Answer:
1) ∫ x² e^(x) dx
4) ∫ x cos(x) dx
Step-by-step explanation:
To solve this problem, eliminate the choices that can be solved by substitution.
In the second problem, we can say u = x², and du = 2x dx.
∫ x cos(x²) dx = ∫ ½ cos(u) du
In the third problem, we can say u = x², and du = 2x dx.
∫ x e^(x²) dx = ∫ ½ e^(u) du
State the domain and range and determine if its a function?
Crude oil imports to one country from another for 2009–2013 could be approximated by the following model where t is time in years since the start of 2000. I(t) = −33t2 + 800t − 3,000 thousand barrels per day (9 ≤ t ≤ 13) According to the model, approximately when were oil imports to the country greatest?
Answer:
Import in 2012 was the greatest
Step-by-step explanation:
Given
l(t) = -33t² + 800t - 3000
9 ≤ t ≤ 13
Required
Determine the year with highest import.
To do this we simply substitute the values of t from 9 to 13 in the given function.
When t = 9
l(t) = -33t² + 800t - 3000
l(9) = -33 * 9² + 800 * 9 - 3000
l(9) = -33 * 81 + 800 * 9 - 3000
l(9) = -2673 + 7200 -3000
l(9) = 1527
When t = 10
l(10) = -33 * 10² + 800 * 10 - 3000
l(10) = -33 * 100 + 800 * 10 - 3000
l(10) = -3300 + 8000 - 3000
l(10) = 1700
When t = 11
l(11) = -33 * 11² + 800 * 11 - 3000
l(11) = -33 * 121 + 800 * 11 - 3000
l(11) = -3993 + 8800 - 3000
l(11) = 1807
When t = 12
l(12) = -33 * 12² + 800 * 12 - 3000
l(12) = -33 * 144 + 800 * 12 - 3000
l(12) = -4752 + 9600 - 3000
l(12) = 1848
When t = 13
l(13) = -33 * 13² + 800 * 13 - 3000
l(13) = -33 * 169 + 800 * 13 - 3000
l(13) = -5577 + 10400 - 3000
l(13) = 1823
Comparing the values of l(t) for the range of t = 9 to 13,
The highest value of l(t) is:
l(12) = 1848
Hence, the year with the highest import is 2012
The oil imports to the country are greatest during the year 2012
Given the model where t is time in years since the start of 2000 expressed as I(t) = −33t² + 800t − 3,000
The oil imports more oil during the year 2012, is t = 12
I(12) = −33(12)² + 800(12) − 3,000
I(12) = -33(144) + 9600 - 3000
I(12) = -4752 + 6600
I(12) = 1848
Hence the oil imports to the country are greatest during the year 2012
Learn more on functions here: https://brainly.com/question/17192405
Which term best describes a figure formed by three segments connecting
three noncolinear points?
A. Angle
B. Obtuse
C. Vertex
D. Triangle
Answer:
The term that best describes a figure formed by three segments connecting three non-collinear points is:
Triangle.
Step-by-step explanation:
Step-by-step explanation:
We know that with the help of just one point we can't form any figure.
With the help of two points a line segment can be formed.
And with the help of three points if the three points are collinear a triangle can be formed.
Hence, the term that best describes a figure formed by three segments connecting three non-collinear points is:
Triangle.
what is f(0) ?
12 only
2 and 3 only
-2 , -1, 1 and 2 only
-2,-1, 1, 2 and 12
plzzzz help
Answer: it's 12 only
Step-by-step explanation:
Define alternate interior angles
10 blue marbles, 3 white marbles, 15 violet marbles, and 5 green marbles, ratio of white marbles to green marbles?
Answer:
3:5
Step-by-step explanation:
10 Blue Marbles
3 white marbles
15 violet marbles
5 green marbles
Ratio: white to green marbles
ratio symbol ":"
3 White & 5 Green
Answer: 3:5
Hope this helps :) !!!
Name 4 noncoplanar points.
Answer:
RPVN
Step-by-step explanation:BRBR
[(2+5)2]3
————-
(3+4)4
distance between -6.5 and 5.25
Answer:
11.75
Step-by-step explanation:
The retail inventory value of an item is the item's retail price times the quantity in stock. If a pack of cookies' retail price is $2.98 and there are 9 items in inventory, what is the total retail value?
Answer:
$26.82
Step-by-step explanation:
9 * 2.98 = 26.82
pls mark brainliest, thanks :)
I want to know-24 divided by -4
Answer: 6
Step-by-step explanation: -24/-4 = 6.
the answer is: 6
explanation: ...
~ BRAINLIEST ~ ~ BRAINLIEST ~ ~ BRAINLIEST ~ ~ BRAINLIEST ~
Answer:
THe answer is 13
Step-by-step explanation:
Answer:
its the second one 13
Step-by-step explanation:
what is the smallest number that rounds to 30,000 why
Answer:
25000
Step-by-step explanation:
Because you round in thousands since the 5 is in the thousandths place.
4. Kamau wants to get change for a sh 1000 note. The change
is to consist of sh 500, sh 200, sh 100 and sh 50 notes
What is the smallest number of notes he can get?
[2003 No.
A. 4
B.
c.6
D.2
Answer:
2 notes
Step-by-step explanation:
500+500=1000/=
Kamau needs 2 notes
if jessie had 3 feet of string and maxine had 34 inches of string, who had more string
Answer:
Jessie
Step-by-step explanation:
12 inches = 1 foot
Jessie has 3 feet of string. So, multiply 12 by 3.
12 × 3 = 36 inches
36 inches is greater than 34 inches. So, Jessie has more string.
Hope that helps.
When your high school math teacher says “math” what’s first reaction ?
bob removed 24 fish for his pond over a period of 8 days. He removed the same number of fish each day what was the change in the pond each day
Answer:3
Step-by-step explanation:
24 fish divided by 8 days = 3 fish per day.
Which statement best explains why Ben uses the same width to draw arcs from A and B which intersect at S?
Answer:<AQS BQS WHEN AS =BS AND AQ = BQ
Step-by-step explanation:
Answer: AQS BQS WHEN AS =BS AND AQ = BQ
Step-by-step explanation:
Took the test!
Factor mn+7n−m−7 by grouping.
Answer:
[tex]\left(m+7\right)\left(n-1\right)[/tex]
Step-by-step explanation:
[tex]mn+7n-m-7[/tex]
[tex]\left(mn+7n\right)+\left(-m-7\right)[/tex]
[tex]n\left(m+7\right)-1\left(m+7\right)[/tex]
[tex]\left(m+7\right)\left(n-1\right)[/tex]
The factors of given polynomial is (m+7)(n-1).
What is factorization?The factorization method uses basic factorization formula to reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable, or an algebraic expression itself.
The given polynomial is mn+7n-m-7.
By grouping method we can factorize the given polynomial
Here, (mn+7n)-m-7
= n(m+7)-1(m+7)
= (m+7)(n-1)
Therefore, the factors of given polynomial is (m+7)(n-1).
To learn more about the factorization visit:
https://brainly.com/question/26923098.
#SPJ2
2. Mr. Kim's rectangular garden is four times as long as it is wide. He is going to enlarge it
by extending cach side 7 feet.
a. Represent the length and width of the original garden using an appropriate variable.
Width:
W.4
w
Length:
b. Using the same variable, represent the perimeter of Mr. Kim's garden after it is
enlarged
Perimeter:
Answer:
P = 10W + 28
Step-by-step explanation:
Let L be the original length of the garden
W be the original width of the garden
If Mr. Kim's rectangular garden is four times as long as it is wide, then L = 4W
If he is going to enlarge it by extending each side 7 feet, then;
The new length l = (4W + 7) feet
The new width will be w =(W+7) feet
Perimeter of the rectangular gerden P = 2(l+w)
l and w are the new length and width
Substituting l = 4W+7 and w = W+7 into the formula;
P = 2(4W+7+W+7)
P = 2(5W+14)
open the parenthesis
P = 10W + 28
Hence the perimeter of Mr. Kim's garden after it is enlarged is given by the expression P = 10W + 28
1. Joanne's waitressing job gave her a raise of $2 per hour. The first day on her new
wage, she worked half of a full a workday and made $36 (not including tips).
Answer:
What exactly is the question?
On the first day on Joanne's new wage, she worked for 18 hours.
Given that, Joanne's waitressing job gave her a raise of $2 per hour.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
The first day on her new wage, she worked half of a full a workday and made $36.
Number of hours she worked = Total money she made/Money paid per hour
= 36/2
= 18 hours
Therefore, on the first day on Joanne's new wage, she worked for 18 hours.
To learn more about the unitary method visit:
brainly.com/question/22056199.
#SPJ2
make 2 2/5% a fraction in simplest form
Answer: 3/125
Step-by-step explanation:
Answer:
24/1000
Step-by-step explanation:
Step 1:
2 2/5% = 2.4%
Step 2:
2.4% = 0.024
Step 3:
0.024 = 24/1000
Answer:
24/1000
Hope This Helps :)
What is the solution?
Answer:
1)x=13-15 => x=-2
2)-6x=-30 => x=5
3)x/4=18 => x=72
4)x-2=-11 => x=9
Step-by-step explanation:
SOMEONE HELP WHAT IS THE ANSWER TO THESE QUESTIONS PLEASE HELP
There is a harvest festival each year on the planet Bozone. During that time, most of the Bozone residents sit down to rejoice and eat roast snig. Past history shows that a reasonable price-demand equation is: p = 300 − 18 x where x is the number of kilograms of snig sold, and p is the price per kilogram of snig in the local currency, the Boat. a . To sell an additional kilogram of snig, how much does the price need to decrease
Answer:
The price would be decreased by 18 bozats
Step-by-step explanation:
The following information is given in the question
x = number of kilograms of snig sold
P = Price per kilogram
And, the equation is
p = 300 - 18x
Now if an extra kilogram is sold so it should be x+1
Now the new price is
New price = 300 - 18(x + 1)
= 300 - 18x - 18
Therefore the price would be decreased by 18 bozats
Given that:
Price-demand equation is
[tex]p=300-18x[/tex]
where, x is the number of kilograms of snig sold, and p is the price per kilogram of snig in the local currency, the Boat.
To find:
The price which needs to decrease to sell an additional kilogram of snig,
Solution:
We have,
[tex]p=300-18x[/tex]
If x=1, then
[tex]p=300-18(1)[/tex]
[tex]p=300-18[/tex]
[tex]p=282[/tex]
It means, the price is 282 if 1 kg of snig sold.
Similarly,
If x=2, then
[tex]p=300-18(2)[/tex]
[tex]p=300-36[/tex]
[tex]p=264[/tex]
It means, the price is 264 if 2 kg of snig sold.
Change in price if sales increased by 1 kg is
[tex]264-282=-18[/tex]
Here, negative sign means decrease in price.
Therefore, the price needs to decrease by 18 to sell an additional kilogram of snig.
PLZZZ HELP WILL GIVE BRAINLIST PLZZZ I REALLY NEED HELP At a store, customers are randomly selected to participate in a survey. On Friday, there were 500 customers at the store. Of those, 90 were selected to participate in the survey. On Saturday, the store manager expects 700 customers in the store. If the probability of being selected to participate in the survey on Saturday is the same as it was on Friday, how many customers will be selected to participate in the survey on Saturday? Show all of your work
Answer:
126
Step-by-step explanation:
90 / 500 = 0.18 = 18% probability.
So now what is 18% of 700?
0.18 * 700 = 126
The frequency table shows the results of tossing a number cube 50 times. Which statement
is reasonable, based on the data?
Answer:
Option (1) is the correct option.
Step-by-step explanation:
From the given frequency table,
Option (1).
Tossing an even number is more likely than tossing an odd number.
Frequencies of tossing even numbers 2, 4, 6 = 10, 10, 9
Frequencies of tossing odd numbers 1, 3, 5 = 8, 6, 7
Which shows frequencies of tossing even numbers are more.
Therefore, Option (1) is correct.
Option (2)
The number 2 will be the next number tossed.
Since it is unpredictable, therefore, this option is incorrect.
Option (3)
Number 4 is half as likely to be tossed as the number 3.
Frequency of tossing number 3 = 6
Frequency of tossing 4 = 10
Frequency of tossing 3 is not the half of tossing 4.
Therefore, Option (3) is incorrect.
Option (4)
Probability of tossing the number 2 = [tex]\frac{\text{Frequency of tossing 2}}{\text{Total frequency}}[/tex]
= [tex]\frac{10}{8+10+6+10+7+9}[/tex]
= [tex]\frac{10}{50}[/tex]
= [tex]\frac{1}{5}[/tex]
Therefore, option (4) is incorrect.
What is the value of x?
Answer/Step-by-step explanation:
well, first figure out how many units/times prism A was enlarged to become prism B...
16 ÷ 2 = 8
Now if we apply that info to the length of the prism, then...
80 ÷ 8 = 10
Therefore x = 10
And the Prisms remain congruent and proportional!
Hope this helps!Please mark Brainliest!!! =DCalculate The mode of this set of numbers 2,5,1,6,3,8,5,9,2,4,7
what is the area of this triangle? and can you give me the equation on how to solve it? thank you!