Answer:
$9.50
Step-by-step explanation:
Divide 237.50 by 25
the half life of a radioactive substance is the time it takes for a quantity of the substance to decay to half of the initial amount . The half-life of the radioactive gas radon is approximately 3.8 days. The initial amount of radon used in an experiment is 75 grams. if N represents the number of grams of radon remaining t days after the start of the experiment,
a. Write an equation that gives N in terms of t.
b. How much gas radon approximately remains after 3.8 days?
c. approximately when will the amount of radon remaining be 10 grams?
Using an exponential function, it is found that:
a) [tex]N(t) = 75(0.5)^{\frac{t}{3.8}}[/tex]
b) 37.5 grams of the gas remains after 3.8 days.
c) The amount remaining will be of 10 grams after approximately 11 days.
What is an exponential function?A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.Item a:
We start with 75 grams, and then work with a half-life of 3.8 days, hence the amount after t daus is given by:
[tex]N(t) = 75(0.5)^{\frac{t}{3.8}}[/tex]
Item b:
This is N when t = 3.8, hence:
[tex]N(t) = 75(0.5)^{\frac{3.8}{3.8}} = 37.5[/tex]
37.5 grams of the gas remains after 3.8 days.
Item c:
This is t for which N(t) = 10, hence:
[tex]N(t) = 75(0.5)^{\frac{t}{3.8}}[/tex]
[tex]10 = 75(0.5)^{\frac{t}{3.8}}[/tex]
[tex](0.5)^{\frac{t}{3.8}} = \frac{10}{75}[/tex]
[tex]\log{(0.5)^{\frac{t}{3.8}}} = \log{\frac{10}{75}}[/tex]
[tex]\frac{t}{3.8}\log{0.5} = \log{\frac{10}{75}}[/tex]
[tex]t = 3.8\frac{\log{\frac{10}{75}}}{\log{0.5}}[/tex]
[tex]t \approx 11[/tex]
The amount remaining will be of 10 grams after approximately 11 days.
More can be learned about exponential functions at https://brainly.com/question/25537936
Which model best fits the data shown in the scatterplot?
A. y=-0.7x+1.9
B. y = 0.7x+1.9
C. y=-0.7x-3.8
D. y=1.9x-07
Answer:
A. y = -0.7x + 1.9
Step-by-step explanation:
The y-intercept is roughly +2 as you can see from the scatterplot therefore ⇒ Not option C or D [both of which are negative]The slope is slanted from top left to right bottom [meaning the slope is negative] ⇒ Not BThe correct option is AChoose the appropriate table for the differential equation dy/dx=x+1/x
Answer: 1.
x |0|0.5|2
dy/dx |2|5 |undefined
2.
x |0 |0.5| 2
dy/dx |undefined|5 | 2
3.
x | 0 |0.5|2
dy/dx|undefined |4 |2
Step-by-step explanation:
At Frome International train station, 35% of trains were late in a week.
In that week there were 440 trains.
Calculate how many trains were on time.
Answer: Two rational numbers between 1/3 and 1/5 are 4/15 and 7/39.
Step-by-step explanation:
what percent of 32 is 5.6
Answer:
17.5 %
Step-by-step explanation:
5.6 is 17.5 percent of 32
five whole numbers are written in order
4 6 x y 10
the mean and the median of the five numbers are the same
Answer:
7
Step-by-step explanation:
4+6+7+8+10= 35/5= 7
Median and Mean= 7
A triangle has two sides of length 1 and 8. What is the smallest possible whole-number length for the third side?
Answer:
8
Step-by-step explanation:
For the smallest possible length, this has to be one of the shorter sides. Let the length of this side be x.
So, by the triangle inequality theorem, 1+x>8, which means x>7.
So, the smallest possible whole number length is 8.
Please help with this
For the hole in the above triangular, the area that we need is the area of the rectangular hole i.e length times breadth that is 3 × 2 = 6
Hence, 6 sq. ft. carpet will be needed
Find the Area of the shaded part.
To find the area of the shaded part we have to subtract the rectangle area from the triangle area :
[tex]s = \frac{1}{2} \times (8x + 2)(6x) - (x)(3x + 1) \\ [/tex]
[tex]s = \frac{1}{2} \times (48 {x}^{2} + 12x) - (3 {x}^{2} + x) \\ [/tex]
[tex]s = \frac{48}{2} {x}^{2} + \frac{12}{2} x - 3 {x}^{2} - x \\ [/tex]
[tex]s = 24 {x}^{2} + 6x - 3 {x}^{2} - x[/tex]
[tex]s = 24 {x}^{2} - 3 {x}^{2} + 6x - x[/tex]
[tex]s = 21 {x}^{2} + 5x[/tex]
And we're done
Have a great day ♡
The radius of the Earth is approximately 6,370 kilometers. What is the distance in scientific notation?
A.
637 × 10^2 kilometers
B.
6.37 × 10^3 kilometers
C.
637 × 10^1 kilometers
D.
63.7 × 10^2 kilometers
Answer:
it is D 63.7 × 10`2 I am not sure if it right tho
Hey there!
• QUESTION READS….
“The radius of the Earth is approximately 6,370 kilometers. What is the distance in scientific notation?”
• THE QUESTION ASKED IN EASIER WAYS
“The SPACE of Earth is about 6,370 km (kilometers). What is the length of the the Earth in scientific notation?”
• GETTING TO KNOW SCIENTIFIC NOTATION…..
It’s the writing of a number in a certain term of a product of an thing anywhere between the numbers 1 - 10 and the other thing is at the power of the number 10
• ANSWERING THE QUESTION BY DOING PROCESS OF ELIMINATION….
Option A.
637 km × 10^2 kn
= 637 km × 10 km × 10 km
= 637 km × 100 km
= 63,700 km
Option A. is incorrect because it is too big.
Option B.
6.37 km × 10^3 km
= 6.37 km × 10 km × 10 km × 10 km
= 6.37 km × 100 km × 10 km
= 6.37 km × 1,000 km
= 6,370 km
Option B. could possibly be your answer
Option C.
637 km × 10^1 km
= 637 km × 10 km
= 6,370 km
Option C. could also possibly be your answer.
Option D.
63.7 km × 10^2 km
= 63.7 km × 10 km × 10 km
= 63.7 km × 100 km
= 6,370 km
Option D. could also possibly be your answer along with B - C.
This is a tricky answer because we have MORE THAN one result.
So, we will just ELIMINATE A, C, D to make it easier.
Thus, we will say your result is:
Option B. 6.37 × 10^3 kilometers
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
In an amusement park ride, a rider suspended by cables swings back and forth from a tower. The maximum speed v (in meters per second) of the rider can be approximated by v=2gh, where h is the height (in meters) at the top of each swing and g is the acceleration due to gravity (g≈9.8 m/sec^2). Determine the height at the top of the swing of a rider whose maximum speed is 15 meters per second. Round your answer to the nearest tenth.
According to the equation for the maximum speed, it is found that the height at the top of the swing of the rider is of 0.8 m.
What is the equation for the maximum speed?As stated in the problem, it is given by:
v = 2gh.
In which:
v is the maximum speed.g is the gravity.h is the height.In this problem, the parameters are g = 9.8, v = 15. Hence we can solve for h to find the height.
v = 2gh
2 x 9.8h = 15
19.6h = 15
h = 15/19.6
h = 0.8.
The height at the top of the swing of the rider is of 0.8 m.
More can be learned about functions at https://brainly.com/question/25537936
WHO IS GOOD AT MATH AND CAN HELP ME WITH 20 QUESTIONS
The rectangular prisms shown are packed with unit cubes. Match the rectangular prisms that have the same volume.
Answer:
Step-by-step explanation:
In order to find which prisms have the same, we use the formula:
A = L x W x H (Area = Length x Width x Height)
So, count the individual squares on each side, multiply them, and that is the area. Then, find which ones are the same:
Cube 1: A = 4 x 4 x 3 = 48
Cube 2: A = 6 x 4 x 2 = 48
Cube 3: A = 4 x 3 x 3 = 36
Cube 4: A = 8 x 2 x 2 = 32
Cube 5: A = 4 x 2 x 4 = 32
Cube 6: A = 6 x 2 x 3 = 36
So, Cube 1 and Cube 2 are the same with 48.
Cube 3 and Cube 6 are the same with 36.
Cube 4 and Cube 5 are the same with 32.
:)
Answer: 1 and 2, 4 and 5, and 3 and 6.
Step-by-step explanation: To find the volume of a rectangular prism, you multiply the length, width, and height to get the volume. The volumes for each cube is in the order of top left and continue until the bottom right.
48 cubic units.48 cubic units.36 cubic units.32 cubic units.32 cubic units.36 cubic units.From there, you can match them, and then your answer is complete.
Let me know if this is right! :)
Joey has 23 cards in his baseball card collection. Monica has 24 cards in her collection. How many times more cards does Monica have than Joe?
Answer:
Monica has 1 more card than Joey
Step-by-step explanation:
its simple math
Understanding Distance Units
х
Stephen Kiprotich, the 2012 Olympic marathon winner,
completed the 26.219 miles in 128 minutes. What was
his speed in kilometers per minute? ?
What steps should you take to solve this problem?
Answer:
divide
Step-by-step explanation:
divide 26.216 and 128 to get ur anser
write an absolute value equation in the format lx-bl=c (where b is a number and c could be both a number or expression) with one solution x=-3
Diego then says, “If we take half of the first number and double the second, the sum is 14.” Write an equation that represents this clue. What are Diego’s two numbers? I have the first part which is the equation, but i can’t figure out what his two numbers are. Please help! Thank you!
A circular pizza that is 17 inches in diameter is cut into 6 equal slices. What is the area of one of the slices?
The area of one slice is in?
Answer:
51
Step-by-step explanation:
17x6=51
Please help to solve this question
Answer:
Step-by-step explanation:
royalred just started production of a new synthetic motor oil they have overhead costs of $21,804.00 a month plus manufacturing costs of $4.99 per quart of oil the oil sells for $7.36 per quart and the company's profit per month can be determined by the function p(x)=2.37x-21,804, where x is the number of quarts of oil sold over which of the following intervals will the company be making a profit
a: 2,962, 10,580
b: 9,201, 18,860
c: 2,932, infinite
d: 9,200, infinite
Considering the given profit function, it is found that the interval of values of x for which the company makes a profit is:
d: 9,200, infinite.
What is the profit function?Considering x as he number of quarts of oil sold, the monthly profit function is given by:
p(x) = 2.37x + 21,804.
The company makes a profit if p(x) > 0, hence:
p(x) > 0
2.37x + 21,804 > 0
x > 21,804/2.37
x > 9,200.
Which means that option D is correct.
More can be learned about functions at https://brainly.com/question/25537936
solve each system.
(x-1)^2 - (x+2)^2 = 9y
(y-3)^2 - (y+2)^2 = 5x
Answer:
Step-by-step explanation:
y=−2x + 1 over 3
x intercept (1,0)
y-intercept(s): (0,1/2)
hope this helps, you didnt give an exact thing to solve about them.
B^2-6b+9 b=2 evaluate the expression
Answer:
the answer is 5 :)
Step-by-step explanation:
B^2-6b+9 b=2
2^2-6(2)+9
8-6(2)+9
8-12+9
-4 + 9
=5
HELP ASAP
I WILL GIVE BRAINIST
answer:
jesus know the answer
Because of the pitch of the attic's roof, a bookcase that is 5 feet high must be place
as shown. What is the measure of the angle formed by the roof and the floor of the attic
The measure of the angle formed by the roof and the floor of the attic is 22.62 degrees.
Right angle triangle
Right angle triangle are triangle that has one of its angles as 90 degrees. The angles formed can be found using trigonometric ratios.
Therefore,
tan x° = opposite / adjacent
tan x° = 5 / 12
tan x° = 0.41666666666
x = tan⁻¹ 0.41666666666
x = 22.6198649482
x = 22.62°
Therefore, the measure of the angle formed by the roof and the floor of the attic is 22.62 degrees.
learn more on right triangle here:https://brainly.com/question/10412877
Can you reflect an angle over the line y = -x? Explain.
O No, there is not a way to map the vertex of the preimage angle to the vertex of the image angle.
Yes, only angles can be reflected over diagonal lines.
O No, you cannot reflect angles over diagonal lines.
O Yes, you can reflect angles, or any object, in the coordinate plane over any line in the plane.
Answer: Yes, only angles can be reflected over diagonal lines.
Step-by-step explanation:
see photo
investments historically have doubled every 9 years. If you start will a $2,000 investment, how much money would you have after 45 years?
Answer:
$64,000
Step-by-step explanation:
Friday, 45 / 9 = 5
So the investment will double 5 times
First time
2,000 (starting investment) × 2 = 4000
Second time
4000 × 2 = 8000
Third time
8000 × 2 = 16000
Fourth time
16000 × 2 = 32000
Fifth and final time
32000 × 2 = 64000
$64,000
which of the following is not a pythagorean triple
(5,12,13)
(8, 15 17)
(5, 8, 9)
(6, 8, 10)
Answer:
C. (5, 8, 9)
Step-by-step explanation:
Put the triples into the Pythagorean Theorem and see if they come out true.
a² + b² = c²
5² + 12² = 13²
25 + 144 = 169
169 = 169
5, 12, and 13 are a Pythagorean Triple.
a² + b² + c²
8² + 15² = 17²
64 + 225 = 289
289 = 289
8, 15, and 17 are a Pythagorean Triple.
a² + b² = c²
5² + 8² = 9²
25 + 64 = 81
89 ≠ 81
5, 8, and 9 are NOT a Pythagorean Triple.
a² + b² = c²
6² + 8² = 10²
36 + 64 = 100
100 = 100
6, 8, and 10 are a Pythagorean Triple.
One number is 32 more than another. Their product is −256.
Answer:
ok so this is a system of equations
x+32=y
x*y=-256
so lets just make y x+32
x^2+32=-256
-32
x^2=-288
find root
this can't be solved since negitive numbers don't have roots
Hope This Helps!!!
please helpppppppppppppppp ?
Answer: (x + 4)(x + 4)
x² + 8x + 16
x² + 4x + 4x + 16
Step-by-step explanation:
See the image below.
Jill wants to have ride at least 144 miles on her bike. Her riding speed is 9 miles per hour. Which inequality(s) represents how many h hours she needs to ride?
Hey there!
Let's make an equation
=> 9h = 144
{ Make h the subject of formula}
=> 9h = 144
=> 9h/9 = 144/9
=> h = 144/9
=> h = 16
50 POINTS CORRECT ANSWER ONLY!! PLEASE HELP ASAP
Aurora is planning to participate in an event at her school's field day that requires her to complete tasks at various stations in the fastest time possible. To prepare for the event, she is practicing and keeping track of her time to complete each station.
The x-coordinate is the station number, and the y-coordinate is the time in minutes since the start of the race that she completed the task.
(1, 2), (2, 4), (3, 8), (4, 16)
Use a recursive formula to determine the time she will complete station 5. Show your work.
Geometric Recursive Formula
f(n) = f(n − 1) • r
Answer:
ask 23
Step-by-step explanation:
(1, 2), (2, 4), (3, 8), (4, 16)
Use a recursive formula to determine the time she will complete station 5. Show your work.
Geometric Recursive Formula
f(n) = f(n − 1) • r
Answer:
f(n) = f(n − 1) • 2
Step-by-step explanation:
f(1) = 2
f(2) = 4
f(3) = 8
f(4) = 16
Geometric Recursive formula: f(n) = f(n − 1) • r
where r is the common ratio
To determine r, divide one term by the previous term:
[tex]\sf r=\dfrac{f(n)}{f(n-1)}=\dfrac{16}{8}=\dfrac{8}{4}=\dfrac{4}{2}=2[/tex]
Therefore, f(n) = f(n − 1) • 2