Answer:
Instructions are below.
Step-by-step explanation:
To calculate the final amount of a given substance, we need to use the following formula:
final amount= initial amount / (2^n)
n= elapsed time / half-life
For 20 years:
n= 20/10= 2
Final amount= 200/(2^2)
Final amount= 50 grams
For 60 years:
n= 60/10= 6
Final amount= 200/ (2^6)
Final amount= 3.125 grams
To calculate the elapsed time it is more complicated:
elapsed time= ln(ending amount/beginning amount) / (-decay constant)
ln= natural logarithm
decay constant= ln(2) / half-life
decay constant= 0.0693
elapsed time= ln(1.03/200) / (-0.0693)
elapsed time= 76.028
Prove:
n= 76.02/10= 7.602
Final amount= 200/(2^7.602)= 1.03 grams
What is the vertex of the equation f(x)=-4(x+2)^2+1
Answer: (-2,1)
Step-by-step explanation:
Step-by-step explanation:
and then we will have access you to get the information you want to cry because you have to be around and he said why he was about the feudal of his heart is the only way he could get his life back to
Which point represents 27 on the graph?
O Point A
O Point C
O Point D
O Point E
The difference of ten times a number and three is -13
Answer:
10n - 3 = -13
Step-by-step explanation:
PLZ HELP ASAP!!!!!
Which statement is true regarding the graphed function
A. f(0)=g(0)
B. f(-2)=g(-2)
C. f(0)=g(-2)
D. f(-2)=g(0)
The figure shows a line graph and two shaded triangles to find the slope: (picture below)
Which statement about the slope of the line is true? SHOW YOUR WORK. (5 points)
a
The slope of the line is 3.
b
The slope of the line is fraction 1 over 3 .
c
The slope of the line is 1.
d
The slope of the line is 2.
Answer:
the answer is d because it is
Answer:
D is the slope
Step-by-step explanation:
What are the solutions of this quadratic?
Y=X^2 -2X
Answer:
this is my answer but it's on you if you think this answer is correct or wrong
please help me solve
Answer:
CD
Step-by-step explanation:
Answer:
3rd one
Step-by-step explanation:
What is 20x - y = -40 in
slope-intercept form?
Answer:
y=20x+40
Step-by-step explanation:
slope-intercept form is y=mx+b. In order to place the equation into such format, you first need to move the 20x to the right, meaning you subtract it from both sides. you are left with -y=-20x-40. Since y cannot be negative or have any coefficient other than positive 1, you divide both sides by -1. -20/-1=20,, -40/-1=40,,-1/-1=1. Therefore, you are left with y=20x+40
Is the equation 2x + 5 = 1 true, false, or open? Explain.
Answer:
open
Step-by-step explanation:
beacause
2x+5=1
2x=1-5
2x=-4
x=-4/2
x-2 so its open
An open statement is a statement that has an unknown variable
[tex]2x + 5 = 1[/tex] is an open statement
The equation is given as:
[tex]2x + 5 = 1[/tex]
From the equation, we have the following observations.
2, 5 and 1 are constants
x is a variable
Because the equation has a variable (i.e. x), then it is an open statement
Hence, [tex]2x + 5 = 1[/tex] is an open statement
Read more about open statements at:
https://brainly.com/question/11151728
3х 4 = 3
what is the value of x?
Answer:
1/3
Step-by-step explanation:
transfer 4 to the other side then the sign will be minus
then divide 1 by 3
Answer:
To find the x-intercept, substitute in 0 for y and solve for x.
To find the y-intercept, substitute in
0 for x and solve for y.
x-intercept(s):
(43,0)
y-intercept(s):
(0,4)
Step-by-step explanation:
hope this helps!
(Sorry if it doesn't)
:)
How many solutions does the equation 24x-22=-4(1-6x) have?
Answer:
43
Step-by-step explanation:
just trust me
Determine the coordinates for the intersection of the diagonals in RSTK with vertices at
R(-8-2).S(-6, 7).
T(67), and U(4-2).
(-1.2.5)
Answer:
thanks for the points
Step-by-step explanation:
3(c+4) what's da answer
Answer:
c=4
Step-by-step explanation:
3(c+4)
3c+12
c=4
I hope this is correct and have a great day
Solve the problem.
A used car is for sale for $8,950. If Jenny will pay for the car over a 5-year period, what will be her monthly payment, to the nearest dollar?
$149/month
$3,729/month
$1,790/month
$60/month
Answer:
60 months = $8950
l month = ?
8950÷ 60
= $ 149 per month
Divide. 5,346 ÷ 29 Enter your answer in the boxes as a mixed number in simplest form.
Answer:
[tex]190\frac{26}{29}[/tex]
Step-by-step explanation:
____190__
29 | 5346
-29 (29*100=2900)
________
2446
-232 (29*90=232)
________
26
Therefore, the answer is [tex]190\frac{26}{29}[/tex]
In the mixed form we can write → 5346 ÷ 29 as [tex]$184\frac{10}{29} .\\[/tex]
We have the following operation -
5346 ÷ 29
We have to write the result of above division in mixed form.
What is Division Algorithm ?The division algorithm says when a number 'a' is divided by a number 'b' gives the quotient 'q' and the remainder 'r' then the following relation exists-
a = bq + r
where 0 ≤ r < b.
This is also known as Euclid's division lemma.
According to the question, we have -
5346 ÷ 29
Let A = 5346 ÷ 29. Therefore -
A = [tex]$\frac{5346}{29} = 184\frac{10}{29} .\\[/tex]
Hence, in the mixed form we can write → 5346 ÷ 29 as [tex]$184\frac{10}{29} .\\[/tex]
To solve more questions on Mixed numbers, visit the link below-
brainly.com/question/2753661
#SPJ2
help
plz (A) 4.00
(B) 0.25
(C) 1.00
(D)0.10
Answer:
0.25
Step-by-step explanation:
2.00÷8=0.25 and the rate keeps going constant at a rate of 0.25
17. Jenny is saving for a new 4-wheeler. The one she wants will cost her $784 total. She has saved $495 so far. If she is able to save $60 per week, how many weeks will it take for her to save at least $784?
Answer:
5 weeks
Step-by-step explanation:
I need ya help please
Simplify the expression:
(-4 + v)(3) - =
Answer:
-12 + 3v Is the answer
Hope this helps :)
2. Which of the following angles are
supplementary to Z2? Select all
that apply.
A 25 B 26 CZ7 D 28
Evaluate: f(x) = 2x^2 + 6x - 4; f(-5) *
1
-1 46
[tex]f(x)=2x^2+6x-4[/tex]
Find the f(-5) by substituting x = -5 in the equation.
[tex]f(-5)=2(-5)^2+6(-5)-4\\f(-5)=2(25)-30-4\\f(-5)=50-34\\f(-5)=16[/tex]
Therefore, the answer is f(-5) = 16.
Joe has to take two quizzes tomorrow. He has only enough time to study for one of them. The science quiz has 6 true or false questions. The english quiz has 4 multiple choice questions.
Answer:
C) English
Step-by-step explanation:
I don't really know how to explain it, so I'll show you instead.
For science, there are 6 of 6 correct answers with a 0.5 chance of answering correctly.
So,
0.5 x 0.5 x 0.5 x 0.5 x 0.5 x 0.5 = 0.016
For English, there are 4 of 4 correct answers with a 0.25 chance of answering correctly.
So,
0.25 x 0.25 x 0.25 x 0.25 = 0.004
They will have to study English (0.004) because it is lower than science (0.016).
The quiz he should study is; English because the probability of getting all questions correct is 0.004 which is lower than for science (0.016).
How to find Probability?We are told that for science, there are 6 of 6 correct answers with a 0.5 chance of answering correctly.
Thus;
P(6) = 0.5⁶ = 0.016
We are told that for English, there are 4 of 4 correct answers with a 0.25 chance of answering correctly.
Thus; P(4) = 0.25⁴ = 0.004
Thus, we conclude that they will have to study English because the probability of getting all questions correct is 0.004 which is lower than for science (0.016).
Read more about Probability at; https://brainly.com/question/251701
#SPJ2
How would I solve this step by step?
Answer:
Step-by-step explanation:
you would add 60 + 90 then subtract it from 180
Answer:
Easy so it's a 90 degree angle so 90 goes at the end.
Example: 3x+60=90
60-60=0
and then 90-60=30
now u have 3x=30
after this u divide by 3
30/3=10
x=10
answer is 10
and also can u plz answer my recent question
Find the measures of the indicated angles.
Step-by-step explanation:
first, find the value of angle t
angles of a triangle add up to 180.
with this, we can set up the equation
180 = t + 62 + 56
t = 62
to find angle w, find the sum of the top angles
25 + 56 = 81
again, sum of angles in a triangle adds to 180.
since we have the bottom right angle and the top angle, we can find the bottom left angle
180 = 56 + 62 + w
w = 37
finally we can find angle v
180 = 25 + w + v
180 = 25 + 37 + v
v = 118
another approach would be to find angle v after finding angle t.
because the two angles are supplementary, they add up to 180
angle v + angle w = 180
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]
Use the balanced hanger diagram to choose the equations
that best represents how to find the mass of the square.
A. 5t = 42
b. x + 27 = 4x + 15
C. 5t = 36
d. x + 15 = 4x + 12
Answer:jkcv
ijfklgjk
Step-by-step explanation:
vn vvcxkhvxcl
Choose the mathematical sentence that most accurately expresses the
information in the problem, and would be most helpful in solving it.
After spending 5 dollars, you have 310 dollars left. How many dollars did you
start with?
OA. d + 5=310
OB. d-5= 310
OC. d= 310 - 5
OD. d+ 5 = 310
OE 5 d=310
OF 5d= 310
Answer:
B) d-5=310
Step-by-step explanation:
Hope this helps!
I need help pleaseeeeeee
Answer:
1:2
Step-by-step explanation:
8 less than the product of 6 and a number is the same as 5 more than the number
Answer:
The algebraic expression will be:
8-6n = 5+nStep-by-step explanation:
Given the statement in English words
''8 less than the product of 6 and a number is the same as 5 more than the number''.
Let us break down the statement into an algebraic expression
FIRST PART
Let 'n' be the number
In Mathematics, product means multiplyso
The product of '6' and a number 'n' = 6n
∵Because 6 is a coefficient and n is a variable
now
8 less than the product of 6 and a number 'n' will be: 8-6n
2ND PART
5 more than the number 'n' means we need to add '5' into a number 'n'
i.e
5+n
COMBINE STATEMENT
Thus, the combined statement ''8 less than the product of 6 and a number is the same as 5 more than the number'' can be written as:
8-6n = 5+n
Thus, the algebraic expression will be:
8-6n = 5+nVERIFICATION:
Let us verify by finding the value of n
8-6n = 5+n
8-5 = 7n
7n = 3
n = 3/7
substituting n=3/7 in the equation
8-6n = 5+n
8 - 6(3/7) = 5+(3/7)
38/7 = 38/7
TRUE
Thus, the equation is true.
plz help me this is a final!!!!
Answer: (a) 13 (b) 1
Step-by-step explanation: The absolute value of -6 is 6. That equal 6 plus 7 which is 13. In the second equation, add -6 and 7 first. That is 1 and the absolute value of 1 is 1.
Answer:
A.13 b.-1
Step-by-step explanation:
a 6+7=13
b 6- -7=-1
