Create 3 equivalent ratios for 5:7

Answer:

The age of the wood is [tex] t =  17527.5 \  years [/tex]

Step-by-step explanation:

   From the question we are told that 88% of  of the C-14 found in living trees of the same type had decayed , this means that the proportion of C-14 that is remaining is mathematically evaluated as

    [tex]  1 - 0.88 = 0.12[/tex]

Hence

[tex] N = 0.12N_o[/tex]

Here  N represents the remaining C-14 while [tex]N_o[/tex] is the original  amount of  C-14

Generally the half life of C-14 is  [tex]h =  5730 \  years[/tex]

Generally from the formula of radioactive decay

       [tex]N  =  N_o  *  2^{-\frac{t}{h} }[/tex]

=>    [tex]0.12N_o =  N_o  *  2^{-\frac{t}{5730} }[/tex]

=>    [tex]0.12  =    2^{-\frac{t}{5730} }[/tex]

taking the natural log of both sides

=>  [tex] ln [0.12]  =   ln[ 2^{-\frac{t}{5730} }][/tex]

=>  [tex] ln [0.12]  =  -\frac{t}{5730}ln(2) [/tex]

=>   [tex] t =  17527.5 \  years [/tex]

The appropriate age of burned wood will be "17527.5 years".

According to the question,

The proportion of C-14 = 1 - 0.88

                                      = 0.12

then,

N = 0.12 N₀

Now,

The half-life of C-14 will be:

h = 5730 years

By using Radioactive decay formula, we get

→      N = N₀ × [tex](2)^{-\frac{t}{h} }[/tex]

By substituting the values,

0.12N₀ = N₀ × [tex](2)^{-\frac{t}{5730} }[/tex]

   0.12 = [tex]2^{-\frac{t}{5730} }[/tex]

By taking "log" both sides,

ln[0.12] = ln[[tex]2^{-\frac{t}{5730} }[/tex]]

ln[0.12] = -[tex]\frac{t}{5730 \ ln(2)}[/tex]

hence,

The age will be:

         t = 17527.5 years

Thus the above response is correct.

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Answer:

d = 7

Step-by-step explanation:

1.5d + 9.25 = 4 + 2.25d

Combine the constants and the variables.

5.25 = 0.75d

Divide.

d = 7

Answer:

[tex](\frac{sin\ x}{1 - cos^2x})(tan\frac{x}{2}) = \frac{1}{1+cosx}[/tex]

Step-by-step explanation:

Given

[tex](\frac{sin\ x}{1 - cos^2x})(tan\frac{x}{2})[/tex]

Required

Simplify

[tex](\frac{sin\ x}{1 - cos^2x})(tan\frac{x}{2})[/tex]

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Considering the denominator of the first bracket

[tex]1 - cos^2x[/tex]

This can be rewritten using different of two squares as follows:

[tex](1 - cosx)(1 + cosx)[/tex]

So, [tex]1 - cos^2x[/tex] can be replaced with [tex](1 - cosx)(1 + cosx)[/tex] in the given expression.

Also, from trigonometry identity

[tex]tan\frac{x}{2} = \frac{1 - cos x}{sin x}[/tex]

So, [tex]tan\frac{x}{2}[/tex] can be replaced with [tex]\frac{1 - cos x}{sin x}[/tex] in the given expression

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[tex](\frac{sin\ x}{1 - cos^2x})(tan\frac{x}{2})[/tex] becomes

[tex](\frac{sinx}{(1-cosx)(1+cosx)}) * \frac{1 - cos x}{sin x}[/tex]

[tex](\frac{sinx * (1 - cos x)}{(1-cosx)(1+cosx) * sin x})[/tex]

Cancel out similar expressions

[tex]\frac{1}{1+cosx}[/tex]

The expression cannot be further simplified.

Hence:

[tex](\frac{sin\ x}{1 - cos^2x})(tan\frac{x}{2}) = \frac{1}{1+cosx}[/tex]

The simplified form of the expression :

[tex]\frac{sinx}{1-cos^{2} x} .tan\frac{x}{2} =\frac{1}{1+cosx}[/tex]

We have some trigonometric formula as:

[tex]sin2x=2sinx= cosx\\2cos^{2} x=1+cos2x[/tex]

We have the expression

[tex]\frac{sinx}{1-cos^{2} x} .tan\frac{x}{2} \\=\frac{sinx}{sin^{2} x} .tan\frac{x}{2} \\=\frac{1}{sin x} .tan\frac{x}{2}\\=\frac{1}{2sin \frac{x}{2} cos\frac{x}{2}} .tan\frac{x}{2}\\=\frac{1}{2sin \frac{x}{2} cos\frac{x}{2}} .\frac{sin\frac{x}{2}}{cos\frac{x}{2}} \\=\frac{1}{2cos^{2} \frac{x}{2}}\\=\frac{1}{1+cos{x} }[/tex]

Therefore, the simplified form of the expression is:

[tex]\frac{sinx}{1-cos^{2} x} .tan\frac{x}{2} =\frac{1}{1+cosx}[/tex]

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Answer:

39pounds 6oz

Step-by-step explanation:

15x2=30

1x30=30pounds

5x30=150oz

30p+150oz=39.37500

37500p=6oz

39pounds and 6 oz

Answer:

-7 minus 9 = -16

-3-(-10) =7

8-12=-4

4-(-5)=9

Step-by-step explanation:

im in 7th grade on edginuity got it all right

Answer:

A.) parallel

Step-by-step explanation:

they are on opposite sides, and will never touch.

Hope I helped!! :)

Answer:

0.17

Step-by-step explanation:

hope i helped

Answer:

on what

Step-by-step explanation:

??????

Answer:

What do you need help with?

Step-by-step explanation:

Upload a picture

Answer:hi

Step-by-step explanation:

Answer:

x = 2y

Step-by-step explanation:

Simplifying

3x + -6y = 0

Solving

3x + -6y = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '6y' to each side of the equation.

3x + -6y + 6y = 0 + 6y

Combine like terms: -6y + 6y = 0

3x + 0 = 0 + 6y

3x = 0 + 6y

Remove the zero:

3x = 6y

Divide each side by '3'.

x = 2y

Simplifying

x = 2y

Answer:

4000 and 7000

Step-by-step explanation:

Answer:

-4x + 16y + 3xy

Step-by-step explanation:

The sum of 3x + 4y - 3xy and 5x + 3y - 2xy is 8x + 7y - 5xy.

The sum of 2x + y - 3xy and 10x - 9y - 8xy is 12x - 8y - 11xy.

Subtract the sum of the second pair from the first pair by changing the sign of the subtrahend. The result is -4x + 16y + 3xy

Answer:

x=4

Step-by-step explanation:

it tel you that f(x) = 7 so replace "f(x)" for 7 in the equation. You then get 7 = 4x - 9 so now you solve for x. You have to isolate x so you add 9 to the other side since you do the opposite of -9. Once you add 9 and 7, then divide the answer by 4. You should get 4 = x.

Work:

f(x) = 4x - 9

7 = 4x - 9

7 + 9 = 4x

16 = 4x

16 ÷ 4 = x

4 = x

Answer:

176.37 pounds are in 80 kilograms

Step-by-step explanation:

The kilogram, or kilogramme, is the base unit of weight in the Metric system. It is the approximate weight of a cube of water 10 centimeters on a side.

A pound is a unit of weight commonly used in the United States and the British commonwealths. A pound is defined as exactly 0.45359237 kilograms.

Answer:

C. If the price increases by $1, sales will decrease by $800, on average

Step-by-step explanation:

Slope of regression equation represents the increase/decrease in dependent variable Y due to unit change in independent variable X. Here, independent variable is X is price and dependent variable Y is sales. The slope negative sign represent decrease in dependent variable due to unit increase in independent variable. Sales is given in ($1000) So, (0.8*1000)=800. It means that due to unit dollar increase in price the sales will decrease by $800. Thus, If the price increases by $1, sales will decrease by $800, on average is the correct interpretation.

Answer:

c, vertical

Step-by-step explanation:

blablablablablanlabla

Answer:

The answer is one hundred percent D

Step-by-step explanation:

Hi

Answer:

D

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of phones that were on sale, given that 6% of the cell phones that were on sale, therefore:

number of cell phones sold = 6% of x = 0.06 × x = 0.06x

21 phones were sold, hence:

0.06x = 21

x = 21/0.06

x = 350 phones

This means that 350 cell phones were on sale.

Number of cell phones not sold = total number of cell phones that were on sale - number of cell phones sold

Number of cell phones not sold = 350 - 21

Number of cell phones not sold = 329

Answer:

Callie has 4 months to pay off the bill. The rational number is +4. The sign is positive because it represents a quantity of something, in this case, months.

Step-by-step explanation:

this is correct...

trust me :)

The sign is positive because it represents a quantity of something, in this case, months.

Callie has 4 months to pay off the bill.

The rational number is +4.

A number that can be represented as the quotient p/q of two integers such that q ≠ 0. In addition to all the fractions, the set of rational numbers includes all the integers, each of which can be written as a quotient with the integer as the numerator and 1 as the denominator.

The sign is positive because it represents a quantity of something, in this case, months.

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Answer:

А. The solution to this system is nonviable because it results in a fractional number of tickets.

Step-by-step explanation:

Let x represent the number of adult tickets, y represent the number of child ticket and z represent the number of senior ticket.

Since the number of purchased ticket is 17, hence:

x + y + z = 17         (1)

The total cost of tickets is $141.50, hence:

10x + 7y + 8.5z = 141.5       (2)

they are purchasing 2 more senior tickets than adult tickets, therefore:

x = z + 2        (3)

Solving equation 1 2 and 3 simultaneously gives:

x =17/3, y = 23/3, z = 11/3

Therefore the solution to this system is nonviable because it results in a fractional number of tickets.

Answer:

А.The solution to this system is nonviable because it results in a fractional number of tickets

Step-by-step explanation:

took the test on edmentum and got it correct

Answer:

t = -32

Step-by-step explanation:

I multiplied -4 to 8

Have a wonderful day <33

Answer:

point ??????? I think not sure

Answer:

- 5

Step-by-step explanation:

Step 1:

g ( x ) = - 3x + 1      Function

Step 2:

g ( x ) = - 3 ( 2 ) + 1       Input x

Step 3:

g ( x ) = - 6 + 1      Multiply

Answer:

g ( x ) = - 5      Add

Hope This Helps :)

Answer:

Step-by-step explanation:

let n(U) be the total number of school employees = 800

Let n(I) be amount of instructors = 430

Let (F) be full-time faculty = 589

Let n(InF) be the instructors who were full-time faculty = 340

The number of employees who were full-time faculty but were not instructors is expressed as:

n(FnI') = n(F) - n(InF)

n(FnI') = 589 - 340

n(FnI') = 249

Hence the number of school employees who were full-time faculty but were not instructors are 249

Answer:

The square root of the variance.

The average distance from the mean expected of the data.

Step-by-step explanation:

Standard deviation is a measure of dispersal. It determines the average distance from the mean expected of the data.

                Standard deviation = [tex]\sqrt{variance}[/tex]

Answer: Yes. For example: (27)^2/3 would be 3^2 which = 9.

Step-by-step explanation: Hopefully this help :D ask for more help if you need!

Complete question :

A coin is tossed and a die is rolled. Find the probability of tossing a tail and then rolling a number greater than 2.

Answer : 1/3

Step-by-step explanation:

For a coin :

Sample space = (T, H)

Probability = required outcome / Total possible outcomes

Probability of tail, p(T) = 1 / 2 = 0.5

For a fair die:

Sample space = (1, 2, 3, 4, 5, 6)

Required outcome = number greater than 2 = (3, 4, 5, 6) = 4

P(number greater than 2) = 4/6 = 2/ 3

Hence, probability of a tail, then a number greater than 2 :

(1/2 * 2/3) = 2 /6 = 1/3

Answer:

1. Vertex-M sides- LM MN

2. Vertex-D sides- ED CD

3. Vertex-R sides- SR RQ

4. Vertex-T sides- ST TU

5. angle 3 angle D angle CDE

6. angle 4 angle F angle GFE

7. angle 1 angle F angle GFE

8. angle 3 angle I angle HIJ