Answer:
B
Step-by-step explanation:
I just took the test and teacher said it
Answer:
b
Step-by-step explanation:
/////////////////////////////////////////////
the half-life of chromium-51 is 38 days. If the sample contained 510 grams. How much would remain after 1 year?
Answer:
About 0.6548 grams will be remaining.
Step-by-step explanation:
We can write an exponential function to model the situation. The standard exponential function is:
[tex]f(t)=a(r)^t[/tex]
The original sample contained 510 grams. So, a = 510.
Each half-life, the amount decreases by half. So, r = 1/2.
For t, since one half-life occurs every 38 days, we can substitute t/38 for t, where t is the time in days.
Therefore, our function is:
[tex]\displaystyle f(t)=510\Big(\frac{1}{2}\Big)^{t/38}[/tex]
One year has 365 days.
Therefore, the amount remaining after one year will be:
[tex]\displaystyle f(365)=510\Big(\frac{1}{2}\Big)^{365/38}\approx0.6548[/tex]
About 0.6548 grams will be remaining.
Alternatively, we can use the standard exponential growth/decay function modeled by:
[tex]f(t)=Ce^{kt}[/tex]
The starting sample is 510. So, C = 510.
After one half-life (38 days), the remaining amount will be 255. Therefore:
[tex]255=510e^{38k}[/tex]
Solving for k:
[tex]\displaystyle \frac{1}{2}=e^{38k}\Rightarrow k=\frac{1}{38}\ln\Big(\frac{1}{2}\Big)[/tex]
Thus, our function is:
[tex]f(t)=510e^{t\ln(.5)/38}[/tex]
Then after one year or 365 days, the amount remaining will be about:
[tex]f(365)=510e^{365\ln(.5)/38}\approx 0.6548[/tex]
what is 1.0×10 to the power of 14 in scientific notation
Answer: 100,000,000,000,000
Step-by-step explanation:
1.0 x 10^14
since the exponent is positive that means we move the decimal to the right 14 times and you should get 100000000000000.0
At midnight, the temperature in a city was 5 degrees Celsius. The temperature was dropping at a steady rate of 2 degrees Celsius per hour.
Write an inequality that represents t, the number of hours past midnight, when the temperature was colder than -4 degrees Celsius. Explain or show your reasoning.
Show all the values of t that make your inequality true on a number line, like the one shown below.
A number line with the numbers negative 4 through 10, in increments of 2, indicated.
Answer:
(5-2t)<-4
Step-by-step explanation:
The temperature is 5 °C at midnight, and it is dropping at a speed of 2 °C each hour. If it's past midnight, the temperature will be t degrees after t hours ( 5 - 2t ). If the temperature is below - 4 ℃, the inequality can be ( 5-2t ) - 4
What is the constant in the expression 7x + 3
Answer:
3
Step-by-step explanation:
In expressions, there are 4 items to look at :
1. Terms
2. Coefficients
3. Like Terms
4. Constant Terms
Since 4. is the topic at hand, let's focus on that, constant terms are terms that cannot be changed value.
This would mean numbers without a variable, look at the expression below :
7x + 3
Since 3 doesn't have a variable, therefore 3 is a constant term.
A mountain climber climbed down a cliff 10 metres at a time. He did this 5 times in one
day. What was the overall change in his elevation?
-50m
150m
-150m
50m
Answer:
-50 m
Step-by-step explanation:
its negative elevation because he is going down
I WILL GIVE BRAINLIEST!!!! ANSWER QUICK!!!
Which of the following represents the general equation for the geometric sequence?
-1, -2, -4, …
a n = 2 n - 1
a n = -1 · 2 n - 1
a n = 1 · 2 n + 1
a n = 1 · 2 n - 1
Answer:
-1,-2,-4
an = a1 * r^(n - 1)
a1 = first term = -1
r = common ratio = 2
so the equation would be : an = -1 * 2^(n - 1)
Without graphing, find the slope of the line that goes through (2, -1) and (6, 1). *
Answer:
m=1/2
Step-by-step explanation:
By counting, the y-value goes up 2 and the x-value goes up 4. This gives you 2/4, which simplifies to 1/2
Please be specific:(
How do you divide an equation like 3/4? And how do you convert a fraction into a decimal? 10 points and brainiest to whoever is more specific.
Step-by-step explanation:
You can perform a long divison.
4 / 3 \ 0.75
0
----
30
28
----
20
20
----
0
A cashier can ring up 12 items per minute. How long will it take the cashier to ring up 72 items?
Answer:
So it will take 6 minutes to ring up 72 items.
Step-by-step explanation:
Well this seems pretty simple just have to reads the question and know what to find.
So what we know :
A cashier can ring up 12 items per minute
So :
1 minute = 12 Minutes
And we have to find :
How long for 72 items
So since we know he can do 12 in a minute and it is asking how many minutes it will take for 72 we can divide.
So :
72 / 12
=
6
So it will take 6 minutes to ring up 72 items.
I hope this helps!
If you have any questions or concerns feel free to message me or comment. :)
In city W, the average cost for a gym membership is given by the equation y = 34.99x +49, where y is the total cost, in dollars, for x months of membership. What is the meaning of the y-value when x = 1? *
Riley ordered a snow cone with 4 flavors.
Caleb ordered him with 2 flavors.
How many fewer flavors did Caleb order?
what is 7 divided by 10 as a fraction
The fractional form is 7/10.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
We have to divide 7 by 10.
The common factor for 7 and 10
7 = 7 x 1
and, 10= 2 x 5 x 1
so, there is only one factor common is 1.
Thus, the fraction is 7/10.
Learn more about Equivalent Fraction here:
https://brainly.com/question/29766013
#SPJ2
A store owner notes that 1 out of 4 customers do not make a purchase. How many customers need to come into the store in order for the owner to make 85 sales?
Answer:
340 customers.
Step-by-step explanation:
1 out of 4 = 25% purchase rate
85 × 4 = 340
To check our work:
25% of 340 = 0.25 × 340 = 85
hi please help i’ll give brainliest if you give a correct answer please show your reasoning
Answer:
0.088
22x4 is 88 and add the 2 zeros
Step-by-step explanation:
Answer:
0.088.
Step-by-step explanation:
0.22 * 0.4
Now 22 * 4 = 88 and
there are 3 numbers after the decimal points in 0.22 and 0.4 so there has to be 3 numbers after the decimal point in the answer, so it's:
0.088.
2 1/6 x 4 1/2 Solve the problem AND explain your steps
WORTH 58 POINTS HELP MEE PLEASE
Answer:
4:1
sorry if i'm wrong
Answer:
Step-by-step explanation:
54 ÷6= 9
the first one is 5:1
then take away 9
45- 9 = 36
36:9 = 4:1
1,275÷588 rounded pls i need some help
1.
Which relationship shows y as a function of x?
A. {(-3, 8), (-8, -1), (5, -7), (-8, -8)
B. {(3,-2), (-3, 7), (-7, 0), (1, 2)}
C. {(0, 3), (9, -8), (0, 8), (-6, -5)}
D. {(1, 0), (1, 5), (-4, 5), (-8, 0)}
I NEED HELP
Use the compound interest formula A=P(1+rn)nt.
If $10,000 is invested at 2 percent semi-annually for 5 years, what is the amount at the end of the term?
$11,052
$11,051
$11,049
$11,046
Answer:
A
Step-by-step explanation:
Answer:
D: 11,046
Step-by-step explanation: i took the quiz
can you help me please
Answer:
25/6
Step-by-step explanation:
Asphere has radius of 3 cm. What is the volume of the sphere?
Answer:
radius =3cm
volume of the sphere =4/3 πr^3
=4/3*22/7*3*3*3=88/7*3*3=88/7*9=792/7
=113.1cm^3
Which situations can be represented by an exponential function?
Select each correct answer.
The value of a vehicle decreases by 11% each year.
In a structure made of bricks, each row has 10 more bricks than the previous row.
A dentist's office accepts 15 new patients each month.
Every year, the number of online video subscriptions increases by 3 times what is was the previous year.
Answer:
The answer is IC and D I just finished the text
Step-by-step explanation:
40000+10000n= how do i find the answer
Answer:
50000. easy
Step-by-step explanation:
Answer:
50000
Step-by-step explanation:
I need to know what the difference of this expression is.
(4 - 5i) - (12 + 11i)
Answer: -10-16i
Step-by-step explanation:
Given
(4-5i)-(12+11i)
Expand parenthesis
2-5i-12-11i
Put like terms together
(2-12)-(5i+11i)
Combine like terms
-10-16i
Hope this helps!! :)
Please let me know if you have any questions
Heya, could someone help me figure this out? I'm kinda stuck on this question :p
Answer:
-0.5Step-by-step explanation:
to understand thisyou need to know about:algebraPEMDASgiven:v=u+atu=2a=-5t=½let's solve:substitute the given values : v=2+(-5)×½v=2+(-2.5)v=-0.5Jack has a rectangle garden that measures 4 feet wide by 3 feet long he wants to increase the area to 56 feet
Answer:
then you would have as length or width 8 by 7 feet, or any other factors of 56 as the width or length. Since you want to increase the area.
A car dealership pays $8,550 for a car. They markup the price by 20.4% to get the retail price. What is the retail price of the car at this dealership?
Answer:
$10294.20
Step-by-step explanation:
8550 increase 20.4% =
8550 × (1 + 20.4%) = 8550 × (1 + 0.204) = 10294.2
After eating at the restaurant, Benny, Dan, and Mike decided to divide the bill evenly. If each person paid 47 dollars, what was the total of the bill ? What equation should be used? (write the equation followed by the answer)
Plot the graph with equation y = x^2 + 3x - 1
Write 36 as a product of its prime factors.
Answer:
2 × 2 × 3 × 3 × 3