[tex]\displaystyle (5^3)^6 = 5^{(3 \times 6)} = 5^{18}[/tex]
Write down an equation of the line that is perpendicular to y=2x+5
I will mark as brainliest
Answer:
y = -1/2x +5
Step-by-step explanation:
The perpendicular slope will be the negative reciprocal of the original slope
the reciprocal of 2 is 1/2, and the negative of that is -1/2
A right rectangular prism whose surface area and volume are numerically equal has edge lengths $\log_2 x$, $\log_3 x$, and $\log_4 x$. What is $x
The value of [tex]x[/tex] is 29.
The formulae for the surface area ([tex]A_{s}[/tex]) and volume ([tex]V[/tex]) are, respectively:
[tex]A_{s} = 2\cdot (h\cdot l + w\cdot l + h\cdot w)[/tex] (1)
[tex]V = w\cdot h \cdot l[/tex] (2)
Where:
[tex]w[/tex] - Width.[tex]h[/tex] - Height.[tex]l[/tex] - Length.According to the statement, we must equalize (1) and (2) and substitute the remaining variables:
[tex]2\cdot (h\cdot l + w\cdot l + h\cdot w) = w\cdot h\cdot l[/tex]
[tex]2\cdot h\cdot l + 2\cdot w \cdot l + 2\cdot h\cdot w = w \cdot h \cdot l[/tex]
[tex]2\cdot \log_{2}x\cdot \log_{4}x+2\cdot \log_{3}x\cdot \log_{4}x+2\cdot \log_{2}x\cdot \log_{3}x = \log_{2}x\cdot \log_{3}x\cdot \log_{4}x[/tex]
By applying logarithm properties, we simplify the expression:
[tex]2\cdot \log_{2}x\cdot \left(\frac{\log_{2}x}{\log_{2}4} \right) + 2\cdot \left(\frac{\log_{2}x}{\log_{2}3} \right)\cdot \left(\frac{\log_{2}x}{\log_{2}4} \right) + 2\cdot \log_{2}x\cdot \left(\frac{\log_{2}x}{\log_{2}3} \right) = \log_{2}x \cdot \left(\frac{\log_{2}x}{\log_{2}3} \right)\cdot \left(\frac{\log_{2}x}{\log_{2}4} \right)[/tex]
[tex]2\cdot \left[\frac{1}{\log_{2}4}+\frac{1}{\log_{2}3\cdot \log_{2}4}+\frac{1}{\log_{2}3}\right] = \left(\frac{1}{\log_{2}3\cdot \log_{2}4} \right)\cdot \log_{2}x[/tex]
[tex]2\cdot \left(\frac{\log_{2}3+\log_{2}4+1}{\log_{2}3\cdot \log_{2}4} \right) = \left(\frac{1}{\log_{2}3 \cdot \log_{2}4} \right)\cdot \log_{2}x[/tex]
[tex]\log_{2}x = 2\cdot (\log_{2}3 + \log_{2}4+1)[/tex]
[tex]\log_{2}x = \log_{2}9 + \log_{2}16 +2[/tex]
[tex]x = 9 + 16 + 4[/tex]
[tex]x = 29[/tex]
The value of [tex]x[/tex] is 29.
We kindly invite to check this question on logarithms: https://brainly.com/question/20838017
Nota - The statement of this question presents typing mistakes and is also incomplete, the corrected form is presented below:
A right rectangular prism whose surface area and volume are numerically equal has edge lengths [tex]\log_{2} x[/tex] (height), [tex]\log_{3}x[/tex] (width) and [tex]\log_{4}x[/tex] (length). What is [tex]x[/tex]?
The ratio of male to female bats under the Congress Avenue Bridge in Austin, Texas is 5/4. If you were to see 486 bats fly out from under the bridge, how many would you expect to be female?
Answer:
216 bats will be female
Step-by-step explanation:
First, you set it up for a cross multiply
9 = 486
4 x
We use nine because the ratio of male to female is 5/4 so the ratio of total to female is 9/4. Cross multiply.
9x = 1944
x= 216
So 216 bats will be female
If you liked this, please give me brainliest.
Thankyou
The denominator of a fraction is 8 more than its numerator. If 1 is subtracted from the numerator and 3 is added to the denominator, the fraction becomes 1/2. Find the fraction
pleases help as soon as possible..thank you so much
Answer:
The fraction is 13/21.
Step-by-step explanation:
The denominator of a fraction is 8 more than its numerator.
Let x be the numerator: x
So the denominator is: x + 8
[tex]\frac{x}{x + 8}[/tex]
If 1 is subtracted from the numerator and 3 is added to the denominator, the fraction becomes 1/2.
It will become:
[tex]\frac{x - 1}{x + 8 + 3} = \frac{1}{2}[/tex]
[tex]\frac{x - 1}{x + 11} = \frac{1}{2}[/tex]
Now, by using cross multiplication, multiply (x - 1) by 2 and (x+11) by 1.
It will become:
2x - 2 = x + 11
Now transpose and combine the same values. Make sure to change the integer sign. If the integer is positive, change it to negative when you transpose it.
2x - x = 11 + 2
x = 13
So the value of x is 13. Now to check if it is correct. Go back to the equation([tex]\frac{x - 1}{x + 11} = \frac{1}{2}[/tex])
Put the value of x in it.
[tex]\frac{13-1}{13+11} = \frac{1}{2}[/tex]
[tex]\frac{12}{24} = \frac{1}{2}[/tex]
12/24 is equivalent to 1/2 so that is correct.
Now, to find the main fraction. Go back to the original equation which is;
([tex]\frac{x}{x + 8}[/tex])
Put the value of x.
[tex]\frac{13}{8 + 13}[/tex]
= 13/21
Not a verified expert but I put much effort to answer your question. Hope it helps:)
answer this pls!!...
help me out
-sry for my bad handwriting
Answer:
i cant read it
can u type so i can help?
Step-by-step explanation:
The system of equations below form a line and a parabola. Select all possible solutions to this system from the answer choices below.
2 + y = 5
2? + y = 11
A(-2,7)
B(7,2)
C(3,2)
D(2,3)
ח
F(5,0)
Answer:
B dude also also watch out the jews are coming
For what value of x is line m parallel to line n?
x=?
help i really need it :(
Answer:
The correct equation is [tex]2\frac{2}{3}+r = 3[/tex].
Why?
To find the correct answer we have to isolate r from the other numbers. To isolate r from this equation, we have to subtract [tex]2\frac{2}{3}[/tex] from both sides of the equation. Remember that you can do whatever you need to one side of the equation, but you must do the exact same thing to the other side, so the equation remains the same value. By subtracting [tex]2\frac{2}{3}[/tex] from the equation, we get [tex]2\frac{2}{3}-2\frac{2}{3}+r=3-2\frac{2}{3}[/tex]. Simplify: [tex]r=\frac{1}{3}[/tex]. Therefore, answer D is the solution.
Good luck!
Help would be appreciated right now
Answer:
AC = 20.5, CB = 14.5
Step-by-step explanation:
Let X be the distance of AC, and Y be the distance of CB. We can write 2 equations with the given information:
[tex]x=y+6\\x+y=35[/tex]
Now we have a system of equations that we can solve for both variables.
Solve by substitution:
[tex](y+6)+y=35\\2y+6=35\\2y=29\\y=14.5[/tex]
Then the next equation:
[tex]x=14.5+6\\x=20.5[/tex]
x = 20.5, y = 14.5
or
AC = 20.5, CB = 14.5
20.5 is 6 longer than 14.5, and they add up to 35cm, so this is our solution.
simplify (5 cubed)to the power of 6 leaving your answer in index form
Answer:
I got up to 25 to the power of 6
Step-by-step explanation:
5 cubed is 25, Hope this leads you in the right direction
does anyone know this i need it fast
can someone please tell me what is 12 x 8 +5?
Use BODMAS
first solving 12×8
which is = 12×8=96
than add +5
so, 96+5= 101
Hope This HelpsAnswer: 12x8=26+5= 31
Step-by-step explanation:
solve pls brainliest
Answer:
0.28 repeating- yes, this is a repeating decimal
0.74...- yes, this is a repeating decimal
0.3162..- no, this is a decimal that neither terminates nor repeats
0.816..- yes, this is a terminating decimal
Step-by-step explanation:
Terminating decimals:
a decimal that comes to an end, has a finite number of decimal placescan be expressed/written as a fraction Example: 0.25Repeating decimals:
a decimal that has has digit/digits that repeat over and over (go to infinity)can be expressed/written as a fractionexample: 0.333333333...Non-terminating, Non-repeating decimals:
a decimal number that continues on forever with no group of digits being repeated (the digits are basically randomized)cannot be expressed/written as a fractionexample: πFind the measure of angles A and B in the diagrams below.
Answer:
A = 147°
B = 33°
The value of x varies directly with y, and when x=1/3,y=5
Answer: y = 36x
Step-by-step explanation: Given that x and y vary directly then the equation relating the is
y = kx ← k is the constant of variation
To find k use the condition x = , y = 12, then
k = = = 12 × 3 = 36
y = 36x ← equation of variation
5 16/17 as an improper fraction
Answer:
5 16/ 17
17 x 5 + 16
85+16
101/17
Step-by-step explanation:
goodluck
Answer:
answer is 101/17
85% of 540 = 30% of C
Answer:
C = 1530
Step-by-step explanation:
85% of 540 = 30% of C
0.85 * 540 = 0.3 * C
459/0.3 = 0.3C/0.3
C = 1530
Answer:
c = 1530
Step-by-step explanation:
First, convert the percentages to a decimal.
[tex]85\div100=0.85\\30\div100=0.30[/tex]
In decimal form, percentages are a fraction of 1. 0 is 0%, 0.5 is 50%, and 1 is 100%.
With that, you can write this equation:
[tex]0.85\times540=0.3\times c[/tex]
Now, just solve for c:
[tex]0.3c=0.85\times540\\0.3c=459\\c=1530[/tex]
To confirm that:
[tex]0.85\times540=0.30*1530\\459=459[/tex]
Jeffrey purchased a car for $180 that gives him 20 visits to a new gym and includes a one time fee for unlimited use of the sauna. After five visits, Jeff has $123.75 left on the card, and after 11 visits, he has $74.25 left on the card. Write an equation in point slope form, then determine the cost of each visit in the fee for the sauna use.
HELP ASAP!!!
What are the zeroes of f(x) = x2 − 6x + 8?
x = −4, 2
x = −4, −2
x = 4, 2
x = 4, −2
Answer:
×=2 is the right answer
and ×= -4 also
What is the equation of this graphed line?
Enter your answer in slope-intercept form in the box
Quick please!!!! 50 points!!
Answer:
2,1
Step-by-step explanation:
3.5x^3-2.3x^2+1.4x+15.6-1.2x^3+4.5x^2-0.3x-3.2
Answer: 12.4 + 1.1x + 2.2x^2 + 2.3x^3
Step-by-step explanation:
add the like variables
please help me the last question is wrong
Answer:
Step-by-step explanation:
What is the slope of the line that passes through the ordered pairs(1,14)and(−5,−34)?
Answer:
The answer is 8!
Step-by-step explanation:
I took the quiz. Have a great day, hope this helps!
8x-3y=9
3x+2y=8
(Guys need help on this simultaneous equation)
Step-by-step explanation:
sorry that's all i know hehe
If A=(1 2 3), find 2 A?
Answer:
Remove parentheses
Step-by-step explanation:
A= 123
A rope is stretched tight between the tops
of two flag poles. One pole is 16 m tall, the
other is 8 m tall and they stand on level
ground 6 m apart. Find the rope's length.
m
Answer:
10 m.
Step-by-step explanation:
We have a triangle with hypotenuse h m (the rope's length) and one leg 16 - 8 = 8 m and the other 6 m.
So h^2 = 8*2 + 6^2 = 100
h = 10 m.
Please explain.
No bit links.
Answer:
Top right
Step-by-step explanation:
The equation is saying that x is greater than or equal to the number two. That mean our line will be bold and not dotted and the the shaded area will be everywhere past the 2 line
What is the solution to the inequality -6_5>-29
Answer:
If it's true or false than it's true.
(y=x-4
(y=-2x+5 ................................................................
Answer:
y= -1, x=3
Step-by-step explanation:
2x+y=5
x-y =4
x= 4+y
Sub 1 into 3
2( 4+y ) 4y =5
8+2y +y =5
8+3y =5
3y =5-8
3y =-3
y=-3÷3
y = -1 #
Sub y = -1 into 3 equation
x=4+(-1)
x=3 #
What is meant by permutations ?
Answer:
A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters. Common mathematical problems involve choosing only several items from a set of items with a certain order.
Answer:
Permutations mean each of several possible ways in which a set or number of things can be ordered or arranged.
Step-by-step explanation: