Answer:
see below
Step-by-step explanation:
A: radius of 12 ft
Changing to meter
12 ft * .305 m/ ft =3.66 meter
The radius is 3.66 meters
The diameter is twice the radius = 2*3.66 =7.32 meters
The circumference is
C = pi*d = 3.14 * 7.32 =22.9848 = 22.98 meters
B diameter is 7.5 meters
Pool B has a bigger diameter
C = pi * d = 3.14 * 7.5m = 23.55 meters
The difference is .57 meters
Answer:
7.32
B
Larger/greater
0.57
Step-by-step explanation:
Diameter = 2 × radius
= 2 × 12 = 24 feet
24 × 0.305 = 7.32 meters
7.5 > 7.32
So the diameter of pool B is greater
Difference in circumferences:
(3.14 × 7.5) - (3.14 × 7.32)
23.55 - 22.98
0.57 meters
A concentrated cleaning solution must be mixed with water in a container that allows users to spray onto the surfaces they need to clean. Pam’s mom asked her to add 30 ounces of cleaning concentrate into the sprayer and then add water to fill the sprayer. Her father told her that the sprayer must contain 20% cleaning concentrate and 80% water.
How many ounces does the sprayer hold? ounces
How many ounces of water was added to the sprayer? ounces
Answer:
the sprayer holds 150 0z.
120 oz. of water was added to the sprayer
Step-by-step explanation:
whats the slope of 3x-4y=20
Which religion was most prominent among Silk Road merchants for more than 1,000 years?
Jainism
Buddhism
Islam
Hinduism
Answer:
islam
Step-by-step explanation: i just guessed
Answer:
I am pretty sure it is Islam
Step-by-step explanation:
Islamic merchants dealt in a wide variety of trade goods including sugar, salt, textiles, spices, slaves, gold, and horses. Sorry if it is wrong
sin 0=20/29. Find tan 0.
f(x) = 15,000(.84) shows the value of a car each year. Describe the following:
a) What does 15,000 in this story problem?
b) What is the growth/decay percent rate in this story problem?
c) What does x represent in this story problem?
d) What does f(x) represent in this story problem?
Answers:
a) 15000 represents the starting amountb) The decay rate is 16%, which means the car loses 16% of its value each year.c) x is the number of yearsd) f(x) is the value of the car after x years have gone by========================================================
Explanation:
We have the function f(x) = 15000(0.84)^x. If we plug in x = 0, then we get,
f(x) = 15000(0.84)^x
f(0) = 15000(0.84)^0
f(0) = 15000(1)
f(0) = 15000
In the third step, I used the idea that any nonzero value to the power of 0 is always 1. The rule is x^0 = 1 for any nonzero x.
So that's how we get the initial value of the car. The car started off at $15,000.
-------------
The growth or decay rate depends entirely on the base of the exponential, which is 0.84; compare it to 1+r and we see that 1+r = 0.84 solves to r = -0.16 which converts to -16%. The negative indicates the value is going down each year. So we have 16% decay or the value is going down 16% per year.
------------
The value of x is the number of years. In the first section, x = 0 represented year 0 or the starting year. If x = 1, then one full year has passed by. For x = 2, we have two full years pass by, and so on.
------------
The value of f(x) is the value of the car after x years have gone by. We found that f(x) = 15000 when x = 0. In other words, at the start the car is worth $15,000. Plugging in other x values leads to other f(x) values. For example, if x = 2, then you should find that f(x) = 10584. This means the car is worth $10,584 after two years.
in exercises 35–38, use the result of exercise 33 to find an equation for the line through p perpendicular to v. then sketch the line. include v in your sketch as a vector starting at the origin. p(2, 1),v
The equation of the vectors are
35. y = (-1/2)x + 2
36. y = (1/2)x + 5/2
37. y = 2x + 3
38. y = (2/3)x - 52/3
Exercise 35:
P(2, 1)
v = i + 2j
To find the equation of the line passing through P and perpendicular to v, we need to determine the slope of the line. The slope of a line perpendicular to a vector is the negative reciprocal of the slope of the vector.
The vector v = i + 2j has a slope of 2/1 = 2. The negative reciprocal of 2 is -1/2. Therefore, the slope of the line perpendicular to v is -1/2.
Using the point-slope form of a line, we can write the equation of the line passing through P as follows:
y - y₁ = m(x - x₁)
Substituting the values of P(2, 1) and the slope (-1/2), we get:
y - 1 = (-1/2)(x - 2)
Simplifying the equation, we have:
y - 1 = (-1/2)x + 1
y = (-1/2)x + 2
Exercise 36:
P(-1, 2)
v = -2i - j
The slope of the vector v = -2/1 = -2. The negative reciprocal of -2 is 1/2.
Using the point-slope form, we can write the equation of the line passing through P(-1, 2) as:
y - 2 = (1/2)(x + 1)
Simplifying the equation, we have:
y - 2 = (1/2)x + 1/2
y = (1/2)x + 5/2
Exercise 37:
P(-2, -7)
v = -2i + j
The slope of the vector v = 1/(-2) = -1/2. The negative reciprocal of -1/2 is 2.
Using the point-slope form, the equation of the line passing through P(-2, -7) is:
y - (-7) = 2(x - (-2))
Simplifying the equation, we have:
y + 7 = 2(x + 2)
y = 2x + 3
Exercise 38:
P(11, 10)
v = 2i - 3j
The slope of the vector v = -3/2. The negative reciprocal of -3/2 is 2/3.
Using the point-slope form, the equation of the line passing through P(11, 10) is:
y - 10 = (2/3)(x - 11)
Simplifying the equation, we have:
y - 10 = (2/3)x - 22/3
y = (2/3)x - 52/3
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Complete Question:
In Exercises 35–38, find an equation for the line through P perpendicular to v. Then sketch the line. Include v in your sketch as a vector starting at the origin.
35. P(2, 1), v = i + 2j
36. P(-1, 2), v =-2i - j
37. P(-2, -7), v =-2i + j
38. P(11, 10), v = 2i - 3j.
which one is it?.......
Answer:
The answer is D
Please correct me if I am wrong
Step-by-step explanation:
80000/0.00004 = 2000000000 (2*10^9)
Liz flips a coin 40 times. The coin lands heads up 24 times and tails up 16 times. What is the theoretical probability of the coin landing heads up
Answer:50
Step-by-step explanation:
Because I just got it right
Answer:
50%60%LessStep-by-step explanation:
I did the quiz
You might have to zoom in to see please help
Answer:
2nd choice i belive
Step-by-step explanation:
evaluate the integral by interpreting it in terms of areas. part 1 of 3 we are concerned with the segment of the line y = 3 2 x − 6 that begins at (0, −6) and that ends at 5, 3/2 3/2
Therefore, The integral would be ∫[0,5] (3/2)x - 6 dx. Integrating this equation would give us the area of the region under the curve.
Explanation: To evaluate the integral by interpreting it in terms of areas, we need to find the area of the region under the curve. For part 1 of 3, we are given a segment of the line y = (3/2)x - 6 that begins at (0, -6) and ends at (5, 3/2).
To find the area of this region, we need to integrate the equation from x = 0 to x = 5. The integral would be:
∫[0,5] (3/2)x - 6 dx
Integrating this equation would give us the area of the region under the curve.
To evaluate the integral by interpreting it in terms of areas, we need to find the area of the region under the curve. For part 1 of 3, we are given a segment of the line y = (3/2)x - 6 that begins at (0, -6) and ends at (5, 3/2). To find the area of this region, we need to integrate the equation from x = 0 to x = 5.
Therefore, The integral would be ∫[0,5] (3/2)x - 6 dx. Integrating this equation would give us the area of the region under the curve.
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If f(-7) = -2 write a corresponding ordered pair solution What is the corresponding pair?
Solution:
If
\(f(-7)=-2\)The general form of the coordinates of an ordered pair is
\(\begin{gathered} f(x)=y \\ (x,y) \end{gathered}\)From the given expression;
The x-coordinate is -7
The y-coordiates is -2
Hence, the corresponding ordered pair is
\((-7,-2)\)whats the probability for a quarter to land on tails and a rolling die to land on two
The probability that a quarter lands on tail and a rolling die land on 2 is 1/12
What is probability?A probability is a number that reflects the likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.
Probability = sample space /total outcome
A quarter has two faces, the head and the tail. Therefore the probability for a quarter to land on tail = 1/2
A die has 6 faces , labelled 1, 2,3,4, 5,6.
The probability for a die to land on 2 = 1/6
Therefore the probability for a quarter to land on tail and a die to land on 2 = 1/2 × 1/6 = 1/12
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A persons lung capacity can be modeled by the function C(t) = 250sin(2x/5 * t) + 2450 where C(t) represents the volume in mL present in the lungs after t seconds. State the maximum value of this function over one full cycle and explain what this value represents
The maximum value of a full cycle can be 2700 mL, this gives the maximum volume of air inhaled by a person during one breath. The function C(t) = 250sin(2I/5(t))+2450.
It shows the capacity of the lung of a person at any point of time t in milliliters (mL).
We not only need to find the one full cycle but also determine the period of function and it is given by:
T = 2I/(2I/5)
T = 5 seconds.
This means that the function completes one full cycle every 5 seconds.
To find the maximum value of the function over one full cycle, we need to find the maximum value of sin(2π/5(t)). The maximum value of sin(2π/5t) is 1, this happens at 2π/5(t) = π/2 + nπ, and n is considered as an integer.
So, the maximum value of the function occurs when sin(2I/5(t)) = 1, Substituting this into the original function, we get maximum value, Cm:
Cm = 250(1) + 2450
= 2700 mL.
The maximum value of a full cycle can be 2700 mL, this gives the maximum volume of air inhaled by a person during one breath.
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1. pick out the well defined set from the following 1 a = ( test cricket captains of pakistan 2 b = ( tasty food items)
The well defined set is a = ( test cricket captains of pakistan).
What is a well defined set?A set which is composed of elements which have finite value and does not depend upon the nature of thinking of different persons is called well defined set.
Some key features regarding the set are-
A set is a collection of specific things or a group of specific objects in mathematics. The set theory created by George Cantor is currently applied in all disciplines of mathematics. 'A set is a well-defined collection of separate things of our sense or cognition, to be considered as a whole,' he says.A hard definition of a set is not conceivable, as it is not possible for the ideas of geometrical point, line, and plane. Is the intuitive perception of a gathering or aggregation of real or mental items.The following are some examples of basic set concepts:
a group of current Australian cricketers. a collection of regulations for playing badminton; a set of integers subject to specified conditions; a collection of books from the library; a group of American states;To know more about well defined set, here
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Find the missing term
(m-n)^2=m^2-_____+n^2
Answer:
2mn
Step-by-step explanation:
The expanded form of the square can be found using the distributive property.
__
(m -n)² = (m -n)(m -n) = m(m -n) -n(m -n) . . . use the distributive property
= m² -mn -nm +n² . . . . use it again
= m² -2mn +n² . . . . . . combine like terms
The missing term is 2mn.
At the end of each year, Lily gets her house valued. After one year, the starting value had increased by 9%. After two years, this new value had decreased by 4% and the house was valued at £235,440. What was the starting value of the house? Give your answer in pounds (£). Starting value Value after one year Value after two years £ 4 £235,440 2 +9% )-4%
Therefore, the starting value of the house was £224,492.37 (rounded to two decimal places).
What is fraction?A fraction is a mathematical expression that represents a part of a whole. It is expressed as two numbers separated by a line or a slash, with the number on top called the numerator and the number on the bottom called the denominator. The numerator represents the number of parts being considered, while the denominator represents the total number of parts in the whole. Fractions can be used to represent quantities such as lengths, distances, time, weight, and many other things in the real world. They are an important concept in mathematics and are used in a wide range of applications, from basic arithmetic to advanced calculus and beyond.
Here,
Let's denote the starting value of the house by x.
After the first year, the value increased by 9%, so the value became 1.09x.
After the second year, the new value decreased by 4%, so the value became \(0.96(1.09x) = 1.0464x\).
We know that this final value is £235,440, so we can set up an equation and solve for x:
\(1.0464x = 235440\)
\(x = 235440 \div 1.0464\)
\(x \thickapprox 224492.37\)
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Which two steps will complete the list correctly? 4. Divide the original measurement by the conversion factors. 5. Check for reasonableness. 4. Multiply the acoriginal measure by the conversion factors. 5. Simplify the answer. 4. Multiply the original measure by the conversion factors. 5. Check for reasonableness. 4. Divide the original measure by the conversion factors. 5. Simplify the answer.
Two steps that will complete the list correctly are:
4. The original measurement should be multiplied by the conversion factors.
5. Verify that it makes sense.
What is meant by conversion factor?A conversion factor can be used to switch from one set of units to another by multiplying or dividing a number. When a conversion is necessary, the appropriate conversion factor to an equivalent value must be applied.
Let's use an example of converting from inches to centimeters to address this query.
10 inches should be converted to cm.
The first step is to identify the measure that has to be converted, which in this case is inches.The conversion factors, which are; are written in the second step. 1 inch equals 2.54 centimetersThe third step is to cancel the units; in this instance, inches will be cancelled.The original measurement is multiplied by the conversion factor in the fourth step to give; 10 × 2.54 cm = 25.4 cmThe fifth stage is to assess reasonableness by attempting to determine whether choosing a different number will produce a reasonable result.To know more about units, visit:
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Would really like your help on this!!
Answer:
7/37 are taking Chinese
Step-by-step explanation:
Total taking chinese is 7 and the total number of students all together are 37. So 7 out of 37 are taking chinese
Answer:
\(\frac{7}{37\\}\)
Step-by-step explanation:
There are 7 students choosing Chinese and 37 total students. You can simplify the equation more therefore the answer is \(\frac{7}{37}\)
Find the slope of the line that passes through (4,8) and (2, 1)
Please help
Answer: (7,2)
Step-by-step explanation below.
Hello!
First, we need to put it in the y2-y1/x2-x1 form.
8-1/4-2 = 7/2
So the slope would be...
m = 7/2
So the line would go up 7 and right 2.
Hope this helps you!
solve for x
x+3 > 70
x+3< 70
Using inequalities we know that x=68 and x=66 respectively.
What are inequalities?A mathematical phrase in which the sides are not equal is referred to as being unequal.
In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.
So, solve the inequalities as follows:
x+3>70
x>70-3
x>67
Then, it will be x = 68.
Then,
x+3<70
x<70-3
x<67
Then, it will be s = 66.
Therefore, using inequalities we know that x=68 and x=66 respectively.
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how many different ways can a planning board of 6 scientists be selected from a group of 11 scientists?
There are 462 different ways to select a planning board of 6 scientists from a group of 11 scientists.
The problem requires selecting 6 scientists from a group of 11 scientists. This is a combination problem, and the formula for combination is nCr, where n is the total number of items, and r is the number of items to be selected. The formula is given by:
nCr = n! / (r! * (n-r)!)
Where "!" denotes the factorial of a number, which is the product of all positive integers up to that number.
Using the given formula, the number of ways of selecting a planning board of 6 scientists can be calculated as:
11C₆ = 11! / (6! * (11-6)!)
= (11109876!) / (6! * 54321)
= (1110987) / (5432*1)
= 462
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WILL GIVE BRAINLIEST FAST!! Will Give Brainliest if you show all the steps. 8x - 6 / 2 = x + 12
Solve for X
Answer: 15/7 2 1/7
Step-by-step explanation: First divide 8x-3=x+12 Then add 3 to both sides.
8x=x+15 Subtract x from both sides. 7x=15 Then divide again so 7/7 and 15/7. If you simplify it become 2 1/7
Answer:
x = 15/7
Step-by-step explanation:
Reduce the fraction with 2
8x - 3 = x + 12
Move variable to the left-hand side and change its sign
8x - x - 3 = 12
Move constant to the right-hand side and change its sign
8x - x = 12 + 3
collect like terms
7x = 12 + 3
Add the numbers
7x = 15
Divide both sides of the equation by 7
Solution: x = 15/7
Alternate form
x = 2 1/7, x = 2.142857
What is the perimeter of a rectangle that is 5 feet wide and 7 feel long?
Answer:
24
Step-by-step explanation:
5+5+7+7
Answer:
24 feet
Step-by-step explanation:
7 times 2 is 14
5 times 2 is 12
14 plus 12 is 24
30 Dollars An Hour Is How Much A Year?
30 dollars an hour is equivalent to an annual salary of $62,400.
This figure is based on working 40 hours per week for 52 weeks a year. Therefore, if someone works 30 hours a week, their annual salary would be lower, at $46,800. This figure also assumes that the person is paid for all the hours they work, including overtime.
In addition, it does not include bonuses, commissions, or other types of incentives. Finally, taxes and other deductions will reduce the actual amount received in a year. Calculating the actual annual salary for someone who is paid a set rate per hour requires taking all of these factors into account.
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radius=12 round up to the nearest tenth
Answer:
12.0
Step-by-step explanation:
Answer:
452.4
Step-by-step explanation:
Let X = the number of coin tosses won by the LA Rams during one season. What is the probability that they win the coin toss in exactly 10 of their 16 games?
The probability that they win the coin toss in exactly 10 of their 16 games.
What is the probability?
Probability is a mathematical concept that deals with the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating that an event is impossible and 1 indicating that an event is certain to occur. The probability of an event A, denoted as P(A), is calculated as the number of favorable outcomes divided by the number of possible outcomes.
P(getting heads on one toss) = 1 / 2 because the coin is unbiased.
So P(getting all heads in 10 tosses).
= \((1/2)^{10}\)
= 1/ 1024
= .0009765
Hence, the probability that they win the coin toss in exactly 10 of their 16 games.
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Evaluate 3x + (6 – y) – 2z when x = 2, y = 3 and z = 4.
Answer:alright let start replacing
3 x 2 + (6- 3) - 2 x 4
6 + 3 - 8
9- 8
1
:)) sorry i was wrong the first time
make k the subject
2A= πK^2 +3t
Answer:
k = ± \(\sqrt{\frac{2A-3t\p}{\pi } }\)
Step-by-step explanation:
2A = πk² + 3t ( subtract 3t from both sides )
2A - 3t = πk² ( isolate k² by dividing both sides by π )
\(\frac{2A-3t}{\pi }\) = k² ( take square root of both sides )
± \(\sqrt{\frac{2A-3t}{\pi } }\) = k
How many ways can a coach select a starting team of one center, two forwards, and two guards if the basketball team consists of three centers, five forwards, and three guards
There are 90 ways that a coach can select a starting team of one center, two forwards, and two guards if the basketball team consists of three centers, five forwards, and three guards.
To determine the number of ways to select a starting team, we first need to choose one center out of three centers, which can be done in 3 ways.
Then we need to choose two forwards out of five forwards, which can be done in 5C2 ways, where 5C2 represents the number of combinations of 2 items that can be chosen from a set of 5 items.
Finally, we need to choose two guards out of three guards, which can be done in 3C2 ways.
Using the multiplication principle, the total number of ways to select a starting team is:
3 x 5C2 x 3C2 = 3 x 10 x 3 = 90
Therefore, there are 90 ways.
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just number them pls