Answer:
3
Step-by-step explanation:
[tex]log(3x^{3}) - log(x^{2}) = log(\frac{3x^{3}}{x^{2}})\\log(27) - log(x) = log(\frac{27}{x} )\\[/tex]
therefore,
[tex]\frac{3x^{3} }{x^{2} } = \frac{27}{x} \\3x=\frac{27}{x} \\3x^{2} =27\\x= +3\\x=-3[/tex]
however, since logarithms cannot have negative arguments, x can only be +3
i.e. log(-3) is impossible, and will return MATH ERROR on a calculator.
Solve the equation.
5(x - 2)+x= 6(x - 3) + 8
MO
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution is
(Simplify your answer.)
B. The solution is all real numbers.
O C. There is no solution.
(Answer quickly)
Answer: B
Step-by-step explanation:
[tex]5(x-2)+x=6(x-3)+8\\remove the parentheses\\5x-10+x=6x-18+8\\combine like terms \\6x-10=6x-10\\xER[/tex]
A board of wood measures 58 inches thick. If you stack the boards 6212 inches high, how many boards are in the stack
Answer:
107 full and .103 of another
Step-by-step explanation:
6212/58 =
In a class, two out of every 10 students fails. If there are 50 students in the class, how many pass the test
Step-by-step explanation:
[tex]thank \: you[/tex]
Answer:
10 students
Step-by-step explanation:
10 students=2 fail
50 students=10 fail
Hope this helps! Thanks.
James is putting a fence around his square yard. The area of his yard is 100 square feet. How much fencing does James need in total to go around all
four sides of his yard?
O 10 ft
O 20 ft
O 40 ft
O 80 ft
Answer:
40 ft.
Step-by-step explanation:
Because James's yard is a square, we can take the square root of the area to find the side length. The square root of 100 is 10, so we know that one side of his yard will require 10 feet of fencing. Since the yard has 4 sides, we simply need to do 4 * 10 = 40 ft of fencing.
Hope this helps!
What are the domain and range of the function below?
PLZ help me i hate algebra 2 and i started school last week
Answer:
According to the graph the point (0, 4) is the maximum of the function.
So the domain:
x = [0, +∞)The range:
y = (-∞, 4]A store is having a sale on jelly beans and trail mix. For 7 pounds of jelly beans and 9 pounds of trail mix is a total of $42. For 5 pounds of jelly beans and 3 pounds of trail mix is a total of $24. Find the cost for each pound of jelly beans and each pound of trail mix?
Answer:
One pound of jelly beans costs $3.75.
One pound of trail mix costs $1.75.
Step-by-step explanation:
Let [tex]x[/tex] be equal to one pound of jelly beans.
Let [tex]y[/tex] be equal to one pound of trail mix.
1) Form equations
We're given:
7 pounds of jelly beans + 9 pounds of trail mix = $42
⇒ [tex]7x+9y=42[/tex]
5 pounds of jelly beans + 3 pounds of trail mix = $24
⇒ [tex]5x+3y=24[/tex]
Now, we have our two equations:
[tex]\displaystyle\left \{ {{7x+9y=42} \atop {5x+3y=24}} \right.[/tex]
2) Solve for x using elimination
[tex]\displaystyle\left \{ {{7x+9y=42} \atop {5x+3y=24}} \right.[/tex]
Multiply the second equation by 3 to change 3y to 9y:
[tex]5x+3y=24\\3(5x+3y)=3(24)\\15x+9y=72[/tex]
Subtract the first equation from the second to eliminate y:
[tex]15x+9y=72\\- 7x+9y=42\\\rule{2.5cm}{0.4pt}\\8x=30[/tex]
Divide both sides by 8 to isolate x:
[tex]\displaystyle x=\frac{30}{8} \\\\x=3.75[/tex]
Therefore, one pound of jelly beans costs $3.75.
2) Solve for y using substitution
[tex]\displaystyle\left \{ {{7x+9y=42} \atop {5x+3y=24}} \right.[/tex]
Now, we know that x=3.75. Plug this value into one of the equations and solve for y:
[tex]5x+3y=24\\5(3.75)+3y=24\\18.75+3y=24\\3y=24-18.75\\3y=5.25\\\\\displaystyley=\frac{5.25}{3} \\\\y=1.75[/tex]
Therefore, one pound of trail mix costs $1.75.
I hope this helps!
PLS HELP , I GOT ONLY ONE RIGHT AND THE REST ARE WRONG. I dont know what to do anymore pls help , its due todayyy plsjnn
Louis Poinsot established the patterns for the icosahedron and the dodecahedron in
1809. Besides really long words, what are they?
Answer:
Platonic solids
Step-by-step explanation:
To solve this we must be knowing each and every concept related to geometry. Therefore, icosahedron and the dodecahedron represents geometry of molecule.
What is geometry?Molecular geometry in chemistry depicts a molecule's three-dimensional form as well as the relative location of its atomic nuclei.
Understanding a molecule's molecular geometry is critical since the spatial connection between atoms dictates its reactivity, color, bioactivity, state of matter, polarization, as well as other features. A molecule's form influences its physical and chemical properties, including its colour, sensitivity, and bioactivities. Icosahedron and the dodecahedron represents geometry of molecule.
Therefore, icosahedron and the dodecahedron represents geometry of molecule.
To learn more about geometry, here:
https://brainly.com/question/30124665
#SPJ6
if angle BÂD=19°
Find angle ACB
Answer:
<ACB = 19°
Step-by-step explanation:
<BAD is a peripheral angle, meaning the angle it intersects is twice it. This means that arc AB is 2*19 or 38. Now, <ACB is an inscribed angle because it has a vertex on the circle. An inscribed angle is half the angle it intercepts. This means <ACB is 1/2 arc AB or 19.
Find the distance between the points G( – 5, 4) and H(2.6)
The exact distance between the two points is?
9514 1404 393
Answer:
√53 units
Step-by-step explanation:
The distance between G(-5, 4) and H(2, 6) can be found using the distance formula:
d = √((x2 -x1)² +(y2 -y1)²)
d = √((2-(-5))² +(6-4)²) = √(7² +2²) = √53
The distance between the two points is √53 units.
To make a cake, one pound of dry cake mix is needed. However, when pouring cake mix into the mixing bowl, 10% spills onto the floor and is unusable. What is the standard amount of cake mix necessary to make a cake
Answer:
it will be ten left
Step-by-step explanation:
the cake max is 20
Answer: 1.10 pounds
Step-by-step explanation:
solve for t..................................
Answer:
-4.375
.......................
a meayerologist at television station reported that a town received 0.90 inches of rain. Which fraction is equivalent to this amount of rain in inches?
Answer:
9/10
Step-by-step explanation:
0.90 = 0.9 = 90/100 = 9/10
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
A drink contains 20% mango juice and the rest is apple juice. What is the ration of mango juice to apple juice
Answer:
% of apple juice = 100-20 = 80%
mango : apple
= 20 : 80
= 1 : 4
Answer:
1:4
Step-by-step explanation:
20:80 is basically mango to apple juice, so all you have to do is simplify this ratio to the lowest form, which is in fact 1:4
Simplify 24 ÷ (3 + 2 square)
Answer:
3.42
Step-by-step explanation:
24/7=3.42
5x+8=3(x+2) anyone know the answer?
Step-by-step explanation
work out the question in bracket first then separate numericals and variables to make it easier.
Answer:
distribute
5 + 8 = 3 ( + 2 )
expand to
5 + 8 = 3 + 6
subtract 8 from both sides
5 + 8 = 3 + 6
5 + 8 − 8 = 3 + 6 − 8
simplify
5 = 3 − 2
subtract 3 from both sides
5 − 3 = 3 − 2 − 3
simplify
2 = − 2
then divide both sides by 2
2 / 2 = − 2/ 2
= − 2/ 2
answer is
= −1
Step-by-step explanation:
Hope that helps>3
simplify 81-19+218-412
Answer:
-132
Step-by-step explanation:
81+(218-19)-412
81+(199)-412
81+199-412
280-412
-132
THANK YOU
Answer:
-132
BRAINLIEST, PLEASE!
Step-by-step explanation:
Add and subtract two terms at a time until you reach the end.
does the table represent a function
Answer:
Yes, the table represents a function.
Step-by-step explanation:
A function doesn't have multiple x values (inputs).
If the table were to have more than one 5 (or more than one 4 etc.) in the input column then it would not be a function.
Alicia is writing the program for a video game. For one part of the game she uses the rule ( x,y) -> ( x - 3, y + 4) to move points on the screen. A) What output does the rule give when the input is ( -6, 0)? Show your work. B) What output does the rule give when the input is ( 3, -4)? Show your work. C) Is the rule a function? Explain why it is or why it is not. ( Show all work and you'll recieve Brainliest).
Answer:
See below.
Step-by-step explanation:
The rule moves points 3 units to the left and 4 units up.
(-6, 0) moves to (-6 - 3, 0 + 4) = (-9, 4)
(3, -4) moves to (3 - 3, -4 + 4) = (0, 0)
The rule is a function because each point is moved to exactly one new location. There is no case in which two different points are moved to the same location.
Quick answer only please
Step-by-step explanation:
The equation for circumference is
[tex]c = 2 \pi r[/tex]
Solve for circumference using the equation.
C = 2(3.14)(13)
C = 81.64 km
PLS HELP MEE , WILL MARKTHE BRAINLIEST PLS
Step-by-step explanation:
hopefully it is visible and makes sense
:)
Answer:
x=67 degrees
y=63 degrees (vertically opposite angles)
z=32 degrees
Step-by-step explanation:
x=130-63(sum of 2 interior angles of a triangle is equal to the opposite exterior angle)
x=67 degrees
y=63 degrees (vertically opposite angles)
z+y+85=180
z+63+85=180
z+ 148 =180
z =32 degrees
Write a two-step equation and solve.
Four more than six times a number is 22
Five less than eleven times a number is 50
Seven less than nine times a number is -16
Step-by-step explanation:
1) let the number=x
six times a number=6x
Condition:
6x+4=22
2) eleven times a number=11x
Condition:
11x-5=50
3) nine times a number=9x
Cindition:
9x-7=-16
Evaluate 4x + 5y , when x = 7 and y = 10
Hi ;-)
[tex]x=7 \ and \ y=10\\\\4x+5y=4\cdot7+5\cdot10=28+50=\boxed{78}[/tex]
Step-by-step explanation:
4x + 5y
4 × 7 + 5 × 10
28 + 50
78
Therefore its 78.
Write and solve an equation to find the numben.
The sum of twice a number and 13 is 75
Equation = 75
The number isn=
Answer:
32
Step-by-step explanation:
let number=b
twice a number=2b
Condition:
2b+13=75
2b=75-13
2b=62
b=62/2
b=31
Note:if you need to ask any question please let me know.
slove the simoltanous equation by using substitution or elimination method 5x-3y=1 3x+2y=1
By substitution method
5x - 3y =1
3x + 2y = 1
_____o____o____
[tex]5x - 3y = 1 \\ 5x = 1 + 3y \\ x = \frac{1 + 3y}{5} [/tex]
______o____o_____
[tex]3x + 2y = 1 \\ 3( \frac{1 + 3y}{5} ) + 2y = 1 \\ \frac{3 + 9y}{5} + 2y = 1 \\ \frac{3 +9y + 10y}{5} = 1 \\ \frac{3 + 19y}{5} = 1 \\ 3 + 19y = (1)(5) \\ 3 + 19y = 5 \\ 19y = 5 - 3 \\ 19y = 2 \\ y = \frac{2}{19} [/tex]
______o_____o____
[tex]x = \frac{1 + 3y}{5} = \frac{1 + 3 \frac{2}{19} }{5} \\ x = \frac{1 + \frac{6}{19} }{5} = \frac{ \frac{19 + 6}{19} }{5} = \frac{ \frac{25}{19} }{5} \\ x = \frac{25}{19} \div 5 \\ x = \frac{25}{19} \times \frac{1}{5} \\ x = \frac{5}{19} [/tex]
I hope I helped you^_^
HELP PLS!! PLS BRO LOLOLOLOL
Answer and Step-by-step explanation:
An easy way of doing this is to first square root the numerator and the denominator.
[tex]\sqrt{\frac{36}{81} } =\frac{\sqrt{36}}{\sqrt{81} } =[/tex] ±[tex]\frac{6}{9} =[/tex] ±[tex]\frac{2}{3}[/tex] <- This is the answer.
#teamtrees #PAW (Plant And Water)
I hope this helps!
Write 8-10 sentences of how math was used during the pandemic
^^i didn't really understand that one and yes ill give brainliest and yes I will report your answer if you put absurd stuff
Math in many areas is used to create models, mathematical systems the describe real-world situations.
During the pandemic, a model called exponential model was used to predict the how many people will get infected given certain parameters, such as infection rate, average age of population, ...
We picked this particular model because viruses spread at an exponential rate, just like for example bacteria division would be modeled with something like [tex]2^t[/tex] where t is day number. After 1 day there are 2, after 2 days there are [tex]4, 8, 16, 32, \dots[/tex] which is known as exponential behaviour -- viruses spread that way, first person gets infected, aka patient 0, then that person likely infects others and others likely infect more people.
In particularly [tex]R_0[/tex] also known as basic reproduction number was used as a base, that is, [tex]R_0^t[/tex].
You can see if, [tex]R_0\lt 1[/tex] then we have a reciprocating behaviour, less and less infected with time passing, this is ideal and it means the pandemic is waning.
However if, like in case with current pandemic, [tex]R_0\gt 1[/tex] then the behaviour is exactly the opposite, more and more get infected with time. The current pandemic had a highest [tex]R_0[/tex] of 6.49 with a mean of 3.28 and a median of 2.76.
That means at its heighest, 1 new infected person meant potentially 6 new infected people which meant 36 because each of them would probably infect which means [tex]216,1296,7776,46656,\dots[/tex].
So the main goal is to prevent [tex]R_0[/tex] from getting larger ie. minimization, that is why vaccination, masks, good hygiene.
Of course the model is much much more complex and parameterized.
The exponential model took a lot into account and came up with various prediction graphs of for example the next week.
The graphs served to the states to decide what to do next.
So in all, everything that you are witnessing was at some point just, math.
Hope this helps :)
Answer:
it was online math cause of the pandemic
Step-by-step explanation:
A chemist wants to mix an 8% salt solution with a 20% salt solution to obtain 12 liters of an 18% salt solution. How much of the 20% solution should she use?
a. 9 liters of the 20% solution
b. 6 liters of the 20% solution
c. 10 liters of the 20% solution
d. 2 liters of the 20% solution
C: 10 L of the 20% solution
Let
x = amount of 8% solution
y = amount of 20% solution
The chemist wants to end up with a 12-L mixture, so
x + y = 12
x L of 8% solution contains 0.08x L of salt, and y L of 20% solution contains 0.2y L of salt. When combined, the resulting mixture should have a concentration of 18% salt, or 18% of 12 L = 2.16 L of salt, so
0.08x + 0.2y = 2.16
Solve for y :
x = 12 - y
0.08 (12 - y) + 0.2y = 2.16
0.96 - 0.08y + 0.2y = 2.16
0.12y = 1.2
y = 10
Power supply on state X is terribly poor. Courses of Action: I) WAPDA should urgently take action against power theft. II) The government should generate more power.
The course of Action that should be undertaken is ; ( II ) The government should generate more power
The power supply in an area can be affected by several factors and some of these factors can be natural disasters or man made factors . the effects of these factors can lead to a reasonable decrease in power supply and some of these factors includes;
Bad weather conditions : such as Heavy thunderstorms, hurricanes and heavy flooding Low amount of generated power Inadequate generating companiesElectricity theft as well as other bad electricity practices.WAPDA is not charged with going after power thieves, they are saddled with the responsibility of harnessing hydropower resources to produce/generate enough clean electricity Therefore this course of action is not valid
The correct course of action that will improve the power supply on state X is for the government to generate more power through its agencies like WAPDA.
Hence the right course of action is The government should generate more power
learn more : https://brainly.com/question/22239770
The product of a rational number and an irrational number is always irrational.
A. True
B. False