Answers
Answer:
12
Step-by-step explanation:
Related Questions
Radioactive technetium-99m is often used in diagnostic medicine because it has relatively short half-life but lasts long enough to get the needed testing done on the patient. If its half-life is 6 hours, how much of the radioactive material from a 2.5ml injection will be in the body in 30 hours? Write your answer rounded to nearest hundredth.
Answers
Using an exponential function, it is found that 0.08 ml of the will be in the body in 30 hours.
The amount of a decaying substance is modeled by an exponential function in the following format:
[tex]A(t) = A(0)e^{-kt}[/tex]
In which:
A(0) is the initial amount.k is the decay rate, as a decimal.In this problem, the half-life is 6 hours, which means that [tex]A(6) = 0.5A(0)[/tex], and this is used to find k.
[tex]A(t) = A(0)e^{-kt}[/tex]
[tex]0.5A(0) = A(0)e^{-6k}[/tex]
[tex]e^{-6k} = 0.5[/tex]
[tex]\ln{e^{-6k}} = \ln{0.5}[/tex]
[tex]-6k = \ln{0.5}[/tex]
[tex]k = -\frac{\ln{0.5}}{6}[/tex]
[tex]k = 0.11552453009[/tex]
Hence:
[tex]A(t) = A(0)e^{-0.11552453009t}[/tex]
2.5 ml injection, hence [tex]A(0) = 2.5[/tex]
After 30 hours, we have to find A(30), hence:
[tex]A(t) = 2.5e^{-0.11552453009t}[/tex]
[tex]A(30) = 2.5e^{-0.11552453009(30)}[/tex]
[tex]A(30) = 0.08[/tex]
0.08 ml of the will be in the body in 30 hours.
A similar problem is given at https://brainly.com/question/16984805
Sydney currently earns 11.50 an hour working part time. What is the minimum increase per hour she needs to at least match the average annual rate of inflation at three percent
Answers
Answer:
The salary of Sydney to meet the loss due to inflation should be 11.85 per hour
Step-by-step explanation:
The inflation rate is 3%
This means that the alary amount will reduce by 3%.
3% of Sydney's hourly salary is
[tex]\frac{3}{100} *11.50[/tex] = 0.345
Hence, the new salary must increase by 0.345 dollar per hour
The salary of Sydney to meet the loss due to inflation should be 11.50 + 0.345 = 11.845 or 11.85
Find the measure of the exterior angle.
Answers
[tex] \huge{ \mathfrak{ Answer }}[/tex]
Exterior angle = sum of opposite interior angles,
so,
[tex] \boxed{(t + 10 )+( t )= 180-(t + 20)}[/tex]
[tex]2t + 10 = 180 - t - 20[/tex][tex]2t + t = 160 - 10[/tex][tex]3t = 150[/tex][tex]t = 50[/tex]value of t = 50°
[tex] \boxed{Exterior \: \: angle = 180 -(t + 20)}[/tex]
[tex]180 - (50 + 20)[/tex][tex]180 - 70[/tex][tex]110°[/tex]measure of exterior angle is 110°
[tex] \normalsize{ \#TeeNForeveR}[/tex]
1. Valerie's monthly income is $300 and her monthly expenses are $250. How much money
could Valerie save in the next eight months without changing her income or expenses?
Answers
Answer:
$400
Step-by-step explanation:
A rectangle 9cm long is equal on area to a square which has a perimeter of 24cm. find the width of the rectangle
Answers
Answer:
the width is 64cm
Step-by-step explanation:
24 x 24 = 576
576 ÷ 9 = 64
A person places $757 in an investment account earning an annual rate of 8.2%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 20 years.
Answers
Answer: 3902.4633
Step-by-step explanation: 3902.46 from deltamath
Is d = -4 a solution to the equation 3(d + 12) = 8 - 4d ?
Answers
3(d+12) =8
Distribute the 3.
3d+36=8
Subtract the 36.
3d = -28
Divide by 3 to isolate d.
d = -28/3 or 9.33
Which would NOT be included on an income statement for the Best Brand Company? A. Projected Profit b. Net Sales c. Cost of Goods d. Operating Expenses Please select the best answer from the choices provided A B C D
Answers
Answer:
Option A
Step-by-step explanation:
The income statement comprises of income made in a given year.
It never gives details of the target income or the income projected.
Hence, projected profit will not be included in the income statement. Rest all other options i,e Net Sales c. Cost of Goods d. Operating Expenses are the actual income and expenditure components that are included in a income statement
Option A is correct
Answer:A
Step-by-step explanation:I just took the test
Write an equation of the line that contains the given points.
(-1,9), (0, -8)
Answers
Answer:
y = -17x + 10
Step-by-step explanation:
to find slope use m= y2-y1/x2-x1
m= -8-9/0-(-1)
m= -17/1
m=-17
then use point slope formula (y-y1) =m(x-x1)
(y-9) = -17(x-(-1))
simplify
y-9 = -17x + 1
turn into slope intercept form
y = -17x + 10
Please help fast if appreciate it
Answers
Answer:
In 30 days the rainfall level will be 30 × (2.3 +- 0.05 mm) or 69.0 +- 1.5 mm
The starting salary for delivery driver is 35,000 per year with a yearly increase of 3% which type of function best models this situation
Answers
Answer:
Option B
Step-by-step explanation:
The complete question is
The starting salary for a delivery driver is $35,000 per year with a yearly increase of 3%. which type of function best models this situation? a) exponential b) linear c) quadratic d) radical
Solution
After 1 year the salary of delivery boy will be
[tex]35000 + 35000*0.03\\35000+1050\\36050[/tex]
Salary of delivery boy after 2nd year =
[tex]36050 + 36050*0.3 = 37131.5[/tex]
Salary after 3rd year
[tex]37131.5 + (37131.5*0.03) = 38245.45[/tex]
The growth in salary is linear as depicted from the values obtained.
Hence, option B is correct
Need answer ASAP, don't need explanation. Find the area of the shaded region. Those are the four options.
Answers
Answer:
All you have to do is multiply 14 by 8.
14 x 8 = 112
Step-by-step explanation:
Find the Value of x.
Answers
I forgot how to solve multistep equations. Let me explain, I forgot how to solve the equations that are like x + 36 = 4x, I don't understand it, Help?
Answers
how many times does 10 go into 2000
Answers
2000/10=200
The answer is 200 times
You Have Tiangle XYZ with X(-7,-9), Y(-10,-3), and Z(-1,-9) After a 90 Degree Counterclockwise rotation, what is the new coordinate of Z'?
Answers
Answer:
Z'(9, - 1)
Step-by-step explanation:
For a 90 degree counterclockwise rotation about the origin,
The original coordinates of point P (x,y) will now be positioned as P' (-y,x).
Hence, given :
Triangle XYZ with X(-7,-9), Y(-10,-3), and Z(-1,-9)
The new position of Z denoted as Z' will be :
Z(-1, - 9) ; X = - 1 ; y = - 9
-y = - - 9 = 9
x = - 1 will remain as - 1
Z(-1, - 9) - - - > Z'(9, - 1)
Please help me!!!! The problem is down below.
Answers
Answer:
3:2
Step-by-step explanation:
lisa has 36 stickers, and john has 24, making the ratio 36:24, since they are both devisable by 12, you would get 3:2
Answer:
3:2
Step-by-step explanation:
Hiooo! I need help could someone help please❤️ :D
Answers
Answer:
The answer is D, sqrt(41)in.
Step-by-step explanation:
The question is asking about the hypotenuse L. You can get that by using the Pythagorean Theorem( a^2+B^2=C^2). You can get the bottom length of the triangle by dividing 8 by 2, because the triangle is made from the top point of the pyramid. You can there do 5^2+4^2, which is 41. You then need to take the square root of that, or [tex]\sqrt{41}[/tex].
Answer:
Hello! Your answer would be, D) [tex]\sqrt{41} in.[/tex]
Step-by-step explanation:
Hope I helped! Ask me anything if you have questions! Brainiest plz. Hope You make a 100%! Have a nice day! -Amelia♥
KHAN ACADEMY..... AGAIN..
Answers
Answer:
x = 12
Step-by-step explanation:
10x+24 = 6x+72
10x - 6x = 72 - 24
4x = 48
x = 12
Answer:
144
Step-by-step explanation:
10x+24=6x+72
-6x -6x
4x+24=72
-24 -24
4x=48
/4 /4
x=12
<A=10(12)+24
<A=120+24
<A=144
The length of a planet's orbit around a star is approximately 16,340,000 km. It takes the planet about 810 Earth days to complete a full orbit. What is the planet's average speed in kmh-1 to 3sf? HELP
Answers
Answer:
841 kmh-1
Step-by-step explanation:
speed = distance / time
time = 810 x 24 = 19440
16,340,000 km / 19440 = 840.535
HRLPPPPP IM FAILING MATHH
Answers
B=50.27 cm
V=371.97
Directions: Find the odds and the probability of the event(s) occuring.
You roll a fair six-sided die twice. The
first roll shows a one and the second roll
shows a two.
Plone and then two) =
Odds =
Answers
Answer:
1/36
Step-by-step explanation:
help please :) show work?! NO LINKS BRO
Answers
9. 45.5 cm cubed
H(x)= ⎩ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎧ 8+6x x+4 10 4x−3 , , , x<−7 −7≤x<−5 x≥−5
Answers
Answer:
[tex]h(-6) = -\frac{1}{5}[/tex]
Step-by-step explanation:
Given
[tex]h(x) =\left[\begin{array}{cc}8 + 6x\ \ &x < -7\\\frac{x + 4}{10} &-7 \le x <-5 \\4x - 3\ &x \ge -5\end{array}\right[/tex]
Required
Determine h(-6)
To do this, we make use of:
[tex]h(x) = \frac{x + 4}{10}[/tex]
Because [tex]-7 \le -6 <-5[/tex]
So, we have:
[tex]h(x) = \frac{x + 4}{10}[/tex]
[tex]h(-6) = \frac{-6 + 4}{10}[/tex]
[tex]h(-6) = \frac{-2}{10}[/tex]
Simplify
[tex]h(-6) = -\frac{1}{5}[/tex]
What is the equation for -19 = b - 6
Answers
Answer:-13=b, b=-13
Step-by-step explanation: Move -6 to the other side, which turns it to positive. Now you subtract -19+6=-13
Answer:
[tex]b=-13[/tex]
Step-by-step explanation:
[tex]-19 = b - 6[/tex]
Switch sides
[tex]b-6=-19[/tex]
Add 6 to both sides
[tex]b-6+6=-19+6[/tex]
Simplify
[tex]b=-13[/tex]
Help me and show work plz <3
Answers
Identify any outliers of the data set. Then determine the effect that the outlier has on the mean.
375, 350, 400, 375, 375, 425, 350, 125, 400
I swear I get so confused with these-
Answers
Answer:
125 is an outlier
125 changes the mean by 23 points (from 375 to 352)
Step-by-step explanation:
an outlier is 1.5 times the IQR
the InterQuartile Range of this set of data is 400-350 or 50
50 x 1.5 = 75
the only data value that is 75 points from the IQR is 125
Use the system of two linear equations to answer the question. 2x+5y=4 y=2x+8 Which of the following statements is correct about the solution of the system? A The x-coordinate is 2. B The x-coordinate is -3. C The y-coordinate is -3. D The y-coordinate is 5.
Answers
2x + 10x + 40 = 4
12x = -36
x= -3
So it’s B
Can someone please help me? I don't understand how to do this. I need to multiply this polynomial 3(X-2)^4. Also, the ^4 means the power of 4, or exponent 4.
Answers
Answer:
do you need a graph of it or it just multiplied out step by step?
Answer:
3x^4-24x^3+72x^2-96x+48
Step-by-step explanation:
1. (x-2)^4
=(x-2)(x-2)(x-2)(x-2)
=x^4-8x^3+24x^2-32x+16
2. 3(x^4-8x^3+24x^2-32x+16)
=3x^4-24x^3+72x^2-96x+48
Cate and Elena were playing a card game. The stack of cards in the middle had 27 cards in it to begin with.
Cate added 7 cards to the stack. Elena then took 10 cards from the stack. Finally, Cate took 6 cards from
the stack. How many cards were left in the stack?
There were
cards left in the stack.
Answers
Answer:
18
Step-by-step explanation:
You would have 27 then add 7 subtract 10 and subtract 6 to get 18.