Karissa liked to measure the snowpack at her house. On Tuesday, the snowpack was 6 inches deep. On Wednesday, 2 inches had melted. How
much snowpack was left?
Is y=cos(x)/x an odd function, even function, or neither
The provided function y=cos(x)/x is an odd function because f(-x) = -f(x) then it is an odd function.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
[tex]\rm y = \dfrac{cos(x)}{x}[/tex]
From the definition of the even and odd function:
If f(-x) = f(x) then it is an even function
If f(-x) = -f(x) then it is an odd function
[tex]\rm y(-1) = \dfrac{cos(-x)}{-x}[/tex]
[tex]\rm y(-1) = -\dfrac{cos(x)}{x}[/tex]
cos(-x) = cosx
Thus, the provided function y=cos(x)/x is an odd function because f(-x) = -f(x) then it is an odd function.
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If a fair die is rolled 5 times, what is the probability, rounded to the nearest
thousandth,
of getting at most 2 threes?
Answer:
0.965 to the nearest thousand.
Step-by-step explanation:
This is a binomial probability distribution.
Prob(getting no 3's) = (5/6)^5 = 0.4019
Prob(getting 1 * 3 ) = 5C1(1/6)(5/6)^4 = 0.4019
Prob (getting 2 3's ) = 5C2(1/6)^2(5/6)^3 = 0.1608
So required probability = 2 * 0.4019 + 0.1608
= 0.9646
The perimeter of a rectangular field is 48m, if the length is twice the width . Find the area of the field.
Answer:
Step-by-step explanation:
→Perimeter (P) = 2×(L+W) Perimeter = 48m
But Length = 2 × Width
∴ P = 2×( 2W + W)
= 2×(3W)
48 = 6W
Divide both sides by 6
[tex]\frac{48}{6}[/tex] = [tex]\frac{6}{6}[/tex] W
∴Width (W) = 8m
→This means Length = 2W
= 2×8m
L = 16m
→Area of a rectangle = L × W
= 8m × 16m
∴ Area of the rectangular field= [tex]128m^{2}[/tex]
Divide the number 1080 into two parts with a ratio of 4: 1.
Answer: It breaks up into 864+216
Reason:
x = some positive real number
The ratio 4:1 scales up to 4x:1x, so we have two parts one is 4x and the other is 1x. Those two parts add up to 1080
4x+1x = 1080
5x = 1080
x = 1080/5
x = 216
We can then find 4x = 4*216 = 864
As a check: 864+216 = 1080, so the answer is confirmed.
Find the volume of the rectangular prism pictured below if LM = 25 in, LO = 28 in, and
PR = 9 in, and OR = 3 in.
P
R
M
62 in
6300 in?
248 in
3
o 2354 in
3
Answer:
B. 6300
Step-by-step explanation:
helppppppppppppppppppppp
Answer:
10 duh
Step-by-step explanation:
equation for parallel and perpendicular
Answer:
Parellel: y=-2x+17
Perpendicular: y=2x-3
Step-by-step explanation:
Hope this helps! ;-)
PLS HELP QUICKLY
Data was collected at a pool. It showed that being older does not imply that a swimmer will stay for a shorter or longer amount of time. What is likely true?
There is no correlation between age and length of stay.
There is a correlation between age and length of stay. There may or may not be causation. Further studies would have to be done to determine this.
There is a correlation between age and length of stay. However, there is no causation. This is because there is likely an increase in the length of stay with a decrease in age.
The true statement is there is no correlation between age and length of stay.
What is correlation?
Correlation is a statistical measure used to measure the relationship that exists between two variables. For example, if the older a child is, the longer he would stay at the pool. it can be said that there is a positive correlation.
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GIVING BRAINLIEST
Select the correct answer. Each of the four angles of a quadrilateral measures 90°. How many rectangles can you construct using this condition?
A. 0
B. 1
C. 2
D. 4
E. infinitely many
Answer:
Hey!
Your Answer Would Be Option E!
Infinitely Many.
This Is Because:
Each and every one of the four angles/rectangles measures is 90°. Therefore, the number of rectangles that can be constructed using this condition is infinite!
Step-by-step explanation:
Please help with does 3 questions am trying to get my grade up
Which one geos first to last 3/4 or 1/3 or 5/8
A square has an area of 121 square centimetres.
What is its perimeter?
Answer:
44 cm
Step-by-step explanation:
The area of a square is the square of the side length. This means the side length is the square root of the area.
s = √A = √(121 cm²) = 11 cm
The perimeter of a square is the sum of its side lengths. There are 4 equal-length sides, so the perimeter is 4 times the length of one side:
P = 4s = 4(11 cm)
P = 44 cm
The perimeter of the square is 44 cm.
Answer:
44 cm
Step-by-step explanation:
Finding Side Length
Area = (Side length)²Take the square root on each sideSide length = √121Side length = 11 cmPerimeter
A square has 4 sidesTherefore, the perimeter is 4 times the side length4 × 1144 cmHouse numbers along a street consist of two-digit numbers. Each house number is made up of non-zero digits, and no digit in a house number is repeated. Event A is defined as choosing 8 as the first digit, and event B is defined as choosing a number less than 6 as the second digit. If a house number along this street is picked at random, with each number being equally likely and no repeated digits in a number, what is P(A and B) expressed in the simplest form? A. 1/9 B. 5/72 C. 5/8 D. 2/3
The value of the probability P(A and B) is 5/72 if the house numbers along a street consist of two-digit numbers, option (B) is correct.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
Total number of outcomes = 9×8 = 72
(because the total number of digits excluding 0)
Event A: choosing 8 as the first digit
Event B: choosing a number less than 6 as the second digit
Total favourable outcomes = 1×5 = 5
Because there are total 5 digits that are less than 6 {1, 2, 3, 4, 5}
Probability = 5/72
Thus, the value of the probability P(A and B) is 5/72 if the house numbers along a street consist of two-digit numbers option (B) is correct.
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Answer:
The answer is B I'm pretty sure.
Step-by-step explanation:
Time4Learning 2022 quiz
Sheriff Aniskin receives confidential information: the thief with the stolen accordion
has been traveling on a raft for 2 hour 40 minutes from Village Ivanovo toward
Village Sosnovka. Aniskin immediately leaves Sosnovka in a motorboat and travels
upstream toward the raft. Aniskin catches the thief 27 km from Sosnovka. Find the
speed of the raft if the speed of the motorboat in still water is 12 km/h and the
distance from Ivanovo to Sosnovka is 44 km.
The speed of the raft if the speed of the motorboat in still water is 3 km/h
What is speed?
Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.
Let the speed of the raft (current) - r
Speed of motorboat - 12 km/h
The distance between villages - is 44 km
Let the time spent by Aniskin - t
The time the thief was in travel = 2 hr 40 min + t = 2 40/60 + t = 3/8 + t
The distance the thief traveled = 44 - 27 = 17 km
We have the following equations:
r(8/3 + t) = 17
(12 - r)t = 27
Simplify the equations:
r(8/3 + t) = 17 ⇒ rt + 8/3r = 17
(12 - r)t = 27 ⇒ 12t - rt = 27
Add up the equations and solve for r:
rt + 8/3r + 12t - rt = 44
8/3r + 12t = 44
r = 16.5 - 4.5t
Substitute r into the second equation:
(12 - 16.5 + 4.5t)t = 27
4.5t² - 4.5t = 27
9t² - 9t - 54 = 0
Solving we get
t = 3 h
Find r:
r = 16.5 - 4.5*3 = 3 km/h
Therefore the speed of the raft if the speed of the motorboat in still water is 3 km/h
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As an event organizer, you are to host 120guests in a room of dimensions 18m long and 12m wide. You have rectangular tables which are 2m long and 0.75m wide. The number of guests allocated for the top table is 12 and the rest of the guests are on 3springs. NB: cover space is 0.6m i) Sketch the table plan arrangement. ii) Calculate the number of tables required for the top table. iii) Calculate the number of covers on each spring. iv) calculate the number of tables required for each spring. v) What is the purpose of leaving a gangway when arranging tables and chairs for an event?
The room, the tables and the guests are illustrations of rectangles and areas.
How many tables are required for the top table?This is calculated using:
Tables = Guest ÷ Guest per top table
So, we have:
Tables = 120 ÷ 12
Evaluate
Tables = 10
Hence, 10 tables are required for the top table
How many covers are on each spring?This is calculated using:
Covers = Number of spring ÷ Cover space
So, we have:
Covers = 3 ÷ 0.6
Evaluate
Covers = 5
Hence, 5 covers are required for each spring
How many tables are required for each spring?This is calculated using:
Tables = Tables for top table ÷ Spring
So, we have:
Tables = 10 ÷ 3
Evaluate
Tables = 3.33
Remove decimal
Tables = 3
Hence, 3 tables are required for each spring
What is the purpose of leaving a gangway when arranging tables and chairs for an event?This is done to allow passage for walkway
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What is the next step?
Answer: Subtract
Step-by-step explanation: Subtract 237 from 224.
Answer:
74. 25
Step-by-step explanation:
After dropping the 224 you're going to subtract it from 237 which equals 13. With that said, you're going to bring down the 6. From there, it would be 136 divided by 32 which is 4.25. So you're answer is 74 with a remainder of 25.
what is the name of the first female mathematician?
Answer:
Hypatia was the first female mathmatican
Answer:
Hypatia, (born c. 355 ce—died March 415, Alexandria), mathematician, astronomer, and philosopher who lived in a very turbulent era in Alexandria's history. She is the earliest female mathematician of whose life and work reasonably detailed knowledge exists.
Step-by-step explanation:
PLEASE I BEG OF YOU HELP ME
Select all the correct measures of center and variation for the following data set.
10, 20, 31, 17, 18, 5, 22, 25, 14, 43
First quartile = 12
IQR = 11
Median = 19
Third quartile = 25
MAD = 7
Answer:
Median = 19
IQR = 11
Third quartile = 25
Step-by-step explanation:
Just caculate it...
PLS HELPPPPPP!!!!!!
The functions graphed shows the distances, in miles, for two drivers x hours after driving.
Select ALL correct statements about the graph.
Question 5 options:
The intersection (1, 60) indicates the time in hours when Celia and Tayvin are traveling at the same speed.
Celia drove at a faster rate than Tayvin.
Tayvin drove at a faster rate than Celia.
The intersection (1, 60) indicates the time in hours when Celia and Tayvin are the same distance from the city.
Answer:
selection 1 ,2
Step-by-step explanation:
Celia. 60km/hr
Tayvin. 50km/hr
Paula is wallpapering a wall in her house. The wall is 14 ft x 8 ft with a
doorway that is 3 ft x 6 ft and a window that is 4 ft x 4 ft. How much
area does Paula need to wallpaper?
Answer:
78 ft^2
Step-by-step explanation:
14x8 - (3x6) + (4×4)
112 - (18+16)
= 78ft^2
A group of 18 students began raising money for a new community park. If each student reaches the goal of $980, how much will the
group raise toward the park project?
A $17,670
B $17.640
C $17,630 D$17,740
pls, help! and explain
Answer:
I can't seem to work out the other two, sorry
Step-by-step explanation:
1. -> c. because there are 10 letters in total and there are 4 vowels, so it would be 4/10, then we'd simplify by 2, and I gives us 2/5
4. -> g. because there are 10 letters so it's 10/10 which gives us 1
Answer:
CEFG
Step-by-step explanation:
1. P = 4/10 = 2/5
2. P= (4/10)(4/10)=16/100=4/25
3. P= (4/10)(3/9) = 12/90 = 2/15
4. P = 12/12 = 1
Hope this helps
What’s a good estimate for 2,745 x 6.9? Show how you got you estimate.
Answer:
21000
Step-by-step explanation:
2745 -> 3000
6.9 -> 7
3000 x 7 =
21000
Find the center of the circle whose equation is (x - 5) 2 + (y + 3) 2 = 6.
Answer:
(5, -3)
Step-by-step explanation:
Solve for x and solve for y by making each set of brackets equal to 0
3/4 : 6/x = 3/8 : 4/5 : 6/7
The value of x will be equal to 3 for the given expression.
What is a fraction?The fraction is defined as the division of the whole part into an equal number of parts.
Given expression is solved as:-
[tex]\dfrac{\dfrac{3}{4} }{\dfrac{6}{x}} = \dfrac{3}{8}[/tex]
[tex]\dfrac{3}{4}\times \dfrac{x}{6}=\dfrac{3}{8}[/tex]
[tex]\dfrac{x}{8}=\dfrac{3}{8}[/tex]
x = 3
The value of x will be equal to 3 for the given expression.
Therefore the value of x will be equal to 3 for the given expression.
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Y=x^2 – 4x + 5 vertex form please
Answer:
Step-by-step explanation:
help me pleaseeeeeeeeeeeeeeeeeeeeeee
a. To solve for the greatest common factor (GCF), we can determine the prime factors of 6, which is 2 and 3. Then for the other number, we can do the exact same thing. The prime factors of 8 are 1, 2, and 4. When matching the all the prime factors together, we notice that 2 is in both the prime factors.
This means that the GCF of 6 and 8 is 2.
b. To factor the GCF of 6 and 8, we can use the prime factors of both 6 and 8. That means:
6 + 8 = 2 × (3 + 4).
14 = 14
Please help, image below. Thank you!
A radius extends from the center of the circle to the edge.
If J is the center of the circle, then possible radii are JK, JL, JM, and JN.
Of those options, JN is the only one listed as an answer choice.
Answer: Third option, JN
Hope this helps!