the answer is:
-5w - 12
The function f(x) = 4 x 3^x models the population of tadpoles in a frog pond after x years. Write a recursive formula to model the situation
Answer:
[tex]f(n) = 3T_{n-1}[/tex]; [tex]T_1 = 12[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 4*3^x[/tex]
Required
Write as a recursive function
Substitute 1 for x.
[tex]f(1) = 4*3^1 = 4 * 3 = 12[/tex]
[tex]f(2) = 4*3^2 = 4 * 9 = 36 = 12 * 3[/tex]
[tex]f(3) = 4*3^3 = 4 * 27 = 108 = 36 * 3[/tex]
Following the above pattern:
[tex]f(n) = T_{n-1} * 3[/tex]
[tex]f(n) = 3T_{n-1}[/tex]
Hence, the recursive function is:
[tex]f(n) = 3T_{n-1}[/tex]; [tex]T_1 = 12[/tex]
me ayudan de nuervo porfavor
Write a linear equation in slope Intercept form of a line with a slope of -3 and y Intercept of 0
Answer:
y=-3x
Step-by-step explanation:
THe equation formula is y=mx+b, with m being the slope and b being the y-intercept. Because the y intercept is 0, you don't need to include it.
What is the volume of this triangular pyramid?
£1500 is invested for 3 years at 2% per year simple interest. Work out the total interest.
2÷100=0.02
1500×0.02=30
30×3=90
Answer:
£90
Step-by-step explanation:
Simple interest (I ) is calculated as
I = [tex]\frac{PRT}{100}[/tex] ( P is principal, R is rate of interest and T time in years )
Here P = 1500, R = 2 and T = 3 , then
I = [tex]\frac{1500(2)(3)}{100}[/tex] = 15 × 2 × 3 = 30 × 3 = £90
So I need 20 words but I don’t get why so here’s this useless sentence
Answer:
peeeeeepppppssssss
Step-by-step explanation:
wussup
Cual es mayor? >, <, o =
-8 o 8 ?
1,3 o -1,2?
-5 o 0?
0 o 4?
0 o -0,1
3 o 5
3,2 o 3,12
Answer:
-8<8
1,3>-1,2
-5<0
0<4
0>-0,1
3<5
3,2>3,12
zero es mas grande que los numeros negativos
Work out the value of 4^5
Answer: 2/15
Step-by-step explanation:
firstly divide lcm by denominator 1 = 15/5 = 3
then multiply by 3 nominator = 4*3 = 12
then divide lcm by denominator 2 = 15/3= 5
Multiply by 5 nominator = 5*2 = 10
lastly 12-10/15 ( both answer upon lcm)
2/15
I need help with this
TS is the height of a building. PQR is a pole in front of the building. QT is a horizontal cable that supports the pole to the building. Find the height of the pole?
Answer:
The answer is 65.75
Step-by-step explanation:
Since tq is perpendicular to PR then qtsr becomes square
Then
[tex]qr = 30 \: \: \: \: \: and \: qt = 30 \\ [/tex]
Since the triangle pqt is right angled
Then
[tex]pq = qt \tan(50) = 30 \times \tan(50 ) = 35.75[/tex]
Then the height of the pole is equal to
[tex]pq + qr = 35.75 + 30 = 65.75[/tex]
Please help!!!
There are 5,000 books in the town's library. Of these, 4,900 are fiction. To
find the percent of the books that are fiction, first set up the percent equation. Then find the percent.
Setup the percent equation. Choose the correct answer below.
A. 5,000 = m times 4,900
B. 5,000 = m divided by 4,900
C. 4,900 = m times5,000
D. 4,900 = m divided by5,000
(type whole number)
thank u so much!!
i will give brainliest to the correct answer!!
Answer:
C. 4,900 = m times 5,000
Step-by-step explanation:
Total books = 5,000
Fiction = 4,900
Calculations:
[tex]5,000. \frac{x}{100} =4,900[/tex]
[tex]\frac{x}{100} = \frac{4,900}{5,000}[/tex]
[tex]\frac{x}{100} =0.98[/tex]
[tex]x=98[/tex]
Now that we know x we can come up with the equation and can determine which one is correct. x = m = 98%
Therefore, 4,900 is 98% of 5,000.
So 5,000 x 98% = 4,900
And the equation that matches that is C.
It’s really hard...pls help
Answer:
80
Step-by-step explanation:
360 - (110+80+90) = 80
Answer:
80°
Step-by-step explanation:
360-110-90-80
Angles outside a circle add up to 360°
WHOEVER ANSWERS FIRST GETS BRAINLIEST!! PLZ EXPLAIN CLEARLY
A standard sheet of paper in the United States is 11 inches long and 8.5 inches wide
Each inch is 2.54 centimeters. How long and wide is a standard sheet of paper in centimeters?
A standard sheet of paper in Europe is 21.0 cm wide and 29.7 cm long. Which has the greater area, the standard sheet of paper in the United States or the standard sheet of paper in Europe?
Answer:
Step-by-step explanation:
1 in = 2.54 cm
Part (a)
Answer: 8.268 in
Part (b)
Answer: 11.693 in
Part (c)
In SI units standard-sized paper is 21.0 cm by 29.7 cm, which is equivalent to 8.268 in by 11.693 in.
Answer: 8.268 in by 11.693 in.
Part (d)
The U.S sized standard paper is 8.0 in by 11.0 in. Therefore the SI (internationally) sized paper is longer.
Part (e)
If the U.S> adopts the SI standard for letter-sized paper, both the width and length of standard paper will have to be increased. Therefore letter-sized paper will occupy a larger area and will be heavier if the thickness and density do not change.
PLEASE HELP ME 100 POINTS
A. 6.3 in
B. 9.1 in
C. 12.6 in
D. 25in
E. 50.2 in
Circumference
[tex]\\ \tt\hookrightarrow 2\pi r[/tex]
[tex]\\ \tt\hookrightarrow 2(3.14)(4)[/tex]
[tex]\\ \tt\hookrightarrow 6.28(4)[/tex]
[tex]\\ \tt\hookrightarrow 25.12in[/tex]
Answer:
Radius of the circle=4 in
Circumference=?
We know that,
[tex] \purple{Circumference_{(circle)}=2πr}[/tex]
[tex] \displaystyle\purple{Circumference_{(circle)}=2 \times 3.14 \times 4}[/tex]
[tex]\purple{Circumference_{(circle)}=6.28 \times 4}[/tex]
[tex]\purple{Circumference_{(circle)}=25.12 \: in.}[/tex]
-4(y-2)=12
what does y equal
Answer:
y = -1
Step-by-step explanation:
-4 (y - 2) = 12
1. Multiply: -4y + 8 = 12
2. Subtract: -4y = 4
3. Divide: y = -1
Suppose two trains, say A and B are initially 125 miles apart on the same east-west track. Train A is initially to the west of train B. Train A begins to head due east at 25 mph, and train B begins to head due west at 20 mph. To the nearest minute, how long will it take for the two trains to collide?
Answer:
[tex]167\ \text{minutes}\text{ or }166\ \text{minutes}\ \text{and}\ \text{40}\ \text{seconds}[/tex]
Step-by-step explanation:
Distance between the two trains is 125 miles.
So, when they will collide they would have covered a distance of 125 miles together.
The time that will pass for both the trains will be same but the distances covered will be different as their speeds are different.
[tex]\text{Distance}=\text{Speed}\times \text{Time}[/tex]
[tex]25t+20t=125\\\Rightarrow t=\dfrac{125}{45}\\\Rightarrow t=\dfrac{25}{9}\ \text{hours}=\dfrac{25}{9}\times 60\times 60=10000\ \text{s}=166.67\ \text{minutes}\\\approx 167\ \text{minutes}\\=166\ \text{minutes}\ \text{and}\ \text{40}\ \text{seconds}[/tex]
[tex]167\ \text{minutes}\text{ or }166\ \text{minutes}\ \text{and}\ \text{40}\ \text{seconds}[/tex]
The system of equations has .
the options are
1. one solution
2. no solution
3. infinitely many solutions
Answer: 3. Infinitely many solutions
Step-by-step explanation:
If you simplify the first equation you get the same equation of y=-2 which is infinitely many solutions
Forest needs to repaint the right side of his house because sunlight and rain have caused the paint to peel. Each can of paint states that it will cover 150 square feet. Help forest decide how many cans of paint he should buy?
Answer:
Step-by-step explanation:
In order for Forest to decide how many cans of paint to buy he first needs to know how many square feet make up the wall that he wants to paint. He can calculate this by multiplying the length of the wall by the height of the wall. That will give him the square footage of the wall which can be represented as x in the following formula. Now that he has that, he needs to divide this value by 150 which is what each can of paint covers. The answer will be the number of cans that Forest should buy.
x / 150 = number of cans
The numbers of cans of paint he should buy can be calculated as follows :
x / 150.
where
x = Area of the wall needed to be painted in square feet.
Forest needs to paint the right side of his house because of sunlight and
rain.
According to his analysis each can of paint will cover an area of 150 ft².
This simply means for every 150 square feet of his wall, he will require 1
can of paint.
The number of paint he should buy can be determined as follows:
let
x = area of the right side of his wall needed to be painted
The number of can required = x / 150
learn more; https://brainly.com/question/11560953?referrer=searchResults
Fill in the missing term on each line. Simplify any fractions.
مام
+ 4 = 6
b
=
Subtract 4 from both sides
b =
Multiply both sides by 3
Simplify a^5/a^3 and c^4/c^3
Answer:
a²
c¹
Step-by-step explanation:
a^5/a^3 = a^(5-3) = a²
c^4/c^3 = c^(4-3) = c¹
help me please . i hope to find a solution :((
Answer:
277.778 m/s
Step-by-step explanation:
just divide by 3.6
Add the equations. What value belongs in the green box? 3x + 2y = 9 -x - 2y = 4 [?] + [?] = [?] A. 4x B. 2x C. -3x D. -2x
Consider the first blank is the green box.
Given:
The equations are
[tex]3x+2y=9[/tex]
[tex]-x-2y=4[/tex]
To find:
The value belongs in the green box
Solution:
We have,
[tex]3x+2y=9[/tex] ...(i)
[tex]-x-2y=4[/tex] ...(ii)
Adding (i) and (ii), we get
[tex]3x+2y-x-2y=9+4[/tex]
[tex](3x-x)+(2y-2y)=13[/tex]
[tex]2x+0=13[/tex]
So, the value for the first black is 2x. It means the value belongs in the green box is 2x.
The values of three blanks are 2x, 0 and 13 respectively.
Therefore, the correct option is B.
Answer:
2x + 0 = 13
Step-by-step explanation:
To add the equations, we add the corresponding terms on both sides of the equal sign.
The given equations:
3x + 2y = 9
-x - 2y = 4
Adding the equations term by term:
(3x + (-x)) + (2y + (-2y)) = 9 + 4
Simplifying the equation:
2x + 0 = 13
The term "0" in the equation indicates that the terms (2y and -2y) cancel each other out when added.
4. Which point is labeled at (-2, 3)?
Answer:
G
Step-by-step explanation:
I hope this helps, have a great day:) God bless you!
Answer:
g
Step-by-step explanation:
bc you go from -2 then up the Y axis 3 times and its g
HELP OMG PLEASE ITS EASY IM JUST LAZY TO USE MY BIG BRAIN TY <3
Answer:
3. <0, <BOA, <ABO
45
4. <E, <NED,<DEN
80
here you guess and judge by your basic knowledge of angles and guess the angle measurement. and as far as the angle names with three points there should be three names and so the angle you are measuring must always be in the middle and ya :))
What is a solution to the inequality m<25
Answer:
I think the answer is m= -91
PLEASE HELP ME ASAP!! MY CLASS IN 6 MINUTES!
At a gathering of 12 people, there are 5 people who all know each other and 7 people who know no one. People who do not know each other shake hands. How many handshakes occur?
Answer: someone told me its 35 so...
Step-by-step explanation:
Answer:
Step-by-step explanation: Since there are 7 people who shake hands with everybody including the people who know each other, we can add 11+10+9+8+7+6+5, because each handshake counts once, but the other five can't be counted because they are the people who already know each other and if you add 11+10+9+8+7+6+5, you will also get 16*3 +8 which equals to 56.
Which expressions are equivalent?
o šk-şi and şi +
o *-Žj and -3k+ şi
o 1/3 - 2/1 and 1 1 2 3 4
0 1 4 - 2 21 and 1 / 1 - 1 / 4
PLZZ HURRY
FOR 100points
Answer:
3 is equvalent...........
The expressions which are equivalent are; 1/3 - 2/1 and -1 2/3
Equivalent expressionsAccording to the question;
We are required to determine which expressions are equivalent.The equivalent expressions are; 1/3 - 2/1 and -1 2/3.
Upon evaluation; 1/3 - 2/1;
1/3 - 2/1 = 1 - 6/3 = -5/3-5/3 = -1 2/3Read more on equivalent expressions;
https://brainly.com/question/11258067
PLZ HELP 2/3*2
THXXX
Answer:
4/3 or 1 1/3
Step-by-step explanation:
2/3 x 2/1 gets you 4/3
That's an improper fraction, so you can simplify it to 1 1/3 if necessary.
HELP PLEASE IM GOING TO FAIL WILL GIVE BRAINLESS
Answer:
x= 20
AD= 23
DC= 23
AC= 46
Step-by-step explanation:
because it's a median that means that x+3=2x-17 solve for x and get x=20 which (I think) means that AD, DC= 23 and that AC= 46
Six added to the quotient of 84 and seven
Answer:
84 divided by 7 is 12 + 6 = 18