Answer:
55
Step-by-step explanation:
The equation of the Ferris wheel circle is [tex](x-0)^{2} +(y - 104.375)^{2} = (100)^{2}[/tex]
What is Ferris wheel?A Ferris wheel is an amusement park ride consisting of a large vertical wheel with places for people to sit or stand spaced evenly around the outer circumference.
What is the standard equation of the circle?The standard equation of the circle is
[tex](x-h)^{2} +(y-k)^{2}= r^{2}[/tex]
Where,
(h, k) is the center of the circle
and, r is the radius of the circle
According to the given question.
The diameter of the Ferris wheel is 200 feet
[tex]\implies radius\ of \ the\ Ferris\ wheel = \frac{200}{2} = 100feet[/tex]
Height of the platform = 7 × 7.5 = 52.5 inches = 4.375 feet
Therefore,
[tex]k = 4.375+100 = 104.375feet[/tex]
and
[tex]h = 0[/tex]
Therefore, the equation of the Ferris wheel circle is
[tex](x-0)^{2} +(y - 104.375)^{2} = (100)^{2}[/tex]
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NO FILES!!
Find the following amount.
What is 75% of 4?
75% of 4 is
Answer:
75% of 4 is 3
Step-by-step explanation:
Hope this helps you :)
Answer:
75% of 4 is 3.
Step-by-step explanation:
75% [tex]=\frac{75}{100}[/tex]
[tex]\frac{75}{100} *4=\frac{300}{100}[/tex]
[tex]\frac{300}{100}=3[/tex]
Hope this helps; have a great day!
9x + 3 + 8x
Please help
In an isosceles triangle, angle B is 40 degrees, and angle E is 2x+4. What is x?
Answer:
x = 40°
Step-by-step explanation:
In order to answer this problem, you will need to know the definition of an isosceles triangle.
An Isosceles triangle is specified as a triangle with 2 of its 3 sides having equal lengths.
Step 1: Draw your triangle.
Since 2 of your 3 sides are equal length and the primary angle measures 100°, you are dealing with an obtuse triangle or, properly named, a obtuse isosceles triangle.
Step 2: Label your angles inside of your triangle.
Remember that the sum of the angles inside of a triangle must add up to equal 180°.
Since we know the triangle we are dealing with in this problem, we can label our unknown angles 'x'.
Caution: The above statement ONLY applies to this type of triangle.
Step 3: Write an equation.
100° + x° + x° = 180°
Step 4: Solve for x.
100° + x° + x° = 180°
100° + 2x° = 180°
2x = 80°
x = 40°
Gator Brews manufactures three types of brews: A, B, and C. These brews are produced via twa production processes: 1 and 2. Running process 1 for an hour costs $400 and yields three hundred gallons of brew A, one hundred gallons of brew B, and one hundred gallons of brew C. Running process 2 for an hour costs $100 and yields one hundred gallons of brew A, one hundred gallons of brew B. To meet customer demands, at least 1000 gallons of brew A, 500 gallons of brew B, and 300 gallons of brew C must be produced daily. Gator Brews wants to minimize the cost of running both processes. Set up and answer this question in worksheet "Part 6" using the simplex method in solver. (15 points) X1-hrs of process 1 X2 - hrs of process 2 MIN Z = 400x1 +100X2 s.t. Gallons of A 300 x1 + 100 x2 1000 Gallons of B 100 x1 + 100 x2 2500 Gallons of C 100 x1 + 0x2 2 300
Answer:
z(min) = 1400
x = 3
y = 2
Step-by-step explanation:
Formulation:
Let´s call
x number of running hours of process 1
y number of running hours of process 2
Then Objective Function to minimize is:
z = 400*x + 100*y
Constrains:
Subject to
Demand constraint ( by type of brews)
300*x + 100y ≥ 1000
100*x + 100*y ≥ 500
100*x ≥ 300
General constraint
y≥0 Note that we already have x≥= (in the third constraint)
By using the on-line slver we find:
z (min) = 1400 $
x = 3
y = 2
Suppose price changes of a particular commodity are independent and identically distributed random variables with µ = 1.1 and variance σ2 = 0.16. You collect a sample of 36 such price changes. Use the Central Limit Theorem to compute the probability that the average price change of this sample is less than 1.0.
Answer:
0.0668 = 6.68% probability that the average price change of this sample is less than 1.0.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean µ = 1.1 and variance σ2 = 0.16. You collect a sample of 36 such price changes.
So the standard deviation is:
[tex]\sigma = \sqrt{\sigma^2} = \sqrt{0.16} = 0.4[/tex]
Sample of 36:
This means that [tex]s = \frac{0.4}{\sqrt{36}} = 0.0667[/tex]
Probability that the average price change of this sample is less than 1.0.
This is the pvalue of Z when X = 1. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1 - 1.1}{0.0667}[/tex]
[tex]Z = -1.5[/tex]
[tex]Z = -1.5[/tex] has a pvalue of 0.0668
0.0668 = 6.68% probability that the average price change of this sample is less than 1.0.
A square has an Area of 49 square feet. What is the measure of a side length? *
Answer: 7 feet
hope this helps, have an amazing day <3
What is the surface area of the right cone below?
A. 63r units2
B. 545 units2
C. 1267 units2
D. 997 units2
Sorry guys new one thank you math people your the best you guys save my life :)
Answer:
2.0 is the correct answer
Step-by-step explanation:
hope it helps you
What is 23x4x67+213 divided by 9 -154 x7
Answer: -6377/1069 (write as fraction)
Step-by-step explanation: 6377/-1069
If you would like for me to simply it let me know!
Find the value of x in the triangle shown below.
a. x=27
b. x=5
c. x= 4
d. x=18
Answer:
[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ [/tex]
by using Pythagoras law:
h²=p²+b²
6²=x²+3²
x²=36-9
x=√27 units
Pls help if u cannnnnnnnnnnnnnnnn
Answer:
4.189 cubic inches
Answer:
4.19 in³
Step-by-step explanation:
The formula of volume of sphere
[tex] = \frac{4}{3} \pi {r}^{3} [/tex]
The volume of the sphere
[tex] = \frac{4}{3} \times 3.14 \times {1}^{3} [/tex]
[tex] = \frac{12.56}{3} [/tex]
[tex] = 4.186666667...[/tex]
= 4.19 in³ (rounded to the nearest hundredth)
Select TRUE or FALSE to indicate if the expression has been simplified correctly.
True
False
Answer:
false i think
Step-by-step explanation: forget the exponents 2/6 simplified is 1/3 and the base is 4 not 3 sorry if i am wrong
Please help me with this problem. Do not send me a link to some random website. I do not trust the link given that requires me to download it nor does Brainly allow links to websites other than itself to be on its community or whatever.
Answer: [tex]\left[\begin{array}{ccc}|x|0|1|2|3|4|5|6|\\|P(x)|0|4|8|12|16|20|24|\end{array}\right][/tex]
b. P(x)= 4x
c. The graph would go in a straight line touching each point given.
Step-by-step explanation: To find the perimeter of a square you can use the equation 4(x). If you multiply each x value by 4 you'll get the P(x) values.
Please help this is including substitution and system of equations.
Answer: I gotcha
Step-by-step explanation:
B, C, C, D, B
I just helped my brother with this
63 is 9% of what number?
Answer:
63 is 9% of 700.
Step-by-step explanation:
To solve this problem you multiply 63 by 100 and then divide the total by 9 as follows: (63 x 100) / 9
Thus, the answer is 700.
Determine if the equations are parallel, perpendicular or neither y = -3x + 6 and y = 1/3 x -8
Answer:
Perpendicular
Step-by-step explanation:Because the slopes are negative reciprocals of each other.
HELP PLEASEEEEEEEEEE
Can someone help me simplify and write in power form and show me step by step how to do it?
Answer:
8^2
Step-by-step explanation:
here's your solution
=> (8^7*8^4)8^9
=> in multiplication if base are same power added and in division if base same power minus
=> (8^11)/8^9
=> 8^2
hope it helps
What is the solution to |2x-8|<2?
Answer:
A) 3<x<5
Step-by-step explanation:
Given: |2x-8|<2
Make two inequalities:
First inequality:
2x-8<2
2x<10
x<5
Second inequality:
2x-8>-2
2x>6
x>3
Therefore, your solution is 3<x<5 since the two inequalities pass each other, making an "and" inequality.
a) Hace diez años las edades de Juan y Diego sumaban 36 años. Ahora Juan tiene el triple de la edad de Diego. ¿Cuál es la edad de cada uno ahora?
Answer:
Juan: 42
Diego: 14
Step-by-step explanation:
(d - 10) + (j - 10) = 36
d + j -20 = 36
d + j = 56
j = 3d
d + 3d = 4d = 56
d = 56/4 = 14
j = 3d = 3(14) = 42
the angle θ lies in quadrant ii. cos θ = -2/3 what is tan θ?
options:
√5/3
-√5/2
√5/2
-√5/3
Answer:
-√5/2
Explanation: I took the quiz.
What is the probability of drawing a 9 or a diamond from a standard deck of cards?
Answer:
7.6923% for Drawing a 9, 25% Drawing a Diamond
Step-by-step explanation:
There are 4 9s in a deck of cards, and 4/52 as a percentage is 7.6923%. There are 13 Diamonds in a deck of cards, and 13/52 as a percentage is 25%.
An orchard has 986 orange trees. The number of rows exceeds the number of trees per row by 5 . How many trees are there in each row?
Answer:
918.60
Step-by-step explanation:
dont mind my handwriting
Helppppp plzzzzzzz!!!!!! 15+PTS and brainliest!!!!!!!! ASAP!!!!!
Answer: The 3rd one! Letter C.
Step-by-step explanation:
I used a calculator!
Answer:
384 mi2
Step-by-step explanation:
I calculated it!!!!!
8 x 8 = 64
64 x 6 = 384
Hope this helps!!!!! Have a great day!!!!!!
A car is running with the velocity of 72km/h . what will be its velocity after 5s if its acceleration is -2m/s square ?
Answer:
92 km
Step-by-step explanation:
by calculator hope it gelps
Plz help me well mark brainliest if you are correct!!
Answer:
3
Step-by-step explanation:
1 hour = 60 minutes.
1/4 of an hour = 60 minutes / 4 = 15 minutes.
15 minutes / 5 minutes segments = 3
There are 3 five-minute segments in 1/4 of an hour
Answer:
C.
Step-by-step explanation:
Answer is C. because there are a total of 60 minutes in 1 hour. We know that there is 30 minutes in half a hour. Half of 30 minutes is 15 minutes and it takes 3 five minute segments to get 15 minutes.
You can do it like this 60 * 1/4 = 60/4
60/4 = 15/1
15 = 5 * 3
Please help?
(I learned this way back so I kinda forgot)
Answer:Question
Please help?
(I learned this way back so I kind forgot)
1 Which model represents 2(-3)
figure c represents 2(-3)
Answer:
1 Which model represents 2(-3)
figure c represents 2(-3)
Step-by-step explanation:
If you are trying to build credit by using a credit card, each time you make a purchase with the credit card, deduct that amount from your checking account. That way, when your credit card bill is due, you will have enough to pay the credit card off in full. Kathy Lehner is going to start doing this. She plans on paying her credit card bill in full this month. How much does she owe with a 6% APR and the following transactions? (Round your answer to the nearest cent.)
31-day billing cycle
10/1 Previous balance $ 1,164
10/3 Credit $ 79 cr.
10/12 Charge: King Soopers $ 148
10/15 Payment $ 310 cr.
10/25 Charge: Delta $ 321
10/30 Charge: Holiday Fun $ 61
What would be the amount owed?
Answer:
12593
Step-by-step explanation:
tell me if this hepls
Ur should be noted that Kathy Lehner owes approximately $1,311.97.
How to calculate the amountPrevious balance (10/1): $1,164
Credit (10/3): $79 credit. This reduces the balance, so the new balance is $1,164 - $79 = $1,085.
Charge: King Soopers (10/12): $148 charge. This increases the balance, so the new balance is $1,085 + $148 = $1,233.
Payment (10/15): $310 credit. This reduces the balance, so the new balance is $1,233 - $310 = $923.
Charge: Delta (10/25): $321 charge. This increases the balance, so the new balance is $923 + $321 = $1,244.
Charge: Holiday Fun (10/30): $61 charge. This increases the balance, so the new balance is $1,244 + $61 = $1,305.
Interest calculation: $1,305 * (6% * (31/365)) = $6.9698 (rounded to the nearest cent, which is $6.97).
Finally, to determine the total amount owed, we add the balance and the interest:
Total amount owed: $1,305 + $6.97 = $1,311.97
Therefore, Kathy Lehner owes approximately $1,311.97.
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The length of a rectangle is twice its width. The perimeter is eighty-four inches. Find the length and width. The length is inches. The width is inches.
v=U + at
u= 2
a = -5
t = 1
Work out the value of v.
Step-by-step explanation:
[tex]V = U + at \\ V = 2 + ( - 5 \times 1) \\ V = - 3[/tex]