The amount of radioactive element remaining, r, in a 100-mg sample after d days is represented using the equation r=100[tex]( \frac{1}{2})^ \frac{d}{5} [/tex] . What is the daily percent of decrease?

87.06%
12.94%
3.13%
10%

Answers

Answer 1
[tex]\bf r=100\left( \frac{1}{2} \right)^{\frac{d}{5}}\\\\ -------------------------------\\\\ \textit{after 1 day how much remains?}\qquad \boxed{d=1}\qquad r=100\left( \frac{1}{2} \right)^{\frac{1}{5}} \\\\\\ r=100\left( \cfrac{1^{\frac{1}{5}}}{2^{\frac{1}{5}}} \right)\implies r=100\left( \cfrac{1}{\sqrt[5]{2}} \right)\implies r\approx 87.06 \\\\\\ \textit{used to be 100mg, it went down in 1 day to 87.06 or }12.94[/tex]

how much is 12.94 in percent of 100?  well, since is 100, is just 12.94%.
Answer 2

Answer:

its 12.94%

Step-by-step explanation


Related Questions

What is the area of a parallelogram whose vertices are A(−1, 12) , B(13, 12) , C(2, −5) , and D(−12, −5) ?

Answers

238 square units. The area of a parallelogram is the base multiplied by the height. You can use any of its four sides as the base, so pick the one that is easiest to deal with. Examining the parallelogram, you'll notice that line segments AB and CD are both parallel to the x axis which makes it extremely easy to calculate the height which is 12 - (-5) = 17. The length of AB is 13 - (-1) = 14. So the area of the parallelogram is 14 * 17 = 238

Hurry please!! Use any model you choose to solve the story problem. Zoey found that box of dog food was left in the pantry. She shared this food equally among her 4 dogs. What fraction of the full box of dog food did each dog get?

Answers

There is a box that is full which is 100% so if she is splitting the box equally she will be giving each dog 25% of the box or 1/4 of the box.

what did the candle say to the match

Answers

you light up my life

What is the square root of 99 simplified?

Answers

Step-by-step explanation: To simplify the square root of 99, first create a factor tree that has 2 branches.

99 factors as 11 × 9 and 9 factors as 3 × 3.

Since we have a pair of 3's in our factor tree, a 3 can come out of the radical. Since we have a 11 that doesn't match up, it stays inside the radical and this gives us the answer of [tex]\sqrt[3]{11}[/tex].

I have also attached my work in the image provided.

The square root of 99, when simplified as much as possible, is approximately 9.94987437.

We have,

The square root of a number is a value that, when multiplied by itself, gives the original number.

In the case of the square root of 99, there is no whole number that can be multiplied by itself to result in 99.

Therefore, the square root of 99 is an irrational number.

To find an approximate value for the square root of 99, we can use a calculator or mathematical methods.

The square root of 99 is approximately 9.94987437.

This means that when we multiply 9.94987437 by itself, we get a value close to 99.

Since 9.94987437 cannot be simplified further as a whole number or a simplified radical, it is the most accurate representation of the square root of 99.

Thus,

The square root of 99, when simplified as much as possible, is approximately 9.94987437.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ6

A diver descends to a location of −5014 meters relative to the surface of the water. He then descends another 1012 meters.

What is the diver’s final location relative to the surface of the water?

Enter your answer as a simplified mixed number in the box.

Answers

Its -60 3/4


Hope this helps!~

Answer: Using operations with fractions, the diver's final location is:

- 60 3/4 meters relative to the surface of the water (60 3/4 meters below the surface of the water).


Solution:

Initial location: -50 1/4 meters

He descends another 10 1/2 meters: -10 1/2 meters

Final location = Initial location - 10 1/2 meters

Final location = - 50 1/4 meters - 10 1/2 meters

Final location = - (50+10) (1/4+1/2) meters

Final location = - 60 [(1)(1)+2(1)]/4 meters

Final location = - 60 (1+2)/4 meters

Final location = - 60 3/4 meters

Find the perimeter of the figure. 2 1/4 in, 4 1/12in, 3 2/3in

Answers

 it would = out to be  9 18/73

Which equation can be used to find the value of b if side a measures 8.7 cm? 8.7 + b = 54.6 17.4 + b = 54.6 26.1 + b = 54.6 34.8 + b = 5

Answers

The correct equation is 8.7 + b = 54.6
because it is given that measure of side a is 8.7cm, in all other equations the values of a is different.
from the first equation we can find the value of b, that is
b = 54.6 - 8.7 = 45.9
so, value of b is 45.9cm

If x is an even number, the function f(x) = 2x − 1 gives an odd number. Identify the set of odd numbers corresponding to this set of even numbers: {0, 2, 4, 6, 8}.

Answers

x = {0, 2, 4, 6, 8}.

=> f(x) = 2x - 1


x                  f(x) = 2x - 1

0                   2*0 - 1 = - 1

2                   2*2 - 1 = 3

4                   2*4 - 1 = 7

6                   2*6 - 1 = 11

8                   2*8 - 1 = 15

Answer: {-1, 3, 7, 11, 15}

Find measure of angle d A. 122 degrees B. 61 degrees C. 238 degrees D. Not enough information

Answers

Final answer:

To find the measure of angle d, you can use the dot product formula and inverse cosine function.

Explanation:

To find the measure of angle d, we need to consider the given information about vectors A and B. The vector A is represented as (122 cm, <145°) and the vector B is represented as (110 cm, <270°). The angle between two vectors can be found using the dot product formula: cos(theta) = A · B / (|A| * |B|). So, we can calculate the dot product and magnitude of vectors A and B, and then use the inverse cosine function to find the angle between them. The measure of angle d is __ degrees.

What is the equation of a line with a slope of 2 that goes through the point (4,12)?

Answers

Formula for point-slope: [tex]y - y1 = m(x-x1)[/tex]
Plug in the values: [tex]y -12 = 2(x - 4) [/tex]

And there you have your answer in point-slope form

If f(x) = 5x, what is f–1(x)?
A. f–1(x) = –5x
B. f-1(x)=-1/5x
C. f-1(x)=1/5x
D. f–1(x) = 5x

Answers

To get the inverse of a function interchange
the x's with the y'x and solve for y, as follows:
y=5x-7


Interchange to get:
x=5y-7
Solve for y to get:
y=(1/5)x+(7/5)

so I think it might be c


Answer:

The answer is C.

Step-by-step explanation:

Step 1: Replace f(x) with y.

     f(x)=5x >>>>> y=5x

Step 2: Switch x and y.

     y=5x >>>>> x=5y

Step 3: Solve for y

     x=5y >>>> y= x/5

Then you have to do the inverse of dividing by 5. Which is multipilying by 1/5. This leaves you with,

      y= 1/5x

Step 4: Write in standard inverse notation (Replace y with f^-1(x))

      f^-1(x)=1/5x  

Note: These steps work with ANY problem where you have to find the inverse function. I hope this helps :)

     

what is the estimate of 39% of 120

Answers

It  is 47 because you had to turn 39 into a fraction of 100. So you would do .39x1120. Which would give you the fraction of 46.8. That number rounded is 47.


Which graph represents the solution set of the system of inequalities?

{3y≥x−9
3x+y>−3
WHICH ONE ?

Answers

the first graph

the solid line passes through (0,-3) and (0,9)

 dotted line passes through (0,-3) and (0,-1)

 see attached sketch

With a tail wind, a plane traveled 840 miles in 3hrs. With the same wind as a head wind, the return trip took 30 minutes longer. Find the plane's airspeed(in still air) and the wind speed....
So lost smh

Answers

Tail Wind: 840 miles in 3 hours (i.e. Plane is going with the wind)
Head Wind: 840 miles in 3.5 hours (i.e. Plane is going against the wind)

Let the plane speed (without wind) i.e. airspeed = v
Let the wind speed = w

The two equations can be made
1. v + w = 840 miles in 3 hours 
   v + w = 280 miles per hour
2. v - w = 840 miles in 3.5 hours
    v - w = 240 miles per hour

This is a set of simultaneous equations. We can either solve with substitution or elimination. I choose elimination

v + w = 280
- (v - w = 240)
2w = 40
w = 20
So the wind speed, w, is 20 miles per hour

We can then substitute w = 20 into either equation to find v.
+ w = 280 miles per hour
v + 20 = 280
v = 260

So the planes airspeed, v, is 260 miles per hour


Final answer:

To find the plane's airspeed (in still air) and wind speed, we can use the concept of relative velocity. By setting up a system of equations using the distances and times for the outbound and return trips, we can solve for the values of the airspeed and wind speed. Solving these equations, we find that the plane's airspeed is 230 mph and the wind speed is 70 mph.

Explanation:

To find the plane's airspeed and wind speed, we can use the concept of relative velocity. Let's assume the plane's airspeed (in still air) is P mph and the wind speed is W mph.

On the outbound trip, with a tailwind, the plane's groundspeed (the speed relative to the ground) will be the sum of its airspeed and the wind speed: P + W mph. Since the distance traveled is 840 miles and the time taken is 3 hours, we have the equation: Distance = Speed * Time, where Speed is the groundspeed. Therefore, we can write the equation as: 840 = (P + W) * 3.

On the return trip, with the same wind as a headwind, the plane's groundspeed will be the difference between its airspeed and the wind speed: P - W mph. As it took 30 minutes longer, the time taken will be 3 hours + 0.5 hours = 3.5 hours. Using the same equation, we have: 840 = (P - W) * 3.5.

Now we have a system of equations, which we can solve to find the values of P and W. Solving these equations, we get:

Airspeed (in still air) = 230 mph

Wind speed = 70 mph

Learn more about finding airspeed and wind speed here:

https://brainly.com/question/19908126

#SPJ2

I am doing Geometry and I don't know how to do this!

Answers

A) 3x + 5 + y + 20 = 180
B) x + 15 + 4y -15 = 180

A) 3x + y = 155
B) x + 4y = 180
multiplying B) by -3
B) -3x -12y = -540 than adding this to A)
A) 3x + y = 155 equals

-11y = -385

y = 35  then putting this into equation A)

A) 3x + 5 + 35 + 20 = 180
3x = 120
x = 40


A 120 lb person would weight about 20 lb on the earth's moon .A 150 lb. person would weight 28lb. on lo, a moon of jupiter.

Answers

find the common ratio numerator

A new car has an msrp of $20,150, and it comes with a sport package priced at $1500, a stereo package priced at $500, and a destination charge of $700. what is the sticker price of this car?

Answers

22850 is the answer
Thanks (:

What is the exterior angle of triangle ABC

These are the points:
A=3, B=10, C=6

Answers

Based off of  what I can see in the  photo (its too blurry to know for sure) and what I think you're asking:

The angle of a triangle always adds up to 360degrees, so base it on that and the acute and obtuse  angles  and get the degrees from there, the angle would be those degrees you find or <10, 5, 4 (what I assume  is a 5)

What is the answer to p/3 -2=1

Answers

(p/3) - 2 = 1

p/3 = 1 + 2

p/3 = 3

3(p/3) = 3(3)

p = 9

You are designing a rectangular sign for your school’s football team. The sign will be 6 yd wide and 9 ft high. How many square yards of material do you need?

Answers

First, you would convert length and width to yards. 
You would be left with 6yds and 3yds. 

Then, to find the area of the sign, you would multiply them. 
6 x 3 = 

Your answer would be, 18 square yards

I hope this helps!
You are looking of the area of the material.
Since it is a rectangle, you have to do  length x width
The length is 6 and the width is 3
so 6x3=18.


You would need 18 square yards of material.

arlene grossman earns $235 per week her federal income tax is $36.00 her FICA tax is 6.2% arlene is also subject to a 3% state income tax and a 1% city tax whats her net pay

Answers

Arlene Grossman will net $175.03 per week. She loses 10.2% in taxes, which is $23.97 and she loses an additional $36 in income tax. $235 minus $23.97 minus $36 equals $175.03.

If you ask three strangers about their birthdays, what is the probability:

Answers

Part A:

The probability that the birthday of three strangers were on Wednesday is given by

[tex]\left( \frac{1}{7} \right)^3= \bold{\frac{1}{343}} [/tex]



Part B:

The probability that the birthday of three strangers were on different days of the week is given by

[tex]\left( \frac{1}{7} \right)\left( \frac{1}{6} \right)\left( \frac{1}{5} \right)= \bold{\frac{1}{210}} [/tex]



Part C:

The probability that none of the three strangers were born on Saturday is given by

[tex]\left( \frac{6}{7} \right)^3= \bold{\frac{216}{343}}[/tex]

What is the area of a rectangle with vertices at ​ (−6, 3) ​, ​ (−3, 6) ​ , (1, 2) , and (−2, −1) ? Enter your answer in the box. Do not round any side lengths.

Answers

You would have to find the magnitude of the sides to find out the area. 

A=(-6, 3) 
B= (-3,6) 
C= (1, 2) 
D= (-2, -1) 

A-B = √(x₁-x₂)²+(y₁-y₂)² 
=√(-6+3)²+(3-6)²
=√9+9
=√18 
=4.24

C-D=√(x₁-x₂)²+(y₁-y₂)² 
=√(1+2)²+(2+1)²
=√9+9 
=4.24 

Area= lxw 
A=√18x√18
a=18 

Hope I helped :) 

The area of the rectangle is 18 square units if the vertices at ​ (−6, 3) ​, ​ (−3, 6) ​ , (1, 2) , and (−2, −1).

What is the area of the rectangle?

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

It is defined as the two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.

It is given that:

A rectangle with vertices at a​ (−6, 3) ​, ​b (−3, 6) ​ , c(1, 2) , and d(−2, −1)"

As we know,

The distance formula can be given as:

[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

ab = √(x₁-x₂)²+(y₁-y₂)²

=√(-6+3)²+(3-6)²

= √18

cd =√(1+2)²+(2+1)²

= √18

Area= lxw

A=√18x√18

a=18

Thus, the area of the rectangle is 18 square units if the vertices at ​ (−6, 3) ​, (−3, 6) ​ , (1, 2) , and (−2, −1).

Learn more about the rectangle here:

https://brainly.com/question/15019502

#SPJ5

What is the point slope form of the line with slope −1/4 that passes through the point (−2, 9) ?



y+9=−14(x−2)

y−2=−14(x+9)

y+2=−14(x−9)

y−9=−14(x+2)

Answers

y - 9 = -1/4 ( x + 2)

answer
y−9=−14(x+2) 
last one

Answer:

Step-by-step explanation:

Point slope form of the equation with point (a,b) and slope m is given by this equation

y-b=m(x-a)

Here we are given that the slope is -1/4 so m= -1/4

and the point is (-2,9) so a =-2 and b =9

Hence plugging the values in the equation we get

y-9 = -1/4 (x-(-2))

y -9 =-1/4 (x+2)

Jacks wild souvenirs shop is selling all shirts for $10 each and all flip flops for $5 per pair. At the end of one day jacks shirts and flip flops sales totaled $325 for $41 items. How many shirts and flip flops did jack sell?

Answers

Let x =  the number of shirts sold
Let y =  the number of pairs of flip flops sold

Because 41 items were sold, therefore
x + y = 41           (1)

Shirts sell for $10 each, and a pair of flip flops for $5 per pair (or $2.50 each). Total sales is $325.
Therefore.
10x + 5y = 325
or, divide by 5 to obtain
2x + y = 65      (2)

Subtract (1) from (2).
2x + y - (x + y) = 65 - 41
x = 24
From (1), obtain
y = 41 - x = 41 - 24 = 17

Answer:
Jack sold 24 shirts and 17 pairs (or 34) of flip flops.

What is the product written in scientific notation? (5.91×10−3)⋅(8.7×1010)

Answers

(5.91×10^−3)⋅(8.7×10^10)
=(5.91 × 8.7)⋅(10^-3 × 10^10)
= 51.417 x 10^7
= 5.1417 x 10^8

hope it helps

Answer:

Product [tex]5.1417 *10^{8})[/tex].

Step-by-step explanation:

Given : [tex](5.91* 10^{-3} )(8.7*10^{10})[/tex].

To find : What is the product written in scientific notation.

Solution : We have given

[tex](5.91* 10^{-3} )(8.7*10^{10})[/tex].

Combine like terms

[tex]5.91 * 8.7 * 10^{-3}*10^{10})[/tex].

[tex]51.417 * 10^{-3}*10^{10})[/tex].

[tex]51.417 *10^{7})[/tex].

In scientific notation

[tex]5.1417 *10^{8})[/tex].

Therefore, Product [tex]5.1417 *10^{8})[/tex].

Customers have two options when renting video games from a rental store. Plan A requires a $5 monthly fee and $1 per video rental. Plan B requires an $8 monthly fee and $0.75 per video rental. How many video rentals would be required each month for the plans to cost the same amount?

Answers

for the first rental it's 35 times the second one is 24 times

What is the slope?
What is the y intercept?
What is the x intercept?
What is the equation of the line in slope intercept form?
What is the equation of the line in standard form?

Answers

the slope is -2 or -2/1 
the x intercept is -8 
the y intercept is -4
the equation of the line in slope intercept form is y= -2x-4
the equation of the line in standard form is -2x-4y=0

Answer: Slope- (-1/2)

Y intercept- (-4)

the x intercept is -8  

the equation of the line in slope intercept form is y= -1/2x-4

the equation of the line in standard form is -1/2x-4y=0

Can someone explain 15-20? I really need help and it's due tomorrow. Thank you in advance!

Answers

15-20 is -5. If you put 15 on a number line and go back twenty spaces you land on -5 hope this helps.
ok so one of the halves will always be half of the other so 
15) NL = 5 because since JM = 14 Mk =7 because it is half of JM same goes for the other side since JN =10 NL =5
i hope this helped

Write a compound inequality that represents the situation.

all real numbers at least –6 and at most 3

Answers

Answer:

[tex]\[-6 \leqslant x \leqslant 3\][/tex]

Step-by-step explanation:

The requirement is to represent a compound inequality with all real numbers at least –6 and at most 3.

This can be broken into two parts:

a) All real numbers at least -6

[tex]\[x\geqslant -6\][/tex]

b) All real numbers at most 3

[tex]\[x \leqslant 3\][/tex]

Combining the two inequalities to generate the compound inequality:

[tex]\[-6 \leqslant x \leqslant 3\][/tex]

Other Questions
Katherine owns the trendy boutique where Clara works as a shop assistant. Deanne loves the clothes in Katherine's boutique and shops there often. Which of these three people is a consumer? The last wednesday in a certain month is on the 26th day of that month. What day of the week is the first day of that month? Match the term in column 1 with the statement in column 2.A.Under-coverage B.Response bias C.Question-wording bias1.Answers given do not reflect true views. 2.Not a representative sample. 3.Expecting a certain answer. How does the function of melanin explain not only the variety of skin colors but susceptibility to skin cancer? The hot temperatures and low amounts of precipitation characteristic of Phoenix, AZ, provide an example of a __________ climate. What is another name for a trial court of limited jurisdiction? A student has selected 8 books that she likes, but she has money only for 3 books. how many possible selections does she have? Which of the following is an example of a biological hazard What were chief joseph's basic demands? why would whites have balked at meeting them? Use the equation in the sample problem on the previous page to find the area of a rectangle that is 48.5 cm long and 3.77 cm wide. Round your answer to the correct number of significant figures. Franks quarter grades are 82.5, 94.7, and 87.9 what grade rounded to the nearest percent will frank need to recieve at least a an 89 % final course grade A.92% B.90% C.91% D.89% please show work pls help will give crown to best answer 3. The equation y = 12x describes the amount of money Louis earns, where x is the number of hours he works and y is the amount of money he earns. The table shows the amount of money Carl earns for different numbers of hours worked. Carls Earnings Time (h) 3 5 8 10 Money earned ($) 45 75 120 150 (a) How much money does Carl earn per hour? Show your work. (b) Who earns more per hour? Justify your answer. (c) Draw a graph that represents Carls earnings over time in hours. Remember to label the axes. Jackie's watch loses two minutes every hour. Adam's watch gains one minute every hour. They both set their watches at the radio at 6:00 am, then start their journey to the airport. When they arrive (at the same time) their watches are twelve minutes apart. What is the real time they arrive at the airport? What innovations did ancient Mesopotamians pass on to later civilizations? mummification (select all that apply) silk production legal code number system gunpowder writing wheel calendar if x^2+14x-95=(x+a)(x+b), then the numerical value for ab is Tyrosine contains 11 hydrogen atoms, 9 carbon atoms, 3 oxygen atoms, and 1 nitrogen atom. what is the chemical formula for tyrosine? A car in a movie moving at 20 m/s flies off a cliff that is 74.3m tall. How long is the car in the air for and how far does the car travel before it hits the ground below? One strong objection many nurses today have with the Nightingale Pledge has to do with _____. its reference to God the pledge of loyalty and endeavoring to aid the physician in his work abstaining from taking or giving any harmful drugs a promise to live life in purity At its insertion (unlike at its origin), the buccinator muscle __________. Steam Workshop Downloader