Hope this isn’t too difficult, my teacher said to show you're work... so I hope you don’t mind explaining how you found it.
Answers
Answer:
3/4 / 1/6
keep the first fraction the same
3/4
flip the second fraction
6/1
change the division to a multiplication it should then read
3/4 X 6/1
now multiply the fractions
3 X 6 = 18
4 X 1 = 4
18/4 this can then be turned into a mixed number.
there are four 4's in 18 with two left over. so it becomes
4 2/4 and simplified 4 1/2.
Related Questions
U-substitutions only work for specific kinds of expressions. Below, you are asked to choose a value of n for which u-substitutions will be a useful integration technique. Then, you are to compute the antiderivative with that specific n. (E.g., if n = 5 makes u-subs work, then solve the integral with a 5 in place of n).
(a) [ zºeke*+1 "'de
(b) /co cos(1/2) dr
(c) / r+n dr 22 + 8x - 4
Answers
Answer:
Step-by-step explanation:
(a) [tex]\int x^n e^{5x^4+1} \ dx[/tex]
Suppose [tex]5x^4 + 1 = f[/tex]
by differentiation;
[tex]\implies \ 20 x^3 dx = df --- (1)[/tex]
Suppose n = 3
Then, the integral
[tex]I = \int x^ 3 e^{5x^4 + 1} \ dx[/tex]
[tex]= \int e^f \ \dfrac{df}{20}[/tex]
[tex]= \dfrac{1}{20} \int e^f \ dt[/tex]
[tex]= \dfrac{1}{20} e^f + C[/tex]
recall that [tex]f = 5x^4 + 1[/tex]
Then;
[tex]\mathbf{ I = \dfrac{1}{20}e^{5x^4+1}+C}[/tex]
(b) [tex]\int \dfrac{cos (\dfrac{1}{x^3})}{x^n } \ dx[/tex]
suppose; [tex]\dfrac{1}{x^3} = f[/tex]
[tex]x^3 = f[/tex]
[tex]\implies -3x^{-4} \ dx = df[/tex]
[tex]\implies \dfrac{1}{x^4} \ dx =-\dfrac{1}{3} df[/tex]
If n = u, then the integration is:
[tex]I = \int \dfrac{1}{x^4} \ cos (\dfrac{1}{x^4}) \ dx[/tex]
[tex]= \int -\dfrac{1}{3} \ cos \ f \ df[/tex]
[tex]= -\dfrac{1}{3} \int \ cos \ f \ df[/tex]
[tex]= -\dfrac{1}{3} \ sin \ f + C[/tex]
Since; [tex]x^3 = f[/tex]
Then;
[tex]\mathbf {I = -\dfrac{1}{3} \ sin \ \Big( \dfrac{1}{x^3}\Big) + C}[/tex]
(c) [tex]\int \dfrac{x+n}{x^2 + 8x -4} \ dx[/tex]
Suppose [tex]x^2 + 8x - 4 = f[/tex]
Then, by differentiation of both sides
[tex](2x + 8) \ dx = df[/tex]
[tex](x + 4) \ dx = \dfrac{1}{2} \ df[/tex]
Suppose n = 4 in integration, then:
[tex]I = \int \dfrac{(x + 4) }{x^2 +8x -4} \ dx[/tex]
By substitution;
[tex]I = \int \dfrac{1}{2}\dfrac{1}{f} \ df[/tex]
[tex]= \dfrac{1}{2} \ \ { In |f|} + C[/tex]
[tex]\mathbf{= \dfrac{1}{2} \ \ { In |x^2+8x -4|} + C}[/tex]
The suitable substitutions of n are 3,4,4 respectively.
What is integration?The process of finding integrals is called integration.
a)[tex]f(x)=\int\limits {x^3e^{5x^4+1} } \, dx[/tex]
Suppose
[tex]5x^4+1 =t\\20x^3 dx =dt[/tex]
So, we need n=3 for easy integration.
[tex]f(x)=\int\limits {x^3e^{5x^4+1} } \, dx[/tex]
[tex]I = \frac{1}{20} \int\limits {e^{t} } \, dt[/tex]
[tex]I=\frac{e^{t} }{20}[/tex]
[tex]I = e^{5x^{4}+1 }/20 +c[/tex]
b)Similarly for [tex]f(x) = \int\limits\frac{cos(\frac{1}{x^3} )}{x^n} \, dx[/tex]
n=4 is needed for easy integration.
I = [tex]\frac{-1}{3} sin(\frac{1}{x^3} ) +c[/tex]
c)For [tex]f(x) = \int\limits \frac{x+n}{x^{2} +8x-4} \, dx[/tex]
n=4 is needed for easy integration.
[tex]I = \frac{1}{2} log(x^{2} +8x-4)[/tex]
Hence, the suitable substitutions of n are 3,4,4 respectively.
To get more about integration visit:
https://brainly.com/question/2633548
I need help plz I will mark brainliest
Answers
how do you create a graph for linear equation? I need to graph 3x=4
Answers
Answer:
Look at the graph below, hope this helped.
Step-by-step explanation:
PLEASE HELP!!!!
A taxi charges $4.00 for the first mile plus $1.25 for each additional mile.
On a fare of $16.50, how long was the ride?
Answers
Answer:
The fare ride was 11 miles.
Step-by-step explanation:
So it says that for the first mile the taxi charged $4.00 okay? so then it says for each additional mile he charges $1.25 so what i did was add the $4.00 and then kept on adding $1.25. so $4.00 plus $1.25 equals $5.25 so continue adding $1.25 till you get to exactly $16.50.. Count up exactly how many "$1.25's" it took to get to $16.50 so it would be exactly 10 times you had to add $1.25 to it and we cant forget the first mile which was $4.00 so thats an additional mile so then it would 11 miles !
Pls find this asap I am already late for this pls
Answers
Answer:
Step-by-step explanation:
I'm not sure about number 3, but I have the answer for number. The answer is 1:32.
3: 69
3/69
Then we reduce the fraction to the lowest term
3/69 = 1/32
1:32
Just divide 96/3 and you can see that one bus can hold 32 students
What force is affected when the distance between two objects remains the name and the mass of each object is doulod?
HELP quick
Answers
Answer:
gravitational force or A the first one
Step-by-step explanation:
Answer:
Step-by-step explanation:
it a
if you roll a pair of dice, what is the probability that both are 3's or that the sum is more than 8
Answers
Answer:
11/36
Step-by-step explanation:
We have 36 possible outcomes when rolling a pair of dice.
Only 1 outcome gets both 3's. (3 3)
For the sum to be greater than 8, there are 10 outcomes.
(3 6) (4 5) (4 6) (5 4) (5 5) (5 6) (6 3) (6 4) (6 5) (6 6)
The probability is therefore (1+10)/36=11/36.
Work out the surface area of this cylinder 8.2cm 17.5cm
Answers
Answer: 1324.12 sq. cm.
Step-by-step explanation:
A=2πrh+2πr2
A = 2π x 8.2 x 17.5 + 2π x 8.2^2
A = 2π x 143.50 + 2π x 67.24
A= 1324.12
Drag the numbers to create three ratios that are equivalent to 4:12.
Numbers can only be used once.
Pls help
Answers
how might you ask for 1/10 of a liter of water
Answers
Answer:
weird questions but...
May I have 4 cups of water please?
Answer:
deciliter of water
Step-by-step explanation:
a unit of capacity equal to 1/10 of a liter.
Mel earns $15 per hour working at a bakery. How much does he earn if he
works for 5 hours?
A. $30
B. $155
C. $75
O D. $105
Answers
CORRECT ANSWER AND I WILL THANK, GIVE 5 STARS, AND GIVE BRAINLIEST!!!!
System Of equations:
Solve by elimination:
7x + 2y = 13
x - 2y = 11
Group of answer choices
(3 . -4)
(3 , 4)
(4 , 3)
(-4 , -3)
Answers
[tex](7x + 2y) + (x - 2y) = 13 + 11 \\ 8x = 24 \\ x = \frac{24}{8} \\ x = 3[/tex]
Substitute x = 3 in any given equations.[tex]x - 2y = 11 \\ 3 - 2y = 11 \\ 3 - 11 = 2y \\ - 8 = 2y \\ \frac{ - 8}{2} = y \\ - 4 = y[/tex]
Answer Check
Substitute x = 3 and y = - 4 in both equations.[tex]7x + 2y = 13 \\ 7(3) + 2( - 4) = 13 \\ 21 - 8 = 13 \\ 13 = 13[/tex]
[tex]x - 2y = 11 \\ 3 - 2( - 4) = 11 \\ 3 + 8 = 11 \\ 11 = 11[/tex]
Both equations are true for x = 3 and y = 4.
Answer[tex] \large \boxed {(3, - 4)}[/tex]
Feel free to ask if you have any questions related to the answer or the explanation.
what is 2+2-3+9-5+3=
Answers
Answer:
8
Step-by-step explanation:
Answer: the answer is 8
Step-by-step explanation: hope this helps :)
After selecting 180 of its employees to from a new division, a company discovers that engineers outnumber analysts by a 3:1 ratio in the division. Oly analysts and engineers work in the new division. How many more analysts must the company add to the division if it wants to have a 1:1 ratio of engineers to analysts at the new division?
Answers
Answer:
I think its 90
Step-by-step explanation:
3x plus 1x is 4x divide 180 but 4 and get 45 so that meab there are 135 and 45
you need 90 more analysts to have a 1 to 1 ratio
A chef used one-fifth of a bag of potatoes for a meal. If the potatoes fed 2 people, what fraction of the bag did each person get? (Will give brainliest)
Answers
Answer:
They each got 1/10th of the bag
Step-by-step explanation:
you just divide 1/5th by 2 which is 1/10
Which system of equations is represented by the graph?
10
8
(4.0)
-10-8
-6 -4 -2
8
1D
(-1,-571
y = x +4
X+4
y =
X+2
y = x - 4
X+4
y =
X+2
y = x + 4
X-4
y =
X+2
y = x - 4
X-4
y =
X+2
Answers
Answer:
-6
Step-by-step explanation:
is it
Jessica locates her garden using a coordinate grid with yards as the units. The two points
(-5, -2) and (-8, -3) represents the two corners of the garden. Approximately how far
apart are the two corners?
Answers
Answer:
These two corners are [tex]\sqrt{13}[/tex] units apart.
Step-by-step explanation:
Distance between two points:
Suppose we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Approximately how far apart are the two corners?
We have to find the distance between the points (-5,-2) and (-8-3). So
[tex]D = \sqrt{(5-(-8))^2+(-2-(-3))^2} = \sqrt{13}[/tex]
These two corners are [tex]\sqrt{13}[/tex] units apart.
Where art thou smart people
Answers
Answer:
a smart person is not me clearly lol
Step-by-step explanation:
divide 18 by 3, then add 9
Answers
Answer:
15
Step-by-step explanation:
18 ÷ 3 = 6
6+3 =15
hope this helps
8x-5y=37 x=2y+6 substitution
Answers
Answer:
Solve for the first variable in one of the equations, then sub the result into the other equation.
point form- (4,-1)
equation form- x=4, y=-1
Step-by-step explanation:
I HIGHLY recommend math-way to help you with problems like this :)
hope this helps!
what is the name for the marked?
Answers
Answer:
C not sure though
Step-by-step explanation:
Explanation: it’s a connected line and it can’t be DAC since there isn’t a option for that
Hope this helped! :)
A convex polygon has 6 sides what is the sum of its interior angles 1980°.
Answers
Step-by-step explanation:
Sum of interior angles in a polygon
= 180°(n - 2), where n is the number of sides.
Hence a convex polygon with 6 sides
=> 180°(6 - 2) = 720°.
Please solve the question below 5
Answers
Answer:
Answer is B
Step-by-step explanation:
P(x<2) - P(x<-2) = .9772 - .0228 = .9544
= 95%
What is the measure of the missing leg of a right triangle if the hypotenuse measures 10 ft and the other leg measures 8 ft?
Answers
Answer:
2?
Step-by-step explanation:
At the sleepover, Drew's friends ate 3 3/9 cups of ice cream. The next day, his family ate 2 4/9 cups more. How many cups did they eat altogether?
Answers
All flour from five bags with 3/8 lbs of flour in each was divided into equal parts to make 7 loaves of bread. How can you calculate the amount of flour used for each loaf? select all that apply
Answers
was divided into equal parts to make 7 loaves of bread. How can you mount of flour used for each loaf? select all that apply
Step-by-step explanation:
Answer:
B, C, F
Step-by-step explanation:
C = 3/8 divided 7 times 5. 3/8 lbs of flour in each was divided into equal parts to make 7 loaves. 3/8 divide by 7. Since there are 5 bags, times 5.
B = 3/8 times (for the five bags) times 5 divided by 7 samething from C.
F = You know the pattern now. Hint: B is the answer...
Heather is a cashier. She can ring up 121 customers in 9 minutes.
At this rate, how many minutes does it take her to ring up 4 customers
Answers
Answer:
In four minutes Heather can ring up 52 maybe even 53 customers.
Step-by-step explanation:
To find this answer you would have to find how many customers Heather can rind up in one minute. To do this you can do 121 divided by 9 which equals about 13 so you can use 13. And then you would do 13 times 4 because that's how many minutes the question is asking for, and your answer would be about 52, so your answer is about 52 close to 53, you might not get an exact answer for a problem like this. :)
Angle A is circumscribed about circle O. What is the measure of A?
Answers
Answer:
88°
Step-by-step explanation:
Connect A to O, you'll have 2 same right triangles and angle COB is going to be split in half.
Answer:
88
Step-by-step explanation:
11 ÷ 3/4=
what dose it means
Answers
Answer:
14.66 or 14.7
Step-by-step explanation:
if we solve the equation we get 14.6666 but since it goes on and on we round and put it on 14.7
Answer:
Step-by-step explanation:
11 ÷ 3/4 = [tex]11 * \frac{4}{3}[/tex]
[tex]=\frac{44}{3}\\\\=14\frac{2}{3}[/tex]
A rectangular garden has a perimeter of 50cm. The length of one side is 15cm. What is the measurement of the width?
Answers
Answer:
The measurement of the width is 10cm.