Answer:
1200
Step-by-step explanation:
A difference of 2 squares factors in general as
a² - b² = (a - b)(a + b) , then
103² - 97²
= (103 - 97)(103 + 97)
= 6 × 200
= 1200
The correct answer is 1200.
What is the difference between two squares called?Where one perfect square is subtracted from another, is called a difference of two squares. It arises when (a − b) and (a + b) are multiplied together. This is one example of what is called a special product.
A difference of 2 squares factors in general is written as
a² - b² = (a - b)(a + b) , then
103² - 97²
= (103 - 97)(103 + 97)
= 6 × 200
= 1200
Learn more about the difference of 2 squares here https://brainly.com/question/3189867
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Please help!! will mark branliest
6.7 problem 13
A rubber ball is dropped onto a hard surface from a height of 8 feet, and it bounces up and down. At each bounce it rises to 85% of the height from which it fell. (Hint: Read all units carefully!)
(a) Find a formula for h(n), the height in inches reached by the ball on bounce n.
h(n)=
(b) How high will the ball bounce on the 8th bounce?
h=
(c) How many bounces before the ball rises no higher than an inch?
Answer:
a. After the first bounce, the ball will be at 85% of 8 ft. After 2 bounces, it'll be at 85% of 85% of 8 feet. After 3 bounces, it'll be at (85% of) (85% of) (85% of 8 feet). You can see where this is going. After n bounces the ball will be at
[tex]h(n) = (85\%)^n 6ft = (\frac{17}{20})^n(6ft\times 12\frac{in}{ft}) = (\frac{17}{20})^n\times72'[/tex]
b. After 8 bounces we can apply the previous formula with n = 8 to get
[tex]h(8)=(\frac{17}{20})^8\times 72' = 19.62'[/tex]
c. The solution to this point requires using exponential and logarithm equations; a more basic way would be trial and error using the previous [tex]h(n)[/tex]increasing the value of n until we find a good value. I recommend using a spreadsheet for that; the condition will lead to the following inequality:
[tex]1>(\frac{17}{20})^n\times 72[/tex] Let's first isolate the fraction by dividing by 72.
[tex](\frac{17}{20})^n<\frac1{72}[/tex] Now, to get numbers we can plug in a calculator, let's take the natural logarithm of both sides:
[tex]ln ((\frac{17}{20})^n) < ln \frac 1{72} \rightarrow n\times ln (\frac{17}{20}) < -ln72[/tex]. Now the two quantities are known - or easy to get with any calculator, replacing them and solving for n we get:
[tex]-(0.16)n < - 4.27 \rightarrow n>26.31[/tex] Now, since n is an integer - you can't have a fraction of a bounce after all, you pick the integer right after that, or n>27.
a rule in a relation in which each input is paired with, or assigned to, exactly one output.
Answer:
Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.
Step-by-step explanation:
i need help math hard
Answer:
15°
Step-by-step explanation:
7/12 of £72!!!!
i really need the answer lol
Answer: Its ¨undefined¨ hope this helps !!
Answer: 42
Step-by-step explanation:
1/12 of 72 is 6
6x7 = 42
X+y=2 x-y=4 solve using elimination
(3, -1) Looking at the two equations I see that you have a+ y in equation one and − y in equation two. By adding the two equations together I will eliminate the y variable and then you can solve for x.
Work out the circumference of this circle.
Take it to be 3.142 and write down all the digits given by your calculator.
10 cm.
Answer:
62.84
Step-by-step explanation:
pie=3.142
c=pie * diameter
r=10cm
d=2r
d=2(10)=20cm
c=3.142 * 20
c=62.84
Step-by-step explanation:
Formula for the Circumference of a circle = 2πr
C = 2πr
C = (2 * 3.142) * 10
C = 6.284 * 10
C = 62.84cm
In a school 2/3 of the students study a language
Of those who study a language, 2/5 study french
Find the ratio of students who study French to students who do not study french. Give your answer in it simplest form.
Answer:
4:6
or 4/15 : 2/5
Step-by-step explanation:
Someone help mah
A die was rolled six times. The rolls were 1. 2. 3.3.4. and 5. What is the mean deviation for this data?
A) 3/5
B) 1
C) 2
D) 6
Answer:
3
Step-by-step explanation:
1+2+3+3+4+5
6
=18 =3
6
=3
How many football fields are 1.4 billion acres
Answer:
67760000000
Step-by-step explanation:
Please help !!!!!!
Carl is looking for tickets to a concert. Last week he found them for $35.00 each ticket. This week the price is $54.00 for each ticket. Did the price increase or decrease? What was the percent change in price? (Show all of your work)
Answer:
See Below
Step-by-step explanation:
Lets note some facts,
Last weeks price for tickets: $35
This weeks price: $54
If you were to ask if these numbers increased or decreased, the numbers increased.
It increased by 19%, for as 19 dollars.
Hope this helps!
a shop produces 39 salt lamps in 2 weeks. how many salt lamps will they produce in 22 weeks?
Answer:
You will sell 429 salt lamps in 22 weeks.
Step-by-step explanation:
help me brain pt Part 2
Help please this is for a exam i give brainliest to!
Which expression results in a sum or difference of 4 9/36?
A: 8 2/3 - 4 5/12
B: 2 3/12 + 2 1/3
C: 6 5/9 - 2 1/4
D: 3 1/4 + 1 4/9
NO LINKS!!!
Answer:
The Answer is A. :)
Step-by-step explanation:
write an expression 4 and 4 added to double 5
Answer: (4*4) + (2*5)
20x29 devided by 9+20=?
help
Answer:
20
Step-by-step explanation:
[tex] \frac{20 \times 29}{29} = 20[/tex]
Answer:
20X29 devided by 9+20=84.4444444444
Draw a circle. Shade five sixths of it. What percent circle is not shaded?
What is the median of 8,19,36,46,56
Answer:
median = 36
Step-by-step explanation:
The median is the middle value of the data arranged in ascending order.
8 19 36 46 56
↑ middle value
median = 36
what is the current produced by a 9-v battery flowing through a resistance of 150 ω
Answer:
Step-by-step explanation:
A standard 9V battery has about 400-600 mAh capacity. In the most basic terms, these batteries can supply about 500 milliamps for one hour before being "dead".
What is theValue of x ?
Answer:
10
Step-by-step explanation:
x is 10
Find the slope of the line graphed below. 21 points!
Answer:
The answer is 1.5
Step-by-step explanation
First you want to find the rise. This is the amount of height between the two points (Y) and divide them over the run. This is amount of distance (X) between the points. This will be 6/4. Divide this and you have your answer!
Please help if it's right I'll give brainliest
Answer:
Since XBC is 55 degrees and triangle BXC is isosolese, angle BCX is also 55 degrees. 180 - 110 = 70
so angle BXC is 70 degrees.
Find the measure of each angle indicated.
Answer:
alot of 5
Step-by-step explanation:
Write the function in slope-intercept form
4y=-8x-10
WILL MARK BRAINLIEST
Answer:
Y=2x- 5
-----
2
Step-by-step explanation:
help meeeeeee.....!!!!
I WILL MARK BRAINIEST!!!
Answer:
X = 35/8
Y = -5
7/8 times 7/9 what is the answer
write an equation of the line passing through (2,-3) and is parallel to the line y=-2x-3. I need it done fast 40 points
Answer:
y = -2x + 1
Step-by-step explanation:
A parallel line has the same slope but different y-intercept.
Transfer the slope (-2) and the ordered pair (2, -3) into point slope form.
Then make it from point slope form to slope intercept.
Hope this helps you. :)
What is the value of x in the equation 5x(34+20) =36
Answer:
x=3.6
Step-by-step explanation:
parentese first so add 34+20= 54
5x54=36
-54=-54
5x= -18
5x/5x -18/5x
x= 3.6
40 pts & Brainliest to first Correct. PLZ HELP ASAP
Answer: [tex]16x^4y^2a^6[/tex]
Step-by-step explanation:
just apply to the power of 2 to every term
-4 times -4 is 16
x^2 to power of 2 is 2 times 2 so x^4
y^2 is y^2
a^3 to power of 2 is 3 x 2 = 6 so a^6
16x^4y^2a^6
Answer:
16x^4y^2a^6
Step-by-step explanation:
Do this step by step
16x^4y^2a^6
Please give brainliest!
Is t = –2 a solution to the inequality below?
–1 ≤
t
yes or no
Write the explicit formula for
-1,-3,-9,-27,-81...
Answer:
[tex]- \frac{1}{3} * 3^n[/tex]
Step-by-step explanation:
This is a geometric sequence/progression
Therefore, we use the formula [tex]a_{n} = \frac{a_{1} * r^n}{r}[/tex]
Where [tex]a_{1}[/tex] [tex]=[/tex] [tex]-1[/tex],
and [tex]r = 3[/tex]
[tex]a_{n} = \frac{-1 * 3^n}{3}[/tex]
[tex]a_{n} = -\frac{1}{3} * 3^n[/tex]