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2 years ago

Help me out please i have an E im scared to fail

Mathematics

2 answers:

slamgirl [31]2 years ago

8 0

Answer:

i think 48

Step-by-step explanation:

Bas_tet [7]2 years ago

6 0

Answer:

The answer is x= 3

Step-by-step explanation:

hope this helps

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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

2 years ago

Which of the following is NOT true about P-values in hypothesis testing? Choose the correct answer below. A. If the P is high

pashok25 [27]

Answer:

Step-by-step explanation:

In statistical hypothesis testing we use p values. For any test we select significance level alpha as 5% or 1% or 10%

Whenever p < alpha we reject our null hypothesis. Otherwise we accept our null hypothesis.

Hence p should be high to accept null hypothesis

Option A is incorrect

B is correct

C is wrong as p is the probability

D False

Option B is right.

7 0

2 years ago

Miss lawrence buys 8 ounces of smoked salmon at 17.98 per pound how much money does mis lawrence spend on smoked salmon

elena-14-01-66 [18.8K]

Do cross multiplication.
Convert ounce to pound.
8 ounce is 0.5 lbs
x/0.5 = 17.95/1
x=8.975
Miss Lawrence spent about $8.98

6 0

2 years ago

An equation for a line parallel to the line with equation y= 10x + 17

azamat

To be parallel with that line the equation has to have the same slope as the equation given, like y = 10x + 3.

3 0

3 years ago

What is the value of cos x°?

PolarNik [594]

Answer:

We know,

$\cos(x) = \frac{b}{h} = \frac{15}{17}$

$\cos(x) = 0.88$

.....Hope this helps:)

3 0

1 year ago