Answer:
105
Step-by-step explanation:
A circular swimming pool is 12 feet across and is enclosed by a fence. How long is the fence? (Round your answer to one decimal place.)
Answer:
the length of the fence is 37.7 feet
Step-by-step explanation:
The computation is given below:
Given that
Diameter = 12 feet
So, the radius is the half of the diameter = 6 feet
Now the length of the fence is
= 2 × π × r
= 2 × 3.14 × 6
= 37.68 feet
= 37.7 feet
Hence, the length of the fence is 37.7 feet
The length of the fence will be 37.7 feet.
Based on the information given, we are informed that the circular swimming pool is 12 feet across and is enclosed by a fence. We want to calculate the perimeter.
The perimeter of a circle will be:
= πd
where,
π = 3.142
d = 12 feet
Therefore, the length of the fence will be:
=πd
= 3.142 × 12
= 37.7 feet
The length of the fence is 37.7 feet.
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the length of a rectangle is represented by 5x - 7 and its width by 3x + 2. find its dimensions of the perimeter is 70 inches
Answer:
l = 18
w = 17
Step-by-step explanation:
2(5x-7) + 2(3x+2) = 70
x = 5
5(5)-7= 18
3(5) + 2 = 17
Answer:
Step-by-step explanation:
we have a rectangle, and the perimeter P=70
P=2L+2W
P=2(5x-7)+2(3x+2)=10x-14+6x+4=16x-10
16x-10=70
16x=70+10=80
16x=80
x=5
L=25-7=18
w=15+2=17
Solve the formula 2x+3y=12 for y
Answer:
y=4−2x/3
Step-by-step explanation:
Move all terms that don't contain y to the right side and solve.
. A system may become infected by some spyware through the internet or e-mail. Seventy percent of the time the spyware arrives via the internet, thirty percent of the time via email. If it enters via the internet, the system detects it immediately with probability 0.6. If via e-mail, it is detected with probability 0.8. What percentage of times is this spyware detected
Answer:
This spyware is detected 66% of the time.
Step-by-step explanation:
We have these following percentages:
70% of the time, the spyware arrives via the internet, and in this case, is detected 60% of the time.
30% of the time, the spyware arrives via e-mail, and in this case, is detected 80% of the time.
What percentage of times is this spyware detected
Sum of 60% of 70%(arrived via spyware, detecte) and 80% of 30%(arrive via e-mail, detected). So
[tex]0.6*0.7 + 0.8*0.3 = 0.42 + 0.24 = 0.66[/tex]
This spyware is detected 66% of the time.
Sana bought a dress for $32.99 and two purses. The total cost for the three items was $57.97. What was the cost for one purse?
Answer:
$12.49
Step-by-step explanation:
cost of two purses = $57.97 - cost of dress = $57.97 - $32.99 = $24.98
cost of one purse = $24.98 ÷ 2 = $12.49
What is the value of the expression below when w=2 8w2+2w+8
Answer:
44?? maybe
Step-by-step explanation:
What value of x satisfies the conclusion of the mean value theorem for f(x) = ln(x3) over the interval [1, e2]?
Answer:
[tex]x \approx 3.195[/tex] satisfies the conclusion of the Mean Value Theorem for [tex]f(x) = \ln x^{3}[/tex] over the interval [tex][1,e^{2}][/tex].
Step-by-step explanation:
According to the Mean Value Theorem, for all function that is differentiable over the interval [tex][a, b][/tex], there is at a value [tex]c[/tex] within the interval such that:
[tex]f'(c) = \frac{f(b)-f(a)}{b-a}[/tex] (1)
Where:
[tex]a[/tex], [tex]b[/tex] - Lower and upper bounds.
[tex]f(a)[/tex], [tex]f(b)[/tex] - Function evaluated at lower and upper bounds.
[tex]f'(c)[/tex] - First derivative of the function evaluated at [tex]c[/tex].
If we know that [tex]f(x) = \ln x^{3} = 3\cdot \ln x[/tex], [tex]f'(x) = \frac{3}{x}[/tex], [tex]a = 1[/tex] and [tex]b = e^{2}[/tex], then we find that:
[tex]\frac{3}{c} = \frac{3\cdot \ln e^{2}-3\cdot \ln 1}{e^{2}-1}[/tex]
[tex]\frac{3}{c} = \frac{6\cdot \ln e-3\cdot \ln 1 }{e^{2}-1 }[/tex]
[tex]\frac{3}{c} = \frac{6}{e^{2}-1}[/tex]
[tex]c = \frac{1}{2}\cdot (e^{2}-1)[/tex]
[tex]c \approx 3.195[/tex]
[tex]x \approx 3.195[/tex] satisfies the conclusion of the Mean Value Theorem for [tex]f(x) = \ln x^{3}[/tex] over the interval [tex][1,e^{2}][/tex].
Answer:
C. 1/2(e^2-1)
Step-by-step explanation:
Edge AP Cal 2022
A 120 120 -volt battery is connected to a circuit with 30 30 ohms of resistance. The current in amperes c c flowing through the circuit can be found using the equation 30c=120 30c=120 . How many amperes of current are there in the wire?
Answer:
just divide 120 divided by 30 is 4 I know it right bc I had the same question on into math if thats what you were on
Step-by-step explanation:
7. Chris used some square tiles to make an array. He made 8 equal rows
and had 3 tiles left over. He started with more than 80 tiles, but less than 100.
a) How many tiles did he start with? Find more than one answer.
Show your steps.
Answer:
83 and 91
Step-by-step explanation: 10 rows of 8.
8x10 =80
80+3=83
Next option 11 rows of 8
8x11=88
88+3=91
The cylinder has a surface area of 972cm. Find x. Round to the nearest whole number.
diameter: 2x
height: 5x
Answer:
A= 2pirh +2pir^2
972=2 x pi x x x 5x + 2 x pi x x^2
972= 31.4x^2 + 6.28x^2
972=37.68x^2
x^2= 972/37.68
x^2=25.796
x= 25.796 square root
x= 5
The value of x is 5 cm.
What is a cylinder?A cylinder is a three-dimensional figure that has a radius and a height.
The volume of a cylinder is given as
Example:
The volume of a cup with a height of 5 cm and a radius of 2 cm is
Volume = 3.14 x 2 x 2 x 5 = 62.8 cubic cm
We have,
The surface area of a cylinder = 972 cm²
The surface area of a cylinder.
= 2πrh + 2πr²
Diameter = 2x
Radius = x
Height = 5x
Now,
2πrh + 2πr² = 972
2π (rh + r²) = 972
2π (5x² + x²) = 972
2π x 6x² = 972
6x² = 972/(2 x 3.14)
6x² = 154.78
x² = 25.79
x = √25.79
x = 5.08
x = 5
Thus,
x value is 5.
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Need help asap
Will mark you brainlist
Answer:
y= -1/2 x -1
Step-by-step explanation:
Does anybody know the answer to this
Answer: I believe it's b
Step-by-step explanation:
\pi = 3.14159265...
It is most likely b
Cali bought a sweater priced a $60. If the sales tax is 9% what is the total purchase price of the sweater?
Answer:
65.4
Step-by-step explanation:
60*.09 = 5.4
60+5.4 = 65.4
Corey need a 24 boards that are 47 1/2 inches long
A. How many feet a boards should he buy? Explains.
B. if you can only buy 8-fot boards, how many should he buy? explain
Answer:
Step-by-step explanation:
1 foot = 12 inches
47.5 inches × (1 foot)/(12 inches) = (47.5/12) feet
24 boards × ((47.5/12) feet)/board = 95 feet
:::::
(8 feet)/board × (12 inches)/foot = (96 inches)/board
96/47.5 = 2 remainder 1
An 8-foot board provides two 47.5" boards, with an inch wasted.
He needs to buy 12 of the 8-foot boards.
Kelly bought 3 pounds of chicken for 6.99 per pound 20 pounds of dog food 1.95 Per pound prices include the sales tax Kelly gave the cashier $60 how much change should Kelly receive
Answer: 3 cents
Step-by-step explanation: multiply the price per pound by the amount of pounds purchased for both items and add them together. Then take the amount paid and subtract the total from what was paid to get the change.
Once Isabel rented the warehouse space, she decided to post ads on several social media sites to advertise her online bookstore. Let x represent the number of months the ads have been posted. Isabel finds that the function below describes the number of books sold as a function of the number of months her ads have been posted. Isabel finds that the function below describes the number of books sold as a function of the number of months her ads have been posted.
f(x) = 1000(∛x) + 1000
Required:
How many books were sold after 8 months?
Answer:
3000 books
Step-by-step explanation:
The correct function that describes the number of books sold as a function of the number of months her ads have been posted is expressed as;
f(x) = 1000(∛x) + 1000
x is the number of months the ads have been posted
Required:
Number of books sold after 8 months
To get this we will substitute x = 8 into the expression given
f(8) = 1000(∛8) + 1000
f(8) = 1000(2) + 1000
f(8) = 2000 + 1000
f(8) = 3000
Hence the total number of books that were sold after 8 months is 3000 books
Answer:
3000 were sold after 8 months
Step-by-step explanation:
Type the correct answer in the box. Figure 1 is similar to figure 2. The height of the cone in figure 2 is centimeters.
On Plato!!!
The height of the cone in figure 2 is 4.5 centimeters.
Similar figureTwo figures are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion.
From the diagram, the two cone are similar. Let h represent the height of the cone in figure 2, hence:
h/3 = 12/8
h = 4.5 cm
The height of the cone in figure 2 is 4.5 centimeters.
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Answer:
4.5
Step-by-step explanation:
An item has increased by
23% to £58.
What was the original
price?
Answer:
The answer is 44.66
Step-by-step explanation:
Multiply 58 by 0.23. This will give you 13.34. Next, you subtract this from 58 to get your original price.
Multiplication And Divisin Fact Families ,Will Mark Brainliest
Answer:
1) 56, 56, 56, -7
2) -1, -1, -1, -1
3) -7, 5, -35, -7
4) -4, -8, -4, -8
5) -21, -21, -21, -7
6) 10, -50, -5, -5
7) 48, 48, -4, 48
8) 6, -2, -2, -2
Step-by-step explanation:
Do I really have to explain? lol
Hope this helps.
PLEASE HELP!
|−1.25| + |2.5|
Explanation
-1.25+2.5=1.25
Answer:
1.25 is the answer .......
Step-by-step explanation:
hello will u be friend with me
I'm so lost on this work
Answer:
Typist A can type faster
Step-by-step explanation:
Replace the t in w = 50t with any numbers and graph the points you get
You can see that typist A can type 50 words per minute when typist B can only type 40
Enter one word that applies to all the following blanks, starting with 'v'. Spelling counts. Look it up Ch1 Slides if you are not sure. Statistical techniques are useful to describe and understand ____________________. By ____________________, we mean successive observations of a system or phenomenon do not produce exactly the same result.
Answer:
Variability
Step-by-step explanation:
Variability in simple terms may be described as differences in measurement or reading of a certain construct or phenomenon. Variability measures include range, standard deviation or variance. In most cases, variation or degree of Variability is measured about a central value called the mean. This is because same measurement about a certain phenomenon or study would usually not yield the same result value. Hence, the mean is used to record the average of these measurement and the differences in each measurement from the mean is also recorded, this is called the standard deviation which is a Variability measure.
Thus VARIABILITY means successive observation of a phenomenon do not yield exactly the same result.
The occupancy of the room must be less than 437 people
a) p 437
c) p ≤ 437
d) p ≥ 437
Which of the following is the midpoint between (8, 1) and (-2, -5)?
(2, -1)
(2, -2)
(3, -1)
(3, -2)
Step-by-step explanation:
2,-1
if it helps you then please make me brainliest
△ abc is an equilateral triangle, bc must be 2 cm True or False
2 ÷ 24.42 = ?
......
.
....
Answer:
12.21
Step-by-step explanation:
The Hollywood cats are a group of cats that have settled in along the Hollywood Beach in Florida. A group of volunteers feed them and care for them while trying to humanely reduce their numbers (as they are considered a nuisance). If there were 100 cats in the year 2012 and the rate of population change is given
Complete Question
The Hollywood cats are a group of cats that have settled in along the Hollywood Beach in Florida. A group of volunteers feed them and care for them while trying to humanely reduce their numbers (as they are considered a nuisance). If there were 100 cats in the year 2012 and the rate of population change is given
by [tex]-\frac{1}{4} t-2[/tex]
where t is measured in years, how many cats are projected to be in the group in 2020.
Answer:
The number of total cats left after 8 years T
[tex]T=76[/tex]
Step-by-step explanation:
From the question we are told that
Number of cats 2012 n=100
Number of years t=2012-2020=>8 years
Generally the equation of change in population is mathematically Given as
[tex]\frac{dp}{dt}= -\frac{1}{4} t-2[/tex]
[tex]\int dp=\int_0^8 (-\frac{1}{4} t-2)[/tex]
[tex]p=\frac{-64}{8} -16[/tex]
[tex]p=-24cats[/tex]
Therefore the number of total cats left after 8 years T is given as
[tex]T=100-24[/tex]
[tex]T=76[/tex]
The demand d for a company’s product at cost x is predicted by the function
d(x) = 1200 – 8. The price p in dollars that the company can charge for the product
is given by p(x) = 2 + 1. Use the formula Revenue = price × demand to find the
revenue function for the product, in terms of price x
Answer:
[tex]R(x) = - 16x^2+2392x + 1200[/tex]
Step-by-step explanation:
Given
[tex]d(x) = 1200 - 8x[/tex]
[tex]p(x) = 2x + 1[/tex]
Required
Find R(x)
We have that:
[tex]R(x) = d(x).p(x)[/tex]
This gives:
[tex]R(x) = (1200 - 8x) * (2x + 1)[/tex]
Expand
[tex]R(x) = 1200* (2x + 1) - 8x* (2x + 1)[/tex]
Open brackets
[tex]R(x) = 2400x + 1200 - 16x^2 -8x[/tex]
Collect Like Terms
[tex]R(x) = - 16x^2 -8x+2400x + 1200[/tex]
[tex]R(x) = - 16x^2+2392x + 1200[/tex]
Find the area of the figure.
Answer:
Width X Lenght =Area
Step-by-step explanation:
3 X 4= 12m
2.5×10³ times what number is equal to 5×10⁶?
Step-by-step explanation:
2500x=5000000
2500x/2500=5000000/2500
x=2000
I think the answer is this