Look at the pattern shown below.

2, 4, 16, 256 ...

What is f(n+ 1) in terms of f(n), where n represents the position of a term in this pattern?

A. (F(n))^2

B. 2(f(n))

C. (F(n)-1)^2

D. 2(f(n)-1)

Answer:

find common denominators

1. 19/15 or 1 4/15

2. 5/12

3. 29/24 or 1 5/24

4.1/6

5. 19/30

6. 13/18

7. 31/24 or 1 7/24

8. 11/20

9514 1404 393

Answer:

  a) at t=12, Whitney is speeding up

  b) 13/48 = 0.2704833 . . . miles/min; not a good measure

Step-by-step explanation:

a) At t=12, Whitney's velocity is -0.2 miles/min and is decreasing. That is, the magnitude of her velocity (speed) is increasing. Whitney is speeding up at t=12.

__

b) The (signed) area under the curve, divided by the time period (24 min) will give Whitney's average velocity. It can be found by using the formulas for area of a trapezoid and triangle.

  distance 0-11 = 1/2(11 +3)(0.8) = 5.6 miles

  distance 11-16 = 1/2(5)(-0.6) = -1.5 miles

  distance 16-24 = 1/2(8)(0.6 = 2.4 miles

Whitney's average velocity is ...

  (5.6 -1.5 +2.4)mi/(24 min) = 6.5 mi/(24 min) = (13/48) mi/min ≈ 0.270 mi/min

The laws of physics tell us that no work is being done if velocity is constant. Hence, the strenuousness of Whitney's pedaling depends on the acceleration she is maintaining. The average velocity measure tells nothing of that, so is a poor measure of how strenuously Whitney is pedaling.

Answer:

w < 7

Step-by-step explanation:

Since the inequality is an OPEN circle, that means the sign is < or >

Since the sign is going to the left that means it's < or ≤

The one that has both of these effects is <

Since the sign starts at 7, the inequality is w < 7

Answer: B. w<7

Step-by-step explanation:

Answer:

it is D ithought sinse for x=0 y=0 and for x=4 y=-2 (-1/2 x4 =-2 )and others didnot give correct nbs

Answer:

6

Step-by-step explanation:

Nonagon=9sides

Triangle=3sides

Difference=9-3=6

Answer:

D. -2

Step-by-step explanation:

The zero of a function is always along the x-axis and in this case that's -2.

Hope this helps :)

Answer:

4.7months

Step-by-step explanation:

2.82÷0.6 = 4.7

Answer:

X=8

Step-by-step explanation:

64 Divided by Eight equals Eight.

Because he worked eight hours that week and earned $64 so divide that up by eight then you got your answer.

Answer:

1:3

Step-by-step explanation:

Given thatm

No. of cricket players = 40

No. of kabaddi players = 20

Total no. of players = 40 + 20

= 60

The ratio of kabaddi players to the total number of players is :

R = 20:60

R = 2:6

R = 1:3

Hence, the required ratio is 1:3.

Answer:

Step-by-step explanation:

Suppose that f(2) = −4, g(2) = 3, f '(2) = −5, and g'(2) = 1.

Find h'(2).

(a)    h(x) = 4f(x) − 5g(x)

Use the constant multiple and difference rules:

h'(x) = 4f '(x) − 5g'(x)

h'(2) = 4*f'(2) − 5*g'(2), now substitute values and solve

h'(2) = 4*(−5) − 5*1 = −20 − 5 = −25

Answer:

360

Step-by-step explanation:

Volume of a rectangle is length times width times height

Answer:

i think there is something wrong with this problem

Step-by-step explanation:

maximum sum of all exterior angles is 360°

3(50°) = 150

150° + 127° + 135° = 412°

Answer:

Number of bacteria when t = 10 min is 3,000

Step-by-step explanation:

Given:

Number of bacteria in a culture by equation

Q(t) = 2(729^t)

Value of t = 10 min = 10 / 60 = 0.1667 hour

where t is number of hours

Find:

Number of bacteria when t = 0.1667 hour

Computation:

Given equation

Q(t) = 2(729^t)

Put t = 0.1667

Q(10) = 2(729⁰'¹⁶⁶⁷)

We know that;

a⁰ = 1

So,

Q(0.1667) = 2(729⁰)

Q(0.1667) = 3

Number of bacteria when t = 0 is 3,000

Answer:

Step-by-step explanation:

7 is 1

8 is 2

Answer:

what are the questions

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

12.50-8.00=3.00

The number of boxes of cookies that makes the cost equal is 6.

An equation is a mathematical statement containing two expressions on either sides which are connected with an equal to sign.

For the first store,

Cost for 5 boxes of cookies = $12.50

Cost for 1 box of cookie = 12.50 / 5 = $2.50

Cost for x box of cookies = 2.50x

For the second store,

Cost for 4 boxes of cookies = $8

Cost for 1 box of cookie = $8 / 4 = $2

Cost for x box of cookies = 2x

But you have to buy a gallon of milk for $3.00 to get that deal.

Total cost for x boxes of cookies = 2x + 3

Hence the cost model equations are :

C(x) = 2.50x and C(x) = 2x + 3

Cost will be equal when,

2.5x = 2x + 3

0.5x = 3

x = 6

Hence 6 boxes of cookies make both cost equal.

Learn more about Equations here :

https://brainly.com/question/13882230

#SPJ2

Answer:

1041.44

Step-by-step explanation:

A=2πrh+2πr^2

=2π6.5×19+2π6.5^2≈1041.43796

Answer:

The minimum sample size needed is 68.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Assuming that the standard deviation of the population of systolic blood pressures of executives of major corporations is 25 mm Hg.

This means that [tex]\sigma = 25[/tex]

What is the minimum sample size needed for the researcher to be 90% confident that his estimate is within 5 mm Hg of u?

This minimum sample size is n.

n is found when M = 5. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]5 = 1.645\frac{25}{\sqrt{n}}[/tex]

[tex]5\sqrt{n} = 1.645*25[/tex]

Dividing both sides by 5

[tex]\sqrt{n} = 1.645*5[/tex]

[tex](\sqrt{n})^2 = (1.645*5)^2[/tex]

[tex]n = 67.65[/tex]

Rounding up:

The minimum sample size needed is 68.

Answer:

15+25x

i guess it is done this way

sry if it is wrong

Answer:

i cant read it it pretty but i still cant read it sorry

Step-by-step explanation:

sorry

Answer:

f(-4)   =20

Step-by-step explanation:

f(-4) =  [tex](4)^{2}[/tex] +4 ( Insert -4 in)

f(-4) = 16+4

f(-4)   =20

Answer:

B. The product of 5 and a number.

Product means multiplication is taking place. In this case, 5 is being multiplied with n.

Hope this helps!

Answer:

The total will be 200, I agree to this person bc i did the math, and he or she is correct

Step-by-step explanation:

9514 1404 393

Answer:

  KK KL KM KN KP LL LM LN LP MM MN MP NN NP PP

Step-by-step explanation:

Instead of starting with adjacent letters in the list, we start with the same letter. There are 15 possible pairs.

  KK KL KM KN KP LL LM LN LP MM MN MP NN NP PP

__

Additional comment

We leave out pairs with letters previous, because you've said KL is the same as LK, and KL has already been listed. The problem with this list is that it misstates the probabilities of randomly obtaining a given pair. It is not 1/15, but is 2/25 for all but letter duplicates. For duplicates (KK), the probability is 1/25, not 1/15.

Answer:E

Step-by-step explanation:

( row total * column total ) / ( Table total)

Answer:

go make me a sandwhich you witch

Step-by-step explanation:

Answer:

76 sq. centimeters.

Step-by-step explanation:

Answer:

76 square centimeters

Step-by-step explanation:

Break it down into easier shapes.

There is one rectangle and one square. Both of them share the same formula for calculating area: length × width.

The rectangle is 6 cm long and 10 cm wide.

Plug this into the formula:

6 cm × 10 cm = 60 cm^2

The square is 4 cm wide. It does not directly say how long it is. Instead, notice how the rectangle below it is 6 cm long and adding the square to it totals to 10 cm long. This means the square is the difference between the total amount of cm and the rectangle's cm. Calculate the difference:

10 cm - 6 cm = 4 cm.

The square is 4 cm long and 4 cm wide.

Plug this into the formula:

4 cm × 4 cm = 16 cm^2

Add both areas together:

60 cm^2 + 16 cm^2 = 76 cm^2

Answer:

Part A) The distance between Whitney's house and Anh's house is 6.5 miles.

Part B) The total distance traveled by Whitney during the trip was 9.5 miles.

Step-by-step explanation:

Part A)

Notice that during Whitney's journey to Anh's house, her velocity was negative for some time. So, Whitney was travelling backwards. Hence, the total distance Whitney traveled will be greater than the actual distance from Whitney's house to Anh's.

So, instead, we can calculate Whitney's total displacement. Total displacement is given by:

[tex]\displaystyle \text{Displacement}=\int_a^bv(t)\, dt[/tex]

Where v(t) is the velocity function.

So, the displacement of Whitney when she traveled from her house to Anh's house will be:

[tex]\displaystyle \text{Displacement}=\int_0^{24}v(t)\, dt[/tex]

To calculate the integral, we can split it off at t = 11, t = 16, and t = 24.

The three regions represent three geometric figures, which we can use to calculate the area and then find the integral. Rewriting:

[tex]\displaystyle \text{Displacement}=\int_0^{11}v(t)\, dt+\int_{11}^{16}v(t)\, dt+\int_{16}^{24}v(t)\, dt[/tex]

Now, we can calculate the area of each figure.

The first figure is a trapezoid with a height of 0.8 and two bases of 11 and 3. So, its area is:

[tex]\displaystyle A_1=\frac{1}{2}(0.8)(11+3)=5.6\text{ miles}[/tex]

The second figure is a triangle with a height of 0.6 and a base of 5. So, its area is:

[tex]\displaystyle A_2=\frac{1}{2}(0.6)(5)=1.5\text{ miles}[/tex]

Lastly, the third figure is another triangle will a height of 0.6 and a base of 8. So, its area is:

[tex]\displaystyle A_3=\frac{1}{2}(0.6)(8)=2.4\text{ miles}[/tex]

However, notice that the second figure is below the x-axis. During that interval, Whitney was traveling backwards. Hence, we will subtract the second area from the rest of the areas.

Then the displacement will be:

[tex]\displaystyle \text{Displacement}=5.6-1.5+2.4=6.5\text{ miles}[/tex]

So, the distance between Whitney's house and Anh's house is 6.5 miles.

Part B)

The total distance differs from displacement in that it includes all the distances in both directions. It is given by:

[tex]\displaystyle \text{Distance}=\int_a^b|v(t)|\, dt[/tex]

In other words, all of our values are now positive. We will utilize the same strategy:

[tex]\displaystyle \text{Distance}=\int_0^{11}|v(t)|\, dt+\int_{11}^{16}|v(t)|\, dt+\int_{16}^{24}|v(t)|\, dt[/tex]

Substitute. The only difference is that we will add 1.5 instead of subtracting it. So:

[tex]\displaystyle \text{Distance} =5.6+1.5+2.4=9.5[/tex]

Therefore, in this instance, Whitney traveled a total of 9.5 miles to get to Anh's house.

Answer:

0,0215

Step-by-step explanation: