Please help fast!!!
The table represents some points on the graph of the exponential function that models the radioactive decay of a
sample of xenon-135.
Xenon-135 Sample
Time, x
(hours)
Mass, y
(grams)
0
70
4.6
49.5
9.2
35
13.8
24.7
18.4
17.5
Which statement about the graph of this function is true?
Answers
Answer:B
Step-by-step explanation:
The exponential curve passes through the point (0, 70). Then the correct option is B.
What is an exponent?Let a be the initial value and x be the power of the exponent function and b be the increasing factor.
The exponent is given as
y = a(b)ˣ
The table addresses a few focuses on the diagram of the outstanding capability that models the radioactive rot of an example of xenon-135.
At x = 4.6, the value of 'y' will be 49.5.
[tex]\rm 49.5 = ab^{4.6} \ \ \ \ \ \ \ ...1\\[/tex]
At x = 9.2, the value of 'y' will be 35.
[tex]\rm 35= ab^{9.2} \ \ \ \ \ \ \ ...2[/tex]
From equations 1 and 2, then we have
[tex]\rm \dfrac{b^{9.2}}{b^{4.6}} = \dfrac{35}{49.5}\\\\b^{4.6} = 0.707\\\\b = 0.927\\[/tex]
Then the value of 'a' will be
[tex]\rm 49.5 = a (0.927)^{4.6}\\\\a = 70[/tex]
Then the equation is given as,
y = 70 · (0.927)ˣ
The graph is given below.
The exponential curve passes through the point (0, 70). Then the correct option is B.
More about the exponent link is given below.
https://brainly.com/question/5497425
#SPJ2
The missing options are given below.
A) There is an asymptote at y = 70.
B) The y-intercept is located at (0, 70).
C) There is an asymptote at x = 0.
D) The x-intercept is located at (70, 0).
Related Questions
The average distance from the Sun to Mars is 22,793, 910,000,000 centimeters.
The conversion factors between centimeters and four other units of measure are shown below.
9.46. 10^17 cm = 1 light-year
1.50.10^13 cm = 1 astronomical
1 . 10^5 cm = 1 kilometer
1. 10^2 = 1 meter
For the distance to be expressed as x units of measure, where 1 < x < 10, which unit of measure must be used?
A Light-years
B) Astronomical units
C)Kilometers
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Answers
GMMMMMMM
put random things that don't make
I'm going to the strawberry patch to pick some pears because I forgot to turn off my tv
Answers
Answer:
vibe but hope u have a good day
Step-by-step explanation:
Answer:
Im very confused but sometimes when my parents arent home i go to my garden and bury myself in the ground and pretend imma carrot
Step-by-step explanation:
UnU
What is the product: (х + 5)(х + 12) =
Aх2 + 12х + 52
Bх2 + 17
Cх2 - 60
Dx^2 + 17x + 60
E60x72
Answers
Answer:
The product is [tex]x^{2}+17x+ 60[/tex]
Simplify 8x + 4xy - 2y + 5xy - 3x + 7xy
Answers
please help me asap, i wi give brainliest!! <3
Answers
Answer:
the answer would be 132
Step-by-step explanation:
180-48=132
HELP ME PLEASE I DONT UNDERSTAND
Answers
Solve (-5/2)x ‐ 5 = -55
Answers
Answer: 5
Step-by-step explanation: add 5 on each side and you get -50 then divide -5/2 with -50 and get 5
Solve for x.
(13x + 12)
Answers
Answer:
=13x+12
Step-by-step explanation:
Which quadrant does the terminal side of a -145° angle lie in?
Answers
-145 = -90 - 55
This means we move counterclockwise through quadrant IV (4) and into quadrant III (3)
what is y=2x+4 written in standard form
Answers
can u please help me? i’ll give brainliest
Answers
A
B
Hope this helps
the ratio 20 minuets to 1 hour can be written in the form 1:n
find the value of n
Answers
the answer is 1:3 since there are 60 minutes in on hour you divide 60 by 20 and get 3 so you have 3 sets of twenty minutes to one hour. so n is 3
class 7th maths chapter 13 Exponents of Power This is Test question
Answers
Answer:
-11/7
Step-by-step explanation:
How far can a caterpillar; traveling at 0.06m/s, move in 60 seconds?
Answers
Answer:
3.6 meters in 60 seconds
Find the missing section. Answers must be in fraction form.
Answers
Answer:
[tex]\frac{1}{10}[/tex]
Step-by-step explanation:
We have a circle that is split in three sections, two of which we know and we are asked to find the third missing section.
For the circle, we know that 4/5 and 1/10 is fit. Now we need the last one, to solve, we need to get the same denominator and see how much is missing.
Since 1/10 is our highest denominator, let's change 4/5 to have 10 as a denominator. Which would be through multiplying 5 to get 10.
What times 5 equals 10?
2
Now multiply both numerator and denominator by 2 to get our portion.
[tex]\frac{4*2}{5*2}[/tex]
[tex]\frac{8}{10}[/tex]
Now we have the same denominator, let's add our two fractions and see how much we have left.
8/10 + 1/10
9/10
We have 1/10 missing, therefore 1/10 is the answer.
i need help with both 9 and 10
Answers
I'll answer problem 9 to get you started
Answer: Choice (2) 3x-1 = 2x+3===============================================
Explanation:
We will plug x = 7 into each equation or inequality given to us. Then we determine if we get a true statement or not.
----------------
Let's start with choice (1)
x + 3 > 6
7 + 3 > 6 .... x is replaced with 7
10 > 6
Since 10 is larger than 6, this makes the last inequality true. Therefore, the first inequality is true when x = 7. So we can rule out choice (1) since we are looking for a false statement.
----------------
Move onto choice (2)
3x-1 = 2x+3
3*7-1 = 2*7+3 ... replace every x with 7
21-1 = 14+3
20 = 17
This is false since we don't get the same number on each side. Therefore, choice (2) is the final answer.
----------------
Since we found the answer, we can stop here. But let's keep going to check the others.
choice (3)
2(x+1) = x+9
2*(7+1) = 7+9 ... plug in x = 7
2*(8) = 16
16 = 16
We get the same thing on both sides, so the equation is true. We can rule out choice (3).
-----------------
Now onto choice (4)
[tex]-2x + 10 \le 0\\\\-2*7 + 10 \le 0\\\\-14 + 10 \le 0\\\\-4 \le 0\\\\[/tex]
This is true since -4 is to the left of 0 on the number line, which makes -4 smaller than 0. We can rule out choice (4).
A sofa company offers two deals.
You can get 15% off the full price of £1300 or pay a deposit of £500 plus 6 monthly payments of £112
Show which is the better deal.
Answers
Answer:
The first deal is the better one.
Step-by-step explanation:
first deal: you have to play 1105£ in total.
second deal: you have to pay 1172£ in total.
Answer:
first offer : £1105
Step-by-step explanation:
1300÷0.15=195
so price will be £1105
second offer
£1300-500=800
112X6=£672
800+672=£1472
What is the domain of the function graphed?
Answers
Answer:
C lets look at were this line starts which is in between 7 and 8 right in the middle making it 7.5 it is negative because the point is on the negative side of our graph. Where the line ends in on positive 2 on the x-axis. -Your friend, Bill Cipher
Step-by-step explanation:
find the intercepts of given line 6x+5y=30
Answers
Answer:
x-intercept
Put y=0
x=5
y-intercept
putx=0
y=6
Step-by-step explanation:
Factor Completely 14bx^2-7x^3-4b+2x
Answers
Answer:
=14bx2−7x3−4b+2x
Step-by-step explanation:
Given f (x) = 9x– 15, find f (3).
Answers
F(3)=9x-15+15
+15
18/9 x=2
Answer:
f(3)=12 should be the answer
Step-by-step explanation:
replace x with 3 and solve
solve for r, A=P(1+mr)
Answers
— - —
Pm m
:)
A fence is being built in the shape of a right triangle. Each leg is 30 feet
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Answers
Answer:
42.42641
Step-by-step explanation:
PLS HELP !!
A total of 78 seats for a local concert are sold, producing a total revenue of $483.
If seats cost either $2.50 or $10.50, how many of the $2.50 seats were sold?
seats.
Part B
How many of the $10.50 seats were sold?
seats
Answers
Answer:
add them then multiply
Step-by-step explanation:
7. Find the slope. Make sure to reduce.
Answers
Answer:
The slope is zero
Step-by-step explanation:
.........
Why? When the line is flat right horizontal with not increase or decrease it is considered a zero slope. (NOT UNDEFINED, it is defined, it’s defined as zero)
Look at triangles TUV and T'U'V'.Which best explains the transformation of triangle TUV to form triangle T'U'V'?
Answers
Answer:
The answer is D or Triangle TUV is dilated by a scale factor of 9 and then translated 2 units right and 1 unit down to form triangle T"U"V" . I just took the test and I hope I helped : )
Step-by-step explanation:
please help due at 11 !! thank you so much
Answers
Answer:
13cm
Step-by-step explanation:
The pythagorean theorem states that, for right triangles, [tex]a^{2} +b^{2} =c^{2}[/tex]. Using this equation, we can solve for the hypotenuse.
a = 12cm
b = 5cm
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[tex]12^{2} +5^{2} =c^{2}[/tex]
[tex]144+25=c^{2}[/tex]
[tex]\sqrt{169} =c[/tex]
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Answer:
13
Step-by-step explanation:
a^2+b^2=c^2
12^2+5^2=c^2
144+25=c^2
169
square root of 169=13
13=c
The height of a mountain is 26,400 feet. What is the height of the mountain in miles?
Answers
Step-by-step explanation:
Height of Mountain in feet = 26400 feet
Height of Mountain in Miles = 5 miles
Hope it will help :)
Answer:
5 milesfollow mePlease help me I'm dying D: I'll mark brainliest :>
Answers
Answer:
6 2/3
Paul made $205
2/3+3 3/4 = 4 5/12
240 students in sixth grade
15 oz for $1.29
Step-by-step explanation:
5/(3/4) = 5/1x4/3 = 20/3 = 6 2/3
proof:
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Answers
Answer:
(3,2)
Step-by-step explanation: