Please help! thank you!

Step-by-step explanation:

s1 = 1200 g

s2 = 1200×2^(-1/22)

s3 = 1200×2^(-2/22)

...

s23 (22 years later) = 1200×2^-22/22 ≈ 1200×2^-1 = 1200/2

sn = 1200×2^(-(n-1)/22)

what is the n, so that the result is 800 g ?

800 = 1200×2^(-(n-1)/22)

800/1200 = 2^(-(n-1)/22)

2/3 = 2^(-(n-1)/22)

log2(2/3) = -(n-1)/22

22×log2(2/3) = -(n - 1) = -n + 1

n = -22×log2(2/3) + 1 = 13.86917502...

since we stared counting with n=1 for the starting quantity, the number of years is truly 1 less than n (s2 is after 1 year, s3 after 2 years ...).

so, we know for n = 13.86917502..., that in fact

12.86917502... ≈ 12.9 years have passed until the mass of the sample reached 800g.

The quotient of the start fraction 7 superscript 7 negative 6 over 7 squared end fractions is,

[tex]\dfrac{1}{7^8}[/tex]

Quotient is the resultant number which is obtained by dividing a number with another. Let a number a is divided by number b. Then the quotient of these two number will be,

[tex]q=\dfrac{a}{b}[/tex]

Here, (a, b) are the real numbers.

The number given in the problem is,

[tex]\dfrac{7^{-6}}{7^2}[/tex]

Let the quotient of these number is n. Therefore,

[tex]n=\dfrac{7^{-6}}{7^2}\\[/tex]

Now if the power of numerator is negative, then it can be written in denominator with positive power of the same number. Therefore, the above equation written as,

[tex]n=\dfrac{1}{7^2\times7^{6}}\\n=\dfrac{1}{7^{2+6}}\\n=\dfrac{1}{7^8}[/tex]

Hence, the quotient of the start fraction 7 superscript 7 negative 6 over 7 squared end fractions is,

[tex]\dfrac{1}{7^8}[/tex]

Learn more about the quotient here;

https://brainly.com/question/673545

Answer:

It would be A. [tex]\frac{1}{7^{8} }[/tex].

Step-by-step explanation:

Hope this helps!

The ratio which best defines relative frequency is, number of times an event occurs:Total number of times an experiment is performed.

Relative frequency of a event is the measure of something happens relative to the total outcomes of that event.

The relative frequency can be given as,

[tex]f_r=\dfrac{f}{n}[/tex]

Here, (f) is the frequency of the number of times data occurred in an event and (n) is the total number of outcomes.

The relative frequency can also be defined as, it is the ratio of subgroup frequency to the total frequency of any event.

Now, the ratio has to be find out which best defines relative frequency. Lets check options,

Hence, the ratio which best defines relative frequency is, number of times an event occurs:Total number of times an experiment is performed.

Learn more about the relative frequency here;

https://brainly.com/question/3857836





Answer:

To sum out whatever they said the answer is D

Step-by-step explanation:

All credit to the guy on top

Answer:

y = 4x + 30

Step-by-step explanation:

The startup fee is $30 and must be paid before you begin.  This means that 30 in the y-intercept.  You pay $30 at 0 months.  Then you have to pay $4 every month after that.  This means that 4 is the slope.  So, after x months, the total amount you have paid, y, is  

y = 4x + 30

Hope this helps Love  :)

Answer:

h = 6.71

Step-by-step explanation:

6^2 + b^2 = 9^2

36 + b^2 = 81

36 - 36 = 0

81 - 36 = 45

b^2 = 45

square root of 45

b = 6.71

Answer:

5

Step-by-step explanation:

Container volume = 2 1/2 liters

Bottle volume = 1/2 liters

No. of bottles = Container vol. / Bottle vol.

= 2 1/2 / 1/2

= 5/2 / 1/2

= 5

2.5 divided by 1/2=5

5 lemonade bottles

Answer:

B. (1, -3/2)

Step-by-step explanation:

Midpoint formula: (x₁ + x₂)/2, (y₁ + y₂)/2

Answer:

2(2x-3)

Step-by-step explanation:

Answer:

[tex]\boxed{\sf{m=\frac{4}{5}}}[/tex]

Step-by-step explanation:

In order to solve this problem, we will use the slope.

Slope:

[tex]\sf\dfrac{Y_2-Y_1}{x_2-x_1}=\dfrac{rise}{run}[/tex]

y2=(-6)

y1=(-2)

x2=2

x1=7

Solve the problem by rewriting it down.

[tex]\sf{\dfrac{(-6)-(-2)}{2-7} }=\dfrac{(-6)+2}{2-7}=\boxed{\dfrac{4}{5} }[/tex]

m=4/5

Therefore, the slope is 4/5.

I hope this helps! Feel free to correct me if I am wrong.

Ratio remains same

[tex]\\ \rm\Rrightarrow \dfrac{x}{3.2}=\dfrac{2}{4}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{x}{3.2}=\dfrac{1}{2}[/tex]

[tex]\\ \rm\Rrightarrow x=3.2/2[/tex]

[tex]\\ \rm\Rrightarrow x=1.6[/tex]

Answer:

  y = x - 8

Step-by-step explanation:

You want an equation for the line through the points (8, 0) and (3, -5).

The slope of the line can be found using the formula ...

  m = (y2 -y1)/(x2 -x1)

  m = (-5 -0)/(3 -8) = -5/-5 = 1

The y-intercept can be found from the equation ...

  b = y1 -m(x1)

  b = 0 -1(8) = -8

The slope-intercept equation of the line is ...

  y = mx +b

  y = 1·x +(-8)

  y = x -8 . . . . . an equation for the line

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Answer:

0.945×10^2 is the answer to the question given

Answer:

the answer is b it's the most accurate of them all

Answer:

Step-by-step explanation:

Range = Maximum value - minimum value

          = 69 - 13

           = 56

Answer:

The major axis of the ellipse has length = the larger of 2a or 2b and the minor axis has length = the smaller. By the way: if a=b , then the "ellipse" is a circle.

Answer:

5÷98=98/5 or.. 19 3/5

2÷72=1/36

9÷58=9/58

7÷82=7/82

Step-by-step explanation:

hope this helped!!<3

Answer:

39 ft^2

Step-by-step explanation:

To find surface area you add up the all the areas of the shapes.

Triangle:

5x3=15

15/2= 7.5

Since there are 4 triangles its 7.5x4 which is 30.

Square:

3x3=9

7.5+7.5+7.5+7.5+9 or 30+9= 39

39 ft squared.

Answer:

3.75

Step-by-step explanation:

12 - 33/4

= 3.75

Answer:

<---------------------------------------------------------------------------------------------------------->

   10          20         30        40        50        60         70         80        90        100

                                                                         ×--×-×-----×-----×

Answer:

640 gram 8 rolls

Step-by-step explanation:

2000 ÷ 25 = 80 gram 1 roll

80 × 8 = 640 gram 8 rolls

Please give me brainliest;)

Answer:

an abolitionist

Step-by-step explanation:

a person who favors the abolition of a practice or institution, especially capital punishment or

Answer: D An Abolitionist

Step-by-step explanation:

a person who favors the abolition of a practice or institution, especially capital punishment or (formerly) slavery

pls give me brainlest <3

Answer:

y=-5/14x+3/7

Step-by-step explanation:

Cause i did the math and y=-5/14x+3/7 is the answer

y= −5/14x + 3/7

^^ Good luck.

Answer:

15

Step-by-step explanation:

Answer:

you can give the other person brainiest

Step-by-step explanation:

Answer: 13/12

Step-by-step explanation:

Reduce the fraction 3/9 to the lowest terms by extracting and canceling out 3.

The least common multiple of 4 and 3 is 12. Convert 3/4 and 1/3 to fractions with denominator 12.

Since 9/12 and 4/12 have the same denominator, add them by adding their numerators.

Add 9 and 4 to get 13.

Answer:

4

Step-by-step explanation:

The diameter is 2 times the radius.

radius = 2

diameter = 2 × 2 = 4

Answer: 4

Lets name the vector V: (-2,7)

U which is the unit vector is

  [tex]u = \frac{V}{||V||} = \frac{(-2,7)}{\sqrt{(-2)^{2} +(7^2)} } } = \frac{1}{\sqrt{53} } (-2,7) = (\frac{-2}{\sqrt{51} } ,\frac{7}{\sqrt{51} } )[/tex]

Hope that helps!

Answer:

4 inches

Step-by-step explanation:

Every 25 miles the map shows 1 inch
100 miles is equal to 4 x 25 miles, thus 100 miles on the map will be 4 times longer than 1 inch => 4 inches