Answer:
Step-by-step explanation:
a) (a + b)² = (a + b) * (a +b)
(a + b)³ = (a + b) * (a +b) * (a +b)
a²- b² = (a +b) (a - b)
Here (a + b) is common in all the three expressions
HCF = (a + b)
b) (x - 1) = (x - 1)
x² - 1 = (x - 1) * (x + 1)
(x³ - 1) = (x - 1) (x² + x + 1)
HCF = (x -1)
Emma is making posters by hand to advertise her school play, but her posters are not the same
length as a standard sheet of paper (the width is the same, though). She has 3 1/2 sheets of paper
left over, which she says is enough to make 2 1/3 posters. How many sheets of paper (and parts of
a sheet) does each poster use?
Answer:
1 1/2 sheets
Step-by-step explanation:
7/3 x = 7/2
x=3/2
given: y=8-3x find the slope and y intercept
Answer:
Step-by-step explanation:
y = mx + b
"m" is slope ; "b" is y-intercept.
~~~~~~~
y = - 3x + 8
m = - 3
b = 8
Oak wilt is a fungal disease that infects oak trees. Scientists have discovered that a single tree in a small forest is infected with oak wilt. They determined that they can use this exponential model to predict the number of trees in the forest that will be infected after t years.
f(t) = e^0.4t
The scientists believe the forest will be seriously damaged when 21 or more of the forest’s 200 oak trees are infected by oat wilt. According to their model, how many years will it take for 21 of the trees to become infected?
Type the correct answer in the box. Use numerals instead of words. Round your answer to the nearest tenth.
To solve this question, we need to solve an exponential equation, which we do applying the natural logarithm to both sides of the equation, getting that it will take 7.6 years for for 21 of the trees to become infected.
Model:
The exponential model for the number of infected trees after t years is given by:
[tex]f(t) = e^{0.4t}[/tex]
How many years will it take for 21 of the trees to become infected?
This is t for which:
[tex]f(t) = 21[/tex]
Thus
[tex]e^{0.4t} = 21[/tex]
Applying the natural logarithm to both sides:
[tex]\ln{e^{0.4t}} = \ln{21}[/tex]
[tex]0.4t = \ln{21}[/tex]
[tex]t = \frac{\ln{21}}{0.4}[/tex]
[tex]t = 7.6[/tex]
It will take 7.6 years for for 21 of the trees to become infected.
For another example of a problem in which an exponential equation is solved, you can check brainly.com/question/24290183.
At the mall you spent a total of $170.86. You bought 2 pairs pf jeans for $39.95 each, a jacket for
$45.99, and shirts for $14.99 each. How many shirts did you buy?
Answer:
3
Step-by-step explanation:
Total Money Spent = $170.86
Cost of each jeans = $39.95x2 = 79.9
Cost of each Jacket = $45.99
Cost of each shirt = $14.99
=79.9 + 45.99
=125.89
=170.86 - 125.89
=44.97
=44.97 / 14.99
=3
Answer From Gauth Math
[(63 ÷ 18)2 − 8] * 5 pls help meee
Answer:
-5
Step-by-step explanation:
use PEMDAS. In this problem, solve 63 divided by 18 first, the prcoeed from there.
[(63/18)2-8]*5
[(3.5)2-8]*5
3.5*2 is 7
[7-8]*5
[-1]*5 = -5
Prove that angle ADC is congruent to angle CBA
with solution!
Step-by-step explanation:
< i'll use this too represent angle
this is only presuming that this is a parallelogram and i also don't know what those numbers mean
< ACB = < CAD (alt <s of DA II CB) A
< ACD = < CAB (alt <s of DC II AB) A
AB is common S
therefore, ∆ADC is congruent to ∆CBA
if ∆ADC is congruent to ∆CBA
then < ADC = < CBA
What is the product of
-3/5 and -1 4/8
A) 90
B) -.9
C)0.9
D)-9
what is bigger 35% or 2/5
Answer:
35% = .35
2/5 = 4/10 = .4
.4 >.35
Step-by-step explanation:
Please help me: 1/2(6h-4) = -5h+1
Answer:
h = 3/8
Step-by-step explanation:
1/2(6h-4) = -5h+1
Distribute
3h -2 = -5h+1
Add 5h to each side
3h-2+5h = -5h+1+5h
8h-2 = 1
Add 2 to each side
8h-2 +2 = 1+2
8h = 3
Divide by 8
8h/8 = 3/8
h = 3/8
At the scene of an accident on a country road, police find skid marks stretching for 50 m.
Tests on the road surface show that a skidding car decelerates at 6.5 ms-2. Was the car which
skidded exceeding the speed limit of 25 ms-1 (90 kmh-1) on this road?
A. Yes B. No C. The information given is not sufficient.
Answer:
h and the rest are the best for me 7-Eleven you have to go for your
Step-by-step explanation:
happy new years and hope you have not forgotten you and have been busy happy weekend to your the as is have weekend lot here well the there is you idom not you big very for hard while and there can't a help night get be to good in the world of the world and the world is a doctor that is a good friend and is not a good person .
Given the proportion (a/b) = (c/d), solve for c.
Answer:
c = da/b
Step-by-step explanation:
a/b = c/d
a/b x d = c
c = da/b
find the indicated functional value for the floor function: f(-3/2)
a. -2
b. 0
c. -1
d. 1
Answer:
find the indicated functional value for the floor function: f(-3/2)
B. 0
Step-by-step explanation:
hope it helped.
° ° °
The indicated functional value for the floor function is option (C) -1 is the correct answer.
What is floor function?The floor function is the function that takes as input a real number x, and gives as output the greatest integer less than or equal to x, denoted floor(x) or f(x). It gives the largest nearest integer of the specified value.
For the givens situation,
The floor function is f(-3/2).
The indicated functional value for the floor function is
⇒ [tex]f(-3/2)= f(-1.5)[/tex]
Here x = -1.5, the indicated functional value should be a greatest integer less than or equal to x.
Thus the indicated functional value of [tex]f(-1.5)[/tex] is [tex]-1[/tex].
Hence we can conclude that the indicated functional value for the floor function is option (C) -1 is the correct answer.
Learn more about floor function here
https://brainly.com/question/10677594
#SPJ2
A traffic signal board, indicating ‘SCHOOL AHEAD’, is an equilateral triangle with side a. Find the area of the signal board, using Heron’s formula.If its perimeter is 180 cm, what will be the area of the signal board?
Answer:
[tex]900\sqrt{3}\:\mathrm{cm^2}\text{ or }\approx 1,558.85\:\mathrm{cm^2}[/tex]
Step-by-step explanation:
Heron's formula can be used to find the area of any triangle and is given by:
[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex], where [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] are three sides of the triangle and [tex]s[/tex] is the semi-perimeter ([tex]s=\frac{a+b+c}{2}[/tex]).
By definition, all three sides and angles of an equilateral triangle are equal. Therefore, if the total perimeter is 180 cm, each side must have a length of [tex]180\div 3=60\text{ cm}[/tex].
The semi-perimeter is therefore:
[tex]s=\frac{60+60+60}{2}=90\text{ cm}[/tex]
Substitute values into Heron's formula to get:
[tex]A=\sqrt{90(90-60)(90-60)(90-60)},\\A=\sqrt{90\cdot 30\cdot30\cdot 30},\\A=\sqrt{2,430,000},\\A=\boxed{900\sqrt{3} \:\mathrm{cm^2}}\approx \boxed{1,558.85\:\mathrm{cm^2}}[/tex]
Help plz!!!!!!!!!!!!
Answer:
Option A, 90
Step-by-step explanation:
105×2-120
= 210-120
= 90
What is the value of 1/4 {38-14} + 3^3 divided by 9
Answer:
9
Step-by-step explanation:
See the picture for steps :)
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{1}{4} (38 -14) + \dfrac{3^3}{9}}[/tex]
[tex]\mathsf{38-14=\bf 24}[/tex]
[tex]\mathsf{= \ \dfrac{1}{4} (24)+\dfrac{3^3}{9}}[/tex]
[tex]\mathsf{\dfrac{1}{4}(24)= \bf 6}[/tex]
[tex]\mathsf{= \ 6+\dfrac{3^3}{9}}[/tex]
[tex]\mathsf{3^3}\\\mathsf{= 3\times3\times3}\\\mathsf{= 9\times3}\\\mathsf{= \bf 27}[/tex]
[tex]\mathsf{= \ 6+\dfrac{27}{9}}[/tex]
[tex]\mathsf{\dfrac{27}{9}}\\\mathsf{= 27\div9}\\\mathsf{= \bf 3}[/tex]
[tex]\mathsf{= \ 6 + 3}[/tex]
[tex]\mathsf{= \bf 9}[/tex]
[tex]\boxed{\boxed{\huge\text{Therefore, your ANSWER is: \textsf 9}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Please do this ASAP, it’s due in 30 minutes!
Thank you!
No links<3
Answer:
I think it is -24t+20 if you want to simplify
Step-by-step explanation:
Answer:
-24t + 20
Step-by-step explanation:
First, remove the parentheses
Then, multiply 6 by 5
Then expand 3(2t+4) - 30t + 8
Finally simplify 6t + 12 - 30t + 8
-24t + 20
Hope this helps!
Tìm nghiệm của đa thức sau:2x mũ 2-5x-3
2) Tìm các giá trị của x để biểu thức M = (x + 5).(x + 9)
a) có giá trị dương. b) có giá trị âm
Answer:
please translated to english
A loan on an investment property closed on July 1st for $765,000 at 5.5% interest amortized over 25 years at $4,697.77 per month. Using a 360-day year, what would the principal amount be after the monthly payment was made August 1st
Answer:
$763,808.48
Step-by-step explanation:
765,000 - (4,697.77 - (765,000 * .055/12)) =
$763,808.48
Helps me plz
a=8, b=15, c=
Answer:
c
Step-by-step explanation:
I think its c
find the unknown anagels in the following figure
Answer:
ABC=BCD
so, X=60'
Z= 70'
Y=50'
Số hạng đầu và số hạng thứ 2 của một cấp số nhân lần lượt là x+2 và x^2 -4 số hạng thứ 3 của cấp số nhân này là
Answer:
x³-2x²-4x+8
Step-by-step explanation:
a1=x+2
a2=x²-4⇒q=a2/a1=x-2
⇒a3=q.a2=(x-2).(x²-4)=x³-2x²-4x+8
There are 3 red marbles and 2 black marbles in a bag. What is the probability of drawing a black marble from the bag two times in a row if the marbles are replaced after each draw?
Answer:
4/25
Step-by-step explanation:
3 red marbles and 2 black marbles in a bag = 5 marbles
P(black) = black/total = 2/5
Replace marble
3 red marbles and 2 black marbles in a bag = 5 marbles
P(black) = black/total = 2/5
P(black, replace, black) = 2/5 * 2/5 = 4/25
kx - c = 9 solve for x
Answer:
x = [tex]\frac{9+c}{k}[/tex]
Step-by-step explanation:
Given
kx - c = 9 ( add c to both sides )
kx = 9 + c ( isolate x by dividing both sides by k )
x = [tex]\frac{9+c}{k}[/tex]
Write a linear equation that goes through the points (-8,-1) and (-6,5) with a
y-intercept of 23.
2x-3=5
(x+2)(3x-15)=0
Answer:
the first one gat to be x=4
Answer: 17
Step-by-step explanation: :)
factorise 1000a^2+27b^2
The number of mice living in a field triples each year. What type of function
represents this pattern?
Answer:
C - exponential growth
Step-by-step explanation:
Answer:
The answer should be C
Step-by-step explanation:
List the coordinates for the plotted points A, B, C, and D.
Answer:
A= (3,1) ; B=(-2,-1) ; C=(-4,1) ; D=(-4,0)
Step-by-step explanation:
Plotted points are expressed by (x,y) , where the x is equal to the value that you read on the x plot and y is equal to the value that you read on the y plot.
x²-2x=8
x² - 2x - 8 = 0
x² - 2x - 4x = 0
(x - 2) (x - 4)=0
x - 2 =0 therefore x = 2
or
x - 4 =0 therefore x = 4
Answer:
x=4 x = -2
Step-by-step explanation:
x²-2x=8
Subtract 8 from each side
x^2 -2x-8 = 8-8
x^2 -2x -8=0
What two numbers multiply to -8 and add to -2
-4*2 = -8
-4+2 = -2
(x-4) (x+2) =0
Using the zero product property
x-4 =0 x+2 =0
x=4 x = -2