If the diameter of the Ferris wheel is 80 meters, then a rider will travel 251.2 meters in one complete rotation around the Ferris wheel.
The diameter of the Ferris wheel = 80 meters
The radius of the Ferris wheel = Diameter / 2
= 80/2
= 40 meters
The Total distance travelled by the rider in one revolution = The circumference of the wheel
The circumference of the wheel = 2πr
Where r is the radius of the wheel
Substitute the values in the equation
The circumference of the wheel = 2×3.14×40
= 251.2 meters
Hence, if the diameter of the Ferris wheel is 80 meters, then a rider will travel 251.2 meters in one complete rotation around the Ferris wheel
The complete question is :
If the diameter of the Ferris wheel is 80 meters, how far does a rider travel in one complete rotation around the Ferris wheel?
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Please help me do my Math Homework ASAP, it is attached.
Answer:
Step-by-step explanation:
HELP MEEEEEEEEEEEEEE
Answer:
(2,-3)
Step-by-step explanation:
[tex]\frac{\left(y+3\right)^2}{9}-\frac{\left(x-2\right)^2}{2}=1\\\frac{\left(y-k\right)^2}{a^2}-\frac{\left(x-h\right)^2}{b^2}=1\:\mathrm{\:is\:the\:standard\:equation\:for\:an\:up-down\:facing\:hyperbola}\\\frac{\left(y-\left(-3\right)\right)^2}{3^2}-\frac{\left(x-2\right)^2}{\left(\sqrt{2}\right)^2} =1\\(2,-3)[/tex]
17. What are the roots of the equation s² - 7 = 74?
18. One of the roots of x² - 8x = 0 is 8. What is the other root?
paanswer po ngaun
w solution if meron po sana
Answer:
17. s = 9
18. x = 8x^(½)
Step-by-step explanation:
s² - 7 = 74?
s² = 74 + 7
s² = 81
√(s²) = √(81)
s = 9
x² - 8x = 0
x² = 0 + 8x
x² = 8x
√(x²) = √(8x)
x = 8x^(½)
OR by factoring
x²−8x=0
x(x−8)=0
x=0 or x−8=0
x=0 or x=8
Evaluate the function for the following values:
f(1) =
f(2)=
f(3) =
Answer: [tex]f(1)=1, f(2)=0, f(3)=2[/tex]
Step-by-step explanation:
[tex]0 \leq 0 \leq 1 \implies f(1)=1^2 =1\\\\1 < 1 \leq 2 \implies f(2)=-2+2=0\\\\2 < 3 \leq 3 \implies f(3)=3^2 -3(3)+2=2[/tex]
will mark branliest
Which graph shows the circle whose equation is (x−1)2+(y+3)2=16?
Which graph shows the circle whose equation is (x−1)2+(y+3)2=16?
circle formula:
[tex](x-h)^{2} +(y-k)^{2} =r^{2}[/tex]
Given:
[tex](x-1)^{2} +(y+3)^{2} =4^{2}[/tex]
put into circle formal format:
[tex](x-h)^{2} +(y-k)^{2} =r^{2}\\(x-1)^{2} +(y-(-3))^{2} =4^{2}[/tex]
The center of the circle is at point (h,k)
[tex](x-1)^{2} +(y+3)^{2} =4^{2}[/tex]
center should be at: (1,-3)
Answer:
lower row, left grid.
Answer:
Lower left, bottm, circle
Step-by-step explanation:
See attached graph
[tex]10 \sqrt{3} - 4 \sqrt{48} - \sqrt{75} [/tex]
10v3-4v48-v75 help pld
The most appropriate choice for surds will be given by-
[tex]-11\sqrt{3}[/tex] is the correct answer.
What are surds?
There are some natural numbers which are not perfect squares. Their square root are not natural numbers. Those numbers are called surds. The most important method for simplification of surds is prime factorization.
[tex]10\sqrt{3} - 4 \sqrt{48}-\sqrt{75}\\10\sqrt{3} - 4\sqrt{2\times2\times 2\times 2\times3}-\sqrt{3\times 5\times5}\\10\sqrt{3} - 4\times 2\times 2\sqrt{3} - 5\sqrt{3}\\10\sqrt{3} - 16\sqrt{3}-5\sqrt{3}\\-6\sqrt{3} - 5\sqrt{3}\\-11\sqrt{3}[/tex]
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I really need help on this!
Answer:
chad's other friend picked up 1 3/8 pounds of berries
Step-by-step explanation:
chad = 2 1/2 = 2 4/8
friend 1 = 1 3/8
2 4/8 + 1 3/8 = 3 7/8
5 1/4 = 5 2/8
5 2/8 - 3 7/8 = 1 3/8
4.7.4 Modeling Pumpkin launch, we were covering graphs of quadratic functions please help! Thank you
Using a quadratic function, it is found that:
a) The coordinates of the second x-intercept are: (50,0).
b) The vertex shows the maximum flight of the projectile.
c) The coordinates of the vertex are (25, 62).
3) The graph of the equation y = -0.0992(x² - 50x) is given at the end of the answer.
Quadratic functionA quadratic function has two x-intercepts, x' and x'', and is defined as follows:
y = a(x - x')(x - x'').
The intercepts are given as follows:
First x-intercept: coordinates (0,0), as the fruit is thrown from the ground.Second x-intercept: coordinates (50,0), as the fruit travels a distance of 50 feet to hit the ground.The vertex is found as follows:
x-coordinate of 25, which is the mean of the two intercepts.y-coordinate of 62, which is the maximum height.Hence the coordinates are: (25, 62).
The equation can be defined as follows:
y = ax(x - 50)
y = a(x² - 50x).
When x = 25, y = 62, hence the leading coefficient is found as follows:
62 = a(25² - 50(25))
-625a = 62
a = -62/625
a = -0.0992.
Hence the equation is:
y = -0.0992(x² - 50x).
The domain of the function is between the roots, hence 0 ≤ x ≤ 50, and the graph is sketched at the end of the answer.
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Went to start the sum of -1 3/4 and 2 1/2 is the same as the difference between 2 1/2 and 1 3/4 is Gwen correct explain why or why not
The sum of -1 (3/4) and 2 (1/2) is the same as the difference between 2 (1/2) and 1 (3/4).
Firstly, we will convert the mixed fractions into improper fractions.
-1 and 3/4 = -7/4
2 and 1/2 = 5/2
Addition of -1 (3/4) and 2 (1/2) = -7/4 + 5/2 = -7/4 + 10/4 = 3/4
Difference between 2 and 1/2 and 1 and 3/4 = 5/2 - 7/4 = 10/4 - 7/4 = 3/4
As both the values equal to 3/4 , we can say that the addition of -1 and 3/4 and 2 and 1/2 is the same as the difference between 2 and 1/2 and 1 and 3/4.
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a=3,k=12,z=6,h=4 Evaluate the algebraic expression z+15=?
since z=6, so z+15 is equal to 21
or a+k+z=21
21. What are the modes of the following sets of numbers?
a. 3, 13, 6, 8, 10, 5, 6
b. 12, 0, 15, 15, 13, 19, 16, 13, 16, 16
Answer:
6 and 16
Step-by-step explanation:
→ Find the most recurring number in sequence A
6
→ Find the most recurring number in sequence B
16
RS =9y + 2, ST = 2y + 3, and RT = 60
Answer:
y=5
Step-by-step explanation:
RS + ST = RT
9y+2 + 2y+3 = 60
11y + 5 = 60
11y = 55
Y = 5
an article suggests that a poisson process can be used to represent the occurrence of structural loads over time. suppose the mean time between occurrences of loads is 0.4 year. (a) how many loads can be expected to occur during a 4-year period? loads (b) what is the probability that more than twelve loads occur during a 4-year period? (round your answer to three decimal places.) (c) how long must a time period be so that the probability of no loads occurring during that period is at most 0.3? (round your answer to four decimal places.) yr
The probability of no loads occurring during that period is at most 0.3 exists 3.2 years.
How long must a time period be so that the probability of no loads occurring during that period?Given: Mean time between occurrence = 0.4 year
A number of loads expected to occur during a 4 year period
Period = 4
Mean time = 0.4
Let the formula = Period/Mean Time
The number of loads expected to occur during a 4-year period
= 4/0.4 = 10 loads
B. Probability that more than 11 loads occur during 4 year period
The expected number of loads during 4-year period = 10 (from A above)
mean = 10
Using Poisson distribution,
P(k events in interval)= (λ^k * e^-k)/k!
where: k = 0, 1, 2,3,4, . . ., 11 and λ = 10.
P(k = 0) = (1[tex]0^0[/tex] × [tex]e^{-10[/tex])/0! = 0.000045
P(k = 1) = (1[tex]0^1[/tex] × [tex]e^{-10[/tex])/1! = 0.000454
P(k = 2) = (10² × [tex]e^{-10[/tex])/2! = 0.00227
P(k = 3) = (10³ × [tex]e^{-10[/tex])/3! = 0.007567
P(k = 4) = (1[tex]0^4[/tex] × [tex]e^{-10[/tex])/4! = 0.018917
P(k = 5) = (1[tex]0^5[/tex] × [tex]e^{-10[/tex])/5! = 0.037833
P(k = 6) = (1[tex]0^6[/tex] × [tex]e^{-10[/tex])/6! = 0.063055
P(k = 7) = (1[tex]0^7[/tex] × [tex]e^{-10[/tex])/7! = 0.090079
P(k = 8) = (1[tex]0^8[/tex] × [tex]e^{-10[/tex])/8! = 0.112599
P(k = 9) = (1[tex]0^9[/tex] × [tex]e^{-10[/tex])/9! = 0.12511
P(k = 10) = (1[tex]0^{10[/tex] × [tex]e^{-10[/tex])/10! = 0.12511
P(k = 11) = (1[tex]0^{11[/tex] × [tex]e^{-10[/tex])/11! = 0.113736
The probability that more than 11 loads occur during a 4-year period is then given by the following Express
1 - [P(k = 0) + P(k = 1) + P(k = 2) + . . . + P(k = 11)]
substitute the values in the above equation, we get
= 1 - [0.000045 + 0.000454 + 0.00227 + 0.007567 + 0.018917 + 0.037833 + 0.063055 + 0.090079 + 0.112599 + 0.12511+ 0.12511 + 0.113736]
simplifying the equation, we get
= 1 - 0.571665 = 0.428335
C. How long must a time period be so that the probability of no loads occurring during that period is at most 0.3
(λ^0 * e^-λ)/0! = 0.3
⇒ e^-λ/1 = 0.3
simplifying the above equation, we get
⇒ e^-λ = 0.3
⇒ -λ = ln 0.3
⇒ -λ = -1.204
⇒ λ = 1.204
The time period = 4 years / 1.204
Time period = 3.2 years
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The carpenter cuts 1-
1
inches off a piece of wood every 2 minutes. How many inches
2
will be cut in 25 min?
PLEASE HELP ASAP GIVING 20
Answer:
I agree with your answer.
Step-by-step explanation:
If f(x) = 5x, what is f¹(x)?
O f¹(x) = -5x
○ f¹(x) = -1/2 x
0 r²(x) = ²/1 x
O f¹(x) = 5x
The value of f¹(x) = x/5
What is function?
A function in maths is a special relationship among the inputs (i.e. the domain) and their outputs (known as the codomain) where each input has exactly one output, and the output can be traced back to its input.
We are given f(x) = 5x
and we are to find inverse of f(x).
Replace f(x) by y.
So,
y = 5x
Isolate x
x = y/5
Replace x by f'(y)
So,
f'(y) = y/5
Replace all occurrences of y by x.
So,
f'(x) = x/5
Therefore, the inverse of function f(x) = 5x is f'(x) = x/5
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Solve for x. Show each step of the solution.
5(2-x)-10=25-2(3x+40)
Answer:
x=50
Step-by-step explanation:
5(2-x)-10=25-2(3x+40)
Distribute:
10-5x-10=25-6x-80
Combine like terms
-5x-10=-6x-55
Put x to one side
x-10=-55
Make x by itself
x=-55
Answer: x=−55
Step-by-step explanation:
Solve the equation step-by-step:
5(2−x)−10=25−2(3x+40)
Simplify both sides:
5(2−x)−10=25−2(3x+40)
Distribute:
(5)(2)+(5)(−x)+−10=25+(−2)(3x)+(−2)(40)
10+−5x+−10=25+−6x+−80
Combine Like Terms:
(−5x)+(10+−10)=(−6x)+(25+−80)
−5x=−6x+−55
−5x=−6x−55
Add 6x to both sides.
−5x+6x=−6x−55+6x
x=−55
in 1982, the us mint changed the composition of pennies from all copper to zinc with copper coating. pennies made prior to 1982 weigh 3.1 grams. pennies made since 1982 weight 2.5 grams. if you have a bag of 1267 pennies, and the bag weighs 3541.9 grams, how many pennies from each time period are there in the bag?
Prior to 1982, pennies weighed 3.1 grams. Coins produced after 1982 weigh 2.5 grams. 647 coins from each period are there in the bag if it contains 1267 pennies and weighs 3541.9 grams.
Given that,
The 1982 change in pennies composition from all copper to zinc with copper coating was made by the US Mint. Prior to 1982, pennies weighed 3.1 grams. Coins produced after 1982 weigh 2.5 grams.
We have to find how many coins from each period are there in the bag if it contains 1267 pennies and weighs 3541.9 grams.
An issue of quantity and amount. In this context, the term "amount" refers to weight. The variables should be identified with letters that will make them easy to distinguish: Z for largely zinc and C for all copper. Create weight and quantity equations:
C + Z = 1287
3.1 C + 2.5 Z = 3601.5
By multiplying all three components of the first equation by -2.5 and placing them under the second equation, drawing a line, and then subtracting, you can eliminate the Z using this method.
3.1 C + 2.5 Z = 3601.5
-2.5 C - 2.5 Z = -3217.5
--------------------------------
0.6 C = 384
Divide both sides by .6.
C = 640
Subtract 640 from 1287.
Z = 647
Therefore, 647 coins from each period are there in the bag if it contains 1267 pennies and weighs 3541.9 grams.
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six children are each offered a single scoop of any of 3 flavors of ice cream from the combinatorial creamery. in how many ways can each child choose a flavor for their scoop of ice cream so that each flavor of ice cream is selected by at least one child?
Answer: 18 combinations
Step-by-step explanation: you want to multiply the amount of ice cream flavors by the amount of children to be able to find the amount of possible combinations. so, 6 children x 3 flavors of ice cream = 18 different combinations. 6 x 3 = 18
what is 11/12 ÷ 1/30 2 1/40 2 3/40 3 1/30 3 2/3
The given expression is
[tex]\frac{11}{12}\colon\frac{1}{3}[/tex]First, we change 1/3 for its reciprocal to transform the division into a product.
[tex]\frac{11}{12}\cdot\frac{3}{1}[/tex]Then, we multiply the fractions.
[tex]\frac{11\cdot3}{12\cdot1}=\frac{33}{12}=\frac{11}{4}[/tex]At last, we transform the fraction into a mixed fraction.
[tex]\frac{11}{4}=2\frac{3}{4}[/tex]Therefore, the right answer is B. 2 3/4.7. Solve by using extracting square roots 4a²-25= 0
pa answer po rn
w solution po
[tex]4a^{2} -25=0\\(2a-5)(2a+5)=0\\2a-5=0 \\or 2a+5=0\\\\a=\frac{5}{2} \\\\or\\\\a=-\frac{5}{2}[/tex]
IF YOU CHECK CAREFULLY YOU WILL FIND THAT THIS EQAUTION IS MADE OF DIFFERENCE OF SQUARES.
GOODLUCK!!
7+3(p-1)=64 how to solve
Answer:
p = 20
Step-by-step explanation:
7 + 3(p - 1) = 64 ( subtract 7 from both sides )
3(p - 1) = 57 ( divide both sides by 3 )
p - 1 = 19 ( add 1 to both sides )
p = 20
y = 2x - 4 what is the slope
Remember that the slope-intercept equation of the line is:
[tex]y=mx+b[/tex]where 'm' is the slope and b is the y-intercept.
In this case, we have the following:
[tex]y=2x-4[/tex]therefore,, the slope is m = 2
4. 3. The price of a computer is $699.00. The sales tax rate is 8%. What is the 10 points
sales tax on this computer in dollars and cents?
Mark only one oval.
0000
$55.92
$754.92
$5,592.00
$5.59
Answer:
$754.92
Step-by-step explanation:
699.00 plus 8% of 699.00 is 754.92
this is a super hard one
Notice that in the given sequence the difference between the first two terms is 7 so the solution must be in terms of multiples of 7 plus a constant. The only two options that have this characteristic are first and last ones, for the sum to consider the first term the sum must start for r=0.
Answer: last option.
Select whether the pair of lines is parallel, perpendicular, or neither.
y = 5, y = −3
The given pair of lines are parallel lines.
What are parallel lines?Parallel lines in geometry are coplanar, straight lines that don't cross at any point. In the same three-dimensional space, parallel planes are any planes that never cross. Curves with a fixed minimum distance between them and no contact or intersection are said to be parallel. A line with the same slope is said to be parallel. To put it another way, these lines won't ever cross. At the interception, perpendicular lines always intersect and form right angles.So, graph the lines on the given equation:
y = 5y = -3(Refer to the graph attached below)
We can easily look at the graph and tell that the given lines of the equations are parallel to each other.
Therefore, the given pair of lines are parallel lines.
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Whats the midpoint of line segment (-1,6), (3,0)
Answer:
(1,3)
Step-by-step explanation:
You can use the distance formula to help you solve the answer
Answer:
(1; 3)
Step-by-step explanation:
x = (-1 + 3)/2 = 1
y = (6 + 0)/2 = 3
A hiker descended 450 feet down to an elevation of 2300 feet. Which equation models this scenario?
The equation models this scenario regarding the hiker is x - 450 = 2300.
Whet is elevation?Elevation is simply used to illustrate the height above the sea level.
In this case, the hiker descended 450 feet down to an elevation of 2300 feet.
The equation that can model the scenario will be x - 450 = 2300
where x = Initial elevation
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Whileat the fruit stand, ramon bought 3 punds of apples that cost $0.89 per pound and 4 cantaloupes that each cost $1.09. about how much money did he spend, not including tax?
The total money spent on fruits is $7.03
While at the fruit stand, Ramon bought the following fruits,
3 pounds of apples that cost $0.89 per pound
4 cantaloupes that each cost $1.09
So, the total amount he spent on the materials he bought without including taxes is,
Total money spent = 3 x ( 0.89 ) + 4 x ( 1.09 )
= 2.67 + 4.36
= 7.03
The total money spent on fruits is $7.03
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Eli dug a trench
18
20
of a meter long. The next day he dug another 17
20
B
of a meter. What is a reasonable estimate of the total length of the trench?
The summation is the adding two quantities thus the reasonable estimate of the total length of the trench is 1 1/2 meters so option (C) is correct.
What is summation?A summation, also abbreviated as a sum, is the outcome of adding two or more numbers or quantities.
There could be only two terms, but there could be one hundred, a thousand, or a million.
Here are always an integer number of terms in a summation.
As per the given,
Length of the trench on the first day = 18/20 meters
Length of the trench on the second day = 9/20
Total length of the trench = 18/20 + 9/20
Take LCM as 20
⇒ (18 + 9)/20 = 27/20
⇒ 1.35 which is closest among the given option by 1 1/2 meters.
Hence "The summation is the adding two quantities thus the reasonable estimate of the total length of the trench is 1 1/2 meters".
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