The half-life of radium is 1690 years. If 90 grams are present now, how much will be present in 400 years?

Answers

Answer 1

Answer:

76.38 g

Step-by-step explanation:

Below expresion can be used in calculating the remaining amount of radium

A(t)=A(0) (1/2)^(t/h)

Let A(t)=the remaining amount of radium

Let A(0)= amount of radium at the beginning= 90 grams

t= amount of time in years= 400 years

h=the half-life time= 1690 years

A(t)=A(0) (1/2)^(t/h)

If we substitute the values into the expresion we have

A(t) = 90 × (1/2)^(400/1690)

A(t)= 76.38 g


Related Questions

How do you factor a quadratic equation completely?

Answers

Answer:

A Method For Simple Cases

Step 1: Find two numbers that multiply to give ac (in other words a times c), and add to give b.

Step 2: Rewrite the middle with those numbers:

Step 3: Factor the first two and last two terms separately:

Step-by-step explanation:

PLEASE HELP DUE AT MIDNIGHT!

Answers

Answer:

D or A i think

Step-by-step explanation:

pls mark brainliest

Answer:

B. Angle 2 and Angle 7 are alternate interior angles.

Step-by-step explanation:

Angle 2 and Angle 7 are actually alternate exterior angles. They are on opposite sides of the transversal and so the "alternate" part is correct, however, alternate interior angles are ones on the inside of the transversal, like angles 4 and 5.

write a polynomial function in standard form with zeros at -1 -4 and 2

Pleasee PLEASE PLEASE SOMEONE HELP ME​

Answers

Answer:

y= x^3+3x^2-6x-8

Step-by-step explanation:

The measure of one interior angle of a parallelogram is 5 times the measure
of another angle. What's the measurement of the larger interior angle?

Answers

Answer:

Step-by-step explanation:

The sum of these adjacent angles must sum to 180 degrees (also the sum of all angles must be 360)

a+5a=180

6a=180

a=30

The larger angle is 5a so the larger angle is

5(30)=150 degrees.

what is 3248x9853 plezzzzzzzzzzz

Answers

Answer: 32002544

Step-by-step explanation:

Maggie has $16 to spend on lunch for the week. she has spent $4 so far. which inequality shows how much she can spend for the rest of the week?

Answers

She can spend less than or equal to $12

What is the scale factor of the dilation from A to B?

Answers

Answer:

1

Step-by-step explanation:

The scale factor of the dilation from A to B  is, 1.67

What is the scale factor ?

Scale factor is a mathematical term, which we use to scale 2-dimensional and 3-dimensional shapes. Scale factor is a measure of similar figures. Those figures who look the same but are in different sizes.

For example, Two spheres look similar but could have different radii.

Given that,

Two parallelograms

A & B

First one has side length = 4.5 unit

Second one has side length = 7.5 unit

For calculating scale factor, we need to found ratio of two sides length

Scale factor  =  7.5/4.5

                     =  1.66666

Hence, the scale factor is 1.67

To know more about Scale factor check:

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Solve 3x - y = 3 and 2x - y = 2 by substitution method

Answers

Answer:

x = 1

y = 0

Step-by-step explanation:

3x - y = 3

2x - y = 2 , then y = 2x - 2

substitute for y:

3x - (2x - 2) = 3

combine like terms:

x + 2 = 3

subtract 2 from both sides of the equation:

x = 1

y = 2(1) - 2 = 0

Answer:

x=5, y=8

Step-by-step explanation:

let 3x-y=3 be [1]

and 2x-y = 2 be [2]

Change up [2] to:

2x=2+y

2x-2 = y and name this [3]

Sub [3] into [1]

3x-(2x-2)=3

3x-2x-2=3

x-2=3

x=5

Sub x=5 into [3]

2(5)-2=y

10-2=y

8=y

20 POINTS!!!!!!!!! pls answer asap

Answers

Answer:

FD = 26

Step-by-step explanation:

CD = ED --- (secant property)

so, ==>>

13x - 16 = 4x + 11

13x - 4x = 11 + 16

9x = 27

x = 27÷9

x = 3

side ED = 4x + 11 = 4×3 + 11

side ED = 23

side FE = 12

ΔFED = 90° ...... (tangent secant property)

so.........

FE² + ED² = FD² ......... ( by pythagoras theorm)

12² + 23² = FD²

144 + 529 = FD²

673 = FD²

673 = FD

26 = FD

Answer:

26

Step-by-step explanation:

find l of the following cone ​

Answers

Answer:

[tex] l = \sqrt{261}\: in[/tex]

Step-by-step explanation:

Height of the cone h = 15 in

Radius of the cone r = 12/2 = 6 in

We need to find slant height (l) =?

[tex] \because l = \sqrt{ {r}^{2} + {h}^{2} } \\ \\ \therefore l = \sqrt{ {6}^{2} + {15}^{2} } \\ \\\therefore l = \sqrt{36 + 225} \\ \\\therefore l = \sqrt{261} \\ [/tex]

Answer:

l = √261 in

Step-by-step explanation:

Hope this helps

Venita is sewing new curtains. The table below shows the relationship between the number of stitches in a row and the length of the row.

Sewing
Number of stitches
Length (cm)
5
1
15
3
20
4
30
6

What is the relationship between the number of stitches and the length?

Answers

5:1
5 stitches will be in a 1 cm row

Answer:

The number of stitches is 5 times the length.

Step-by-step explanation: i took edge

Square Areas

The dots on the grid are all one unit apart.

1. The square shown here can be described

as a 3/5 square. Find its area.

.

Show all your reasoning

Answers

Answer:

The area will be "34 unit²".

Step-by-step explanation:

The diagram is missing throughout the given question. Below is the figure attached.

According to the question,

The side of squares will be:

=  [tex]\sqrt{(5)^2+(3)^2}[/tex]

=  [tex]\sqrt{25+9}[/tex]

=  [tex]\sqrt{34} \ units[/tex]

Hence,

The area of square will be:

=  [tex](side)^2[/tex]

=  [tex](\sqrt{34} )^2[/tex]

=  [tex]34 \ unit^2[/tex]

A coat is on sale for 30% off the original price of 120$.what is the amount of discount

Answers

Answer:

36

Step-by-step explanation:

You do 120 multiplied by .3 to get 36. This makes the discount amount is $36 which also means you only pay $84 for the coat.

What is the area of the following trapezoid? 14 mm 10 mm 28 mm 210 mm 2 280 mm 2 O 420 mm 2 O 140 mm 2​

Answers

Answer:

210 mm2

Step-by-step explanation:

you add both the bases and then height ;)

PLEASE HELP ASAP

An isosceles trapezoid has an area of 25 square units and a height of 5 units. Find the sum of the bases of the trapezoid.

Complete your work in the space provided.

Answers

Answer:

5 units because 5 times 5 is 25

What is an
equation of the line that passes through the points (-4,-4) and (4, 6)?

Answers

Answer:

Step-by-step explanation:

1.) Find the slope

[tex]\frac{y_2-y_1}{x_2-x_1} = \frac{6-(-4)}{4-(-4)}= \frac{6+4}{4+4} = \frac{10}{8}=\frac{5}4}[/tex] = m

2.) Use the  slope-point form for a line

[tex]y-y_0=m(x-x_0)[/tex]

Pick any point (-4,-4) or (4,6) into [tex]y_0 and x_0\\[/tex]

but your equation is y= 5/4x+1

I WILL GIVE BRANLIEST HELP FAST DUE IN 10 MINS 56yx^3-32yx+16y

Answers

Answer:

8y(7x^3-4x+2)

Step-by-step explanation:

Group and factor out the greastest common factor then combine

Answer:

this is my alt here ya go champ

Step-by-step explanation:

describe the following number patterns in your own words and state the constant difference or constant ratio if there is one​

Answers

Step-by-step explanation:

awq-pzcq-mje

girls

come

to

see

my

22cm

sperm

fast

girl

An item is regularly priced at $80 Barbado add a discount of 25% off the regular price how much did Bob pay

Answers

Answer: $60

Step-by-step explanation:

Given

The price of an item is $80

The discount on it is 25%

Net payable price =Regular Price- discount

[tex]\Rightarrow \text{Net Payable Price(P)}=80-25\%\ \text{of}\ 80\\\Rightarrow P=80(1-0.25)=80\times 0.75\\\Rightarrow P=\$60[/tex]

PLEASE HELP! QUICK EASY POINTS!! LOOK AT THE IMAGE!

Answers

the answer should be 0.2 and 11.8 :) i hope this helps!

Answer:

0.2 and 11.8

Step-by-step explanation:

Jess has 60 ounces of an alloy that is 40% gold. How many ounces of pure gold must be added to this alloy to create a new alloy that is 75% gold?

Answers

Answer:

84 ounces of pure gold

Step-by-step explanation:

Jess has 60 ounces of an alloy that is 40% gold. How many ounces of pure gold must be added to this alloy to create a new alloy that is 75% gold?

Pure gold = 100% gold

Let the number of ounces of pure gold = x

Hence, we have the equation

40% × 60 ounces + 100%× x ounces = 75%(60 + x)ounces

= 0.4 × 60 + 1x = 0.75(60 + x)

= 24 + x = 45 + 0.75x

Collect like terms

x - 0.75x = 45 - 24

0.25x = 21

x = 21/0.25

x = 84 ounces

Therefore, we need 84 ounces of pure gold

84 ounces of pure gold must be added

The first is to write out the parameters

Jess has 60 ounces of alloy

40% of this alloy is pure gold

The number of ounces that should be added can be calculated as follows;

Let y represent the unknown

40/100(y)(60) + 100/100(y)= 75/100(60+y)

24 + y= 0.75(60+y)

25 + y= 45 + 0.75y

24 - 45= 0.75y -y

-21= -0.25y

y= 21/0.25

y= 84

Hence the number of ounces of pure gold required is 84 ounces

Please see the link below for more information

https://brainly.com/question/3922146?referrer=searchResults

Please Help!!!!!! You have twice as many nickels as pennies. you have $1.10. how many of each coin do you have? Solve each problem using a system of equations.

Answers

There are 20 nickels and 10 pennies.

20 cents x 5 is $1.00 and 10 cents x 1 is 10 cents so it is $1.10 because a nickel is 5 cents so 20x5 is a dollar and a penny is worth 1 cent and 10 pennies is 10 cents so $1.00+$0.10=$1.10 brainliest is appreciated! :)

Select the correct answer from the drop-down menu. A line with a slope of -2 crosses the y-axis at (0, 3). The equation of the line is . A. -3x + y = 3, B. 3x + y = 2 C. 2x + y = 3 D. 2x + y = 2

Answers

The answer is B.3x+y=2
Explanation: When graph A has the crosses on the y axis(0,3) but it doesn’t have a slope of -2 since it run from left to right. But B tun from right to left making it negative.
Can u give me brainliest please? I would appreciate it and I hope this helps.

The temperature at 6 a.m. was -12°F. At 11 a.m. the temperature was 0°F. Which of the following shows the temperature change from 6 a.m. to 11 a.m.?

Answers

Answer:7 - 9 = -2

Step-by-step explanation:

Write the equation of the line graphed below.

Answers

Answer:

x=1

Step-by-step explanation:

Ken wants to buy two shirts. The original price of the first shirt is $34, and the original price of the second shirt is $28. Ken will use one of the two discount coupons shown to buy the shirts. Coupon 1 Coupon 2 Buy one shirt at the original price and receive half off the price of a second shirt of equal or lesser value. Take 20% off the original price of each shirt, Based on this information, which statement is true?​

Answers

78 with coupons for the answer!

4. Asia is designing a triangular-shaped window with a height of 15 inches and

an area of 135 square inches. What is the length of the base of the window?

Answers

Answer:

18in

Step-by-step explanation:

Given data

Height h= 15 in

Area= 135 in^2

The expression for the area is given as

Area= 1/2 Base * Height

substitute

135= 1/2* Base*15

135= 7.5 Base

Base= 135/7.5

Base=  18 in

Hence the base is 18in

Find the slope of the line graphed

Answers

Answer:

I believe it is 2

rise and run concept

(Someone help please)

Put these numbers in order, from least to greatest.

3.5

-1

4.8

-1.5

-0.5

-4.2

0.5

-2.1

-3.5

Answers

Answer:

-4.2,-3.5,-2.1,-1.5,-1,-0.5,0.5,3.5,4.8

Answer:

0.5, 3.5, 4.8, -0.5, -1, -1.5, -2.1, -3.5, -4.2

Step-by-step explanation:

hope this helps :)

Tell whether the lines through the given points are parallelperpendicular, or neither Line 1: (1, 0), (7, 4) Line 2: (7, 0) , (3, 6) The slope of line 1 is The slope of line 2 is

Answers

Answer:

The lines are perpendicular

Step-by-step explanation:

We determine whether lines are parallel or perpendicular by getting their slopes

For line 1; (1, 0), (7, 4)

Slope m = 4-0/7-1

M1 = 4/6

M1 = 2/3

Hence the slope of M1 is 2/3

For Line 2; (7, 0) , (3, 6)

M2 = 6-0/3-7

M2 = 6/-4

M2 = -3/2

Take the product of the slopes

M1 * M2 = 2/3 * -3/2

M1M2 = -1

Since the product of their slope is -1, hence the lines are perpendicular

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