Answer:
a) The mass is released at t = 0 when h is minimum. Half a cycle later h reaches its maximum and another half a cycle it reaches its minimum again. Hence over one cycle, h varies with t as follows:
b) According to the graph obtained in part a), h(t) could be modeled by a cosine function shifted (translated) vertically up and horizontally to the right. Hence
Step-by-step explanation:
2.5 kg of potatoes cost £1.40
Work out the cost of 4.25 kg of potatoes.
5.95
Answer:
£2.38
Step-by-step explanation:
Write and solve an equation of ratios:
£1.40 2.5 kg
----------- = ------------
c 4.25 kg
Cross multiplying, we get:
(£1.40)(4.25 kg) = (2.5 kg*c), or
(£1.40)(4.25 kg)
c = -------------------------- = £2.38
2.5 kg
Train A has a speed 20 miles per hour greater than that of train B. If train A travels 270 miles in the same times train B travels 210 miles, what are the speeds of the two trains?
Answer:
speed of train A = 70 + 20 = 90 miles per hour
speed of train B = 70 miles per hour
Step-by-step explanation:
Let
speed of train B = a
speed of train A = a + 20
Recall
speed = distance/time
The travel time is same for both train. Therefore, let us make time subject of the formula in the speed equation.
Time = distance/speed
270/a + 20 = 210/a
cross multiply
270a = 210(a + 20)
270a = 210a + 4200
270a - 210a = 4200
60a = 4200
divide both sides by 60
a = 4200/60
a = 70
speed of train A = 70 + 20 = 90 miles per hour
speed of train B = 70 miles per hour
An art teacher buys 9 bags of cotton balls. There are 68 cotton balls in each bag.
Which expression is best to estimate the number of cotton balls the teacher
buys?
9+70
9*60
9*70
9+60
Answer:
9*70
Step-by-step explanation:
It is not 9+70 or 9+60 because for this problem multiplication is required.
This problem seems to want you to round to the nearest ten's place. Because the one's place in 68 is above 5, the number will round up.
This means that the answer will be 9*70
Answer:
9*70
Step-by-step explanation:
What is the slope of the line shown below?
Answer:
2
Step-by-step explanation:
Slope is often called rise/run.
This is the amount the line goes upwards, rise, compared to the amount it goes sideways, run.
Compare the two shown points. From the left point the the right, the rise is 6, while the run is 3, creating the rise/run of 6/3. This is simplified to 2.
Answer:
C
Step-by-step explanation:
The age of the volunteers at a local food bank are 34, 25, 24, 50, 18, 46, 43, 36, 32. What is the median for the data set?
It is 34
First you have to order all of the number from least to greatest:
18 24 25 32 34 36 43 46 50
Then you cross out a number from each side, until you are left with the last number, which is the median. In this case your answer is 34.
can anyone help me find the volume? i will help you be the brainliest!!
Answer:
6,912....
Step-by-step explanation:
6 times 12 times 6 time 4 times 4 = 6,912
Answer:
= 360 ft³
Step-by-step explanation:
Rectangular prism
Volume = length x width x height
V = l x w x h
V = 12 x 6 x 4
V = 288 ft³
Triangular prism
Volume = 1/2 x base x height x length
V = 1/2 x 6 x 4 x 6 ( the width of the rectangular prism is the base of the triangular prism)
V = 1/2 x 144
V = 72 ft³
ADD BOTH VOLUMES
= 288 + 72
= 360 ft³
At a cafe, the Bishop family pays $12 for a salad, a fruit bowl, and two sandwiches. The Cortez family pays $14 for two salads
and two sandwiches The Donovan family pays $14 for a salad and three fruit bowls What is the price of a fruit bowl at the
cafe?
Answer: The price of a fruit bowl at the cafe is $3
Step-by-step explanation:
$3 in the price of a Fruit bowl at the cafe.
What is the price of a fruit bowl at the cafe?
According to the given In the question,
Let,
price of a Salad = Sl
price of a fruit bowl = Fb
Fb price of a sandwich = Sd
Sl + Fb+sd=$12 ..1
2 SI + 2 Sd = $14 ..2
Sl + 3Pb Fb = $14 ..3
from equation 2
Sl = 7 - Sd
from equation 3
7 - Sd + 3Fb = 14
Sd = 3Fb - 7
from equation 1
14- 3Fb+Fb+ 2(3Fb-7)=12
14- 2 Pb +6Fb-14=12
4Fb = 12
Fb = 3
Problem-solving is the act of defining a problem; determining the cause of the problem; identifying, prioritizing, and selecting alternatives for a solution; and implementing a solution.
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13 POINTS!!!
In ΔJKL, j = 74 inches, k = 14 inches and l=67 inches. Find the measure of ∠L to the nearest degree.
Answer:
55°
Step-by-step explanation:
Using cosine law
67² = 74² + 14² - 2(74)(14)cos(L)
cos(L) = 169/396
L =55.18378419
The measure of angle L to the nearest degree is 55°.
What is Law of Cosines?Law of cosines of triangle states that for three length of sides of the triangle, a, b and c opposite to the angles A, B and C respectively can be related as,
a² = b² + c² - 2bc cos(A)
Given, for a triangle JKL,
j = 74 inches, k = 14 inches and l = 67 inches.
We can use law of cosines to find the measure of angle L.
Using the law of cosines,
l² = j² + k² - 2jk cos(L)
67² = 74² + 14² - (2×74×14) cos(L)
4489 = 5476 + 196 - 2072 cos(L)
4489 = 5672 - 2072 cos(L)
-1183 = - 2072 cos(L)
cos (L) = 0.5709
L = 55.18° ≈ 55°
Hence the measure of angle L is 55°.
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okay who can tell me pi divided by 5.6 squared times 2
Answer:
0.20035667433
Step-by-step explanation:
Answer:
0.20035667433 , is the answer.
Step-by-step explanation:
Honestly whenever it comes to pi in maths , you can usually always use a calculator so on a calculator write in 'pi (5.6) *squared* x 2'
The Duquesne Incline in Pittsburgh, Pennsylvania, has an angle of elevation of 30º. The track has a length of about 800 feet. Find the height of the incline.
The height of the Duquesne Incline in Pittsburgh, Pennsylvania, is approximately 400 feet.
To find the height of the incline, we can use trigonometry, specifically the sine function.
Let's consider the triangle formed by the incline track, where:
The angle of elevation (angle between the incline track and the ground) is 30 degrees.
The length of the incline track (base of the triangle) is about 800 feet.
We want to find the height of the incline (the side of the triangle opposite the 30-degree angle).
Using the sine function, we have:
[tex]sin(angle) = opposite\ side / hypotenuse[/tex]
In this case, the angle is 30 degrees, the opposite side is the height (h) of the incline, and the hypotenuse is the length of the incline track (800 feet).
So, the equation becomes:
[tex]sin(30^o) = h / 800[/tex]
h = 800 * 0.5
h = 400 feet
Therefore, the height of the incline is approximately 400 feet.
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Ming would like to buy a plane ticket so she can visit her family this Thanksgiving, which is November 26. She has found that tickets for flights on days closer to Thanksgiving are more expensive than flights on days further away from Thanksgiving. A calendar from an airline company showing ticket prices by day is below.
Answer:
$165
Step-by-step explanation:
Answer:
156$
Step-by-step explanation:
You roll two six-sided dice. What is the probability that the sum is odd or a multiple of 5? Round your answer to the nearest tenth of a percent.
Answer:
The probability that the sum is odd or a multiple of 5
P(E₁∪E₂) = 0.58 = 58%
Step-by-step explanation:
Step ( i ) :-
Given the two dice are thrown ,The total number of exhaustive cases
n(S) = 6² = 36
Let 'E₁' be the event of getting the sum is odd on two dice
E₁ = { (1,2)(1,4),(1,6),(2,1),(2,3),(2,5),(3,2)(3,4),(3,6),(4,1)(4,3),(4,5),(5,2),(5,4),(5,6),(6,1),(6,3),(6,5)}
n(E₁) = 18
Let 'E₂' be the event of getting the sum is multiple of 5 on two dice
E₂ = { (1,4),(2,3), (3,2),(4,1),(4,6),(5,5),(6,4)}
n(E₂) = 7
n(E₁∩E₂) = {(1,4),(2,3),(3,2),(4,1)} = 4
Step(ii):-
The probability that the event of getting the sum is odd on two dice
[tex]P(E_{1}) = \frac{n(E)}{n(S)} = \frac{18}{36}[/tex]
The probability that the event of getting the sum is multiple of '5' on two dice
[tex]P(E_{2}) = \frac{n(E_{2} )}{n(S)} = \frac{7}{36}[/tex]
The probability that the event of getting the sum is odd and multiple of '5' on two dice
[tex]P(E_{1} n E_{2}) = \frac{n(E_{1} n E_{2} )}{n(S)} = \frac{4}{36}[/tex]
The probability that the sum is odd or a multiple of 5
P(E₁∪E₂) = P(E₁) + p(E₂) - P(E₁ ∩ E₂)
= [tex]\frac{18}{36} + \frac{7}{36} - \frac{4}{36}[/tex]
[tex]\frac{18+7}{36} - \frac{4}{36} = \frac{25-4}{36} = \frac{21}{36}[/tex]
P(E₁∪E₂) = 0.58 = 58%
Final answer:-
The probability that the sum is odd or a multiple of 5
P(E₁∪E₂) = 0.58 = 58%
The probability that the sum is odd or a multiple of 5 is 56 %.
Probability :When two dice are rolled, then
Total number of outcomes is [tex]=6^{2}=36[/tex]
Outcomes for the sum is odd or a multiple of 5 ,
[tex](1,2),(2,1),(2,3),(3,2),(1,4),(4,1),(1,6),(6,1),(2,5),(5,2),(3,4)\\\\(4,3),(3,6),(6,3),(4,5),(5,4),(6,5),(5,6),(4,6),(6,4)[/tex]
Number of favourable outcomes are [tex]=20[/tex]
the probability that the sum is odd or a multiple of 5 is,
[tex]P(E)=\frac{20}{36} =0.56[/tex]
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For circle P , find QN if LM = ON = 7.
A.
3.5
B.
7.5
C.
14
D.
21
Answer:
A
Step-by-step explanation:
You are just going to have to divide the 7 which gives you 3.5
Find the area of the triangle. Pls help!
Answer:
84 mm^2
Step-by-step explanation:
The area of a triangle is
A = 1/2 b *h
The base is 14 and the height is 12
A = 1/2 (14*12)
A = 84 mm ^2
Area of a triangle formula: A = 1/2bh
Solve using the values given in the picture.
A = 1/2(14)(12)
A = 1/2(168)
A = 84
Therefore, the volume of the triangle is 84mm²
Best of Luck!
Please Help me. I provided 2 pictures.
Answer:
ya switch the the 1st one and the last one
Step-by-step explanation:
32, 28, 21, 31, 18
Is 18 an outlier or no?
Answer:
No because 21 is close to it.
Step-by-step explanation:
To be considered an outlier, it would need to be a farther distance such as the distance from 28 to 21.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
Answer:
No. it's close to 21.
Step-by-step explanation:
There's a formula for fidning out if something is an outlier or not but i forgot, pff, look it up :P
A cone is cut by a plane parallel to its base. The small cone on top is similar to the large cone, with a similarity ratio of 1 : 2. The ratio between the volume of the small cone to that of the frustum is _ : _.
Answer:
1:1Step-by-step explanation:
The ratio between the volume of the small cone to that of the frustum is 1:1.
Notice that the bigger cone is double than the smaller cone, which means the smaller cone is half of the volume of the bigger cone, if you wipe the small one, you would have the frustum with the same volume as the wiped part, because if you delete the smaller cone, you would be deleting half volume of the bigger cone, giving at the end a relation 1 : 1 between the frustum and the smaller cone.
A pond is initially stocked with 1000 catfish, and the fish population is then sampled each month to estimate its size. It is determined to be increasing at a rate of 1.5% each month. What is the projected population after one year?Which function represents exponential decay?
Answer:
A year is 12 months long. 1.5 percent each month would total 18 percent in a year. 18 percent of 1000 is 180. The final number of fish is 1180
Step-by-step explanation:
caroline works 8 hours a day 5 days a week she earns £440 each week
how much does she earn per hour ?
Answer:
She earns £11 per hour
Step-by-step explanation:
You divide £440 with 5 days of the week and then you get how much she earns in a day. And then you devide with 8 and u get £11.
Caroline will earn £11 for working per hour.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that caroline works 8 hours a day 5 days a week she earns £440 each week.
The earnings for an hour will be calculated as,
Total hours = 8 x 5 = 40 hours
Earning per hour = £440 / 40
Earning per hour = £11
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AB
Round your answer to the nearest hundredth.
B
5
?
40°
Answer:
y
Step-by-step explanation:
y\
Answer: 6.53 on khan academy
Step-by-step explanation:
Please hurry!
Which of the following is true of the values of x and y in the diagram below?
A. y < x
B. y > x
C. y + x = 1
D. y/x = 1
Answer:
y/x = 1
Step-by-step explanation:
sin 45 = cos 45 = y /1 = x/1
so y = x
or y/x =1
Find the cosine of angle A (written as a fraction)
Answer: 0.92
Step-by-step explanation: cos a = side adj / hypotenuse
Cos a = 12/13 ~ 0.92307
Grace hit 12 balls in the batting cage out of 20 pitches. Tomorrow she is going to go to the same batting cage and get 30 pitches.
Use experimental probability to predict how many of the 30 pitches she will hit.
Answer:
she is expected to hit 18 out of the 30 pitches
Step-by-step explanation:
In this question, we are required to use experimental probability to make a prediction.
From the hits she has today, we can estimate the number of hits she might be getting tomorrow.
Since she made 12 hits out of 20 today, the probability that she has a hit will be 12/20 = 3/5
Now if she is having 30 pitches tomorrow, the expected number of hits would be the probability of getting a hit multiplied by the total number of pitches.
That would be 3/5 * 30 = 18 pitches
The perimeter of quadrilateral ABCD is 640. The perimeter of quadrilateral LMNO is 144. What is LM
Answer:
LM = 36
Step-by-step explanation:
A quadrilateral is a shape with 4sides. There are different type of quadrilateral such as square, rectangle, trapezium, parallelogram, kite and rhombus.
Perimeter of a quadrilateral is the addition of all 4 sides.
Since the shape is not specified neither is there a diagram, let's assume the quadrilateral is a square.
See attachment for diagram used in solving the question.
Perimeter of square = length+ length+ length+ length
= 4× length
Perimeter of quadrilateral ABCD:
640 = 4×length
Length = 640/4
Length = 160
Perimeter of quadrilateral LMNO:
144 = addition of all 4 lengths
144 = LM + MN + NO +OL
Since we are considering a square all the sides are equal.
LM = MN = NO = OL
144 = 4×LM
LM = 144/4
LM = 36
At a camp, kids can choose swimming, art, or music.
40 kids choose swimming, 16 choose art, and 24 choose music.
What is the ratio of kids who choose art to kids who choose swimming?
Answer:
3:5
Step-by-step explanation:
all figures can be divided by 8, so
swimming- 40/8= 5
arts 16/8= 2
music 24/8= 3
therefore, the ratio would be 3:5
Answer:
3/5
Step-by-step explanation:
I took it but got it wrong so i did the math problem and got this 3/5
Rebecca earns $6.25 per hour working after school. She needs at least $125.00 if she wants to buy a new bicycle. Which inequality shows the solution to how many hours Rebecca must work to earn the money for the bicycle? Let h equal the number of hours Rebecca must work.
Answer: the answer is in the steps.
Step-by-step explanation:
6.25h ≤ 125.00
Write the number for seventy-five million three hundred thousand
The answer is 75,300,000 hope this helps.
What is the total surface area of the cylinder to the nearest square inch ? Use 3.14 for pi
Answer:
1,300.62
Step-by-step explanation:
The formula for a cylinder is A= 2 pi r h +2 pi r^2
Maxine and Sammie have the same size lawn. Maxine can mow the lawn in 24 minutes and Sammie can mow the lawn in 36 minutes. At what time will Sammie have twice as much lawn to mow as Maxine?
Maxine and Sammie have to also mow their parking strips that are the same size. Maxine can mow the parking strip in 6 minutes and Sammie can mow the parking strip in 9 minutes. At what time will Sammie have twice as much grass to mow as Maxine?
Answer: A) 18.2 minutes
B) 4.5 minutes.
Step-by-step explanation:
A) Maxine can mow one lawn in 24 minutes, so the rate of work is:
1/24 of the lawn per minute.
Sammie can mow one lanw in 36 minutes, so the rate of work is:
1/36 of the lawn per minute.
The amount of the lawn that each has left to lawn by the minute x is:
Maxine = 1 -(1/24)*x
Sammie = 1 - (1/36)*x
we want to find the value of x such that:
2*(1 - (1/24)*x) = 1 - *(1/36)*x
which means that the amount that Sammie has left is two times the amount that Maxine has left to mow.
2 - (1/12)*x = 1 - (1/36)*x
2 - 1 = (1/12 - 1/36)*x
1/0.055 = x = 18.2
by the minute 18.2
B) Similar to before, here the rates are:
For Maxine, R = 1/6
For Sammie, R = 1/9
The amount they have left to mow by minute x is:
Maxine = 1 - (1/6)*x
Sammie = 1 - (1/9)*x
We want to solve, similar to before.
2( 1 - (1/6)*x) = 1 - (1/9)*x
2 - (1/3)*x = 1 - (1/9)*x
2 - 1 = (1/3 - 1/9)*x
1 = (2/9)*x
1*9/2 = x = 4.5
So here the solution is 4.5 minutes.
Answer:
`He will never have more grass to maw than Maxine because they do the strips the same size, and their yard is the same size, so they never have more to mow than the other person.
Explanation:
May you pls mark me as brainliest I am new to the program.
Find the quotient.
3 divided by 3636
A. 1,212
B. 1,202
C. 122
D. 112
E. 102
help asap!!
