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sesenic [268]
3 years ago
7

Suppose 3/4 is a root of a polynomial equation. what does this tell us about the leading coefficient and the constant term in th

e equation
Mathematics
1 answer:
snow_tiger [21]3 years ago
5 0

Answer:

Nothing new about leading coefficient. Definition says it can't be zero. It can always be made equal to one by dividing through.

Constant term cannot be zero unless a root is zero.


Step-by-step explanation:

x-3/4 = 0 has root 3/4 constant term -3/4


(x-3/4)(x-b) = 0 has roots 3/4 and b, constant term 3b/4 which is zero only if b is zero.


(x-3/4)(x-b)(x-c) = 0 has roots 3/4, b, c, constant term -3bc/4 which is zero only if b or c is zero.


Etc. ...

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Scientist can determine the age of ancient objects by a method called radiocarbon dating. The bombardment of the upper atmospher
Artemon [7]

Answer: 2500 years

Step-by-step explanation:

I'm not quite sure if I'm doing this right myself but I'll give it a shot.

We use this formula to find half-life but we can just plug in the numbers we know to find <em>t</em>.

A(t)=A_{0}(1/2)^t^/^h

We know half-life is 5730 years and that the parchment has retained 74% of its Carbon-14. For A_{0 let's just assume that there are 100 original  atoms of Carbon-14 and for A(t) let's assume there are 74 Carbon-14 atoms AFTER the amount of time has passed. That way, 74% of the C-14 still remains as 74/100 is 74%. Not quite sure how to explain it but I hope you get it. <em>h</em> is the last variable we need to know and it's just the half-life, which has been given to us already, 5730 years, so now we have this.

74=100(1/2)^t^/^5^7^3^0

Now, solve. First, divide by 100.

0.74=(0.5)^t^/^5^7^3^0

Take the log of everything

log(0.74)=\frac{t}{5730} log(0.5)

Divide the entire equation by log (0.5) and multiply the entire equation by 5730 to isolate the <em>t</em> and get

5730\frac{log(0.74)}{log(0.5)} =t

Use your calculator to solve that giant mess for <em>t </em>and you'll get that <em>t</em> is roughly 2489.128182 years. Round that to the nearest hundred years, and you'll find the hopefully correct answer is 2500 years.

Really hope that all the equations that I wrote came out good and that that's right, this is definitely the longest answer I've ever written.

5 0
3 years ago
Find the components of the vector v with initial point P and terminal point Q. Find the unit vector u in the direction of v.
love history [14]

Answer:

Step-by-step explanation:

v=Q-P

v=(5,1,0)

u=v/(magnitude of v)=(5,1,0)/(\sqrt{5^2+1^2+0^2)

u=(5/5.09,1/5.09,0)

v=Q-P

v=(1,1,0)

u=v/(magnitude of v)=(1,1,0)/(\sqrt{1^2+1^2+0^2)

u=(1/\sqrt{2},1/\sqrt{2},0)

8 0
3 years ago
What is the 3-step Process to find the square root of non-perfect numbers?
mash [69]
<span>Step–1:Find a perfect square root as close to your number.

</span><span>Step–2: Divide your number by the square root.

</span><span>Step–3: Calculate the average of the result given in step 2 and the root. 

Step-4: Simplify if needed. </span>
7 0
4 years ago
Men and women (ages 22–40) were surveyed to choose a favorite free-time activity: playing sports, dancing, or watching movies/TV
Gnesinka [82]

The correct two-way frequency table for the data is <u>Men </u><u>and </u><u>Women </u><u>Leisure Time Activity Preferences.</u>

<h3>What is a correct two-way frequency table?</h3>

A correct two-way frequency table displays frequencies for two categories (rows and columns) collected from categorical variables (men and women).

Men and Women Leisure Time Activity Preferences;

                Playing Sports     Dancing     Watching movies/TV   Row totals

Men                  11                         3                          6                          20

Women             5                       16                          9                          30

Column totals 16                       19                         15                          50

Hence, the correct two-way frequency table for the data is Men and Women Leisure Time Activity Preferences.

To learn more about two-way frequency tables click the link given below.

brainly.com/question/4555163

3 0
3 years ago
PLEASE HELP ME ASAP!!!!!!!!
Svetlanka [38]
Wouldn't it be B ??? Hope this is right:) can you take a look at mine??
5 0
3 years ago
Read 2 more answers
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