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3 years ago

Can someone solve this it's really urgent please thank you

Mathematics

1 answer:

scZoUnD [109]3 years ago

8 0

Answer:

461.875 cubic cm

Step-by-step explanation:

Volume of wood in the block

= volume of cuboid - 3 times the volume of one hemisphere

$=lbh - 3\times \frac{2}{3} \pi r^3\\= 20\times 7\times 4 - 2\times 3.14\times (2.5)^3\\= 560 - 6.28\times 15.625\\= 560 - 98.125\\= 461.875 \: cm^3$

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Fed [463]

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8 0

3 years ago

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Write a recursive formula and an explicit formula for the following arithmetic sequence: -1,6,13,20,27

Luden [163]

Answer:

Recursive formula is: $a_1=-1 ; \ \ a_n=a_{n-1}+7$

Explicit formula is: $a_n=7n-8$

Step-by-step explanation:

We need to find recursive formula and explicit formula for arithmetic sequence -1,6,13,20,27

In the given sequence First term a₁= -1

Common difference d = 7

Finding Recursive Formula

The recursive formula is of type: $a_1= First \ term$ and $a_n=a_{n-1}+d$

Since the First term a₁ is -1 and common difference d is 7 so, the recursive formula for given arithmetic sequence will be:

$a_1=-1 ; \ \ a_n=a_{n-1}+7$

Finding Explicit Formula

The explicit formula is of type: $a_n=a_1+(n-1)d$

We have

First term a₁= -1

Common difference d = 7

So, explicit formula will be:

$a_n=-1+(n-1)7\\a_n=-1+7n-7\\a_n=7n-8$

So, explicit formula is: $a_n=7n-8$

7 0

3 years ago

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Veronika [31]

It seems like u are correct, smart man

3 0

3 years ago

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Explain why numbers with a 5 in the ones place are not prime numbers.

Pepsi [2]

Because it's divisible by 5 even though 5 is a prime number

3 0

3 years ago

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In a marble collection, 1/8 of the marbles are blue. Of the blue marbles, 1/2 have sparkles. What fraction of the marbles in the

Delvig [45]

Answer:

1/16

Step-by-step explanation:

if half the amount of blue marbles have sparkles you need to divide the amount of blue marbles in half

so 1/2 of 1/8 is 1/16

8 0

3 years ago

Can someone solve this it's really urgent please thank you​

Can someone solve this it's really urgent please thank you