Calcium-41 is being used in studies testing the effectiveness of drugs for preventing osteoporosis. The half-life of calcium-41 is 100,000 years. If 20 grams of calcium-41 are present initially, how long would it take until only 2 grams
remains?
Answer:
332,193 years
Step-by-step explanation:
From the question above, we are to calculate the time in an half life question, hence, the formula is given as
t = In(Nt/No) ÷ -(In2/t½)
Where
t = time is takes for an substance to decay or reduce
Nt = Amount of sample after time = 2g
No = Initial amount of sample = 20g
t½ = Half life = 100,000 years
Hence,
t = In(2/20) ÷ (In 2/ 100,000)
t = 332192.80948874 years
Approximately = 332,193 years
7.) Зу = 2-х
2y + 10 = 6x
Answer:
By cross multiplication method
x=
(a
1
b
2
−a
2
b
1
)
(b
1
c
2
−b
2
c
1
)
&
y=
(a
1
b
2
−a
2
b
1
)
(c
1
a
2
−c
2
a
1
)
Where a
1
x+b
1
y+c
1
=0 & a
2
x+b
2
y+c
2
=0
are 2 lines
⇒x=
2(−2)−(3×3)
3(−6)−(−2)(−17)
=
−13
−52
=4
y=
2(−2)−(3×3)
(−17)3−(−6)2
=
−13
−39
=3
⇒
x=4&y=3
PLEASE HELP From 12.8 meters to 0.7 meters
does it percent Increase or Decrease
Calculate the average rate of change for the given graph from x = 3 to x = 5 and select the correct answer below.
Answer:
Average rate of change between x = 3 to x = 5 is 0.
Step-by-step explanation:
Given quadratic function s passing through two points (3, 0) and (5, 0).
Average rate of change of a function between x = a and x = b is given by,
Average rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]
From the graph attached,
Average rate of change between x = 3 to x = 5 will be,
= [tex]\frac{f(5)-f(3)}{5-3}[/tex]
= [tex]\frac{0-0}{5-3}[/tex]
= 0
Therefore, average rate of change between x = 3 to x = 5 is 0.
Answer: The average rate of change for the given graph from x=3 to x=5 is 0
Mr. Sampson fills the family pool with water for the summer. After two hours, the water has reached a depth of 2.5 feet. After three hours, the water level has risen to 3 ¾ feet. If the relationship between time and water depth is proportional., what is the constant of proportionality?
Answer: 1.25
Step-by-step explanation:
To solve this, we.will use the formula,
y = kx
where,
y = water depth
k = constant of proportionality
x = time
Using y = kx
2.5 = 2k
k = 2.5/2
k = 1.25
Also,
y = kx
3.75 = 3k
k = 3.75/3
k = 1.25
HELP PLEASE!
which expressions are equivalent to square root 1,120y^3
Answer:
the answer would be 2 * 2 * y √2 * 5* 7 * y
Step-by-step explanation:
Which fraction names the shaded part of the set?
The fraction of the shaded part of the set is 1/3.
Given is a figure in which there are total 12 parts with 4 parts shaded.
We need to find the fraction of the shaded part of the set,
To find the fraction of the shaded part of the set, we need to determine the ratio of the number of shaded parts to the total number of parts.
In this case, the total number of parts is 12, and the number of shaded parts is 4.
Therefore, the fraction of the shaded part can be calculated as follows:
Fraction of shaded part = Number of shaded parts / Total number of parts
Fraction of shaded part = 4 / 12
Simplifying the fraction, we get:
Fraction of shaded part = 1 / 3
So, the fraction of the shaded part of the set is 1/3.
Learn more about fraction click;
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how many times can 42 go into 278?
Answer:
6.61 or 6 times
Step-by-step explanation:
278/42 = 6.61
42 goes into 278 6.61 times.
If you are estimating, 6 is correct.
If you are finding the exact answer, 6.61 is correct.
I hope this helps with your question.
the ratio of white socks to brown socks is
PLZ HELP ASAP
Answer:
0.875 is the ratio from white to brown socks.
eighteen 2.5- gallon buckets are needed to fill a cistern of water
How many 3-gallon buckets of water will fill the cistern.
Answer:
15 3-gallon buckets of water will fill the cistern
Step-by-step explanation:
Eighteen 2.5- gallon buckets are needed to fill a cistern of water
This means, 2.5 gallon buckets in 18 places
2.5 gallons × 18 = 1 cistern of water
45 gallons = 1 cistern of water
How many 3-gallon buckets of water will fill the cistern.
Number of 3-gallon bucket in a cistern = Total gallons of bucket in one cistern / 3-gallon buckets
= 45 gallons / 3-gallon buckets
= 15
Number of 3-gallon bucket in a cistern = 15
15 3-gallon buckets of water will fill the cistern
HELP! I’ll give out a free 50points if someone helps me with this and I’ll mark brainliest
Answer:
B
Step-by-step explanation:
hope this helps ^^
Answer:
B is the correct answer
Step-by-step explanation:
Edit: Woops it was already answered... sorry!
A teacher wanted to determine the effectiveness of two different learning tools—a computer program or a hands-on approach—for a particular concept she was preparing to teach. She will assign her students to one of the two methods to spend the whole class time to learn this concept.
Which of the following variables would be moderated due to random assignment?
A. the teacher
B. time spent in class
C. computer experience
D. the different learning tools
Answer:
D
Step-by-step explanation:
Find the measure of angle J
Answer:
36
Step-by-step explanation:
Answer: 36°
Step-by-step explanation: The three angles of a triangle always equal 180 when added together. Since we have two angles already, we simply subtract those from 180
180 - 115 = 65
65 - 29 = 36
J = 36
Enter the value for x that makes the equation 2(x−4)=6x+8 true.
x =
Answer:
X = -4
Step-by-step explanation:
Negative 4, hope this helps
(x + 7)^2
^2=squared
At the beginning of the month, Adam had $174.85 in his checking account. He wrote these transactions in his checkbook for the month: $28.00, −$316.38, $102.86 What is Adam’s balance at the end of the month?
Answer: $622.09
Step-by-step explanation:
You add up all you answers and you get the sum and just put a $ in front of it
I hope I helped :)
The adam balance at the end of the month is $622.09.
Given that,
The beginning balance in his checking account is $174.85.And, the checkbook transactions contain the balance of $28,316.38, and $102.86.Based on the above information, the calculation is as follows:
= $174.85 + $316.38 + $28 + $102.86
= $622.09
Therefore we can conclude that the adam balance at the end of the month is $622.09.
Learn more: brainly.com/question/9983468
Ill give brainlist hahhahahhahahah
Answer: 78 I think.. maybe .... ummm yeah I think so
Step-by-step explanation:
what is slope function
Answer:
Slope means that a unit change in x, the independent variable will result in a change in y by the amount of b. ... slope = change in y/change in x = rise/run. Slope shows both steepness and direction. With positive slope the line moves upward when going from left to right.
Step-by-step explanation:
Given h(x) =-9-x find h(2k-5)=?
PLEASE HELP. I WILL GIVE BRAINLESS
Answer:
1. 47.1% 2. 69.4% 3. 72.9% 4. 55.6%
Step-by-step explanation:
you just have to add both the numbers and divide the one you are trying to find is liked by the total of both.
ex.
what precent of chicago likes rain?
chicago rain 143 snow 59
143+59=202
143/202=70.7%
400 students went on a field trip. Six buses were filled and 34 students traveled in cars. How many students were in each bus? HELP PLEASE 40 POINTS
Answer:
61
Step-by-step explanation:
first subtract the 34 students that went with a car then divide 366 ÷ 6=61
400-34=366
366÷ 6=61
Hope this helps :)
Which fraction can be replaced with 0 when estimating with fractions?
Answer:
None
Step-by-step explanation:
Answer:
[tex] \frac{0}{1} [/tex]
[tex] \frac{0}{2} [/tex]
[tex] \frac{0}{72} [/tex]
[tex] \frac{0}{-56} [/tex]
[tex] \frac{0}{10} [/tex]
any number as the denominator and 0 as the numerator can be replaced in the place of 0.
Step-by-step explanation:
[tex] \frac{0}{any \: \: integer} = 0[/tex]
Harder equations
Solve these equations:
3x + 3 = -6. X=
Answer:
3 x ( 3 − x ) 3x(3-x) 3x(3−x) Expand by distributing terms. Simplify 3 x × 3 3x\times 3 3x×3 to 9 x 9x 9x. Use Product Rule: x a x b = x a + b {x}^{a}{x}^{b}={x}^{a+b} xaxb=xa+b.
Step-by-step explanation:
hope this help's
Answer:
3x+3=−6Answer:✍️✍️✍️✍️✍️✍️✍️✍️✍️✍️✍️✍️✍️✍️✍️✍️✍️✍️✍️✍️x=−38( y- 7) please answer this I will give brainliest
Answer: 8y − 56
Step-by-step explanation:
Multiply using the distributive property.
if 6n+6=36 what does 25n equal
Answer:
125
Step-by-step explanation:
36-6=30
30/6=5
25n= 25 x 5= 125
What is the volume with 7/10m 5/6m 7/4m
[h=,10m],[l=,4m],[w=,6m]]
Step-by-step explanation:
Answer: (49)/(48)m^(3)
Step-by-step explanation:
Write the slope intercept form of the equation with the given point and slope m=5 through (-1,-3)
Answer:
Y = 5x + 2
Step-by-step explanation:
Y= Mx + b
Write the ratio as a fraction in simplest form.
14 feet to 8 yards
Answer:
1 inch-8 lot of math make me brainliest
Step-by-step explanation:
3ft-8yd
or 36 in- 288in
18-144
9-72
3-24
a 40ft flag pole has a rope tied from the top to the ground. the rope makes a 25 degree angle with the ground, how long is the rope
Answer:
The rope is 94.65 feet.
Step-by-step explanation:
137 students went on a field trip. five buses were filled and 7 students traveled in cars.
How many students were in each bus?
Answer:
Step-by-step explanation:
if we have 137 students, and out of this number 7 were in cars
137-7=130 students in buses
there are 5 buses
130/5=26
26 students in each bus