Determine whether the following series converges or diverges using the integral test. Be sure to verify that the integral test can be applied.
Answers
By the integral test, the series is convergent.
The sequence [tex]k^3/e^{k^4}[/tex] is clearly positive and decreasing for [tex]k\in\Bbb N[/tex]; then by the integral test,
[tex]\displaystyle \int_1^\infty \frac{x^3}{e^{x^4}} \, dx \le \sum_{k=1}^\infty \frac{k^3}{e^{k^4}}[/tex]
and
[tex]\displaystyle \int_1^\infty \frac{x^3}{e^{x^4}} \, dx = \frac14 \int_1^\infty e^{-u}\, du = \frac1{4e} < \infty[/tex]
By using the integral test, series converges
What is an integral test for convergence and divergence?
⇒ It is used to prove the divergence or convergence of series. This test is called the integral test, which compares an infinite sum to an improper integral. It is important to note that this test can only be applied when we are considering a series whose terms are all positive.
How to know if a series is converging or diverging?
If the limit exists and is a finite number (a number less than infinity), we say the integral converges. If the limit is ±∞ or does not exist, we say the integral diverges.
let aₓ= f (x) is any function
⇒ In order for the integral test to work The function must be positive it has to be continuous and it has to be decreasing when x≥1
If the integral converges it means the series is also converging
If the integral diverges it means the series is also diverging
The sequence [tex]k^{3} /{e^{k^{4} }[/tex] is clearly positive and decreases for k∈N then by the integral test,
[tex]\int\limits^\infty_1 {x^{3} /e^{x^4} dx[/tex] [tex]\leq\displaystyle \sum^{\infty}_{k = 1} {x^{3} /e^{x^{4}[/tex]
and
[tex]\int\limits^\infty_1 {x^{3} /e^{x^4} dx[/tex][tex]=1/4\int\limits^\infty_1 {x^{3} /e^{-u} du[/tex]
⇒ [tex]1/4 < \infty[/tex]
So it comes with a finite value hence the series converges
Learn more about the integral tests here :
https://brainly.com/question/15394015
#SPJ1
Related Questions
i dont know how to do this could someone help
Answers
Answer:
17, 5
Step-by-step explanation:
Let the width be x
width = x
length = x + 12
length x width = x(x + 12)
length x width = x² + 12x
x² + 12x = 85
x² + 12x - 85 = 0
Now it is just a quadratic:
The 2 numbers we need are 17 and -5
(x + 17)(x - 5) = 0
x = -17 or x = 5.
Since width and length cannot be negative, x must equal 5.
Width = 5
length = 17
The answer is 17, 5.
We are given two things :
Length exceeds width by 12 inchesArea = 85 square inchesWe can represent the length and width as x + 12 and x respectively.
Now, the formula for the area of a rectangle is :
Area = Length x width
Now, let's substitute the values for length and width in the formula along with the area.
(x + 12)(x) = 85x² + 12x = 85x² + 12x - 85 = 0We now have a quadratic equation, which can either be solved by splitting the middle term, or by using the quadratic formula. For convenience purposes, we'll go with the first one.
x² + 17x - 5x - 85 = 0x (x + 17) - 5 (x + 17) = 0(x + 17)(x - 5) = 0x = 17, 5(06.02) which of these is the algebraic expression for "seven more than the product of three and some number?" 7 3 x 3 10 ÷ x 3x 7 3 7x
Answers
Answer:
Step-by-step Explanation:
The correct option is C.
The algebraic expression for "seven more than the product of three and some number = 3x + 7 = 0
What is Algebraic Expression?An algebraic expression is one that is composed of variables, integer constants, and algebraic operations. An algebraic expression is, for instance, 3x² 2xy + c.
According to the given Information:we can search for the product of 3 and "some number",
Let the number be x.
So, the product of x is 3 times = 3x
And now
7 more then the Product .
we add the 7 to the product .
3x + 7 = 0
So the equation will be 3x + 7 = 0
To know more about algebraic expression visit:
https://brainly.com/question/8823924
#SPJ4
I understand that question you are looking for is:
Which of these is the algebraic expression for "seven more than the product of three and some number?"
A. 7 + 3 + x
B. 3 + 10 ÷ x
C. 3x + 7
D. 3 + 7x
i need help please? thank you :)
Answers
[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Here we go ~
[tex]\qquad \sf \dashrightarrow \: \cfrac{ {z}^{2} - 14z + 48 }{ {z}^{2} + 6x - 27} ÷ \cfrac{z -8}{z-3} [/tex]
[tex]\qquad \sf \dashrightarrow \: \cfrac{ {z}^{2} - 8z - 6z+ 48 }{ {z}^{2} + 9z- 3z- 27} ÷ \cfrac{z -8}{z-3} [/tex]
[tex]\qquad \sf \dashrightarrow \: \cfrac{ {z(}^{} z- 8) - 6(z - 8) }{ {z}^{} (z+ 9)- 3(z + 9)} ÷ \cfrac{z -8}{z-3} [/tex]
[tex]\qquad \sf \dashrightarrow \: \cfrac{ {(}^{} z- 8) (z - 6) }{ {}^{} (z+ 9)(z - 3)} ÷ \cfrac{z -8}{z-3} [/tex]
[tex]\qquad \sf \dashrightarrow \: \cfrac{ (z - 6) }{ {}^{} (z+ 9)}[/tex]
Break into two parts and simplify
[tex]\\ \rm\dashrightarrow \dfrac{z^2-14z+48}{z^2+6z-27}[/tex]
[tex]\\ \rm\dashrightarrow \dfrac{z^2-8z-6z+48}{z^2+9z-3z-27}[/tex]
[tex]\\ \rm\dashrightarrow \dfrac{(z-8)(z-6)}{(z+9)(z-3)}[/tex]
Now divide by the denominator
[tex]\\ \rm\dashrightarrow \dfrac{(z-8)(z-6)(z-3)}{(z+9)(z-3)(z-8)}[/tex]
[tex]\\ \rm\dashrightarrow \dfrac{z-6}{z+9}[/tex]
Which statement is most likely to be true for this distribution?
Answers
Answer:
A
Step-by-step explanation:
the means is less than the median
My street hockey team plays three games each week. My team lost all 12 games in the first four weeks. Then, my team won two games and lost one game in the fifth week, bringing our record to 2 wins and 13 losses. Each week after that, my team won two games and lost one game. My team first wins at least 50% of all its games by the end of the first n weeks. What is n?
Answers
Using proportions, it is found that the value of n is of [tex]n \geq 11[/tex].
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
On the first 15 games, the team wins 2 games and losses 13. Then, in each week, the team plays 3 games, winning 2. Then:
After n weeks, the team will have won 2 + 2n games.After n weeks, the team will have played 15 + 3n games.The proportion of wins is given as follows:
[tex]\frac{2 + 2n}{15 + 3n}[/tex]
The proportion is of at least 50%, hence:
[tex]\frac{2 + 2n}{15 + 3n} \geq 0.5[/tex]
We solve the inequality for n, similarly to how we would solve an equality, applying cross multiplication. Then:
[tex]2 + 2n \geq 7.5 + 1.5n[/tex]
[tex]0.5n \geq 5.5[/tex]
[tex]n \geq \frac{5.5}{0.5}[/tex]
[tex]n \geq 11[/tex]
The value of n is of [tex]n \geq 11[/tex].
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
When graphing the inequality y ≤ 2x − 4, the boundary line needs to be graphed first. Which graph correctly shows the boundary line? A. A linear inequalities graph of dotted boundary line intersects X-axis at the unit (2, 0) and Y-axis at the unit (0, minus 4) B. A linear graph of solid line intercepts X-axis at the unit (2, 0) and Y-axis at the unit (0, minus 4) C. A linear inequalities graph of dotted boundary line intercepts at the X-axis (0.5, 0) and Y-axis (0, 2) D. A linear graph of a solid boundary line intersects X-axis at the unit (0.5, 0) and Y-axis at the unit (0, 2)
Answers
The correct graph is in the attached image.
Answer:
B. A linear graph of solid line intercepts X-axis at the point (2, 0) and Y-axis at the point (0, -4)
Step-by-step explanation:
The boundary line of an inequality is graphed as though the expression were an equality. The nature of the line used will depend on the nature of the inequality.
Form of the lineWhen the inequality includes the "or equal to" case (≤ or ≥), the boundary line is part of the solution set. It is drawn as a solid line.
When the inequality excludes the "or equal to" case (< or >), the boundary line is not part of the solution set. It is drawn as a dotted or dashed line.
The given inequality
y ≤ 2x -4
includes the "or equal to" case, so the boundary line is solid.
Y-interceptThe equation of the boundary line is written in slope-intercept form:
y = mx +b . . . . . . . line with slope m and y-intercept b
y = 2x -4 . . . . . . . boundary line with slope 2 and y-intercept -4.
This tells you that the boundary line intercepts the y-axis at the point (0, -4).
he cashier service time at the local branch of the Rivertown bank has an exponential distribution with a mean of 2.5 minutes. What is the probability that the service time: Exceeds 3 minutes
Answers
The probability that the service time will be more than three minutes is 0.3012.
Given that the average wait time at the Rivertown bank's neighborhood branch is 2.5 minutes and has an exponential distribution,
The time it takes to succeed in a continuous sequence of independent trials is described by the exponential distribution, which is a continuous probability distribution.
At the River Town Bank's neighborhood branch, the random variable X service time has an exponential distribution with a mean value of 2.5 minutes. Therefore,
[tex]f(x)=\left\{\begin{array}{ll}\theta e^{-\theta x},& \theta \geq 0,0\leq x\leq \infty\\0&\text{otherwise}\end{array}[/tex]
E(x)=1/θ
θ=1/2.5
θ=0.4
The probability that the service time will be longer than three minutes:
[tex]\begin{aligned}P(X > 3)&=1-P(X\leq 3)\\ &=1-(1-e^{-0.4\times 3}\\ &=e^{-1.2}\\ &=0.3012\end[/tex]
Since the service duration has an exponential distribution and a mean of 2.5 minutes, the needed chance that it will exceed 3 minutes is 0.3012.
Learn more about exponential function from here brainly.com/question/18596455
#SPJ1
Prove the cofunction identity using the addition and subtraction formulas. sec 2 − u = csc(u) use a reciprocal identity, then apply a subtraction formula to simplify
Answers
Proved that the cofunction identity sec([tex]\frac{\pi }{2}[/tex]) - u = csc(u)
We have to prove that the cofunction identity using the addition and subtraction formulas.
sec([tex]\frac{\pi }{2}[/tex]) - u = csc(u)
We can prove this by using the identities given below:
[tex]sec(u)=\frac{1}{cos(u)}[/tex]
[tex]\frac{1}{sin(u)} =csc(u)[/tex]
cos(a-b) = cos a cos b + sin a sin b
Now the explanation,
[tex]sec(\frac{\pi }{2} -u) = csc(u)[/tex]
By using trignometric identities,
[tex]cos(u)=\frac{1}{sec(u)}[/tex] ∴[tex]sec(u)=\frac{1}{cos(u)}[/tex]
So,
[tex]\frac{1}{cos(\frac{\pi }{2}-u) } =csc(u)[/tex]
By substituting the given identities we get,
[tex]\frac{1}{cos(\frac{\pi }{2})cos(u)+sin(\frac{\pi }{2} )sin(u) }[/tex]
= [tex]\frac{1}{0.cos(u)+(1).sin(u)}[/tex]
=[tex]\frac{1}{sin(u)}[/tex]
= csc(u)
csc(u) = csc(u)
Here we proved that the cofunction identity sec([tex]\frac{\pi }{2}[/tex]-u) = csc(u)
Learn more about the cofunction identity here: https://brainly.com/question/17206079
#SPJ4
What is the simplest form of this expression? (x − 4)(x^2 + 3x − 5)
Answers
Answer:[tex]x^3-x^2-17x+20[/tex]
Step-by-step explanation:
The population of a town in 2007 is 113, 505
and is increasing at a rate of 1.2% per year.
What will the population be in 2012?
What number will you fill in for a to solve the
equation?
(Hint: For this one, how many years
after 2007 is 2012?
Answers
from 2007 to 2012 is only 5 years, so we can see this as a compound interest with a rate of 1.2% per annum for 5 years, so
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$113505\\ r=rate\to 1.2\%\to \frac{1.2}{100}\dotfill &0.012\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{per year, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases} \\\\\\ A=113505\left(1+\frac{0.012}{1}\right)^{1\cdot 5}\implies A=113505(1.012)^5\implies A\approx 120481[/tex]
Find the area of this parallelogram. D(-3,4) c(3,4) a(-6,-4) b(0,-4)
Answers
If the vertices of parallelogram ABCD is A(-6,-4),B(0,-4),C(3,4),D(-3,4) ,then the area of parallelogram ABCD will be 48 square units.
Given that the vertices of parallelogram ABCD is A(-6,-4),B(0,-4)
,C(3,4),D(-3,4).
We are required to find the area of parallelogram ABCD.
Let the point of intersection of height of parallelogram from point A is point E.
When we see the graph on which the parallelogram then we will be able to know that point E has coordinates of (-3,-4).
Area of parallelogram=Base*Height
=AB*DE
DE=[tex]\sqrt{(-4-4)^{2} +(-3+3)^{2} }[/tex]
=[tex]\sqrt{64}[/tex]
=8 units
AB=[tex]\sqrt{(-4+4)^{2} +(0+6)^{2} }[/tex]
=[tex]\sqrt{36}[/tex]
=6 units
Area=6*8
=48 square units.
Hence if the vertices of parallelogram ABCD is A(-6,-4),B(0,-4),C(3,4),D(-3,4) ,then the area of parallelogram ABCD will be 48 square units.
Learn more about area at https://brainly.com/question/25965491
#SPJ1
How many of the first 1000 positive integers contain only 0s and 1s when
written in base 3?
Answers
There are 105 numbers in the the first 1000 positive integers contain only 0s and 1s when written in base 3
How to determine the count of the numbers?The number base is given as:
Base 3
To determine the count of numbers, we make use of the following Python program
count = 0
for n in range(1,1001):
digits = []
while n:
digits.append(int(n % 3))
n //= 3
myStr = ''.join(map(str,digits[::-1]))
if(myStr.count('0')+myStr.count('1') == len(myStr)):
count+=1
print(count)
The above program counts the numbers in the the first 1000 positive integers contain only 0s and 1s when written in base 3
The output of the program is 105
Hence, there are 105 numbers in the the first 1000 positive integers contain only 0s and 1s when written in base 3
Read more about number base at:
https://brainly.com/question/8649831
#SPJ1
A serving of fish contains 50 g of protein and 4. 0 g of fat. How many kcal are in the serving report your answer to 2 significant figures
Answers
2 x 10² kcal are in the serving report your answer to 2 significant figures.
According to the question
A serving of fish contains 50 g of protein and 4. 0 g of fat.
i.e. content of protein = 50 g
Content of fat = 4 g
kcal are in the serving report your answer to 2 significant figures:
As the serving of fish contains 50g of protein that is 4.0kcal/g
Calories in 50 g protein = (Content of protein) × (caloric value in protein)
50g × (4.0kcal/g) = 200kcal
That means the kcal of the serving is 200kcal
In 2 significant figures: 2 x 10² kcal
Hence,
2 x 10² kcal are in the serving report your answer to 2 significant figures.
Find out more information about 2 significant figures here
https://brainly.com/question/14479076
#SPJ4
A convenience store sells two brands of orange juice Brand A contains 11 fluid once and costs
$2.31. Brand B contains 15 fluid ounces and costs $2.70.
What is the difference in cost, in dollars, per fluid ounce between the two brands of juice
Answers
Answer:
$0.03
Step-by-step explanation:
2.31/11 =.21
2.70/15 =.18
.21-.18 = .03
Each of ten tickets is marked with a different number from 1 to 10 and put in a box. if you draw a ticket from the box, what is the probability that you will draw a number greater than 3?
Answers
Answer:
7/10
Step-by-step explanation:
take 3, 2, 1 from the equation and your left with 7 numbers. Add those together you get 10. 7/10 is the probability that you will draw a number greater than 3
What is the volume of the box pictured below?
fractions 3 and 1 over 10 cubic feet
fraction 3 and 2 over 5 cubic feet
fraction 6 and 5 over 8 cubic feet
fraction 8 and 3 over 4 cubic feet
Answers
(The last answer choice)
V= L x W x H
4/5 x 3 1/8 x 3 1/2
I prefer to change these into mixed fractions first.
4/5 x 25/8 x 7/2 = 35/4, simplified to 8 3/4
Instructions: Find the missing side. Round your answer to the
nearest tenth.
x=
30
38⁰
X
Answers
The value of the missing side x is 38.40 units given the triangle is a right angled triangle with angle 38° and side opposite to the angle is 30 units. This can be obtained by using trigonometric ratios.
Find the value of the missing side:Trigonometric identities,
If in a right triangle ΔABC where A is the right angle
sin A = [tex]\frac{opposite\ side}{hypotenuse}[/tex]cos A =[tex]\frac{adjacent\ side}{hypotenuse}[/tex]tan A = [tex]\frac{opposite\ side}{adjacent\ side}[/tex]
In the question,
x is the adjacent side of the angle 38° and 30 units is the opposite side.
The ratio with opposite side and adjacent side is tan A
Therefore,
⇒ tan 38° = [tex]\frac{opposite\ side}{adjacent\ side}[/tex]
⇒ tan 38° = 30/x
⇒ x = 30/tan 38°
∵ tan 38° = 0.781285627
⇒ x = 30/0.781285627
⇒ x = 38.398249
⇒ x = 38.40
Hence the value of the missing side x is 38.40 units given the triangle is a right angled triangle with angle 38° and side opposite to the angle is 30 units.
Learn more about trigonometric ratios here:
brainly.com/question/23130410
#SPJ1
The height of the pyramid in the diagram is three times the radius of the cone. The base area of the pyramid is the same as the base area of the
cone. What is the expression for the volume of the pyramid in terms of the radius of the cone?
OA V=²²
OB. V-2²
V=
OC V=2²2²
OD. V-²³
OE V-3²³
base area = B
base area B
Answers
The expression for the volume of the pyramid in terms of the radius of the cone is [tex]V=\pi r^{3}[/tex].
What is the pyramid?A pyramid is a structure that substantially resembles a pyramid in the geometric sense when its exterior surfaces are triangular and converge to a single step at the summit. A pyramid foundation might be triangular, quadrilateral, or any other type of polygon. A pyramid therefore has a minimum of three exterior triangular surfaces.The numerous forms of pyramids are categorized based on the base's shape. Let's now go over each sort of pyramid shape individually.It is thought that one of many ramp possibilities was made to drag the stones to the top as they were built higher after being transported across the desert.The expression for the volume of the pyramid in terms of the radius of the cone:
B= base area of the cone.
[tex]V=\pi r^{2}[/tex]
The volume of the Pyramid,
[tex]V=\frac{1}{3} *B*height[/tex]
[tex]$\Rightarrow V=\frac{1}{3} \times \pi r^{2} \times 3 \gamma$[/tex]
[tex]V=\pi r^{3}[/tex]
The expression for the volume of the pyramid in terms of the radius of the cone is [tex]V=\pi r^{3}[/tex]
To learn more about Pyramid, refer to:
https://brainly.com/question/218706
#SPJ9
Choose the expression that represents a cubic expression. 2x 11 −3x2 − 2x 11 4x3 − 3x2 − 2x 11 5x4 4x3 − 3x2 − 2x 11
Answers
(C) [tex]8x^{3} -7x^{2} -6x+5[/tex] represents a cubic expression.
What is a cubic expression?A cubic polynomial has the generic form [tex]p(x): ax^{3} +bx^{2} +cx+d[/tex], a 0, where a, b, and c are coefficients and d is the constant, all of which are real integers. A cubic equation is one that involves a cubic polynomial.To determine which expression represents a cubic expression:
[tex]8x^{3} -7x^{2} -6x+5[/tex] is a cubic expression.The variable is x. [tex]8x^{3} -7x^{2} -6x+5[/tex] : The variable x has the highest power as 3. [tex]8x^{3} -7x^{2} -6x+5[/tex] is a polynomial.[tex]-7x+4[/tex] is a linear expression because the highest power of the variable x is 1.[tex]7x^{2} -5x+6[/tex] is a quadratic expression because the highest power of the variable x is 2.[tex]9x^{4} +8x^{3} -6x^{2} -2x+11[/tex] is a polynomial with the highest power of the variable being 4.Therefore, (C) [tex]8x^{3} -7x^{2} -6x+5[/tex] represents a cubic expression.
Know more about a cubic expression here:
https://brainly.com/question/27973261
#SPJ4
The complete question is given below:
Choose the expression that represents a cubic expression.
(A) −7x + 14
(B) 7x2 − 5x + 6
(C) 8x3 − 7x2 − 6x + 5
(D) 9x4 + 8x3 − 6x2 − 2x + 11
An experiment consists of drawing 1 card from a standard 52 card deck. let e be the event that the card drawn is a red card. find p(e)
Answers
The probability of drawing a red card from a standard deck of cards is 1/2.
Given that there is a standard deck of cards.
We are required to find the probability of drawing a rd card from a standard deck of cards.
Probability is the calculation of chance of happening an event among all the events possible. It lies between 0 and 1. It cannot be negative.
Probability=Number of items/Total items.
Total number of cards=52
Number of red cards =26
Number of black cards=26
Probability of drawing a red card =Number of red cards/ Total cards.
=26/52
=1/2
Hence the probability of drawing a red card from a standard deck of cards is 1/2.
Learn more about probability at https://brainly.com/question/24756209
#SPJ4
If B = { p : p is a factor of 12 } list the elements of this set and find n ( B )
Answers
Answer:
B={1,2,3,4,6and12}
n (B) =6
Step-by-step explanation:
Greetings !Factor, in mathematics, a number or algebraic expression that divides another number or expression evenly—i.e., with no remainder. For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly. The other factors of 12 are 1, 2, 4, and 12.
Hope it helps!
q=mc(T₂-T₁)
Solve for T₂
Answers
T2 = (q/mc) + T1
A parabola can be represented by the equation y2 = 12x. which equation represents the directrix?
Answers
The equation of the directrix is x = -3
What is Parabola?A mirror-symmetrical, roughly U-shaped plane curve known as a parabola. It corresponds to a number of mathematical models that appear to be superficially dissimilar but yet all define the exact same curves. A point and a line are one way to describe a parabola.
According to the given information:Given the general equation of a parabola expressed as
(y-y0)² = 4a(x-x0) ... 1
Equation of the directrix will be expressed as x = x0 - a
From the equation given;
y² = 12x ... 2
Comparing 1 and 2;
x - x0 = x
-x0 = x - x
-x0 = 0
x0 = 0
Similarly;
y-y0 = y
-y0 = y - y
-y0 = 0
y0 = 0
Also;
4a = 12
a = 12/4
a = 3
Substituting x0 =0, y0 = 0 and a = 3 into the equation of the directrix above, we will have;
x = x0 - a
x = 0 - 3
x = -3
Hence,
the equation of the directrix is x = -3
To know more about Parabola visit:
https://brainly.com/question/21685473
#SPJ4
Sloane kicked a soccer ball off the ground at a speed of 48 feet per second. The height of the ball can be represented by the function H(t) = −16t2 + 48t, where t is the time in seconds. How many seconds did the ball travel before returning the ground?
Answers
If the speed of the ball after kicking is 48 feet per second then the ball will return on the ground after 3 seconds.
Given that the speed of the ball after kicking is 48 feet per second and the function that represents the height of the ball is [tex]-16t^{2} +48t[/tex].
We are required to find the time that the ball took to travel before returning the ground.
We know that speed is the distance a thing covers in a particular time period.
The height of the ball after t seconds is as follows:
h(t)=[tex]-16t^{2} +48t[/tex]
It is at ground at the instants of t.
Hence,
[tex]-16t^{2} +48t[/tex]=0
-16t(t-3)=0
We want value of t different of 0, hence :
t-3=0
t=3.
Hence if the speed of the ball after kicking is 48 feet per second then the ball will return on the ground after 3 seconds.
Learn more about speed at https://brainly.com/question/4931057
#SPJ1
Answer:
B. t=3
Step-by-step explanation:
i took the test and got it right
How long can it take for the body to process the alcohol in one standard drink (0. 6 ounces)? 2 hours 1. 5 hours 1 hour 30 minutes
Answers
Answer:
1 hour
Step-by-step explanation:
HELP ME ASAP
20 points !!!
Answers
The most often numbers are:
20 and 16
Reason:
20 is shown 3 times.
16 is shown 3 times.
19 is shown 2 times.
18 is shown once.
So, the two most occurring/often numbers are 20 and 16.
Give this answer Brainliest!
HELPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
The answer is 314
Step-by-step explanation:
You need to do
3.14(pie) times the radius times the height divided by 3
Answer:
C. 314 [tex]in^{3}[/tex]
Step-by-step explanation:
The volume of a cone is: 1/3[tex]\pi[/tex][tex]r^{2}[/tex]h'
1/3 x 3.14 x [tex]5^{2}[/tex] x 12
1/3 x 3.14 x 25 x 12
1/3 x 3.14 x 300
100 x 3.14
V = 314
(FIRST PERSON TO ANSWER GETS BRAINLIEST!!!) A student earned $2500.75 at his summer job making $12.50 per hour. Let h represent the number of hours the student worked. Which of the following equations could be used to determine how many hours the student worked at his summer job? (answer choices and question is below)
Answers
Answer:
[tex]12.50 \space\ h = 2500.75[/tex]
Step-by-step explanation:
We know from the question that the student earned $12.50 per hour.
Using this information, we can say that if the student worked for h hours, they would make a total of 12.50 × h dollars.
We also know that the total money they earned is $2500.75.
∴ Therefore, we can set up the following equation:
[tex]\boxed {12.50 \times h = 2500.75}[/tex]
From here, if we want to, we can find the number of hours worked by simply making h the subject of the equation and evaluating:
h = [tex]\frac{2500.75}{12.50}[/tex]
= 200.6 hours
Answer: 12.50h = 2500.75
Step-by-step explanation:
We know from the question that the student earned $12.50 per hour.
Using this information, we can say that if the student worked for h hours, they would make a total of 12.50 × h dollars.
We also know that the total money they earned is $2500.75.
Three friends decide to go out to eat, and then go shopping. if there are 5 local restaurants and 4 good stores for shopping, how many possibilities are there for their big night out
Answers
Using the Fundamental Counting Theorem, there are 20 possibilities for their big night out.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
For this problem, we have that:
There are 5 restaurants, hence [tex]n_1 = 5[/tex].There are 4 stores, hence [tex]n_2 = 4[/tex].The number of possibilities is given by:
N = 5 x 4 = 20.
More can be learned about the Fundamental Counting Theorem at https://brainly.com/question/24314866
#SPJ1
Pls answer both the question its urgent
Answers
Answer:
not sure but I think it is this