Answer:
15.625 grams
Step-by-step explanation:
The decay is First order reaction
The half life of the first order reaction is given by
T(1/2) = ㏑2/K
where K is the reaction constant for the first order reaction
T(1/2) = 2
2 = ln 2 /K
K = ln2/2
The equation of the first order reaction is given by
Kt = ln ([tex]\frac{Ro}{R}[/tex])
where
t = time = 10years
Ro = initial concentration
R = amount left after time t
upon substituting the values
[tex]\frac{ln2}{2}*10 = ln( \frac{500}{R})[/tex]
5ln2 = ln (500/R)
ln [tex]2^5[/tex] = ln (500/R) (a*lnb = ln[tex]b^a[/tex])
[tex]2^5 = 500/R[/tex]
R = 500/32 = 15.625grams
Therefore the amount of pesticide left after 10 years is 15.625grams
The jacks and balls have to be spilt among 6 people . Use the distributive property to pull the number 6 out of the expression
Answer: (24 + 60) = (6 × 4 + 6 × 10) = 6 × (4 + 10)
Given: angle 1= angle 2
If AB=10,AC=6,and BC=6, find AD.
A.5
B.15
C.10
Answer:
AD=5
Step-by-step explanation:
We are given that
AB=10, AC=6 BC=6
We have to find the value of AD.
Let AD=x
BD=AB-AD
BD=10-x
Credits to: lublana
Step-by-step explanation
Question to
Questions of 8 Page 3
Lights on the Lake charges $10 per car plus $2 for every person in the car. If the
total charge is represented by T, and the number of people in the car is represented
Write an equation for the cost of each car .
Answer:
T=10c+2p
Step-by-step explanation:
1
Triangle ABC can be taken to triangle A'B'C'using rigid motions and a dilation,
Select all the equations that are true,
Answer:
1st, 4th and 5th equationsStep-by-step explanation:
Correct ratios as per diagram are:
1st, 4th and 5th equations2nd and 3rd equations are incorrect as showing incorrect ratios or not corresponding sides.
Answer:
mine is in different order
Step-by-step explanation:
find the height of the triangle in which A=192 cm^2
Step-by-step explanation:
one second 12345678910
geometry lol i don’t know !!!
Answer: 1
Step-by-step explanation:
8x -1 = 4x + 3
-4x - 4x
4x -1 = 3
+1 +1
4x=4
x=1
(x - 4)(2x - 1)(3x - 2) = 0
What is the product of all values of x that satisfy the equation above?
Answer:
Step-by-step explanation:
If any individual factor on the left side of the equation is equal to
0
, the entire expression will be equal to
0
.
2
x
−
1
=
0
3
x
+
2
=
0
Set the first factor equal to
0
and solve.
Tap for more steps...
x
=
1
2
Set the next factor equal to
0
and solve.
Tap for more steps...
x
=
−
2
3
The final solution is all the values that make
(
2
x
−
1
)
(
3
x
+
2
)
=
0
true.
x
=
1
2
,
−
2
3
The result can be shown in multiple forms.
Exact Form:
x
=
1
2
,
−
2
3
Decimal Form:
x
=
0.5
,
−
0.
¯
6
The product of all values of {x} that satisfy the equation →
(x - 4)(2x - 1)(3x - 2) is 4/3.
What is algebraic expression?An algebraic expression is a combination of terms, both constants and variables. For example, we can write the algebraic expressions as -
2x + 3y + z
4x + 5
Given is the algebraic expression as -
(x - 4)(2x - 1)(3x - 2)
The given expression is -
(x - 4)(2x - 1)(3x - 2) = 0
We can write -
(x - 4) = 0 or (2x - 1) = 0 or (3x - 2) = 0
x = 4 or x = 1/2 or x = 2/3
The product of all values of {x} that satisfy the equation above is -
4 x 1/2 x 2/3
4/3
Therefore, the product of all values of {x} that satisfy the equation →
(x - 4)(2x - 1)(3x - 2) is 4/3.
To solve more questions on simplifying expressions , visit the link below
https://brainly.com/question/403991
#SPJ2
if 2/3 = x/12, what us the value of x ?
Answer:
x=8
Step-by-step explanation:
Need help fast!! Mark brainliest
Alrighty Daniel I think I've figured it out for you. A and B are 55° each, and then C is 70°. Hope I've helped!!
please help
Greater than
Less than
or Equal to
for a relation to be a function what must never happen
Answer:
Step-by-step explanation:
A function is a relation in which each input has only one output
so a relation cannot have more than one output
Answer:
each input (x-value) only has one output (y-value)
Step-by-step explanation:
you can use the vertical line test; pretend to draw vertical lines and if there are two point on the graph where the vertical line touches, it cannot be considered function.
Select all of the equations that passes through (5,2) and (0,18)??
25 points
Answer:
A
E
F
those are the only three answers the rest of them are wrong
PLEASEEEEE HELP ME
yes, hl
yes, asa
no not enough info
yes, sas
Answer:
a) Yes, HL
Step-by-step explanation:
[tex]We\ know\ that:\\Both\ triangles\ are\ right\ triangles. (90\ degree)\\They\ share\ a\ common\ side.\\They\ have\ their\ hypotenuses\ corresponding.\\Hence,\\Through\ HL(If\ the\ hypotenuse\ and\ any\ leg\ of\ the\ triangles\ are\ corresponding,[/tex][tex]then,\ the\ two\ triangles\ are\ congruent.)[/tex]
[tex]We\ can\ hence,\ conclude\ that\ the\ given\ triangles\ are\ congruent.[/tex]
Can someone help me do this? I don't really know how to set up the inequalities
Answer:
Symbol
Words
Example
>
greater than
x + 3 > 2
<
less than
7x < 28
≥
greater than or equal to
5 ≥ x − 1
≤
less than or equal to
2y + 1 ≤ 7
Step-by-step explanation:
describe this number line and the numbers and fractions shown.
Answer:
Every real number other than zero is either positive or negative. The non-negative whole numbers are referred to as natural numbers (i.e., 0, 1, 2, 3...), while the positive and negative whole numbers (together with zero) are referred to as integers. (Some definitions of the natural numbers exclude zero.)
Step-by-step explanation:
Answer:
Sample Response: The number line shows -2 through 2, divided into fourths, with zero in the middle. The numbers increase as you move right and decrease as you move left.
Plz mark brainlest
hey! can you all answer this problem for me please =) its for a test :)
Answer:
Well.. Brainly isn't made for test answers and it breaks their rules, but I will answer.. Not right now tho cus im in math class doing problems but I PROMIS that I WILL edit this and put the answer in. (The upcoming and this sentence is pre-written and copy and pasted in every brainly question or comment I write or answer.) If this answer helped you please consider giving it brainliest.
- •Trix•
( Yes I know my - •Trix• thingy is not my user but its what I would change it to if I could but I can't, please address me as Trix while commenting or talking to me here.)
Answer: it B
Step-by-step explanation: because first 2 = 2/1 / 1/3 but u can’t divide them so you change divide sign on multiple so means 2/1 * 1/3 but the 1/3 flips numbers 3/1 so 2/1 * 3/1 = 6
If you are in a store and there is a discount sale u buy something and the original price was $45 and the discounted price was $18 what was the discount?
Answer:
Alternatively, if you notice that 25/100 simplifies to 1/4, we can use 1/4 in our ... Then we subtract this discount from the original price yielding 48 – 12 = 36; thus, ... There is a sale for 20% off on a sweater your grandma wants to buy you for ... the store and gets an additional 25% discount off the already discounted sale price.
(:
Answer:
40% off. 40% of 45 is 18
Step-by-step explanation:
Alana is purchasing a $160,000 home and her bank is offering her a 30-year
mortgage at a 4.9% interest rate. In order to lower her monthly payment,
Alana will make a 20% down payment and is considering a purchase of 3
points. How much lower will her monthly payment be if she purchases the
points?
Answer:
The amount by which her monthly payment will be lower if she purchases the points is $57.12.
Step-by-step explanation:
Since Alana will make a 20% down payment, the mortgage loan balance can be calculated as follows:
Mortgage loan balance = Mortgage amount – Down payment = $160,000 – ($160,000 * 20%) = $160,000 - $32,000 = $128,000
The amount by which her monthly payment will be lower if she purchases the points can now be calculated using the following steps:
Step 1: Calculation of monthly payment without purchasing 3 points
The monthly payment can be calculated using the formula for calculating loan amortization as follows:
P = (A * (r * (1 + r)^n)) / (((1+r)^n) - 1) .................................... (1)
Where,
P = monthly payment without purchasing 3 points = ?
A = Mortgage loan balance = $128,000
r = monthly interest rate = 4.9% / 12 = 0.049 / 12 = 0.00408333333333333
n = number of payment months = 30 years * 12 months = 360
Substituting all the figures into equation (1), we have:
P = ($128,000 * (0.00408333333333333 * (1 + 0.00408333333333333)^360)) / (((1 + 0.00408333333333333)^360) - 1)
P = $679.33
Step 2: Calculation of monthly payment if she purchases 3 points
Typically, each points purchased reduces the interest rate by 0.25%. Since Alana is considering a purchase of 3 points, her new interest rate can then be calculated as follows:
New interest rate = 4.9% - (0.25% * 3) = 4.9% - 0.75% = 4.15%
The monthly payment can also be calculated using the formula for calculating loan amortization as follows:
P3 = (A * (r * (1 + r)^n)) / (((1+r)^n) - 1) .................................... (2)
Where,
P3 = monthly payment if 3 points is purchased = ?
A = Mortgage loan balance = $128,000
r = new monthly interest rate = 4.15% / 12 = 0.0415 / 12 = 0.00345833333333333
n = number of payment months = 30 years * 12 months = 360
Substituting all the figures into equation (2), we have:
P3 = ($128,000 * (0.00345833333333333 * (1 + 0.00345833333333333)^360)) / (((1 + 0.00345833333333333)^360) - 1)
P3 = $622.21
Step 3: Calculation of the amount by which her monthly payment will be lower if she purchases the points
This can be calculated as follows:
Amount of reduction = P - P3 = $679.33 - $622.21 = $57.12
Therefore, the amount by which her monthly payment will be lower if she purchases the points is $57.12.
Answer:
28.87
Step-by-step explanation:
i just did the quiz
of this data set 56, 57, 57, 58, 59, 60, 60, 60, 62, 64, 64, 66, 67, 67, 67, 68 what's the mean absolute deviation
Answer:
3.625
Step-by-step explanation:
Answer:
62
Step-by-step explanation:
“To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values. Find the absolute value of the difference between each data value and the mean” you are basically adding all the numbers together and dividing by the amount of numbers there
Hope this helped
Which table does not show y as a function of x please show explation
If n is an integer and n×10 is a negative number, which of the following statements must be true?
n 0
n = 0
None of the above.
Answer:
N is a negative number, and since you did not provide a clear first option, I will assume the answer is none of the above. However, the accurate answer is n < 0.
Step-by-step explanation:
Hope this helped!
How would you solve 5x+9=x-23
Step-by-step explanation:
5x+9=x-23
5x-x=-23-9
4x=-32
4x/4=-32/4
x=-8
Answer:
x=-8
Step-by-step explanation:
5x+9=x-23
Add 23 on both sides
23 cancels on right side of the equation
5x+32=x is what you have now
Now subtract 5x on both sides
5x cancels on left side of the equation
32=-4x is your new equation
Divide -4 on both sides of the equation
-8=x is now your answer
Hope this helps!!
I=$24, P=$400, T=2years
Answer:
rate = 24*100/(400*2) = 3%
Step-by-step explanation:
What is the slope of a line that passes through (0,4) (6,13)
Answer: m=3/2
.
Step-by-step explanation:Use the slope formula to find the slope
m
.
Which correctly describes how the graph of the inequality -5x+3y>9
find the slope is the line
Solve the inequality. 4v + 9 ≤ 5 or -3 >= -6
Answer:
v ≤ − 1 or Always true
Step-by-step explanation:
I hope this helps!
Answer:
v ≤ − 1
Step-by-step explanation:
Calculate the composite surface area of the figure !!
can someone give me the correct answer to this problem?
3x + 5 = 2x + 7 What should you do first to isolate the variable?
Answer:
you can subtract 2x from both sides
Then subtract 5 from both sides.
x = 2 is what the equation gives you
Step-by-step explanation:
You can do one of two things.
1. You can subtract 2x from both sides of the equation
or
2. You can subtract 5 from both sides of the equation.
Either one will give you the correct answer.
3x - 2x + 5 = 2x - 2x + 7 Combine the xs
1x + 5 = 7 Subtract 5 from both sides.
x + 5-5 = 7-5
x = 2
Answer:
subtract the lowest variable from the highest variable.
Step-by-step explanation:
3x+5=2x+7
1x+5=7
add the 5 to the 7
12
divide 12 and the 3x
Answer: 4.
x=4