To evaluate the integral by interpreting it in terms of areas, we can break it down into two parts: the integral from 0 to 4 of 36 - x^2, and the integral from 0 to -6 of 36 - x^2. This represents the area between the curve and the x-axis.
Explanation:To evaluate the integral by interpreting it in terms of areas, we can break it down into two parts: the integral from 0 to 4 of 36 - x^2, and the integral from 0 to -6 of 36 - x^2. Since the function is given as 36 - x^2, it represents the area between the curve and the x-axis. The integral from 0 to 4 represents the area between the curve and the x-axis above the x-axis, while the integral from 0 to -6 represents the area between the curve and the x-axis below the x-axis.
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x(7x-3)(x^2+81)=0x (7x-3)(x2+81)=0
2t+8>-4(t+1)
T>___
**The sign is meant to be more than or equal to.**
Line CD passes through points (0, 2) and (4, 6). Which equation represents line CD?. .a. y = 2x – 2. b.y = 2x + 2. c.y = x + 2. d. y = x – 2
the equation for a line is y = m x + b
using the first set of coordinates (0,2)
2 = m * 0 + b
b = 2
using the second set of coordinates (4,6)
6 = 4 m + 2
4 m = 4
m = 4 / 4
m = 1
use those numbers into the line equation
y = x +2
Answer is C
Answer:
The equation of line is y = x + 2 .
Option (c) is correct .
Step-by-step explanation:
The equation of line is represented by
[tex](y-y_{1}) = \frac{(y_{2}-y_{1})}{x_{2}-x_{1}} (x-x_{1})[/tex]
As given
Line CD passes through points (0, 2) and (4, 6).
[tex](y-2) = \frac{(6-2)}{4-0}(x-0)[/tex]
[tex](y-2) = \frac{4}{4}(x-0)[/tex]
y -2 = x
y = 2 + x
Therefore the equation of line is y = x + 2 .
Option (c) is correct .
12 yellow balls and 9 red balls are placed in an urn. Two balls are then drawn in succession without replacement. What is the probability that the first ball drawn is a red ball if the second ball drawn is yellow? a) 0.8333 b) 0.4500 c) 0.5714 d) 0.4762 e) 0.2593 f) None of the abov
What is the equation of the line (8,-6) 8x-3y=7
What is the coefficient of the x6y3 term in the expansion of (x + 2y)9?
a)84
b)168
c)336
d)672
The answer is d.) 672
20 POINTS PLEASE HELP, need it tonight
A system of equations is graphed on the coordinate plane.
2y=3x−14
y=6x−2
A. No solution
B. One solution
C. Infinitely many solutions
Answer:
A
Step-by-step explanation:
Jamar is factoring 90x-15. Find his mistake and correct it
Answer: 15(6x - 1)
Step-by-step explanation: Jamar had a great start, by figuring out the factors of both 90 and 15; of which he picked 15.
What he got wrong was failing to do same to the value 15 exactly what he did to 90x.
To put it right, here is how to go about it:
90x - 15
Factor of both 90 and 15 is 15
Therefore:
15 (6x - 1)
This is correct. You can as well expand the result to check.
The correct factorization will be: 15(6x - 1)
Given,
90x-15
Here,
Jamar had a great start, by figuring out the factors of both 90 and 15; of which he picked 15.
What he got wrong was failing to do same to the value 15 exactly what he did to 90x.
To make it correct:
90x - 15
Factor of both 90 and 15 is 15
Therefore:
15 (6x - 1)
Hence the correct factorization is achieved .
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How much time does it take light to travel from the moon to the earth, a distance of 384000?
V = speed of light = 3 x 108 m/s
d = distance = 384000 x 103 m = 3.84 x 108 m
time taken = t = d/V = 3.84 x 108 /(3 x 108 ) = 1.28 sec
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How long will it take the tool to fall to the ground?
The function for objects dropped from a height where t is the time in seconds, h is the height in feet at time t, and h0 is the initial height is h(t)=-16t^2+h0. The building I already figured to be 162 feet.
Thank You!!
Write two ways to group and add 4+2+5.
Answer:
We can use the associative property of addition to group the numbers for addition.
Step-by-step explanation:
We are given the following information in the question:
We have to add [tex]4 + 2 + 5[/tex] in two different ways.
Associative property of addition
The associative property states that you can add regardless of how the numbers are grouped. By grouped we mean how we use parenthesis.[tex](a+b)+c = a+(b+c)[/tex]Working:
[tex]4 + 2 + 5[/tex]
[tex](4+2)+5 = 4+(2+5)\\6 + 5 = 4 + 7\\13 =13[/tex]
The associative property allows for different groupings of numbers when adding without affecting the sum, such as (4 + 2) + 5 and 4 + (2 + 5), both resulting in 11.
Explanation:In mathematics, especially when dealing with arithmetic operations like addition, we have the flexibility to group numbers in different ways due to the associative property of addition. This property tells us that the way in which numbers are grouped does not affect the sum. Here's how you can group and add the numbers 4, 2, and 5 in two different ways:
Way #1: Group (4 + 2) + 5 = 6 + 5 = 11Way #2: Group 4 + (2 + 5) = 4 + 7 = 11Both methods give us the same result, which is 11, demonstrating the associative property in action.
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True or false. The equation csc^2x-1=cot^2x is an identity.
Answer: true
Step-by-step explanation:
a pe x
Roberto Anaya and his wife plan to rent a condominium for $725 per month. They pay a $125 monthly fee for all of the maintenance work. Their annual expenses are insurance $468, lost interest, $129; and utility bills, $3,000. What are their average monthly expenses to the nearest cent?
Answer:
The average monthly expenses is $ 1,149.75
Step-by-step explanation:
Given,
The monthly rent of the condominium = $ 725,
Also, monthly fee for maintenance work = $ 125,
And, Their annual expenses are insurance $468, lost interest, $129; and utility bills, $3,000,
⇒ The total annual expenses in insurance, lost interest and utility bill = $ 468 + $ 129 + $ 3,000
= $ 3597,
⇒ The monthly expenses in insurance, lost interest and utility bills = [tex]\frac{3597}{12}[/tex]
= $ 299.75,
Hence, the average monthly expenses = monthly rent of the condominium + monthly fee for maintenance work + monthly expenses in insurance, lost interest and utility bills
= $ 725 + $ 125 + $ 299.75
= $ 1,149.75
Which of the following are true of bar graphs?
Howard pays $327 for one dozen collector's edition baseball cards. About how much does he pay for each baseball card?
there are 500 seventh grade students at heritage middle school. sixty percent of them play a musical instrument. how many seventh grade students play a musical instrument
Solve: The quantity 2 x minus 10 divided by 4 = 3x
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A camera televising the opening kickoff of a football game is positioned 5 yards from the east edge of the field and in line with the goal line. The player with the football runs down the east edge of the field (just in bounds) for a touchdown. When he is 10 yards from the goal line, the camera is turning 0.4 rad/sec. How fast is the player running.
I know that the professor wants a diagram with a formula, then you take the derivative of that and plug in your information to find the answer, however, i can not figure out the diagram.
what is the correct math operation to determine the price per ounce (unit price) for the 6-pack of 12-ounce cans priced at $1.69.
A student solved the equation 6s – 10 = 2 + 3s + s and got s = –4. His work shown below is his check for this problem. Which statement best applies to the work shown? A. His check does not work, thus s = –4. B. The work in his check is all correct, thus s = –34. C. The work in his check is all correct, thus s = –4. D. His check does not work, thus
The student's check does not work, thus s = -4. Therefore, the correct statement is A.
Let's evaluate the student's check for the equation 6s - 10 = 2 + 3s + s when s = -4.
Substitute s = -4 into the equation:
6(-4) - 10 = 2 + 3(-4) + (-4)
-24 - 10 = 2 - 12 - 4
-34 = -14
Since [tex]\(-34 \neq -14\)[/tex], the result obtained by the student's check is incorrect.
Therefore, the statement that best applies to the work shown is:
A. His check does not work, thus s = -4.
85 x 63 whoever gets it gets braiest
The table shows the height in feet of several student in mrs. Patel. Class
Answer:
Is there a table that i can help with.
Step-by-step explanation:
Find the value of sec θ for the point (7,6)
What is the sum?
mc003-1.jpg
–20
–4
4
20
the pic is the .jpg
we have that
[tex]8+(-12)[/tex]
eliminate parentesis
[tex]8+(-12)=8-12=-4[/tex]
therefore
the answer is
[tex]-4[/tex]
Type the integer that makes the following subtraction sentence true:
– 0 = 8
you subscribe to m different magazines. your friend subscribes to 2 fewer than you
What is 413,125 rounded to the nearest ten thousand?
8-(x+3)=11 solve for x
This confuses me, can someone explain it?
There is a linear relationship between the number of chirps made by the striped ground cricket and the air temperature. a least-squares fit of some data collected by a biologist gives the model = 25.2 + 3.3x, where x is the number of chirps per minute and is the estimated temperature in degrees fahrenheit. what is the predicted increase in temperature for an increase of 5 chirps per minute?
For an increase of 5 chirps per minute, the predicted increase in temperature is approximately 41.7 degrees Fahrenheit.
What is the predicted increase in temperature for an increase of 5 chirps per minute?In the given linear relationship model, the equation is:
T = 25.2 + 3.3x
Where:
T represents the estimated temperature in degrees Fahrenheit.
x represents the number of chirps per minute.
To find the predicted increase in temperature for an increase of 5 chirps per minute, you can simply plug in the value of x as 5 into the equation:
T = 25.2 + 3.3(5)
Now, calculate the result:
T = 25.2 + 16.5
T = 41.7
So, for an increase of 5 chirps per minute, the predicted increase in temperature is approximately 41.7 degrees Fahrenheit.
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