Answers
Answer:
-4
Step-by-step explanation:
Related Questions
The half-life of a certain radioactive material is 37 days. An initial amount of the material has
a mass of 477 kg. Write an exponential function that models the decay of this material. Find
how much radioactive material remains after 6 days. Round your answer to the nearest
thousandth.
Answers
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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What is the volume of a cylinder, in cubic inches, with a height of 2 inches and a base diameter of 4 inches? Round to the nearest tenths place
Answers
Answer:
the answer for the volume of the cylinder is V≈25.13in³
Answer:
h=2 d=4
r=4/2 , radius is half of the diameter
r=2
V=π r^2h
V= π x (2)²×2
substitute variables into formula V=25.132741228718
the nearest tenths place V=25.1 inches
Which function has the same y-intercept as the function
Answers
Answer:
221
Step-by-step explanation:
Substitute x and y in the equation
Answers
If you look at the graph, you can see that in each dot the y equals to 50 Times x.
Such at the first dot, the location is at (1,50). 1*50=50
And at the second dot the location is at (2,100). 50*2=100
And at the last dot, the location is at (8,400). 8*50=400
A rectangle has a height of 7a^2 and a width of a^4+5a^2+4.
Express the area of the entire rectangle.
Answers
If all the dates in June were used to form a sequence, would the sequence be finite or infinite?
Finite
Infinite
Answers
if there are fewer than 4 gallons of gas in the tank, what is the inequality?
Answers
Answer: G < 8
Step-by-step explanation:
G as a variable for gallons
A rectangle has width twice its height. If the perimeter is 12cm what are the dimensions of the rectangle?
Answers
Answer: height = length = 2 cm
Width = 4 cm
Step-by-step explanation:
P = 2 (l + b)
12 = 2 (x + 2x)
12 = 2x + 4x
12 = 6x
X = 12/2 = 2 cm
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.
Answers
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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In Circle C, EA and FB are diameters. Identify the following Two major arcs.
Answers
Answer:
See explanation
Step-by-step explanation:
Two major arcs:
[tex] \widehat {EAB}, \:\:\widehat {FAD}[/tex]
Two minor arcs:
[tex] \widehat {EF}, \:\:\widehat {AB}[/tex]
Which of the following shows the correct simplification assuming the denominator is not equal to zero?
Answers
Answer:
[tex]=\frac{3x+2}{x\left(x+1\right)}[/tex]
or
[tex]\frac{(3x+2)}{x^2+x}[/tex]
Step-by-step explanation:
[tex]\frac{2}{x}+\frac{1}{x+1}\\\mathrm{Least\:Common\:Multiplier\:of\:}x,\:x+1:\quad x\left(x+1\right)\\Adjust\:Fractions\:based\:on\:the\:LCM\\Multiply\:each\:numerator\:by\:the\:same\:amount\:needed\:to\:multiply\:its\\\mathrm{corresponding\:denominator\:to\:turn\:it\:into\:the\:LCM}\:x\left(x+1\right)\\\mathrm{For}\:\frac{2}{x}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:x+1\\\frac{2}{x}=\frac{2\left(x+1\right)}{x\left(x+1\right)}\\[/tex]
[tex]\mathrm{For}\:\frac{1}{x+1}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:x\\\frac{1}{x+1}=\frac{1\cdot \:x}{\left(x+1\right)x}=\frac{x}{x\left(x+1\right)}\\=\frac{2\left(x+1\right)}{x\left(x+1\right)}+\frac{x}{x\left(x+1\right)}\\\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\=\frac{2\left(x+1\right)+x}{x\left(x+1\right)}\\[/tex]
[tex]\mathrm{Expand}\:2\left(x+1\right)+x:\quad 3x+2\\2\left(x+1\right)+x\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=2,\:b=x,\:c=1\\=2x+2\cdot \:1\\\mathrm{Multiply\:the\:numbers:}\:2\cdot \:1=2\\=2x+2\\\mathrm{Simplify}\:2x+2+x:\quad 3x+2\\2x+2+x\\\mathrm{Group\:like\:terms}\\=2x+x+2\\\\mathrm{Add\:similar\:elements:}\:2x+x=3x\\=3x+2\\=\frac{3x+2}{x\left(x+1\right)}[/tex]
marking brainliest :)
Answers
Answer:
B
Step-by-step explanation:
Answer:
i think B
Step-by-step explanation:
A charity is holding a raffle and sells 2000 tickets for $2 each. One ticket will win a grand
prize of $500. Two other tickets will be selected to win consolation prizes of $50 each.
Find the expected value if you buy one raffle ticket.
You would expect to lose $1.80 for each ticket purchased
You would expect to lose $ 1.55 for each ticket purchased
You would expect to lose $1.70 for each ticket purchased
You would expect to lose $1.60 for each ticket purchased
Answers
Answer:
Lose $1.70 for each ticket you purchase
Step-by-step explanation:
($500 x 1/2000) + ($50 x 2/2000) - $2
$0.25 + $0.05 - $2
-$1.70
a baseball game has a total of 9 inning. in each inning there are 2 teams that each have to make 3 outs in order for the inning to be complete
Answers
Sanaa has 38 homework problems to finish. She finishes the first 14 problems in 25 minutes.
How long will it take her to finish the rest of the assignment, if she continues at the same pace?
Answers
Answer:
60 mins or 1 hour
Step-by-step explanation:
14 x 2 : 28 - 25 plus 25 is 50 min
38- 28 is 10
50 plus 10 is 60 min Or 1 hour
Answer:
1 hr
Step-by-step explanation:
What the product of (-4)(-9)(-2)
Answers
Answer:
-72
Step-by-step explanation:
Answer:
-72
Step-by-step explanation:
36(-2)
-72
George bought a cylindrical water tank for his garden, but he forgot to ask the seller what the diameter of the tank was. He needs to know the diameter of the tank so that he can build a platform for it to sit on. The seller told him the Volume and the height, calculate the diameter of the tank using the information below.
The volume of the tank is 252π 〖ft〗^3 and its height is 7ft.
Answers
Answer:
12 ft
Step-by-step explanation:
252π/7=36π, so r=6. d=r*2=12 ft
Find the missing probability. P(A and B) = ______, P(B|A) = 1/5, P(A) = 3/4
3/20
3/4
4/3
4/15
Answers
Answer:
4/45
Step-by-step explanation:
the answe ris 45
Can anyone please make up some easy questions for me to do? I need at least five
Answers
Answer:
well ig thats good
Step-by-step explanation:
thanks
Answer:16/4
10^2
10Y-10=110
20/5
100/20
Step-by-step explanation:
I need answers , I don’t know this math??
Answers
Please help! Its one of my last! Will give brainliest.
A polygon plotted on the coordinate plane has 6 vertices. What is the shape of the polygon? *
Answers
Answer:
hexagon
Step-by-step explanation:
A hexagon has six vertices. Hope that this helps you and have a great day
Answer:
Hexagon
An object that has six vertices will form a Hexagon on a coordinate plane
Event A: stops on red
Event B: stops on yellow
Find P(A or B)
A.) 1/4
B.) 1/8
C.) 1/2
D.) 1/16
Answers
Answer:it is 1/2
Hopefully this helps
Answer:
Event A: stops on red
Event B: stops on yellow
Find P(A or B)
1/2
if y=4x-1, determine the value of y when x=7/2
Answers
Answer:
y=13
Step-by-step explanation:
Answer:
y =13
Step-by-step explanation:
y=4x-1
Let x = 7/2
y = 4(7/2) -1
y = 14 -1
y =13
One endpoint of a line segment is (–6, 4), and the midpoint of the segment is (–2, 7). What are the coordinates of the other endpoint?
A. (2, 10)
B. (−10, 1)
C. (3, 11)
D. (−10, 18)
Answers
Answer:
A. (2, 10)
Step-by-step explanation:
If there are two points (x1,y1) and (x2,y2) on a coordinates plane then
coordinates of the midpoint is given by (x1+x2)/2, (y1+y2)/2
__________________________________________________
Given
one endpoint is (–6, 4) and midpoint is (–2, 7)
let coordinates of other endpoint be (x,y)
now if one endpoint is (–6, 4) and other endpoint is (x,y)
then coordinates of midpoint is ((-6+x)/2 , (4+y)/2)
while the coordinates of midpoint given is (–2, 7)
thus (–2, 7) should be equal to ((-6+x)/2 , (4+y)/2)
-2 = (-6+x)/2 and 7 = (4+y)/2
=> -2*2 = -6+x => 7*2 = 4+y
=> -4 = -6+x => 14 = 4+y
=> -4+6 = x => 14-4 = y
=> x = 2 => 10 = y
Thus, coordinates of the other endpoint is(2,10)
evaluate the following f(-2)=2x-7
Answers
Answer:
-11
Step-by-step explanation:
f(x)=2x-7
Let x = -2
f(-2)=2(-2)-7
= -4 -7
= -11
What’s is the missing leg length
Answers
Answer: a= 96
Step-by-step explanation:
28^2 + a^2 = 100^2
784 + a^2 = 10000
-784 -784
a^2 = 9216
a= 96
Identify a central angle in the figure.
A)
ZBCD
ZBFC
ZFAE
ZFCO
Answers
Answer:
a is your answer is am correct
The diagram below shows ΔPQT; its altitude, which is segment PR ; and some of its measurements.
(a) What is mTPR? Show or explain how you got your answer.
For Parts (b), (c), and (d), write the exact answer in simplified radical form.
(b) What is the length, in inches, of segment PR? Explain your answer.
(c) What is the length, in inches, of segment TR? Explain your answer.
(d) What is the length, in inches, of segment PQ? Explain your answer.
Answers
Answer:
i need some poitns plssss
If x+y = b and −x+3y=a, then what is y?
Answers
simplify the expression.
[tex]\sqrt{28c^{5}d^{2} }[/tex]
