertex is (-2, 1), the quadratic equation would be y = x^2 + x + 3.
To find a quadratic equation with the y-intercept and vertex, we can follow these steps:
Step 1: Identify the coordinates of the y-intercept. The y-intercept has the form (0, c), where c is the y-coordinate.Step 2: Identify the coordinates of the vertex. The vertex has the form (-b/2a, f(-b/2a)), where a, b, and c are the coefficients of the quadratic equation.Step 3: Substitute the coordinates of the y-intercept and vertex into the general form of the quadratic equation, y = ax^2 + bx + c.Step 4: Solve the resulting system of equations to find the values of a, b, and c.Step 5: Substitute the values of a, b, and c back into the general form of the quadratic equation to obtain the final equation.For example, let's say the y-intercept is (0, 3) and the vertex is (-2, 1). We can substitute these coordinates into the general form of the quadratic equation:
3 = a(0)^2 + b(0) + c
1 = a(-2)^2 + b(-2) + c
Simplifying these equations, we get:
c = 3
4a - 2b + c = 1
By substituting c = 3 into the second equation, we can solve for a and b:
4a - 2b + 3 = 1
4a - 2b = -2
2a - b = -1
By solving this system of equations, we find a = 1 and b = 1. Substituting these values back into the general form of the quadratic equation, we obtain the final equation:
y = x^2 + x + 3
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To find a quadratic equation with a given y-intercept and vertex, you need the coordinates of the vertex and one additional point on the curve.
Start with the standard form of a quadratic equation: y = ax^2 + bx + c, where a, b, and c are constants.Use the vertex form of a quadratic equation: y = a(x - h)^2 + k, where (h, k) represents the coordinates of the vertex.Substitute the vertex coordinates (h, k) into the equation to obtain the equation in vertex form.Use the y-intercept to find another point on the curve. The y-intercept has the form (0, c), where c is the value of y when x is zero.Substitute the coordinates of the additional point into the equation to obtain a system of two equations. Solve the system to find the values of a, b, and c.Substitute the determined values of a, b, and c into the standard form of the quadratic equation to obtain the final equation.Example:
Suppose we want to find a quadratic equation with a y-intercept of (0, 4) and a vertex at (2, -1).
Using the vertex form, we have y = a(x - 2)^2 - 1.Substituting the y-intercept coordinates, we get 4 = a(0 - 2)^2 - 1, which simplifies to 4 = 4a - 1.Solving the equation above, we find a = 1.Substituting the values of a and the vertex coordinates into the vertex form equation, we have y = 1(x - 2)^2 - 1.Expanding the equation and simplifying, we get y = x^2 - 4x + 3.The final quadratic equation with the given y-intercept and vertex is y = x^2 - 4x + 3.To find a quadratic equation with a given y-intercept and vertex, you can use the vertex form of a quadratic equation and substitute the coordinates to obtain the equation. Then, use the y-intercept to find an additional point on the curve and solve a system of equations to determine the coefficients. Finally, substitute the coefficients into the standard form of the quadratic equation to get the final equation.
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An equiangular triangle has one side of length six inches. What is the height of the triangle, drawn from that side, to the nearest tenth of an inch?
height = ------------- in.
Answers
Answer:
5.2
Step-by-step explanation:
Construct an altitude. Using the Pythagorean theorem, the height is \(\sqrt{6^2-3^2} \approx 5.2\)
Question 6
Eric is baking a cake. The recipe calls for
or 2 1/2 pounds of flour for every 1/4 cup of sugar. How many pounds of flour should Eric use for 1 cup of sugar?
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Answer:
10 lbs.
Step-by-step explanation:
If its 2.5 pounds of flour for every .25 cup of sugar
do
1/(1/4)
to get 4 and then do
4 * 2.5
Find the 8th term of the geometric sequence 4,-12,36
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The 8th term of the geometric sequence \(4,-12, 36\) is \(-8748\).
How to find the 8th term of the geometric sequence?We must find common ratio by dividing the term by its preceding term. By dividing second term (-12) by the first term (4), this gives us:
= -12 / 4
= -3
So, the common ratio is -3.
The formula for the nth term of geometric sequence to find the 8th term is : an = a1 * r^(n-1) where an = nth term, a1 = first term, r = common ratio and n = term number
a8 = 4 * (-3)^(8-1)
a8 = 4 * (-3)^7
a8 = 4 * (-2187)
a8 = -8748.
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24 divided by the product of 6 and 2
Answers
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
The product of 6 and 2 is twelve and if you divide 24 by 12 the answer is 2
or
6 x 2 = 12
24 ÷ 12 = 2
answer: 2
Which graph is an example of a cubic function?
On a coordinate plane, a parabola is shown.
On a coordinate plane, a curve approaches x = negative 2 in quadrant 3, increases to a put of inflection at (0, 1), and then increases again and approaches x = 2.
On a coordinate plane, a straight line has a positive slope.
On a coordinate plane, a function has a line with positive slope that intersects with a line with a negative slope.
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The graph that is an example of a cubic function is the one that approaches x = negative 2 in quadrant 3, increases to a point of inflection at (0, 1), and then increases again and approaches x = 2.
A polynomial function is what?A polynomial function is a mathematical function that may be written as a sum of terms, where each term is made up of a variable raised to a non-negative integer power multiplied by a constant coefficient. The degree of the polynomial is the largest power of the variable in the function.
The graph that is an example of a cubic function is the one that approaches x = negative 2 in quadrant 3, increases to a point of inflection at (0, 1), and then increases again and approaches x = 2. This is because a cubic function is a polynomial function of degree three
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can someone help me with this
Answers
Answer:
A
Step-by-step explanation:
1/2r +1/2= -2/7r -29/7 Subtracting 1/2 from both sides
1/2r +1/2 - 1/2= -2/7r -29/7- 1/2
1/2r = -2/7r - 29(2)-7/14
1/2r = -2/7r -65/14
determine whether each relation is a function. State the domain and range of the relation. (-1,2)(1,-2)(3,-4)(-3,4)
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Answer:
Domain is the x and the range is the y, that being said, 1) domain: 1,3,5 range: 2,4,6
2) you need to solve for x then plug x in and solve for y when solving for x you can plug in a number like 1
3) same circumstance as number 2!
Hope this helped!
Step-by-step explanation:
What would be the solution to the system of equations: y= -x + 4 y= 3x
Answers
Answer:
Step-by-step explanation:
The value of y is given in equation 2
Putting value of y = 3x in equation 1
Y = - x + 4
3x = - x + 4
Bringing like terms on one side
3x + x = 4
4x = 4
x = 4/4 = 1
Now putting value of x = 1 in equation 2
Y = 3x
Y = 3(1) = 3
Please help.
Algebra.
Answers
Question 2: B, C, and D
The graph represents function 1 and the equation represents function 2:
Function 1
Function 2
y = 2x + 1
How much more is the rate of change of function 2 than the rate of change of function 1?
1
2
3
4
Answers
Answer:
2
Step-by-step explanation:
rate of change of Function 2 is 2
rate of change of Function 1 is 0
2 - 0 = 2
What is the value of y in the diagram?
y
x
X-20
Answers
Answer:
x+x-20 = 180-90
2x-20 = 90
2x. =90+20
2x. =110
x. =55
y+55. =90
y. =90-55
y. =35
The line y = - 6x + b, where b is the y-intercept is graphed in the coordinate plane. If the line contains point (r, t)where neither r nor t is zero, what is the y-intercept in terms of r and t?
Answers
Answer:
TO HERE
Step-by-step explanaYOUNtion:
FROM U
Triangle ABC with vertices A(4, −6), B(2, −8), and C(−10, 4) is dilated by a scale factor of 2 to obtain triangle A′B′C′. Which statement best describes triangle A′B′C′? (5 points) Group of answer choices
It is congruent to triangle ABC and has coordinates A′(8, −12), B′(4, −16), and C′(−20, 8).
It is congruent to triangle ABC and has coordinates A′(2, −3), B′(1, −4), and C′(−5, 2).
It is similar to triangle ABC and has coordinates A′(8, −12), B′(4, −16), and C′(−20, 8).
It is similar to triangle ABC and has coordinates A′(2, −3), B′(1, −4), and C′(−5, 2).
Answers
Answer:
I believe it is A I may be wrong
It is similar to Triangle ABC and has coordinate A'(8, -12), B'(4, -16), and C' (-20, 8).
Since its getting dilated by 2 it will be getting bigger
The original price of a DVD is $12. The sale price is 75% off the original price. Find the sale price of the DVD.
Answers
Answer:
9 lol
Step-by-step explanation:
comming from a highscholer its 12% of 12 =9
hope this helps
If x < 5, then which of the following must be true?
Answers
Answer:what are the options
Step-by-step explanation:
A
B
C
D
Answer:
You have to put the following lol Give me the options and I'll answer
Step-by-step explanation: