Answers
Answer:
A. shifted 4 units left and 3 units up.
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
helpp
What is the exact value of sin( – 57) ?
Answers
Answer:
c
Step-by-step explanation:
Answer:
The result can be shown in multiple forms.
Exact Form:
sin
(57)
Decimal Form:
0.83867056...
Step-by-step explanation:
Just simply convert the decimal into a fraction and that should be your answer.
Anyone good with comps it’s figures?
Answers
Answer:
answer: 379.2
Hope this helps!
Answer:
can u make it clearer
Step-by-step explanation:
Find the value of X. show your work (geometry)
Answers
Answer:
x = -6
Step-by-step explanation:
x + 121 = 115
subtract
x = -6
Answer:
x=-6
Step-by-step explanation:
the 115° angle and (x+121)° angle are alternate exterior angles, meaning that since lines are parallel, these angles are congruent
to find x:
x+121=115
x=-6
8
Angle has 12 feet of string. She will cut the string into equal lengths of 5 inches each. How
much string will be left after she cuts as many of these lengths as possible?
F 0.8 in
G 2 in.
H4 in.
3
1.25 in.
Answers
Find the area of a rectangle with side lengths 5/8 ft and 1/3 ft. Use the drawing to help you solve the problem. **Square with side as 1 feet is divided into 24 equal rectangles.**
Answers
Answer:
5/24 ft²
Step-by-step explanation:
A = bh
A = 5/8 * 1/3
A = 5/24 ft²
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
Select ALL the correct answers.
Christy rented a banquet hall for her company party. There was a non-refundable deposit of $300 to reserve the space and an $85 fee for decorations. The banquet hall charged $27 per person for food. Their total bill was $2,653 for b employees.
Choose an equation that represents the total cost of the company party. Then, choose the number of employees that attended the party.
412b = 2,653
112 employees
7 employees
27b - 385 = 2,653
27b + 385 = 2,653
84 employees
Answers
Answer:
"A"
Step by step:
heart it if it works lol
What is the missing constant term in the perfect square that starts with x^2-16xx
2
−16xx, squared, minus, 16, x ?
Answers
Answer:
64
Step-by-step explanation:
how many times does 10 go into 2000
Answers
2000/10=200
The answer is 200 times
(k-2)^2=9 solve the equation
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
NO FILES, ONLY CORRECT ANSWER! WILL GIVE BRAINLY IF CORRECT. WILL REPORT IF YOU ANSWER WITH FILE ..
Given the sequence of numbers, a4=13, a5=16, a6=19, a7=22, and a8=25.
Which recursive rule can be used to find the nth term of the sequence, an?
a1=13; an=an−1+3
a1=4; an=an−1−3
a1=4; an=an−1+3
a1=13; an=3an−1
Answers
Answer:
a1=4; an=an−1+3
Step-by-step explanation:
I´m Pretty Sure......
What is the end behavior? (select 2)
Ignore: need to be 20 characters or more
Answers
Answer:
The correct end behavior are;
As x approaches positive infinity, y approaches positive infinity (D)
As x approaches negative infinity, y approaches positive infinity (B)
Step-by-step explanation:
Here, we want to get the end behavior of the graph
Kindly note that the upward arrow represents a movement toward infinity
Thus, we have it as follows;
As the value of x increases (towards the right); the value of y tends toward positive infinity
secondly: as the value of x decreases, tends toward the left, the value of y also tends toward positive infinity
Find the angle of the sector given the radius and the length of the arc.
Radius = 11 ft
Arc length is 5.8 ft
Answers
Answer: 30 degrees
Step-by-step explanation:
You have a picture that is 4 inches wide by 6 inches long. You want to reduce it in size to fit a frame that is 1.5 inches wide. How long will the reduced photo be?
Answers
Answer:
2.25
Step-by-step explanation:
A picture is 4 inches 6 inches long
The length at which it would be reduced to can be calculated as follows
6/x= 4/1.5
Cross multiply
4x= 9
x= 9/4
= 2.25
Hence the length would be reduced by 2.25
HELP PLS‼️‼️‼️‼️‼️‼️‼️‼️
Answers
Answer:
64 sq cm
Step-by-step explanation:
divide the shape into a 6x8 rectangle and a 4 x 8 triangle
6x8=48
.5x4x8=16
48+16=64
I will give u a crown no links will be reported edge2021
Answers
Answer:
(2/3, 1/5)
Step-by-step explanation:
x=2/3, y=1/5
Answer:
(2/3, 1/5)
Step-by-step explanation:
x=2/3, y=1/5
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:
Ethan has packed 6 shirts, 4 pairs of pants and 2 pairs of shoes for vacation. How many possible outfit combinations does Ethan have for his trip?
4
48
12
6
Answers
Answer:
Ethan can make 48 possible combinations.
Step-by-step explanation:
Given that Ethan has packed 6 shirts, 4 pairs of pants and 2 pairs of shoes for vacation, to determine how many possible outfit combinations does Ethan have for his trip the following calculation must be performed:
Shirts x pants x shoes = Number of combinations
6 x 4 x 2 = X
24 x 2 = X
48 = X
Therefore, Ethan can make 48 possible combinations.
Answer:
48
Step-by-step explanation:
I took the test and got it right
Look at Picture please
Answers
Answer:
D
Step-by-step explanation:
4(3+5)-3×9^212+20-3×9^212+20-3×8112+20-24332-243-211how do I get rid of the parenthesis in a problem
Answers
Answer:
you solve what is inside the parenthesis first to get rid of it, then its almost like you got rid of it.
Answer:
Parentheses can be removed by multiplying the outside factor to each term inside the parentheses, which is called the distributive property.
Step-by-step explanation:
Here is an example
6 ( 3 + w )
6 ( 3 ) + 6 ( w )
18 + 6 w
Use the Zero Product Property to solve the equation (x – 5)(x + 4) = –14.
Answers
Answer:
x = 3 or x = -2
Step-by-step explanation:
(x - 5)(x + 4) = [tex]x^{2} - x - 20[/tex] = -14
[tex]x^{2} - x -6 = 0[/tex]
(x - 3)(x + 2) = 0
x = 3 or x = -2
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)
VENN DIAGRAM
pls help im really confused
Answers
Answer: hmmm i wish i can help
Step-by-step explanation:
Find the 8th term of the geometric sequence 10, -40, 160, ..
Answers
Answer:
kkkk74
Step-by-step explanation:
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
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
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
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