1/216 as a power of 6 is 6^-3. The solution has been obtained by using the concept of exponents.
What is an exponent?
A number's exponent demonstrates how many times we are multiplying a given number by itself. For instance, 2^4, indicates that we are multiplying 2 itself by four times. 2*2*2*2 is its expanded form. The power of a number is another name for an exponent. A whole number, fraction, negative number, or decimal are all acceptable.
We are given 1/216 which is to be written as a power of 6.
We know that 216 is the cube of 6.
This means that 216 can be written as 6^3.
Also, 1/n is written as n^-1
So, 1/216 can be written as 6^-3.
Hence, 1/216 as a power of 6 is 6^-3.
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Use the zero product property to find the solutions to the equation (x + 2) (x + 3) = 12
OX= -6 or x = 1
OX=-3 or x = -2
x= -1 or x = 6
Ox=2 or x=3
Answer:
x = -6 and x = 1
Step-by-step explanation:
Given the equation (x + 2) (x + 3) = 12
Equate to zero;
(x + 2) (x + 3) - 12 = 0
Expand
x^2+3x+2x+6-12 = 0
x^2+5x - 6 = 0
Factorize
x^2 + 6x - x - 6 = 0
x(x+6)-1(x+6) = 0
(x+6)(x-1) = 0
x+6 = 0 and x -1 = 0
x = -6 and x = 1
Hence the zeros are x = -6 and x = 1
Answer:
It's A: -6 or 1
Step-by-step explanation:
Edg 2022
PLZ HELP ME & ANSWER CORRECTLY!!!!! NEED ANSWER ASAP!!!!!
Mica and Joy are standing at corner A of the rectangular field shown below.
Mica walks diagonally across the field, from A to corner C. Joy walks from corner A to corner B, and then to corner C. To the nearest hundredth of a mile, how much farther did Joy walk the Mica?
Answer:
0.54 miles more
Step-by-step explanation:
1. Find the Diagonal. d=w2+l2=1.252+0.752≈1.45774
2. 3/4+1 and 1/4=2 miles
3. 2 miles-1.46 estimate.
4. Solution...0.54
are these questions correct ?
Answer:
not all of em
Step-by-step explanation:
some are
A rectangular paddock has perimeter 100 m. Find the width of the paddock if its length is 30 m.
Answer:
Step-by-step explanation:
W= L x 2/P
= 30 x 2/ 100
= 60 /100 = 0.6
Was wondering if anyone knows the answer to part A and B for this question?
Answer:
no idea
Step-by-step explanation:
Answer:
k so from my opinion
I think the answer is gonna be a
plz I need help on this really bad :(
Answer:
x+3y=4x+y
Step-by-step explanation:
this is a yes or no question... if a box has equal and opposite forces acting on it, will the box be accelerate??
Answer:
no
............................
Joe has 1/2 of a cake he would like to split among 3 people. What part of the cake would each person get?
Answer:
1/6
Step-by-step explanation:
Given data
Joe has 1/2 of a cake
he would like to split among 3 people
n= 3
Hence each person will take
=1/2/3
=1/2*1/3
= 1/6 part of the cake
You work for a city department which is hosting a 5 kilometer run. Your coworker measured the course and doing that it is only 4.75 kilometers long. He ask you to move the finish line forward 0.25 kilometers. Your tape measure is measured in feet and inches. What is the distance he asked you to move in line in the nearest foot?
Answer:
820 feet
Step-by-step explanation:
We can use the rule of three in this scenario since this is a ratio problem with one unknown. To do this we simply multiply the diagonal values and divide by the final value. We know that there are a total of 3280.84 ft in a single kilometer, therefore...
1 km == 3280.84 ft
0.25 == x
(0.25 * 3280.84) / 1 = 820.21
Now we can see that there are 820.21 ft in the 0.25 kilometers. If we round this to the nearest foot we would round down to a total of 820 feet.
What is the slope and y intercept?
Answer:
slope: 1/2 Y Intercept: 25 (I'm just guessing by the coordinates (60,25)Step-by-step explanation:
Lets all remember rise over run to figure out slop and at coordinates (60, 25) we see that we go up 1 (rise) and go on the positive side 2 (run)
For the Y intercept (I'm really not sure about this answer) I figured it out by looking at the first point I saw (60, 25)
so I inferred that the y intercept is 25
i’m so confused by this does anyone have this figured out
Answer:
you have to find the angels
Step-by-step explanation:
At a carnival, the cost to play a bowling game is $2, plus $0.40 for each attempt to knock over the pins. Which inequality would you use to find the number of attempts you can make if you have less than $4.30
Answer:
a
Step-by-step explanation:
A gymnast scores a total of 125 points in the first 4 meets of the season. At this rate, how many points will she score by the end of 14 meets
Answer:
i dont know but will u date me
Step-by-step explanation:
13. Town officials are putting a pathway around a pool as shown below.
(4x+3)
pool
(2x-5) ft
deck
a) Determine the perimeter of the pool in terms of x. Write your answer in simple form and
include units. Show or explain your work.
b) Determine the area of the pool in terms of x. Write your answers as a trinomial and include
units. Show or explain your work.
Answer:
ghcfgnxfgxgfmvjbnjghjbnmxfhcgxfgcxgchmvjm
Step-by-step explanation:
good day
Please help me! 20 points!
Enter your answer and show all the steps that you use to solve this problem in the space provided.
What is the simplest form of the radical expression?
(in attachment)
I need some help please
Answer:
10x - 5
Step-by-step explanation:
Perimeter is found by adding up all the side lengths.
(2x-4) + (5x+6) + (3x-7) = 10x - 5
What multiplication fact could help me find out 24 ÷ 8 ?
Answer:
Step-by-step explanation:
That would be 8 x 3. It would help because 24/8 = 3.
-3/4x=-5
Please help fast!!!
Answer:
x=3.75
Step-by-step explanation:
-3/4x=-5
x-3 x-3
4x=15
/4 /4
x=3.75
Answer:
x = 3.75
Step-by-step explanation:
-3/4x = -5
(-3/4) -3/4x = -5(-3/4)
x = 3.75
Perry's bikes rent bikes for $18 plus $4 per hour. Lea paid $42 to rent a bike for how many hours did she rent the bike?
Answer:
10.5 hours!
Step-by-step explanation:
Factor the following expression completely.
2x^2y-18y
Answer:
Since both terms are perfect squares, factor using the difference of squares formula,
a2-b2=(a+b)(a−b) where a=x and b=3.2y(x+3)(x−3)
Step-by-step explanation:
hope this helps!!!
just the 11b. due in 12 hrs. Need this very soon. :) thx
Answer:
28 litres of mango juice will be required
Step-by-step explanation:
11). b. Internal dimensions of the rectangular prism are,
Length = 40 cm
Width = 20 cm
Height = 35 cm
Volume of the rectangular prism = Length × Width × Height
= 40 × 20 × 35
= 28000 cm³
Since, 1 cm³ = 1 mL
Therefore, 28000 cm³ = 28000 mL
Since, 1000 mL = 1 L
28000 mL = 28 L
Therefore, to fill this jar 28 L of orange juice will be required.
You select a marble at random and then put it back. If you do this eight times, what is the best prediction possible for the number of times you will pick a red marble?
Answer:
1/8
Step-by-step explanation:
The hospital is putting in a wheelchair ramp at one of its entrances. Only 6 feet of sidewalk can be covered by the ramp, and the ramp needs to reach 0.5 feet up the wall to reach the entrance. How long does the ramp need to be?
Answer:
3
Step-by-step explanation:
Which of the following is equivalent to 3^-8 × 3^4
3^-4
3^-2
3^-12
3^-32
Please help:
Find the class width of this graph
Answer:
The biggest one is 32 to 38
Step-by-step explanation:
hope it helps
Ming's school is selling tickets to a play. On the first day of ticket sales the school sold 8 adult tickets and 1 student ticket for a total of $95. The school took in $71 on the second day by selling 2 adult tickets and 7 student tickets. Define two variables for this situation. Write a system of equations to represent this situation. What is the price each of one adult ticket and one student ticket?
Answer:
Your answer.
8x + y = 95.........(1)
2x + 7y = 71........... (2)
Y = 95-8x........ (3)
Put this value in eq 2
Then x = 11
Put x value in eq 3
Y = 7
Thank you. And give my answer as Brainlist answer. Follow me for more
Step-by-step explanation:
Miles and Lucy decide to sell lemonade to earn some money. They buy pitchers, ice, and mix for a cost of $13.50. The mix makes 8 quarts of lemonade. They decide to sell one cup of lemonade for $0.75. If they sell all 8 quarts, how much revenue will they make and will they make enough to earn $12 each? (4c=1q)
Answer:
Altogether they made $24 which is enough to earn $12 each
Step-by-step explanation:
Important information:
1 cup: $0.75
4 cups = 1 quart
8 quarts of lemonade altogether
If we are looking to solve for the revenue earned based on quarts, we must first solve for how much money they make on 1 quart
Since 1 cup sells for $0.75 and 4 cups makes up a quart, we must multiply
0.75 × 4 = 3
They make $3 per 1 quart
We are looking for the amount for 8 quarts though, not just 1. Again we must multiply
3 × 8 = 24
They will make $24 if they sell all 8 quarts
The questions ask if they will each earn $12
Since there are two of them, Miles and Lucy, we must divide revenue earned by 2, the number of people
24 ÷ 2 = 12
$12
A bakery sold a total of 500 cupcakes in a day, and 390 of them were vanilla flavored. What percentage of cupcakes sold that day were vanilla flavored?
Answer:
Your answer
78% are vanilla
Mark it as Brainlist. Follow me for more answer.
Step-by-step explanation:
there are 16 appetizers available at a restaurant. From these, janet is to chose 13 for her party. How many groups of 13 appetizers are possible
Answer:
560
Step-by-step explanation:
The best way to do this is to write it out, but with large ones like this you should use the equation:
C(n,r) = n!/(r!(n-r)!),
where:
C(n,r) is the number of combinations;
n is the total number of elements in the set; and
r is the number of elements you choose from this set.
NEEd HELp ASAP AlGEBRA 1
Answer:
Step-by-step explanation: