Answer: 1/250
Step-by-step explanation:
Given the recurring decimal : 0.004
Firstly:
Let x = 0.004 - - - (1)
Due to the number of decimals places and value of x;
We multiply (1) by 1000 to obtain an integer
Multiply (1) by 1000
1000x = 4 - - - (2)
From (2) we can solve for x and leave our answer as a fraction.
Divide (2) by 1000 to obtain the value of x
1000x / 1000 = 4 / 1000
x = 1 / 250
Recall x = 0.004
Therefore, x = 0.004 = 1/250
A doctor prescribes 500 milligrams of a therapeutic drug that decays by about 19% each hour.
a) To the nearest minute, what is the half-life of the drug?
b)
Write an exponential model representing the amount of the drug remaining in the patient's
system after t hours. (2 points)
c)
Use your formula to find the amount of drug that would remain in the patient's system after 24
hours. Round your answer to the nearest hundredth of a gram. (2 points)
Answer:
a) half life is 3h 17 minutes
b) function of residue drug after t hours with initial quantity = 500 mg
f(t) = 500 (0.81^t)
c) drug left in patient's system after 24 hours
= 0.00 grams (to the hundredth of a gram.
Step-by-step explanation:
Given:
Drug initial active weight, A = 500 mg
Residue active weight, f(t) = A 0.81^t
t = time in hours.
a) half life
Half life is T, such that f(T) = 0.5A =>
0.5A = A(0.81^t)
0.81^t = 0.5
t*log(0.81) = log(0.5)
t = log(0.5) / log(0.81) = -0.6931 / -0.2107 = 3.2894 hours
= 3 h 17.36 minutes
b) Equation of function of residue drug as a function of time t in hours
A=500 mg
f(t) = A(0.81^t) substitute A = 500 mg
= 500(0.81^t) mg
c) weight of residue drug after 24 hours to the hundredth of a gram.
t=24 hours
A=500
f(t) = 500(0.81^t) substitute t=24 hours
= 500(0.81^24)
= 3.181 mg
= 0.003181 g
helllp me im am not smart
Answer:
last one
Step-by-step explanation:
"no more than" indicates that we need to use the sign ≤, which eliminates the first and third options. The expression we can use to calculate her cost is 2s + 5 so the answer is 2s + 5 ≤ 40.
Answer:
the 4th one, 2s + 5 ≤ 40
Step-by-step explanation:
Which of the following applies the law of cosines correctly and could be solved to find m∠E? ANSWERS: A) cos E = 312 + 392 – 2(31)(39) B) C) 562 = 392 – 2(39) ⋅ cos E D) 562 = 312 + 392 – 2(31)(39) ⋅ cos E
This question is incomplete because the options were not properly written.
Complete Question
Which of the following applies the law of cosines correctly and could be solved to find m∠E? ANSWERS:
A) cos E = 31²+ 39² – 2(31)(39)
C) 56² = 39² – 2(39) ⋅ cos E
D) 56² = 31² + 39² – 2(31)(39) ⋅ cos E
Answer:
D) 56² = 31² + 39² – 2(31)(39) ⋅ cos E
Step-by-step explanation:
From the above diagram, we see are told to apply the law of cosines to solve for m∠E i.e Angle E
The formula for the Law of Cosines is given as:
c² = a² + b² − 2ab cos(C)
Because we have sides d , e and f and we are the look for m∠E the law of cosines would be:
e² = d² + f² - 2df cos (E)
e = 56
d = 39
f = 31
56² = 39² + 31² - (2 × 39 × 31) × cos E
Therefore, from the above calculation and step by step calculation, the option that applies the law of cosines correctly and could be solved to find m∠E
Is option D: 56² = 31² + 39² – 2(31)(39) ⋅ cos E
Answer:
[tex]56^2 = 31^2 + 39^2 minus 2(31)(39) cos E[/tex]
Step-by-step explanation:
Hello, I just took the exam got the answer correct
You want to distribute 7 candies to 4 kids. If every kid must receive at least one candy, in how many ways can you do this?
Answer:
15
Step-by-step explanation:
lets begin to set up this question. i personally find questions like these easiest when i begin to set up ideas to help my brain process it better, for example:
person a
person b
person c
person d
we know that each (person) must receive at least 1 candy. we also know that we have 7 candies. therefore if we want do draw this out :
person a- 1
person b- 1
person c- 1
person d -1
notice that we now have given away 4 of the 7 candies. now we have 3 candies left. we can simply:
person a- 2
person b-2
person c-2
person d- 1
but, keep in mind that there are still many more ways that we can distribute the candies to other kids. the question we are asked is how may ways can we do this. since i have already illustrated the question, you can either learn how to put this into an equation, or experiment how many variations there are. the answer, either way is 15.
PLEASE HELP! ILL REWARD BRAINLIEST
Please take a look at this picture. The intersection point is at (2, 0)
If you need help with graphing, you can use the Desmos graphing calculator.
Hope I helped!
Answer: (2,0)
Step-by-step explanation:
Use exact numbers. Complete the equation of the line through ( 2 , 1 ) (2,1)left parenthesis, 2, comma, 1, right parenthesis and ( 5 , − 8 ) (5,−8)left parenthesis, 5, comma, minus, 8, right parenthesis.
Answer:
y = - 3x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 1) and (x₂, y₂ ) = (5, - 8)
m = [tex]\frac{-8-1}{5-2}[/tex] = [tex]\frac{-9}{3}[/tex] = - 3 , thus
y = - 3x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 1) , then
1 = - 6 + c ⇒ c = 1 + 6 = 7
y = - 3x + 7 ← equation of line
Answer:
y - 1 = -3(x - 2)
Step-by-step explanation:
Sounds as though you want the equation of the line through (2, 1) and (5, -8).
As we move from (2, 1) to (5, -8), x (the "run") increases by 3 and y (the "rise") decreases by 9. Thus, the slope of this line is m = rise / run = -9/3, or m = -3.
Let's use the point-slope formula for a straight line here: The point (h, k) is (2, 1) and the slope is -3. Then y - k = m(x - h) becomes:
y - 1 = -3(x - 2)
the amount of fluid that a three dimensional object can hold is called
Answer:
Volume
Step-by-step explanation:
Volume is the space of a three-dimensional object, that can hold an amount of fluid.
Answer:
The answer is the Capacity or volume.
Step-by-step explanation:
This is usually measured in the metric system using a basic unit.
Fill in the blank with a number to make the expression a perfect square.
Answer:
16
Step-by-step explanation:
[tex] {w}^{2} - 8w + { {4}^{2} } \\ = {w}^{2} - 8w + \boxed{ 16} \\= (w-4)^2 [/tex]
Answer:
Step-by-step explanation:
a² + 2ab +b² = (a+ b)²
w² - 8w + _?___
a = w
2ab = -8w
2*w*b = -8w
b = -8w/2w
b = 4
8w = 2 * 4*w
w² - 8w + 4² =w² -8w + 16
can anyone help me with these questions
Answer:
1. 31.14
2. 46
Step-by-step explanation:
1. Using order of operations, we first simplify what's in the parentheses, so we do 4.1-(-6.2), or 4.1+6.2. This gives us -5+3.8(10.3). Next is multiplication, so we do 3.8(10.3), which gets us to -5+39.14. Lastly, we add, to get 31.14.
2. First, we solve in the parentheses. Within the parentheses, we do multiplication first, so we first do 3*-2, to get us 8-4(-6+(-13))÷2. Then, we solve inside the parentheses, so we do -6+(-13), to get 8-4(-19) ÷2.
Next, since multiplication and division are on the same level, we go from left to right, so we do -4*-19 first, to get 8+76÷2. Now we do division, to get 8+38. Lastly, we add, to get 46.
Answer:
9) 34.14
10) 46
Step-by-step explanation:
The box-and-whisker plots below represent the scores for two basketball teams throughout an entire season of games. Which of the two teams had the highest score in a single game?
Answer:
90
Step-by-step explanation:
*One half of two fifths of x.
We can see this by looking at the max value of the bottom box plot. This is the tip of the whisker on the right. This value (115) is larger than the corresponding max for the Gophers (110).
HURRY ASAP PLZZZZ ANYONE???? There are 25 towns in a certain country, and every pair of them is connected by a train route. How many train routes are there?
Answer:
25 train routes
Step-by-step explanation:
The train routes go from 1-2, 2-3, 3-4, 4-5, ,and so on, but there is also one that goes from 25-1. If you notice, there when we get to 4-5, there are 4 train routes which means that if there are 25 towns, then there are 24 train routes, but since 25 and 1 are connected then there are 25 routes. Hope this helps!
Answer:
300
Step-by-step explanation:
25·24/2=300
5. Which model is most appropriate for the data shown in the graph below?
Hey there! :)
Answer:
Exponential.
Step-by-step explanation:
Exponential is the best choice because the graph is increasing geometrically. This means that the parent function of the equation looks like this:
[tex]f(x) = a(b)^{x}[/tex]
The shape of this equation will resemble an curve that has a horizontal asymptote that the graph will not intersect.
We can also narrow down each choice:
a) Quadratic. Incorrect because the graph pictured is not a parabola.
b) Linear. Incorrect because the rate of change is not constant, and the graph is not a straight line.
c) Most probable answer.
d) Incorrect.
Help with this question(will gove thanks and brainlist)(Your suppose to determine the pattern and then fill in the 3 blanks)
Answer:
Step-by-step explanation
1. 8/9, 9/9, 10/9
2. 1/64, 1/128, 1/256
3. -39, -48, -57
Answer
8/9,1,1 1/9
1/64, 1/128, 1/256
Step-by-step explanation:
the second sequence you just add1\9 each time then the other one you just double the denominator.
NEED HELP ASAP!! The dot plot below shows the drawing scores of some students: Which statement best describes the shape of the data? A. It is symmetric and has a peak at 3. B. It is symmetric and has a peak at 5. C. It is not symmetric and has a peak at 3. D. It is not symmetric and has a peak at 5.
Answer:
I believe the answer Is A
Step-by-step explanation:
If its asking for the shape, the peak would be three because it has the most variables in it which is also 3 variables
PLZZZZZZZZZZZ ANSWER QUICK PWEASE
Answer:
z = -9.5
Step-by-step explanation:
Well to get rid of the 2 in the following expression,
[tex]-4.75 = \frac{z}{2}[/tex]
We multiply everything by 2.
-4.75 * 2 = -9.5
z * 2 = 2
-9.5 = z
match the like terms from 6xy to 14xy -3y^2 5x^2 -12x^2 -6 11 4xy^3 8xy^3 15y^2
Help Please I'm Out Of Time ;(
Evaluate 2y² + y² / 3 for x = 1.5 and y = 3.
Show all of your work.
Answer: 6.25 IF my assumption is correct about the missing x!
The Other way around: 4.5 with 2x² + y² / 3
Step-by-step explanation: 2y² + y² / 3 assuming the 2nd y should have been x, 1st y is y, and all divided by 3
2(3)² + (1.5)² / 3
2(9) + 2.25 /3
18 + 2.25 /3
20.25/3
6.25
Edited to correct!________ OR 2y² + y² / 3 assuming the 1st y should have been x, 2nd y is y, and all divided by 3
2(1.5)² + (3)² / 3
2(2.25) + 9 / 3
4.5 + 9 /3
13.5 /3
4.5
Answer:
[tex]\frac{13.5}{3}[/tex]
Step-by-step explanation:
=> [tex]2x^2+y^2/3[/tex]
Where x = 1.5, y = 3
=> 2(1.5)²+(3)² / 3
=> 2(2.25)+9 / 3
=> 4.5 + 9 / 3
=> 13.5 / 3
=> [tex]\frac{13.5}{3}[/tex]
What is the range of possible sizes for side x? PLEASE HELP
Consider the quadratic functions represented below. Function #1 Function #2 x y -1 14 -0 6 1 2 2 2 3 6 4 14 Which function has a greater minimum? Function # has a greater minimum. Function #3 has the equation, y = x 2 + 3x - 4. Complete the statement so that the minimums of the three functions are in order from least to greatest. # < #
Answer:
Function #2 has a greater minimum.
#3 < #1 < #2
Step-by-step explanation:
In the picture attached, the question is shown.
The minimum of Function #1 is located at (3, -1). This is seen in the picture.
The minimum of Function #2 is located at (1.5, 1). We can see in the table that the function is symmetric respect 1.5 (half-point between 1 and 2).
The function y = x² + 3x - 4 has its minimum at its vertex:
x-coordinate of vertex: x = -b/(2a) = -3/(2*1) = -1.5
y-coordinate of vertex: y = (-1.5)² + 3(-1.5) - 4 = -6.25
So, the minimum of Function #3 is located at (-1.5, -6.25)
Answer:
The other guy is right
Step-by-step explanation:
what is the sum of 13=m+21
Answer:
8
Step-by-step explanation:
21-13=8
m=8
Answer:
m= -8
Step-by-step explanation:
13= m+21
-21 -21
subtract 21 from both sides to get "m" alone
-8=m
Bob traveled 90 miles which was 83 1 3 % of his entire trip. How many miles did he have left?
Answer:
Bob has 18 more miles to go
Step-by-step explanation:
90 ÷ 83 1/3 • 100 = 108
108 - 90 = 18
18 miles
Choose the different ways that a graph can be misleading.
The y -axis starts at zero and uses consistent intervals.
The y -axis starts at zero but has different intervals.
Different bar widths are used on the same graph.
The y -axis doesn't start at zero.
Different bar heights are used on the same graph.
The intervals on the y -axis are too large.
Answer:
i. The y -axis starts at zero but has different intervals.
ii. Different bar widths are used on the same graph.
iii. The y -axis doesn't start at zero.
Step-by-step explanation:
A graph is a plot showing accurate representation and presentation of correlation among variables of a given data. It is a tool that can be used to summarize all information about a given data for easy understanding and deductions.
A misleading graph is one that has an inappropriate representation of data, thus a wrong conclusion would be deduced or obtained from this type of graph. Misleading graph is majorly due to inconsistency, and errors in plot (axis or scale used).
Answer:
The y-axis doesn't start at zero.
The intervals on the y-axis are too large.
Different bar widths are used on the same graph.
The y-axis starts at zero but has different intervals.
Step-by-step explanation:
I have this lesson on Odyessyware
Please mark brainliest if this helps.
There are two right circular cylinders. The radius of the first cylinder is 4 centimeters, and its height is 5 centimeters. The radius of the second cylinder is 12 centimeters, and its height is also 5 centimeters. What is the ratio of the volume of the larger cylinder to the volume of the smaller cylinder? A. 3:1 B. 5:1 C. 6:1 D. 9:1
Answer:
D. 9:1
Step-by-step explanation:
The formula for the volume of a cylinder is πr² · h (pi · radius² · height) (use 3.14 for pi).
The two right circular cylinders have the same height. The larger cylinder has a radius that is three times the size of the smaller radius.
4 · 3 = 12
However, in the equation for volume, the radius is squared. Because of this, the larger cylinder is 9 times the size of the smaller cylinder because 3² = 9.
You can check your work by finding the volume of the two cylinders using the volume formula πr² · h:
3.14 · 4² · 5 = 251.2
3.14 · 12² · 5 = 2,260.8
The cylinder with a radius of 12 cm is 9 times the size of the cylinder with a radius of 4 cm.
2.260.8 ÷ 9 = 251.2
Answer:
252.1
Step-by-step explanation:
Choose the best answer that represents the property used to rewrite the expression.
log5 6 − log5 3 = log5 2
Answer:
The Quotient Property.
Step-by-step explanation:
Since all three logarithms have the same base (base-5), and you are subtracting 6 and 3, to solve this all you need to do is 6 / 3 because of the Quotient Property.
You aren't multiplying anything, so you wouldn't use the Product Property.
You are not messing around with powers, so you wouldn't use the Power Property.
And you aren't using addition or multiplication, so you wouldn't use the Commutative Property.
Hope this helps!
Subject algebra I just wanted to know if these are good if not please correct me
Answer:
Correct
Step-by-step explanation:
Everything seems correct. I would just put the two answers for questions 3 & 4 in the separate boxes, instead of having two answers in each box.
1 kilogram
One ratio you could use for converting units is
1,000 grams
A. True
O B. False
Answer:
True
Step-by-step explanation:
For every kilogram, there are 1000 grams
What transformations were applied to ABC to obtain A'B'C'?
A. rotate 180 degrees counterclockwise, then shift 3 units down
B. rotate 270 degrees counterclockwise, then shift 3 units down
c. rotate 180 degrees counterclockwise, then shift 3 units up
D. rotate 270 degrees counterclockwise, then shift 3 units up
O
The required transformation is to rotate 270 degrees counterclockwise, then shift 3 units down. Option B is correct.
What is the geometry across the coordinate plane transformation?Transform the coordinate plane's shapes by translating, rotating, or reflecting them. In the 19th century, Felix Klein introduced transformational geometry, a novel perspective on geometry.
Here,
In the graph, triangle ABC is transformed into triangle A'B'C' by a combination of rotation and translation. First, the triangle is rotated 270 degrees counterclockwise around the origin. Then, the resulting triangle is shifted 3 units down.
Thus, the required transformation is to rotate 270 degrees counterclockwise, then shift 3 units down. Option B is correct.
Here's where you can find out more about transformation: brainly.com/question/18065245
#SPJ7
HELP PLZ!
On a coordinate plane, the green triangle is rotated 90 degrees to form the blue triangle. Triangle Q R S is rotated 180 degrees to form triangle J K L. Use the graph to complete the statements. The green triangle is rotated degrees to form the blue triangle. Triangle QRS is rotated degrees to form the image triangle JKL.
Answer:
The green triangle is rotated
✔ 90
degrees to form the blue triangle.
Triangle QRS is rotated
✔ 180
degrees to form the image triangle JKL.
Step-by-step explanation:
have a nice day because I said so but mostly because you want to
The green triangle is rotated 90 degrees to form the blue triangle. And ΔQRS is rotated 180 degrees to form the image of ΔJKL.
What is coordinate plane?" Coordinate plane is also known as cartesian plane in two dimensional , which is represented by intersection of two axis at 90°, the horizontal axis is known as x-axis and vertical axis is known as y-axis."
According to the given question,
Here all triangles are right angled triangle.
All triangles are perpendicular to the respective axis as per diagram.
Rotation of triangle on coordinate plane from one axis to another forms 90°.
Hence, we conclude that the green triangle is rotated 90 degrees to form the blue triangle. And ΔQRS is rotated 180 degrees to form the image of ΔJKL.
Learn about more coordinate plane here
https://brainly.com/question/13611766
#SPJ2
explain the words and the connections of population ,area, urban,and density
Step-by-step explanation:
1. Population Area: this can be defined as a group of similar species
inhabiting/ co-existing in a defined location or space
2. Urban population: urban areas are often more developed areas with greater population than rural environments
it's the people living in cities.
3. Population density: this is a measurement of population per unit area..
steve can run 3.5 miles in 30 minutes. if he increases his rate by 1/2 mile per hour, how far will he run in 2 hours?
Answer:
15 miles
Step-by-step explanation:
Currently, he can run 3.5 * 2 = 7 mph. Adding 1/2 mph to that gives us 7.5 mph, so therefore, in 2 hours he can run 7.5 * 2 = 15 miles.
Answer:
15
Step-by-step explanation:
because its correct just did the thing.