Answer:
a) This integral can be evaluated using the basic integration rules. [tex]\int 11x^{4}dx = \frac{11}{5} x^{5}+C[/tex]
b) This integral can be evaluated using the basic integration rules. [tex]\int 8x^{1}x^{4}dx=\frac{4}{3}x^{6}+C[/tex]
c) This integral can be evaluated using the basic integration rules. [tex]\int 3x^{31}x^{4}dx=\frac{x^{36}}{12}+C[/tex]
Step-by-step explanation:
a) [tex]\int 11x^{4}dx[/tex]
In order to solve this problem, we can directly make use of the power rule of integration, which looks like this:
[tex]\int kx^{n}=k\frac{x^{n+1}}{n+1}+C[/tex]
so in this case we would get:
[tex]\int 11x^{4}dx=11 \frac{x^{4+1}}{4+1}+C[/tex]
[tex]\int 11x^{4}dx=11 \frac{x^{5}}{5}+C[/tex]
b) [tex]\int 8x^{1}x^{4}dx[/tex]
In order to solve this problem we just need to use some algebra to simplify it. By using power rules, we get that:
[tex]\int 8x^{1}x^{4}dx=\int 8x^{1+4}dx=\int 8x^{5}dx[/tex]
So we can now use the power rule of integration:
[tex]\int 8x^{5}dx=\frac{8}{5+1}x^{5+1}+C[/tex]
[tex]\int 8x^{5}dx=\frac{8}{6}x^{6}+C[/tex]
[tex]\int 8x^{5}dx=\frac{4}{3}x^{6}+C[/tex]
c) The same applies to this problem:
[tex]\int 3x^{31}x^{4}dx=\int 3x^{31+4}dx=\int 3x^{35}dx[/tex]
and now we can use the power rule of integration:
[tex]\int 3x^{35}dx=\frac{3x^{35+1}}{35+1}+C[/tex]
[tex]\int 3x^{35}dx=\frac{3x^{36}}{36}+C[/tex]
[tex]\int 3x^{35}dx=\frac{x^{36}}{12}+C[/tex]
Help I’ll give brainliest
Answer:
8
888888888888888888888888888
The first person that guess what game I play get free games...
Answers
rblx or among us
and I need help in math good luck
Answer:
amoug us
Step-by-step explanation:
Find the value of -7 + 3(-12) ÷ (-3).
answer:
5 is the answer
Step-by-step explanation:
I don't know how I got my answer but please try
sabrina is making a snack mix. She uses these items. peanuts 5/6, chocolate chips 1/3, granola 1/2, raisins 3/4. What is the total weight Sabrina used
Answer:
29/12
Step-by-step explanation:
5/6+1/3+1/2+3/4
10/12+4/12+6/12+9/12
14/12+6/12+9/12
20/12+9/12
29/12
Please help me lol ......................
Answer:
A
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
simple logic
PLEASE ANSWER FAST!!!!!
Answer:
Step-by-step explanation:
if the function is x the answer is 1 hope it helps
655,325 to the nearest hundred thousands
Answer:
700,000
Step-by-step explanation:
55,325 is closer to 100,000 than it is to 0, so the hundred-thousands place would round up.
Answer:
655,325
Step-by-step explanation:
Im pretty sure it would just stay the same because 3 is not enough to bring the 5 up to 6.
If you owned a house, and the assessed value was $435,000.00, how much in property taxes would you have to pay per year if the rate was 0.79%? (be sure to use $ and a decimal. No need to use a comma)
a bit of help
The Amount of property taxes you would have to pay per year if the rate was 0.79% is $3,436.50.
If you owned a house and the assessed value was $435,000.00, the amount of property taxes you would have to pay per year
if the rate was 0.79% can be calculated as follows:SolutionTo calculate the amount of property taxes, multiply the assessed value by the tax rate.
We can represent this mathematically as:P = R × Vwhere:P = Property taxesR = Tax rateV = Assessed Value
We are given that:R = 0.79%V = $435,000.00
We need to convert the tax rate to a decimal value before we can use it in our calculation. This can be done by dividing the percentage value by 100. Therefore:R = 0.79 ÷ 100= 0.0079
Using the formula above, we can now calculate the property taxes as:P = R × V= 0.0079 × $435,000.00= $3,436.50
Therefore, the amount of property taxes you would have to pay per year if the rate was 0.79% is $3,436.50.
For more questions on Amount.
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question plz helpppppppppp
Answer:
the answer is 38.25
Step-by-step explanation:
45-15%
=38.35
Answer:
$6.75
Step-by-step explanation:
To solve any percent problem, u can use the equation part %
------- = ---
whole 100
(the lines are fraction bars btw, when u right out the problem, write it as fractions)
In this problem, the whole is 45, because that is the original, or whole price. The % is 15, because u want to find 15%. The part would be x, because that's what u want to find. Cross multiply, so ur problem should look like this:
100x = 675.
Then, divide 675 by 100 to get x = 6.75.
So Natalie saves $6.75.
hope this helps!
PLEASE HELP ITS DONE IN 8 HOURSS!!!!!!
Is 4(4f-8)+5= 16f+37
Please help!!
I need to factor P(x)=x^4+50x^2+625
I thought the answer was P(x)=(x^2+25)^2
But it isn’t could someone please help with the answer?
x
4
+
50
x
2
+
625Rewrite
625
as
25
2
.
u
2
+
50
u
+
25
2
Check the middle term by multiplying
2
a
b
and compare this result with the middle term in the original expression.
2
a
b
=
2
⋅
u
⋅
25
Simplify.
2
a
b
=
50
u
Factor using the perfect square trinomial rule
a
2
+
2
a
b
+
b
2
=
(
a
+
b
)
2
, where
a
=
u
and
b
=
25
.
(
u
+
25
)
2
Replace all occurrences of
u
with
x
2
.
(
x
2
+
25
)
2
A dilation produces a smaller figure. Which is a possible scale factor?
0 -2
O 1/3
O 1
O4
Answer:
1/3
Step-by-step explanation:
find the common difference of the arithmetic sequence 10, 1, -8...
How will the graph of the function f(x)=3^x translate the function is changed to f(x)=3(x-2)
Answer:shift two units to the right
Step-by-step explanation:
Employees at Pete's Packaging earn time-and-a-half pay for all hours worked beyond 40 hours.
Last week an employee worked a total of 44.5 hours. How much overtime pay did the employee
earn if his regular pay rate is $12.28 per hour?
Answer:
82.89
Step-by-step explanation:
hehe lol? math math math
Answer:
lol
Step-by-step explanation:
Answer:
math kinda sucks. :) Brainliest pls???
Step-by-step explanation:
) Express each of these statements using mathematical and logical operators, predicates, and quantifiers, where the domain consists of all integers. a) The sum of two negative integers is negative. b) The difference of two positive integers is not necessarily positive. c) The sum of the squares of two integers is greater than or equal to the square of their sum. d) The absolute value of the product of two integers is the product of their absolute values.
Answer:
a. ∀ a, b ∈ Z, if a < 0 ∧ b < 0 ⇒ a + b < 0
b. ∀ a, b ∈ Z, if a > 0 ∧ b > 0 ⇒ a - b < 0 ∨ a - b > 0
c. ∀ a, b ∈ Z, a² + b² ≥ (a + b)
d. ∀ a, b ∈ Z, |ab| = |a||b|
Step-by-step explanation:
a. The sum of two negative integers is negative.
First, we take the quantifier ∀ and write the two integers a and b as a element of the set of integers Z as ∀ a, b ∈ Z. Now, if a and b are negative, we write if a < 0 ∧ b < 0 where the logical operator ∧ represents "and". So, we have the statements ∀ a, b ∈ Z, if a < 0 ∧ b < 0. Then finally, we use the logical operator ⇒ to imply the summation of the two integers as ⇒ a + b. And since we are to show that their sum is less than zero, we write ⇒ a + b < 0.
Combining this statement with the previous expressions, we have
∀ a, b ∈ Z, if a < 0 ∧ b < 0 ⇒ a + b < 0
b. The difference of two positive integers is not necessarily positive.
First, we take the quantifier ∀ and write the two integers a and b as a element of the set of integers Z as ∀ a, b ∈ Z. Now, if there exists a and b that are positive, we write if a > 0 ∧ b > 0 where the logical operator ∧ represents "and". So, we have the statements ∀ a, b ∈ Z, a > 0 ∧ b > 0. Then finally, we use the logical operator ⇒ to imply the difference of the two integers as ⇒ a - b. And since we are to show that their difference is either less than zero or greater than zero, we write ⇒ a - b < 0 ∨ a - b > 0 where ∨ implies the logical operator "or".
Combining this statement with the previous expressions, we have
∀ a, b ∈ Z, if a > 0 ∧ b > 0 ⇒ a - b < 0 ∨ a - b > 0
c. The sum of the squares of two integers is greater than or equal to the square of their sum.
First, we take the quantifier ∀ and write the two integers a and b as a element of the set of integers Z as ∀ a, b ∈ Z. Now, since we are dealing with the sum of the squares of each integer, we write a² + b². And, we are to show that this sum is greater than the sum of the individual integers, we write their sum as a + b, and we show the previous sum to be greater than or equal to this as a² + b² ≥ (a + b).
Combining this statement with the previous expressions, we have
∀ a, b ∈ Z, a² + b² ≥ (a + b)
d. The absolute value of the product of two integers is the product of their absolute values.
First, we take the quantifier ∀ and write the two integers a and b as a element of the set of integers Z as ∀ a, b ∈ Z. Now, since we are to show that absolute value of the product of the integers equals the product of the absolute value of the individual integers, we write the that absolute value of the product of the integers as |ab| and the product of the absolute value of the individual integers as |a||b|.
Since we are to show that this expression and the previous expression are equal, we write |ab| = |a||b|.
Combining this statement with the previous expressions, we have
∀ a, b ∈ Z, |ab| = |a||b|
Find the coordinates of the center and the measure of the radius for a circle whose equation is (x - 3)^2 + (y - 7)^2 = 2.
A. center = (3,7), radius = √2
B. center = (3,7), radius = 1
C. center = (-3, -7), radius =4
D. center = (-3, -7), radius =1
Answer:
A
Step-by-step explanation:
Equation for a circle of radius r, centered at (h,k):
(x-h)² + (y-k)² = r²
The coordinates of the center and the measure of the radius for a circle given are center = (3,7), radius = √2.
What is a circle?A circle is a shape or a curve in a plane that has a fixed distance, called the radius, from a given point, called the center. A circle is also the set of all points that are equidistant from the center.
Given is an equation of a circle, we need to find coordinates of the center and the measure of the radius for a circle,
The equation of the circle =
(x - 3)² + (y - 7)² = 2
The standard equation for a circle of radius r, centered at (h,k):
(x-h)² + (y-k)² = r²
Comparing both we get,
(h, k) = (3, 7)
r² = 2
r = √2
Hence, the coordinates of the center and the measure of the radius for a circle given are center = (3,7), radius = √2.
Learn more about circle, click;
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6=2(y+2)
I. Don’t get it
Answer:
1
Step-by-step explanation:
6=2*y+4
6-4=2*y
2=2*y
y=2/2
y=1
What are the answers to the puzzle?
Answer:
1) 25°
2) 155°
3) 25°
4) 25°
5) 110°
6) 30.5°
7) 41°
Step-by-step explanation:
5) 5x + 15 = 8x - 42, 3x = 57, x= 19, ∠CDE = 5(19) + 15 = 110°
6) 3x + x + 4 + 70° = 180°, 4x = 106°, x = 26.5°, ∠ABC = 26.5° + 4° = 30.5°
7) 2x + x + 4 + 65° = 180°, 3x = 111°, x = 37°, ∠MNO = 37° + 4° = 41°
what is the answer to this question 108=
And can someone answer this question as well please
Answer:
a) 3
b) 725
c) 12100
d)3900
Treven puts 8 gallons of gas in his car air pays $22.00 what is the cost of 1 gallon of gas complete the table
Answer:
the cost of each gallons is 8÷22.00=$361.5x= 3 help me I don't know what this means
Answer:
x = 2
Step-by-step explanation:
simple
just divide 3 by 1.5 to get x
3 / 1.5 = 2
so
x = 2
Hope this helped! Have a nice day! Plz mark as brainliest!!! :D
-XxDeathshotxX
Please help!!! I'm very confused! Im giving points for it but if please tell the truth <3
Answer:
A
Step-by-step explanation:
It actually trying to trick you with a double negative
Answer:
A
Step-by-step explanation:
Squares do have right angles, if they did not have to then all other ssquares with no right angles would be considered rhombuses.
The question is sking which does not apply, a does not apply but thats what theyre asking so its a
9.85xs;s=4
help me. please
Answer:
39.4
Step-by-step explanation:
9.85 * (4) = 39.4
Look for Patterns Sally sees
a pattern in these numbers. Describe
the pattern.
500, 501, 502, 503, 504, 505
Answer:
Step-by-step explanation:
It is an arithmetic sequence. The nth term = 499 + n
Help plz....................
Answer with explanation:
y+1 = 26 ; y = 26-1 = 25
x-2 = 19 ; x = 19+ 2 = 21
I hope im roght!!
What is the probability of landing on red and rolling a number greater than 2?
Answer: 1/4 I think
Step-by-step explanation: