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]?
(6x + 7) + (13x + 21) = 180
x =
Answer:
Step-by-step explanation:
x=4
use the figure to find the value of PT.
PT = 5x + 7 and TQ = 9x-5
please give me the answer
Answer: i’m pretty sure it’s a, if not you can delete this message.
Answer:
B (1.5,2)
Step-by-step explanation:
(4-1)/2,(0+4)/2=
3/2,4/2=
(1.5,2)
Please help me this is due tomorrow.
Answer:
C
Step-by-step explanation:
The domain of a function is a set of values that make the function real and defined. No matter what number you substitute as x, the result is always real. Hence, the domain would be from negative infinity to positive infinity.
Answer: I think it’s D
Step-by-step explanation:
2.5(10x +8) + 3x distributive property
Answer:
23/25
Step-by-step explanation:
(25x+20)/25x+3x/25x
20+3/25=23/25
28x+20
Step-by-step explanation:
[tex]2.5(10x + 8) + 3x \\ 25x + 20 + 3x \\ 28x + 20[/tex]
Solve the equation for X:
4x2 + 15x = 4
Answer:
15x=-4
Step-by-step explanation:
800 students were surveyed to find out their favorite subject. 35% chose math. How many students chose math.
plz .can any one help me.how we calculate this solution : 2 power2 + 6
Answer:
2² = 2*2
(2*2) + 6 = 4+6 = 10
Dave created a video that was originally 64 minutes long, but he ended up cutting it by 13%. How long was his video after he cut it?
Answer:
70 minute
it was help full
Five numbers with mean 4, mode 3, and range 9
Answer:
6,6,6,6,6
Step-by-step explanation:
You’d have to have an odd number of 6s and more than one, so either 3 or 6 of the numbers will have to be 6s
6, 6, 6, 6, 6
5, 6, 6, 6, 7 (the 5 and 7 could be replaced by 4/8, 3/9, 2/10, or 1/11 - as long as balance is preserved)
Russell is eating at a restaurant. His total bill comes to $44.85. If Russell decides to leave a tip that is approximately 20% of the total bill, how much should he leave for the tip?
$9.00
$0.09
$54.00
$8.00
Answer:
I'm thinking is I'm not sure is is answer 0.9
Step-by-step explanation:
am not sure my answer guys because naka tulong din na man too
Which elements are involved in physical weathering?
Air, salt, rivers, sand, and ice
Air, water, ice, temperature, and plants
Animals, water, pressure, sediment, and gravity
Temperature, animals, ice, gravity, and plants
Answer:
heat, water, ice, or other agents
Step-by-step explanation:
Write a differential formula that estimates the change in volume of a sphere when the radius changes from
Answer:
d.
took the test
Step-by-step explanation:
State if the triangles are similar. If so, how do you know they are similar and complete the similarity
statement
STU ~
Answer:
b. not similar
Step-by-step explanation:
Side SC of the smaller triangle is ...
96 -57 = 39
So, the side lengths of the small triangle, shortest to longest, are ...
39, 40, 44
Side ST of the larger triangle is ...
44 +64 = 108
So, the side lengths of the large triangle, shortest to longest, are ...
96, 96, 108
These lengths do not have the same ratios as the lengths of the sides in the smaller triangle, so the triangles are not similar.
_____
Additional comment
The larger triangle is isosceles. The smaller triangle is not.
Please find the slope of these tables
Step-by-step explanation:
To calculate each slope, just take any two points from each table, and plug them into this formula:⤵⤵⤵
(It'll be a bit small btw)
[tex] \frac{y _{2} - y _{1} }{x _{2} - x _{1} } [/tex]
Table 1: I chose points (13,1) and (5,21)
21 - 1 = 20
5 - 13 = -8
Simplified = -5/2 ⬅ Slope
Table 2: I chose points (4,16) and (9,19)
19 - 16 = 3
9 - 4 = 5
3/5 ⬅ Slope
Table 3: I chose points (0,6) and (9,0)
0 - 6 = -6
9 - 0 = 9
Simplified = -2/3 ⬅ Slope
Table 4: I chose points (-8,1) and (-8,17)
17 - 1 = 16
-8 - (-8) = -8 + 8 = 0
Undefined slope (meaning the line will just be verticle)
Table 5: I chose points (2,3) and (3,5)
5 - 3 = 2
3 - 2 = 1
Simplified = 2 ⬅ Slope
Hope this helps :)
6 (3j + 5 + 4j) simplified with the commutative property
(25 points)
(this is 6th grade second-semester math)
Answer:
6 x (3j + 5+ 4j)
6 x(8j+4j)
6 x 12
72
Step-by-step explanation:
hope this helps
Which coin does Jeff have the most of in his collection?
nickel
penny
dime
Answer:
dimes
Step-by-step explanation:
Answer: dimes
Step-by-step explanation:
what is the volume of the prism ?
Answer:
150 units squared
Step-by-step explanation:
I dont know how to solve these still
Answer:
x = 20*
Step-by-step explanation:
180 - 110 = 70
90 - 70 = 20
x = 20*
reason is #5 Algebra
Have a nice day! :-)
Please help me!!!!!!
Answer:
do you know what the question is asking?
Step-by-step explanation:
A farmer has 24 bushels of apples and can harvest 22 bushels of apples each day?
Answer:
................ I don"t know sorry I hate you
For 30 minutes you do a combination of walking and jogging. At the end of your workout your pedometer displays a total of 2.5 miles. You know that you walk .05 miles per minute and jog .1 miles per minute. For how much time were you walking
Find the equation of the line.
Use exact numbers.
y = ___x + ___
Step-by-step explanation:
formula: y=mx+b
First you gotta find M witch is Slope.
B is the y-intercept which is -2
then you have to do rise/run
so up 2
right 3
= 2/3
so your answer would be
y=2/3-2 because you can't simplify 2/3
Which graph is not a function ? Why isn’t it ?
Answer:
Graph 2
Step-by-step explanation:
Graph two is not a function because it does not pass "the vertical line test", which is a method of determining if a graph is a function or not. To do this, we use our pen to check that for every x value there is only one y value. In graph two, however, this is not the case.
A bread recipe uses 3 tablespoons of olive oil for every 1 clove of crushed garlic. Complete this table to show different-sized batches of bread that tastes the same as the recipe. number of batches olive oil (tablespoons) crushed garlic (cloves) 1 3 1 2
Question Blank
type your answer...
2 0.5 1.5
type your answer...
4
type your answer...
4
Answer:
What? I don't understand your question.
Step-by-step explanation:
just no just n oh yeah btw shoot some
+ 1 x 4
2-
ax + b
can be written as a single fraction in the form
X2 x + 2
x² - 4
where a and b are integers.
x+ 2 x -
Work out the value of a and the value of b.
[tex]2 - \frac{x+1}{x-2} - \frac{x-4}{x+2} = \frac{2(x-2)(x+2)}{(x-2)(x+2)} - \frac{(x+1)(x+2)}{(x-2)(x+2)} - \frac{(x-4)(x-2)}{(x-2)(x+2)} \\= \frac{2(x-2)(x+2)-(x+1)(x+2)-(x-4)(x-2)}{(x-2)(x+2)} \\= \frac{2x^{2} -8-x^{2}-3x-2-x^{2} +6x-8 }{x^{2} -4} \\=\frac{3x+(-18)}{x^{2} -4}[/tex]
so : a = 3 b = -18
ok done. Thank to me :>
What is Arithmetic ?
Answer:
Arithmetic is a branch of mathematics that consists of the study of numbers, especially concerning the properties of the traditional operations on them - addition, subtraction, multiplication, division, exponentiation, and extraction of roots.
Answer:
The arithmetic mean is the simplest and most widely used measure of a mean, or average. It simply involves taking the sum of a group of numbers, then dividing that sum by the count of the numbers used in the series.
Step-by-step explanation:
4x squared plus 20x minus 24 pls
The Answer will equal 4(x-1)(x-6)
Step by step explanation= 4x^2+20x-24, 16x+20x-24, 36x-24= 12x
Answer:
4(x-1) (x-6) as an evaluation OR 12x as the answer since you didn't include what it equals.
Step-by-step explanation:
4x^2+20x-24
16x+20x-24
36x-24
12x
Can someone please give me examples of linear, quadratic, Absolute value, square root, cubic, cube root, exponential, logarithmic, and rational function (parent function) equations to help my friend? Please and thank you. I'll give brainliest to the first person who does all of them and get them right.
Answer:
Step-by-step explanation:
Consider the cube root parent function.
( graph in photo below )
Complete the statements to make them true.
A cube root function will ( 1 ) ________ have an x-intercept and ( 2 ) ________ have a y-intercept.
For the parent cube root function, ( 3 ) ____________ located at .
Answer:
1. always
2. always
3. both intercepts are
the explination photos below
Answer:
I got you
[tex]f(x)=3x+2[/tex]
[tex]f(x)=4x^2+3x+7[/tex]
[tex]f(x)=|x+4|[/tex]
[tex]f(x)=\sqrt{x+12}[/tex]
[tex]f(x)=6x^3+4x^2-3x-5[/tex]
[tex]f(x)=\sqrt[3]{3x-5}[/tex]
[tex]f(x)=2^x[/tex]
[tex]f(x)=log_3(x)[/tex]
[tex]f(x)=\frac{x+5}{x-3}[/tex]
Each function is respective to the order of the list given.
Let me know if you want the graphs
Write the decimal as a fraction in simplest form.
5. -18.04
Answer: - [tex]\frac{451}{25}[/tex]
Step-by-step explanation: