Answer:
x = 10
Step-by-step explanation:
You can try the answers to see which works. (The first one does.)
Or, you can solve for the variable:
Divide by 75
... (1/5)^(x/5) = 3/75 = 1/25
Recognize that 25 = 5^2, so ...
... (1/5)^(x/5) = (1/5)^2
Equating exponents, you have
... x/5 = 2
... x = 10 . . . . . multiply by 5
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You can also start by taking logarithms:
... log(75) +(x/5)log(1/5) = log(3)
... (x/5)log(1/5) = log(3) -log(75) = log(3/75) = log(1/25) . . . . simplify the log
... x/5 = log(1/25)/log(1/5) = 2 . . . . . simplify (or evaluate) the log expression
... x = 10 . . . . . multiply by 5
_____
"Equating exponents" is essentially the same as taking logarithms.
Using a system of equations, it is found that the equation that could be used to find the value of b is given by:
3×4−8=b
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
Fatima has 3 packs of batteries. Each pack contains 4 batteries, hence:
b = 3 x 4
She gives her brother 8 batteries to put in his toy robot, hence:
b = 3 x 4 - 8
Which means that the first expression is correct.
More can be learned about a system of equations at brainly.com/question/24342899
Answer:
384 .cm2
Step-by-step explanation:
If you mean making them a regular number, you add them all.
_______________
But, the expanded form of this is
<em>1</em><em>,</em><em>000</em><em>,</em><em>000</em><em> </em><em>-</em><em> </em><em>Millions</em><em> </em><em>Place</em>
<em>2</em><em>0</em><em>0</em><em>,</em><em>000</em><em> </em><em>-</em><em> </em><em>Hundred</em><em> </em><em>Thousands</em>
<em>50</em><em>,</em><em>000</em><em> </em><em>-</em><em>Ten</em><em> </em><em>Thousands</em><em> </em>
<em>4</em><em>,</em><em>000</em><em> </em><em>-</em><em>Thousands</em><em> </em>
<em>300</em><em> </em><em>-</em><em> </em><em>Hundreds</em>
<em>8</em><em>0</em><em> </em><em>-</em><em>Tens</em>
<em>9</em><em> </em><em>-</em><em> </em><em>Ones</em>
I hope this helps, if it doesn't let me know and I'll do my best.
Answer:
the length of the third side is 26
Step-by-step explanation:
By Pythagoras theorem
AC² = AB² + BC²
AC² = 10² + 24²
AC² = 100 + 576
AC² = 676
AC = √676
AC = 26
