The area of the hot tub is 6079.04 in²
How to determine the area required for the installation of the hot tub?
To determine the approximate area required for the installation of the hot tub. You can use the area of a circle.
The area of a circle is given by A = πr²
where r is the radius of the circle
Since the hot tub to have a diameter of 88 inches, the radius will be 88/2 = 44 inches. π = 3.14.
Thus, area of the hot tub will be:
Area of hot tub = 3.14 × 44² = 6079.04 in²
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If you spent $6.30 on seven pieces of candy. How much was each piece of candy???
Answer:
6.3/7 or $0.90
Step-by-step explanation:
6.30 = 7
6.3/7 = 1
0.9
Hope this helps!
The total combined weight of an apple and an orange is 1.057 lbs. The apple weighs 0.49 lbs. What is the weight of the orange?
Answer:
0.567 lbs.
Step-by-step explanation:
If you subtract
0.49 from 1.057, the answer is 0.567.
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A car company charges customers an initial charge plus a daily charge to rent cars. The initial charge is $40 and the daily charge is $35. The rental company charged Frank $180. Create an equation that can be used to find the number of days, x, that Frank rented the car.
Answer:
Total Charge = Initial Charge + Daily Charge x Number of Days
Step-by-step explanation:
Let's assume that x is the number of days that Frank rented the car.
The initial charge for the rental is $40, which is a one-time charge, so it does not depend on the number of days.
The daily charge for x days is $35 per day. Therefore, the total charge for x days can be calculated as:
Total Charge = Initial Charge + Daily Charge x Number of Days
Total Charge = $40 + $35x
We know that Frank was charged $180, so we can set the total charge equal to $180 and solve for x:
$40 + $35x = $180
Subtracting $40 from both sides gives:
$35x = $140
Dividing both sides by $35 gives:
x = 4
Therefore, Frank rented the car for 4 days.
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A Ferris wheel has a radius of 75 feet. two particular cars are located such that the central angle between them is 145°. To the nearest tenth, what is the length of the intercepted arc between those two cars on the Ferris wheel? (3 points)
To calculate the length of the intercepted arc between the two cars on the Ferris wheel, we need to use the formula:
Arc Length = θ/360° * 2πr
where θ is the central angle in degrees, r is the radius of the Ferris wheel, and π is a mathematical constant approximately equal to 3.14159.
In this case, the central angle between the two cars is 145°, and the radius of the Ferris wheel is 75 feet. Plugging these values into the formula, we get:
Arc Length = 145/360° * 2π * 75
Arc Length ≈ 0.4028 * 2π * 75
Arc Length ≈ 0.4028 * 150π
Arc Length ≈ 60.42π
To find the length of the intercepted arc to the nearest tenth, we can approximate π as 3.14:
Arc Length ≈ 60.42 * 3.14
Arc Length ≈ 189.77 feet
Therefore, to the nearest tenth, the length of the intercepted arc between the two cars on the Ferris wheel is approximately 189.8 feet.
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What is the total surface area
Answer:
Step-by-step explanation:
allison withdrew $7 from her savings account every day. if she continued to do this for a total of 5 days, find the integer that would represent the change in the value of her savings account.
Answer:
umm im not sure if this is the answer but i believe it would be -$35
Step-by-step explanation: -7 x 5
PLEASE HELP NEED ASAP!!!!!!
A number cube is tossed 60 times.
Outcome Frequency
1 12
2 13
3 11
4 6
5 10
6 8
Determine the experimental probability of landing on a number less than 2.
35 over 60
25 over 60
13 over 60
12 over 60
Answer:
The experimental probability of landing on a number less than 2 is 12 over 60. This is because the outcome of landing on the number 1 occurred 12 times out of the total 60 tosses.
Step-by-step explanation:
What is the meaning of "there exists x ∈ S ∖ m. Then m ⊊ m ∪ {x} ∈ X; a contradiction"?
The statement "there exists x ∈ S ∖ m" means that there exists an element x that belongs to the set S but does not belong to the set m. In other words, x is an element that is present in S but is not present in m.
The phrase "m ⊊ m ∪ {x} ∈ X" states that the set m is a proper subset of the set m ∪ {x}, and this union belongs to the set X. This implies that the set m ∪ {x} contains all the elements of m along with the additional element x.
The phrase "a contradiction" indicates that the statement or assumption being made leads to a logical inconsistency or contradiction. In this context, the contradiction arises from the fact that the assumption that x is not in m contradicts the statement that m ∪ {x} is a proper superset of m.
Overall, the given statement implies that the existence of an element x in S, which is not in m, leads to a contradiction when considering the relationship between m and m ∪ {x}.
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which is greater
1) 14/28 or 17/28
2)26/35 or 26/38
3)18/18 or 12/12
Answer:
1. 17/28
2. 26/35
3. they're equal
Factorise 18a²y - 27ay?
Answer:
Factorise 18a²y - 27ay
=9ay(2a-3)
Step-by-step explanation:
9ay(2a-3)
hope it is helpful to you
Ali is cutting 3/8 in. Cookie dough slices from a 10 1/2 in. long roll how many does she get
Answer:
28 slices
Step-by-step explanation:
Take the length of the roll and divide by the size of the slice
10 1/2 ÷ 3/8
Change the mixed number to an improper fraction
(10*2 +1) /2 ÷ 3/8
21/2 ÷ 3/8
Copy dot flip
21/2 * 8/3
Rewriting
21/3 * 8/2
7 * 4
28
You will get 28 slices
If the radius of a circle is 3m, what is the diameter?
Answer:
d = 6
Step-by-step explanation:
We know that the radius is 3m and we need to find the diameter.
The formula for the diameter is d = 2r
Since the radius is 3, we can substitute r for 3.
d = 2(3)
d = 6
The diameter is 6 m.
What is diameter?The diameter is the length of the line through the center that touches two points on the edge of the circle.
Given: radius= 3m and we need to find the diameter.
The formula for the diameter is
d = 2r
As the radius is 3 m, put r for 3 in d=2r.
d = 2(3)
d = 6 m.
Hence, the diameter is 6m.
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Simplify this algebraic expression completely.
9x-6(x + 4)
A. 3x - 24
B. 3x + 4
C. 3x-2
D.3x-4
Answer:
c..........................
Help me please, I’m very confused on what to do
Just add the powers while it is multiply
-1+(-3)
= -1 - 3
= -4
So it is \(2^{-4}\)
For the set = {2,4,6}, determine n(A)
Answer:
n(A)= 10
Step-by-step explanation:
Hope it is ..mark me as brilliant
You deposit $1,000 into a bank account. The account pays 3.75% annual interest compounded monthly. Find the balance after 6 years.
Your answer:
O $14,162.62
O 1,471.92
O $1,251.88
O $1,018.90
The answer of the given question based on the compound interest is the balance after 6 years is $14,162.62 (option a).
What is Amount?Amount refers to total value of something, usually in terms of a money. It can also be used in context of a quantity of something, such as an amount of the time or an amount of the material.
formula for the compound interest is :
A = P(1 + r/n)^(nt)
Where,
A = final amount
P = principal amount
r = annual interest rate
n = the number of times interest is to be compounded per year
t = time in years
In this case, we have:
P = $1,000
r = 3.75% = 0.0375 (annual interest rate as a decimal)
n = 12 (monthly compounding)
t = 6 years
Substituting the values into formula, we will get:
A = 1000(1 + 0.0375/12)⁽¹²*⁶⁾
A = $1,4162.62
Therefore, the balance after 6 years is $14,162.62 (option a).
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Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options. 2.3p – 10.1 = 6.4p – 4 2.3p – 10.1 = 6.49p – 4 230p – 1010 = 650p – 400 – p 23p – 101 = 65p – 40 – p 2.3p – 14.1 = 6.4p – 4
The value of the equation is 4.19p = -6.1
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
2.3p - 10.1 = 6.5p - 4 - 0.01p
On simplifying , we get
Adding 4 on both sides , we get
2.3p - 6.1p = 6.49p
Subtracting 2.3p on both sides , we get
4.19p = -6.1
Now , the value of the equation similar to 4.19p = -6.1 is 2.3p - 6.1p = 6.49p
Hence , the equation is 4.19p = -6.1
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What is the probability of randomly picking an ace of hearts from a standard deck of playing cards? Assume there are no jokers in the deck.
A. 1/52
B. 3/52
C. 1/13
D. 1/4
The probability of picking an ace of hearts from a standard deck of playing cards is 1/52.
Consider a standard deck of cards.
We know that a standard deck of cards contains 52 cards.
So, total number of cards in the standard deck of cards = 52 cards
Now, we have to assume that there are no jokers in the set of cards.
We have to find the probability of picking an ace of hearts from a standard deck of playing cards.
For that we need to first find the number of cards which are ace of hearts.
Number of cards which are ace of hearts = 1
Probability of picking an ace of hearts from a standard deck of playing cards is,
P = Number of ace of hearts / Total number of cards
= 1/52
Hence the probability is 1/52.
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-3√-294 simplify this equation
Answer -21√6
Step-by-step explanation
-3√-294 given
-3 x 7 √6 Because 7 x 3 = 21 and you just keep the six
-21√6 calculate the product there is your answer
State the solution(s)
x²+12x+32=0
please
Answer:
There would be 2 answers because it is a quadratic equation
x=4 or x=8
Answer:
x=-8, -4
Step-by-step explanation:
x²+12x+32=0
(x+8)(x+4) = 0
x = -4, -8
Ajar contains four blue marbles and two red marbles. Suppose you choose a marble at random, and do not replace it. Then you choose a second marble.
K Find the probability of the following event.
Both of the selected marbles are red.
The probability that both of the selected marbles are red is
(Round to three decimal places as needed.)
Answer:
1/15 or 0.0667
Step-by-step explanation:
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bardai
chatgpt
red marble on the first draw is 2/6, or 1/3
red marble on the second draw, given that the first marble was red, is 1/5
(1/3) * (1/5) = 1/15
what is the largest square factor of 49896
Answer:
The biggest factor of 49896 is 24948
The largest perfect square factor of 49896 is 36.
What is Prime Factorization?Prime Factorization is defined as any number that may be expressed as a product of prime numbers that has been said to be prime factorized.
The prime factorization of 49896 is 2³ x 3⁴ x 7 x 11
To find the largest perfect square factor of a number, you can find the prime factorization of the number, and then take the highest exponent of each prime factor that is a perfect square (in this case, 2²).
As per the question, in the prime factorization of 49896, the highest exponent of 2 that is a perfect square is 2², so 2² is included in the largest perfect square factor. The highest exponent of 3 that is a perfect square is also 2², so 3² is also included in the largest perfect square factor. The highest exponent of 7 that is a perfect square is 1, so 7 is not included in the largest perfect square factor.
The final result is 2² x 3² = 36, which is the largest perfect square factor.
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AB and AD are tangent to circle C. Find the length of AB, if AB = 8x and AD = x + 9. Round your answer to 2 decimal places.
Answer:
To find the length of AB, we can use the property that two tangents to a circle from the same external point are equal. This means that AB = AD. Substituting the given values, we get:
8x = x + 9
Solving for x, we get:
x = 1.5
Therefore, AB = 8x = 8(1.5) = 12.
To check our answer, we can use the Pythagorean theorem on triangle ABD, since AB is perpendicular to BD at the point of tangency. We have:
AB^2 + BD^2 = AD^2
Substituting the values, we get:
12^2 + BD^2 = (1.5 + 9)^2
Simplifying, we get:
BD^2 = 56.25
Taking the square root of both sides, we get:
BD = 7.5
Hence, the length of AB is 12 and the length of BD is 7.5.
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05. Leo earns $80 in a 4 day week. Workout his earning for:
1. 12 days
b) 3 weeks
if a student is selected at random, find the probability the student is a junior. round to the nearest whole percent! i’m not good at probability so an explaination would be appreciated!!!
Answer:
the answer is 40%.
Step-by-step explanation:
probability= total number of juniors all over total number.
that is , 8
20
2
5
rounding it the nearest whole percent is
2 × 100
5
40%.
The probability that the selected student is a junior is 27%.
What is the probability of an event?The probability of an event is the ratio of the number of outcomes favorable to the event to the total number of outcomes for the event. This represents the chance for the event to take place.
If A is the event, n is the number of outcomes favorable to the event and S is the total number of outcomes, then the probability of the event A is given as:
P(A) = n/S.
How do we solve the given question?We are given a two-way table showing the number of freshmen, sophomores, juniors, and seniors in the class with respect to their gender.
We are asked to find the probability of selecting a junior student while picking a random student from the class.
Let the event of selecting a junior student from the class be A.
Number of favorable outcomes to event A (n) = 2 + 6 = 8 (junior males + junior females)
Total number of outcomes (students in the class) (S) = 4 + 6 + 2 + 2 + 3 + 4 + 6 + 3 = 30.
∴ The probability that the selected student is a junior is given by:
P(A) = n/S = 8/30
or, P(A) = (8/30)*100% = 26.67% = 27% (rounding to the nearest whole percent).
∴ The probability that the selected student is a junior is 27%.
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in which number is the value of the digit 9 one tenth the value of the digit 9 in 3.974?
Answer:
0.9
Step-by-step explanation:
It is the second decimal. 1/9 equals 0.9
Someone pls help me with this
The measures of the angles are a = 38, b = 52, c = 104 and d = 90 degrees
Calculating the measures of the angles a to dFrom the question, we have the following parameters that can be used in our computation:
The circle and its properties
The angle in a semicircle is 90 degrees
So, we have
d = 90
Using the properties of angles, we have
a = 1/2 * 76
a = 38
Also, we have
a + b + d = 180 --- sum of angles in a triangle
So, we have
38 + b + 90 = 180
This gives
b = 52
Using the properties of angles, we have
b = 1/2 * c
52 = 1/2 * c
c = 104
Hence, the measures of the angles are a = 38, b = 52, c = 104 and d = 90 degrees
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David completed 12 math problems in 6 minutes. At this rate, how long will it take him to complete 50 math problems ? P
Please help I’ll mark you as brainliest if correct
Answer:
25 minutes...
Step-by-step explanation:
This is because if he can complete 12 math problems in 6 minutes when u simplify that u get 2 problems done per minute so that would make 50 problems done in 25 minutes
David take 25 minutes to complete 50 math problems.
What is unitary method?It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
Steps to Use Unitary Method
First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.
Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.
Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.
Given:
David completed 12 math problems in 6 minutes.
So, he will solve one math problem in= 6/12 = 1/2 minutes
Now, to complete 50 math problem he needs
=50 x 1/2
=50/2
=25 minutes
Hence, David take 25 minutes to complete 50 math problems.
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Cakculate the Length of line x
The length of line x in the figure of the cube given is 19.
Calculate the length of the base of the cube, which is the diagonal of the lower sides :
base length = √10² + 6²
base length = √136
The length of x is the diagonal of the cube
x = √baselength² + 15²x = √(√136)² + 15²
x = √136 + 225
x = √361
x = 19
Therefore, the length of line x in the figure given is 19.
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Ay anyone willing to help me with my work kinda lost
Okaayyy
Set B has the greater mode