Answer:
A(t) = 0.825 g
Step-by-step explanation:
To solve this for amount remaining, we will use the equation;
A(t) = A_o × (½)^(t/t_½)
We are given;
Initial amount; A_o = 6.6 g
Half life; t_½ = 14
Time elapsed; t = 42
A(t) is amount of substance remaining
Thus;
A(t) = 6.6 × (1/2)^(42/14)
A(t) = 6.6 × (1/2)³
A(t) = 6.6 × ⅛
A(t) = 0.825 g
how to you find out the angles in a regular polygon
Answer:
Answer is on the pic
Step-by-step explanation:
I hope it's helpful!
Solve for x
(6x+5) (6x+16) (7x-3)
Answer:
i think it is 43
Step-by-step explanation:
The weather forecast says there’s 70% probability of rain tomorrow. What are the odds against rain
Answer:
30%
Step-by-step explanation:
Key skills needed: Probability
1) There is a 70% chance of rain.
2) We need to find the chances against rain.
3) To do this, we need to use the fact that
70% + x = 100% (Since all the probabilities add up to 1 or 100%)
4) If you subtract 70% from both sides, x = 30%
5) This means the probability against rain is 30%.
Hope you understood and have a nice day!! :D
the square of a number minus 14
Answer:
-196
explain: √3.742 - 14 = -196
please help for brainliest! :)
Answer:
Answer: 28 in
Step-by-step explanation:
Please find the attachment
THIS IS FOR DANCE THERE JUST ISNT AN OPTION :)
What are some stretches that you can complete to increase flexibility and strength in your arms?
Classify each triangle by it angle and by its sides plz help me out
Answer:
scalene, acute
Step-by-step explanation:
plzz help mee e
A motor home starts across a lake. The lake is 7 miles long and it takes 0.5 hours to get across. What is the speed? Write a formulae and show a label.
What is the opposite of negative seven?
Answer: 7 is the opposite of negative 7
Step-by-step explanation:
Hope this helps :)
You have two pieces of rope. One piece is of rope is 98 feet and the other is 56 feet. You need to cut the rope into equal lengths with non left over. What is the greatest possible lenth you can cut the rope so all peices will be the same
Answer:
14 feet
Step-by-step explanation:
We solve the above question by using the Greatest Common Factor method
We find the factors of 56 and 98
The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, 56
The factors of 98 are: 1, 2, 7, 14, 49, 98
Then the greatest common factor is 14.
Therefore, the greatest possible length you can cut the rope so all pieces will be the same is 14 feet
please just explain how to do this lol ty <3
Step-by-step explanation:
1. Increase amount = 40-25=15 Increase percent = (15/25)×100%= 60%.
2.Increase amount = 30-15 = 15. Increase percent = ( 15/15)× 100% = 100%.
3. Increase amount= 50-18=32 Increase percent= (32/18) x100% = 177.77%
4. Increase amount= 80-22=58 Increase percent= (58/80) x 100% = 72.5% -----> 73% (when rounded of to the nearest 10's).
5. Increase amount= 18-16=2 Increase percent = (2/18)×100 %= 11.111...% -----> 11% (when rounded of to the nearest 10's).
6. Increase amount = 10-3=7 Increase percent= (7/10)×100% = 70%.
7. Increase amount = 100-85 = 15 Increase percent = ( 15/100) × 100% = 15%
Can someone help me with this ASAP
Answer:
[C] 52
Step-by-step explanation:
If line SQ bisects angle RST, that means it splits it in half. This would make angles RSQ and QST equivalent.
So that means that angle RSQ would equal 26
Since the question is asking for angle RST (the whole angle), you would add both of the angles
26 +26 = 52
Need help please its Calculus. Ill give the 5 stars as well.
Answer:
[tex]\displaystyle y = 2e^\bigg{\frac{x^3}{3}} + 1[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of OperationsEquality PropertiesAlgebra I
FunctionsFunction NotationExponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]Algebra II
Natural logarithms ln and Euler's number eCalculus
Derivatives
Derivative Notation
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Slope Fields
Separation of VariablesSolving DifferentialsIntegrals
AntiderivativesIntegration Constant C
Integration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
U-Substitution
Logarithmic Integration: [tex]\displaystyle \int {\frac{1}{u}} \, dx = ln|u| + C[/tex]
Step-by-step explanation:
*Note:
When solving differential equations in slope fields, disregard the integration constant C for variable y.
Step 1: Define
[tex]\displaystyle \frac{dy}{dx} = x^2(y - 1)[/tex]
[tex]\displaystyle f(0) = 3[/tex]
Step 2: Rewrite
Separation of Variables. Get differential equation to a form where we can integrate both sides and rewrite Leibniz Notation.
[Separation of Variables] Rewrite Leibniz Notation: [tex]\displaystyle dy = x^2(y - 1) \ dx[/tex][Separation of Variables] Isolate y's together: [tex]\displaystyle \frac{1}{y - 1} \ dy = x^2 \ dx[/tex]Step 3: Find General Solution Pt. 1
[Differential] Integrate both sides: [tex]\displaystyle \int {\frac{1}{y - 1}} \, dy = \int {x^2} \, dx[/tex][dx Integral] Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle \int {\frac{1}{y - 1}} \, dy = \frac{x^3}{3} + C[/tex]Step 4: Find General Solution Pt. 2
Identify variables for u-substitution for dy.
Set: [tex]\displaystyle u = y - 1[/tex]Differentiate [Basic Power Rule]: [tex]\displaystyle du = dy[/tex]Step 5: Find General Solution Pt. 3
[dy Integral] U-Substitution: [tex]\displaystyle \int {\frac{1}{u}} \, du = \frac{x^3}{3} + C[/tex][dy Integral] Integrate [Logarithmic Integration]: [tex]\displaystyle ln|u| = \frac{x^3}{3} + C[/tex][Equality Property] e both sides: [tex]\displaystyle e^\bigg{ln|u|} = e^\bigg{\frac{x^3}{3} + C}[/tex]Simplify: [tex]\displaystyle |u| = Ce^\bigg{\frac{x^3}{3}}[/tex]Rewrite: [tex]\displaystyle u = \pm Ce^\bigg{\frac{x^3}{3}}[/tex]Back-Substitute: [tex]\displaystyle y - 1 = \pm Ce^\bigg{\frac{x^3}{3}}[/tex][Equality Property] Isolate y: [tex]\displaystyle y = \pm Ce^\bigg{\frac{x^3}{3}} + 1[/tex]General Form: [tex]\displaystyle y = \pm Ce^\bigg{\frac{x^3}{3}} + 1[/tex]
Step 6: Find Particular Solution
Substitute in function values [General Form]: [tex]\displaystyle 3 = \pm Ce^\bigg{\frac{0^3}{3}} + 1[/tex]Simplify: [tex]\displaystyle 3 = \pm C + 1[/tex][Equality Property] Isolate C: [tex]\displaystyle 2 = \pm C[/tex]Rewrite: [tex]\displaystyle C = 2[/tex]Substitute in C [General Form]: [tex]\displaystyle y = 2e^\bigg{\frac{x^3}{3}} + 1[/tex]∴ our particular solution is [tex]\displaystyle y = 2e^\bigg{\frac{x^3}{3}} + 1[/tex].
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentials and Slope Fields
Book: College Calculus 10e
Find the perimeter.
Write your answer as a fraction or as a whole or mixed number,
2
mm
w
1
mm
1
Alw
mm
m
2
HL
mm
millimeters
Answer:
2 1/5
2 X 5 + 1 = 11/5
11/5 X 2/1 = 22/5
1 3/4
1 X 4 + 3 = 7/4
7/4 X 2/1 = 14/4
22/5 + 14/4
5 X 4 = 20
4 X 22 = 88
5 X 14 = 70
88/20 + 70/20 = 158/20
20 goes into 158 7 times with 18 left over
7 18/20 simplified = 7 9/10
27 km
36 km
What is the length of the hypotenuse?
Answer:
The length of hypotenuse is 45 kilometers
Step-by-step explanation:
Assuming that given lengths are of perpendicular and hypotenuse, and the triangle is a right angled triangle
Perpendicular = P = 27 km
Base = B = 36 km
Hypotenuse = H = ?
We can use Pythagoras theorem for finding the length of hypotenuse
The Pythagoras theorem is given by:
[tex]H^2 = B^2+P^2[/tex]
Putting the values, we get
[tex]H^2 = (36)^2 + (27)^2\\H^2 = 1296 + 729\\H^2 =2025[/tex]
Taking square root on both sides
[tex]\sqrt{H^2} =\sqrt{2025}\\H =45[/tex]
Hence,
The length of hypotenuse is 45 kilometers
witch formula would you use when u are looking for the slope of a line and given two points on the line
a point slope formula
b slope formula
c slope formula and point slope
d slope intercept formula
Answer:
you are probably gonna get it wrong
Step-by-step explanation:
i dont know the answer
please help me my teacher won't help and I dont get this problem
The first equation from the system of equations is
graphed. Graph the second equation to find the solution
of the system of equations.
y=-X,
y = 2x + 6
What is the point of intersection?
O (2,1)
O (-1,2)
O (0,6)
O (-2,2)
List 6 words that relate to area and explain why you chose/selected them.
Answer Please.
The mean housing price for an area is $135,000 with a standard of $45,000 but is not normally distributed. According to the Central Limit Theorem what would we need to make sure is true about our sample in order to use normal distribution
Answer:
A sample size greater than 30
Step-by-step explanation: The central limit theorem proffers the conditions necessary to obtain a normal or bell shaped distribution. It defines normal distribution in terms of mean, standard deviation and sample size. The sample size is a very important factor in determining the shape of a distribution.
Thus with a population having mean and standard deviation stated, in other to make use of or assume normal distribution, the sample size must be large. According tho the central limit theorem, a size of greater than 30 is deemed to be large enough. As the Same size increases, the sample mean converges to the value of the population mean.
of 30 students, į play sports. Of those who play sports, į play soccer.
How many students play soccer?
Answer:
4 players play soccer. Hope that helps :)
Step-by-step explanation:
I am not sure I just know the answer.
Proportions
The basketball team can run down the court 8 times in thirty seconds. How many times can they run dofin the court in two minutes?
Answer:
They can run 32 times down the court
Step-by-step explanation:
Please help ASAP please
Answer:
I would love to help but the image is not there on my screen. :(
Step-by-step explanation:
Kelley opens a bank account to save for a down payment on a car. Her initial deposit is $250 and she
plans to deposit 10% more each month. Kelly's goal is to have $2,000 in the account after six months.
How much money, in dollars and cents, will Kelley have saved after six months?
Answer: 1928.90
Step-by-step explanation:
There are 45 female performers in a dance recital. The ratio of men to women is 8:9. How many men are in the dance recital? There are
men in the dance recital.
Answer:
Step-by-step explanation:
so we have
8 men.........................................9 women
40 men.......................................45 women
there are 40 men in the recital
45/9=5
5*8=40 men
HELP ME WITH THIS QUESTION PLEASE AND ILL GIVE SOMEBODY THE BRAINLIEST ANSWER
I want to get an iwatch 3, the 38mm costs $169.00 at Walmart, and the 42 mm cost $199.00. The difference is found by using?
A. Multiplication
B. Division
C. Addition
D. Subtraction
Answer:
it should be D. subtraction
Which of the following ordered pairs are solutions to the linear inequality y≤5x−4?
(Select all that apply)
Answer:
see below
Step-by-step explanation:
y≤5x−4
Substitute the points in and see if they are true
(0,4)
4≤5*0−4
4≤−4 Not true not a solution
(1,3)
3≤5*1−4
3≤1 Not true not a solution
(4,3)
3≤5*4−4
4≤16 true solution
(3,-1)
-1≤5*3−4
-1 ≤11 true solution
(1,1)
1≤5*1−4
1≤1 true solution
(6,0)
0≤5*6−4
0≤26 true solution
Step-by-step explanation:
All except first 2
Let's verify
#3
(4,3)[tex]\\ \rm\Rrightarrow 3<=5(4)-4<=20-4<=16\checkmark[/tex]
#4
(3,-1)[tex]\\ \rm\Rrightarrow -1<=15-1<=14\checkmark[/tex]
#5
(1,1)[tex]\\ \rm\Rrightarrow 1<=5-4=1\checkmark[/tex]
#6
(6,0)[tex]\\ \rm\Rrightarrow 0<=30-4<=26\checkmark[/tex]
please help I did not learn this
Answer:
2^8
Step-by-step explanation:
Answer:
2 and a little 3 on top of the 2
Step-by-step explanation:
I need help please T-T if your wondering why... just read my username
You don't need to do number 2
Answer:
I believe that its B, 3(x + 6)= 30
Answer:It is B 3(x + 6)= 30
Can y’all help me on these plzz I’ll mark Brainly!!!!!!!
Answer:
its d for number 1
Step-by-step explanation:
please help making brainliest if correct
Answer:
I'm very sure this is using SAS.
Answer:
SAS is the correct answer