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Mariulka [41]
3 years ago
11

Will mark Brainlyist help me fill out the chart

Mathematics
1 answer:
Zigmanuir [339]3 years ago
8 0

Answer:

The working is done in the image attached.

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How do i solve this exponential equation<br>​
Novay_Z [31]

Answer:

  x = 0 or 1/2

Step-by-step explanation:

Solving an exponential equation of this nature with different bases and coefficients is always a bit of an ad hoc affair. Here, we can divide by the right side expression and make a substitution that turns it into a quadratic.

__

  3\cdot16^x+2\cdot81^x=5\cdot36^x\\\\0.6\left(\dfrac{4}{9}\right)^x+0.4\left(\dfrac{9}{4}\right)^x=1\\\\\textsf{Let $z=\left(\dfrac{4}{9}\right)^x$}\\\\0.6z+\dfrac{0.4}{z}=1\qquad\text{after substitution}\\\\3z^2-5z +2 = 0\qquad\text{multiply by $5z$ and put in standard form}\\\\(3z-2)(z-1)=0\qquad\text{factor}\\\\z=\dfrac{2}{3}\quad\text{or}\quad z=1\\\\x=\dfrac{\log(z)}{\log(4/9)}=\boxed{\dfrac{1}{2}\quad\text{or}\quad 0}

_____
<em>Additional comment</em>

A graphing calculator often solves these very nicely, especially when the equation is put into the form f(x) = 0.

3 0
2 years ago
What is the surface area of this rectangular prism?
IceJOKER [234]

Answer: the answer is 290

Step-by-step explanation:

7 0
3 years ago
Li has to read four books from a list of 10 books. how many sets of four books can be made?
Savatey [412]
To answer this question, we would use the combination formula which is 
nCr, where n is the the number of objects and r is the sample.

So n would be 10, and r would be 4, since that is what we need to group.

<span>10 choose 4 is written 10C4, or C(10,4), and equals 10!/(4!(10-4)!)=10!/(4!6!)=10*9*8*7/(1*2*3*4) = 210</span>
7 0
3 years ago
Read 2 more answers
Which is larger 4 yard or 13 foot?
kow [346]
As 1 yard is equal to 3 feet , so 4 yard will be 12 feet !

so 13 foot > 4 yards
4 0
3 years ago
What is the surface area of a cube that has a height of 2in?"
zloy xaker [14]

Answer:

24

Step-by-step explanation:

2x2=4 is one side 4x6=24 is the surface area

6 0
3 years ago
Read 2 more answers
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