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 = ____

The Ordered Pairs Model An Exponential Function, Where W Is The Function Name And T Is The Input Variable.

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

The altitude a (in feet) of a plane t minutes after liftoff is given by a = 3400t + 600. How many minutes after liftoff is the plane at an altitude of 21,000 feet

Answers

Answer:

6

Step-by-step explanation:

Altitude = 3400t +600

21,000 = 3400t +600

21000-600= 3400t

20400/3400 = 3400t/3400

t= 6

Answered by Gauthmath

On a given planet, the weight of an object varies directly with the mass of the object. Suppose that an object whose mass is 3 kg weighs 30 N. Find the weight of an object whose mass is 5 kg

Answers

Answer:

[tex]50 N[/tex]

Step-by-step explanation:

To help us find our answer, we need to use Newton's Second law

[tex]F = m \times a[/tex]

Where F is the force (N), m is the mass (Kg) and a is the acceleration (m/s^2, on a planet this would just be the gravity)

So if we know that a person has a mass of 3Kg and weighs 30N, the acceleration (or the gravity on that planet is)

[tex]30 = 3 \times a\\a = 10 m/s^2[/tex]

Now that we know the acceleration we can easily find the weight of the person.

[tex]F = 5 * 10 = 50 N[/tex]

(x-3).(x+3)-(x+5).(x-1)

Answers

is the dot a multiplication sign? if so the answer is -4x-4 (simplified)
bất đẳng thức đáng nhớ rồi phá cái bên cạnh ra là dc

the LCM of 30 , 45,90​

Answers

Answer:

540 is the answer

Step-by-step explanation:

hope u liked!

Frank can type a report in 2 hours and James takes 7 hours. How long will it take the
two of them typing together?

Answers

Answer: x = 1 hour and 33 minutes

Step-by-step explanation:

Let x = time (hours) it takes typing together

then

x(1/2 + 1/7) = 1

 multiplying both sides by 14:

x(7 + 2) = 14

x(9) = 14

x = 14/9

x = 1.56 hours

or

x = 1 hour and 33 minutes

Hope tjis help you!:)

Answer: 14/9 hr

Step-by-step explanation:

If you divide Frank's ability to write 1 report by 2 hours, he could write half a report in an hour. James could write one seventh of the report in a hour after dividing his ability to write 1 report in 7 hours. Find the least common denominator between 2 and 7, which is 14 convert 1/2 to that, which would be 7/14 and 2/14. Add That together and you'd get the amount of report they can write in an hour. If you multiply this by a number equalvilent to flipping 9/14, you'd get 1. This number is 14/9 hours.

Given that 3=a+r/a-r,make r the subject of the formula?​

Answers

Answer:

Step-by-step explanation:

[tex]3=\frac{a+r}{a-r} \\3a-3r=a+r\\3a-a=r+3r\\4r=2a\\r=\frac{1}{2} a[/tex]

please can someone help me?

Answers

Answer:

∠ 3 = 90°

Step-by-step explanation:

∠ 3 and ∠ 4 are adjacent angles on a straight line and sum to 180° , then

∠ 3 + ∠ 4 = 180°

∠ 3 + 90° = 180° ( subtract 90° from both sides )

∠ 3 = 90°

Tom makes two deliveries of bricks.
The distance of one delivery is 20 miles more than the distance of the other delivery.
(b) Work out the difference between the two delivery costs.

Answers

Y=x-40

y is the difference of the delivery prices
x is the the first delivery

Based on the markings of the two triangles, what statement could be made about ΔABC and ΔA′B′C′? Question 1 options: A) The corresponding pairs of sides and angles of ΔABC and ΔA′B′C′ aren't congruent. B) ΔABC and ΔA′B′C′ are congruent. C) ΔABC and ΔA′B′C′ are irregular polygons. D) ΔABC and ΔA′B′C′ aBased on the markings of the two triangles, what statement could be made about ΔABC and ΔA′B′C′? Question 1 options: A) The corresponding pairs of sides and angles of ΔABC and ΔA′B′C′ aren't congruent. B) ΔABC and ΔA′B′C′ are congruent. C) ΔABC and ΔA′B′C′ are irregular polygons. D) ΔABC and ΔA′B′C′ are similar but not congruent.re similar but not congruent.

Answers

Answer:

B) ΔABC and ΔA′B′C′ are congruent.

Step-by-step explanation:

Given

See attachment for [tex]\triangle ABC[/tex] and [tex]\triangle A'B'C'[/tex]

Required

Determine the relationship between both triangles

The single line on all sides of both triangles implies that the sides of the triangles are equal

i.e.

[tex]\triangle ABC \cong \triangle A'B'C'[/tex] --- sides

Similarly, the same mark on the three angles of both triangles means that the angles of the both triangles are equal

i.e.

[tex]\triangle ABC \cong \triangle A'B'C'[/tex] --- angles

Hence, both triangles are congruent

Answer:

B) ΔABC and ΔA′B′C′ are congruent.

Step-by-step explanation:

Consider this equation. tan) 19 17 If 8 is an angle in quadrant II, what is the value of Cos() OA. 19 6 OB. 17 6 O c. V18 6 OD. 17​

Answers

Using trigonometric identities, it is found that the value of [tex]\cos{\theta}[/tex] is given by:

B. [tex]\cos{\theta} = \frac{\sqrt{17}}{6}[/tex]

What is the tangent of an angle?

It is given by the division of it's sine by it's cosine, that is:

[tex]\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}[/tex]

In this problem, the equation given is:

[tex]\tan{\theta} = -\sqrt{\frac{19}{17}}[/tex]

That is:

[tex]\frac{\sin{\theta}}{\cos{\theta}} = -\sqrt{\frac{19}{17}}[/tex]

[tex]\sin{\theta} = -\sqrt{\frac{19}{17}}\cos{\theta}[/tex]

The following identity is applied:

[tex]\sin^2{\theta} + \cos^2{\theta} = 1[/tex]

Then:

[tex]\left(-\sqrt{\frac{19}{17}}\cos{\theta}\right)^2 + \cos^2{\theta} = 1[/tex]

[tex]\frac{36}{17}\cos^2{\theta} = 1[/tex]

[tex]\cos^2{\theta} = \frac{17}{36}[/tex]

[tex]\cos{\theta} = \frac{\sqrt{17}}{6}[/tex]

More can be learned about trigonometric identities at https://brainly.com/question/24496175

Answer:

Hi sorry I just wanted to ask is it B or D? positive or negative?

Step-by-step explanation:

edmentum is the worst

evaluate expression: evaluate each expression when a = "-2" b=4 and c=-10

2a+b

ac-b

a+b/a

8a+5b

-4a-b

3c/-5

Answers

Answer:

2a+b=0

ac-b=16

a+b/a=-4

8a+5b=-4

-4a-b =4

3c/-5=6

Point B is the image of point A when point A is rotated about the origin. What is known about point A and B?
5
A
B
-5
o
5 x
का
O Point B is the result of a 180° rotation.
O Point A and B have the same x-coordinate.

Answers

Answer:

the fourth option (A and B are the same distance from the origin)

Step-by-step explanation:

since B is the result of a rotation of A around the origin, they are both on the same circle (center point is the origin). so, they have both the same distance (the radius of the circle) from the center of the circle, which is the origin.

the third option is tempting, as the rotation was 90 degrees, but it was clockwise !

Please help out need explanation so I can know how to do it

Answers

Answer:

B = 60in^2

H = 4in

P = 34in

SA = 280

Step-by-step explanation:

Base - The base I assume would be the red rectangle, and 12x5 would be the area of that, so the answer is 60

Height - I assume that the height is 12, if the prism is vertical, if horizontal, then the height would be 4.

Perimeter - The length of the side lengths, so the base is the red sqaure 12+12+5+5=34

Surface Area - Base=60*4 (There are 4 "bases") =240, and then we have 5*4 (For the little squares, and times this by 2 becasue there are 2 of them) = 20*2=40

40+240=280

Instructions: Find the measure of the indicated angle to the nearest
degree.
50
?
17

Answers

Answer:

x = 19

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp /adj

tan ? = 17/50

Taking the inverse tan of each side

tan ^-1 (tan ?)) = tan^-1 (17/50)

? =18.77803

To the nearest degree

x = 19

Determine whether the sequence converges or diverges. If it converges, give the limit.

50, 25/2, 25/8, 25/32, ...

Answers

Answer:

The sequence converges to 0.

Step-by-step explanation:

Every new number is divided by 4 and will continue to grow smaller until it converges to 0.

equation of the line which passes through point (0,5) at gradient of - 1​

Answers

Answer:

y = - x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here gradient (slope) = - 1 and (0, 5) ⇒ c = 5

y = - x + 5 ← equation of line

Một người gửi tiết kiệm 100 triệu đồng theo kỳ hạn gửi là 1 năm. Sau 5 năm người người đó nhận được số tiền là 153,86 triệu đồng. Hỏi lãi suất người này gửi là bao nhiêu (lãi kép hàng năm):

Answers

Answer:

no

Step-by-step explanation:

F(x)=5x-3 encuentre el dominio, codominio y haga la tabla de valores

Answers

Answer:

i have no idia jk f(x)=5

Step-by-step explanation:

i fril dont kmow

Câu 2. Cho hình thang cân ABCD (AB // CD, AB CD). Gọi O là giao điểm của AD và BC, E là giao điểm của AC và BD. Chứng minh rằng: | a) Tam giác AOB cân ở O.
b) Các tam giác ABD và BAC bằng nhau. C) EC = ED
d) OE là trung trực của AB và CD.

Answers

Answer:

Step-by-step explanation:

Who can help me with this question as well

Answers

Answer:

36 degrees

Step-by-step explanation:

First, to find the exterior angle of a polygon, we must divide 360 by the number of sides/angles that the specific polygon has. In this case, our polygon has 10 sides, so it's a decagon.

If we apply this formula, where s = # of sides, we can find the exterior angle of this polygon:

360/s = exterior angle

360/10 = 36

Therefore, the exterior angle is 36 degrees.

Answer:

36°

Step-by-step explanation:

Sum of exterior angles of a polygon = 360°

The number seventeen and seven thousand in decimal form is​

Answers

Answer:

17.00 and 17,000.00

this is your answer to ur question

A man was traveling by air is allowed a maximum of 20kg luggages .The man has four bags weighing 3.5kg ,15 kg ,2kg and 1.5kg .Find excess weight of his luggage. 2 . Express the excess weight as a percentage of his maximum weight allowed.

Answers

Answer:

See explanation

Step-by-step explanation:

Maximum weight = 20 kg

Bag 1 = 3.5kg

Bag 2 = 15 kg

Bag 3 = 2kg

Bag 4 = 1.5kg

Total weight of bags = 22 kg

Excess weight of his luggage = Total weight of bags - Maximum weight

= 22 kg - 20 kg

= 2 kg

Express the excess weight as a percentage of his maximum weight allowed = excess weight / maximum weight × 100

= 2/20 × 100

= 0.1 × 100

= 10%

Express the excess weight as a percentage of his maximum weight allowed = 10%

HELP PLS WITH PYTHAGOREAN THEOREM

Answers

Answer:

100 ft

Step-by-step explanation:

We need to find the diagonal ( or hypotenuse)

We can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

80^2 + 60^2 = c^2

6400+3600 = c^2

10000 = c^2

Taking the square root of each side

sqrt(10000) = sqrt(c^2)

100 = c

A man drove his car a distance of 260 miles in 4 hours. If continuing at this rate how many miles will he travel in 8 miles

Answers

Answer:

520

Step-by-step explanation:

260/4=520/8

Method 1: Cross Multiply

Method 2: Find GCF

Multiply: (2x+y) (n2-3xy+y2)

Answers

Answer:

[tex]{ \tt{(2x + y)( {n}^{2} - 3xy + {y}^{2} )}} \\ = { \tt{(2x {n}^{2} - 3 {x}^{2}y + 2x {y}^{2} + {n}^{2}y - 3x {y}^{2} + {y}^{3} )}} \\ = { \tt{ {y}^{3} - xy(y + 3x) + {n}^{2} y }}[/tex]

Hello!

(2x+y) (n2-3xy+y2)

2x* n²= 2xn²

2x* -3xy = -6x²y

2x* y² = 2xy²

y*n² = yn²

y*-3xy = -3xy²

y* y² = y³

=>

2xn²- 6x²y + 2xy² +yn²- 3xy² +y³

Using the proportion you found in Question 3, write an equation for the length of arc EF in terms of the radii of AB and AC and the length of arc CD.

Answers

Answer:

Step-by-step explanation:

martin is filling his bathtub, but he left the drain partially open. martin knows that it takes 8 minutes to fill his 40 gallon tub. the equation v = 2.5t represents the volume, v , of water that drains out of the tub in t minutes. if martin leaves the water on, will the tub ever overflow ?

please someone help ​​

Answers

Answer:

Yes, it will overflow after 16 minutes..

Step-by-step explanation:

The tub fills at a rate of 5 gallons every minute, but it drains at a rate of 2.5 gallons every minute. This means that it fills twice as fast as it drains, so it would take 16 minutes for the tub to overflow. If you subtract the rate of draining from the rate of filling then the net rate of water going up is 2.5 gallons a minute.

Solve for a. a+|-23+6|=-32
Plz help

Answers

Answer:

a = -49

Step-by-step explanation:

a+|-23+6|=-32

Simplify the absolute value term

a+|-17|=-32

a+17=-32

Subtract 17 from each side

a +17-17 = -32-17

a = -49

Answer:

a = −49

Step-by-step explanation:

a + ∣ − 17∣ = −32

a + 17 = −32

a = −32 − 17

Simplify.

-32 - 17 to -49.

What is 2:50 is simplest form

Answers

Answer:

0.04

Step-by-step explanation:

2 / 50 is the same as 1 / 25.

1 / 25 = 0.04

Answer:

0.04

Step-by-step explanation:

Given HM = 24 and mHK = 66 , find x and y​

Answers

Answer:

x=24,y=33

hopefully this answer can help you to answer the next question

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