Answer:
a)4.15 years
b)22.18 years
c)188.53 years
d)3027.66 years
Step-by-step explanation:
Formula : [tex]P(X\leq t)=1-e^{\frac{-t}{\lambda}}[/tex]
So, [tex]P(X>t)=1-(1-e^{\frac{-t}{\lambda}})[/tex]
[tex]P(X>t)=e^{\frac{-t}{\lambda}}[/tex]
We are given that The half-life of such a persistent poison is that time beyond which the probability is .50 that a particular molecule will remain toxic i.e. P(X>t)=0.5
So, [tex]e^{\frac{-t}{\lambda}}=0.5[/tex]
Taking natural log both sides
[tex]ln(e^{\frac{-t}{\lambda}})=ln(0.5)\\\frac{-t}{\lambda}=ln(0.5)\\t=-\lambda ln(0.5)[/tex]
a)
[tex]\lambda =6[/tex]
t=-(6) ln(0.5)=4.15 years
b)
[tex]\lambda =32[/tex]
t=-(32) ln(0.5)=22.18 years
c)
[tex]\lambda =272[/tex]
t=-(272) ln(0.5)=188.53 years
d)
[tex]\lambda =4368[/tex]
t=-(4368) ln(0.5)=3027.66 years
A bag contains 13 cups of cat food. Your cats eat 1 1/2 cups of cat food each day .Is there enough to last 2 weeks
HELP PLZ!!! IM RUNNING OUT OF TIME!!! 100PTS!!!
What is the slope of the line passing through the two given coordinates: f(0) = 3, and f(2)=11. Round your answer to the nearest integer.
Answer:
the slope is 2/11 pls give me brainliest cause I gave you the actual answer and didnt use u for points
which relation is a function. ( I chose option D) but not 100% sure. Need help ASAP. Will Mark Brainlest.
rjfkdmfmfmfmfmggmgm
Answer:
same
Step-by-step explanation:
Could anyone be willing to help me with any of these 3 questions? :)
Answer:
X is 70
Y is 110
Z is 30
Step-by-step explanation:
Because a trangle have 180 degree inside
Answer:
Step-by-step explanation:
second one - for this one you would do 90 +30 = 120
then take this from 180 to get 60 . so if you can see that the shape is an f but that's if you take away the sides with the right angles . the corresponding angle rule (you can see an F shape) means that the angle that i just worked out is the same as angle c so angle c=60
third one - for this one do 70+30 then take this answer away from 180
that angle x
the rule for angle y is the vertically opposite angle rule - angle s that are vertically opposite are the same angle y= angle x - same angle
FIRST RIGHT GETS BRAINLIEST
Answer:
20
Step-by-step explanation:
every line is a multiple of 2.
Answer:
The answer is 20
Step-by-step explanation:
The first line is 0 then is goes by two
0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20.
(6*10^3)(2*10^5)
HELP please
Answer:
(216000)(3200000)
Step-by-step explanation:
6*10=60
60*60*60=216000
2*10=20
20*20*20*20*20=3200000
Simplify square root -200
Answer:
10 i sqrt 2
Step-by-step explanation:
i indicates that it is an imaginary number. this is because 200 is negative.
The simplified form of the given square root number is 10i√2. Therefore, the correct answer is option D.
The given square root number is √-200.
The square root of a number is the inverse operation of squaring a number. The square of a number is the value that is obtained when we multiply the number by itself, while the square root of a number is obtained by finding a number that when squared gives the original number.
Here, 200 = 2×2×2×5×5
Thus, √-200=√-2×2×2×5×5
=2×5×i√2
= 10i√2
Therefore, the correct answer is option D.
To learn more about the square root of a number visit:
https://brainly.com/question/8971086.
#SPJ6
f(x)=3x^2+6x-18 , find f(10)
Answer:
f(10)=342
Step-by-step explanation:
f(10)= 3(10)^2+6(10)-18
complete your exponet first and multiply 6(10)
f(10)=3(100)+60-18
multiply the 3(100)
f(10)=300+60-18
add and subtract all the numbers together
f(10)=342
7th grade math help me plzzzz
Answer:
The bottom left option
Step-by-step explanation:
The answer is equal to 44.
Answer:
bottom left
Step-by-step explanation:
Solve this problem. 74-4^3+6= *
Answer: The answer is 16
Step-by-step explanation:
Please help,
Determine which is the graph of the given function. f(x) 2x if < - 2 2x - 2 if - 2 < x < 2 -2 if x > 2
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
What is the equivalent ratio for 19:7?
Answer:
Fraction form it is 2 5/7 decimal form it is ~ 2.7143
Step-by-step explanation:
pls help me on this question it is geometry
Answer:
Contrapositive
Step-by-step explanation:
Original Statement: if p then q
Negation: not p
Contrapositive: if not q then not p
Inverse: if q then p
Converse: if not p then not q
Can you guys help me to find the measure of each angle tysm.
Answer:
∠EBF = 51°
∠DBE = 17°
∠ABF = 141°
∠EBA = 90°
∠DBC = 107°
∠DBF = 68°
Step-by-step explanation:
Hope this helps
Answer:
1.
a. m<EBF = 90 - 39 = 51
b. m<EBA = 90
c. m<DBE = 90 - 73 = 17
d. m<DBC = 90 + 17 = 107
e. m<ABF = 90 + 51 = 141
f. m<DBF = 17 + 51 = 68
2.
<ABD, <DBE, <EBF, <FBC, <DBF
3.
<ABF, <DBC
4.
<ABE, <EBC
(8x^3+4x^2+x)-(2x^3+x^2+x)
Answer:
6x^3+5x^2+2x
Step-by-step explanation:
can someone solve, the answer is in the double form something
Answer:
See Below
Step-by-step explanation:
(x-3)-2 ≤ 1 (x-3)-2 ≥ -1
+2 +2 +2 +2
x-3 ≤ 3 x-3 ≥ 1
+3 +3 +3 +3
x ≤ 6 and x ≥ 4
can someone please help me
Answer:
what do you need?
Step-by-step explanation:
Answer:
The first is
Basketball : 2
Football :0
Nd da 3rd one (donno da name) : 4
Step-by-step explanation:
Please mark as brainliest
(-2)2+3 × (-5)
please helpe me answer this question
Answer:
(−2)(2)+(3)(−5)
=−19
Step-by-step explanation:
Answer:
-19
Step-by-step explanation:
(-2)2 + 3 * (-5)
-2 * 2 = -4
3 * -5 = -15
-4 + -15 = -19
pls help i’m not sure how to do thhis
Answer:
I would say that shape E and A has symmetry.
Step-by-step explanation:
The line of symmetry means that on both sides of the shape from the middle part, it is equal. For example, a square has symmetry because it is equal when you split in in half.
If you were to rotate E and A a little, the slice it in half, it is equal on both sides, thus having symmetry.
What is the answer 2x3-5+7=
Answer:
300000000
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
Hope this helps :)
Brainest pls?
FIRST RIGHT GETS BRAINLIEST
Answer:
-6 duh its easy right
Step-by-step explanation:
The measure of an angle is 53.8°. What is the measure of its complementary angle?
Step-by-step explanation:
Complementary angles means that the angles should add up to 90°.
let the complementary angle of 53.8° is x°.
So,
53.8° + x° = 90°.
x° = 90°-53.8°
x = 36.2°
Watch help Video
Combine like terms.
3y +6+ 2y - 3 - 6y^2+ 7y^2– 4
Answer:
Submit Answer
Answer: 5[tex]y[/tex] − 1 + [tex]y^{2}[/tex]
Step-by-step explanation:
Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below. Thank you!
Step 1: Collect like terms.
(3[tex]y[/tex] + 2[tex]y[/tex]) + (6 − 3 − 4) + (-6[tex]y^{2}[/tex] + 7[tex]y^{2}[/tex])
Step 2: Simplify.
5[tex]y[/tex] − 1 + [tex]y^{2}[/tex]
~I hope I helped you! :) Good luck!~
Answer:
Step-by-step explanation:
Here you go mate
step 1
3y +6+ 2y - 3 - 6y^2+ 7y^2-4 equation
step 2
3y +6+ 2y - 3 - 6y^2+ 7y^2-4 simplify
3y+6+2y+(-3)+(-6y^2+)7y^2+(-4)
step 3
3y+6+2y+(-3)+-6y^2+7y^2+(-4) combine the terms that are alike
step 4
(-6y^2+7y^2)+(3y+2y)+(6+(-3)+(−4))
answer
y^2+5y+−1
Pls answer these correctly I need it ASAP
Simply ask your parents or someone to help you your welcome.
Find an equation of the line perpendicular to the graph of 10x - 5y = 8 that passes through the point at (-4, 7).
y = 2x + 5
a.
C.
1
•x-5
y =
b.
d.
1
y = -x + 5
2
1
y = --X + 5
Please select the best answer from the choices provided
A
B
ОООО
C
D
Answer:
Step-by-step explanation:
you want a line with slope = -1/2
So, using the point-slope form of the line,
y-7 = -1/2 (x+4)
y = -1/2 x + 5
Hard to tell what your choices are ...
Can Anyone help me this is my last question for webwork?
9514 1404 393
Answer:
maximum: 12at x = 0Step-by-step explanation:
The x-term has even degree so is never negative. The x-term is subtracted from 12, so the maximum value of the function will be found where x=0. That value is 12 -0 = 12.
f(0) = 12 . . . . absolute maximum
Answer:
The function [tex]f(x)=12-6x^4[/tex] has an absolute maximum value of [tex]12[/tex] and this occurs at [tex]x $\ equals 0.[/tex]
Step-by-step explanation:
The maximum value of this function is at 12, because if you rewrite this function:
[tex]f(x)=-6x^4+12[/tex]The +12 is the k-value (the graph of this function is a parabola) of the vertex form of a quadratic. Just a reminder:
Vertex form of a parabola:
[tex]a(x-h)^2+k[/tex]You can see the 12 is the k-value. The k-value of the vertex form is the vertical shift of the parabola, meaning that this parabola is shifted 12 units upwards.
Since the parabola opens down (you can tell by the negative a-value [tex]-6[/tex]), there is a maximum value at the k-value, i.e. the vertical shift.
[tex]f(x)=-6x^4+12[/tex] has an absolute maximum value of [tex]12[/tex].
To find where the maximum value occurs at, the formula:
[tex]-\frac{b}{2a}[/tex]Tells us the x-value of the vertex of the parabola, whose y-value is the maximum value.
Using our rearranged equation, the a, b, and c-values are:
[tex]a=-6[/tex][tex]b=0[/tex][tex]c=12[/tex]Plug in the a and c values into the formula to find the x-value of the maximum point:
[tex]-\frac{b}{2a}[/tex][tex]-\frac{(0)}{2(-6)}=0[/tex]Therefore, the absolute maximum value of 12 occurs at x = 0.
Determine the slop of the linear function
Answer:
y = 5x.
Step-by-step explanation:
Read the table from top to bottom. You'll see that each time x increases by 1, y increases by 5. We know immediately that the slope of this line is m = rise/run = 5/1 = 5.
Using the first point (2, 10), we see that y = 10 when x = 2. Fit this info into the slope-intercept form of the equation o a straight line:
y = mx + b becomes 10 = 5(2) + b, or b = 0, and the final equation is y = 5x.
Which is the best estimate of the product of 0.39 x 0.49?
0
0.25
0.5
1
Answer fast!! :c
Answer:
0.25 or b is the correct answer
what is the meaning of this symbol^
Answer:
[tex]superscript, \:used\: to\: raise\: objects\: to\: power[/tex]