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beks73 [17]
3 years ago
14

A rectangular piece of cardboard is a = 11 in. longer than it is wide. squares 2 in. on a side are to be cut from each corner an

d then the sides folded up to make an open box with a volume of 84 in3. find the length and width of the piece of cardboard.
Mathematics
1 answer:
ipn [44]3 years ago
3 0
<span>A rectangular piece of cardboard is 2 units longer than it is wide. From each of its corners a square piece 2 units on a side is cut out. The flaps are then turned up to form an open box that has a volume of 70 cubic units. Find the length and width of the original piece of cardboard. </span>
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Condense the following logarithm: 5log_4(a) - 6log_4(b)​
grin007 [14]

Hi there! We are given the expression:

\large \boxed{5 log_{4}(a)  - 6 log_{4}(b) }

To condense or simplify the following logarithm. You have to remember these properties:

Properties - Logarithm

\large{ log_{b}(a)^{n}  = n log_{b}(a) } \\  \large{ log_{b}(a)  -  log_{b}(c)  =  log_{b}( \frac{a}{c} ) }

These two properties are what we need for our problem. Therefore,

\large{ log_{4}(a)^{5}  -  log_{4}(b)^{6} }

We use the log_b(a)^n = nlog_b(a) property to convert in the form above. Next, we use the second property.

\large{ log_{4}( \frac{ {a}^{5} }{ {b}^{6} } ) }

Answer

  • log base 4 of (a^5/b^6) is our simplifed form.

Any questions can be asked through comment as I may reply soon. Thanks for using Brainly! Have a good day and happy learning! :)

6 0
3 years ago
Need desperate help PLEASE
laiz [17]

Answer:

L = 17 m

Step-by-step explanation:

The formula for the volume of a rect. prism of length L, width W and height H is V = L*W*H.  Here we are given certain values (W and H) and are asked to find the third value (L).

Solving V = L*W*H for L, we get

         V

L = ----------

       W*H

Subst. 2830.5 m³ for V, 18.5 m for W and 9 m for H.  This results in:

       2830.5 m³

L = -------------------- = 17 m

      (18.5 m)(9 m)

The length of this prism is 17 m.

6 0
3 years ago
What is the quotient of 237.6 and 33.
andrezito [222]
7.2 would be the quotient, because 237.6 divided by 33 is 7.2 .
5 0
3 years ago
Read 2 more answers
Someone pls help im struggling if you do tysm ! &lt;333 :)
Allisa [31]

Answer:

everything except -1 will be the answer

Step-by-step explanation:

4n + 13 < 9

n < -1

if n is -1, the answer would be 9(INCORRECT)

if n is -2, the answer would be 5(CORRECT)

if n is -3, the answer would be 1(CORRECT)

if n is -4, the answer would be -3(CORRECT)

4 0
3 years ago
Read 2 more answers
Which of the following is equivalent to the complex number i^{26}i
notka56 [123]

Answer:

-1

Step-by-step explanation:

i^{26}

= (i^{2} )^{13}

= (-1)^{13}

= -1

3 0
3 years ago
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