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NikAS [45]
3 years ago
13

a rock is thrown in the air from the edge of a seaside cliff. it's height in feet is represented by f(x) = - 16(ײ-8x-9), where

is the numbers of seconds since the rock was thrown. the height of the rock is 0 feet when it hits water​
Mathematics
1 answer:
Ainat [17]3 years ago
4 0

Answer:

6 seconds

Step-by-step explanation:

Just took the test :)

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a basket of oranges weighs 25lb 3oz. The empty basket weighs 1lb 4oz. What is the weight of the oranges?​
marysya [2.9K]

Answer:

383 Oz, or 23.9375 Ibs

Step-by-step explanation:

Convert all the pounds to ounces for both just the basket and the basket with oranges then subratact the basket ounces from the basket and oranges ounces and you get your answer.

3 0
2 years ago
How many different ways are there to choose a subset of the set {1,2,3,4,5,6} so that the product of the members of the subset i
zvonat [6]

You have to pick at least one even factor from the set to make an even product.

There are 3 even numbers to choose from, and we can pick up to 3 additional odd numbers.

For example, if we pick out 1 even number and 2 odd numbers, this can be done in

\dbinom 31 \dbinom 32 = 3\cdot3 = 9

ways. If we pick out 3 even numbers and 0 odd numbers, this can be done in

\dbinom 33 \dbinom 30 = 1\cdot1 = 1

way.

The total count is then the sum of all possible selections with at least 1 even number and between 0 and 3 odd numbers.

\displaystyle \sum_{e=1}^3 \binom 3e \sum_{o=0}^3 \binom 3o = 2^3 \sum_{e=1}^3 \binom3e = 8 \left(\sum_{e=0}^3 \binom3e - \binom30\right) = 8(2^3 - 1) = \boxed{56}

where we use the binomial identity

\displaystyle \sum_{k=0}^n \binom nk = \sum_{k=0}^n \binom nk 1^{n-k} 1^k = (1+1)^n = 2^n

3 0
1 year ago
Calculate the surface area and the volume of cube with length 10m and 13cm​
Vlad1618 [11]

Answer:

130

Step-by-step explanation:

for me I calculated the

10 times 13

if it is wrong sorry

5 0
3 years ago
2. What are the current values and appreciation rates of the two coins you selected?
Anit [1.1K]

Step-by-step explanation:

You should pick the coin that is cheap but one that also has a high inflation value. You should graph out the rate of increase per year to see if the coins are worthy of investing upon

6 0
3 years ago
Find the volume of the solid where the cone and half sphere are hollow. Use 3.14 for П ; height is 19 in; radius is 5 in. Round
Vera_Pavlovna [14]

Volume of Solids

The volume of the solid is 758.83 in³

Step-by-step explanation:

Given that the cone and half sphere is hollow

The volume of the cone = 1/3 \pi r^{2} h\\

The Volume of the sphere  = 4/3 \pi r^{3}

So the Volume of the half sphere =2/3\pi r^{3}

The volume of solid = volume of cone + volume of the half sphere

V = V_{1}  + V_{2}

Given

height h = 19 in

radius r = 5 in

V_{1\\}  = 1/3 \pi r^{2} h

     = 1/3 × 3.14 × 5 × 5 × 19

     = 497.16 in³

V_{2}  =  2/3 \pi r^{3}

   = 2/3 × 3.14 × 5 × 5 × 5

   = 261.67 in³

V =  497.16 in³ + 261.67 in³

  = 758.83 in³

Hence the volume of the solid is 758.83 in³

3 0
3 years ago
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