Can someone explain to me how to do this? :

8^2y+4 = 16^y+1

Answers

Answer 1
Answer:

Answer:

y = -4

Step-by-step explanation:

Assuming the problem is 8^(2y+4)=16^(y+1), it would be nice if we could convert both sides of this equation to the same base; that way, we could compare the exponents directly in an equation of their own. Fortunately, 8 and 16 are both powers of 2 -- 2^3 and 2^4, we can rewrite the original equation by substituting those in:

(2^3)^(2y+4)=(2^4)^(y+1)

When you have an exponent raised to another exponent, you multiply those exponents together, so we can simplify our equation by distributing a 3 in the left exponent and a 4 in the right:

2^(3\cdot(2y+4))=2^(4\cdot(y+1))\n2^(3\cdot2y+3\cdot4)=2^(4\cdot y+4\cdot1)\n2^(6y+12)=2^(4y+4)

With both of our bases the same, we can now simply compare their exponents directly to solve for y:

6y+12=4y+4\n2y=-8\ny=-4


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Write the value of 4 in 305,444

Answers

Divide 305444 by 4

305444 / 4
76361

so
76361 times 4 is equal to 76361
76361  is your answer

Help me please!
What is the median of this data? 48, 60, 22, 84, 36

Answers

He is wrong. You first need to put it in order before getting the middle. Like so:
22, 36, 48, 60, 84
Now cross out 22, then 84, and so on till you're left with one number (the middle number)

THE ANSWER IS 48
22 because the median is just the middle number of a set of data

Find the surface area

Answers

Surface Area formula of a cylinder:
S.A = 2 × Area of base + Perimeter of base × Height of prism
       = 2\pir² + 2\pirh
       = 2\pi(10)² + 2\pi(10)(100)
{We took 10 ft as the radius because the diameter is 20 ft, so the radius is half the diameter}
       = 200\pi + 2000\pi
       = 2200\pi ft² (in terms of \pi)
       = 6911.5 ft² (to the nearest tenth)

Write an algebraic expression for the word phrase. five fewer than d days​

Answers

d-5

because it is 5 fewer we are subtracting the number five from the variable representing days.

The heights, in inches, of several seventh-grade students at Evan Mills Middle School are listed below.56,50,47,55,50,51,55,45,55,49,45,44
Make a box plot to display this data.
(plz scan and send pic)

Answers

The box plot for the given data is plotted below with minimum value 44, maximum value 56 and median 50.

What is a box and whisker plot?

A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum. In a box plot, we draw a box from the first quartile to the third quartile. A vertical line goes through the box at the median.

The given data is 56,50,47,55,50,51,55,45,55,49,45,44.

The data in order 44, 45, 45, 47, 49, 50, 50, 51, 55, 55, 55, 56.

Here, the minimum value is 44

The maximum value is 56.

Q1 is (45+47)/2 = 46

Q3 is 55

Median is 50.

Hence, the box plot for the given data is plotted below.

Learn more about the box plot here:

brainly.com/question/1523909.

#SPJ3

does this help?
i did it online so i don't know if it's what you need or not, hopefully it is though. :)

What is 3.25 with the 5 repeating as a rational number

Answers

So,

3.2\overline{5}

Multiply it by 100.

3.2\overline{5}--\ \textgreater \ 325.5\overline{5}.

We now know that 325.5\overline{5} is 100 times of 3.2\overline{5}.  If we subtract the first from the second, we will get 99 of the number.  Then, we can simply divide by 99 and we will have it in fraction form.

325.5\overline{5}-3.2\overline{5}=322.3

Now, we put it over 99.

(322.3)/(99)

Of course, we cannot have decimals in fraction form, so we will just fix that.

(3223)/(990)= (11*293)/(2*3*3*5*11)=(293)/(2*3*3*5)=(293)/(90)\ or\ 3 (23)/(90)
322 over 99 is your answer. Hope this helps!