Answer:
A. On the first day, 3 leaves fall.
B. D. The number of leaves that fall on a given day is 2 times the number of leaves that fell on the previous day.
Step-by-step explanation:
Given
[tex]f(n) = 3(2)^n[/tex]
Solving (a) The meaning of 3.
3 represents the initial number of leaves (i.e. the first day) and this proved as follows.
On the first day, n = 0.
Substitute 0 for n in [tex]f(n) = 3(2)^n[/tex]
[tex]f(0) = 3(2)^0[/tex]
[tex]f(0) = 3*1[/tex]
[tex]f(0) = 3[/tex]
Solving (b) The meaning of 2.
2 represents the rate which leaves fall down.
In (a)
[tex]f(0) = 3[/tex]
Take n = 1
Substitute 1 for n in [tex]f(n) = 3(2)^n[/tex]
[tex]f(1) = 3(2)^1[/tex]
[tex]f(1) = 3*2[/tex]
[tex]f(1) = 6[/tex]
When f(1) is divided by f(0), the result 2. So, the number of leaves doubles everyday
y=x-2
make x the subject
Answer:
x + 2 = y
Step-by-step explanation:
y = x - 2
x = y - 2
x + 2 = y
Answer:
x=y-2Step-by-step explanation:
x equals y -2 that is the answer to this equation
Work out the size of an exterior and an interior angle of a regular 25-sided polygon.
Answer:
14.4 degrees, 165.6 degrees
Step-by-step explanation:
Exterior angle of a regular polygon = 360 / number of faces, 360/25=14.4 degrees
Interior angle = 180 - exterior = 180 - 14.4 = 165.6 degrees
What is the equation of the line for the graph shown below?
Y=-7x+3
Y=-1/2x+3
Y=x+3
Jackrabbits are capable of reaching speeds up to 40 miles per hour. How fast is this in feet per second? (Round to the nearest whole number.)
5,280 feet = 1 mile
27 feet per second
59 feet per second
132 feet per second
288 feet per second
Answer:
59 feet per second
Step-by-step explanation:
(40m)(5280ft)=211,200 ft/hr(211,200 ft/hr )=(211,200ft/3600s)58.7 ft/sAnswer:
B
Step-by-step explanation:
I need answer! Thank you!
Answer:
2/3
Step-by-step explanation:
1, 2,4, 6
so that’s 4 numbers out of 6 so 4/6, 2/3
Answer:
2/3
Step-by-step explanation:
TOTAL number of outcomes=6
outcomes possible=4. (1,2,4,6)
P= 4/6=2/3
how many sides are there?
Answer:
13
Step-by-step explanation:
1980 = ( n - 2 ) * 180
n - 2 = 11
n = 13
A convex polygon has 13 sides when the interior angle sum is [tex]1980^{0}[/tex].
What is convex polygon?A polygon is called a convex polygon when no line segments between the points, goes inside. The boundaries of the convex polygon do not go inside and all the vertices are pointed outside away from the center. The interior angles of a convex polygon are less than 180°.
Given a convex polygon
For a convex polygon with n sides, the interior angle sum is [tex]180^{0}[/tex] × [tex](n-2)[/tex]
Let [tex]180^{0}[/tex] × [tex](n-2)[/tex] = [tex]1980^{0}[/tex]
⇒ n - 2 = 11
⇒ n = 11 + 2
⇒ n = 13
Thus, a convex polygon has 13 sides when the interior angle sum is [tex]1980^{0}[/tex].
Find out more information about convex polygon here
https://brainly.com/question/15051058
#SPJ3
evaluate the expression
5x2^2
Answer:
2 ez cuh the answer is
20 x
Step-by-step explanation:
please give me brainlist I just need 3 more
Answer:
20
Step-by-step explanation:
Ok so,
2^2 = 4
*i'm just rewriting the expression*
so now it would be 5x4 which would be 20.
hope this helps! have a good day! pls mark brainliest!!!
Which value of y will make the equation true? -3 y= 18
Answer:
-6
Step-by-step explanation:
-3x-6=18
Answer:
Y = -6
Step-by-step explanation:
Solve for y
-3y = 18
divide both sides by -3
y = -6
what's the missing number?????
Need help with number 13
Answer:
What's the question?
Step-by-step explanation:
Step-by-step explanation:
area of parallelogram=base×height=32×25=800cm²
3x-5y=-9 -4x+6y=10
Con método de suma y resta
Porfa
10=10=10 x,y ( 155/2 97/2
osea que x = 155/2 yY= 97/2
i need help asap
Which choice shows the image of triangle 2 after a reflection over the
y-axis followed by a rotation of 180° around the origin?
pato apni sa pato bata is sa dak na sa kuch bi nahi mila ga
Answer:
Well I'm doing Image Math too and the answer is the Middle one
Step-by-step explanation:
You have to reflect it then after just look at the blocks 180 is like two blocks away if you understand what I am saying
I need help with this question.
I’ll mark you as a brainliest.
An architect is designing a house for the Frazier family. The Fraziers have asked that the cost of
the house be about $175,000 and are willing to deviate from this price no more than $20,000.
19 A) Write an open sentence involving an absolute value.
Answer:
║x - 175,000║≤ 20,000
Step-by-step explanation:
Let x be the amount the Fraziers are willing to pay. Since the house costs $175,000 and they are willing to deviate from this price no more than $20,000, so x = $175,000 ± $20,000.
So, x - 175,000 = ± 20000
║x - 175,000║= 20,000
But we require
║x - 175,000║≤ 20,000
which is our required open sentence.
Does (0,5) make the equation y = 7x true?
Answer:
I beleive
Ordered pairs are in the form (x , y). So, my x-coordinate is 0 and my y-coordinate is 0. ... Since, -7 times 0 is equal to 0, I get 0 = 0. This is a true statement, and so (0, 0) is a solution to the equation If its incorrect I'm sorry
Step-by-step explanation:
Zahid is paid a set wage of 774.72 for a 36 hours week. plus time and a half for overtime. In one particular week, he worked 43 hours. what were his earning that week?
Answer:
1162.08
Step-by-step explanation:
zahid is paid 774.72 for 36 hrs so,
he worked 43 hrs,
so no. of hours ot: 43-36
7 hrs
now we will find the half of 774.72
387.36
now add 774.72+387.36
1162.08
so that was his earning
A rectangular room is 3 times as long as it is wide, and its perimeter is 48 meters. Find the dimension of the room.
The length is : _____ meters and the width is ______ meters.
The length and width are 18 meters and 6 meters respectively.
Given that
The perimeter of the rectangle is 48 meters.The width be x.The length be 3x.We know that
The perimeter of the rectangle be
48 = 2 (length + breadth)
48 = 2(3x + x)
48 = 6x + 2x
48 = 8x
x = 6
So, the width is 6 meters.
And, the length be 18 meters.
Therefore we can conclude that The length and width are 18 meters and 6 meters respectively.
Learn more about the rectangle here: brainly.com/question/16167300
Please help!! Will give brainliest!!!! Photo above
Answer:
c is your awnser
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
In this picture, the angle, 30 degrees, is a part of the whole. we are looking for the value of X.
First we can take off 45 degrees, since the angle is lower than 30 degrees
Now we can take off 15 degrees, since the angle is too small.
And we can also take off 10 degrees since its way too small.
2x mean 2 times X.
The overall measurement is a 90 degree angle, indicated by the box.
90-30= 60
30 * 2 = 60.
The correct answer is 30.
~Hope this helps~
LEVEL 10
William and Ben are neighbors and found out they are born on the same day of the year.
William is 4 times older than Ben. But when you add their ages together and subtract 8 the
answer is 67. How old is Ben?
( you must create equations and solve by substitution to receive credit)
Answer:
(x+y)-8= 67y × 4 = x y= 15 Hence Ben is 15 years old 15×4= 60 years old Hence William is 60 years old Logic check: 60+15-8=67 75-8=67 67=67 I do quizzes and exams if your interested!!Please help!! Pleaseeee
Answer:
pretty sure its the first and 3rd one sorry if im wrong
Step-by-step explanation:
Solve the system of equations by elimination: -6x + 2y = -4 and -5x + 5y = 30
Answer:
x = 4
Step-by-step explanation: hope this helps!!
2. x2 - 11x-26= 0
The number and type of roots
the answer is 12
because it is
A wire is anchored on a 9-meter pole. One part is attached to the top of the pole and the other meters away from the base. Questions: 1. How long is the wire? 2. What will happen if the wire is farther/nearer to the base? Justify your answer. 3. What mathematical concept did you use?
Ihope someone who can answer my questions, thank you
9 meter
Step-by-step explanation:
attached to the top
PLEASEEEE HELP!!!
Which equation should you solve to find x?
Answer: A
Step-by-step explanation:
A️Ex
Answer:
A. sin 34 = x/12
Step-by-step explanation:
Take my advice.
answer number 4,6,7,8
4. 0.15(with a bar on 15)
6. B,D
7. ...haha...refer to the attachment plzz..:P I don't wanna type too much...
12. 1331
13. 2.56
A function in algebra is
Answer:
A function is an equation that has only one answer for y for every x. A function assigns exactly one output to each input of a specified type. It is common to name a function either f(x) or g(x) instead of y. f(2) means that we should find the value of our function when x equals 2.
Step-by-step explanation:
im boared so i answered
3x+y=4
2x-y=6
What is the answer to this equation?
Answer:Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form(2,-2)
Equation Form:x=2 y=-2
Step-by-step explanation:
What is the measure of YZ?
V
O A. 38°
O B. 1289
z
C. 520
O D. 142
Answer: D. 142 degrees
Step-by-step explanation:
What is the difference between a reactant and a product in a chemical equation? (Science question)
Answer:
At the end of the chemical reaction, reactants are usually consumed and are transformed into a new substance. On the other hand, products are end points of chemical reactions, and they are produced at the end of the process. In a chemical equation, reactants are commonly placed on the right side of the arrow.
Step-by-step explanation:
HELP ME PLZZ I NEED HELP!!!
Answer:
the answer is B.
Step-by-step explanation: