Mathematics High School

the ordered pairs model an exponential function, where w is the function name and t is the input variable.
{(1, 60), (2, 240), (3, 960), (4, 3840)}
what is the function equation in sequence notation?

wt = ____

Answers

Answer 1

Answer:

w = 15 (4^t)

Step-by-step explanation:

Let w be what the function is equal to

Let t be the input variable

equation :

w = k a^t

Plug in any two of the points to solve for k and a

for example, let's take (1, 60) and (2, 240):

60 = k * a^1

k = 60 / a

240 = k a^2

Substituting:

240 = 60/a (a^2)

a = 4

k = 15

The function is

w = 15 (4^t)

Related Questions

Solve the equation for x if necessary, enter fractions in lowest terms, using a slash (/) as a fraction bar
4x - 1 = 3(x + 1)
x=

Answers

Answer:

Step-by-step explanation:

4x - 1 = 3(x + 1)

4x - 1 = 3x + 3 [remove the parentheses by multiplying each term by 3]

4x = 3x + 4 [add 1 to both sides]

1x = 4 [Subtract 3x from both sides]

x = 4

===

Try it:

4x - 1 = 3(x + 1): ??

4*4 - 1 = 3(4 + 1) ??

15 = 3(5)

15 = 15 yes

ABCD is a square of side 4cm. In each of the following loci, the point p moves only inside the square. Sketch the locus in each case. AP=BP

Answers

The sketch of the locus AP = BP shows an equal distance between AP and BP which can be seen in the image attached below.

A square is a plane figure that has four sides with each side adjacent to each other and they make a right angle of 90° to one another.

A locus is a point that satisfies a constraint on the square of the distances between two lines.

The sketch of the locus AP = BP given an intersection between lines A and B and that intersection is point P.

Learn more about plane figures here:

https://brainly.com/question/20475473

Max rode his bike 40 miles in hours.

Answers

Answer:

I don't know what you want to know so I assume you want to find out his miles in minutes:

Divide 40 with 60

Which is 2/3

So Max rode 2/3 miles in a minute

Step-by-step explanation:

Answer:

4 hours if going ten mph and 2 hours if going 20 mph

Help help help help help math

Answers

Answer:

Step-by-step explanation:

Help! Will give brainliest!

Answers

Answer:

The domain of "Per Night Stay" would amount to $125 surcharge by day amounting to $3000 total cost function

Step-by-step explanation:

x+2y=0
3x+4y=4

find the solution

Answers

Answer:

(x, y) = (4, -2)

Step-by-step explanation:

The coefficient of y in the second equation is double the coefficient of y in the first. We can subtract twice the first equation from the second to eliminate y.

(3x +4) -2(x +2y) = (4) -2(0)

x = 4 . . . . . . . . . simplify

Substituting into the first equation, we have ...

4 +2y = 0

2 +y = 0 . . . . . . divide by 2

y = -2 . . . . . . . . subtract 2

The solution is (x, y) = (4, -2).

what is 1/4+3/8+1/2+5/8+3/4+7/8+1+1 1/4

Answers

Answer:

5.625 which is 5 5/8.

Step-by-step explanation:

Please help me with this question!

Answers

Answer:

a) 45/4

b) 3

c) 12

d) 24

e) no; rate of change varies

Step-by-step explanation:

The average rate of change on interval [a, b] is given by ...

m = (f(b) -f(a))/(b -a)

The function values are read from the table.

a) m = (f(4) -f(0))/(4 -0) = (48 -3)/(4 -0) = 45/4

b) m = (f(1) -f(0))/(1 -0) = (6 -3)/(1 -0) = 3

c) m = (f(3) -f(2))/(3 -2) = (24 -12)/(3 -2) = 12

d) m = (f(4) -f(3))/(4 -3) = (48 -24)/(4 -3) = 24

e) Not a linear function. The rate of change is not constant.

Determine whether the quadratic function shown below has a minimum or
maximum, then determine the minimum or maximum value of the function.
f(x) = –2x2 - 4x-8

Answers

Answer:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:

(

−

)

(

)

Focus:

(

−

)

(

)

Axis of Symmetry:

−

Directrix:

−

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:

(

−

)

(

)

Focus:

(

−

)

(

)

Axis of Symmetry:

−

Directrix:

−

Step-by-step explanation:

HELP please it’s due in a hour

Answers

Answer:

5 m, 2 m, 2.5 m, 2 m, 2.5 m, 4 m.

Step-by-step explanation:

First find the length of the 2 missing sides. Remember that the picture is WAY out of proportion, so the sides won't be what they look like.

Since the left side is 4 and the right side is 8 cm, the missing left side is 4 cm.

Since the top side is 5 and the bottom side is 10 cm, the missing top piece is 5 cm.

So the sides starting at the bottom right and going clockwise are 10, 4, 5, 4, 5, 8 cm. Multiply each of these * 0.5 and call them meters.

5 m, 2 m, 2.5 m, 2 m, 2.5 m, 4 m.

Your class is learning to tie knots. Each student needs a piece of rope that is 3/4 yard long. How many yards of rope are needed for the 20 students in your class?

Answers

Answer:

Step-by-step explanation:3/4*20=15

8. Which of the following equations represents
a line with a positive slope and a negative
y-intercept?
A. y = 3.5x
B. y = 7.5x – 2
C. y = 3x + 7
D. y = -5x -8

Answers

Answer:

d y=-5x-8

Step-by-step explanation:

Answer:

B. y = 7.5x – 2

Step-by-step explanation:

Any equation with a positive coefficient before the x is positive and the second value is the y - intercept.

Help help math math

Answers

Answer:

Step-by-step explanation:

hope this helps :)

It is asking you to use 3 for Pi. Volume is 4/3piR^3. Radius is 2cm, so the equation is V=(4/3)(3)(2)^3. The answer for this is 32cm cubed. Please give me brainliest thanks

what is the quotient of 5/12 divided by 3/4

Answers

your answer would be 5/9 or 0.5

Answer:

5/9

Step-by-step explanation:

dividing (5/12) by (3/4) we get,

(5/12) ÷ (3/4)

(5/12) × (4/3)

(5 /3 * 3)

(5/9) final answer

simply the expresstion: 5+8 (3 + x )

Answers

The answer is going to be 8x+29

Answer:

29+8x

Step-by-step explanation:

5+8(3+x)

Expand 8(3+x)

= 5+24+8x (add the numbers)

= 29+8x

In the image shown, line n is a transversal cutting parallel lines 1 and m. Angle 2= 2x+50 Angle 8= x+76. What is the measure of angle 2?
A. 102
B. 104
C.105
(there is no D btw :))

Answers

B 104 I just took that

If you are SMART? What is 100 x 100 without using a calculator?

Answers

Answer:

i got you it 10,000

Step-by-step explanation:

all you have to do is add the zeros

3/4 in simplest form WILL GIVE BRANLYEST!!!

Answers

Answer:

3/4 is in it's simplest form

Step-by-step explanation:

3/4 cannot be simplified any more, so it is at it's simplest form

A triangle has sides with lengths of 4 meters , 5 meters, and 7 meters . Is it a right angle ?

Answers

Answer:

Step-by-step explanation:

Solving quadratic formulas
8y²-30y+27=2

Answers

Y=5/2, 5/4 your welcome

A car is traveling at a rate of kilometers per hour. What is the car's rate in kilometers per minute? How many kilometers will the car travel in minutes? Do not round your answers.

Answers

Answer:

3.02

Step-by-step explanation:

Give me answer plz !!!

Answers

Answer:

c.-2.5 ,because[2.5]=2.5

Step-by-step explanation:

I hop this is fine

Answer:

B part

Step-by-step explanation:

2.5 because |2.5| = 2.5 and it's never negative.

Hope it helps :)

mr John wants to put a fence around his farm. if the length of one side is 25m and the width is the same length what would be the amount of fencing needed?

Answers

Answer:

100 meters

Step-by-step explanation:

4 sides

1 side = 25 m

25m = width as well

so just multiply 25 by 4 to get your answer

Mr John needs to focus on outlining the width and length of the farm. Based on the length and width being the same length, the shape of the farm is a square. To make things simple, multiply the length of one side by four and you will have the exact amount needed to place a fence.

25m x 4 = 100m

So, Mr John needs about 100m of fencing to complete the construction of the fence surrounding his farm.

What is the domain of this function?(9,–2)(6,–10)(–3,9)(5,2)

Answers

Answer:

{−9,−5,2,6,10Step-by-step explanation:

720 inches per second to miles per minute

Answers

Answer:

0.681818 miles per min

Step-by-step explanation:

An education website has 434,206 daily unique visitors. An e-commerce website gets double the number of visitors. How many visitors does the e-commerce website get? Show Your Work

Answers

Answer:

868412

Step-by-step explanation:

434206x2=868412

which table can be represented by the equation y=3x+2

Answers

I think the answer is 13

Find the magnitude of the vector (4,9).
Write your answer in simplified radical form.

Answers

Step-by-step explanation:

4^2+9^2=97

Magnitude=sqrt(97)

In simplified radical form, the magnitude of the vector (4, 9) is represented as √97.

How to find the magnitude of a vector?

To find the magnitude of a vector (a, b), you can use the formula which is expressed as:

Magnitude = √(a² + b²)

Given the vector (4, 9), let's calculate its magnitude as shown below:

Magnitude = √(4² + 9²)

Magnitude = √(16 + 81)

Magnitude = √97

So, the magnitude of the vector (4, 9) is √97 in simplified radical form.

Learn more about magnitude of a vector on:

https://brainly.com/question/3184914

#SPJ3

Solve the subtraction equation three fifths minus one third equals blank. Use multiplication to create equivalent fractions.

two halves
two fifteenths
four eighths
four fifteenths

Answers

I got the last one, four fifteenths.

Answer:

its four fifteenths

Step-by-step explanation:

3/5 = 9/15

1/3 = 5/15

9/15 - 5/15 = 4/15

4/15 = four fifteenths

The range of f(x) = |x| is y ≥ 0. If a < 0 and b ≠ 0 for g(x) = a|x| + b, what is the range of function g?

Answers

Answer:

blue or maybe green try purple

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the ordered pairs model an exponential function, where w is the function name and t is the input variable. {(1, 60), (2, 240), (3, 960), (4, 3840)} what is the function equation in sequence notation? wt = ____

Answers

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the ordered pairs model an exponential function, where w is the function name and t is the input variable.
{(1, 60), (2, 240), (3, 960), (4, 3840)}
what is the function equation in sequence notation?

wt = ____