Step-by-step explanation:
3.141592653............
6^9+6^8)/(6^8*6^-9)
HELP PLS
Step-by-step explanation:
Question:-To simplify the expression Expression:-[tex] \frac{( {6}^{9} + {6}^{8} )}{( {6}^{8} \times {6}^{ - 9} )} [/tex]Solution :-[tex] = \frac{( {6}^{9} + {6}^{8} )}{( {6}^{8} \times {6}^{ - 9} )} [/tex]
[In numerator we take 6^8 common][tex] = \frac{ {6}^{8} ( {6} + 1)}{( {6}^{8} \times {6}^{ - 9} )} [/tex]
[On Simplification][tex] = \frac{( {6}^{8} \times 7)}{( {6}^{8} \times {6}^{ - 9} )} [/tex]
[In denominator as we know, a^x × a^y = a^(x+y)][tex] = \frac{( {6}^{8} \times 7)}{( {6}^{8 + ( -9)} )} [/tex]
[On Simplification][tex] = \frac{( {6}^{8} \times 7)}{( {6}^{ - 1} )} [/tex]
[As we know, 1/a^-1 = a ][tex] = {6}^{8} \times 7 \times 6[/tex]
[On further multiplying of 6][tex] = {6}^{9} \times 7[/tex]
Result:-In exponential form:
[tex] = {6}^{9} \times {7}^{1} (ans)[/tex]
In numerical form:
70,543,872 (Ans)
[tex] \huge \: \bf \: Question:—[/tex]
[tex] \sf \longmapsto6^9+6^8)/(6^8 \times 6^{-9})[/tex]
[tex]\huge\bf Solution:—[/tex]
[tex]\sf \longmapsto \: \dfrac{ {6}^{9} + {6}^{8} }{ {6}^{8} \times {6}^{ - 9} } [/tex]
[tex]\sf \longmapsto \dfrac{10077696 + {6}^{8} } { {6}^{8} \times {6}^{ - 9} } [/tex]
[tex]\sf \longmapsto \dfrac{10077696+1679616}{ {6}^{8} \times {6}^{ - 9} } [/tex]
[tex]\sf \longmapsto \: \dfrac{11757312}{{6}^{8} \times {6}^{ - 9}} [/tex]
[tex]\sf \longmapsto \dfrac{11757312}{1679616(6 {}^{ - 9} )} [/tex]
[tex] \boxed{\bf \: As \: a^{-n} = 1/a(n) \: ,}[/tex]
[tex]\sf \longmapsto \dfrac{11757312}{1679616 \bigg(\dfrac{1}{10077696} \bigg )} [/tex]
[tex]\sf \longmapsto \dfrac{11757312}{ \dfrac{1}{6} } [/tex]
[tex]\sf \longmapsto \: \: 70543872[/tex]
[tex] \boxed{\bf \: \: \: Convert\: 70543872 \: to\: scientific \: notation}[/tex]
[tex] \sf \longmapsto \: 7.0543872 × 10 {}^{7} [/tex]
[tex]\boxed{ \bf \: \: Convert\: 70543872 \: to\: exponent}[/tex]
[tex]\sf\longmapsto {6}^{9} \times 7 [/tex]
_________________________________
[tex] \boxed{\bf \: Answer\: in\: Number}:—[/tex]
[tex] \boxed{\bf \: 70543872}[/tex]
[tex]\boxed{ \bf \: Answer\: in\: Exponent:—}[/tex]
[tex] \boxed{\bf \: {6}^{9} \times 7}[/tex]
[tex]\boxed{\bf Answer\: in\: Scientific\: Notation:—}[/tex]
[tex]\boxed{ \bf \: 7.0543872 × 10 {}^{7} }[/tex]
HURRY!
Given the function ƒ = {(1 , 2), (2 , 3), (3 , 4)} write the set of ordered pairs representing ƒ -1.
Select one:
a. {(1, 2), (3, 2), (4, 3)}
b. {(2,1), (3, 2), (4, 3)}
c. {(2, 1), (2, 3), (3, 4)}
The set of ordered pairs is {(2, 1), (2, 3), (3, 4)} which represents ƒ -1, which is the correct answer that would be an option (C).
What is an ordered pair?An ordered pair is made up of two components isolated by a comma and put inside parentheses. (x, y) indicates an ordered pair, where 'x' is the first component and 'y' is the second component in the ordered pair.
Given the function ƒ = {(1 , 2), (2 , 3), (3 , 4)}
According to option (A),
The set of ordered pairs is {(1, 2), (3, 2), (4, 3)}
This represents ƒ -3,
According to option (B),
The set of ordered pairs is {(2,1), (3, 2), (4, 3)}
This represents ƒ -2,
According to option (C),
The set of ordered pairs is {(2, 1), (2, 3), (3, 4)}
This represents ƒ -1,
Thus, the set of ordered pairs is {(2, 1), (2, 3), (3, 4)} which represents ƒ -1.
Hence, the correct answer would be option (C).
Learn more about the set of ordered pairs here:
https://brainly.com/question/10197233
#SPJ2
A gardener measures the dimensions of a rectangular garden that is 9 meters wide by 12 meters long. If the gardener draws a blueprint of the garden, where each meter is equivalent to
inch, which statements are true?
Select ALL that apply.
The area of the blueprint is square inches
The area of the blueprint is 108 square inches
The length of the blueprint is 6 meters
The perimeter of the blueprint is 28 inches.
The width of the blueprint is 8 meters
Calculator
Answer:
Catalog Name:*Shimmering Chic Earrings*
Base Metal: Alloy
Plating: Gold Plated
Stone Type: Cubic Zirconia/American Diamond
Type: Jhumkhas
Multipack: 1
Easy Returns Available In Case Of Any Issue
*Proof of Safe Delivery! Click to know on Safety Standards of Delivery Partners- https://ltl.sh/y_nZrAV3
The statements are true:
The area of the blueprint is square inches
The area of the blueprint is 108 square inches
What is Area of rectangle?The Area of Rectangle is product of its length to its width.
So, Area of Rectangle = length x width
Given:
length= 12 inch
and width= 9 inch
Area of Blue print = l x w
= 12 x 9
= 108 square inches.
Perimeter of Blue print = 2 ( l+ w)
= 2( 12+ 9)
= 42 inches
Learn more about Area of rectangle here:
https://brainly.com/question/20693059
#SPJ2
Find the quotient.
3/8÷ 2/7
3/28
1 5/16
16/21
1 3/28
Answer:
B
Step-by-step explanation:
[tex] \frac{3}{8} \div \frac{2}{7 } \\ = \frac{3}{8} \times \frac{7}{2 } \\= \frac{21}{16} \\ = 1 \frac{5}{16} [/tex]
Ben made some apple pies. For every 4 cups of butter, he added 3 cups of water. The ratio of butter to water in Ben's apple pies is ____. (5 points)
Question 1 options:
1)
2)
3)
3
4)
4
Answer:
4 Trust me
Step-by-step explanation:
At a video arcade, the action video games this week cost $25, which is 125% of last week's price. What was its price last week?
A. $20
B. $15
C. $40
D. $25
Answer:
A
Step-by-step explanation:
125% of 25 is the same as 5/4 of 25.
Divide by 5 and you get 5. 1/4 is 5, so 100% or 4/4 is 20
Answer:
it's a
Step-by-step explanation:
trust
\sqrt((x-(1)/(2))^(2))=3.5
Answer:
8
Step-by-step explanation:
sqrt((x-1)/2)^2))=3.5
square root and squared cancel out
(x-1)/2 = 3.5
x-1 = 7
x = 8
How to find the derivative???
Answer:
[tex]y'= \dfrac{2}{3}e^{2x + e^{2x}/3}[/tex]
Step-by-step explanation:
We have [tex]e^{2x} = \ln(y^3)[/tex] and we want the implicit differentiation [tex]\dfrac{dy}{dx}f(x) = y'[/tex]
Therefore, we want to separate the [tex]y[/tex] from the equation.
[tex]\ln(y^3) =e^{2x} \implies 3 \ln(y) = e^{2x} \implies \ln(y) = \dfrac{e^{2x} }{3}[/tex]
[tex]\implies e^{\ln(y)} = e^{e^{2x}/3} \implies \boxed{y = e^{e^{2x}/3}}[/tex]
Now we can calculate the derivative. By the chain rule,
[tex]y' = \dfrac{d}{dx}\left(e^{e^{2x}/3}\right) = e^{e^{2x}/3}\dfrac{d}{dx}\left(\dfrac{e^{2x}}{3}\right)[/tex]
Now
[tex]\dfrac{d}{dx}\left(\dfrac{e^{2x}}{3}\right) =\dfrac{1}{3}\dfrac{d}{dx}\left(e^{2x}\right) = \dfrac{2}{3}e^{2x}[/tex]
Therefore
[tex]y' = e^{e^{2x}/3}\cdot \dfrac{2}{3}e^{2x} = \dfrac{2}{3}e^{2x + e^{2x}/3}[/tex]
HELP PLEASE!!! 50 POINTS INCORRECT ANSWERS WILL BE REPORTED.
Expression:
Simplify 2s - s + 6s
Please explain step by step how I get the answer to get marked as brainliest
Answer:
7s.
Step-by-step explanation:
2s - s + 6s (Given)
Rembember that - s is the same as - 1s because there is an invisible 1.
So, 2s - 1s = 1s or s.
1s + 6s = 7s.
2s - s + 6s (Given)
7s (Combine like terms)
hlep me pls daddddddddddddddddddddddddddddddddy
Answer:
The equation would be 2(n+3)-6. So A.
Step-by-step explanation:
It is asking you to subtract first and you cannot do that without parentheses.
Answer:
First ONE
Step-by-step explanation:
First you are adding 3
n+3
then you mulitply by 2
so, its 2(n+3), you have to put in bracket because you want to do addition first
then you subtract everything by 6
its 2(n+3)-6
25% of Santa's 9 reindeer were playing reindeer games. How many of Santa's reindeer were NOT playing reindeer
games?
Answer:
75%, or 7
Step-by-step explanation:
100-25=75
75% of 9 is 6.75 (because 9x0.75)
so we can round to 7, unless there's a decapitated reindeer involved
Answer: 6.75
Step-by-step explanation:
for this math problem we need to find the percentage and subtract that from the original number ( 9 ) . . .
what is 25% if 9 ? 2.25
what is 9 - 2.25 ? 6.75
I need help. I have to find X to solve the equation.
Answer:
x=17.333
Step-by-step explanation:
3x+8=60
3x=60-8
3x=52
x=52\3
x=17.333
*WILL GIVE BRAINLIEST FOR BEST ANSWER*
Jasper won the raffle at the zoo and gets to feed the dolphins! The dolphin trainer gives Jasper a bucket of fish to divide evenly among 4 dolphins. Each dolphin gets 3 fish.
Which equation can you use to find the number of fish f in the bucket before Jasper feeds the dolphins?
Solve this equation for f to find the number of fish in the bucket before Jasper feeds the dolphins.
fish
The number of fish in the bucket before Jasper feeds the dolphins was 12.
Since Jasper won the raffle at the zoo and gets to feed the dolphins, and the dolphin trainer gives Jasper a bucket of fish to divide evenly among 4 dolphins, and each dolphin gets 3 fish, to find the number of fish F in the bucket Before Jasper feeds the dolphins, the following equation must be performed:
Number of dolphins = D Fish for each dolphin = E Total fish = F D x E = F 4 x 3 = F 12 = F
Therefore, the number of fish in the bucket before Jasper feeds the dolphins was 12.
Learn more about maths in https://brainly.com/question/25843658
Evaluate g(10) of g(x) =1/2x -4
Answer:
g(x)= 1
Step-by-step explanation:
[tex]g(x) = \frac{1}{2} x - 4 \\g(10) = \frac{1}{2} (10) = 5 \\ 5 - 4 = 1[/tex]
Ellie and Isaiah are helping their friend Nora move. If Ellie can move 4 boxes for
every 16 boxes that Isaiah moves, then how many boxes can Isaiah move for every
box that Ellie moves?
Answer:
Isaiah can move 4 boxes for every box Ellie moves.
Pls give brainliest. :D
Johnny has a box filled with 10 black marbles and 5 purple marbles.What are the odd he pulls two purple marbles in a row without replacemnet
Answer:
2/21
Step-by-step explanation:
The first purple is 5/15 and the second is 4/14. Multiply them together to get 2/21.
1 less then the quotent of a number n and 6
" the quotient " means divide
(n/6) - 1 <== ur expression
Homework: Ch 5.2
Question 1, 5.2.3
HW Score: 25%, 2 of 8 points
O Points: 0 of 1
Save
A recipe for 14 banana-nut mutins calls for 1 cup of flour. The number of muffins that can be made varios directly with the amount of flour used. There are 2.2 cups of flour available. How many muffins can be made?
Answer:
30 muffins
Step-by-step explanation:
2.2 cups of flour is 2.2 times the 1 cup quantity required for 14 muffins. Since muffins are proportional to flour, that means 2.2 times 14 muffins can be made. That is ...
2.2×14 = 30.8
30 whole muffins can be made.
_____
Additional comment
If each muffin is made about 0.6% smaller than for the standard recipe, then 31 muffins could be made from 2.2 cups of flour. Usually, this change in size will not be noticeable.
Describe how to find all the points on a baseball field that are equidistant from second base and third base.
In the figure, m∠DBE=50. Find each of the following.
m∠BEDm angle b e d
m∠BEAm angle b e eh
x
y
BE
BC
From the given diagram, the following statements are true:
AB = BC
3y = 5y - 22
3y - 5y = -22
-2y = -22
y = 11
Similarly, m<DBE = 50 degrees
m<BED = 90 - m<DBE
m<BED = 90 - 50
m<BED = 40 degrees
Since BE = BC = 3y
BE = BC = 3(11) = 33
Also, 7x - 2 = 40
7x = 40 + 2
7x = 42
x = 6
Get the measure of m<BEA
m<BEA = 7x - 2
m<BEA = 7(6) - 2
m<BEA = 40 degrees
Learn more on angles here: https://brainly.com/question/16281260
pls help me . Eleven family members are going on a trip together. They have cars that fit only 4
people. How many cars will they need to take? help
Answer:
3.
Step-by-step explanation:
Since there are 11 family members and only 4 people fit in a car, they will have to take 3 cars.
4 x 3 = 12,
Also, even though there is going to be 1 seat extra you cannot squeeze 3 people in. Ps. (Just a safety note) In real life it is illegal to drive with extra passengers in a vehicle.
Hope that helps. x
Answer:
3
Step-by-step explanation:
3×4=12 so will still have one vacant seat on one of the cars
WILL GIVE BRAINLIEST
Answer:the slope of the line is 5/3
The y-intercept is 0
Step-by-step explanation:
Answer:
C and E
Step-by-step explanation:
which graph shows the Same and behaviour as the Graph of F(x) = 2X^6=2x²2-5
Given function:-
f(x) = 2x6 – 2x2 – 5.In order to find the end behavior of the graph, we need to find the degree of the given function and the leading coefficent.Degree of the given function is the highest power of the variable.
We have variable x there.
Highest power of x is 6.So, we can say:
Degree = 6 ( an even degree)
And leading coefficent is the coefficent of highest power term.
We have highest power term is 2x^6.
So, the leading coefficent is : 2 (Positive number)
For even degree and positive leading coefficent, end behaviour is
x --> ∞ f(x) = +∞
x-->-∞ f(x) = +∞
Good evening my daughter needs help with the following. thank you
Answer:
3 x 9 = 3 x (5 + 4)
= 15 + 12
= 27
Step-by-step explanation: First you split 9 into 2 parts and ask what plus what equals 9? 5 + 4 = 9 so you got the first equation 3 x (5 + 4).
Then 3 x 5 = 15 and 3 x 4 = 12 so you got the equation 15 + 12 = 27
the product of seven non-zero factors. of which only three are positive. is
a) positive
B) negative
c) null
The answer is A
Step-by-step explanation: This is one of those sneaky questions where you think there is no definite answer, but don't despair. There is an answer. You have 7 numbers 3 of them are positive which means greater than 0. Let's pick them 345 = 60 That part's easy. Those 3 numbers give a plus result. Now try the other 4 numbers -3 -2 - 1-4 Do you see what's going to happen. You have -3* - 2 = 6 then you get - 1*-4 = 4 All of a sudden you get a positive result 6 * 4 = 24 60 * 24 = 1440 So the answer is any 3 plus numbers multiplied by 4 minus numbers gives a plus result.
Of 7 non-zero factors, 3 are positive, so the other 4 are negative. Multiplying two negatives gives a positive number. So on its own, the product of all the negatives is positive, and multiplying by the other 3 positive numbers makes the overall product positive.
If sin A = 3/4, then the value of tan A
[tex]sinA=\frac{3}{4}[/tex] ⇒ ∠A ≈ 49°
tanA ≈ 1.15
ok done. Thank to me :>
A middle school took all of its 6th grade students on a field trip to see a play. The students filled 1917 seats, which was 45% of the total number of seats in the theater. How many total seats were in the theater?
Answer:
4260 seats in the theater
Step-by-step explanation:
We write the equation 0.45x=1917, with x representing the total number of seats.
Multiply both sides by 100, we get 45x=191700.
Divide both sides by 45, we get x=191700/45
x=4260.
There are 4260 seats in the theater.
The total number of seats is the theater is 4,260.
Percentage:
The percentage is a ratio or fraction of 100 and can be calculated with the formula
Percentage = [tex]\frac{parts}{whole}.100[/tex]
How to calculate percentage?Here we have given that the 1917 seats is 45% of the total seats
Let the total number of seats available in theater is = x
Then 45 % of x = 1917
0.45 x = 1917
Multiply both the sides by 100 we have
45 x = 1917x100
x = [tex]\frac{191700}{45}=4260[/tex]
The final answer is 4,260 seats
Learn more about Percentage here-
https://brainly.com/question/843074
#SPJ2
100 points ‼️ (I would give more but that’s the limit)
HELP!!!
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match the multiplication expressions to the exponential expressions.
Answer:
Step-by-step explanation:
1. When two lines cross, the opposite angles are ___________ angles and are congruent. *
Straight Angle
Adjacent Angles
Angle Addition Postulate
Vertical Angles
2. Two angles that share a side and a vertex but do not overlap. *
Straight Angle
Adjacent Angles
Angle Addition Postulate
Vertical Angles
3. Two angles whose measures add up to 180 degrees. *
Angle Addition Postulate
Adjacent Angles
Supplementary Angles
Vertical Angles
Answer:
1. vertical angles
2. Adjacent angles
3. Supplementary angles
Step-by-step explanation: