Answer:
(a) A = (20mg)/(2^(t/30))
(b) 12.6mg
(c) 129.6years
Step-by-step explanation:
To calculate the amount remaining after a number of half-lives, n, we can make use of:
[tex]A = \frac{B}{2^n}[/tex]
Where A = amount remaining
B = initial amount
[tex]n = \frac{t}{t_{0.5}}[/tex]
(a) A = (20mg)/(2^(t/30))
(b) Mass after 20years
A = (20mg)/(2^(20/30)) ≈ 12.6mg
(c) After how long will only 1mg remain:
1mg = (20mg)/(2^(t/30))
[tex]20mg = {2^{\frac{t}{30}}[/tex]
Taking log of both sides we have:
Log(20) = (t/30)log(2)
t/30 = (log(20))/(log(2)) ≈ 4.3
t/30 = 4.3
t = 30 x 4.3 ≈ 129.6years.
An account manager for a local software agency believes there is a relationship between the number of contacts and the amount of the sales. To verify this belief, the following data was collected:
Sales person Number of Contacts Sales (in millions)
1 14 24
2 12 14
3 20 28
What most likely is the direction of the correlation between the two variables?
a. positive
b. negative
c. zero
d. can not tell
Answer:
b is the correct answer
Step-by-step explanation:
hopefully think that it helps you
Answer:
B
Step-by-step explanation
(sorry if this is wrong)
Kyle uses a school gym to run a weekly yoga class. He must pay the school a fee for the use of the gym. Each person who comes pays x dollars. The amount of profit Kyle makes can be represented by the expression:
nx−d
What does the term nx represent?
A
the fee for the use of the school gym
B
the number of people in the yoga class
C
the cost of the yoga class for each person attending the class
D
the total money Kyle collects from people attending the class
Answer:
I believe it is D
Step-by-step explanation:
The entire equation y=nx-d means that d is the fee Kyle pays the school. SO that means that nx is the amount of money he earns from the people attending a yoga class.
Term nx represents the total money Kyle collects from people attending the class.
What is linear equation in one variable?
" Linear equation in one variable represents straight line and it is a equation in one variable in which degree of the given variable is equals to one. General form is written as ax + b =0."
According to the question,
x represents fees paid by each person for yoga class.
Condition is Kyle has to pay a fee for the use of gym.
It mean gym fees would be deducted from her earned fees from yoga class.
Therefore , d represents gym fee.
n represents number of people comes for yoga class.
From the given condition it is a linear equation in one variable,
Therefore, nx represents amount Kyle collects from people attending the class.
Hence, Option (D) is the correct answer.
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answers
|x-3|
-|x+3|
-|x-3|
|x|+3
Answer:
B) -|x+3|
Step-by-step explanation:
Use the equation y=a|x-h|+k
a=-1 since the graph opens downwards with no stretch or shrink
h=-3 since the horizontal shift is 3 units right
k=0 since there's no vertical shift
Therefore, our equation is y=-|x+3| making B the correct answer
Factor the expression.
-28.2 - 14
Your uncle purchases a $25,000 car this year. The car depreciates in value by 20% per year.
a) Write an exponential equation for the value of the car.
b) Use your equation to find the value of the car in 10 years.
c) When will the car be worth $10,000? Solve an equation with logarithms and show your work.
Answer:
b
Step-by-step explanation:
i finished the other question but i need help with this one!!!! I will give brainleist
Answer:
1.22 meters aprx.
Step-by-step explanation:
This is talking about meters right. If it is 1.22 would be your answer.
What is the prime factorization of 504
Answer: 23 x 32 x 71
Step-by-step explanation: The orange divisor(s) above are the prime factors of the number 504. If we put all of it together we have the factors 2 x 2 x 2 x 3 x 3 x 7 = 504. It can also be written in exponential form as 23 x 32 x 71.
A line is drawn so that it passes through the points (-5,-3) and (-7,-5). What is the slope of the line?
Answer:
1
Step-by-step explanation:
The required slope of the line is 1 which passes through the points (-5, -3) and (-7, -5).
What is the slope of the line?The slope of a line is defined as the change in the y-coordinate (the "rise") divided by the change in the x-coordinate (the "run").
To determine the slope of the line that passes through the points (-5, -3) and (-7, -5), we can use the formula:
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Let
x₁ = -5, y₁ = -3
x₂ = -7, y₂ = -5
∵ Slope m = (y₂ - y₁)/(x₂ -x₁ )
Plugging in the coordinates of the two points, we get:
slope = (-5 - (-3)) / (-7 - (-5))
Simplifying this expression gives us:
slope = -2 / -2
Which simplifies to:
slope = 1
Therefore, the slope of the line that passes through the points (-5, -3) and (-7, -5) is 1.
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a drum full of rice weighs 241/6 kg. If the empty drum weighs 55/4 kg, find the weight of rice in the drum
Answer:
I believe the answer would be 186
Step-by-step explanation:
241-55=186
sjfudshfuhfuhdufhshfsudhfusdfl
Answer:
I love cookies too.
HELP PLZ WILL GIVE BRAINLYEST
Answer:
Light blue
Step-by-step explanation:
Answer:
x ≥ -5
Step-by-step explanation:
whats the slope of a perpendicular line that passes through the lines (29,24) and (3,4)
please help me asap and
Answer:
you have it right! 3x - 4= 23
Answer: 3x-4 = 23
Step-by-step explanation:
Cos ik
Solve the system using substitution.
3x - 4y = 11
y + 3x = 1
Answer:
x= 1
y= -2
Step-by-step explanation:
1. y+3x=1 subtract 3x from both side to get y= 1-3x
2. Put the new found y value in the equation
3x-4(1-3x)=11
3. Distribute the 4
3x-4+12x=11
4. Add 4 to both sides
3x+12x=15
5. Add the x's
15x=15
6. Solve for x
x=1
7. Plug in the x in the y equation y= 1-3x
y=1-3(1)
8. Solve for y
y= -2
The solution to the system of equations is x = 1 and y = -2.
To solve the system of equations using substitution, we need to solve one of the equations for one variable in terms of the other variable and then substitute that expression into the other equation. Let's solve the second equation for y and then substitute it into the first equation:
Given system of equations:
3x - 4y = 11
y + 3x = 1
Step 1: Solve the second equation for y:
y = 1 - 3x
Step 2: Substitute the value of y from equation (2) into equation (1):
3x - 4(1 - 3x) = 11
Now, let's solve for x:
3x - 4 + 12x = 11
Combine like terms:
15x - 4 = 11
Step 3: Solve for x:
15x = 11 + 4
15x = 15
x = 15 / 15
x = 1
Step 4: Now that we have the value of x, we can find y using equation (2):
y = 1 - 3(1)
y = 1 - 3
y = -2
So, the solution to the system of equations is x = 1 and y = -2.
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The carter family budgets a total of 2,700 for a ski vacation in Colorado if they plan to go spend 275$ per day and 1,000 on meals about how many days n can the carter family go on vacation ?
Answer:
275n + 1000 = 2700
They will go 6 days on vacation.
Step-by-step explanation:
Given that the Carter family wants to go on vacation with a budget of $ 2700, of which $ 1000 will be used exclusively for food, and for each day of stay $ 275 will be spent, the formula to obtain the number of days they can spend on vacation is following:
1000 + 275n = 2700
275n = 2700 - 1000
n = 1700/275
n = 6.18
Therefore, with this amount, the Carters will be able to spend 6 days on vacation, and they will have money left over.
(6p+ 15) + (10p-9)
O A. 16p- 6
OB. 16p+ 24
O C. 16p+ 6
O D. 6p+ 6
Answer:
B
Step-by-step explanation:
HELP I NEEED ANSWER ASAP 95.11 = (100.50 + 78.35 + x)/3
Answer:
Here u go hoped it at least helped u !!!
Step-by-step explanation:
Answer:
106.480
I hope this helps!
which value completes the table?
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Plug in -3 to t^2-3
-3^2-3
9-3
6
A is the only answer that has 6. So your answer would be A
The definition of similarity in terms of similarity transformations states that two figures are
similar if and only if there is a compositon of rigid motion and dilation that maps one figure to
the other. Suppose triangle ABC~triangle DEF. Explain how this definiton ensures:
1. The equality of all corresponding pairs of angles.
2. The proportionality of all corresponding pairs of sides.
PLEASE HELP
a square has an area of 49 square meters
Answer:
7x7
Step-by-step explanation:
its base (length) and width is 7.
Given vectors u = ⟨–2, 1⟩ and v = ⟨4, –2⟩, which statement is true concerning u and v? The vectors form an obtuse angle of approximately 93°. The vectors form an obtuse angle of approximately 96°. The vectors form an obtuse angle of approximately 127°. The vectors point in opposite directions.
Answer:
D) The vectors point in opposite directions.
Step-by-step explanation:
got it right on edge :)
see graph below
Given vectors u = (-2,1) and v =( 4, -2) represents the vectors point in opposite directions.
What is vectors?
"Vectors is a quantity which gives us both magnitude and direction of the given quantity."
According to the question,
Given vectors u(-2,1) and v(4,-2) represented on the graph.
From the graph we conclude that given vectors u and v
Does not form obtuse angle of approximately 93° , 96° or 127°.
The vector 'u(-2,1)' is in second quadrant and v(4,-2) is in fourth quadrant.
Second quadrant and fourth quadrant are in opposite direction.
Hence, we conclude the vectors point in opposite directions.
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Edmundo wrote the expression 4²-5•2³. What is the value of this expression
The value of the expression is -24.
Calculation of the value of the expression:Since the equation is [tex]4^2-5\times 2^3[/tex]
So, the value should be
[tex]= 4^2-5\times 2^3\\\\[/tex]
= 16 - 5(8)
= 16 -40
= -24
Here we use PEDMAS
P denotes for parenthesis
E denotes for exponents
D means divide
M means multiply
A means addition
S means subtraction
Therefore, we can conclude that The value of the expression is -24.
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For y=4x-3, find the
domain value when
the range is 17.
I NEED IT ASAP WILL GIVE BRIANIEST
Answer:
X=5
Step-by-step explanation:
PLZ HELP, WILL GIVE BRAINLIEST!!!
Brenda's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 3 senior citizen tickets and 9 child tickets for a total of $75. The school took in $67 on the second day by selling 8 senior citizen tickets and 5 child tickets.
What is the price each of one senior citizen ticket and one child ticket?
Answer: $4 senior, $7 child
Step-by-step explanation:
(3s + 9c = 75)
8s + 5c = 67
Equation A
Х
Y
-2
6
2
1
0
2
-2
-9
Equation B
х
Y
-2
-1
-6
0
-3
1
0
What is the solution to this system of equations?
0 (-1,-5)
0 (0,2)
O (-2, 6)
O (1,0)
its c
Step-by-step explanation:
distance from -3 to 0
The radius of the sphere is 9 inches. Which equation can be used to find the surface area of the sphere?
Answer:
Option (2)
Step-by-step explanation:
Formula to get the surface area of a sphere is,
Surface area = 4πr²
Here 'r' = Radius of the sphere
We have to calculate the surface area of a sphere with radius r = 9 inches.
By substituting the value of r in the formula,
S = 4π(9)²
Therefore, Option (2) will be the correct option.
Answer:
B. S = 4 pi r squared = 4 pi (9) squared
A certain computer can perform a maximum number of operations per second. If this computer is running at 23% of the maximum and is performing 105 operations per second, what is the maximum number of operation the computer can perform per second
Answer:
I believe 457 operations
Using only the values given in the table for the function, f(x) = x3 – 3x – 2, what is the interval of x-values over which the function is decreasing?
(–4, 1)
(–4, –1)
(–1,1)
(–1, 2)
Answer:(-1.1)
Step-by-step explanation:
Answer: The answer is (-1,1)
Step-by-step explanation:
I just did it and I hope this helps you❤️
Let tk be the number of ways to choose k beads from a drawer that contains 10 red beads, 8 blue beads, and 11 green beads. Find the generating function for the sequence {tk} 29 k = 0. Do not find a formula for tk.
Answer:
[tex]\mathbf{G(x) = (1 + x)^{29}}[/tex]
Step-by-step explanation:
From the given information;
The total number of beads = 10 + 8 + 11 = 29
To choose k beads out 29 beads, let assume that [tex]t_k[/tex] be the no. such that:
[tex]t_k = ( ^{29}_{k}) \ \ \ where; k =0,1,2,3,....,29[/tex]
∴
The sequence [tex]\{ t_k\}^{29}_{k=0} = (^{29}_{k})[/tex]
The generating function for [tex]\{ a_k \}^n_{k=0}[/tex] is:
[tex]G(x) = a_o +a_1x +a_2x^2 +...+a_nx^n[/tex]
[tex]G(x) = \sum \limits ^{n}_{k=0} \ a_k x^k[/tex]
For the sequence above;
[tex]G(x) = \sum \limits ^{29}_{k =0 } (^{29}_{k}) x^k[/tex]
By applying binomial series [tex](1+x)^n = \sum \limits ^n_{k=0} ( ^n_k) x^k[/tex]
Thus:
[tex]\mathbf{G(x) = (1 + x)^{29}}[/tex]