Answer:
[tex] \displaystyle D) {x}^{5} + \rm C[/tex]
Step-by-step explanation:
we would like to integrate the following Integral:
[tex] \displaystyle \int 5 {x}^{4} \, dx [/tex]
well, to get the constant we can consider the following Integration rule:
[tex] \displaystyle \int c{x} ^{n} \, dx = c\int {x}^{n} \, dx[/tex]
therefore,
[tex] \displaystyle 5\int {x}^{4} \, dx [/tex]
recall exponent integration rule:
[tex] \displaystyle \int {x} ^{n} \, dx = \frac{ {x}^{n + 1} }{n + 1} [/tex]
so let,
[tex]n = 4[/tex]Thus integrate:
[tex] \displaystyle = 5\left( \frac{ {x}^{4+ 1} }{4 + 1} \right)[/tex]
simplify addition:
[tex] \displaystyle = 5\left( \frac{ {x}^{5} }{5} \right)[/tex]
reduce fraction:
[tex] \displaystyle = {x}^{5} [/tex]
finally we of course have to add the constant of integration:
[tex] \displaystyle \boxed{ {x}^{5} + \rm C}[/tex]
hence,
our answer is D)
Why are the divisibility rules for 2, 3, and 5 very useful for determining prime and composite numbers
1. They are the smallest odd numbers
2. They add up to 10
3. They are prime numbers with nice divisibility rules
4. They multiply to 30
5. They can be multiplied together to make every number
Answer:
option 3.
Step-by-step explanation:
alright, ima explain each option.
1. "smallest odd numbers" 2 is an even number. that's out of the playing field.
2. "add up to 10" sure, they do add up to 10, but finding prime and composite numbers are all about division and multiplication.
3. this is true. 2, 3, and 5 are all prime numbers, and they have the nice divisibility rules. [ for 2, it has to be even, for 5, it has to end in 0 or 5, and 3 has to have the sum of its digits being divisible by 3. ]
4. they do multiply to 30, but this does not help break the composite numbers down.
5. we cannot make every number with just these. we can not multiply any other whole number to get 7 for per example, because it's a prime number.
sub to gauthmath sub reddit if ya can !
Rewrite 18y • 4x using the commutative property.
Answer:
(1)18y x 4x(1)
Step-by-step explanation:
Please answer this question with any of the 4 choices i have been struggling with this
Answer:
Choice A. [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Turn the mixed numbers into improper fractions:
[tex]\frac{14}{9} /\frac{7}{3}[/tex]Flip the second term and multiply:
[tex]\frac{14}{9} /\frac{3}{7}[/tex][tex]\frac{42}{63}[/tex]Simplify:
[tex]\frac{2}{3}[/tex]Answer:
A
Step-by-step explanation:
Please help these are the last ones I need I will mark you as brainliest if you answer them correctly! Ty
Dave and Bill were shooting free throws. Dave MADE 7 out of 15 free throws. Bill MISSED 6 out of 10 free throws. Who made the greatest fraction of free throws?
Answer:
Bill
Step-by-step explanation:
Bill-6/10=0.6 Dave-7/15=0.46Bill has a greater average. Hence, Bill has the greater fraction.
Kindly Please Help....
You will need to make make a frequency distribution table and represent it in a bar graph creatively. (5 different forests in India)
Answer:
1st- thorn forest - forest which have many thorns it is in rajasthan
2nd- evergreen forest - a forest whose trees are green in any season
3rd- Amazon forest - in Amazon forests there are many venomous/ poisonous amphibians and stuff like anacondas and wild animals.
Step-by-step explanation:
so sorry this is all i could find
Mrs. Singh made 372 cookies to put in gift boxes. She will put 20 cookies in each box. How many cookies will be left over?
Answer:
12
Step-by-step explanation:
372 : 20 = 18 (rest 12)
check
18 * 20 + 12 = 372
In triangle JKL, angle JKL is a right angle, KM and is an altitude. JL=8 and JM=2, find JK
Answer:
4
Step-by-step explanation:
I could be wrong, but I think it's 4. as JL divided by JM equals 4. Like I said, I could be wrong, but it's worth a shot.
Answer:
4?
Step-by-step explanation:
Mr. Jack conducted a survey among the students in his class to see what the most popular color was. The results of his survey are displayed in this table. Which statistic(s) can be used to represent the most popular color? A. the mean B. the median C. the mode D. the median and the mode
Answer:
i guess that was
CITS ATTICUS
Answer:
the answer is c
Step-by-step explanation:
hope it helps pls give brainliest
need help or some explaining
Answer:
Add all points to the drawing, then subtract the result,
Step-by-step explanation:
Please Help Me! I will give brainly!!
The distance from your front door to the mailbox is 18 4/5 meters. The distance from your front door to your basketball hoop is 13 7/10 meters. How much farther from your front door is the mailbox than the basketball hoop?
Answer:
5 1/10 meters
Step-by-step explanation:
18 4/5 can be changed to 18 8/10 so
18 8/10 - 13 7/10 = 5 1/10 meters
PLEASE HELP QUICK!
√9=?
Answer:
The square root of 9 is 3
Step-by-step explanation:
Calculator
-3 (x -4/3) < 6
pls help me pls help me
answer is -2/3 . Thanks a lot for giving point.
A waitress earned $73 for 6 hours of work. The total included $46 in tips. What was her hourly wage?
Answer: $4.5/hour
Step-by-step explanation:
Total earned in 6 hours subtracted tips equals wage over 6 hours.
Divide by 6 hours to find individual hourly wage.
Answer: $4.50 per hour
Step-by-step explanation:
First, find how much she earned, excluding the tips.
73-46= 27
She earned $27 in the 6 hours, without tips
To find her hourly wage, you divide 27 by six because, since she worked 6 hours to earn $27, we need to find the unit rate.
27/6 = 4 dollars 50 cents.
HELP THIS IS DUE TOMRROW ANYWAYS THE QUESTION IS
find the coordinate of the midpoint of a segment with the given endpoints.
-7 and -3
This could be wrong because I'm going into the fifth grade but wouldn't it just be (7,-3)?
Question 14 (1 point)
A local bakery called "Becky's Bakery" makes 100 batches of cookies in 8 hours. If they keep up this
pace, how many batches of cookies would they make in 12
hours
Answer:
150 = x
Step-by-step explanation:
We can use a ratio to solve
100 batches x batches
------------------- = ---------------------
8 hours 12 hours
Using cross products
100 * 12 = 8x
1200 = 8x
Divide by 8
1200/8 = 8x/8
150 = x
Answer:
150
Step-by-step explanation:
Find how many batches in one hour
100/8 = 12.5
Multiply 12 hours with 12.5 batches
12 x 12.5 = 150
So, in 12 hours 150 batches are made.
There are two types of tickets sold at the Canadian Formula One Grand Prix race. The price of 5 grandstand tickets and 3 general admission tickets is 2490. The price of 6 grandstand tickets and 6 general admission tickets is 3540 . What is the price of each type of ticket?
Answer: Grandstand: 360, General Admission: 230
Step-by-step explanation:
Use any variable you like but:
Let g represent grandstand ticketsLet a represent general admission ticketsYou know:
5 Grandstand tickets and 3 general admission tickets is 2490:
5g + 3a = 2490The price of 6 grandstand (g) tickets and 6 general admission tickets (a) is 3540
6g + 6a = 3540You want to find out: What is the price of each ticket. To do this either use substitution or elimination.
I will demonstrate elimination:
To do elimination, you want to cancel out one variable. This means you want to multiply each side of the equation by a number. I see 3a and 6a. This means multiply by -2. Again, you want to eliminate the variable.
5g +3a = 2490 → -10g - 6a = -4980Now, add the two equations together: Notice how you can line them up vertically to see how they can add together.
-10g - 6a = -4980+6g + 6a = 3540After that step you get: -4g = -1440Now you can solve for the g (grandstand tickets):
-4g = -1440g = 360You now know grand stand tickets cost 360. Take one of your original equations and solve for a (general admission tickets). To double check your work, they should satisfy both equations.
5g + 3a = 24905(360) + 3a = 24903a = 690a = 2306g +6a = 35406(360) +6a = 35406a = 1380a = 230Therefore general admission tickets cost 230, and grandstand tickets cost 360!
at McDonald's, you get a $1 coupon for every 3 fries you buy. What is the least number of fries you could buy in $10 in coupons?
Answer:
You must buy at least 30 fries to get 10 dollar ins coupons
Step-by-step explanation:
We can write a ratio to find the minimum
1 dollar 10 dollars
--------------- = -------------
3 fries x fries
Using cross products
1 *x = 10 * 3
x = 30
You must buy at least 30 fries to get 10 dollar ins coupons
I really need help with this question please!
Answer:
y = -2x+7
Step-by-step explanation:
The slope intercept form of an equation is
y = mx+b where m is the slope and b is the y intercept
y = -2x +b
Substitute the point into the equation and solve for b
5 = -2(1)+b
5 = -2+b
Add 2 to each side
5+2 = -2+b+2
7=b
y = -2x+7
Please answer all these questions right I can’t do them ♀️
I will mark you as brainliest if you do!
Step-by-step explanation:
first take out graph paper then line it
sorry i don't have graph copy right now hope it work
The number of revolutions made by a bicycle wheel of 28-inch diameter in travelling 1/2 mile is closest to:
(A) 720
(B) 180
C) 360
D) 120
Answer:
C. 360
Step-by-step explanation:
Answer:
C) 360
Step-by-step explanation:
POINTS IF HELP!!! Please help me?
Modeling Real Life
Question:
At a town hall meeting, 37/50 of the members are present. Of those who are present, 1/2 vote in favor of a new park. What fraction of the members do not vote in favor of the new park?
Fraction:_______
A map is drawn to a scale of 1 : 240 000.
(i) If a seawater lake has an area of 3.8 cm² on the map, find its actual area in square kilometres.
(ii) If the actual area of a plot of land is 2 908 800 m², calculate its area on the map.
Step-by-step explanation:
Above are the explanations
A map is drawn on a scale of 1: 240 000.
(i) Actual area [tex]$=21.888 \mathrm{~km}^{2}$[/tex]
(ii) Area on the map = [tex]$0.505 \mathrm{~cm}^{2}$[/tex].
How to estimate the area on the map?(i) 1 cm: 240000 cm = 1 cm: 2.4km
Area scale [tex]$=1^{2} \mathrm{~cm}^{2}: 2.4^{2} \mathrm{~km}^{2}$[/tex]
[tex]$=1 \mathrm{cm}^{2}: 5.76 \mathrm{~km}^{2}$[/tex]
[tex]$1 \mathrm{~cm}^{2}: 5.76 \mathrm{~km}^{2}$[/tex]
[tex]$3.8 \mathrm{~cm}^{2}: 21.888 \mathrm{~km}^{2}$[/tex]
Actual area [tex]$=21.888 \mathrm{~km}^{2}$[/tex]
[tex]$=21.9 \mathrm{~km}^{2}[/tex]
(ii) 1 cm: 240000 cm = 1 cm: 2400 m
Area scale [tex]$=1^{2} \mathrm{~cm}^{2}: 2400^{2} \mathrm{~m}^{2}$[/tex]
[tex]$=1 \mathrm{~cm}^{2}: 5760000 \mathrm{~m}^{2}$[/tex]
[tex]$1cm}^{2}: 5760000 \mathrm{~m}^{2}$[/tex]
[tex]$0.505 \mathrm{~cm}^{2} ; 2108800 \mathrm{~m}^{2}$[/tex]
The area on the map = [tex]$0.505 \mathrm{~cm}^{2}$[/tex].
To learn more about the area on the map
https://brainly.com/question/24103758
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Complete the following sentences based on the graph of the function.
Answer:
1) Decreases
2) not constant
3) non-linear
4) >
5) 8
6) 5
OAmalOHopeO
HURRY IM TIMED!! which inequality is represented by this graph?
Answer:
x<6 this is the answer because the circle is hallow (not including) and going left (less than)
Answer:
x<6
Step-by-step explanation:
Look at the way the blue arrow is pointing that means less than and the circle is open so it is not equal to the number 6.
Write an equation to represent the following statement.
33 is 15 less than k.
Solve for k.
33 is fifteen less than k
---"Is" can be a key word in this statement, meaning equals
33 = k - 15
k = 48
Hope this helps!
Please help me I will give you brainliest Please help meeeee
Please answer all questions please
Answer:
alexander
Step-by-step explanation:
Answer:
Step-byit is alexander
does anyone on here use FLVS?? If so can u help with comprehensive science 5.06 conclusion part?
A person standing on a moving walkway travels 75 feet in 25 seconds. What equation represents this relationship? How many feet will the person travel in 10 seconds?
