Answer:
5^4-3
5¹
by law
a^m÷a^n= a^m-n
Solve the equation: 3/8g + 2 = 5
Answer:
3/8g + 2 = 5
Subtract the number 2 from both sides of the equation.
3/8g = 3
Now divide 3/8 from both sides of the equation.
3/8 divided by 3/8 equals 0. 3 divided by 3/8 equals 8.
The final answer is:
g = 8
------------------------------------------------------------------------------------------
Check your answer:
3/8g + 2 = 5
Substitute 8 into the spot where the variable g was.
3/8 X 8 + 2 = 5
So our answer x = 8 is true.
Step-by-step explanation:
I hope that this has helped you to understand this equation. If you have any questions please put them below in the comments. If there are no questions, please have a great rest of your day/night!
What is the slope of the following line?
2y - 6 = -6x
m = 6
m = 6
m = -6
m = -6
m = 2
m = 2
m = -3
d/d{cosec^-1(1+x²/2x)} is equal to
Step-by-step explanation:
[tex]\large\underline{\sf{Solution-}}[/tex]
[tex]\rm :\longmapsto\:\dfrac{d}{dx} {cosec}^{ - 1} \bigg( \dfrac{1 + {x}^{2} }{2x} \bigg)[/tex]
Let assume that
[tex]\rm :\longmapsto\:y = {cosec}^{ - 1} \bigg( \dfrac{1 + {x}^{2} }{2x} \bigg)[/tex]
We know,
[tex]\boxed{\tt{ {cosec}^{ - 1}x = {sin}^{ - 1}\bigg( \dfrac{1}{x} \bigg)}}[/tex]
So, using this, we get
[tex]\rm :\longmapsto\:y = sin^{ - 1} \bigg( \dfrac{2x}{1 + {x}^{2} } \bigg)[/tex]
Now, we use Method of Substitution, So we substitute
[tex] \red{\rm :\longmapsto\:x = tanz \: \rm\implies \:z = {tan}^{ - 1}x}[/tex]
So, above expression can be rewritten as
[tex]\rm :\longmapsto\:y = sin^{ - 1} \bigg( \dfrac{2tanz}{1 + {tan}^{2} z} \bigg)[/tex]
[tex]\rm :\longmapsto\:y = sin^{ - 1} \bigg( sin2z \bigg)[/tex]
[tex]\rm\implies \:y = 2z[/tex]
[tex]\bf\implies \:y = 2 {tan}^{ - 1}x[/tex]
So,
[tex]\bf\implies \: {cosec}^{ - 1}\bigg( \dfrac{1 + {x}^{2} }{2x} \bigg) = 2 {tan}^{ - 1}x[/tex]
Thus,
[tex]\rm :\longmapsto\:\dfrac{d}{dx} {cosec}^{ - 1} \bigg( \dfrac{1 + {x}^{2} }{2x} \bigg)[/tex]
[tex]\rm \: = \: \dfrac{d}{dx}(2 {tan}^{ - 1}x)[/tex]
[tex]\rm \: = \: 2 \: \dfrac{d}{dx}( {tan}^{ - 1}x)[/tex]
[tex]\rm \: = \: 2 \times \dfrac{1}{1 + {x}^{2} } [/tex]
[tex]\rm \: = \: \dfrac{2}{1 + {x}^{2} } [/tex]
Hence,
[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ \dfrac{d}{dx} {cosec}^{ - 1} \bigg( \dfrac{1 + {x}^{2} }{2x} \bigg) = \frac{2}{1 + {x}^{2} }}}}[/tex]
Hence, Option (d) is correct.
At a carnival game, you randomly throw two darts at the board and break two balloons. There are 15 balloons in total, 4 of them being purple. What is the probability that both the balloons you break are purple? Write your answer as a fraction.
Answer:
1/3.75
Step-by-step explanation:
Write an expression for the sequence of operations described below.raise 5 to the 10th power, then multiply the result by v
Answer:
5v^10
or
9765625v
Step-by-step explanation:
5^10 = 9765625
Ans multiplied by v (when we don't know the value of v) is 9765625v
Can someone help me do this
Mai sold t- shirts at a festival and made a profit of $83. She made $5 for each t-shirts she sold. Her total expenses were. How many t-shirts did she sell
Answer:
21 T-shirts, (this is just a thought of what i think i need to do) Hope it helps
Step-by-step explanation:
I think iv seen this question somewhere so did u forget to put 22?
Here is the explaination if u did...
5T -22 = 83
revenue minus expense = profit
5T = 83+22 = 105
T = 105/5 = 21 T shirts sold
Container A has 1600 ml of water and is leaking 12 ml per minute.
Container B has 2000 ml and is leaking 20 ml per minute.
Let m represest the number of minutes the contains are leaking.
How many minutes, m, will it take for the two containers to have the same amount of water
Answer:
at 50 minutes both containers will be at 1000 ml having the same amount of water
Step-by-step explanation:
look at the image
What is 3x+4(x-8)-14
[tex]\bigstar\boxed{\large\bf\purple{\leadsto 7x -46}}[/tex]
__________________________________________
[tex]\large\sf{\underline{Given:}}[/tex]
[tex]\sf{\longrightarrow 3x +4(x-8)-14}[/tex]
[tex]\sf{\longrightarrow 3x+ 4x-32-14}[/tex]
[tex]\sf{\longrightarrow 7x - 46}[/tex]
[tex]\large\sf{\underline{Hence,\:your\: answer\:is\:7x-46}}[/tex]
help me find x in this triangle
Answer:
x=176 degrees
Step-by-step explanation:
The first step to solving this is filling out any information we have. We know a solid line is 180 degrees, so the angle next to 92 must be 88.
We also know that the length of the line dividing 92 and 88 is equal to the other line with a small line in the middle. Because of this, the angle above the first 88 we found is also 88 degrees.
Now that we know two of the angles in the triangle add up to 176, we can figure out that the other angle is equal to 4. We know this because the sum of the interior angles of a triangle must equal 180.
This may seem off to you, but keep in mind that this diagram is likely not to scale.
Using the same rule we used for the first part we did, we can deduce that x equals 176.
please screenshot and graph for me this makes no sense
Answer:
The x-axis
Step-by-step explanation:
This line means, the line going through [tex](1, 0)[/tex] with [tex]m=0[/tex] means there is a flat line(m=0, 0 slope) with a y-value of [tex]0[/tex] from the point given.
So, the line is [tex]y=0[/tex], i.e. the x-axis.
So, graph the x-axis and we're done!
what are some typical transactions that students are likely to make?
Answer:
Typical transactions include ATM withdrawals, debit card payments, and e-transfers.
Plz help me I’m almost done
Answer:
The answer is B because x = 4 so 12x4-3=45
Answer:
[tex]15x + 12x - 3 + 75 = 180 \\ 27x = 180 - 75 + 3 = 108 \\ x = 108 \div 27 = 4 \\ a = 12x - 3 = 12 \times 4 - 3 = 48 - 3 = 45[/tex]
Ill give you brainly if I get it correct.
Answer:
142 degrees.
The angle of a straight line is 180. The angle of EAB is given as 38 degrees. 180 - 38 = 142.
Answer:
[tex]3x - 15 = 2x + 10 \\ 3x - 2x = 10 + 15 = 2 5 \\ x = 25 \\ 3x + 15 =75 - 15 = 60 \\ ebf = 3x - 15 + 38 = 60 + 38 = 98[/tex]
2. Given f(x) = -2x2 - 5, find f(-4).
8(11 - x) = 152
Solve for x
Suzy wants to go on her class trip to New York City. If Suzy earns $8 per hour babysitting, how many hours does she need to babysit in order to raise at least the $500 needed for the trip?
PLEASE HELP ME
Answer:
Suzy needs to work 62.5 hours, or 62 hours and 30 minutes.
Hope it helps!
Mr jones paid for a table using hire purchase plan if he made a deposit of $2000 and a monthly payment of $750 for 9 months , what did the table cost him
Answer:
138 I think
Step-by-step explanation:
2,000 - 750 ÷ 9 = 138
please help is due today!!!!! 15 points
Answer:
A
Step-by-step explanation:
you just follow the trail
Answer:
A - 2
Step-by-step explanation:
It can't be B or D, because the other triangle is bigger than the first one.
It is not 4 because if you count the squares, you will notice that b=2 and a=4. So the scale factor is 2.
What is the LCD of 2/3,4/5,7/10 and ?
Answer:
30
Step-by-step explanation:
2/3 = 20/30
4/5 = 24/30
7/10 = 21/30
Answer: 30
Step-by-step explanation: 2/3 = 20/30, 4/5 = 24/30, 7/10 = 21/30
y=4x-36
find the zero of each function by graphing
Answer: X = 9
Step-by-step explanation:
First insert the function into a graphing calculator.
We are trying to find the x intercepts, we substitute y=0.
With a graphing calculator look at where the line intercepts the x axis, (9,0) , and we find that x=9.
his friends eat 6/10 what fraction are left
Answer:
3/5
Step-by-step explanation:
4/10 are left. We can reduce it and get 2/5.
Hope it helps you!
[tex]JoyfulLass[/tex]
[tex]Genius[/tex]
[tex]IAmHereToHelpYou[/tex]
-3(5n-8)=-8(n-3)
Please Hurry
Answer:
[tex] - 3(5n - 8) = - 8(n - 3)[/tex]
[tex] - 15n + 24 = -8 n + 24[/tex]
[tex] - 15n + 8n = 24 - 24[/tex]
[tex] - 7n = 0[/tex]
[tex]n = \frac{0}{ - 7} [/tex]
[tex]n = 0[/tex]
Spot the mistake! help please
I will give 5 stars and a favorite
Answer: Diego's mistake is that he multiplied the exponents, instead of adding. The answer should be 2^3+^2= 2^5
how to order 4,\pi ,8 from least to greatest
Answer:
pi, 4, 8
Step-by-step explanation:
HELP PLEASE ASAP HELP!!!!!!!!!!
AWARD: 100 POINTS GIVEN!!!!!!!!
Smith was the top scorer in a women's professional basketball league for the 2006 regular season, with a total of 850 points. The number of two-point field goals that Lindsey made was 57 less than double the number of three-point field goals she made. The number of free throws (each worth one point) she made was 41 less than the number of two-point field goals she made. Find how many free throws, two-point field goals, and three-point field goals Lindsey Smith made during the 2006 regular season.
Answer:
She made 138, 179 two point field goals and 118
3-point field goals during the regular season
Step-by-step explanation:
Answer:
118, 138, and 179 points
Step-by-step explanation:
x = 3-point goals
2-point goals = 2x - 57
free throws = 2x - 57 - 41
3x + 2x * (2x - 57) + (2x - 57 - 41) = 850
3x + 4x - 114 + 2x - 98 = 850
9x = 1062
x = 118
2x - 57 = 2 * 118 - 57 = 179
2x - 57 - 41 = 138
PLEASE HELP ANSWER THIS QUESTION
(ILL GIVE BRAINLIEST TO THE BEST ANSWER TOO)
In Earth's southern hemisphere, the summer season is from December to March and winter is from June to September. The table shows the highest temperatures recorded at the South Pole for three different months.
Graph model:
South Pole Temperatures
Month Highest temperature (°F)
January 6
June –24
November –2
Each month's highest recorded temperature is plotted on the number line.
4. Which month had the coldest of the three temperatures? Explain.
Same question here answered by me with proper explanation.Visit the link below for your ans
https://brainly.com/question/24967986?
5=9+w over negative 3
Answer:
-4
Step-by-step explanation:
For brainily please help :/
Answer:
AB
Step-by-step explanation:
They are the shortest combined side
does anyone know this?
Answer:
Cube
Step-by-step explanation: