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3 years ago

Find all the powers of 3 in the range 3 through 1,000.

2 answers:

6 0

3^1=3
3^2=9

lets skip a couple and guess
3^10=59049 oops too high

3^6=729 good
3^7=2187 too high so

the answers are
3^1
3^2
3^3
3^4
3^5
3^6

uranmaximum [27]3 years ago

5 0

3^1 = 3
3^2 = 9
3^3 = 27
3^4 = 81
3^5 = 243
3^6 = 729

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It takes 32 hours for a motorboat moving downriver to get from pier A to pier B. The return journey takes 48 hours. How long doe

lina2011 [118]

Answer:

Time taken by the un powered raft to cover this distance is T = 192.12 hr

Step-by-step explanation:

Let speed of boat = u $\frac{km}{hr}$

Speed of current = v $\frac{km}{hr}$

Let distance between A & B = 100 km

Time taken in downstream = 32 hours

$32 = \frac{100}{u +v}$

$u + v = \frac{100}{32}$

u + v = 3.125 ------ (1)

Time taken in upstream = 48 hours

$48 = \frac{100}{u -v}$

$u -v = \frac{100}{48}$

u - v = 2.084 ------- (2)

By solving equation (1) & (2)

u = 2.6045 $\frac{km}{hr}$

v = 0.5205 $\frac{km}{hr}$

Now the time taken by the un powered raft to cover this distance

$T = \frac{100}{v}$

Because un powered raft travel with the speed of the current.

$T = \frac{100}{0.5205}$

T = 192.12 hr

Therefore the time taken by the un powered raft to cover this distance is

T = 192.12 hr

3 0

3 years ago

Read 2 more answers

Circles and inscribed angles

andreev551 [17]

Answer:

angle formed by two chords in a circle

Step-by-step explanation:

3 0

3 years ago

What is -3m-8v-4m+5v

vladimir1956 [14]

I hope this helps you

-3m-4m-8v+5v

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3 0

3 years ago

Read 2 more answers

#9 and #10<br> Please show work

Tatiana [17]

Answer:

Part 9) The number of items on Emily's grocery list is 5 and the number of items on Bobby's grocery list is 13

Part 10) The height of the taller bookshelf is 4 feet and the height of the shorter bookshelf is 1 foot

Step-by-step explanation:

Part 9)

Let

x ----> number of items on Emily's grocery list

x ----> number of items on Bobby's grocery list

we know that

$y=2x+3$ ----> equation A

$x=y-8$ ----> equation B

Solve by substitution

Substitute equation A in equation B

$x=(2x+3)-8$

solve for x

$x=2x-5$

$2x-x=5$

$x=5$

Find the value of y

$y=2(5)+3=13$

therefore

The number of items on Emily's grocery list is 5 and the number of items on Bobby's grocery list is 13

Part 10)

Let

x ----> the height of the taller bookshelf in feet

y ----> the height of the shorter bookshelf in feet

we have

$x=5y-1$ ----> equation A

Remember that

$1\ ft=12\ in$

To convert inches to feet divide by 12

$60\ in=60/12=5\ ft$

$x+y=5$ ----> equation B

Solve the system by substitution

substitute equation A in equation B

$(5y-1)+y=5$

solve for y

$5y+y=5+1$

$6y=6$

$y=1\ ft$

Find the value of x

$x=5(1)-1=4\ ft$

therefore

The height of the taller bookshelf is 4 feet and the height of the shorter bookshelf is 1 foot

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2 years ago

Determine the value of x in the figure.

telo118 [61]

Your answer is in the picture.

6 0

2 years ago