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2 years ago

PLZZZZZZZZ BRAINILEST

Mathematics

1 answer:

vivado [14]2 years ago

8 0

Answer:

Mass

Step-by-step explanation:

"Robin collected data from dropping watermelons of different 'MASS' for the same height"

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Question 31 pts Prove the statement is true using mathematical induction: 2n-1 ≤ n! Use the space below to write your answer. To

Sladkaya [172]

Answer:

P(3) is true since 2(3) - 1 = 5 < 3! = 6.

Step-by-step explanation:

Let P(n) be the proposition that 2n-1 ≤ n!. for n ≥ 3

Basis: P(3) is true since 2(3) - 1 = 5 < 3! = 6.

Inductive Step: Assume P(k) holds, i.e., 2k - 1 ≤ k! for an arbitrary integer k ≥ 3. To show that P(k + 1) holds:

2(k+1) - 1 = 2k + 2 - 1

≤ 2 + k! (by the inductive hypothesis)

= (k + 1)! Therefore,2n-1 ≤ n! holds, for every integer n ≥ 3.

4 0

2 years ago

Is 10 gallons greater or 1280 fluid ouncez

Cerrena [4.2K]

There are 128 fluid oz in 1 gallon
10*128=1280

so they are both the same
10 gallons=1280 fluid oz

6 0

2 years ago

Read 2 more answers

A Bike shop charges by the hour to rent a bike. Related items are rented for flat fees. Write an expression that represents how

IgorLugansk [536]

Answer:

y= b+ 3a

Step-by-step explanation:

Given data

We are required to rent a bike and a helmet

le the flat fee for bike rental be a

and the flat fee helmet be b

let the number of hours be h

and let the total cost be y

y= b+ah

for h = 3

tThen the expression for the total is given as

$y= b+ 3a$

3 0

2 years ago

Read 2 more answers

Darrell had 13 toy cars. Then he bought 22 cars from the toy store and got 21 cars for his birthday. Darrell gave 5 of the toy c

maks197457 [2]

Answer: 5 toy cars

Step-by-step explanation: Hi there.

First, add the number of cars that he had, the number of cars he bought, and the number of cars he received for his birthday: 13+22+21=56

Then subtract your answer (56) from the number of toy cars he gave away to Wayne and his sister: 56-46-5=5

Therefore, Darrel has 5 toy cars left.

Have a nice day! :)

4 0

1 year ago

Read 2 more answers

A fence is to be built to enclose a rectangular area of 210 square feet. The fence along three sides is to be made of material t

Serhud [2]

Answer with explanation:

Let the length of rectangular fence = x meters

Let the width of the rectangular fence = y meters

Thus

$Area=x\times y=210ft^{2}...........(i)$

Now Let the total cost to construct the fence be 'C' can be obtained if we construct the shorter side with material with cost $12 per foot

$\therefore C=5\times (2y+x)+12\times x\\\\C=10y+17x...............(ii)$

Using value of x from the equation i into equation ii we get

$C=10y+17\times \frac{210}{y}$

hence to minimize the cost we differentiate both sides with respect to 'y' and equate the result to zero thus we get

$C=10y+17\times \frac{210}{y}\\\\\frac{dC}{dy}=\frac{d}{dy}(10y+\frac{3570}{y})\\\\0=10-\frac{3570}{y^{2}}\\\\\therefore y=\sqrt{\frac{3570}{10}}=18.894feet$

Thus $x=\frac{210}{18.894}=11.11feet$

Thus value of length = 11.114 feet and value of width = 18.894 feet.

4 0

2 years ago

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