Answer is option B that ends with 426.288 kg.
The exponential function that models the decay of this material is [tex]477(\frac{1}{2})^{(\frac{t}{37} )}[/tex] and the quantity of substance remains is 426.28 grams
What is Half life?Half-life, in radioactivity, the interval of time required for one-half of the atomic nuclei of a radioactive sample to decay.
What is Radioactive material?Radionuclides (or radioactive materials) are a class of chemicals where the nucleus of the atom is unstable
Given,
Half life of a certain radioactive material = 37 days
Initial amount of the material = 477 grams
Quantity of substance remains N(t) = [tex]N_{0}(\frac{1}{2})^{(\frac{t}{half-life} )}[/tex]
Substitute the value in the equation N(t) =[tex]477(\frac{1}{2})^{(\frac{t}{37} )}[/tex]
[tex]477(\frac{1}{2})^{(\frac{t}{37} )}[/tex] is the exponential function that models the decay of this material.
Quantity of substance remains after 6 days = [tex]477(\frac{1}{2})^{(\frac{6}{37} )}[/tex] = 426.28 grams
Hence, the exponential function that models the decay of this material is [tex]477(\frac{1}{2})^{(\frac{t}{37} )}[/tex] and Quantity of substance remains is 426.28 grams
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The table shows the relationship between the number of minutes that a hose
has been on and the number of gallons of water that have been added to a
plastic pool. Which statement is true?
0
5
10
15
20
Minutes Hose
On
Gallons of
Water in Pool
0
80
120
160
»
» The relationship is additive because
the number of minutes can be found
by adding 5 to the number of gallons.
The relationship is additive because
the number of gallons can be found by
adding 5 to the number of minutes.
»
The relationship is multiplicative
because the number of gallons can be
found by multiplying the number of
minutes by 8.
The relationship is multiplicative
because the number of minutes can
be found by multiplying the number of
gallons by 8.
Answer:
(C)The relationship is multiplicative because the number of gallons can be
found by multiplying the number of minutes by 8.
Step-by-step explanation:
Given the table below which shows the relationship between the number of minutes that a hose has been on and the number of gallons of water that have been added to a plastic pool.
[tex]\left|\begin{array}{c|c}$Minutes Hose On&$Gallons of Water in Pool\\-------&-------\\0&0\\5&40\\10&80\\15&120\\20&160\end{array}\right|[/tex]
We can see that if we multiply the first column by 8, we will obtain the second column. Therefore the relationship is multiplicative because the number of gallons can be found by multiplying the number of minutes by 8.
The correct option is C.
Describe the pattern of the number sequence 1, 9, 17, 25, 33, .... by using algebraic expressions
Answer:
8n + 1, where n is a whole number greater than or equal to 0.
Step-by-step explanation:
Every number on this list is one more than a multiple of 8, so if n is a whole number great than or equal to 0, the expression 8n describes every multiple of 8, and 8n + 1 describes every number one more than a multiple of 8.
The sequence is an arithmetic sequence.
The pattern is 1 + (n - 1)8.
What is an arithmetic sequence?It is a sequence where the difference between each consecutive term is the same.
Example:
2, 4, 6, 8 is an arithmetic sequence.
We have,
1, 9, 17, 25, 33,....
This is an arithmetic sequence.
The first term is 1.
a = 1
The common difference is 8.
d = 8
i.e
9 - 1 = 8
17 - 9 = 8
25 - 17 = 8
The nth term of an arithmetic sequence.
= a + (n -1)d
= 1 + (n - 1)8
Thus,
The pattern of the sequence is 1 + (n - 1)8.
Where n is the term of the number.
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The number of points Emerson scored in 5 basketball games is 10, 8, 9, 8,
and 30. Why might it be misleading to Emerson to say that she averages 13
points per game? *
Answer:
because she usually gets lower scores but her avarge is 13 because she make 30 in one game witch is an outlire
Step-by-step explanation:
if im wrong im sorry if not pls brainlyest
If a data value in a normal distribution has a negative z-score, which of the following must be true?
WHERE ARE THE FOLLOWING?
Answer:
C. The data value must be less than the mean
Step-by-step explanation:
Took the quiz on edge:)
PLS HELP....I WILL GIVE YOU BRAINLIEST!!!!!!!!!!
Express as a percent:
1/6:
1/3:
2/3:
5/6:
Look at the attached picture
Hope it will help you
Good luck on your assignment
Five more than a certain number is 11 less than double the number
Answer:
The number is 16
Step-by-step explanation:
Five more than a certain number is 11 less than double the number
x+5 = 2x-11
11+5 = 2x-x
16 = x
Wanda decided to purchase a $33,000 MSRP vehicle at a 6.5% interest rate
for 3 years. The dealership offered her a $5500 cash-back incentive, which
she accepted. Taking all these factors into consideration, what monthly
payment amount can she expect?
Answer: $842.85
Step-by-step explanation:
Simplify.
100x(5 - 3p)
500x - 3p
5x - 300p
500x - 300p
500x - 300px
Answer:
Step-by-step explanation:
100x(5-3p)=500x-300px
MULTIPLE CHOICE:
A. x2 + 1 = 2x − 3
B. x2 – 2x − 1 = 3
C. x2 + 2x − 1 = 3
D. x2 + 2x − 1 = -3
Answer:
C
Step-by-step explanation:
The first term -2 is also -B; therefore A and B can be eliminated.
-1+3 is 2, and -4 is the only term used in the formula, so D is also eliminated
Using the graphing function on your calculator, find the solution to the system
of equations shown below.
y+ x = 3
y-2x = -12
A. No solution
B. x = -2, y = 5
C. x = 5, y = -2
D. More than 1 solution
Answer:
C. x = 5, y = -2
Step-by-step explanation:
I graphed the equations on the graph below.
If this answer is correct, please make me Brainliest!
Please help me I have to go to a class and I need this fast
Answer:
5) Mode = 63 6) Mode = 74
Range = 70 Median = 74
Median = 63 Range = 57
Mean = 58.75 Mean = 68.7
Step-by-step explanation:
omg please help meee fastttt
Answer:
Jill will make less money if they both work 3 hours
Step-by-step explanation:
Trust me. I hope this helps :)
The last option(D)
Two cars are 270 miles apart and traveling toward each other on the same road. They meet in 3 hours. One car is traveling 6 mph faster than the other. What is the speed of each car?
Answer:
42
Step-by-step explanation:
3(x+x+6)=270
3(2x+6)=270
6x+18=270
6x=252
x=42
PLSSSS help
Marking BRainlist
Answer: x = 14 for the first one, x = 4 for the second
Step-by-step explanation:
8x - 9 = 7x + 5
subtract 7x from both sides
x - 9 = 5
add 9 to both sides
x = 14
8x + 9 = 3x + 29
subtract 3x from both sides
5x + 9 = 29
subtract 9 from both sides
5x = 20
divide both sides by 5
x = 4
PLEASE HELP IM DUMB AND I NED THIS ASAP
Width (7.8) x length (7.8) x width (7.8) = 474.552
A car travels m miles per hour. Which variable expression represents the number of miles traveled in 8 hours?
A. m/8
b. m-8
c. 8m
d. 8÷m
Answer:A Idk if this is right!
Which choice is equivalent to the expression 4(x+2y)? I need it right now please!
Answer:
4x+8y
Step-by-step explanation:
you use distributive property
you multiply 4 times x
and 2y times 4
hope this helps
I WILL GIVE YOU BRAINLIEST, AND 30 POINTS SO PLEASE HELP ME, IT'S URGENT!
Answer:
31.5 units^2
Step-by-step explanation:
This is a right triangle
The x dimension is from B to C
-4 to 3 is 7 units
The y dimension is from A to B
5 to -4 = 9 units
The area of a triangle is
A = 1/2 bh
A = 1/2 (7)(9)
= 31.5
Answer:
First one:
31.5 units²
Step-by-step explanation:
AB: 5 - (-4) = 9 units
BC: 3 - (-4) = 7 units
ABC is a right angle triangle with 90° at B
Base: BC
Height: AB
Area:
½ × base × height
½ × 7 × 9
31.5 units²
Find the least number which must be added to each of the following numbers to make them a perfect square. Also find the square root of the perfect square number so obtained: a) 5678
Answer:2
Step-by-step explanation:22*
Answer:
5 = 25 = 5
6 = 36 = 6
7 = NA
8 = 81 = 9
A certain radioactive isotope decays at a rate of 2% per 100 years. If t represents the amount of the isotope left then the equation for the situation is
Answer:
y=y0e^-0.0002t
Step-by-step explanation:
Find the volume of the following solid figure. Use = 3.14.
V = 4/31tr3. A sphere has a radius of 4.5 inches.
Volume (to the nearest tenth) =
cubic inches.
381.5
56.5
84.8
PLEASEEE HELP
Which table represents a linear function
Use the law of sines to find the length of side c.
C
be
41.59
37
42°
А
С
CD
O A. 36.64
B. 54.94
C. 37
37 36
Without the calculator let's just estimate that .5/42 = 1.2% change in the angle; we reduce the length a=37 by 1.2% to get 37×.988=36.556. That's probably good enough to choose A.
Let's do it the way they want.
[tex]\dfrac{\sin C}{c} = \dfrac{\sin A}{a}[/tex]
[tex]c = \dfrac{a \sin C}{\sin A} = \dfrac{37 \sin 41.5}{\sin 42} = 36.6400[/tex]
Answer: A
Estimate worked. Sine is approximately linear when the range is small enough.
Henry has at least 3 times as much money as Deb. Using x= the amount of money Deb has and y= the amount of Henry has, write a inequality that would show all the possible amount of money that each could have. Give one possible solution
Answer:
y ≥ 3x
Possible solution: x=1, y=3
Step-by-step explanation:
Since Henry has atleast 3 times as much money as Deb
y=3x
y must always be greater than or equal to 3x
if x=1 y=3
I NEED HELPPPPP!!!! PLZZZ
Answer:
13.5
Step-by-step explanation:
Olga decided to purchase a $22,000 MSRP vehicle at a 4.5% interest rate for 4
years. The dealership offered her a $2500 cash-back incentive, which she
accepted. Taking all these factors into consideration, what monthly payment
amount can she expect?
Answer:
479.375
Step-by-step explanation:
Answer:
$444.67
Step-by-step explanation:
A P E X
Calculate the following percent using fraction equivalents. 50% of 64
Answer:
Step-by-step explanation:
50% is [tex]\frac{50}{100}[/tex] but we're working with 64 units, not 100. So, we must find a number that represents 50 but in 64 units.
[tex]\frac{50}{100}=\frac{x}{64}[/tex]
If you solve for x, you get:
[tex]x=\frac{50*64}{100}\\ x=32[/tex]
[tex]\frac{50}{100}=\frac{32}{64}[/tex]
PLEASE HELP WILL GIVE BRAINLIEST What is the sign of 4ab when a>0 and b<0
a. Positive
b. Negative
c. Zero
Answer: b
Step-by-step explanation:
4ab
[tex]a>0[/tex] a will always be positive.
[tex]b<0[/tex] b will always be negative.
4(a)(-b)
-4ab
Answer:
the answer is A
Step-by-step explanation:
khan said so
Please help ;-;, I really need it-
Answer:
See below
Step-by-step explanation:
For a more detailed explanation, take a look at PDF below;
Surface Area of First Figure; 544 in^2,
Surface Area of Second Figure; 276 ft^2,
Surface Area of Third Figure; 1240 yd^2
Rosalia went on a long bike ride. The table shows how long she biked and the distance she traveled. Determine whether the relationship between hours biked and miles traveled is proportional.
Answer:
There needs to be a graph.
Step-by-step explanation:
The rate of change is not the same for all the cases so, the relationship between hours biked, and the miles traveled is not proportional.
What is proportionality?We use constant of proportionality in mathematics to calculate the rate of change and at the same time determine if it is direct variation or inverse variation that we are dealing with.
From the table, we need to find the rate of change between two given hours and the miles traveled at that time.
Now,
Between 1 hour and 2 hours.
The rate of change.
= (26 - 12) / (2 -1)
= 14 / 1
= 14
Between 2 hours and 3 hours.
The rate of change.
= (30 - 26) / (3 - 2)
= 4 / 1
= 4
Between 3 hours and 4 hours.
The rate of change.
= (48 - 30) / (4 - 3)
= 18 / 1
= 18
Since,
The rate of change is not the same for all the cases so,
Hence, the relationship between hours biked, and the miles traveled is not proportional.
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