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.
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.
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.
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
PLEASE ANSWER ASAP WILL GIVE BRAINLIEST
−4.5=−0.5(x−7.1)
solve for x and teach me how to give brainliest
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 .
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
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
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
4,000 as a product of power of 10
Answer:
4,000 to the tenth power is 1.045876E36
Step-by-step explanation:
Pls help me
I really need help so I can not go through summer school pls
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
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
Pls help me due in 20 minutes.
Answer:
A and D; she needs 1/12 cups of corn
Step-by-step explanation:
What is 0.5 (0.1)(1/2)
Answer:
0.025
Step-by-step explanation:
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]
Helps please is for now
Answer:
(-3,5) and (2,3). That's the answer. Plug this number and it would be fine
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
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
If 2x+y=16 and 4x-y, find the value of x and y
Answer:
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
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.
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!
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 :)
what is the leading coefficient of 5z^5-2z^6+z
Answer:
3
Step-by-step explanation:
-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
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
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:
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!