Cesium-137 has a half-life of 30 years. Find the
amount of cesium-137 left from a 100 milligram
sample after 180 years.

Answer:

480. Since each one is 120 and there are 4 of them then its 120*4

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

base×height÷2=area

2×8÷2=8

Answer:

u = 5

Step-by-step explanation:

[tex]\frac{u + 7}{15} = \frac{4}{5}[/tex]

We want to solve for u. This means we need to isolate u on one side of the equation.

To do this, first multiply both sides by 15. This will cancel out the denominator on the left side.

[tex]u + 7 = (\frac{4}{5})(\frac{15}{1})[/tex]

Multiply the numerators and denominators separately.

4 • 15 = 60

5 • 1 = 5

[tex]u + 7 = \frac{60}{5}[/tex]

Simplify the fraction.

60 ÷ 5 = 12

u + 7 = 12

Subtract 7 from both sides.

u = 5

Check your work by plugging u = 5 back into the original equation.

[tex]\frac{5 + 7}{15} = \frac{4}{5}[/tex]

[tex]\frac{12}{15} = \frac{4}{5}[/tex]

[tex]0.8 = 0.8[/tex]

Your answer is correct.

Hope this helps!

Answer:

5 is your answer for u.

Step-by-step explanation:

Note the equal sign, what you do to one side of the equation, you do to the other.

First, multiply 15 and 5 to both sides of the equation (to get rid of the denominators):

[tex]15 * 5 * (\frac{u + 7}{15}) = (\frac{4}{5}) * 5 * 15\\5 * (u + 7) = 4 * 15[/tex]

First, distribute the 5 to all terms within the parenthesis. Also, simplify the right side by multiplying:

[tex]5 * (u + 7) = 4 * 15\\(5 * u) + (5 * 7) = (4 * 15)\\5u + 35 = 60[/tex]

Next, isolate the variable, u. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, subtract 35 from both sides, and then divide by 5 to isolate the variable, u:

[tex]5u + 35 = 60\\5u + 35 (-35) = 60 (-35)\\5u = 60 - 35\\5u = 25\\\\\\\frac{5u}{5} = \frac{25}{5} \\u = \frac{25}{5} = 5\\u = 5[/tex]

Answer:

The peach will way more then the apple

Hope this helps you ☜(ﾟヮﾟ☜)

The weight of the peach is greater than the weight of apple

In order to translate measurements of a particular amount between different units, a mathematical conversion factor is usually used. This modifies the measurement of the quantity without altering its effects.

The particular circumstances or the intended result control the conversion process. This may be governed by law, a contract, a list of technical specifications, or other publicly available standards.

A precise conversion from one system to another is necessary for some measures in order to maintain the precision of both the original measurement and the conversion.

Based on the connection between a particular pair of original units and a particular pair of target units, each conversion factor is chosen.

Given data ,

Let the weight of apple be = 85,000 milligrams

And , let the weight of the peach be = 0.15 grams

Now , from the unit conversion

1 gram = 1000 milligrams

And , 1 kilogram = 1000 grams

So , the weight of apple A = 85 grams

And , the weight of the peach P = 150 grams

Therefore , P > A

Hence , weight of peach is larger

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Answer:

it is D ithought sinse for x=0 y=0 and for x=4 y=-2 (-1/2 x4 =-2 )and others didnot give correct nbs

Answer:

C. They are equal

Step-by-step explanation:

Both have the same volume 24

Both Figure have same Volume.

Every three-dimensional item requires some amount of space. The volume of this space is measured. Volume is defined as the space occupied by an object inside the confines of three-dimensional space. It is also known as the object's capacity.

We have,

Cone:

Volume of Cone = 1/3 πr²h

                            = 1/3 (3.14)(3)²8

                            = 75.36 unit³

Cylinder:

Volume of Cylinder = πr²h

                                = (3.14)(2)²6

                                = 75.36 unit³

Thus, Both figures have Equal volume.

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Answer:

the common difference is = 7

Step-by-step explanation:

1st term is 13

2nd term is 20

d = 2nd -1st

d= 20-13

d= 7

Answer:

Yes . It is arithmetic & the common difference of them is 7 .

Step-by-step explanation:

Hope this helps ;)

the answer to the equation is x=15

Answer:

77 approx

Step-by-step explanation:

Given data

Number of customers talked to per hour= 8

Hence for 8 hours(a day) the number of customers talked to = 8*8= 64

We want to first find 20% of 64

=20/100*64

=0.2*64

=12.8

Hence the number of customers will be

=12.8+64

=76.8

=77 approx

Answer:

7x=28

x = 4

x/9=3

x = 27

5x=125

x = 25

14=x÷2

x = 28

8x=40

x = 5

Answer:

Scale Factor:1/3

A(-6,0)->A'(-2,0)

B(-3,-3)->B'(-1,-1)

C(-9,-6)->C'(-3,-2)

This scale factor is reduced

Scale Factor:2

A(-6,0)->A'(-12,0)

B(-3,-3)->B'(-6,-6)

C(-9,-6)->C'(-18,-12)

This scale factor is enlarged

Answer:

at 99%, Confidence interval is ( 2.716, 3.285 )

( 2.716 < μ < 3.285 )

Step-by-step explanation:

Given the data in the question;

sample size n = 8

mean x' = 3.0

standard deviation σ = 0.23

To calculate the confidence interval, we use the following expression;

x' ± [tex]t_{\alpha /2, df[/tex]( σ/√n) ------- let this be equation

now, at 99% confidence interval;

∝ = 1 - 99% = 1 - 0.99 = 0.01

degree of freedom df = n - 1 = 8 - 1 = 7

hence t-critical value = 3.499

in equation 1, we substitute in our values;

⇒ 3.0 ± 3.499( 0.23/√8  )

⇒ 3.0 ± 0.2845

⇒ 3.0 - 0.2845, 3.0 + 0.2845

⇒ ( 2.7155, 3.2845 )

Therefore at 99%, Confidence interval is ( 2.716, 3.285 )

( 2.716 < μ < 3.285 )

Answer:

16pieces

Step-by-step explanation:

We can find the number of pieces is the amount steve make is $256

If steve makes $256, then f(x) = 256

Substitute into the formula and find x

256 = 16x

Swap

16x = 256

Divide both sides by 16

16x/16 = 256/16

x = 16

Hence the number of jewelry sold is 16pieces

Answer:

Total saving from First Store = $ 1.5 + $ 5 = $ 6.5

Total saving from Second Store = $ 5

Step-by-step explanation:

Given - Jason can buy a bag of dog food for $25 at two different stores. One store offers 6% cash back on the purchase plus $5 off his next purchase. The other store offers 20% cash back.

To find - (a)  Calculate the total savings from the first store, including the savings on the next purchase.  

              (b) Calculate the total savings from the second store.

Proof -

Given that,

Total cashback Jason get from First Store = 25×6% = 25×0.06 = $ 1.5

So,

Total saving from First Store = $ 1.5 + $ 5 = $ 6.5

Now,

Total cashback Jason get from Second Store = 25×20% = 25×0.20 = $ 5

So,

Total saving from Second Store = $ 5

Answer:

rectangular prism

Step-by-step explanation:

maybeeee

sorry if it wrong :l

Answer:

Fixed cost $14 -350 messages

variable $ 0.25 each message i think

Step-by-step explanation:

Answer:

$488778

Step-by-step explanation:

For a for interest is;

i = PRT/100

Where;

R is rate

P is Principal

T is time

i is interest

We are given;

R = 12.5% = 0.125.

T = 146 days = (146/364) = 0.4011

i = $245

Thus;

245 = (P × 0.125 × 0.4011)/100

Thus;

P = (245 × 100)/(O.125 × 0.401)

P = $488778

Answer:

Wins _16____. Losses _12____.

Step-by-step explanation:

Since they played 24 games, the wins and losses must add to 24.

Wins     losses

24           0

23           1

22           2

21            3

20           4

19            5

18           6

17            7

16            8            

15            9

14            10

13            11

12           12

11            13

10           14

9           15

They won 4 more than they lost is 16 W and 12 L.

Answer:

b

Step-by-step explanation:

:)

Answer:

P

t

​

=119241.6675≈119242

Step-by-step explanation:

Answer:

8/10--> 2/10 20 % scnahce of not makin git

Step-by-step explanation:

Answer:

25 and 36

Step-by-step explanation:

5×5 < 35 < 6×6

25 < 35 < 36

I hope it helps you. If it helps don't forget to like and mark me

Answer:

81

Step-by-step explanation:

trust me its correct

Answer:

C. 81

Step-by-step explanation:

Just took the test the person is correct

Your choices are all correct.

Numerator: x ² + 2x - 3 = (x + 3) (x - 1)

Denominator: x ² + 4x - 5 = (x + 5) (x - 1)

Common factor: x - 1

Then

lim [x → 3] (x ² + 2x - 3) / (x ² + 4x - 5)

= lim [x → 3] (x + 3) / (x + 5)

= (3 + 3) / (3 + 5)

= 6/8 = 3/4

Answer:

ANSWERS:

1. C

2. D

3. B

4. A

Step-by-step explanation:

Answer:

.. .. .. .. .. .... . ..

Step-by-step explanation:

... .... .. .. ..

Answer:

36 is 12% of 300.

Step-by-step explanation:

Hopw this helped. Have an Amazing Day, Evening, or Night! : )

9514 1404 393

Answer:

  1a. E = 5×1.59^t

  1b. 32 GWh

  1c. 1986

Step-by-step explanation:

1a. An exponential model looks like

  f(t) = a·b^t

where 'a' is the value when t=0, and 'b' is the growth factor in the time period associated with t.

Here, 'a' is 5 (GWh), and 'b' is 1+59% = 1.59. Then the desired model is ...

  E = 5·1.59^t . . . . . where t is years after 1980, and E is in GWh.

__

1b. For t=4, we have ...

  E = 5·1.59^4 ≈ 31.96 ≈ 32

About 32 GWh was generated in 1984.

__

1c. The value of t for a given value of E is ...

  E/5 = 1.59^t . . . . divide by 5

  log(E/5) = t·log(1.59) . . . . take logarithms

  t = log(E/5)/log(1.59) . . . . divide by the coefficient of t

For E = 80, the years after 1980 are ...

  t = log(80/5)/log(1.59) ≈ 5.98

About 80 GWh were generated in 1986.

Answer:

x = 12 radical 2 ithink these is ansewer

Answer: E ( (17)(50)/88 )

Step-by-step explanation:

(Row total * column total) / table total

Answer:

37  smallest number

Step-by-step explanation:

If your integer is x

The next 5 odd integers are:

x+2

x+4

x+6

x+8

x+10

x+x+2+x+4+x+6+x+8+x+10=252

6x+30=252

6x=252-30

6x=222

x=222/6

x=37