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3 years ago

NEED DONE BY 8 PLEASE HELP!!

Mathematics

1 answer:

iogann1982 [59]3 years ago

7 0

Answer:

a. 8 y/s; divide 40(distance) by 5(time)

b. 1/8 2/16 3/24 4/32 5/40 6/48 7/56; multiply speed and time ex. 8×1=8; 8×2=16; 8×3=24 and so on

c. 80 yards; multiply time and distance 8×10

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Find the geometric mean between 6 and 48 given the sequence (3,6,12,24,48,96)

Sedaia [141]

Answer:

16.97

Step-by-step explanation:

the geometric mean value of a set of n numbers is the nth root of the product of all n numbers.

so, here this means

$gm = \sqrt[6]{3 \times 6 \times 12 \times 24 \times 48 \times 96}$

this would be 16.97

but careful, the problem only asks for the gm between 6 and 48 of the sequence.

so, we actually only consider the subset 6, 12, 24, 48.

therefore

$gm = \sqrt[4]{6 \times 12 \times 24 \times 48}$

this is also

$gm = \sqrt[4]{3 \times 2 \times 3 \times 2 \times 2 \times 3 \times 2 \times 2 \times 2 \times 3 \times 2 \times 2 \times 2 \times 2}$

$= \sqrt[4]{ {3}^{4} \times {2}^{10} }$

$= \sqrt[4]{ {3}^{4} \times {2}^{4} \times {2}^{4} \times {2}^{2} }$

$= 3 \times 2 \times 2 \times \sqrt[4]{ {2}^{2} }$

$= 12 \times \sqrt{2}$

so, we could specify the result as that simple expression

or calculate it

gm = 16.97

hey, the result is the same as for the complete sequence.

coincidence ? no, it is not. but that is a subject for a different question.

8 0

3 years ago

A hotel is building a large new aquarium for their lobby. They know the length from the top corner to the opposite bottom corner

nignag [31]

Answer:

3 ft, 144 ft³

Step-by-step explanation:

Find the width as below

l² + w² + h² = d², where l- length, w- width, h- height, d- the distance between top and bottom corners

Substitute the values and solve for w

4² + w² + 12² = 13²
w² + 160 = 169
w² = 9
w = 3 feet

Now find the volume

V = lwh
V = 4*3*12 = 144 ft³

6 0

2 years ago

What is the value of the expression 5b+3c-20+3b-15c+4 when b= 2 and c= -3

Molodets [167]

Answer: 36

Step-by-step explanation:

5(2)+3(-3)-20+3(2)-15(-3)+4

10-9-20+6+45+4

-19+55

3 0

3 years ago

I WILL AWARD BRAINLIEST TO THE FIRST PERSON TO ANSWER HONESTLY

ruslelena [56]

Answer:

1,3,5

Step-by-step explanation:

Your first answer is correct,the third one too,and your fifth too.

Hope this helps:)

Pls mark brainlist

3 0

3 years ago

PLEASE HELP. <br> I know how to do these but I'm stuck on this one.

Nezavi [6.7K]

Steve ran 11 miles

let the distance Steve ran be x

Then distance Kevin ran is x + 4 ( 4 miles more than Steve )

x + x + 4 = 26 ( the sum of their distance is 26 )

2x + 4 = 26 ( subtract 4 from both sides )

2x = 22 ( divide both sides by 2 )

x = 11

Steve ran 11 mies and Kevin ran 11 + 4 = 15 miles

check 11 + 15 = 26

5 0

3 years ago