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3 years ago

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The recomended daily allowance of niacin is 20 mg. One serving of certain breakfast cereal provides 15mg of niacin. What percent

of the recommended daily allowance of niacin does one serving of this cereal provide

2 answers:

PtichkaEL [24]3 years ago

6 0

75%. Just divide 15/20 and you will get .75 then multiply by 100 to turn the decimal to a percent

Sever21 [200]3 years ago

6 0

75% is the answer because its 3/4 of the recommended daily

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I need help fast can someone please help

Leya [2.2K]

The answer is A . Linear

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3 years ago

Read 2 more answers

If a,b,c and d are positive real numbers such that logab=8/9, logbc=-3/4, logcd=2, find the value of logd(abc)

Eva8 [605]

We can expand the logarithm of a product as a sum of logarithms:

$\log_dabc=\log_da+\log_db+\log_dc$

Then using the change of base formula, we can derive the relationship

$\log_xy=\dfrac{\ln y}{\ln x}=\dfrac1{\frac{\ln x}{\ln y}}=\dfrac1{\log_yx}$

This immediately tells us that

$\log_dc=\dfrac1{\log_cd}=\dfrac12$

Notice that none of $a,b,c,d$ can be equal to 1. This is because

$\log_1x=y\implies1^{\log_1x}=1^y\implies x=1$

for any choice of $y$ . This means we can safely do the following without worrying about division by 0.

$\log_db=\dfrac{\ln b}{\ln d}=\dfrac{\frac{\ln b}{\ln c}}{\frac{\ln d}{\ln c}}=\dfrac{\log_cb}{\log_cd}=\dfrac1{\log_bc\log_cd}$

so that

$\log_db=\dfrac1{-\frac34\cdot2}=-\dfrac23$

Similarly,

$\log_da=\dfrac{\ln a}{\ln d}=\dfrac{\frac{\ln a}{\ln b}}{\frac{\ln d}{\ln b}}=\dfrac{\log_ba}{\log_bd}=\dfrac{\log_db}{\log_ab}$

so that

$\log_da=\dfrac{-\frac23}{\frac89}=-\dfrac34$

So we end up with

$\log_dabc=-\dfrac34-\dfrac23+\dfrac12=-\dfrac{11}{12}$

###

Another way to do this:

$\log_ab=\dfrac89\implies a^{8/9}=b\implies a=b^{9/8}$

$\log_bc=-\dfrac34\implies b^{-3/4}=c\implies b=c^{-4/3}$

$\log_cd=2\implies c^2=d\implies\log_dc^2=1\implies\log_dc=\dfrac12$

Then

$abc=(c^{-4/3})^{9/8}c^{-4/3}c=c^{-11/6}$

So we have

$\log_dabc=\log_dc^{-11/6}=-\dfrac{11}6\log_dc=-\dfrac{11}6\cdot\dfrac12=-\dfrac{11}{12}$

4 0

3 years ago

????? Anyone that can help giving 10 points

katen-ka-za [31]

Step-by-step explanation:

we know that perimeter of triangle is equals to side + side + side

but we can see that the particular triangle is having all the sides equal so it is seen to be equal lateral triangle and formula of equilateral triangle is 3 × sides.....

So,We will take sides common.....

Perimeter of equilateral triangle= 3×Side

3×4.6 cmsq.

13.8cmsq. Answer

6 0

3 years ago

Can you guys help me? please

mel-nik [20]

Answer:

3 square root 2.

Step-by-step explanation:

I think the answer is b (3 square root 2). the Pythagorean therom states that B^2+ B^2= C^2. we know that c squared is 36. 3 square root 2 is approximately 4.24. ( this squared is 17.98). 17.98 + 17.98 = 35.96. If i round this up, it is 36.

8 0

3 years ago

What does i^739 equal? explain how you found your answer.

Sophie [7]

<h3>Answer: -i</h3>

========================================================

Explanation:

i = sqrt(-1)

Lets list out the first few powers of i

i^0 = 1
i^1 = i
i^2 = -1
i^3 = i*i^2 = i*(-1) = -i
i^4 = (i^2)^2 = (-1)^2 = 1

By the time we reach the fourth power, we repeat the cycle over again (since i^0 is also equal to 1). The cycle is of length 4, which means we'll divide the exponent over 4 to find the remainder. Ignore the quotient. That remainder will determine if we go for i^0, i^1, i^2 or i^3.

For example, i^5 = i^1 because 5/4 leads to a remainder 1.

Another example: i^6 = i^2 since 6/4 = 1 remainder 2

Again, we only care about the remainder to find out which bin we land on.

-------------

Turning to the question your teacher gave you, we have,

739/4 = 184 remainder 3

So i^739 = i^3 = -i

<h3>-i is the final answer</h3>

--------------

Side notes:

if i^a = i^b, then a-b is a multiple of 4
Recall that the divisibility by 4 trick involves looking at the last two digits of the number. So i^739 is identical to i^39.

4 0

3 years ago