Answer:
[tex]\frac{1}{3}[/tex] x³ + 5x + c
Step-by-step explanation:
Using the power rule
∫ a[tex]x^{n}[/tex] dx = [tex]\frac{a}{n+1}[/tex] [tex]x^{n+1}[/tex]
Thus
∫ x² + 5 dx
= [tex]\frac{1}{3}[/tex] x³ + 5x + c ← c is the constant of integration
In 2008, Scott Dixon won the Indianapolis 500, completing 500 laps in approximately 3.5 hours. Approximately how long did it take for him to complete 1 lap?
Answer:
0.007 hour or 25.2 seconds
Step-by-step explanation:
From the question, we are told that for Scott Dixon,he completed
500 laps in approximately = 3.5 hours. 1 lap approximately =
Cross Multiply
= 1 lap × 3.5 hours = 500 laps × a hours
a hours = 1 lap × 3.5 hours/500 laps
a hours = 0.007hours
We can convert 0.007 hours to seconds
60 seconds = 1 minute
60 minutes = 1 hour
1 hour = 60 × 60
= 3600 seconds
1 hour = 3600 seconds
0.007 hour =
0.007 hour × 3600 seconds
= 25.2 seconds
Therefore, it took Dixon approximately 0.007 hour or 25.2 seconds did it take for him to complete 1 lap
add the following a2b - ab2 + 8ab and 2a2b - ab2
Answer:
3a^2b - 2ab^2 + 8ab
Step-by-step explanation:
just add the like terms
a^b + 2a^2b - ab^2 -ab^2 + 8ab
3a^2b - 2ab^2 + 8ab
The addition of the expressions a²b - ab² + 8ab and 2a²b - ab² will be 3a²b - 2ab² + 8ab.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The expressions are given below.
a²b - ab² + 8ab and 2a²b - ab²
The addition of the expressions a²b - ab² + 8ab and 2a²b - ab² will be given as,
⇒ a²b - ab² + 8ab + 2a²b - ab²
⇒ 3a²b - 2ab² + 8ab
The addition of the expressions a²b - ab² + 8ab and 2a²b - ab² will be 3a²b - 2ab² + 8ab.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
Using a portion of her savings as a down payment, Sarah bought a new car in order to commute to her new job, reducing her savings account to only $2220. From her expendible income of $2440, essential expenses (fixed) are $1010 per month, essential expenses (flexible) are $500 per month, and nonessential expenses are $430 per month. Sarah has decided to reduce her nonessential expenses for 9 months to only $230 per month, in order to build her savings back up to $5820. Then she will return her nonessential expense budget to the original $430 per month. Choose the reason or reasons why Sarah would spend less money every month temporarily in order to have this fund. I. She realizes the importance of having an emergency fund. II. She wants to build up her retirement account. III.She understands that reducing expenses can increase savings. a. I b. II and III c. I and III d. II
Answer:
C. I and III
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Add and write the result in the form a+bi. a. (4 + 2i) + (-6 - 7i)
Answer:
- 2 - 5i
Step-by-step explanation:
Given
(4 + 2i) + (- 6 - 7i) ← remove the parenthesis
= 4 + 2i - 6 - 7i ← collect like terms
= - 2 - 5i
Help me please please
Answer:
-2,10
Step-by-step explanation:
fjcvbd,f.jf
1. Travis makes $459 for 36 hours of work, and Jack makes $535.50 for 42 hours of work.
a. How much do Travis and Jack each make per hour?
Answer:
Your answers are 12.75 an Hour for both!
Step-by-step explanation:
Really Simple!
459 Dollars / 36 Hours of Labor
= $12.75/ 1 Hour
535.5 Dollars / 42 Hours of Labor
= $12.75/ 1 Hour
Generate a number that has a digit in the hundred thousand place that is 10 times the digit in the ten thousands place.
Answer:
1000000
ten thousands place : 0
hundred thousands place : 10 x 0 = 0
What IS the solution to 1−(13q−5)=−6
Answer:
q = 12/13
Step-by-step explanation:
Step 1: Write equation
1 - (13q - 5) = -6
Step 2: Solve for q
Distribute -1: 1 - 13q + 5 = -6
Combine like terms: 6 - 13q = -6
Subtract 6 on both sides: -13q = -12
Divide both sides by -13: q = 12/13
Well someone deleted y other question so whats 5x5+3-4.
Answer:
24
Step-by-step explanation:
5×5 +3 - 4
25 +3 - 4
28 - 4
24
Answer:
24
Step-by-step explanation:
Choose te correct symbol
Answer:
<
Step-by-step explanation:
!!!!PLEASE HELP!!!!! 20 points
The local ice cream parlor bought 100 half gallons of gelato for $2.40 per half gallon and stored it in two freezers . One freezer broke, ruining 14 half gallons. If the remaining gelato is sold for $3.96 per half gallon, how much profit will the parlor make? Remember to include a dollar sign in your answer .
Answer:
The profit is $100.56
Step-by-step explanation:
The total cost for the ice cream was 100 * 2.40 = 240
14 1/2 gallons were ruined so there were 100 -14 = 86 half gallons left
They sold these at 3.96 each
86 * 3.96 =340.56
The profit is the money made minus the cost
340.56-240 = 100.56
The profit is $100.56
Emma took 1/4 of a whole cake to school with her. She gave equal pieces of the pie to 5 of her friends. What fraction of the whole cake did each friend get? Include if you used multiplication, division, subtraction or addition
Answer:
I think it's 1/20. I used division
Step-by-step explanation:
Solve the system of linear equation. 2x-5= 14
3x+2y = 40
Answer:
x=9.5, y=5.75
Step-by-step explanation:
2x-5=14, 3x+2y=40
focus on 2x-5=14 first:
2x-5=14 (add 5 to both sides) 2x=19(divide both sides by 2) x=9.5
Now subtitute x into the second equation and find y:
3(9.5)+2y=40(simplify) 28.5+2y=40(subtract 28.5 on both sides) 2y=11.5(divide both sides by 2) y=5.75
please help ASAP i don’t understand this !!
Answer:
f(-7) = -3
Step-by-step explanation:
f(x) = ( x-2)/3
Let x = -7
f(x) = ( -7-2)/3
= (-9)/3
= -3
If the smallest angle of rotation for a regular polygon is 18°, how many sides does polygon have?
O 10
O 12
020
O 24
Answer:
10 sure️️️️️️️️ show to your teacher which class do you raed?
Answer:
C. 20Step-by-step explanation:
given:
exterior angle = 18°
to find the number of sides of a polygon:
the formula would be:
360 = exterior angle
n
360 = 18
n
n = 360/18
n = 20
therefore, the number of sides of a polygon is 20
Round 97.081 to the nearest tenth
Answer:
97, that's the answer.
Answer: 97.1
Step-by-step explanation: the tenth is the first number after the decimal place so in your question that number is the 0 and the number next to it is 8 so, our 0 needs to change because 8 is bigger than 5 on the number line which makes our 0 increase to 1. You don't need to change the whole number at all.
can someone help me find the final answer to this im very confused
Answer:
(7√3)/3
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relation between sides of a right triangle and angles.
Tan = Opposite/Adjacent
That means ...
tan(30°) = x/7
Multiplying by 7, we have ...
x = 7·tan(30°)
x = (7√3)/3
What is .33 converted to a fraction in simplest form
Answer: 33/100
Step-by-step explanation:
.33 is in the hundreths place, so the denominater would be 100. So, it would 33/100. You can't simplify it.
simplify the expression n^3 • 3n
Answer:
Step-by-step explanation:
3n x n^3 = 3n^4
Which statement about the expression is
true?
- 2/2 - 1/3
The product is less than -1
The product is greater than 1
The product is a positive number
The product is less than both factors.
Answer:
dccvv
Step-by-step explanation:
cdcfcf
-13/20 - 7/5=? Its fractions.
Answer: 41/20
Step-by-step explanation:
there is a possibility that this is incorrect bb srry
You want to start a business selling lanyards to hang your mask from. You have $25 in your banking account to purchase the materials you would need to make them. After doing some research for the best deals it is going to cost you $45 to make 10 lanyards (the minimum you can make).
Answer:
If the minimum is 10 and it costs $45 for that you would be going into the negatives as $25 is less then $45 meaning : You do not have enough money to purchase something that is $45. You would need $20 more dollars. If there was no minimum you would only be able to buy 4 with a few dollars left over.
-2.49 = -5 + x
I'm confused lol please help
Answer:
See Below
Step-by-step explanation:
Isolate x, so add 5 to each side
-2.49 = -5 + x
+5.00 +5
3.49 = x
Answer:
x= 251/100
=2.51
How: -2.49=-5+x
+5 =+5
2.51=x
solve for 2(5y-1)=28
answer: x=3
you divide both side by 2
Using words, express x< 7
Answer:
X is less than seven
Step-by-step explanation:
"<" means less than, and shows that x is less than 7
What is 867.8916 to the 1/3 power
Answer:
-867.8916
Step-by-step explanation:
1 ^3= -1×867.8916
- 867.8916
Help me please thank
I don’t know know to do this... Someone please help
I’ve done this with single numbers before, but not with the equations. I’m not sure how to navigate through the problem with all of the equations and numbers....
Answer:D
Step-by-step explanation:
find the values of x and y.
Step-by-step explanation:
Hey there!!!
When you closely see in figure, we find that,
90° and (2y + 5)° are supplementary,
So, 90° + 2y +5°=180° { supplementary angle is always 180°}.
or, 2y = 180°-95°
[tex]y = \frac{85}{2} [/tex]
Therefore the measure of angle y is 42.5°.
Again, (5x-17)° + (3x - 11)° = 180° (They are linear pair).
8x - 28° = 180°
8x = 180°+28°
[tex]x = \frac{280}{8} [/tex]
Therefore the measure of angle x is 26°.
Hope it helps...
Points P and Q are plotted on a line.
1. Find a point
R so that a
180-degree
rotation with
center R
sends P to
Q and Q to
P
Answer:I think its p
Step-by-step explanation: