Guys please answer this. Im in dire need of your help! ):
why can we write 1/a^n=a^-n?
Answer:
Try to understand by substitute a number in a and n.
Step-by-step explanation:
For example,
a=2, n=1
a^n= 2^1= 2
[tex]\frac{1}{2}[/tex] = 0.5
2^(-1)=0.5
Step-by-step explanation:
[tex] \frac{1}{ {a}^{n} } = {a}^{ - n} [/tex]
~Math Induction
[tex] \: [/tex]
—Prove that n = 1
[tex] \frac{1}{ {a}^{1} } = {a}^{ - 1} [/tex]
[tex] \frac{1}{a} = \frac{1}{a} \to \sf proved[/tex]
[tex] \: [/tex]
—Prove that n = k
[tex] \frac{1}{{a}^{n}} = {a}^{n} [/tex]
[tex] \frac{1}{{a}^{k}} = {a}^{-k} , k \in \mathbb{R}[/tex]
[tex] \: [/tex]
—Prove that n = k + 1
[tex] \frac{1}{ {a}^{k + 1} } = {a}^{ - (k + 1)} [/tex]
[tex] \frac{1}{ {a}^{k + 1} } = {a}^{ - k} \times {a}^{ - 1} [/tex]
[tex] \frac{1}{ {a}^{k + 1} } = \frac{1}{ {a}^{k} } \times \frac{1}{ {a}^{1} } [/tex]
[tex] \frac{1}{ {a}^{k + 1} } = \frac{1}{ {a}^{k + 1} } \: \: \rm proved[/tex]
[tex] \: [/tex]
Proved that 1/a^n = a^-n
Identify the function shown in this graph
Answer:
i think its d
Step-by-step explanation:
not copying i think
Answer:
C - y = 3x - 2
Step-by-step explanation:
I took the test. Hope this helps! :)
Eddie is playing hide-and-seek with Harold and Gavin. Harold is hiding 12 meters south
of Eddie, and Gavin is hiding 16 meters east of Harold. How far apart are Eddie and Gavin?
whats 500x200÷90+35
Answer:1146.11111
500*200 = 100,000
100,000 / 90 = 1111.11111
1111.11111+35 = 1146.11111
Which model shows two equal expressions when c = 5?
c + 1 = 1 + 1 + 1 + 1 + 1 + 1
c + c = 1 + 1 + 1 + 1 + 1 + 1
c + c + c + c + c = 1 + 1 + 1 + 1 + 1
c + c + c + c + c = 1
I say.... The first one! :D
Answer:
C + 1 = 1 + 1 + 1 + 1 + 1 +1
Step-by-step explanation:
To find the area of a rectangle, multiply the length and the width.
The length of a rectangle is (X - 6) and the width of the rectangle is (x - 10). What is the area of the rectangle?
Answer:
Step-by-step explanation:
area = length * width
area = (x - 6) (x - 10)
area = x (x - 10) - 6 (x - 10)
area = x^2 -10x -6x -10
area = x^2 -16x -10
A tent is put up with 7 poles. How many tents can be put up with 200 poles?
Answer:
28
Step-by-step explanation:
200/7
=28.5714285714
Therefore, at most 20 tents can be put up.
PLS GIVE BRAINLIEST
Enter a range of values for x:
A
12
D
35°
20°
B
4X4
С
1
Answer:
The correct answer to the question is;
1 < x < 4
Step-by-step explanation:
The give parameters are;
ΔABC is an isosceles triangle, with the vertex angle = 35° + 20° = 55°
Therefore, the two base angles are 62.5° each by definition of isosceles triangle
Given that the angle subtended by 4·x - 4 which is 25° is lesser than the angle subtended by the 12 unit side length which is 35° we have;
4·x - 4 < 12
4·x < 12 + 4
∴ 4·x < 16
x < 16/4
x < 4
Therefore, the range is 1 < x < 4
Choose the fraction pair that is Not equivalent.
¾ and 75/100
-5/10 and -3/6
20/6 and 3 2/20
-1 1/3 and -4/3
What is the greatest common factor (GCF) of 40 and 50?
A.
10
B.
25
C.
200
Answer:
The GCF of 40 and 50 is
A 10
Answer: A
Because if u add 25 that goes into 50 not 40 u have to find the answer that goes to each number for the greater added therefore A 10 is the answer
Step-by-step explanation:
through: (3,3), parallel to y=8/3x+5
Answer:
(0,5)
Step-by-step explanation:
A baker sells bread for $4 a loaf and rolls for $1 each. The baker needs to sell $44 worth of baked goods by the end of the day.
Enter a linear equation that describes the problem.
The ratio of boys to girls in a group is 7:2. If there are 65 more boys than girls, work out how many boys there are.
低于当地人民：或立场上有一些事情了！儿女情长的好了吗我想做出
Answer:
91 boys
Step-by-step explanation:
Given that the ratio of boys to girls = 7 : 2 = 7x : 2x ( x is a multiplier )
There are 65 more boys than girls , thus
7x = 2x + 65 ( subtract 2x from both sides )
5x = 65 ( divide both sides by 5 )
x = 13
There are 7 × 13 = 91 boys in the group
Given g(x) = –2 – 1, solve for a when g(x) = 3.
Answer:
Submit Answer
For Anthony’s birthday his mother is making cupcakes for his 12 friends as daycare. The recipe calls for 3 1/2 cups of flour. This recipe makes 2 1/2 dozen cupcakes. Anthony‘s mother only has one cup of flour. Is there enough flour for each of his friends to get a cupcake.
Answer:
yes because he has 12 friends and the recipe makes 2 1\2 dozen cupcakes.
Step-by-step explanation:
Answer:
hope this helps :)
Step-by-step explanation:
Zachary sold 1/2 of a 40-acre lot. He then sold 3/5 of the remaining lot. What fraction of the land did he sell in all? (Write the fraction in simplest fractional form.)
With some species of bamboo, you can actually see them grow. You could observe 30 centimeters of growth in just 1 3 of a day. At what rate does this bamboo grow? Simplify your answer and write it as a proper fraction, mixed number, or whole number. centimeters per day
Answer:
90 centimetres per day
Step-by-step explanation:
Given that:
One of the Bamboo species growth can be seen.
Growth in [tex]\frac{1}{3}[/tex] of a day = 30 cm
To find:
The growth per day in centimetres as a proper fraction, mixed number or whole number.
Solution:
If we are given that:
The growth of a bamboo tree is [tex]y[/tex] centimetres in [tex]x[/tex] number of days.
Then growth per day can be found by dividing the total growth of bamboo tree by the number of days.
Formula can be written as:
Growth per day = [tex]\frac{y}{x}[/tex]
We are given that:
[tex]y = 30\ cm\\x = \frac{1}{3}\ days[/tex]
Putting the values, we get:
[tex]\dfrac{30}{\frac{1}3}\\\Rightarrow \bold{90\ cm}[/tex]
The local newspaper has letters to the editor from 10 people. If this number represents 4% of all of the newspaper's readers, how many readers does the newspaper have?
Answer:
The local newspaper has 250 readers in total
Step-by-step explanation:
Given that
Letter to the editor = 10
Also it is given that 10 is the 4% of total readers of the newspaper.
Let x be the number of readers of the newspaper
It can be written as:
[tex]10 = 4\%\ of\ x[/tex]
Converting the percentage into decimal
[tex]10 = 0.04x\\\frac{10}{0.04} = \frac{0.04x}{0.04}\\x = 250[/tex]
The newspaper has 250 readers.
Hence,
The local newspaper has 250 readers in total
Graph the function in your notebook. Determine whether the function is linear or nonlinear.
Answer:
It is linear because if all x values are different, it makes it linear.
if 60 of a number is 90 what is the number% of a number is 180 what is 150% of the number of beads. Hurry, it's for a test
Answer:
If 60% of a number is 90.
Suppose that the number is N.
60% of that number can be written as:
(60%/|00%)*N = 0.6*N = 90
Now we can solve that for N
0.6*N = 90
N = 90/0.6 = 150.
for the second part, we have that:
% of a number is 180, what is the 150%?
We do not have the first percentage, so i could not really answer this, so lets do it in a general way.
A% of a number N, is equal to 180.
(A%/100%)*N = 180
(A/100)*N = 180
Then:
N = 180*(100/A).
Now we want to compute the 150% of this number, this will be:
(150%/100%)*N
0.15*N = 0.15*180*(100/A). = 0.15*18,000/A = 2,700/A
Where A will depend on the first percentage.
What if i want my own room but there are six kids and only three rooms then what do i do
ps: its not a math question and what about the adults
Answer:
Ya gotta share
Step-by-step explanation:
Helppppppppppppppppppp
Answer:
∠KYR = 43 degrees
Step-by-step explanation:
1. We know that the entire angle equals to 90 degrees because it is a right angle.
First you have to find the value of c and to do this, you add the values of both angles and make it equal to 90
3c + 64 + 5c + 82 = 90]
8c + 146 = 90
- 146 -146
8c = -56
c = -7
Now we have to find the value of angle KYR so just plug in -7 for c
3(-7) + 64 = 43
Can get brainliest please?
solve the quadratic equation giving your answer to 3dp 3x^2+9x-10=0
please show workings out
Answer:
d= -1/px + 10/9px^2
Step-by-step explanation:
PLEASE HELP ME ITS ALGEBRA 1 ANYONE PLEASE !!!
Answer:
answer of this question is r=0.94
Answer: oh god
Step-by-step explanation:
Which of the following additional statements would you need to prove these two triangles are similar by SAS similarity?
1. ∠A ≅ ∠D
2. ∠B ≅ ∠E
3. ∠B ≅ ∠F
4. ∠C ≅ ∠F
Answer:
option 1
as the sides were already given, A and D are the only way that the triangle can have SAS.
The option 1 . ∠A ≅ ∠D is correct and needed to apply SAS similarity theorem in this given condition.
What is SAS (side angle side ) similarity theorem for two triangles?The SAS theorem states that if two triangles have a congruent angles and the sides that define the angle are proportional, the two triangles are similar.
Given are two triangles ΔABC and ΔDEF and their sides AB =7 , AC = 12, DE =14, DF = 24
Then AB/ DE = 7/14 = 1/2
and AC / DF = 12/24 = 1/2
∴ AB / DE = AC/ DF
Therefore the sides AB and AC are proportional to DE and DF
And for the application of SAS the angle defined by these pairs must be congruent.
AB and AC defines ∠A and DE and DF defines ∠D
Thus, ∠A must be congruent to ∠D so that SAS can be to applied to make the given triangles similar.
Therefore, option 1. ∠A ≅ ∠D is correct option
Also, learn more about SAS similarity theorem from the link below:
https://brainly.com/question/22472034
#SPJ2
Mary is going to have an outdoor party in 10 days. She wants to have her backyard pond covered in water lilies before the party, so she goes to the nursery to buy some water lilies. Mary gives the clerk the dimensions of her pond, and the clerk, knowing the growth rate of the water lilies that he stocks, calculates that if she purchases a single water lily, it will produce a population of ten thousand lilies that will completely cover the surface of the pond in 20 days. Mary reasons that if she buys two water lilies instead of one, she can meet her goal of having the pond surface covered in 10 days. Is there anything wrong with Mary's reasoning? How many water lilies will Mary need to buy to meet her goal?
Answer:
a. There is nothing wrong with Mary's reasoning b. 2 water lilies.
Step-by-step explanation:
a. This is because, she reasons that if she doubles the amount of water lilies she buys, it would take half the time it takes to produce 10,000 lilies. So, there is nothing wrong with Mary's reasoning.
b. Since it takes 1 water lily to produce 10000 lilies in 20 days, 1 water lily will produce x lilies in 10 days.
So, x = 10000 × 10/20 = 5000 lilies
So, 1 water lily produces 5000 lilies in 10 days.
So, x water lilies will produces 10000 lilies in 10 days.
So x = 10000 × 1/5000 = 2 water lilies
So, 2 water lilies will produce 10000 lilies in 10 days.
So, Mary needs 2 water lilies so she can meet her goal of having the pond surface covered in 10 days.
What expression is equivalent to 4(4d)
Answer:16d
Step-by-step explanation:
a cleaning service orders 7 large bottles and 14 small bottles of a cleaning product.Each large bottle has 124 ounces.Each small bottle has 64 ounces. which is the best estimate of the total amount of cleaning product the cleaning service orders?
I need help please!!
Answer: small bottles
Step-by-step explanation:
124 * 7 =868 ounces
14 * 64 = 896 ounces
q1) find 80% of £120
q2) find 60% of £980
PLease show working thank uh
q1, 96£ q2, 588€
Step-by-step explanation:
q1, 120€×80/100 the zeroes are cancelled then 12×8=96€
q2, 980€ × 60/100 again the zeroes are cancelled then 98×6= 588€
Neil invested £8000 in a savings account for 2 years. He earned £640 simple interest over the two years.
What was the interest rate?
Answer:he account pays 5% simple interest per year. ... 6) Neil invested £8000 in a savings account for 2 years. He earned £640 simple interest over the two years.
Step-by-step explanation: