Step-by-step explanation:
f(n) = 3(2)^n = 3 * 2^n.
We can see here that 3 is a constant term.
When n = 0, f(0) = 3 * 2^0 = 3.
Hence, on the 1st day 3 leaves fell. (A)
When n = 1, f(1) = 3 * 2^1 = 6.
When n = 2, f(2) = 3 * 2^2 = 12.
Notice that the number of leaves that fell keep doubling.
Therefore the number of leaves that fell on a given day is 2 times the number of leaves that fell on the previous day. (D)
HELP PLEASE
Which equation can you use to find the value of x?
Answer:
3x=78+x-2
Step-by-step explanation:
Answer: 3x = 78 + x - 2
Step-by-step explanation:
Solve:
1/3(2x-6/5)=4/9(x+1/3)
[tex] \frac{1}{3} .( \frac{2x - 6}{5} ) = \frac{4}{9} .( \frac{x + 1}{3} )[/tex]
[tex] \frac{2x - 6}{15} = \frac{4x + 4}{27} [/tex]
[tex]54x - 162 = 60x + 60[/tex]
[tex] - 222 = 6x[/tex]
[tex]x = - 37[/tex]
I guess it's right.We learnt this way in Turkey.
What is the domain of h?h(x)=4/x-5
Answer:
(−∞, 5) ∪ (5, ∞)
Step-by-step explanation:
I really hope it helps!
Good Luck!
I REALLY NEED HELP ON THIS!!! The graph below shows the amount of snowfall recorded in New York during that time. Write an equation to represent the relationship between amount of snow accumulated and time.
Answer:
Y=.5x
Step-by-step explanation:
For every hour you gain half an inch of snow so for every 2 hours you gain one inch of snow. Hope ths helps
A repeating decimal + A fraction
Answer:
3.33333333333+1/3=3.6666666666666666
Answer:
yup you're correct, nice job
FIRST ANSWER GETS BRAINLIEST!!!
Alistair Inc. shipped 32 packs of batteries to a retail store. Regular packs contain four batteries each, and super packs contain six batteries. A total of 166 batteries were shipped. How many regular packs were sent?
Answer:
Number of regular packs sent = 13
Step-by-step explanation:
Let,
x be the number of regular packs shipped
y be the number of super packs shipped
According to given statement;
x+y=32 Eqn 1
4x+6y=166 Eqn 2
Multiplying Eqn 1 by 4
4(x+y=32)
4x+4y=128 Eqn 3
Subtracting Eqn 3 from Eqn 2
(4x+6y)-(4x+4y)=166-128
4x+6y-4x-4y=38
2y=38
Dividing both sides by 2
[tex]\frac{2y}{2}=\frac{38}{2}\\y=19[/tex]
Putting y=19 in Eqn 1
x+19=32
x=32-19
x= 13
Hence,
Number of regular packs sent = 13
Ali is y years old.
Bhavara is twice as old as Ali.
Ceris is 3 years younger than Ali.
The total of their ages is 125
years.
Work out the age of each person.
(4 marks)
Ali years=
Bhavara years=
Ceris years=
Ali = Y
Bha = 2Y
Cer = Y - 3
Then
Y + 2Y + Y-3 = 125
4Y - 3 = 125
4Y = 128
Ali = Y = 32
Bha = 2Y = 64
Cer = Y - 3 = 29
Hope it Helps :)
The ages of each person are,
⇒ Ali years = 32
⇒ Bhavana years = 64
⇒ Ceris years = 29
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Ali is y years old.
Bhavara is twice as old as Ali.
Ceris is 3 years younger than Ali.
And, The total of their ages is 125 years.
Now,
Since, The age of Ali = y
And, Bhavara is twice as old as Ali.
Hence, The age of Bhavara = 2y
And, Ceris is 3 years younger than Ali.
Hence, The age of Ceris = y - 3
Here, The total of their ages is 125 years.
Hence, We get;
⇒ y + 2y + y - 3 = 125
⇒ 4y - 3 = 125
⇒ 4y = 125 + 3
⇒ 4y = 128
⇒ y = 32
Thus, We get;
The age of Ali = 32 years
The age of Bhavara = 2y
= 2 × 32
= 64 years
The age of Ceris = y - 3
= 32 - 3
= 29 years
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
At the arcade, Sami won 2 blue tickets, 1 yellow ticket, and 3 red tickets for 1500 total points. Jamie won 1 blue ticket, 2 yellow tickets, and 2 red tickets for 1225 total points. Yvonne won 2 blue tickets, 3 yellow tickets, and 1 red ticket for 1200 total points. Write a system of equations to represent this situation. Let b = point value of blue tickets; y = point value of yellow tickets; r = point value of red tickets Create a matrix for your system.
Answer:
[tex]\left[\begin{array}{ccc}2&1&3\\1&2&2\\2&3&1\end{array}\right][/tex] [tex]\left[\begin{array}{c}b&y&r\end{array}\right][/tex] [tex]= \left[\begin{array}{c}1500&1225&1200\end{array}\right][/tex]
Step-by-step explanation:
Given
[tex]b = blue[/tex]
[tex]y = yellow[/tex]
[tex]r = red[/tex]
Required
Represent as a matrix
For Sammy:
[tex]2\ blue + 1\ yellow + 3\ red =1500[/tex]
So, we have:
[tex]2b + 1y + 3r = 1500[/tex]
[tex]2b + y + 3r = 1500[/tex]
For Jamie:
[tex]1\ blue + 2\ yellow + 2\ red =1225[/tex]
So, we have:
[tex]1b + 2y + 2r = 1225[/tex]
[tex]b + 2y + 2r = 1225[/tex]
For Yvonne:
[tex]2\ blue + 3\ yellow + 1\ red =1200[/tex]
So, we have:
[tex]2b + 3y + 1r = 1200[/tex]
[tex]2b + 3y + r = 1200[/tex]
The system of equations are:
[tex]2b + y + 3r = 1500[/tex]
[tex]b + 2y + 2r = 1225[/tex]
[tex]2b + 3y + r = 1200[/tex]
To represent as a matrix, we have:
[tex]\left[\begin{array}{ccc}b_1&y_1&r_1\\b_2&y_2&r_2\\b_3&y_3&r_3\end{array}\right][/tex] [tex]\left[\begin{array}{c}b&y&r\end{array}\right][/tex] [tex]= \left[\begin{array}{c}Total_1&Total_2&Total_3\end{array}\right][/tex]
This gives:
[tex]\left[\begin{array}{ccc}2&1&3\\1&2&2\\2&3&1\end{array}\right][/tex] [tex]\left[\begin{array}{c}b&y&r\end{array}\right][/tex] [tex]= \left[\begin{array}{c}1500&1225&1200\end{array}\right][/tex]
4.An online music service charges a $12.00
registration fee plus $1.50 for each song
downloaded. If Mary Beth has a gift card with
$60.00, then how many songs can she
download?
e pay for
Answer:
60 - 12 = 48
48/1.5= 32
32 songs
Write down the first five prime numbers.
The answer is 2, 3, 5, 7, 11.
Answer:
The answer is 2, 3, 5, 7, 11.
Step-by-step explanation:
A rectangle has a length of x + 5 and a
width of 2x-9. Using the formula for the
perimeter of a rectangle, P = 2L + 2W, write
an expression to represent the perimeter of
the rectangle in simplest form.
Answer:
The end equation you get is p = 6x - 8
Step-by-step explanation:
p = 2l + 2w
p = 2(x + 5) + 2(2x - 9)
p = 2x + 10 + 4x - 18
p = 6x - 8
An expression to represent the perimeter of the rectangle in simplest form is 2(3x-4) meters.
Given that, a rectangle has a length of x + 5 and a width of 2x-9.
What is perimeter of a rectangle?The perimeter of a two-dimensional shape is the total length of the outline. To find the perimeter of a rectangle, we add the lengths of all four sides.
The formula for the perimeter of a rectangle is, P = 2L + 2W,
Now, substitute L=x+5 and W=2x-9 in perimeter formula and simplify,
P=2(x+5)+2(2x-9)
=2x+10+4x-18
=6x-8
=2(3x-4)
Therefore, an expression to represent the perimeter of the rectangle in simplest form is 2(3x-4) meters.
To learn more about the perimeter of a rectangle visit:
https://brainly.com/question/15287805.
#SPJ2
i need this quick!!
What are the constants in the equation 3x+2=9
a - 3
b - x
c - 2 and 9, constants have a fixed value
d - none of the above
Answer:
Option C i.e. 2 and 9, constants have a fixed value is a correct option.
Step-by-step explanation:
In algebra, a constant is basically a fixed value.
Sometimes, a constant is a number for a letter such as a, b, or c for a fixed number.
For example: in ''2x+7=3'', 7 and 3 are constants.
Please note that the number with variable x in the term is a coefficient.In our case:
Given the equation
[tex]3x+2=9[/tex]
Therefore, 2 and 9 are constants, having a fixed value.
Thus, option C i.e. 2 and 9, constants have a fixed value is a correct option.
2x + 3 +2x +3 hhhhhhh
My boys got me I’m giving brainliest
Answer:
B
Step-by-step explanation:
A computer normally costs
$650, but it is on sale for
15% off. What is the sale
price of the computer?
Answer:
$552.50
Step-by-step explanation:
650×.15=97.5
650-97.5=552.5
Which of the following will not translate as a mathematical
question three times a number equals fifteen.
two less than a number is equal to twelve.
Six Plus the number is seven.
A number divided by eight, Plus four.
PLEASE HELP ME FAST
Answer:
a number divided by eight, plus four
Please help me its due in 30 mins
Answer:
-11 im pretty sure
Step-by-step explanation:
Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 2 cos 3θ
3x + 2 ( 4x + 7) "terms"
help pleas
A linear function has an x-intercept of 12 and a slope of StartFraction 3 Over 8 EndFraction. How does this function compare to the linear function that is represented by the table?
Answer:
hiii yall hi have a good day
Step-by-step explanation:
god bless you all and the answer is ........2 (sry I'm not sure)
Answer:
.
Step-by-step explanation:
p
I need help please please
Answer:
60%
Step-by-step explanation:
Find the missing lengths.
I need help someone
Answer:
Option A
Step-by-step explanation:
From the triangle given in the picture,
By applying sine rule,
sin(60)° = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{\sqrt{3} }{2}=\frac{a}{7}[/tex]
a = [tex]\frac{7\sqrt{3} }{2}[/tex]
Similarly, by cosine rule,
cos(60)° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{1}{2}= \frac{b}{7}[/tex]
b = [tex]\frac{7}{2}[/tex]
Therefore, Option A will be the correct option.
Find the radius of a cylinder with a volume of 200 in and a height 5 in.
Answer:
r≈3.57in
Step-by-step explanation:
At Harrison Middle School 0.96 of the student population was in attendance last Friday
Write 0.96 as a percent and as a fraction (in simplest form).
Please explain:))
!!!!!!!!!!!!!!!! x= and y=
Answer:
Y=16
X=32
Step-by-step explanation:
ï just know you need to do more meth
Tanisha baked an apple pie. She ate 1/6 of the pie. Her sister ate 1/4 of it. Tanisha gave her mother the rest of the pie. What fraction of the pie did Tanish give her mother?
You plan to meet a friend at a local bowling alley on Sunday afternoon. Prior to bowling, you must pay an initial fee of $6.00 to rent shoes and will then pay $4.00 per game you play. Which equation (written in slope-intercept form) best models this scenario? Let y represent your total cost and x represent the number of games you play. Group of answer choices y = 4x + 6 y = 2x + 6 y = 6x + 4 y = 4x
Answer:
[tex]y = 4x + 6[/tex]
Step-by-step explanation:
Given
[tex]Initial\ Fee = \$6.00[/tex]
[tex]Rate = \$4.00[/tex]
Required
Derive the linear equation
Let the number of games be x.
Let the total cost be y
So, if the rate of 1 game is $4
Then x games costs 4x
The total cost (y) is then calculated as:
y = Initial Fee + Cost of x games
Substitute values for initial fee and cost of x games
[tex]y = 6 + 4x[/tex]
Rewrite as:
[tex]y = 4x + 6[/tex]
Solve: -10x + 10 + 12x +21= -6
А
25
X=
2
25
B
X=-
2
37
X=
2
D
X=
37
2
A ski jacket has a price of $182.50. The sales tax rate is 7.2%. What is the sales tax for the jacket in dollars and cents?
Answer:
Sale Tax: $13.14
After-Tax Price: $195.64
Step-by-step explanation:
There were 96 students and 34 adults at the concert. If 65% of the seats were filled, how many seats are in the auditoriom? Round your answer to the nearest whole percent
Answer: 200 seats
Step-by-step explanation:
There are 96 students and 34 adults in a concert. The total number of people present is therefore:
= 96 + 34
= 130 people
These 130 people only fill 65% of the seats. Assume the total number of seats is x:
130 = 65% * x
x = 130/65%
x = 200 seats