How much of a radioactive kind of promethium will be left after 20 days if you start with
9,056 grams and the half-life is 5 days?

Answers

Answer 1

in 20 days 4 half life will be completed

so n = 4

formula :-

[tex] \frac{ A\degree}{ {2}^{n} } = \frac{9056}{ {2}^{4} } = \frac{9056}{16} = 566grams[/tex]

Answer 2

The radioactive kind of promethium will have 566 grams left after 20 days.

What is half-life?

Half-life is the time required for a quantity to reduce to half of its initial value.

Given, A radioactive kind of promethium with 9,056 grams and a half-life is 5 days.

∴ In the next 5 days, it'll have (9056/2) = 4528 grams.

Next 5 days it'll have (4528/2) = 2269 grams.

As it has a half-life in 5 days and 20 is multiple (4×5).

After 20 days the radioactive material will have (9056/2⁴) grams.

= 566 grams left.

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Related Questions

4sin(-x)cos(-x)= -2sin2x
true or false

Answers

[tex]\text{L.H.S}\\\\=4\sin(-x) \cos(-x)\\\\=-4\sin x \cos x\\\\=-2 \cdot 2 \sin x \cos x\\\\=-2 \sin 2x\\\\=\text{R.H.S}\\\\\text{The identity is true.}[/tex]

A pizza is divided into 12 slices. If there are eight slices left, what fraction of the pizza is
remaining?

Answers

Answer:

when 12 pieces say =1/12

so 8 pieces say = 1/8

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

fraction of remaining part=8/12 (divided with 4)

=2/3

A library had 6422 music CDs stored on 26 shelves.If the same number of CDs were stored on each shelf how many CDs were stored on each shelf

Answers

one shell stores CDs:6422/26

246


A Goodyear Blimp is positioned at a height of 1,500 feet over the M&T
Bank Stadium to broadcast the Baltimore Ravens game. The blimp is
observed by a car of fans as they look upward at an angle of 22º.
Another car closer to the stadium can see the blimp if they look
upward at an angle of 65º.
DEOOV
כשע
Figure not
drawn to scale
1500 ft
65
22
x ft.
Determine x, the distance between the two cars.

Answers

The distance between two cars comes to be 4412.06 feet.

Find the attached diagram to visualize it better.

From the attached diagram

The Distance between two cars is x+y

The angle of elevation for the first car = 22 degrees

The angle of elevation for the second car = 65 degrees.

Height of the Goodyear blimp = 1500 feet

What is the tangent of an angle?

The tangent of an angle is the ratio of the opposite side to the adjacent side of that angle.

So, tan 22° = 1500/x

So, x= 1500/tan 22°

x = 3712.63 feet

tan 65° = 1500/y

So, y = 1500/tan 65°

y = 699.46 feet

x+y = 4412.06 feet

So, the distance between two cars =  4412.06 feet

Therefore, the distance between two cars comes to be 4412.06 feet.

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Find the value of the expression.

Answers

Answer:

0

Step-by-step explanation:

((3/5 ^0)^-2)

3/5^0=0

0^-2= 0

Given that a= 6 cm and b = 5 cm, work out the area of the triangle.

Answers

Answer:

15cm²

Step-by-step explanation:

Area of a triangle: 1/2*b*h

a = height (6cm)

b = base (5cm)

A = 1/2* b * h

A = 1/2 * 5 * 6

A = 1/2 * 30

A = 15cm² <== final answer

Hope this helps!

john had thrice as many stickers as Ken. After Ken had given away 12 stickers to his brother, John had 5 times as many stickers as Ken. How many stickers did John and Ken have in the end?

Answers

The number of stickers John and Ken have in the end is 6 and 18 respectively.

How to write and solve equation?

let

Ken stickers = xJohn stickers =3x

New stickers

Ken = x - 12John = 5x

x + x - 12 = 3x + 5x

2x - 12 = 8x

-12 = 8x - 6x

-12 = -2x

x = 12/2

x = 6

So,

Ken stickers = x

= 6 stickers

John stickers = 3x

= 3 × 6

= 12 stickers

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What is the value of x? 1/6 (3 - 2x) < 1/3 x

Answers

Step-by-step explanation:

1/6 (3 - 2x) < 1/3 x

let's multiply everything by 6

3 - 2x < 6/3 x

3 - 2x < 2x

3 < 4x

3/4 < x

so, x > 3/4

since 3/4 is never equal to x but is purely smaller than x, the interval of valid x values starts right after 3/4 and goes to infinity.

x = 3/4 is not valid, because 3/4 is not smaller than 3/4 (it is equal to) ...

solve this sum urgent no spam​

Answers

Answer:

Step-by-step explanation:

YES IS THE ANSWER BECAUSE X=9

AND 11+3=87

1st is commutative property of addition

2nd is commutative property of multiplication

Which expression is equivalent to the following complex fraction?

Answers

Answer:

Option B

Step-by-step explanation:

Numerator:

[tex]\dfrac{3}{x -1 }-4 =\dfrac{3}{x-1}-\dfrac{4*(x-1)}{x-1}\\\\[/tex]

                 [tex]=\dfrac{3- 4x -4*(-1)}{x-1}=\dfrac{3-4x+4}{x-1}\\\\\\=\dfrac{-4x+7}{x-1} \: \textbf{ [Combine like terms]}[/tex]

Denominator:

[tex]2-\dfrac{2}{x-1}=\dfrac{2*(x-1)}{x-1}-\dfrac{2}{x-1}\\[/tex]

                [tex]= \bf \dfrac{2x-2-2}{x-1}\\\\\\= \dfrac{2x-4}{x-1}\\\\= \dfrac{2*(x- 2)}{x-1}[/tex]

[tex]\dfrac{\dfrac{3}{x-1}-4}{2-\dfrac{2}{x-1}}=\dfrac{\dfrac{-4x+7}{x-1}}{\dfrac{2*(x-2)}{x-1}}[/tex]

                 [tex]\bf = \dfrac{-4x+7}{x-1}*\dfrac{x-1}{2(x-2)} \ \ \ \textbf{ [(x-1) in the numerator and denominator will be cancelled]}\\\\\\=\dfrac{-4x+7}{2(x-2)}[/tex]

The Adventure Zone amusement park asked all of their employees who attend college how many hours of
homework they had per week and determined that they had an average of 24 hours of homework per
week.
Based on this data, which of the following conclusions are valid?
Choose 1 answer:
24% of all of the amusement park employees who attend school have homework each week.
24% of all of the amusement park employees who attend college have homework each week.
The amusement park employees who attend college have an average of 24 hours of
homework per week, but we cannot conclude anything about the percent of the population
who have homework.

Answers

The amusement park employees who attend college have an average of 24 hours of homework per week, but we cannot conclude anything about the percent of the population who have homework.

What is the valid conclusion?

The survey was to determine the average number of hours per week for employees that attended college. The result was that college students had an average of 24 hours of homework per week.

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Answer:

the last

answer

Step-by-step explanation:

Helppppp!!! 50 pts!

Translate the sentence into an equation.

Three times the sum of a number and 5 is 7.

Use the variable C for the unknown number.

Answers

Answer:

3(C + 5) = 7

Step-by-step explanation:

Let C = unknown number

The sum of a number and 5:

C + 5

Three times the sum of a number and 5:

3(C + 5)

Three times the sum of a number and 5 is 7:

3(C + 5) = 7

To solve

Use the distributive law:  a(b + c) = ab + ac

⇒ 3C + 15 = 7

Subtract 15 from both sides:

⇒ 3C = -8

Divide both sides by 3:

⇒ C = -8/3

Le the number be c

Sum of a number and c means c+53times that means 3(c+5)

So

The expression is

3(c+5)=7

On solving

3c+15=73c=-8c=-8/3

A shipping company will ship a package for $7.50 when the volume is no more than 15,000 cubic centimeters. Grace needs to ship a package that is 3x-5 centimeters long, 2x centimeters wide, and x + 20 centimeters tall. A.Write a polynomial expression to represent the situation if Grace plan as to spend a maximum of $7.50
B. Write and solve a system of equations
C. What should the dimensions of the package be to have the maximum volume?

Answers

The maximum volume is at x = 0.85 cm. The inequality is 6x³ + 110x² - 200x ≤ 15000

What is an inequality?

An inequality is an expression that shows the non equal comparison between two or more numbers and variables.

A shipping company will ship a package for $7.50 when the volume is no more than 15,000 cubic centimeters. Hence, if Grace plan as to spend a maximum of $7.50:

Volume (V) = (3x - 5)(2x)(x + 20) = 6x³ + 110x² - 200x

The inequality is:

6x³ + 110x² - 200x ≤ 15000

6x³ + 110x² - 200x - 15000 ≤ 0

x = 10

The maximum volume is at:

V' = 0

V' = 18x² + 220x - 200 = 0

x = 0.85 cm

The maximum volume is at x = 0.85 cm. The inequality is 6x³ + 110x² - 200x ≤ 15000

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If a coat was marked down 20% and the sale price is $55.60, what is the original price?

Answers

Answer:

$69.50

Step-by-step explanation:

As it was marked down 20%, this means the sale price would be 100-20=80%.  

When                   80%  ---- cost $55.60      

Therefore when 100% ---- cost = $55.60 * 100/80

So when we solve this, we get the final ans $69.50                                  

Drew and Beau each brought cylindrical water bottle to football practice. Drew's water bottle has a diameter of 3 inches and a height
of 7 inches. Beau's water bottle has a radius of 2 inches and a height of 9 inches. Whose water bottle holds more water and how much more does it hold? Round to the nearest hundredth.

Answers

The bottle that holds more water has the larger volume

Beau's water bottle holds more water

How to determine the bottle with more water?

The given parameters are:

Drew

Diameter = 3 inchesHeight = 7 inches

Beau

Radius = 2 inchesHeight = 9 inches

The volumes of their bottles is calculated using:

V = πr^2h

So, we have:

Drew = 3.14 * (3/2)^2 * 7

Drew = 49.46

Beau = 3.14 * (2)^2 * 9

Beau = 113.04

By comparison, 113.04 is greater than 49.46

Hence, Beau's water bottle holds more water

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Becket needs to solve the system of equations using elimination.
-2x+4y=-2
(6x-y=28)
Which correctly describes the first step Becket should take?
A. Multiply each term in the 1st equation by -3
B. Multiply each term int he 1st equation by 3
C. Multiply each term in the 2nd equation by -4
D. Both B and C would work

Answers

Answer:

B. Multiply each term in the 1st equation by 3

Step-by-step explanation:

A is incorrect because multiplying the entire 1st equation by -3 will give you 6x - 12y = 6. This does not cancel with either x or y term in the second equation.B is correct because by multiplying the entire 1st equation by 3 will give you -6x + 12y = -6. The -6x term will cancel (or eliminate) the 6x term in the second equation.C is incorrect because multiplying the entire 2nd equation by -4 will give you -24x + 4y = -112. This does not cancel with either x or y term in the 1st equation.D is incorrect because C was proven to be incorrect.

Step-by-step explanation:

step 1

Multiply each term in the second equation with 4

step 2

Add equation 1 to equation 2

step 3

make x subject of formula and obtain value of X

step 4

substitute value of X in equation 1 and find Y

Melanie goes to a shelter to buy a dog. She has settled on two dogs, an Alsatian and a bulldog. To decide between them, she plans to flip a coin. Before she does, she flips the coin 50 times to check for fairness of the model. Her results are shown in the table.

Coin Toss Result Times Result Occurred
heads 24
tails 26
The relative frequency of landing on heads is ____. The relative frequency of landing on tails is
____.

Answers

Using it's concept, it is found that the relative frequency of landing on heads is 0.48 and of landing on tails is 0.52.

What is a relative frequency?

A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, out of 50 flips, 24 landed on heads and 26 on tails, hence:

Fh = 24/50 = 0.48.

Ft = 26/50 = 0.52.

The relative frequency of landing on heads is 0.48. The relative frequency of landing on tails is 0.52.

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PLEASE ANSWER FAST WILL MARK BRAINLIEST

Answers

[tex]\sf y=50\left(1.8\right)^{x}[/tex]

=================================

the first term : 50

crosses point : (0, 50), (1, 90)

solve for y,

[tex]\sf y=50\left(1.8\right)^{1}[/tex]

[tex]\sf y=90[/tex]

Thus D is correct option.

Graph:

mathematics pls help 4 questions will give brain to best answer

Answers

Answer:

1)ur first answer is 12

2)Your median is 9

3)9

4) range 7

Step-by-step explanation:

it’s the most common number

The middle numbers are 8 and 10.9 is the number in between them which mean it is the median

4) you subtract the biggest number with the smallest one 12-5=7

Answer:

[1] 12

[2] 9

[3]  9

[4] 5

Step-by-step explanation:

[1] What is the mode for the following set of data?

5,7,8,10,12,12

Answer = 12

Explanation: Mode is what most appears in data set. Thus, we see that 12 is the mode.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[2] What is the median for the following set of data?

5,7,8,10,12,12

Answer = 9

Explanation:

Median is basically what in the middle.

5,7,8,10,12,12

5,7,8,10,12,12

Since there are two number in the middle: Add them up and then divide by 2. 8 + 10 = 18/2 = 9

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[3] What is the mean for the following set of data?

5,7,8,10,12,12

Answer = 9

Explanation:

Mean is add all the number up and then divide by total number in data set

5 + 7 + 8 + 10 + 12 + 12 = 54

Total number in data set : 6

54/6 = 9

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[4] What is the range for the following set of data?

5,7,8,10,12,12

Answer = 5

Explanation:

Range = IQR = Q3 - Q1

Knowing that;

Quartiles:

Q1 --> 7

Q2 --> 9

Q3 --> 12

Hence, 12 - 7 =5

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Lenvy~

Compared with the graph of the parent function,
which equation shows a vertical stretch by a factor
of 6, a shift of 7 units right, and a reflection over the
X-axis?

Answers

Step-by-step explanation:

as I don't see any equations or graphs here I can only answer in general :

f(x) is the patent function.

g(x) is the transformed function.

g(x) = -6f(x-7)

the "-" reflects the curve over the x-axis (what was positive is now negative and vice versa).

the factor 6 stretches the curve up and down by the factor 6 (everything is now 6 times larger or smaller).

and the argument "x-7" relates x (for the new function) with "x-7", meaning that now things are happening at x, that were originally happening at x-7, so they happen now "later" (more to the right on the x-axis) than before - hence a shift to the right.

Answer:

its D

Step-by-step explanation:

took the test :)

Plsss help mee I’m not sure what the answer is

Answers

So r = 5
Base area = pi * r ^ 2 = pi * 5 ^2 = 25 pi
Volume = base area * height = 25 pi * 20 = 500 pi
D

Answer:

D. would be the correct answer

A suit is on sale for 72% off. The sale price is $263.20.
What is the regular price?

Answers

Answer:

940

Step-by-step explanation:

To find the original price of something that been discount do the following:

Subtract the discount from 100 to get the percentage of the original price.Multiply the final price by 100.Divide by the percentage in Step One.

Or we can do the following:

We shall consider the original price as x; hence the discount can be considered as (x−263.20). We can write the equation:

x · 72/100=x - 263.20

x · 18/25 = x - 263.20

Multiply both sides by 25

18x = 25(x - 263.20)

Open the brackets.

18x = 25x-6580

Add 6580 to each side.

6580 +18x = 25x

Subtract 18x from each side.

6580 = 7x

Subtract 7x from each side.

x = 940

Check Answer:

940 * 72% = 676.80

940 - 676.80=263.20

Hence, the regular price is 940.

~lenvy~

Step-by-step explanation:

The sale price ( The marked price ) :- $263.20

Discount :- 72%

Discount :- marked 100 ,Discount 72 ,Seliing ( Regular ) 28

Regular price :- 263.20 × 28 / 100

$ 73.69

What does Opie create with simple geometric shapes and lines?
A. Facial features
B. Eyes and ears
C. The portrait's hair
D. The shape of the bust

Answers

Opie created facial features with simple geometric shapes and lines. Option A

Who is Julian Opie?

Julian Opie is a known as a renowned British artist known for his distinctive depictions of figures, portraits, and landscapes.

His earliest works was the painted steel sculptures, domestic appliances, architectural structures and geometrical shapes showing the relationship between visual and spatial observation

He created distinct facial shapes and forms on a flat surface by means of lines, colors and shadings.

Thus, Opie created facial features with simple geometric shapes and lines. Option A

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Melanie invested $63,000 in an account paying an interest rate of 7\tfrac{1}{8}7
8
1

% compounded quarterly. Lillian invested $63,000 in an account paying an interest rate of 7\tfrac{3}{8}7
8
3

% compounded continuously. After 15 years, how much more money would Lillian have in her account than Melanie, to the nearest dollar?

Answers

Go study at your house don’t come again

please help
The radius of the base of a right circular cone is 5 times greater than the radius of a second right circular cone. If the heights of both cones are the same, what is the volume of the larger cone divided by the volume of the smaller cone?
A. 5
B. 10
C. 15
D. 25

Answers

Answer: its A or B I think its more of B than A

[tex] \rm \int_{0}^2 \left( \sqrt[3]{ {x}^{2} + 2x} + \sqrt{1 + {x}^3 } \right )dx \\ [/tex]​

Answers

If f(x) has an inverse on [a, b], then integrating by parts (take u = f(x) and dv = dx), we can show

[tex]\displaystyle \int_a^b f(x) \, dx = b f(b) - a f(a) - \int_{f(a)}^{f(b)} f^{-1}(x) \, dx[/tex]

Let [tex]f(x) = \sqrt{1 + x^3}[/tex]. Compute the inverse:

[tex]f\left(f^{-1}(x)\right) = \sqrt{1 + f^{-1}(x)^3} = x \implies f^{-1}(x) = \sqrt[3]{x^2-1}[/tex]

and we immediately notice that [tex]f^{-1}(x+1)=\sqrt[3]{x^2+2x}[/tex].

So, we can write the given integral as

[tex]\displaystyle \int_0^2 f^{-1}(x+1) + f(x) \, dx[/tex]

Splitting up terms and replacing [tex]x \to x-1[/tex] in the first integral, we get

[tex]\displaystyle \int_1^3 f^{-1}(x) \, dx + \int_0^2 f(x) \, dx = 2 f(2) - 0 f(0) = 2\times3+0\times1=\boxed{6}[/tex]

Adrianna has $20 in her savings account. Each week she will add $5 to it. Which equation represents this situation?

Answers

y is total amount, x is weeks

we would have
y = 5x + 20

Answer:

Let y = the amount in Adrianna's savings account

Let x = the number of weeks passed

y = 5x + 20

Please solve with explanation

Answers

Try this option, all the details are in the attachment. Note the equation a) is performed with green, the equation b) with red line.

With break green line is the cureve y= -x²; with break red line is y=2x².

Subtract 55 from the sum of 234 and 8

Answers

234+ 8= 242
242-55=187
187 is the answer :)

find the equation (in terms of x) of the line through the points (-4,2) and (3,-5)

Y=

Answers

Answer:   y = -x-2

==================================================

Explanation:

First we need the slope

[tex](x_1,y_1) = (-4,2) \text{ and } (x_2,y_2) = (3,-5)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{-5 - 2}{3 - (-4)}\\\\m = \frac{-5 - 2}{3 + 4}\\\\m = \frac{-7}{7}\\\\m = -1\\\\[/tex]

Then we can find the y intercept using the coordinates of (x,y) = (-4,2)

y = mx+b

2 = -1(-4)+b

2 = 4+b

2-4 = b

-2 = b

b = -2

Alternatively, you can use the other point (x,y) = (3,-5) and m = -1.

Because m = -1 and b = -2, we go from y = mx+b to y = -1x+(-2) which simplifies to y = -x-2

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What is the value of x? A very long straight wire carries a current i in the z direction Kari is on a trip to Italy. She has made a list of cities she would like to tour while she is there, as well as how much she expects it will cost her (between transportation, admission, souvenirs, and so on) to see each one. The prices are listed in either US dollars ($) or euros (). Kari has a budget of $585 set aside for sightseeing. Item Cost Currency Tour of the Vatican 68. 77 Tour of Rome 95. 41 Tour of Naples 71. 06 $ Tour of Venice 113. 38 $ Tour of Milan 49. 69 She would also like to tour Genoa as well, which would cost her 60. 85. If the conversion rate of US dollars to euros at the time of Karis visit is 1:0. 6859, how will this affect her budget? Round all dollar values to the nearest cent. A. Kari can see Genoa and have $60. 33 left in her budget. B. Kari can see Genoa and have $41. 38 left in her budget. C. Kari has almost exactly enough left in her budget to see Genoa. D. Kari cannot afford to see Genoa, because it would put her $84. 48 over budget. A fighter plane is descending at 30 m/s. The pilot ejects, and the ejector seat accelerates him upwards at 120 m/s2 for 2 seconds. What is his velocity at the end of the 2 seconds? Which of the following below is the equation of the quadratic function f(x) with x-intercepts of 0 and -3 for which f(-1)=-2. A. f(x)=-x(x+3), B. f(x)=x(x+3), C. f(x)= x+(x+3), D. f(x)= x(x-3) can someone tell me what is extotion What is the first step when creating a charcoal drawing?A. Draw a surface lineB. Add a cast shadowC. Draw a dark outlineD. Select a viewpoint or photo to draw from What is the measure of each angle of a regular 19-gon? If necessary, round to thenearest tenth. 220 mL of oxygen gas was collected over water. The total pressure of oxygen plus water vapor was 745.8 mmHg at 25.0C. What is the pressure, in mmHg, exerted by only the oxygen gas? heheheheheheehehehehehehhee Why does sylvester stallone have an abandoned home. Select the correct answer. Which two countries contain over one-third of all people on the planet? a. France and albania b. China and india c. United states and canada d. New york and hong kong If 75% of a number is 15, find 15% of that number. how do i solve and graph -5x+2y=10 Adverse Childhood ExperiencesA) Are unavoidableB) Have no impact on biology (although they are unpleasant)C) Have been a primary concern in public health since the 1970sD) Increase the chances of cancer, heart disease, diabetes, kidney problems, and others A right prism has a triangular base. The length of the base is 6 meters and the height of the base is 4 meters. The height of the prism is 4.5 meters. What is the volume of the prism? 45 m 54 m 69 m 108 m Studies show that women in America:O A. tend to think they're heavier than they are.B. can't write well.C. all look like supermodels.O D. think their weight is just right. I DONT KNOW WHAT IS 89090x908 What is one of the central teachings of Daoism?O A. People should always promote social order and stability.O B. People should violently oppose unfair treatment.O C. People should strive to find balance in their lives.O D. People should ask the gods for guidance in difficult times.Please explain why You have 80 grams of tellurium how much will be left after 8 months if its half-life is 2 months?