After 200 years, 9.84 grams of Cesium would remain.
Let N represent the amount of substance after t years
The half-life of a cesium is 30 years., hence, this can be represented by exponential function:
[tex]N(t)=ab^t[/tex]
where a is the initial value and b is the multiplier.
There were initially 1000g of the substance
a) The exponential model for this situation is:
[tex]N(t) =1000(\frac{1}{2} )^{\frac{1}{30} t}\\\\N(t) =1000(\frac{1}{2} )^{\frac{t}{30}[/tex]
b) After 200 years (t = 200), the amount of Cesium remaining is:
[tex]N(200)=1000(\frac{1}{2} )^\frac{200}{30} \\\\N(200) = 9.84g[/tex]
Hence after 200 years, 9.84 grams of Cesium would remain
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Frank multiplied 7 and 528 and got the product 3,696.
Which estimate shows that his answer is reasonable?
Step-by-step explanation:
I think because the last number in 528 is 8 therefore 7×8 is 56 and the product last number is 6 there you have it
HELP
15.4 = -2.1 + a/0.2
Answer:
a = 3.5
Step-by-step explanation:
15.4 = -2.1 + a/0.2
Combine like terms:
15.4 = 2.1 + 5a
Swap sides:
-2.1 + 5a = 15.4
convert the unit
1.5kg to g
Answer:
The answer should be 1500g I think.
What is the answer to this problem and how do u solve it. -8 - 9 =
Answer:
not possible
Step-by-step explanation:
Answer:
-17
Step-by-step explanation:
(I originally posted this as a comment because Brainly was not allowing me to answer).
-8 is a negative number, which means many operations don't work the same on it. Subtracting a positive number from a negative number will give you the same result as adding the two positive numbers (in this case, 8 + 9), though the answer will also be negative. Hope this helps!
Please I’ll mark brainiest and I’ll give extra points !!
Answer:
B
Step-by-step explanation:
2.75 x 0.10x
x in this case is 0
so 2.75 x 0.10x0
= 2.75
After their first two plays, a football team's position is –7 yards with respect to the original line of scrimmage. How many yards does the team need to gain on its next play to get back to the original line of scrimmage?
Answer:
I think its 17 yards if I read that correctly
Answer:
Step-by-step explanation:Its location is based on the spot where the ball is placed after the end of the most recent play and following the assessment of any penalty yards.
3. Find the sum of TU and OL.
Answer:
18
Step-by-step explanation:
by similarity of triangles TYU and OYL we have
[tex]x + 2 = 2(2x - 14) = 4x - 28 \\ 3x = 28 + 2 = 30 \\ x = 10[/tex]
then
TU=6, OL=12
PROBLEM SOLVING A water sample must be taken from water at least 20 feet deep. Find the depth of the water 50 feet
from shore.
50 ft
5 ft
21.5t
d
Not drawn to scale
The depth is
feet.
Is this an appropriate location for a water sample?
Using the principle of similar triangles, the appropriate depth to take the water sample should be 15 feets
Setting up the equation thus :
1.5 / d = 5 / 50
Cross multiply
1.5 × 50 = d × 5
75 = 5d
Divide both sides by 5
5d / 5 = 75/5
d = 15
Therefore, the appropriate depth to take the water sample is 15 feets.
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help me please i need it
Answer:C
Step-by-step explanation:
So, I have a math problem, the problem is,16x^0+2x^2*y^-1,How do I solve if x = 2 and y = 4?
Answer:
Given x = 2 and y =4
so 16[tex]x^{0}[/tex]+2[tex]x^{2}[/tex][tex]y^{-1}[/tex]
= 16*[tex]2^{0}[/tex] + 2*[tex]2^{2}[/tex]*[tex]4^{-1}[/tex]
= 16 + (2*4)/4
=16 + 8/2
16 + 2
=18
Step-by-step explanation:
Can you help me please.
Answer:
can you take a better photo?
Step-by-step explanation:
Full view of the picture please
Can anyone help me with this
Answer:
the answer is option D......
120 degrees and 5x+1
solve for x
Answer:
x=9
Step-by-step explanation:
180 =120+5x+15
60=5x+15
45=5x
9=x
The school that Jenny goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 14 adult tickets and 14 child tickets for a total of $322. The school took in $188 on the second day by selling 12 adult tickets and 1 child ticket. What is the price of each of one adult ticket and one child ticket?A. Adult Tickets: $17, Child Ticket: $12B. Adult Tickets: $15, Child Ticket: $8C. Adult Tickets: $9, Child Ticket: $3D. Adult Tickets: $24, Child Ticket: $13
The price of one adult ticket is $15 and the price of one child ticket is $8.
Two sets of equations can be derived from this question:
14a + 14c = 322 equation 1
12a + c = 188 equation 2
These equations are known as simultaneous equations and they can be solved to determine the cost of each ticket using the elimination method.
In order to determine the cost of the adult's ticket multiply equation 2 by 14
168a + 14c = 2632 equation 3
Subtract equation 1 from 3
2310 = 154a
Divide both sides by 154
a = $15
To determine the cost of the children's ticket substitute for a in equation 1
14(15) + 14c = 322
210 + 14c = 322
322 - 210 = 14c
112 = 14c
c = $8
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Gain is calculated on the selling price. t or false
Answer:
true its true ..
Step-by-step explanation:
we can know our profit or loss by our selling price
Larry Gold’s gross pay for this week as a stock clerk for Hensley’s is $375.15. He is single and claims 2 allowances. Using the percentage method of withholding, what is his withholding for federal income tax?
Larry gold is withholding $22.38 in federal tax income.
The federal government and the majority of states in the US impose income taxes.
Applying a tax rate to taxable income, which is the entire income less permissible deductions, yields the income taxes, which may rise as income rises. Income is a broad concept. Estates and trusts may be subject to taxation on income that has not been dispersed, in addition to individuals, corporations, and the government. (With a few exceptions for Federal income taxation) Partnerships are not subject to taxation; however, the partners of a partnership are. While nonresidents are solely subject to local taxes, residents and citizens are subject to worldwide taxes. Numerous credit kinds lower taxes, and some credit types may even be more than taxes before credits. There is an alternative tax.Given that Larry gross pay for this week is $375.15
Now we know from the income tax table that the withheld tax is calculated by calculating 6% of the gross pay when there are 2 allowances.
Tax = 6% of 375.15 = 22.38
Hence the withholding for federal income tax is $22.38 .
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Someone help pls I forgot how to do it
(2,4)
Step-by-step explanation:
I'm not sure in the slightest but with the formula I learned I think this is correct
True or False: If one of the legs in a right triangle is half of the hypotenuse, then the angle opposite to that leg is 60 degrees.
We want to see if the given statement is true or false.
We will prove that the statement is false.
The statement is:
" If one of the legs in a right triangle is half of the hypotenuse, then the angle opposite to that leg is 60 degrees."
We can use the rule:
Sin(θ) = (opposite cathetus)/(hypotenuse).
Let's define:
hypotenuse = H
opposite cathetus = H/2
Let's see if the given angle is equal to 60°, we will have:
Sin(θ) = (H/2)/H = 1/2
θ = Asin(1/2) = 30°
So we can see that the statement is false.
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The circle graph shows the results of a survey. Of those surveyed, 200 said yes. About how many people were surveyed?
Answer:
250 people
Step-by-step explanation:
let's first look for the missing 20%,
one way you can solve this is by cross multiplication:
since 80% is 200 then 80% = 200
and we know 20% is x then 20% = x (we use x because we don't know the amount of people)
so then we set it up:
[tex]\frac{x}{20}[/tex] × [tex]\frac{200}{80}[/tex]
now we cross multiply:
80x = 4000
= x = 50
now we need to find how many people were surveyed so we do:
200 + 50 = 250
250 people were surveyed
guys pls help me!!!!!!
Answer:
17 degrees
Step-by-step explanation:
x would be roughly 15
so sorry if incorrect
- 150 and -50 which one is bigger in inequality?
please help! I will give you brainliest.
Answer:
-150
Cause right now it's negative I think
Yes
You have a $25 gift card for a donut shop. Each donut costs $1.25. Write an equation in
slope-intercept and standard form that gives the amount (in dollars) that remains on the card as a
function of the total numbers of donuts you have purchased so far.
The equation of the given situation is required.
Slope intercept form [tex]y=-1.25x+25[/tex]
Standard form [tex]1.25x-y=25[/tex]
The total amount of money is $25.
Cost of one donut is $1.25
Let y be the amount of money left
x be the number of donuts bought.
So, the amount of money left after buying x donuts is
[tex]y=25-1.25x\\\Rightarrow y=-1.25x+25[/tex]
The standard form is [tex]1.25x-y=25[/tex]
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Determine the product of the binomial -5x-7 and the trinomial
3x2-4x-5. To earn full credit, show your work using a method explained in
the Orientation
Answer:
[tex]( - 5x - 7)(3 {x}^{2} - 4x - 5) \\ \\ - 15 {x}^{3} + 20 {x}^{2} + 25x - 21 {x}^{2} + 28x + 35 \\ \\ - 15 {x}^{3} + 20 {x}^{2} - 21 {x}^{2} + 25x + 28x + 35 \\ \\ = - 15 {x}^{3} - {x}^{2} + 53x + 35[/tex]
I hope I helped you^_^
Simplify 3 square root 900
Answer:
30
Step-by-step explanation:
The square root of 900 is 30. It is the positive solution of the equation x2 = 900. The number 900 is a perfect square.
Answer:
The square root of 900 is 30. It is the positive solution of the equation x2 = 900. The number 900 is a perfect square
Will give brainliest to best answer
Simplify please
-7(3e + 4) + 6e - 2
Answer:
-30 - 15e
Step-by-step explanation:
given -7(3e + 4) + 6e - 2, we can distribute -7 to parenthesis
-21e - 28 + 6e - 2, then we add like numbers
-15e - 30
Answer:
-15e - 30
Step-by-step explanation:
-7(3e + 4) + 6e - 2
Simplify:
-21e + (-28) + 6e - 2 (distribute -7 to 3e + 4)
-21e + 6e - 28 - 2 (combine like terms)
-15e - 30 (combine like terms)
-Chetan K
find the value of s
An exploring ship is pulling up a diver at the rate of 25 feet per minute. The diver is currently 100 feet below sea level. How deep was the diver 15 minutes ago?
Find a second-degree polynomial P such that P(2)
9, P'(2) = 11, and p'(2) = 8.
Answer:
firfire is ur answer write this
if 1 ounce is approximately epual o 28.35g 5 ounces about how many grams
Answer:
141.75g
Step-by-step explanation:
28.35 x 5 = 141.75
I am pretty sure this is the right answer!
8. A cyclist can travel 18.6 miles in 3 hours. At this rate, how far can the same cyclist travel in 30 minutes?
a.6.2 miles
b.3.1 miles
c. 12.4 miles.
d. 16.2 miles
Answer:
b: 3.1
Step-by-step explanation:
because i had to do 18.6 divided by 6 because thats how many 30 minutes are in 3 hours then that was 3.1 so in 30 minutes he could ride 3.1 miles