Answer:
There will be less than 1 gram of the radioactive substance remaining by the elapsing of 118 days
Step-by-step explanation:
The given parameters are;
The half life of the radioactive substance = 45 days
The mass of the substance initially present = 6.2 grams
The expression for evaluating the half life is given as follows;
[tex]N(t) = N_0 \left (\dfrac{1}{2} \right )^{\dfrac{t}{t_{1/2}}[/tex]
Where;
N(t) = The amount of the substance left after a given time period = 1 gram
N₀ = The initial amount of the radioactive substance = 6.2 grams
[tex]t_{1/2}[/tex] = The half life of the radioactive substance = 45 days
Substituting the values gives;
[tex]1 = 6.2 \left (\dfrac{1}{2} \right )^{\dfrac{t}{45}[/tex]
[tex]\dfrac{1}{6.2} = \left (\dfrac{1}{2} \right )^{\dfrac{t}{45}[/tex]
[tex]ln\left (\dfrac{1}{6.2} \right ) = {\dfrac{t}{45} \times ln \left (\dfrac{1}{2} \right )[/tex]
[tex]t = 45 \times \dfrac{ln\left (\dfrac{1}{6.2} \right ) }{ln \left (\dfrac{1}{2} \right )} \approx 118.45 \ days[/tex]
The time that it takes for the mass of the radioactive substance to remain 1 g ≈ 118.45 days
Therefore, there will be less than 1 gram of the radioactive substance remaining by the elapsing of 118 days.
Evaluate 7 to the power of 2 pls help
Answer:
49
Step-by-step explanation:
Whenever you power something, you are just multiplying that number by itself amount of times you are powering
7 to the power of 2 is 7² = 49
The power (or exponent) of a number define how many times to use the number in a multiplication.
It is written as like a small number to the right and above the base number.
In this example the little "2" says to use 8 two times in a multiplication: 82 = 8 × 8 = 64.
To evaluate 7 to the power of 2.
7² = 7 × 7 = 49
Therefore, 7 to the power of 2 is 49.
Learn more about power here:
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I’ll give the brainliest if you help meeeee
Moira is a teacher, and she drives to school and back every day from her home. It is 32 miles from her home to work.
How far does Moira drive roundtrip in 5 work days?
Answer:
Here is the answer 160 miles
Step-by-step explanation:
If you want more explanation you just do 32x5=160 or if its back and forth it would be 32x10=320
Find the sum of 2.005, 35.7 and 406
Answer:
443.705
Step-by-step explanation:
The sales tax in one state is 5%. Write a function rule for finding the total cost of an item with selling price x. Then find the total cost of a CD player with a selling price of $110.
A. FX) 1.05x; $115.50
B. f(x) = 0.05x; $5.50
C. FX) 5 + x;$111.05
D. f(x) = x - 5; $108.95
Answer:
f(x) = .05x; $5.50
Step-by-step explanation:
f(x) = .05x
f(110) = .05(110) = $5.50
Find the slope of the line.
Help!
Answer:
if the line is the blue one the answer is y=0
Step-by-step explanation:
Fifteen billiard balls are numbered 1 to 15. One billiard ball is selected at random. Determine the odds for and the odds against for (6 Points) a) selecting the number 7 b) selecting a number greater than 10
Answer:
Odds for & against selecting number 7 = 1/14 & 14
Odds for & against selecting number more than 10 = 4/11 & 11/4
Step-by-step explanation:
Odds for event = Prob (event) / Prob (no event)
Odds against event = Prob (no event) / Prob (event)
Odds for selecting number 7Prob (No. 7 chosen) = 1/15 , Prob (No. 7 not chosen) = 14/15
Odds for number 7 = (1/15) ÷ (14/15) = 1/14
Odds against number 7 = (14 / 15) ÷ (1/15) = 14
Odds for selecting number > 10Prob (No. > 10 chosen) = 4 / 15 , Prob (No. > 10 not chosen) = 11/15
Odds for No. > 10 = (4/15) ÷ (11/15) = 4/11
Odds against No. > 10 = (11/15) ÷ (4/15) = 11/4
En la regla de la potencia, durante el proceso de integración, se ________ 1 al exponente, mientras que en la derivación se ________ 1 a dicho exponente. De igual forma, el exponente pasa dividiendo mientras que en la derivación pasa ________. Al último, agregamos la letra c, que significa constante" *
Answer:
a) adiciona, b) sustrae, c) multiplicando.
Step-by-step explanation:
A continuación, presentamos la respuesta correcta al ejercicio citado:
En la regla de la potencia, durante el proceso de integración, se adiciona 1 al exponente, mientras que en la derivación se sustrae 1 a dicho exponente. De igual forma, el exponente pasa dividiendo mientras que en la derivación pasa multiplicando. Al último, agregamos la letra C, que significa constante.
Razones
Derivación de una función potencial:
[tex]\frac{d}{dx}(x^{n}) = n\cdot x^{n-1}, n\ne 0[/tex]
Integración de una función potencial:
[tex]\int {x^{n}} \, dx = \frac{x^{n+1}}{n+1}+C,x\ne -1[/tex]
Help is Geometry find x
Answer:
x=64
Step-by-step explanation: because the sides are both the same so do 128/2 which equals 64 so x=64
The scale of a map says that 3 inches represents 4 miles. What distance on a map represents an actual distance of 2 miles?
Answer:
1.5 inches
Step-by-step explanation:
half of four miles so half of 3 inches
(A U B) n (A n B)
A= {1,3,7,9,10}
B= {2,5,7,8,9,10}
Answer:
{7,9,10}
Step-by-step explanation:
(A U B) ∩ (A ∩ B)
(A U B): {1,3,7,9,10} U {2,5,7,8,9,10} = {1,2,3,5,7,8,9,10}
(A ∩ B): {1,3,7,9,10} ∩ {2,5,7,8,9,10} = {7,9,10}
(A U B) ∩ (A ∩ B): {1,2,3,5,7,8,9,10} ∩ {7,9,10} = {7,9,10}
I need help real quick!!!!!!1
Answer:
1. 9
2. 8
3. 16
4. 20
5. 27
6. 6
7. 54
8. 70
9. 24
10. 20
11. 15
12. 42
13. 25
14. 44
15. 28
16. 66
17. 36
18. 60
19. 16
20. 9
21. 18
22. 30
23. 4
24. 9
25. <
26. >
27. <
28. =
29. >
30. =
31. >
32. <
Step-by-step explanation:
Math
Can i have brainliest?
22. The cost of renting a pickup truck at Company A is $25 plus 15 cents per mile driven. The cost ol
Renting a truck at Company B is $25 plus 10 cents per mile driven. In the graph of the cost of a
Truck rental, what does the cost per mile driven represent?
A The point of intersection
B The y-intercept
C The x-intercept
D The slope
Answer:
D. The slope
Step-by-step explanation:
0.15 = 3/20
0.10 = 1/10
Given:
company A: y = 3/20x + 25
company B: y = 1/10x + 25
y = mx + b
m is slope
b is y-intercept
What is the distance between -15.5 and -8.7?
A: 24.2
B:7.2.
C. 6.8
D. -24.2
B. 7.2
Step-by-step explanation:
-15.5+7.2=(-8.7) and vice versa.
Part A). Emily participates in a trivia quiz show. In each round, 20 points are awarded for a correct answer and 10 points are deducted for an incorrect answer. Part B). Emily answer 4 questions correctly and 11 incorrectly in the first round what was her score in the first round? Emily answer'd 7 questions correct and 8 incorrect in the second round what was her score in the second round.
Answer
A. -30 points
B. 60 points
Step-by-step explanation:
20 points for correct answer and 10 points deducted for wrong answer
Each deduction is -10 while each correct answer gives + 20
4 questions correctly and 11 incorrectly
= 4(20) + 11(-10)
= 80-110 = -30 points
Second round
7 correct, 8 incorrect
= 7(20) - 8(10)
= 140-80 = 60 points
Task 3
please pa answer na po ngayun (个_个)
Directions: Find the quotient.
1) 75.36 ÷ 0.24 =
2) 1.536 ÷ 0.3 =
3) 6.705 ÷ 0.45 = =
4) 1.875 ÷ 0.05 =
5) 6.048 ÷ 0.8 =
Task 4
Directions: Find the quotient.
1) 1.6 5.136 2) 2.8 7.364
4) 4.8 83.52
3) 3.6 65.52
5) 5.6 3.136
Answer:
eue8whiwhwihdhd123456789101122334
What is the distance between A and B? Round your answer to the nearest tenth.
Answer:
6.4
Step-by-step explanation:
Just plug in the distance formula.
(4+1)^2+(1-5)^2
(5)^2+(-4)^
25+16
41
(square root 41) and get 6.4
Each lap around the park is 0.58 mile. Jessica walked 3.25 laps around the park. How many miles did Jessica walk around the park?
Answer:
5 miles but she did walk part of another mile so that would be 5.35.
Step-by-step explanation:
you can take 3.25 and subtract that by 0.58 until you can't do it anymore. Also I didn't know if you wanted the exact amount which would be 5.35 but total miles is only 5. Hope this helps!
A local florist charges $15 for delivery plus $2.75 per flower for all flower arrangements. When Marcus got the bill for a flower arrangement he ordered, it was less than $50. Which of the following could not represent the number of flowers in the arrangement Marcus ordered?
Answer:
Step-by-step explanation:
Step one:
given
All Charges
$15 for delivery
and $2.75 per flower
let the number of flowers delivered be x
and the total charges for x flowers be y
the linear function for the total charges is
y=2.75x+15
Step two:
when y=$50
50=2.75x+15
50-15=2.75x
35=2.75x
divide both sides by 2.75
x=35/2.75
x=12.72
Note: we are not given the options. We only solved for the flower arrangements
Therefore the number of flowers in the arrangement Marcus ordered
is 12.72 flowers
A basketball player made 81 out of 100 attempted free throws. What percent of free throws was made?
Answer:
81%
Step-by-step explanation:
81 out of 100 is 0.81, which is 81%
Hope this helps plz mark brainliest if correct :D
Answer:
0.800
Step-by-step explanation:
Hope it Helps
Solve for the variable
10 + 25a = 75
Please help
Answer:
a = 2.6
Step-by-step explanation:
10 + 25a = 75
- 10. - 10
25a = 65
÷25. ÷25
a = 2.6
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Answer:13/5 or 2.6
Step-by-step explanation:
Jason and Bailey found a venue for their wedding. The venue requires a $500 deposit to hold the venue for a certain date. If this was 10% of the cost of the venue, how much will Jason and Bailey pay for the venue?
Answer:
$5,000Step-by-step explanation:
Step one:
given
initial deposite= $500
10% of the venue is $500
let the cost of the venue be x
Required
cost of the venue
10/100*x=500
0.1x=500
divide both sides by 0.1
x=500/0.1
x=$5000
Therefore the cost of the venue is $5,000
What are some other ways the answer can be determined ( other than Multiplication)
Will mark and 5 STARS, THANKS
Find the slope of the line between (-7, -2) and (9, 4)
A, B, C, or D?
A) M=-3/8
B) M=3/8
C) M=6/17
D) M=2/5
Answer:
dufenschmertz evil incorporated...
Step-by-step explanation:
after hours ;)
oh ma goawd he on x gaems mode
If a1=5 and an= -5an-1 then find the value of a5.
Answer:
The value of a5 is 3125
Step-by-step explanation:
Recursive Sequence
It refers to the sequences where each term is given as a rule that depends on one or more of the previous terms, unlike explicit sequences where a general term is given and we can calculate any term without knowing the value of the previous terms, except for the first one.
The sequence is given as:
[tex]a_1=5[/tex]
[tex]a_n=-5a_{n-1}[/tex]
To find the value of a5, we need to find the previous terms first:
[tex]a_2=-5a_{1}=-5*5=-25[/tex]
[tex]a_3=-5a_{2}=-5*(-25)=125[/tex]
[tex]a_4=-5a_{3}=-5*125=-625[/tex]
[tex]a_5=-5a_{4}=-5*(-625)=3125[/tex]
The value of a5 is 3125
Take half of the input, 30, and subtract 10. What is the output?
Find the slope of the line that contains the following ordered pairs. Show all work.
8.
(18,-7) and ( 18, 2)
Formula:
Slope:
Answer:
see below
Step-by-step explanation:
slope = (y₂ - y₁) / (x₂ - x₁) <=== formula
= (2 - (-7)) / (18 - 18)
= 9 / 0
= 0 <=== slope
x ÷ 9 = 4
plz help fast
Answer:
36
Step-by-step explanation:
transpose
x= 4×9
x= 36
Answer:
x = 36
Step-by-step explanation:
If we were to switch around the equation to multiplication, we would have 9 x 4 or 4 x 9 which is 36.
You are carpeting a room in a house for your job. You have a boss that likes to play jokes, so instead of just giving you the dimensions of the room, he tells you the dimensions in rational expressions. The length of the room is fraction numerator x squared minus x minus 6 over denominator x minus 5 end fractionand the width of the room is fraction numerator x squared minus 6 x plus 5 over denominator x plus 2 end fraction. What is the area of the room in terms of x? How much carpet do you need if x = 10?
Answer:
[tex]x^2-4x+3[/tex]
[tex]63\ \text{sq. units}[/tex]
Step-by-step explanation:
l = Length = [tex]\dfrac{x^2-x-6}{x-5}[/tex]
w = Width = [tex]\dfrac{x^2-6x+5}{x+2}[/tex]
Area is given by
[tex]A=lw\\\Rightarrow A=\dfrac{x^2-x-6}{x-5}\times\dfrac{x^2-6x+5}{x+2}\\\Rightarrow A=\dfrac{x^2-3x+2x-6}{x-5}\times\dfrac{x^2-5x-1x+5}{x+2}\\\Rightarrow A=\dfrac{(x-3)(x+2)}{x-5}\times\dfrac{(x-5)(x-1)}{x+2}\\\Rightarrow A=(x-3)(x-1)\\\Rightarrow A=x^2-4x+3[/tex]
Area of the room is [tex]x^2-4x+3[/tex].
If [tex]x=10[/tex]
Area of the room
[tex]A=x^2-4x+3=10^2-4\times 10+3\\\Rightarrow A=63\ \text{sq. units}[/tex]
So, the amount of carpet needed would be [tex]63\ \text{sq. units}[/tex].
The volume of a fish tank is given by the function V (x) = (x + 7) (1-4) (2x + 3). Write a function describing a fish tank that has the same height but is
longer in length by 3 units and wider by 2 units.
Answer:
V(x)=(x+9) * (3) * (2x + 6)
Step-by-step explanation:
A fish tank is usually made in the shape of a 3-Dimensional rectangular prism. The volume of this shape can be obtained by using the following formula
V = w * h * l
in this formula w represents the width, h represents the heigh, l represents the length, and V represents the volume of the rectangular prism/fish tank. Therefore, we can use the function provided in the question and simply add 3 units to the length and 2 units to the width in order for it to work for our new fish tank.
V(x)=(x+9) * (3) * (2x + 6)