Answer:
k = 0.086
Step-by-step explanation:
We have the equation
y=ne^(-kt)
where y is the amount of radioactive material after t hours, n is the initial amount of radioactive material, and k is some constant.
We know the following data:
t: 8 hoursy = n/2 (half of a radioactive element remains)Replacing into the equation and solving for k:
[tex]y=ne^{-kt}[/tex]
[tex]\frac{n}{2}=ne^{-k8}[/tex]
[tex]0.5=e^{-k8}[/tex]
[tex]ln(0.5)=ln(e^{-k8})[/tex]
[tex]ln(0.5)=-k8ln(e)[/tex]
[tex]\frac{ln(0.5)}{-8}=k[/tex]
[tex]\frac{ln(0.5)}{-8}=k[/tex]
[tex]k = 0.086[/tex]
Rick is deciding what to wear to school. He has two different shirts, two different pants and two different pairs of shoes to choose from. How many different outfit combinations does he have to choose from?
Answer:
a total of 8 outfits
Step-by-step explanation:
shoes: L1, L2
shirts: S1, S2
pants: P1, P2
1: S1, P1, L1
2: S1, P1, L2
3: S1, P2, L1
4: S1, P2, L2
5: S2, P1, L1
6: S2, P1, L2
7: S2, P2, L1
8: S2, P2, L2
I hope that makes sense, since I couldnt figure out how to show the diagram.
Which equation represents h(x)?
Answer: The second choice: h(x) = (f(x))(g(x))
Step-by-step explanation:
f(x) = -15
g(x) = 15
h(x) = -225
-15 * 15 = -225
Therefore, h(x) is the distribution of f(x) and g(x).
Jayne polled 50 students about their preferred after-school sport and then recorded the data in the table below. Which sport is more popular?
A. You can use a relative frequency table to examine how data sets are related by comparing percentages.
B. Row and column relative frequency tables tell you the same information as total relative frequency tables.
C. A column relative frequency table helps compare data in two different rows.
D. In a column two-way relative frequency table, each column totals 100%.
Step-by-step explanation:
D. In a column two-way relative frequency table, each column totals 100%.
Express the recurring decimal 0.1555555555... as a fraction give answer in its simplest form
in it's simplest form it's 0.1555555555
Determine which equation below can be solved to find the value of Angle
A. *
Answer:
i believe the correct answer is x+90+63=180
Step-by-step explanation:
Answer:
x + 90 + 63 = 180
Step-by-step explanation:
We do not have the value for angle B so we have to assume that B plus the 45 is 90. using this info we can see that A + 90 + 63 is equal to the line, which is 180(as all lines are). We can then get the equation x + 90 + 63 = 180
Your mom bought a new couch on sale for $840. If the sale was 30%, what was the Original Price?
Answer:
1200$
Step-by-step explanation:
(840/(100-30))*100
(840/70)*100
12*100
1200
Find the value of n.
n = -1.-7
Answer:
n = 7
Step-by-step explanation:
n = (-1) x (-7)
Simplify:
When two minus signs appear in the product of two numbers, you can cancel them out.
Therefore:
n = (1) x (7) = 7
Hope this helps!
:)
Which of the following questions describes the equation 4n = -24?
What number, when multiplied by -24, equals 4?
What number, when divided by 4, equals -24?
What number, when multiplied by 4, equals -24?
What number, when divided by -24, equals 4?
What is the solution to the system of equations below?
2x + 3y = 6
x - 3y = 9
Step-by-step explanation:
2x + 3y = 6 3x = 15 5 - 3y = 9
x - 3y = 9 x = 15/3 = 5 y = 9 - 5/-3 = -4/3
3x = 15
Find the vertex of the parabola.
f(x) = 5x2 - 30x +49
a. (3,0)
b. (3,4)
C. (4,0)
d. (4,3)
Answer:
B.
Step-by-step explanation:
because the vertex of parabola is f(x)
2 Points
The table shows the number of weeks of vacation employees receive each
year, based on the number of years they have been employed. What does
(15) = 5 mean in terms of the problem?
Years of
Service
Weeks of
Vacation
1
2.
1
2
5
10
15
20
30
3
4
5
6
8
O A. There are 5 workers who have 15 years of service each
OB. A worker took 5 weeks of vacation in 15 years.
O C. A worker with 15 years of service gets 5 weeks of vacation each
year
OD. A worker with 5 years of service gets 15 weeks of vacation each
year
SUBMIT
The answer to your question is 3
i need help please !
Answer:
A. Yes, because it passes the vertical line test.
Step-by-step explanation:
The vertical line test requires you to draw a vertical line through any part of the graph. If the line intersects the graph at only one point, the graph represents a function. This graph passes that test. As for the other answer choices, the "horizontal line test" is not a way to see if a graph represents a function. I hope this helps :))
Answer:
A. Yes, because it passes the vertical line test.
Step-by-step explanation:
The vertical line test states that you can draw a line parallel to the y-axis for any chosen value of x. If the vertical line you drew intersects the graph more than once for any value of x then the graph is not the graph of a function. In this case, the line doesn't intersect the graph more than once.
Pleaseeeeee HELP!!! ASAP
Answer:
I think its D
what is 2 with an exponent of negative 2 equal to?
Answer:
So since we have 2^-2 We can do 1/2^2 = 0.25
So if you have y^-x = 1/y^x
Answer:
1/4
Step-by-step explanation:
negative exponent rule says a ⁻ⁿ = 1/ aⁿ so:
2⁻² =1/2² = 1/4
Your fixed expenses are $1,035.65/month and are 36% of your
realized income. Use proportions to compute the realized
income on your budget.
/month
Answer:
Your realized income is an estamated $2876.81 per month
Step-by-step explanation:
36% can be translated to decimal form as 0.36, when multiplying 2876.81 times 0.36 you get 1035.65, making your estimated Total monthly income $2876.81
each ice cream cone cost $100. Students get 5 1/2 and seniors get 7 1/2. how much more does seniors get?
Answer:
2
Step-by-step explanation:
7 1/2 - 5 1/2
7.5 - 5.5
2
GIVING BRAINLIEST EASY QUESTION!!!!!!!!!!!!!!
The coordinate grid shows three points P, Q, and R:
A four-quadrant coordinate grid from negative 10 to positive 10 in increments of 2 is drawn. Point P is plotted on the ordered pair negative 2, negative 8. Point Q is plotted on the ordered pair negative 4, negative 2. Point R is plotted on the ordered pair 8, negative 2.
The distance between Q and R is ______ units.
Answer:
The answer is 10! :)
(Just realized this was posted in 2020, but whatever)
Can you guys help and put these in order?
Events A and B are overlapping.
P(A) = 4/11; P(B) = 3/11, P(A and B) =2/11 .
Find P(A or B).
Answer:
5/11
Step-by-step explanation:
Since the events are overlapping...
P(A or B) = P(A) + P(B) - P(A and B)
P(A) = 4/11
P(B) = 3/11
P(A and B) = 2/11
P(A or B) = 4/11 + 3/11 - 2/11
P(A or B) = 5/11
Answer:
5/11
Step-by-step explanation:
^ this week, The sparkling water was 4 for $5 , the regular was $1.69
The numerical coefficient in "6m" is:
The numeral coefficient is the number ( the one that we know)- so its 6
What is 25% of $4007
Answer:
$1001.75
Step-by-step explanation:
Do 4007 x 0. 25 on a calculator
What is the value of the expression?
Negative 16 + 12
Answer:
-4
Step-by-step explanation:
-16 + 12
When the signs are different we subtract the smaller from the larger and take the sign of the larger
16-12 = 4
The larger number has a sign of negative
-4
Answer:
b
Step-by-step explanation:
ur mom
PLEASE JUST GIVE ME THE VOLUME! THE AREA OF THE SECTION IS 546! PLEASE ANSWER ASAP!!!!!!!
Answer:
3360
Step-by-step explanation:
By the Pythagorean Theorem, you know that:
[tex]C_1B_1=\sqrt{29^2-20^2}=\sqrt{841-400}=\sqrt{441}=21[/tex]
This means that the area of the triangular base is [tex]\dfrac{21\cdot 20}{2}=210[/tex]. Multiplying this by the height of the pyramid and dividing by 3, you get a volume of 3360. Hope this helps!
circumference in terms of pi does anyone know this?
Answer:
15 pi
Step-by-step explanation:
Answer:
15π cm
Step-by-step explanation:
The circumference of a circle can be found using the following formula:
c= d* π
We know that the diameter of the circle is 15 centimeters. Therefore, we can substitute 15 cm in for d
c= 15 cm * π
Since we are told to find the circumference in terms of pi, the answer is left as:
c= 15*π cm
c= 15π cm
Harry bought a sweater that only cost $5 when it normally costs $35. What percent was the discount? Provide an explanation. A. 16.7% B. 14.3% C. 30.0% D. 85.7%
Answer:
D. 85.7%
Step-by-step explanation:
its figuring out the percentage decrease
so you would go
35-5= 30
30/35 x 100 = 85.7
Answer:
Step-by-step explanation:
Discount = 35 - 5 = 30
Percentage of discount = (30/35) * 100
= 85.7 %
The function g is defined by g(x) =
x + 5
4x + 3
Find g (5a)
What is the median of the data
represented in the box plot below?
25
35
45
55
Answer:
40
Step-by-step explanation:
-To find the median with an odd set of numbers
put the numbers in chronological orderfind the number in the middle and that is your answer-To find the median with a even set of numbers
put the numbers in chronological orderfind the average of two numbers in the middle (to do so:add the 2 numbers in the middledivide that number by 2and that's your answerA baker is making bread rolls. He divides his dough into 8 equal pieces. He then cuts each one of these pieces into three, each of which is a single bread roll. He sells the rolls in bags of 4. original dough is in one bag of rolls give your answer in its simplest form
Answer:
6 bags
Step-by-step explanation:
8x3=24
24/4=6
Solve for x: x + 18 = -37 A. x = -55 B. x = -18 C. x = -19 D. x = 14
Answer:
A. x= -55
Step-by-step explanation:
got it
