Answer:
The area decreased by 329.7 square meters.
Step-by-step explanation:
For a circle of diameter D, the area is:
A = pi*(D/2)^2
with pi = 3.14
In this case, we start with a circle of D = 106m
Then the initial area is:
A = 3.14*(106m/2)^2 = 8,820.26 m^2
After, the diameter is decreased by two meters, then the new diameter is:
D' = 106m - 2m = 104m
And the new area will be:
A' = 3.14*(104m/2)^2 = 8,490.56 m^2
The change in the area is A - A' = 8,820.26 m^2 - 8,490.56 m^2 = 329.7m^2
The area decreased by 329.7 square meters.
How do I solve this problem below!
Answer:
$5.44
Step-by-step explanation:
$1.75 + $1.26 + $1.08 + $0.52 = $4.56
$10.00 - $4.56 = $5.44
A red die and a blue die are rolled. You win or lose money depending on the sum of the values of the two dice. If the sum is 6 or 10, you win $4. If the sum is 5, 9, or 12, you win $1. If the sum is any other value (2, 3, 4, 7, 8, or 11), you lose $2. Let X be a random variable that corresponds to your net winnings in dollars. What is the expected value of X
Answer:
The expected value of X is $0.0833.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
For each dice, there are 6 possible outcomes(values from 1 to 6). So for 2 dices, there are [tex]6^2 = 36[/tex] desired outcomes.
Desired outcomes:
Sum 5: (1,4), (2,3), (3,2), (4,1).
Sum 6: (1,5),(2,4),(3,3),(4,2),(5,1)
Sum of 9: (3,6), (4,5), (5,4), (6,3)
Sum of 10: (4,6), (5,5), (6,4)
Sum of 12: (6,6)
Probabilities:
5 + 3 = 8 outcomes in which the sum is 6 or 10, that is, 8/36 probability of winning $4.
4 + 4 + 1 = 9 outcomes in which the 5, 9, or 12, that is, 9/36 probability of winning $1.
36 - (8 + 9) = 36 - 17 = 19 remaining outcomes, that is, 19/36 probability of losing $2.
What is the expected value of X?
Multiplication of each outcome by its probability. So
[tex]E(X) = \frac{8}{36}*4 + \frac{9}{36}*1 - \frac{19}{36}*2 = \frac{8*4 + 9*1 - 19*2}{36} = \frac{32 + 9 - 38}{36} = \frac{3}{36} = 0.0833[/tex]
The expected value of X is $0.0833.
Timmy and Sarah head out to dinner and Garfinkels in Vaile. Timmy brings $40 with him. If buy two French Dips costing $10.95 a piece and two sodas costs $1.95 each, how much does Timmy have left if there is a 6% sales tax and they tip 20% on the food including the sales tax
Answer:
$3.80
Step-by-step explanation: :)
What is the surface area of the composite figure shown?
Answer:
531 m²
Step-by-step explanation:
9x9x5=405 (5 sides that are 9x9, including the bottom)
1/2x9x7x4=126 (4 triangles on top)
405+126=531
A culture of bacteria has an initial population of 470 bacteria and doubles every 8 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t =P 0 ⋅2 d t , where P_tP t is the population after t hours, P_0P 0 is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 7 hours, to the nearest whole number?
Answer:
Step-by-step explanation:
The population of bacteria in the culture after 7 hours is approximately 883.
What is an exponential function?Several real-world phenomena, including population expansion, radioactive decay, compound interest, and the spread of diseases, are modeled using exponential functions. In calculus, where they are used to define the exponential and logarithmic functions—essential ideas in calculus and other fields of mathematics—they also play a significant role.
Using the formula [tex]P_t = P_0 \times 2^{\frac{t}{d}}[/tex], where P_t is the population after t hours, P₀ is the initial population, t is the time in hours and d is the doubling time, we can find the population of bacteria in the culture after 7 hours as follows:
Since the initial population is 470, we have P₀ = 470.
The doubling time is 8 hours, so we have d = 8.
Substituting these values into the formula, we get:
[tex]P_7 = 470 \times 2^{\frac{7}{8}}[/tex]
P₇≈ 882.77
To know more about an exponential function follow
https://brainly.com/question/22967542
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What is the value of x
[tex]x {}^{2} \times 5x = 625[/tex]
Answer:
x = 5
Step-by-step explanation:
x^2 * 5x = 5x^3
5x^3 = 625 Divide by 5
x^3 = 625/5
x^3 = 125 Take the cube root of 125
x = 5
Marco is turning the expression (x-4)^2 into a trinomial. He writes down what is shown below. What is his error?
Answer:
Step-by-step explanation:
first, let's solve the equation ourselves.
(x-4)^2= (x-4)(x-4)= x^2−8x+16
now, we can see what's different about the two.
we can say that Marco's answer had the number 16 as a negative, when it was supposed to be positive. Marco wrote the incorrect sign.
For each equality decide whether the solution is represented by X less than 2 .5 or X greater than 2.5 -4x+5>-5 -25>-5(x+2.5)
Answer:
[tex]x<2.5[/tex] and [tex]x > 2.5[/tex] are the solutions
Step-by-step explanation:
Given
[tex]-4x + 5 > -5[/tex]
[tex]-25 > -5(x + 2.5)[/tex]
Required
Determine if their solution is x < 2.5 or x > 2.5
[tex]-4x + 5 > -5[/tex]
Collect like terms
[tex]-4x>-5-5[/tex]
[tex]-4x>-10[/tex]
Divide by -4
[tex]x<\frac{-10}{-4}[/tex]
[tex]x<2.5[/tex]
[tex]-25 > -5(x + 2.5)[/tex]
Open bracket
[tex]-25 > -5x - 12.5[/tex]
Collect like terms
[tex]5x > 25- 12.5[/tex]
[tex]5x > 12.5[/tex]
Divide by 5
[tex]x > \frac{12.5}{5}[/tex]
[tex]x > 2.5[/tex]
⚠️⚠️⚠️HELP HELP HELP IMAGE ATTACHED EXTRA POINTS
Answer:
2
Step-by-step explanation:
Which is the graph of linear inequality x + 2y <= 12
Answer:
B
Step-by-step explanation:
i got a 95% so i thinks its right
Victor buys 4 sleeves of golf balls. He has coupons for $0.75 off the regular price of each sleeve. After using the coupons, the total cost of the golf balls is $11. What is the regular price of each sleeve of golf balls?
What is the unit rate for the ratio 4/7: 8/21?
Answer:
The unit rate is 1.5
Step-by-step explanation:
Given
[tex]Ratio = 4/7 : 8/21[/tex]
Required
Determine the unit rate
To do this, we need to express the ratio as:
[tex]Ratio = m : 1[/tex]
Where m is the unit rate
[tex]Ratio = 4/7 : 8/21[/tex]
Express as fraction
[tex]Ratio = \frac{4/7 }{ 8/21}[/tex]
Solve
[tex]Ratio = \frac{4}{7} * \frac{21}{8}[/tex]
[tex]Ratio = 1.5[/tex]
Express as ratio
[tex]Ratio = 1.5 : 1[/tex]
Hence, the unit rate is 1.5
Find the circumference of a circle with a diameter of 35 ft. Use 22/7 for π.
Answer:
110
Step-by-step explanation:
the equation for circumference of a circle is 2 multiplied by pie multiplied by radius. so you do 22/7 multiply that by two and then divide 35 by 2 and get 17.5 and multiply that by the pie times 2
Which is the best type of graph to show the kilograms of food consumed and kilograms of food wasted in the
school cafeteria each day?
A. stem and leaf plot
B. line graph
C. dot plot
D. double bar graph
Answer:
Double Bar Graph
Step-by-step explanation:
A. 7
B. 8
C.9
D. 6
FOR BRAINLIST!!
Answer:
It is going to be C.9 hope this help hopefully not late. :D
Step-by-step explanation:
Its like a train so (2x3)+8x(7x-2)= your answer but you can solve it in a calculator :D
Answer:
D. 7
Step-by-step explanation:
According to this problem, the sum of the angles is 90°. This means we're adding.
2x + 3x + 8 + 7x - 2 = 90.
To make this easier to solve, we can combine like terms.
2x + 3x + 7x = 12x.
The remaining numbers are 8 and -2.
8 + -2 = 6
Our final expression is:
12x + 6 = 90
First, subtract 90 from 6 and get 84.
Lastly, divide the difference (84) by 12.
12x = 84
84 / 12 = 7.
Therefore, the value of x is 7.
Which statements are true about triangle ABC and its translated image, A'B'C'? Select two options
plssssssssssssssssss helpppppppppppppppppppppppppppppppppppppppppppppppppp
look at pic 10 points
Answer:
120
Step-by-step explanation: 10 x 12 = 120 m. Hope this helps
Rachel had a loan for $4,000 loan for 4 years.
She paid a total of $608 in simple interest over the 4 years.
What was the annual interest rate for the loan?
9514 1404 393
Answer:
3.8%
Step-by-step explanation:
The interest on a simple-interest loan is ...
I = Prt
where P is the principal value, r is the annual rate, and t is the number of years.
Solving for r, we get ...
r = I/(Pt) = 608/(4000×4) = 0.038 = 3.8%
The annual interest rate for the loan was 3.8%.
No BS and show all of your work please and you must use the 1% or 10% method which I don’t know what that is LOL
Answers:
38% of 15 = 5.7
29% of 75 = 21.75
4% of 220 = 8.8
No idea what the 1% or 10% method is either. But these answers would be better then to leave the questions blank.
3/4(5x - 3) + 8 = 17.
Answer:
x=3
Step-by-step explanation:
Pls help help help pls
Answer:
Its the bottom left one :)
Step-by-step explanation:
find the value of x
plssss help me
Answer:
x = 20
Step-by-step explanation:
The angles are supplementary so:
7x + x + 20 = 180
8x + 20 = 180
8x = 160
x = 20
please help, i'll give brainliest. (don't send a link please)
Answer:
A
Step-by-step explanation:
y+5<8
Subtract 5 from each side
5+5-5 <8-5
y<3
Since there is no equals sign, there is an open circle at 3
y is less than so the line goes to the left
Choice A
2/6 = 1/2 1/3
which one is the answer
Answer:
1/3
Step-by-step explanation:
2+2+2=6
There are three 3's
The test results for 4 students are: 96, 83, 78, and 83. If one more student's test score of 87 is added, what would increase?
A
median
B
mean
C
mode
D
range
Answer:
b
Step-by-step explanation:
PLEASEE HELP
EXTRA POINTS
BRAINLIEST
Painter Pete uses a ladder to reach a second story window on the house he is
painting. The bottom of the window is 20 feet above the ground. The foot of the
ladder 15 feet from the house. How long is the ladder?
Answer:
25 feet
Step-by-step explanation:
20^2 + 15^2 = 625
square root of 625 is 25
Answer:
that's a big ladder
35ft
Step-by-step explanation:
What type of correlation is shown in the graph?
A. Positive
B. Negative
C. No Correlation
D. Linear
Answer:
This graph shows a negative correlation
Hope this helps!
Tiffany said that there is no correlation between being a girl and playing in an intramural basketball league. Do you agree or disagree with Tiffany? Explain.
A.
Disagree, because the frequency indicates that there is a negative correlation to being a girl and being in an intramural league.
B.
Agreed; there is no correlation.
C.
Agree, because the frequency indicates that there is a positive correlation to being a girl and being in an intramural league.
Answer:
b
Step-by-step explanation:
The area of a square is 54 cm. What
is the length of each side of the
square?
A. between 8cm and 9cm
B. between 5cm and 6cm
C. between 6cm and 7cm
D. between 7cm and 8 cm
