Answer:
a
Since the integral has an infinite discontinuity, it is a Type 2 improper integral
b
Since the integral has an infinite interval of integration, it is a Type 1 improper integral
c
Since the integral has an infinite interval of integration, it is a Type 1 improper integral
d
Since the integral has an infinite discontinuity, it is a Type 2 improper integral
Step-by-step explanation:
Considering a
[tex]\int\limits^4_3 {\frac{x}{x- 3} } \, dx[/tex]
Looking at this we that at x = 3 this integral will be infinitely discontinuous
Considering b
[tex]\int\limits^{\infty}_0 {\frac{1}{1 + x^3} } \, dx[/tex]
Looking at this integral we see that the interval is between [tex]0 \ and \ \infty[/tex] which means that the integral has an infinite interval of integration , hence it is a Type 1 improper integral
Considering c
[tex]\int\limits^{\infty}_{- \infty} {x^2 e^{-x^2}} \, dx[/tex]
Looking at this integral we see that the interval is between [tex]-\infty \ and \ \infty[/tex] which means that the integral has an infinite interval of integration , hence it is a Type 1 improper integral
Considering d
[tex]\int\limits^{\frac{\pi}{4} }_0 {cot (x)} \, dx[/tex]
Looking at the integral we see that at x = 0 cot (0) will be infinity hence the integral has an infinite discontinuity , so it is a Type 2 improper integral
which subsequent true/false statement is true?
Answer:
True is corect
Step-by-step explanation:
true = true
Last week Isaiah and his roommates ate 3/8 of a carton of yogurt, and this week they ate
7/12 of a carton. How much more yogurt did they eat this week compared to last week?
Answer: 5/24
Step-by-step explanation:
The problem is 7/12-3/8. I got a common denominator of 24, then multipled 8 and 3 by 3, and 7 and 12 by 2. The problem is now 14/25-9/24, which equals 5/24
Find the slope of a pipe that slopes down 1/3 inch per foot
Answer:
-1/36
Step-by-step explanation:
The slope is of [tex]\mathbf{-\frac{1}{3}}[/tex]
----------------------
We use a linear function to understand this question, which has equation given by:
[tex]y = mx + b[/tex]
The slope is m, which is the rate of change, that is, how much y changes when x changes by 1.In this problem, for each foot, the pipe slopes down [tex]\frac{1}{3}[/tex] of an inch. Thus, the slope is [tex]m = -\frac{1}{3}[/tex]A similar problem is given at https://brainly.com/question/18594541
Fabio is driving west away from Albany and towards Buffalo along Interstate 90 at a constant rate of speed
of 62 miles per hour. After driving for 1.5 hours, Fabio is 221 miles from Albany.
Answer:
a) ( D - 128 ) = m ( 1,5 - 0)
b) D = 62*h + 128
Step-by-step explanation:
Fabio drives at a constant speed of 62 miles per hour therefore:
62 * 1,5 = 93 miles
But he is 221 miles away from Albany, then he started
221 - 93 = 128 miles from Albany
In a coordinates system D (distance in the y-axis ), and h ( hours in x-axis), we have two points
h₁ = 0 (h) D (y intercept) = 128 miles and h = 1,5 (h) D = 221 miles
P₁ ( 0 , 128 ) P₂ ( 1,5 , 221 )
Then the equation for straight-line passing through two points is:
m = ( D - D₁ ) / ( h - h₁ )
( D - D₁ ) = m ( h - h₁ )
a) ( D - 128 ) = m ( 1,5 - 0)
And
b) m = 93/ 1,5
m = 62
And
b) D = mh + b
D = mh + D₁
D = 62*h + 128
a)
The equation is:
[tex]D - 221 = 62(h - 1.5)[/tex]
b) Initially, he was 128 miles away from Albany.
Item a:
Fabio is traveling from Albany to Buffalo, and his distance D from Albany after h hours is modeled by a linear function in the following format:
[tex]D - D_1 = m(h - h_1)[/tex]
We have that:
Velocity of 62 miles per hour, thus the slope is [tex]m = 62[/tex].After 1.5 hours, he is 221 miles away from Albany, thus the point is [tex]h_1 = 1.5, D_1 = 221[/tex].The equation is:
[tex]D - D_1 = m(h - h_1)[/tex]
[tex]D - 221 = 62(h - 1.5)[/tex]
Item b:
The initial distance is D when h = 0, so:[tex]D - 221 = 62(0 - 1.5)[/tex]
[tex]D = -1.5(62) + 221[/tex]
[tex]D = 128[/tex]
Initially, he was 128 miles away from Albany.
A similar problem is given at https://brainly.com/question/16302622
What is the mode of the following data values?
54, 78, 16, 26, 16
O A. 26
O B. 38
O C. 16
O D. 48
Answer: C. 16
Step-by-step explanation:
The mode represents the most frequently occurring value in a data set. A data set may have more than one mode. It is one of the measures of central tendency.
Answer:
C
Step-by-step explanation:
because in the given data the number which is 16 is repeated twice so it means it is the mode. Because when we say mode it is the most used number im the given date
I think #1 is wrong but i can't figure it out
Answer:
the mistake is x and y x is 6 and y is 4 so it would be 5x6 and 4^2 divide by 2
Step-by-step explanation:
the right one is 5x-y^2 divide 2
5x6-4^2 divide 2
5x6-16 divide 2
30-8
22
If 999 is divided by 4, what is the remainder?
Answer The remainder Is 3
4 gallons of chocolate milk how many bottles if 2 pints per bottle.
Answer:
there are 32 bottles needed
Step-by-step explanation:
Thanks
You have 90 oz of egg noodles. You need 5 oz to make one serving of chicken noodle soup. How many servings can you make?
Answer: 450 oz
Step-by-step explanation: multiply
Answer:
You can make 18 servings.
Step-by-step explanation:
what is the reciprocal of 5 3/7
Answer: 7/38
Step-by-step explanation:
So first you have to take the mixed number out of it mixed number form by multiplying 7 x 5 and then adding 3 giving you 38/7(you keep the denominator the same. Then you flip the fraction giving you 7/38.:)
Hope this helps!
Jayden is saving money to buy the new Jordan 11's. He
needs $220 to get them. He already has $60 saved and
he makes $20 a week doing chores around the house
Answer:
it will take Jayden 8 weeks to save money for the Jordan 11's
Step-by-step explanation:
$60 = 3 weeks
$220 = 11 weeks
subtract the three weeks from the amount of time it would take without the saved money
$220 = 8 weeks
or
subtract saved amount from total = $160 and divide by 20
Jill bought a house for $250,000. The expected depreciation of a house is 18% a year. When will her
house be worth $200,000?
Answer is 1 year 1 month and 5 days
Factorise 4x^2+28x^3
Solve the equation because I really need help
Answer:
No Solution
Step-by-step explanation:
P.E.M.D.A.S
4(x+5) = 21 + 4x
4x+20 = 21+4x
we would subtract 4 on both sides to isolate 4 by it self.
subtract 4x on both sides but when we do we get 0 for x
4x-4x + 40 = 21 + 4x-4x
we get 40 = 21
So our answer is no Solution or unless your just tryning to find out that the total is with out x 40 = 21
high hopes ^^
Barry
How to estimate 5x179
Answer:
895
Step-by-step explanation:
if u need to estimate, multiple 5 by 180, and then subtract 5
Consider the table representing an exponential function.
The equation for this function is
f(x) =
Answer:
Its 8, and 0.5
Step-by-step explanation:
At which value in the domain does f(x) = 0?
X=-3
X=0
X=1
X=4
This table gives a few (x, y) pairs of a line in the coordinate plane. What is the x-intercept of the line?
Answer:
x=-14
Step-by-step explanation:
The x-intercept of a line is the value of x that makes y=0.
A line can be expressed in its slope-intercept form:
y=mx+b
Once determined the equation of the line, the x-intercept can be calculated by setting y=0 and solving for x.
Let's find the slope of the line.
Suppose we know the line passes through two points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let's pick the first two points of the table (-94,24) (-74,18). The slope is:
[tex]\displaystyle m=\frac{18-24}{-74+94}=\frac{-6}{20}=-\frac{3}{10}[/tex]
The equation of the line is:
[tex]\displaystyle y=-\frac{3}{10}x+b[/tex]
Now use one of the points to find b, for example (-94,24):
[tex]\displaystyle 24=-\frac{3}{10}\cdot (-94)+b[/tex]
Operating:
[tex]\displaystyle 24=\frac{141}{5}+b[/tex]
Solving:
[tex]b=24-\frac{141}{5}=-\frac{21}{5}[/tex]
The complete equation of the line is:
[tex]\displaystyle y=-\frac{3}{10}x-\frac{21}{5}[/tex]
To find the x-incercept, set y=0 and solve:
[tex]\displaystyle 0=-\frac{3}{10}x-\frac{21}{5}[/tex]
[tex]\displaystyle x=\frac{\frac{21}{5}}{-\frac{3}{10}}=-\frac{21}{5}\cdot \frac{10}{3}[/tex]
x=-14
how much babysitting will i have to do if i make 5.50 an hour and the dress i want is 52.25 math Using double number line
Answer:
9,5 hrs
Step-by-step explanation:
Year 6 maths question
Select all of the ratios that are equivalent to 8:6
Answer: 3:2 and also 4:3
Step-by-step explanation:
Answer:
4:316:1224:1832:2440:3048:3656:4264:4872:5480:6088:6696:72Hope this helps :)
PLEASE HELP MEE!!!
If the total distance of Claire and Grace’s javelin throw is greater than 82.5 feet, then the seventh graders earn 50 points. If not, the eighth graders earn 50 points. Which grade should be awarded 50 points?
Answer:
eighth graders
Step-by-step explanation:
Answer:eighth
Step-by-step explanation:
which expert is an example of indirect characterization
Answer:
Juana pretended to be sick so that she wouldn't have to go to school.
Step-by-step explanation:
Which excerpt is an example of indirect characterization?
-Jett was a kind boy who was always willing to help anyone in need.
-Mariana was a chatterbox and could talk for hours about any subject.
-Juana pretended to be sick so that she would not have to go to school.
-Lamar was jealous of his older brother Omar, who was a skilled soccer player. NextReset
ZA and B are complementary angles. If mA = (6x + 22)° and m
ZB = (7x + 16)°, then find the measure of ZB.
Help! Please. I don’t know what I did wrong.
Answer:
1320, permutation
Step-by-step explanation:
There are 12 members
Pick a president
We have 12 choices
Now there are 11 people left to pick from
now pick a vp
We have 11 choices
Now there are 10 people left to pick from
now pick a secretary
We have 10 choices
12*11*10 = 1320
This is a permutation since it matters who is president, vp and secretary
1
The weight of water is 62-
2
lb per cubic foot. Water that weighs 275 lb will fill how many cubic fe
Water that weighs 275 lb will fill cubic feet.
Answer:
it will fill alot :)
Step-by-step explanation:
#(28282!#+#82(!29192)2!2(2(:)))))))
What is the standard form of the number shown in this calculator display?
The calculator shows five point nine three e negative five
Answer:
The standard form of the number shown in the calculator display as 1.46e-6 = 1.46 X 10^-6 = 0.00000146.
Step-by-step explanation:
hope this helped ✨
Can someone help me please
Answer:
The ratio is 6
Use a factor tree to write the prime factorization of 80.
Put is in order least to greatest. -13/6, -2.1, -26/13, -9/4
Answer:
-9/4, -13/6,-2.1,-26/13
Answer:
-26/13, -13/6, -2.1, -9/4
Step-by-step explanation:
Sorry its from greatest to least