9514 1404 393
Answer:
$2.50
Step-by-step explanation:
The question asks for the total cost of a notebook and pen together. We don't need to find their individual costs in order to answer the question.
Sometimes we get bored solving systems of equations in the usual ways. For this question, let's try this.
The first equation has one more notebook than pens. The second equation has 4 more notebooks than pens. If we subtract 4 times the first equation from the second, we should have equal numbers of notebooks and pens.
(8n +4p) -4(3n +2p) = (16.00) -4(6.50)
-4n -4p = -10.00 . . . . . . . . . . . simplify
n + p = -10.00/-4 = 2.50 . . . . divide by the coefficient of (n+p)
The total cost for one notebook and one pen is $2.50.
__
Additional comment
The first equation has 1 more notebook than 2 (n+p) combinations, telling us that a notebook costs $6.50 -2(2.50) = $1.50. Then the pen is $2.50 -1.50 = $1.00.
One could solve for the costs of a notebook (n) and a pen (p) individually, then add them together to answer the question. We judge that to be more work.
Find the following trigonometric Fourier Series:
(a) Extend the definition of f(x) to make it an even function f*(x),
[tex]f^*(x)=\begin{cases}0&\text{if }-2\le x<-1\\1&\text{if }0\le x\le1\\0&\text{if }1<x\le2\end{cases}[/tex]
and we take f* to be periodic over an interval of length P = 4. We compute the coefficients of the cosine series:
[tex]a_n = \displaystyle\frac2P \int_{-2}^2 f^*(x)\cos\left(\frac{2n\pi}Px\right)\,\mathrm dx = \frac{2\sin\left(\frac{n\pi}2\right)}{n\pi}[/tex]
Note that a₀ = 1 (you can compute the integral again without the cosine, or just take the limit as n -> 0). For all other even integers n, the numerator vanishes, so we split off the odd case for n = 2k - 1 :
[tex]a_{2k-1} = \dfrac{2\sin\left(\frac{(2k-1)\pi}2\right)}{(2k-1)\pi}[/tex]
Then the cosine series of f(x) is
[tex]\displaystyle \frac{a_0}2 + \sum_{k=1}^\infty a_{2k-1}\cos\left(\frac{(2k-1)\pi}2x\right)[/tex]
(b) For the sine series, you instead extend f(x) to an odd function f*(x),
[tex]f^*(x)=\begin{cases}-1&\text{if }-2\le x\le-1\\x&\text{if }-1<x<1\\1&\text{if }1\le x\le2\end{cases}[/tex]
Again, P = 4, and the coefficient of the sine series are given by
[tex]b_n = \displaystyle\frac2P\int_{-2}^2f^*(x)\sin\left(\frac{2n\pi}Px\right)\,\mathrm dx[/tex]
which we can again split into the even/odd cases,
[tex]b_{2k} = -\dfrac1{k\pi}[/tex]
[tex]b_{2k-1} = \dfrac{4(-1)^{k+1}+2(2k-1)\pi}{(2k-1)^2\pi^2}[/tex]
So the sine series is
[tex]\displaystyle \sum_{k=1}^\infty\left(b_{2k}\sin\left(k\pi x\right) + b_{2k-1}\sin\left(\frac{(2k-1)\pi}2x\right)\right)[/tex]
I've attached plots of the extended versions of f(x) along with the corresponding series up to degree 4.
someone plzz help mee!!!!
Answer:
-4 is the opposite of -1/4
BODMAS QUESTIONS
10-4×0+3÷3
Answer: 11
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
help plssssssssssssssssss
Find P (Horse Female) Hint: P(A and B)
P(B)
Animals on Farm
Male. Female
Cow 1. 5 6
Sheep 4 3 7 [?]
Horse 2 214
Chicken 2
3
8
14. 26
-13 15
Piel 5
=========================================================
Explanation:
The vertical bar means "given", so saying "P(Horse | Female)" means "The probability of selecting a horse given the animal is female". Since we know the animal is female, we focus only on the second column.
There are 2 female horses out of 26 female animals total. Therefore, the probability we want is 2/26 = 1/13
Side note: The hint your teacher provides is also another route you can take, but I find it's a bit more complicated in my opinion.
P (Horse | Female) = 1/13
What is probability?"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."
Formula of the probability of an event A is:P(A) = n(A)/n(S)
where, n(A) is the number of favorable outcomes,
n(S) is the total number of events in the sample space.
What is conditional probability?"It is the probability of an event occurring given that another event has already occurred."
Formula for conditional probability:The probability of event A occurring given that event B has already occurred is,
P(A|B) = P(A ∩ B)/P(B)
where, P(A ∩ B) the joint probability of events A and B
For given example,
We need to find P (Horse | Female)
From given table we can observe that there are 40 animals on farm.
⇒ n(S) = 40
First we find the probability of female animals on farm.
⇒ number of female animals = 26
Using the formula of probability,
⇒ P(Female) = n(Female)/n(S)
⇒ P(Female) = 26/40
First we find the probability of female horse [P(Horse and Female)] animals on farm.
⇒ n(Horse and Female) = 2
Using the formula of probability,
⇒ P(Horse and Female) = n(Horse and Female) / n(S)
⇒ P(Horse and Female) = 2/40
Using the formula of conditional probability,
⇒ P (Horse | Female) = P (Horse and Female) / P(Female)
⇒ P (Horse | Female) = (2/40) / (26/40)
⇒ P (Horse | Female) = 2/26
⇒ P (Horse | Female) = 1/13
Therefore, P (Horse | Female) = 1/13
Learn more about probability here:
brainly.com/question/11234923
#SPJ2
Evaluate f(x)=−5ex+4+3 for x=−6.
Answer:
f(-6) = 30e+7 or 88.55
Step-by-step explanation:
First you want to plug in the -6 into the function getting you:
-5e(-6)+4+3
You can multiply the -5*-6=30
Then add 4+3 giving you 7
So the final answer is 30e+7
Plz help me well mark brainliest if correct!!
Answer:
D
Step-by-step explanation:
Just go the opposite moves.
2 north, 3 west, 4 south.
North and south are the y, or second coordinate, and west is x, the first coordinate.
you end up with (2, 4), or D
3. Maxine has assets worth $145,000 and liabilities totaling $75,000. What is Maxine's net worth?
A $155,000
B-$15,000
C $70,000
D-$85,000
so, this is in math and, I NEED HELP!!!!!. could you first multiply the width by the height? Explain.
Answer:
Explain what?? May I ask
In a sewage treatment plant, a large concrete tank initially contains 440,000 liters of liquid and 10,000 kg of fine suspended solids. To flush this material out of the tank, water is pumped into the vessel at a rate of 40,000 l/h. Liquid containing solids leaves at the same rate. Estimate the concentration of suspended solids in the tank at the end of 4 h. You can assume that the initial concentration of solids in the tank
Answer:
[tex]Concentration = 8.26kg/m^3[/tex]
Step-by-step explanation:
Given
[tex]V = 440000L[/tex] --- volume of tank
[tex]m = 10,000 kg[/tex] --- solid mass
[tex]r = 40000L/hr[/tex] --- outflow rate
Required
Determine the concentration at the end of 4 hours
First, calculate the amount of liquid that has been replaced at the end of the 4 hours.
[tex]Amount = r * Time[/tex]
[tex]Amount = 40000L/hr * 4hr[/tex]
[tex]Amount = 40000L * 4[/tex]
[tex]Amount = 160000L[/tex]
This implies that, over the 4 hours; The tank has 160000 liters of liquid out of 440000 liters were replaced
Calculate the ratio of the liquid replaced.
[tex]Ratio = \frac{Amount}{Volume}[/tex]
[tex]Ratio = \frac{160000L}{440000L}[/tex]
[tex]Ratio = \frac{16}{44}[/tex]
[tex]Ratio = \frac{4}{11}[/tex]
Next, calculate the amount of solid left.
[tex]Amount (Solid)= Ratio * m[/tex]
[tex]Amount (Solid)= \frac{4}{11} * 10000kg[/tex]
[tex]Amount (Solid)= \frac{40000}{11}kg[/tex]
[tex]Amount (Solid)= 3636kg[/tex]
Lastly, the concentration is calculated as:
[tex]Concentration = \frac{Amount (Solid)}{Volume}[/tex]
[tex]Concentration = \frac{3636kg}{440000L}[/tex]
Convert L to cubic meters
[tex]Concentration = \frac{3636kg}{440000* 0.001m^3}[/tex]
[tex]Concentration = \frac{3636kg}{440m^3}[/tex]
[tex]Concentration = 8.26kg/m^3[/tex]
Which images below are scalene triangles?
Triangle A has three sides each measuring 7 units. Triangle B has two sides that are equal in length, and the base is longer than the two sides. Triangle C has no sides of equal length. Triangle D has sides of length seven, three, and six.
Triangles A and D
Triangles B and D
Triangles A and C
Triangles C and D
Answer:
Triangle C and D
Is your correct answer
Triangle A have 3 sides equal so it is equilateral triangle
Triangle B have 2 sides equal so it is isosceles triangle
Triangle C have no equal sides so it is scalene triangle
Triangle D have no equal sides so it is scalene triangle
Triangles C and D are scalene triangles.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Triangle A has three sides each measuring 7 units.
Triangle B has two sides that are equal in length, and the base is longer than the two sides.
Triangle C has no sides of equal length.
Triangle D has sides of length seven, three, and six.
Now, We know that;
A scalene triangle have different sides.
Hence, Triangles C and D are scalene triangles.
Thus, We get;
Triangles C and D are scalene triangles.
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ3
3 1/4+3/8equals to what?
Answer:
6 5/8
Step-by-step explanation:
Answer:
it equals 29/8 you can also write it as 3 5/8
Step-by-step explanation:
first you would convert the mixed fraction to 13/4 then add te two fractions. i hope this helps
Use the distance that these 9 students skimmer cars traveled in inches to calculate the MIDDLE 50%
468, 376, 540, 198, 230, 531, 281, 426, 346
a. 458 - 353.3
b. 255.5 - 499.5
c. 281 - 468
d. 230 - 531
9514 1404 393
Answer:
b. 255.5 to 499.5
Step-by-step explanation:
The middle 50% is the range between the first and third quartiles. In this group of 9 numbers, the first quartile is the average of numbers 2 and 3 when the numbers are listed from smallest to largest.
first quartile = (230 +281)/2 = 255.5 . . . . . . matches answer choice B
The third quartile is the average of numbers 7 and 8:
third quartile = (468 +531)/2 = 499.5 . . . . . also matches answer choice B
The middle 50% is 255.5 to 499.5.
_____
When I put the numbers in order, I get ...
198 230 ^ 281 246 376 426 468 ^ 531 540
^ indicates that the quartile here is the average of the adjacent numbers
bold indicates the median (2nd quartile)
1 point
3. The dot plot shows the number of hours the students in Mrs. Ferro's
class volunteer each month. Which of the following statements is not
correct?
MRS. FERRO'S CLASS
+
11
+
12
4 5 6 7
10
8 9
HOURS
A. There are a total of 17 students in Mrs. Ferro's class.
B. Exactly 7 students volunteered for less than 7 hours.
C. Less than half of the students volunteer for 9 hours or more.
D. The range is data was 5 hours.
Answer:
B
Step-by-step explanation:
its not A cause theres 17 kids
its not D
its not c cause less than half of the students volunteer for 9 hours or more
the only one it can be is B because it's not correct theres exactly 6 students less than 7 hours not 6
What is 5% as a fraction?
Answer:
The answer would be 5/100 or 1/20 in it's simplest form
Step-by-step explanation:
So let's say you have only 5% of a pie and the rest of your family gets the rest, if you put that in a form of a fraction, the answer would be 5 over 100 (5/100). But if you simplify, the answer would be 1/20 since 5 goes into 5 once and 20 goes into 100 5 times.
Ignore the messy writing, i was in a hurry.
Which of the following describes a triangle that has two angles with measures 30 degrees and 50 degrees?
A) acute
B) equilateral
C) obtuse
E) right
I think that C is the correct answer
Answer:
C. obtuse is absolutely right
if you throw a six sided number cube. then how many times will i get a 7
Answer:
QUESTION:
If you throw a six-sided number cube. then how many times will I get a 7
ANSWER:
This is a tricked question. You will never roll a 7 on a six-sided numbered cube unless you have 2 dice.
Step-by-step explanation:
Hope that this helps you out! :)
If you have any questions please put them in the comment section below this answer.
Have a great rest of your day/night!
Please thank me on my profile if this answer has helped you.
1219 kg of Swiss cheese is packaged in 3 kg bags. Will there be any cheese left over? How do you know?
Answer:
1 cheese is left over.
Step-by-step explanation:
Given that,
1219 kg of Swiss cheese is packaged in 3 kg bags.
i.e. 3 kg bags = 1219 kg of Swiss cheese
Implies, 1 kg bag = [tex]\dfrac{1219}{3}[/tex] kg of swiss cheese
If we divide 1219 by 3, we get [tex]46\dfrac{1}{3}[/tex]. Here, 46 is the quotient and 1 is the remainder.
It means 1 cheese is left over.
3.
Andre and Molly have a tree fort that consists of two rectangular rooms,
The upper level has a length of 5 feet, a width of 3 feet, and a helght
of 6 feet. The lower level has a length of 6 feet, a width of 5 feet, and a
height of 8 feet.
What is the combined volume of the two levels of the tree fort?
33 cubic feet
150 cubic feet
240 cubic feet
330 cubic feet
Help!
Answer:
330 cubic feet
Step-by-step explanation:
The formula for Volume is L (length) x W (width) x H (Hight)
So all we have to do is multiply the numbers for each floor and then add them together.
5 x 3 = 15 15 x 6 = 90
6 x 5 = 30 30 x 8 = 240
240 + 90 = 330
Now add you cubic feet since volume is cubed.
330 cubed feet
Thus, your answer is 330 cubed feet.
Hope this helps! :)
Find the surface area of the cylinder represented by the trunk of the tree.
Answer:
43.98
Step-by-step explanation:
Please help me with this ASAP Don’t ANSWER With links please ****
Given:
Radius of the cone = 6
Slant height of the cone = 10
To find:
The lateral area, surface area and volume of the cone.
Solution:
Let h be the height of the cone. By Pythagoras theorem, we get
[tex]10^2=(6)^2+h^2[/tex]
[tex]100=36+h^2[/tex]
[tex]100-36=h^2[/tex]
[tex]64=h^2[/tex]
Taking square root on both sides, we get
[tex]\sqrt{64}=h[/tex]
[tex]8=h[/tex]
The lateral area of a cone is:
[tex]A_L=\pi rl[/tex]
[tex]A_L=\pi (6)(8)[/tex]
[tex]A_L=48\pi[/tex]
The surface area of a cone is:
[tex]A_S=\pi rl+\pi r^2[/tex]
[tex]A_S=\pi (6)(8)+\pi (6)^2[/tex]
[tex]A_S=48\pi +36\pi[/tex]
[tex]A_S=84\pi[/tex]
Volume of cone is:
[tex]V=\dfrac{1}{3}\pi r^2h[/tex]
[tex]V=\dfrac{1}{3}\pi (6)^2(8)[/tex]
[tex]V=\dfrac{288}{3}\pi [/tex]
[tex]V=96\pi [/tex]
Therefore, the lateral area of a cone is [tex]48\pi[/tex] sq. units, the surface area of a cone is [tex]84\pi[/tex] sq. units and the volume of the cone is [tex]96\pi[/tex] cubic units.
After basketball practice, 8 players equally shared 3 water bottles of water. What fraction of a bottle did each player get?
Answer:
3/8
Step-by-step explanation:
You have three bottles and 8 players. You have to spread 3 bottles over 8 players. Here you get the fraction 3/8, or 3 over 8. This fraction is already simplified, which you know because 3 and 8 have no common factors. Thus you have your answer completed: 3/8.
Someone please answer this correctly!!
Answer:
1.98 × 10^10
Step-by-step explanation:
First solve for how many text messages were sent out per one month:
22,000,000 × 900
19,800,000,000
Convert into scientific notation:
1.98 × 10^10
In scientific notation, there can only be one number before the decimal. The rest of the numbers must be after the decimal; hence, why I put the numbers 9 and 8 after the decimal. If the rest of the numbers are zeros, you do not have to add them after the decimal. Instead, starting from right to left, count the number places until you reach your decimal. The number you have counted will be your exponent. I counted nine 0's, one 8, and one 9 which made this exponent 10 as there were 10 decimal placements.
Find the mean of the data in the bar chart below. money in each persons piggy bank
Answer:
The chart is showing how much many is in each persons piggy bank.
Step-by-step explanation:
Just a heads up , The title at the top of the graph gives off all the answers as to what the graph is showing.
Answer: 10.5
Step-by-step explanation:
C a l c u l a t o r
also I tried it myself so thats even more proof :D
what is 0.065 rounded to the nearest tenths?
please help :)
Answer:
Step-by-step explanation:
0.1 ;-;
Can someone help me with this please ?
Answer:
radius is 2.5 cm
hope it helps.
Answer:
radius = 2 1/2 cm or 2.5 cm
Step-by-step explanation:
diameter = 5 cm
radius = 5/2 = 2 1/2 cm
plz anser will give branlist
Answer:
A
Step-by-step explanation:
First notice that the sing does not have a line under it so its an open circle then the line is pointing to right. Your Welcome
michelle has four credit cards with the balances and interest rates listed below. She wants to pay off her credit cards one at a time, based on the interest rate. In which order should Michelle pay off her credit cards
Answer:
3,2,1,4
Step-by-step explanation:
A group of people move a large box that weighs 90 Newtons, 10 meters in 20 seconds, how much power was used?
Answer:
P = 45 W
Step-by-step explanation:
Given that,
The weight of a box, W = 90 N
Distance moved, d = 10 m
Time, t = 20 s
We need to find the amount of power used. The rate of doing work is called power It can be calculated as the formula,
[tex]P=\dfrac{W}{t}\\\\P=\dfrac{Fd}{t}\\\\P=\dfrac{90\times 10}{20}\\\\P=45\ W[/tex]
So, 45 W of power was used.
If cos A= 1/8 With A in QIV, find sec A/2
Show work
Recall the half-angle identity,
cos²(x/2) = (1 + cos(x))/2
The angle A terminates in the fourth quadrant, so 270° < A < 360°. Then the corresponding half-angle terminates in the second quadrant, since 135° < A/2 < 180°, so cos(A/2) < 0. This means
cos(A/2) = - √((1 + cos(A))/2) = -3/4
so that
sec(A/2) = 1/cos(A/2) = -4/3.