Answer:
The simplified form of the given expression is [tex]1.17-3.99a[/tex].
Step-by-step explanation:
The given expression is
[tex]1.17-0.07a+(-3.92a)[/tex]
The given expression can be written as
[tex]1.17-0.07a-3.92a[/tex]
Now, combine the like terms.
[tex]1.17+(-0.07a-3.92a)[/tex]
[tex]1.17+(-3.99a)[/tex]
[tex]1.17-3.99a[/tex]
Therefore the simplified form of the given expression is [tex]1.17-3.99a[/tex].
Find the average value of f over region
d. f(x, y) = 4x sin(y), d is enclosed by the curves y = 0, y = x2, and x = 7.
The question involves finding the average value of function f(x, y) = 4x sin(y) over a particular region. This is done using a double integral to integrate the function over the region and divide by the area of that region. The area of the region is determined using the given boundaries.
Explanation:The subject of this question is calculus, specifically dealing with a double integral to find the average value of a function over the specified region. The given function is f(x, y) = 4x sin(y), and the region d is enclosed by the curves y = 0, y = x^2, and x = 7.
To find the average value of function f over the region d, you should use the formula for the average value of a function of two variables. This is given by: Avg = (1/Area(D)) ∫∫_D f(x, y) dA
Before we can use this formula, we need to find the area of region D. This can be obtained as a simple integral from the given boundaries: Area(D) = ∫ from 0 to 7 dx ∫ from 0 to x^2 dy = ∫ from 0 to 7 x^2 dx = [x^3/3]_0^7 = 343/3
We can then proceed with the double integration by applying the appropriate limits. This is a more complex process that requires substitutions and careful calculation. After evaluating the average value, you should get a numerical solution.
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To find the average value of a function over a region, calculate the double integral of the function over that region and divide it by the area of the region.
Explanation:To find the average value of a function over a region, we need to calculate the double integral of the function over that region and then divide it by the area of the region. In this case, the region d is enclosed by the curves y = 0, y = x-2, and x = 7. We can set up the integral as follows:
So, the average value of f over region d is 1.12.
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what is the quotient of 5/6 divided by 3/4
1 1/9 is the answer
I know this because I just had to do the same problem and that was the answer
A city has 7204 recycle bins. The city gives half of the recycle bins to it's citizens. The rest of the recycle bins are divided into 23 equal groups for city parks. How many recycle bins are left over?
How do you verify that a hexagon formed by A=(0,0), B=(2,1), C=(3,3), D=(2,5), E=(0,4) and F=(-1,2) is equiangular? (I already know that it is equilateral)
To verify that the hexagon is equiangular, calculate the slopes and angles of all sides using the coordinates of the vertices.
Explanation:To verify that a hexagon is equiangular, we need to show that all interior angles of the hexagon are congruent. We can calculate the angles using the coordinates of the vertices A, B, C, D, E, and F.
Calculate the slope of each side of the hexagon. For example, for side AB with points A(0,0) and B(2,1), the slope is (1-0)/(2-0) = 1/2.Use the slope to find the angle using the formula arctan(slope). For side AB, the angle is arctan(1/2) = 26.57 degrees.Repeat steps 1 and 2 for all sides of the hexagon.If all six angles are equal, then the hexagon is equiangular.Learn more about Equiangular Hexagon here:https://brainly.com/question/31803879
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Solve the equation. 4p + 25 = 6(p – 3) – 3(4 – 3p)
Simplify. y^-3 pls help me i need this very bad
(a) A certain solution has a hydrogen ion concentration of 0.00000914 moles per liter. Write this number in scientific notation.
(b) A humpback whale can weigh up to ×1.1105 pounds. Write this number in standard notation.
The hydrogen ion concentration can be written in scientific notation as 9.14 x 10-6 M. The weight of a humpback whale can be written in standard notation as 11,105 pounds.
Explanation:(a) The given hydrogen ion concentration of 0.00000914 moles per liter can be written in scientific notation as 9.14 x 10-6 M. To convert the number to scientific notation, we move the decimal point to the left until there is one non-zero digit to the left of the decimal point and multiply by the corresponding power of 10.
(b) The weight of a humpback whale, which is given as ×1.1105 pounds, can be written in standard notation as 11,105 pounds. To convert from scientific notation to standard notation, we move the decimal point to the right or left by the power of 10 indicated by the exponent.
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How do I solve a quadratic equation using the Quadratic Formula?
The table below represents the displacement of a bird from its nest as a function of time:
Time
(hours)
x Displacement
from nest
(miles)
y
0 12
1 20
2 28
3 36
4 44
Part A: What is the y-intercept of the function, and what does this tell you about the bird? (4 points)
Part B: Calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. (4 points)
Part C: What would be the domain of the function if the bird continued to fly at this rate until it traveled 172 miles from the nest? (2 points)
Please Help Fast!!!!
help??
Look at the following numbers:
–6, 0, 6, 12
Which pair of numbers has a sum of 0?
6, 12
0, 6
–6, 0
6, –6
What happens when you multiply a fraction by its reciprocal?
Given the following functions f(x) and g(x), describe the changes (horizontal shifts, vertical shifts, etc.) to the graph of g(x) with respect to the graph of f(x).
f ( x ) = | x | g ( x ) = - | x + 3 | -2
Help please usatestprep
Answer:
the answer is C
Step-by-step explanation:
How do you write 180% as a fraction or mixed number in simplest form?
To write 180% as a fraction or mixed number in simplest form, convert the percent to a fraction with a denominator of 100 and simplify the fraction. The simplified fraction is 9/5 or the mixed number is 1 and 4/5.
Explanation:To convert a percent to a fraction or mixed number in simplest form, we need to write the percent as a fraction with a denominator of 100 and then simplify it. In this case, 180% can be written as 180/100. To simplify, we divide both the numerator and denominator by their greatest common divisor, which is 20. So, the simplified fraction is 9/5. This fraction can also be expressed as a mixed number by dividing the numerator by the denominator. Since 9 is greater than 5, the mixed number is 1 and 4/5.
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Will give brainliest if correct.
what transformation has changed the parent function f(x) =log3x to its new appearance shown in the graph below
Answer:
"f(x) + 2" You were correct
Describe the end behavior of the function:
y = x3 + 3x2 - 2x + 4
a)left - rises, right - falls
b)left - rises, right - rises
c)left - falls, right - falls
d)left - falls, right - rises
According to the rules of significant figures:
1 • 225 = 200
A. True
B. False
What is the equation of a line that is parallel to −x+3y=6 and passes through the point (3, 5) ?
Given that f(a+b)= f(a) + f(b) and f(x) is always positive, what os the value of f(0)?
Absolute Value equations always have 2 answers.
True
False
Read the following conjecture.
Any number that is divisible by 2 is also divisible by 8.
Find a counterexample to show that the conjecture is false
A: 16
B: 24
C: 28
D: 32
16/2 =8, 16/8 = 2
24/2 = 12, 24/8 = 3
28/2 = 14, 28/8 = 3.5
32/2 = 16, 32/8 = 4
28 isn't divisible by 8
Answer is C
round 999.999 to the nearest tenth
Write down five number pairs that are solutions to ab = 95 ab=95. (note that you can use negative numbers and fractions.)
Simplify 7x + 7 + 6x - 9.
13x - 2
13x + 2
11x
Answer:
x = -2/13
Step-by-step explanation:
This is a first degree polynomial. To solve it, you need to follow these steps:
Step 1: Equate the polynomial to zero
7x + 7 + 6x - 9 = 0
Step 2: Separate all numbers that have variable "x" on one side of equality and real numbers on the other side
7x + 6x + 7-9
Note: Remember that if you are going to pass a number from side to side the equality is reversed.
Step 3: Add Both Sides
13x = -2
Step 4: Isolate the "x" Variable
x = -2/13
In the xy-plane, if the parabola wiry equation y=ax^2+bx+c, where a, b, and c are constants, passes through the point (-1,1), which of the following must be true?
A) a-b=1
B) -b+c=1
C) a+b+c=1
D) a-b+c=1
Please help ;(
The correct option will be "option D".
It is given that in the x-y plane, parabola with equation y=ax² + bx + c , passes through point (-1,1).
We have to check which equation is most suitable.
What is parabola ?
The graph of a quadratic equation in two variables (y=ax² + bx + c) is called a parabola.
Parabola has the equation ,
y = ax² + bx + c --------- Equation (1)
At point (−1, 1)
x = -1 and y = 1
Substitute the values of x and y in the equation (1).
i.e., y = ax² + bx + c
1 = a × (-1)² + b× (-1) + c
1 = a × (1) - b + c
1 = a - b + c
Thus, in x-y plane at point (1,-1) , equation will be , a - b + c = 1.
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I really need help with these questions. What will these word problems look like?
A. The perimeter, P, of a rectangle is the sum of twice the length and twice the width.
1. P = 2(l+w) units
2. P = 2(5)+2(9) units
3. P = 4x units
4. P = (l+l)+(w+w) units
5. P = 2(x+3) units
B. The area, A, of a triangle is one-half the product of the triangle's base and height.
1. A = 1/2 (b+h)
2. A = 1/2(12)(5)
3. A = 1/2(b*h)
4. A = (x + y)/2
5. A = x^2/2
There is more than one answer to each problem. I will award brainliest answer, I really could use some help with this.
If 4 grams of water vapor are present in a cubic meter of air that can hold a maximum of 10 grams, the ________________ is 40 percent.If
Given that h(x) = 3x −19, find the value of x that makes h(x) = 71. (5 points)
30
43
52
194
I'm not quite sure about this one. Can someone help? -Concept: Logs-