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
what is 3/4/5-2/3/5...
Answer:
30
Step-by-step explanation:
The / is another symbol for multipation. Just multiply 3 with 4 and 5. Then multiple 2 and 3 and 5, then you subtract 3 times 4 times 5's answer by 2 times 3 times 5's answer. You will get 30 as the final answer
Answer:
In exact form the answer is 1/6 Or in decimal form it would be 1.2, in mixed number form it would be 1 and 1/5
I hope this helps you.
_x_=-0.75 The two rational numbers have to have what in common?
Answer:
-3:4 is The two rational numbers have to have in common.
Rodney decides to pay a $200 fee in 3
payments. The first payment is 10% of the
original fee. The second payment is 25% of the
original fee. Which expressions represent the
amount of money for the third payment?
Answer:
65% of the orginal fee or $130.
Step-by-step explanation:
You didn't put the answer options so I am not sure how you want the question to be answered. There are three ways I would write it:
1: 100% = 10% + 25% + 65%
2: 200 = 20 + 50 + 130
3: 200 = (0.1 x 200) + (0.25 x 200) + (0.65 x 200)
All of them basically mean the same thing it is just a matter of how you need it written.
Based on the amount to be paid and the percentage paid in each installment, the expression for the third payment is 65% x 200.
Rodney has to pay $200 in three installments.
The third installment will be:
= Percentage in total - Percentages paid already
= 100% - 10% - 25%
= 65%
The third installment is therefore:
= Percentage to be paid x Amount
= 65% x 200
Find out more at https://brainly.com/question/13198279.
Sarah would like to build a garden this year. Sarah measured out the outside of her proposed garden and would like to know how many square feet of space she will have to use. Calculate the area of her garden from the picture below.
Please show your work :)
Answer: 11ft
Step-by-step explanation:
Pls help :) i really need to finish it
Answer:
ok so if equilateral triangle has 1 inch and box has 9 inch of height, the lateral area would be 27 square-inch
Step-by-step explanation:
7 * 0.04 = 7 * 4 *
7 times 0.04 equal 7 times 4 times ?
Answer:
Solution
1 Cancel 77 on both sides
x\times 0.04=x\times 4xx×0.04=x×4x
2 Regroup terms
0.04x=x\times 4x0.04x=x×4x
3 Use Product Rule: {x}^{a}{x}^{b}={x}^{a+b}x
a
x
b
=x
a+b
0.04x={x}^{2}\times 40.04x=x
2
×4
4 Regroup terms
0.04x=4{x}^{2}0.04x=4x
2
5 Move all terms to one side
0.04x-4{x}^{2}=00.04x−4x
2
=0
6) Factor out the common term x
x(0.04-4x)=0
7 Solve for x
x=0,0.01
Done!
Step-by-step explanation:
¿Qué es 0.4 como porcentaje?
a) 400%
b) 4%
c) 0.4%
d) 40%
Snowden has a new park designed to contain two circular gardens. Garden A has a diameter of
50 m, and garden B has a diameter of 70 m. If the gardener wants to fertilize the surface area
of both gardens, how much surface will he cover? (Write in terms of 3.14) 5
Answer:
5,809 m^2
Step-by-step explanation:
50/2=25 m
25^2 times 3.14=1,962.5 m^2
70/2=35 m
35^2 times 3.14=3,846.5 m^2
1,962.5+3,846.5=5,809 m^2
Maria's Family brought a truck with a value of t dollars when it was first purchased. The value has since decreased by 24%
Answer:
t - (t x24%)
Step-by-step explanation:
Value of truck at the time of purchase was t dollars
value decreased by 24%
current value = t x 24%
t - (t x 24%).
current value = t -(t x 24%).
GEOMETRY STUFF PLEASE ANDWER DUE IN 20 MINUTES
Answer:
Statement 2: m∠ ELD = (2x)°
Reason 4: Sum of angles on a straight line is equal to 180°
Statement 6: 2x = 56
Step-by-step explanation:
Since the first step talks about we being given m∠ ELG = 124°, the next thing we are given in the question is that; m∠ ELD = (2x)°
In statement 4,it is written that;
m∠ ELD + m∠ ELG = 180°
The reason behind this is that;
Sum of angles on a straight line is equal to 180°.
For reason 6, we are told it is a subtraction property.
Now the preceding statement gave us;
2x + 124 = 180
Which means that for subtraction property here, we will have;
2x = 180 - 124
2x = 56
Pick a blue marble , a green marble , and another blue marble from a bag of 2 blues, 4 reds , 4 greens what is the probability
i hope my answer help you
Step-by-step explanation:
the probability of pick a blue marble =2/10 ( simplest form =1/5)
the probability of pick a green marble =4/10
the probability of pick another blue marble =2/10 ( simplest form =1/5)
What is the area of triangle ABC? a \large 6\sqrt{3} square units b \large 18\sqrt{3} square units c \large 36\sqrt{3} square units d \large 72\sqrt{3} square units
question isn't clear but I believe you are asking for the area of triangle ABC given sides a, b, c
We use the example question:
Find the area (in square units) of the triangle described.
a = 49mm, b = 33mm, c = 18mm
Answer and explanation:
We apply Heron's formula to solve the area of a triangle given the sides of the triangle a, b, c
A= √s(s-a)(s-b)(s-c)
Where A = area of triangle in square units
s= semiperimeter(a+b+c/2) of a triangle
a, b, c= lengths of the sides of the triangle
Therefore area of triangle =√50(50-49)(50-33)(50-18)
= √27200
=164.92mm²
PLWASE HELP ME THIS IS DUE TODAY
Find the area of the shaded region. Use 3.14 for it. 8 cm 8 cm
What are the solutions for X^2-9x=-9
Answer:
x = 1.146 and x =7.854
Step-by-step explanation:
Use the quadratic formula
x = -b ± √b² -4ac
2a
-(-9) ±√81-36
2
9 ± √45
2
Jason bought 3 shirts that each cost the same. He had a coupon for $10 dollars off and he spent $65 altogether. Which equation can be used to find the cost of each shirt?
Answer: $18.33
Step-by-step explanation:
c = cost
c = (65-10) / 3
c = 18.3333333333
c = $18.33
W-1<4 need help please
Answer:
5
Step-by-step explanation:
collect like terms
w<4+1
w<5
Label ABC with the following information.
AB = 35
AC = 62
Find m/c.
Answer:
m<C = 34.4 °
Step-by-step explanation:
From the question given above, the following data were obtained:
Opposite = AB = 35
Hypothenus = AC = 62
Angle C =?
The value of m<C can be obtained by using sine ratio as illustrated below:
Sine C = Opposite /Hypothenus
Sine C = 35 / 62
Sine C = 0.5645
Take the inverse of sine
C = Sine¯¹ 0.5645
C = 34.4 °
Thus,
m<C = 34.4 °
in 1990 Jamaica's population of 2,466,000 was expected to grow exponentially by 1.1% each year. what is the range of the exponential function that decribes this growth
Answer:
Initial population is 2,466,000 ( p0 )
Growth is 1.1% each year ( r=1.1
p(t)=p0(1+r)t
After 30 years, the population of Jamaica should be 3.42 million by that calculation, but it is only 2.95 million, so apparently that growth rate was a little high, or wasn’t sustained.
Give a decimal approximation of your answer to the second question using 3.14 to approximate pie. Answer for the second question: 112n cm^3. Answer choices: A. 154.68cm^3, B. 252.68cm^3, C. 351.68cm^3, D. 421.68cm^3
Answer:
C.
Step-by-step explanation:
It's 112 * 3.14
= 351.68 cm^3.
can someone help me out please. its due soon and i dont have alot of time
Answer:
heyy there sorry i wish i could help i think its the first one!!!
Step-by-step explanation:
What is the number of degrees the minute hand of a clock moves between 10:21 and 10:34 pm on the same day?
.
Step-by-step explanation:
The correct answer is 78
Help please! I don’t have much time left to submit it
Answer:
5) x=39
Step-by-step explanation:
if you see the triangle it has two equal sides which mean is an Isosceles Triangle so if a triangle =180
we can say that x+x+102=108 if we solve that we got x=39
Pls Answer Fast I will give u 5 Stars
Answer:
X is 90 degrees
Step-by-step explanation:
I dont know the second part
1,200 divided by 5 times 10
Answer:
24
Step-by-step explanation:
Multiply 5 * 10
5 * 10 = 50
1,200/50 = 24
The result of 1,200 divided by 5 times 10 is 2,400.
To solve the expression, follow the order of operations (PEMDAS/BODMAS):
1,200 ÷ 5 × 10
Step 1: Perform division first:
1,200 ÷ 5 = 240
Step 2: Perform multiplication:
240 × 10 = 2,400
So, the result of 1,200 divided by 5 times 10 is 2,400.
To know more about divided, refer here:
https://brainly.com/question/15381501
#SPJ6
PLEASE HELP ME WITH THIS MATH PROBLEM WILL GIVE POINTS The population of Old town is 50,000 and decreasing by 30 people per year. The population of New Town x years from now is given bye the function P(x) = 30000(1.1)^x, x greater than or equal to 0. which statement is true?
an explanation would be helpful too!!!
Answer:
C
Step-by-step explanation:
I took the test
A shop has an offer on jumpers as shown below.
Buy 4 jumpers and get 1 free!
Kara gets 6 jumpers.
After applying the offer, each one ends up costing £8.50 per jumper.
What is the regular cost of one jumper when not in this offer?
Answer:
Step-by-step explanation:
1/10 + 2.5/10 = 3.5/10 of an hour to make one bracelet. Then change to 20ths so the numerator is a whole number.
Divide your time available by the time it takes to make one.
21
4 = 420= 15 bracelets
7 28
20
Answer:
10.20 regular cost
Step-by-step explanation:
8.50 x 6 = 51 total
51/5 = 10.20
Consider the following pair of equations:
y = −2x + 8
y = x − 1
Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.
Answer:
y+2x=8.....(1)
y-x=-1.......(2)
in equation (2) make x the subject of the formula x=y+1
substitute y+1 for x in equation (1)
y+2(y+1)=8
y+2y+2=8
3y=8-2
y=2
substitute 2 for y in equation 2
y-x=-1
2-x=-1
x=2+1
x=3
y=2 x=3
ANSWER ASAP/GIVING HIGH RATING DUE SOON,PLS JUST ANSWER I HAVE AKOT OF WORK DUE IN 10 MINS
How does rewriting the mixed numbers as whole numbers and fractions make it easier to multiply?
Answer:
A
Step-by-step explanation:
Meghans family is going on a road trip that is 621 miles. They plan to split the trip up equally into 3 days. April's family is also going on a road trip. They will drive 726 miles and split the trip up equally between 3 days. How many more miles per day will Aprils family drive than Meghan's
Answer:
35 miles more per day than Meghan's family
Step-by-step explanation:
In order to solve this problem, we need to divide the total number of miles that each family is going to drive by the 3 days that they will spend doing so. Once we do this we simply subtract the results from one another which will tell us the difference in miles per day that each family will drive.
Meghan: 621 / 3 = 207 miles per day
April: 726 / 3 = 242 miles per day
242 - 207 = 35 miles per day
Finally, we can see that April's family will drive 35 miles more per day than Meghan's family