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andrey2020 [161]
2 years ago
8

A square coaster has a side length of 5/12 feet on each side.

Mathematics
1 answer:
Lisa [10]2 years ago
3 0

Answer:

25/144

Hope this helps

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Express the fraction in simplest form. 2/8
seropon [69]
It will be 1/4.
That is your answer. 
Hope this helps

5 0
3 years ago
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Which of the following parametric equations are equivalent to the polar equation r=3 cos theta
Allushta [10]
To solve the problem you must know that to change from Cartesian to polar coordinates you must write:
 x = rcos (θ)
 Where "r" is the radius
 Likewise y = rsin (θ)
 Therefore, in the expression r = 3cos (θ) one can write r as:
 r = x / cos (θ)
 So:
 x / cos (θ) = 3cos (θ)
 x = 3cos ^ 2 (θ)
 The same for y ...
 y = rsin (θ)
 y = 3cos (θ) sin (θ).

  Finally the correct answer is option 2.
 x = 3cos ^ 2 (θ) y = 3cos (θ) sin (θ).
5 0
2 years ago
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______To test the efficacy of vitamin C in preventing colds, army recruits are randomly assigned to one of two groups: one in wh
kipiarov [429]

Answer:

This type of study design is

Clinical Trial

Step-by-step explanation:

  • It is clinical trial because in this study design a treatment is given to the individuals and then we observe this treatment. In this experiment, we are studying the effects by giving 500 mg of Vitamin and Placebo to the soldiers.
  • It is not a cross-sectional study because this type of study is used to analyze characteristic of the population depending upon data but this study is not used for disease.
  • It is also not a case-control study as well as prospective cohort study because case-control study is used to observe the new cases of a disease while prospective cohort study is used for determining risks or exposure factors of a disease.
  • It is not a community trial as in which a community is under observation like a city or a country and it is also not a historical prospective cohort study because in this study type, we observe the cohorts (similar objects) with the different qualities. They are studied on the basis of these qualities.
8 0
3 years ago
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How much more would $1,000 earn in 5 years in an account compounded continuously than an account compounded quarterly if the int
s2008m [1.1K]

Answer: There is a difference of $ 1.0228.

Explanation: Given, initial amount or principal = $ 1000,

Time= 5 years and given compound rate of interest = $3.7%

Now, Since the amount in compound continuously,

A= Pe^{rt} , where, r is the rate of compound interest, P is the principal amount and t is the time.

Here, P=$ 1000, t=5 years and r= $3.7%,

Thus, amount in compound continuously ,  A=1000e^{3.7\times5/100}

⇒A=1000e^{18.5}=1000\times 1.20321844013=1203.21844013

Therefore, interest in this compound continuously rate =1203.21844013-1000=203.21844013

now, Since the amount in compound quarterly,

A=P(1+\frac{r/4}{100} )^{4t}, where, r is the rate of compound interest, P is the principal amount and t is the time.

Thus, amount in compound quarterly, A=1000(1+\frac{3.7/4}{100} )^{4\times5}

⇒A=1000(1+\frac{3.7}{400} )^{20}

⇒A=1000(1+\frac{3.7}{400} )^{20}

⇒A= 1202.19567617

Therefore, interest in this compound quarterly rate=1202.19567617-1000=202.19567617

So, the difference in these interests=203.21844013-202.19567617=1.02276396 ≈1.0228                                                  

4 0
2 years ago
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If an interest rate of 5% results in interest of $50,<br> what is the principal amount of the loan?
Luba_88 [7]
X times 0.05 = $50
Solve for x

We do the inverse of times which is divide

$50 divide by 0.05 = $1000

Thus, $1000 is the amount of loan.
7 0
2 years ago
Read 2 more answers
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