The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with 145 grams of a
radioactive isotope, how much will be left after 6 half-lives?
Use the calculator provided and round your answer to the nearest gram.

Answer:

The slope of the perpendicular line will 1/3.

Step-by-step explanation:

Answer:

x = 4/3

Step-by-step explanation:

[tex]\frac{4}{3x} + \frac{5}{4} = \frac{3}{x}[/tex]

take lcm of the denominator

lcm = 12x

[tex]\frac{4*4 +5*3x}{12x} = \frac{3}{x}[/tex]

[tex]\frac{16+15x}{12x} = \frac{3}{x}[/tex]

do cross multiplication

x(16 + 15x) = 3*12x

16x + 15x^2 = 36x

15x^2 = 36x - 16x

15x^2 = 20x

x^2 = 20x /15

x*x = 4x/3

x = 4x/3/x

x = 4x/3 *1/x

x = 4x/3x

x = 4/3

Answer:

14201.63

Step-by-step explanation:

14187.63

+   14.50

=14201.63

Answer:

Resultados debajo

Step-by-step explanation:

Dada la siguiente información:

Tasa de interes anual (i)= 4,8%

Inversión inicial (VP)= $1.000.000

Para calcular el valor final (VF), debemos usar la siguiente formula:

VF= VP*(1 + i)^n

Para 5 años:

VF= 1.000.000*(1,048^5)

VF= $1.264.172,72

Para 18 años:

VF= 1.000.000*(1,048^18)

VF= $2.325.429,02

Answer:

41/30

Step-by-step explanation:

4/5 ---> 24/30

1/10 ---> 3/30

2/3 ---> 20/30

(24/30 - 3/30) + 20/30 =

21/30 + 20/30 =

41/30

Answer:

y=-2/7x-2

Step-by-step explanation:

Just move the 2x to the other side, then divide both sides by 7.

Answer:

8.8%

Step-by-step explanation:

We first divide the new amount by the original and close it with brackets.

Our one year will be shown as 1/1 as an indices

(761.60/700)^1/1

= 1.088

We then convert it to 0.088 and times it by 100.

0.088×100= 8.8% Compound interest rate.

This is correct as:

700×1.088= 761.6

Have a nice day! :)

Answer:

In slope-intercept form:

[tex]\displaystyle y=\frac{2}{3}x+1[/tex]

Or, in standard form:

[tex]2x-3y=-3[/tex]

Step-by-step explanation:

We want to find the equation of the line that passes through the point (6, 5) and is perpendicular to the line whose equation is:

[tex]2y+3x=6[/tex]

Since the new line is perpendicular, its slope and the slope of the first equation will be negative reciprocals of each other.

So, find the slope of the first equation. Subtract 3x from both sides:

[tex]2y=-3x+6[/tex]

And divide both sides by two:

[tex]\displaystyle y=-\frac{3}{2}x+3[/tex]

So, the slope of the first equation is -3/2.

The slope of the new line is its negative reciprocal. So, the slope of the perpendicular line is 2/3.

Next, we also know that it passes through the piont (6, 5). We can use the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

Where m is the slope and (x₁, y₁) is a point.

Substitute:

[tex]\displaystyle y-(5)=\frac{2}{3}\left(x-6\right)[/tex]

And we have our equation!

If desired, we can simplify it into slope-intercept form:

[tex]\displaystyle \begin{aligned} y-5&=\frac{2}{3}x-4\\\\y&=\frac{2}{3}x+1\end{aligned}[/tex]

Or, into standard form:

[tex]\displaystyle \begin{aligned} y&=\frac{2}{3}x+1\\\\3y&=2x+3\\\\ 2x-3y&=-3\end{aligned}[/tex]

Answer:

I think it is of the last option

Answer:

15×5 =75

Step-by-step explanation:

1 inch reprsnt 5

D. 7

Hope this helps! :)

______________

Answer:

The cube root of 343 is 7.

Answer:

so 6+30=36

we can use the distributive property

36-6=30

36-30=6

Hope This Helps!!!

Answer:

X=120

Step-by-step explanation:

It is an equalateral so all the angles in the middle are the same all being 60

The angle of a straight line is 180

So just minus 60 from 180 to get 120

180-60=120

Answer:

who is the captain of the football team

Step-by-step explanation:

i might be wrong i havent taken a class that neads this, but all the others need a bunch of values from a group of people. this is just asking who someone is

Answer:

X=5

x=y2+9

x2=y

x2=y2+16

Step-by-step explanation:

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

Answer:

the marks obtained by a girl in percentage is 81. 25%

Answer:

81.25%

Step-by-step explanation:

100 (65/80)

Answer: D. 3x +28 > 52

Step-by-step explanation:

Based on the information given, the inequality that Maria can use to find how many more bracelets she needs to sell to make more money than she spent on supplies will be calculated thus:

With the question above, the total sales must be greater than the amount spent on supplies. Let the number of bracelets that needs to be sold be represented by x.

Therefore, (3 × x) + 28 > 52

= 3x + 28 > 52.

We can calculate further

3x > 52 - 28

3x > 24

x > 24/3

x > 8

Therefore, 9 or more bracelets needs to be sold since x is greater than 8.

Therefore, the correct option is D 3x +28 > 52

Answer:

D. 3x + 28 > 52

Step-by-step explanation:

Answer:

Step-by-step explanation:

We could use the Law of Sines if we only knew what angle A was. It just so happens that by the Triangle Angle-Sum Theorem, angle A is equal to

180 - B - C. Therefore,

angle A = 180 - 11 - 75 so

angle A = 94. And the Law of Sines is

[tex]\frac{sin94}{a}=\frac{sin11}{600}[/tex] and cross multiply to get

600sin94 = asin11 and solve for a:

[tex]a=\frac{600sin94}{sin11}[/tex] gives you that

a = 3136.85

Answer:

47 ft

Step-by-step explanation:

3.14 x 15

Q. Determine if the rates are equilvalent. Explain your reasoning. 25 hours in 5 days; 8 hours in 2 days. . .

[tex] \dashrightarrow [/tex] No!, as, we have 25 hours in 5 dyas is the equals to 5. While, 8 hours in 2 days is equals to 4.

Here, is a difference of 1 in 5 and 4.

Answer:

D

Step-by-step explanation:

there is zero chance of it happening

Answer:

108.56

Step-by-step explanation:

First find the amount of the tip

92 * 18%

92 * .18

16.56

Add this to the amount of the bill

92+16.56

108.56

Answer:

108.56

Step-by-step explanation:

92$ + .18*92 = 108.56$

Answer:

the answer is 9 divided by 1

Answer:

(0.5,3)

Step-by-step explanation:

Hi there!

We are given a line that has the endpoints of (5,9) and (-4,-3); we need to find the midpoint of the line.

The midpoint formula is given as ([tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2}}{2}[/tex]), where [tex]x_{1}[/tex], [tex]x_{2}[/tex], [tex]y_{1}[/tex], and [tex]y_{2}[/tex] are values of coordinate points

to avoid any confusion, we can label the values of the coordinates and then substitute them into the formula to find the midpoint

[tex]x_{1}[/tex]=5

[tex]y_{1}[/tex]=9

[tex]x_{2}[/tex]=-4

[tex]y_{2}[/tex]=-3

now substitute into the formula

so to find the value x in the midpoint, we'll use this part of the formula: [tex]\frac{x_{1}+x_{2} }{2}[/tex]

substitute 5 and -4 into the formula

[tex]\frac{5+-4}{2}[/tex]

do the addition on the numerator

[tex]\frac{1}{2}[/tex] or 0.5

now let's find the value of y in the midpoint. we'll use this part of the formula: [tex]\frac{y_{1}+y_{2}}{2}[/tex]

substitute 9 and -3 into the formula

[tex]\frac{9+-3}{2}[/tex]

do the addition on the numerator

[tex]\frac{6}{2}[/tex] or 3

Therefore the midpoint is (0.5,3)

Hope this helps! :)

Answer:

The perimeter is 36.2 units.

Step-by-step explanation:

M (4,4), N (5,-7) and O (-6,-6)

The distance formula is

[tex]d =\sqrt{(x''-x')^2 + (y''-y')^2}\\\\MN =\sqrt{(5 -4)^2 + (- 7 - 4)^2}\\\\MN = 11.05 \\\\MO =\sqrt{(-6 -4)^2 + (- 6 - 4)^2}\\\\MO = 14.14\\\\ON =\sqrt{(-6-5)^2 + (- 6 + 7)^2}\\\\ON = 11.05[/tex]

The perimeter is given by

P = MN + NO + MO

P  = 11.05 + 14.14 + 11.05 = 36.24 units  

Answer:

2 whole pieces

5/24 feet left

Step-by-step explanation:

divide 5/6 by 5/16 = 2 2/3 pieces

so there are 2 whole pieces and 2/3 small piece.

The 2/3 small short equals to 5/16 x 2/3 = 5/24 ft

Answer:

B

Step-by-step explanation:

When x=1, we will use the second equation

-(1)+1 = 0