Answer:
The lab will have to wait 19.45 yers to safely store the material before disposal.
Step-by-step explanation:
Exponential equation for substance decay:
A exponential equation for the amount of a substance after t years is given by:
[tex]A(t) = A(0)(1-r)^{t}[/tex]
In which A(0) is the initial amount and r is the decay rate, as a decimal.
Decays at 3.5% per year.
This means that [tex]r = 0.035[/tex]
So
[tex]A(t) = A(0)(1-r)^{t}[/tex]
[tex]A(t) = A(0)(0.965)^{t}[/tex]
How many years will the lab have to safely store the material before disposal?
It needs to reach half-life, that is, t for which A(t) = 0.5A(0). So
[tex]A(t) = A(0)(0.965)^{t}[/tex]
[tex]0.5A(0) = A(0)(0.965)^{t}[/tex]
[tex](0.965)^t = 0.5[/tex]
[tex]\log{(0.965)^t} = \log{0.5}[/tex]
[tex]t\log{0.965} = \log{0.5}[/tex]
[tex]t = \frac{\log{0.5}}{\log{0.965}}[/tex]
[tex]t = 19.45[/tex]
The lab will have to wait 19.45 yers to safely store the material before disposal.
Helps please is for now
Answer:
(-3,5) and (2,3). That's the answer. Plug this number and it would be fine
is -1 equivalent to -3 - (-12)
Answer:
no
Step-by-step explanation:
-1 - (-12)
the two negative signs before the 12 cancel out so it ends up being
-1+12
-1+12=11
11 and -1 are not equal to each other
Answer:
No
Step-by-step explanation:
-3-(-12)=-3+12
-3+12=9
Pls help me
I really need help so I can not go through summer school pls
Caroline can ride her bike 5 miles in 25 minutes. At this rate, how long would it take her to bike 8 miles?
Answer:
40 min.
Step-by-step explanation:
5/25=1/5
1/5=0.2
8/0.2=40
Answer:
40 mins
Step-by-step explanation:
do 25 divided by 5 and you get 5, which means she can ride one mile in 5 mins, so then multiply 5 and 8 and you get the product of 40.
4,000 as a product of power of 10
Answer:
4,000 to the tenth power is 1.045876E36
Step-by-step explanation:
If 2x+y=16 and 4x-y, find the value of x and y
Answer:
Step-by-step explanation:
PLS HELP!!
What is the volume, in cubic centimeters, of a cube with an edge length of 15
centimeters?
Answer:
3375
Step-by-step explanation:
The formula for volume is
volume = length x height x width
or in simpler terms (only works for cubes i think)
v = a^3
so we know that the side is 15cm long, so we substitute that back into the equation, so,
3375 = 15 x 15 x 15
or
3375 = 15^3
I hope that this helps you out :)
Which equation could be solved using this application of the quadratic formula? x = (- 3 plus/minus sqrt(3 ^ 2 - 4(1) * (24)))/(2(1)) A. x ^ 2 + 6x + 24 = 3x B 3x ^ 2 + 3x + 24 = 3 C. x ^ 2 + 3x - 24 = 3 D x ^ 2 + 3x + 24 = 3
Answer:
[tex]x^2 + 3x + 24 = 0[/tex]
Step-by-step explanation:
Given
[tex]x = \frac{-3\±\sqrt{3^2 - 4*1*24}}{2*1}[/tex]
Required
Select equation with the above solution
The solution is represented as:
[tex]x = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]
By comparison:
[tex]b= 3[/tex] [tex]a = 1[/tex] [tex]c = 24[/tex]
So, the equation is:
[tex]ax^2 + bx + c = 0[/tex]
[tex]x^2 + 3x + 24 = 0[/tex]
−4.5=−0.5(x−7.1)
solve for x and teach me how to give brainliest
3(x - 2) – 2x + 3 = -12
Answer:
hii
Step-by-step explanation:
3(x-2)-2x+3=-12
3 times x = 3x
3 times -2 = -6
3x-6-2x+3=-12
3x + 2x = 5x
-6 + 3 =-3
i don't know the rest I'm sorry
can u do this plz urgent
5/6 minus (- 3/4)
HELP PLS
Answer:
In order to solve this problem, you have to find the lowest common denominator. Take multiples of both 6 and 4 and see which is the lowest you have in common.
4: 4, 8, 12, 16, 20
6: 6, 12, 18, 24
So 12 is the lowest common multiple....
5/6 x ?/? = ?/12 (you have to multiply the numerator and the denominator by the same number)
3/4 x ?/? = ?/12 (you have to multiply the numerator and the denominator by the same number)
When the denominators are the same, you can subtract the numerators. The denominator will stay 12!
Step-by-step explanation:
YAY! I want a brain
Answer:
Exact Form: 19/12
Decimal form:1.583
Mixed number form: 1 7/12
Step-by-step explanation:
hope i was right!
the difference of 4 and 5 times h
Answer:
4-5h
Step-by-step explanation:
difference = minus sign
and 5 times h
Answer:
Step-by-step explanation:
There are two answers to this making the question slightly ambiguous.
1) 4 - 5*h
2) (4 - 5)*h
It is impossible to tell which answer is the correct one. However, if I had to guess, I would say it is 4-5*h
HELP PLZ and thank you
find the measure of the arc or central angle indicated. assume that lines which appear to be diameters are actual diameters.
Answer:
Step-by-step explanation:
Circle degrees total 360 .
360 - 126 -54-54 (other side of vertical angles) equals 126 degrees left for the other two remaining sections.
14x+4 +15x+6 =126
19x+10 = 126
29x = 116
x=4 . answer .
calculate the volume of a liquid with a density of 5.45g/km and a mass of 65g
Answer:
11.93 ml
rounded to two significant figures: 12ml
Step-by-step explanation:
65/5.45=11.93 ml
Please mark me as brainliest
-5n = 15
show your work
Answer:
n=-3
Step-by-step explanation:
divide both sides
-5n/(-5)=15/(-5)
divide both sides
n=15/(-5)
n=-3
What should be placed in the box to make the equation true?
Answer:
2x^4
Step-by-step explanation:
When multiplying variables with exponents multiply the coefficients (the number before the variable) and add the exponents.
SO to solve you have to find a number that when multiplied by 32 equals 64 and a number when added to 8 gives you 12.
2*32=64
8+4=12
So the answer is 2x^4
If this helped please consider giving brainliest.
What is 0.5 (0.1)(1/2)
Answer:
0.025
Step-by-step explanation:
can someone help me with this?
Answer:
$79.38
Step-by-step explanation:
First find the area of the parallelogram: b*h
= 8.1* 3.5
= 28.35 square meters
now multiply by the cost (2.80) by 28.35 to get the final answer: 79.38
Using L Hospital's rule, evaluate :
lim
x →0(x² – Sin²x)/x^2
Answer:
0
Step-by-step explanation:
L Hospital's rule states that as long as u have the form
of infinity / infinity or 0/0 in general you can take its derivative to find the limit.
In this case as X tends to 0, the numerator tends to 0
Denominator will also tends to 0.
We have the 0 / 0 form, which means we can take the derivative for its numerator and denominator which gives
(2x - 2SinxCosx) / 2x | lim x -> 0
= (2x - Sin2x) / 2x | lim x -> 0
Based on this equation, as x tends to 0
both numerator and denominator tends to 0.
So we take its second derivative,
(2 - 2Cos2x) / 2
Now as x -> 0,
we will get (2 - 2)/2 = 0
Find the slope of the line passing through the points (-2,-2) and (6,-2).
slope
Answer:
0/8
Step-by-step explanation:
Slope equals y 2 minus y 1 divided by x 2 minus x 1
-2-(-2)/6-(-2)
0/8
Kim bought her Supreme shoes for $52 on eBay. She marks up the shoes to resell on GOAT for 120% of the price.
a) What is the amount of markup? $
b) What is the price of the shoes after markup? $
Answer:
a) $10.4
b) $62.4
Step-by-step explanation:
a) What is the amount of markup? $
$52 - 100%
$X - 120%
100X = 52*120
100X = 6240
X = 6240/100
X = $62.4
62.4-52=
$10.4
b) What is the price of the shoes after markup? $
$62.4
In ΔDEF, the measure of ∠F=90°, the measure of ∠D=69°, and FD = 64 feet. Find the length of DE to the nearest tenth of a foot.
Answer:
Step-by-step explanation:
PLEASE ANSWER ASAP WILL GIVE BRAINLIEST
Pls help me due in 20 minutes.
Answer:
A and D; she needs 1/12 cups of corn
Step-by-step explanation:
2 2/5 - 1 1/3 + 3 1/2=
Answer:
16.2
Step-by-step explanation:
I think it is the answer. not sure
Sasha saved $28.34 in November and $39.57 in December. By the end of
January, she wants to have saved $100. How much money does she need
to save in the month of January? Make sure to include your work, number
sentences, and your answer with words.
Answer:
$32.09
Step-by-step explanation:
It's $32.09 because, 39.57-28.34=67.91. And 100-67.91= 32.09. Goodluck!
A carpenter is putting a skylight in a roof. If the roof measures 10 + 8 by 8 + 6 and the skylight measures + 5 by 3 + 4, what is the area of the remaining roof after the skylight is built?
a. 77^2 + 115 + 68
b. 77^2 + 105 + 28
c. 83^2 + 115 + 68
d. 77^2 − 105 + 28
what is the leading coefficient of 5z^5-2z^6+z
Answer:
3
Step-by-step explanation:
Which option best shows X ≤ -3
Step-by-step explanation:
the answer is b because the circle is filled with color as it should be and shows that x is equally to number 3 too
Answer:
yep, it's b.
Step-by-step explanation:
a line with a closed circle means that it's less than or equal to.