Answer:
1200 pound
Step-by-step explanation:
year 1: 2 rabbits
year 2: 2 rabbits x 3 = 6 rabbits
year 3: 6 rabbits x 3 = 12 rabbits
12 rabbits x 100 pounds = 1200 pounds
Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (Assume that n begins with 1.) {-4, 8/3, -16/9, 32/27, -64/81, . . . } an =
Step-by-step explanation:
a1 = -4 = -4/1, a2 = 8/3
r = a2/a1 = (8/3) / (-4/1) = -2/3
the formula :
an = a1. r^(n-1)
so,
an = (-4). (-2/3)^(n-1)
Step-by-step explanation:
[tex]-4, \dfrac{8}{3}, -\dfrac{16}{9}, \dfrac{32}{27}, -\dfrac{64}{81},..., (-1)^n\dfrac{2^{n + 1}}{3^{n - 1}}, ...[/tex]
What is the equation of a line parallel to y = 4/5x + 2 that passes through (1, 2)?
Calculate the area of the triangle.
Note: Think about which side to use as the base.
9514 1404 393
Answer:
27 square units
Step-by-step explanation:
The height is measured perpendicular to the base, so it is convenient to use a base such that the height is easily found. Here, the vertical line is a suitable base, as the height is the horizontal distance from that to the opposite vertex.
A = 1/2bh = 1/2(9)(6) = 27 . . . . square units = triangle area
A multiple choice test contains 25 questions with 5 answer choices. What is the probability of correctly answering 8 questions if you guess randomly on each question?
Answer: 0.0623
Step-by-step explanation:
The probability of correctly answering 8 questions if you guess randomly on each question is 0.062348.
It is given that multiple choice test contains 25 questions with 5 answer choices.
To find probability of correctly answering.
What is probability?The extent to which an event is likely to occur, measured by the ratio of the favorable cases to the whole number of cases possible.
Given that:
The probability of each correct answer is [tex]p_{s}[/tex][tex]=\frac{1}{5}[/tex]
The probability of 8 successful answers in 25 independent trials for a binomial probability distribution is:
p(k|n)=[tex]\frac{n!}{(n-k)!*n!}[/tex][tex]p_{s}^{k} (1-p_{s})^{n-k} \\[/tex]
p(8|25)=[tex]\frac{25!}{(25-8)!*8!}[/tex][tex]{\frac{1}{5} }^{k} (1-1/5)^{25-8} \\[/tex]
p(8|25)=0.062348
So, the probability of correctly answering 8 questions if you guess randomly on each question is 0.062348.
Learn more about probability here:
https://brainly.com/question/24385262
#SPJ2
Whatis (-5 + 3i) -(4+7i)?
Answer:
-5-4i is your answer.
I hope it will help youthe density of oxygen is 0.0001429 grams per cubic centimeter.how is this number written in scientific notation?
How do they get Question 3
Answer:
400÷10=40
Step-by-step explanation:
the question asks for you to divide each number in the pattern by 10.
the first number is 400
400÷10=40
then you would do 40÷10=4
then 4÷10=0.4
then 0.4÷10=0.04
so the pattern would be
400 , 40 , 4 , 0.4 , 0.04
hope this helped!
brainiest to whoever rightt.
Answer:
Perimeter of a square
Step-by-step explanation:
The formula for finding out the perimeter of a square is P = 4s
what is the 30th square number
plz tell the answer
Answer:
900
.........................
Answer:
900
Step-by-step explanation:
30 square is like 30×30=900
In a group 40% like football ,70% like cricket and 30% like both games
Answer:
40%
Step-by-step explanation:
40+30+70=140
180-140= 40
if SP is equal to rupees 400 and loss percent is 20% find CP
100-20=80%=400
[tex]\\ \rm\longmapsto 80\%\:of\:CP=400[/tex]
[tex]\\ \rm\longmapsto CP=400\times \dfrac{100}{80}[/tex]
[tex]\\ \rm\longmapsto CP=5(100)[/tex]
[tex]\\ \rm\longmapsto CP=500[/tex]
Step-by-step explanation:
Given,
S.p.=Rs400
Loss percent(L%) =20%
C.p.=?
We know,
S.p. =(100-L) % of c.p.
or,400=(100-20)% *c.p.
or,400=80% *c.p.
or, 400=80/100*c.p.
or,c.p.=Rs.500
Here, c.p.=Rs.500
Simplify. √ −18
A -3i√2
B 3i√2
C 9i√2
D -3√2
Simplify an expression for the perimeter of the rectangle.
W = 24.6x - 10.4
L = 7x + 3.1
The expression for the perimeter of the rectangle is 63.2x - 14.6.
Given that,
Width = W = 24.6x - 10.4Length = L = 7x + 3.1We Know that
Perimeter of the rectangle is
[tex]= 2(l+w)\\\\= 2 (7x + 3.1 + 24.6x - 10.4)\\\\= 2(31.6x - 7.3)[/tex]
= 63.2x - 14.6
Here the above formula should be applied for measuring the perimeter of the rectangle.
Therefore we can conclude that The expression for the perimeter of the rectangle is 63.2x - 14.6.
Learn more about the rectangle here: brainly.com/question/16167300
Answer:
24.3
Step-by-step explanation:
First you solve the sides:
24.6-10.4 =14.2
7+3.1=10.1
After that ,you will add because perimeter is adding up the side lengths of various shapes.
14.2+10.1=24.3
Help please ASAP!!!!!
Answer:
answer is c because you gota tranlate it left
Step-by-step explanation:
Help!
Find the value of x for which ABCD must be a parallelogram.
HELP PLEASE
Find the length of AB
Step-by-step explanation:
hopefully it makes sense and is visible
:)
Two major league players got a total of 226 hits. Washington had 18 more hits than Sanchez. Find the number of hits for each player.
Answer:
Washington had 115 hits and Sanchez had 111 hits.
Step-by-step explanation:
2s + 4 = 226
2s = 222
s = 111
s + 4 = 115
Find NL. Not sure to to solve this.
Answer:
NL= 2 × HI
x+24 =2 × (X+16)
x+24=2x + 32
2x-x= 24-32
x= – 8
NL=x+24 = –8 +24= 16
So ; NL= 16
I hope I helped you^_^
Determine whether the following statement is true or false.
A proper use of units can help us to determine the meaning of the slope of a linear function.
Here we want to see if the statement:
"A proper use of units can help us to determine the meaning of the slope of a linear function" is true or false.
We will see that it is true.
First, a general linear equation can be written as:
y = a*x + b
Where a is the slope, x is the independent variable, y is the dependent variable, and b is the y-intercept.
The proper use of units is:
y and b must have the same units.
x can have any type of units
The slope must have the quotient between the units of y and the units of x.
Where the proper use of units means that we have the same units on both sides of the expression.
Now, assume that we know the units of y and x.
For example:
y is miles (then b is also in miles)
x is in hours
Then, with the proper use of units, we can see that the units of the slope are:
miles/hour, or miles per hour.
With this (only knowing the units of x and y) we can see that the slope will be a speed.
So yes, the proper use of units is really important, as this has a lot of information (particularly, the meaning of the slope in a linear equation)
Thus, the statement is true.
If you want to learn more, you can read:
https://brainly.com/question/20286983
If angle DEG is 8x + 14 and angle GEF is 8x - 7, the measure of angle DEG is ___ degrees.
Answer:
100.5
Step-by-step explanation:
As it's a straight line, the angles should add up to 180. So 8x+14+8x-7=180, 16x+7=180, x=10.8125, DEG will be 8x+14=100.5
lim x ->0 ln(1+5x)/2x
answer
−>0(1+5)/2
hope it helps
Lines m and n are parallel lines. If line m has a slope of -1, find the slope of linen. Type a numerical answer in the space
provided. If necessary, use the key as a fraction bar. Do not type spaces in your answer.
What is the value of X minus Y if x equals 9 and Y equals -20
Use a number line or place value to round each number to the place of the underlined digit
you didn't put a picture in,
Whats the answer to it i can't figure it out
Answer:
-0.1
...............................
A trapezoid has one base measuring 12', and the other measuring 13'8". What is the area in square feet if the height of the trapezoid is 9'4"?
(Remember for trapezoids A= (b1 + b2)/2 x h
Answer:
Step-by-step explanation:
buzhou一=12212+13。8.12+13.8=25.8 25.8x9.4=?242.52242.522
The area of the trapezoid is given by A = 121.26 feet²
What is a trapezoid?The Trapezoid is a 4 sided polygon. Two sides of the shape are parallel to each other and they are termed as the bases of the trapezoid. The non-parallel sides are known as the legs or lateral sides of a trapezoid.
There are three types of trapezoids , and those are given below:
a) Isosceles Trapezoid
b) Scalene Trapezoid
c) Right Trapezoid
The area of the Trapezoid is given by
Area of Trapezoid = ( ( a + b ) h ) / 2
where , a = shorter base of trapezium
b = longer base of trapezium
h = height of trapezium
Given data ,
Let the area of the trapezoid be represented as A
Now , the equation will be
Let the height of the trapezium be H = 9.4 feet
The shorter base of the trapezium a = 12 feet
The longer base of the trapezium b = 13.8 feet
Now , Area of Trapezoid = ( ( a + b ) h ) / 2
On simplifying the equation , we get
Area of Trapezium A = ( ( 13.8 + 12 ) 9.4 ) / 2
Area of Trapezium A = 121.26 feet²
Hence , the area of trapezium is 121.26 feet²
To learn more about area of trapezium click :
https://brainly.com/question/12221769
#SPJ2
Two cars start at the same point. One travels north at 65 km/h and the other travels east at 50 km/h. How far are they apart after 30 minutes?
Answer:
1they are 15 kilometers apart
6 bannas cost $0.75. How much do 20 bannas cost
Answer:
15
Step-by-step explanation:
Answer:
The answer is 15
Step-by-step explanation:
Is 0.6 a rational number
Answer:
The decimal 0.6 is a rational number. It is the decimal form of the fraction 6/10.
Answer:
Yes. 0.6 is a rational number.
Help!
Which expression is equivalent?
On edge
Answer: Choice B
[tex]x^{1/8}y^{8}[/tex]
======================================================
Explanation:
The two rules we use are
[tex](a*b)^c = a^c*b^c[/tex]
[tex](a^b)^c = a^{b*c}[/tex]
When applying the first rule to the expression your teacher gave you, we can say that:
[tex]\left(x^{1/4}y^{16}\right)^{1/2} = \left(x^{1/4}\right)^{1/2}*\left(y^{16}\right)^{1/2}[/tex]
Then applying the second rule lets us say
[tex]\left(x^{1/4}\right)^{1/2}*\left(y^{16}\right)^{1/2} = x^{1/4*1/2}*y^{16*1/2} = x^{1/8}y^{8}[/tex]
Therefore,
[tex]\left(x^{1/4}y^{16}\right)^{1/2} = x^{1/8}y^{8}[/tex]
-------------
In short, we just multiplied each exponent inside by the outer exponent 1/2.
So that explains why the exponents go from {1/4,16} to {1/8,8} for x and y in that exact order.
