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lions [1.4K]
3 years ago
10

Help me plz

Mathematics
2 answers:
Sindrei [870]3 years ago
8 0
96 seconds because if it shoots out 1/3 of a gallon per second we have to multiply that by 3. so it takes 3 seconds per gallon. so 3x32 is 96
gulaghasi [49]3 years ago
4 0

Answer:

It will take 96 seconds to empty the bucket.

Step-by-step explanation:

To answer this all you have to do is divide 32 by 1/3. To do this you first have to turn 32 into and improper fraction by changing it into 31 3/3 and then multiplying 31 times 3 (93) and then adding 3, which gives you 96 so you get 96/3. You also have to change the division sign into a multiplication sign while also flipping 1/3 so its 3/1. Now you have to cross cancel and since the 3 in 96/3 can go into the 3 in 3/1 once, the 96/3 changes into 96/1 and the 3/1 changes into 1/1. Now you can multiply so 96 times 1 is 96 and 1 times 1 is 1 so you get 96/1 which is basically just 96 so your answer is that it will take 96 seconds to empty the bucket.

I hope this helps you :D

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prohojiy [21]

Answer:

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Step-by-step explanation:

Here's the required formula to find the missing side of triangle by pythagoras theorem :

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Substituting all the given values in the formula to find the third side of triangle :

\begin{gathered} \quad{\longrightarrow{\sf{{(a)}^{2} + {(b)}^{2} = {(c)}^{2}}}} \\  \\ \quad{\longrightarrow{\sf{{(20)}^{2} + {(21)}^{2} = {(c)}^{2}}}} \\  \\ \quad{\longrightarrow{\sf{(20 \times 20) + (21 \times 21) = {(c)}^{2}}}} \\  \\ \quad{\longrightarrow{\sf{(400) + (441) = {(c)}^{2}}}} \\  \\ \quad{\longrightarrow{\sf{400 + 441 = {(c)}^{2}}}}  \\  \\ \quad{\longrightarrow{\sf{841= {(c)}^{2}}}} \\  \\ \quad{\longrightarrow{\sf{c =  \sqrt{841}}}} \\  \\ \quad{\longrightarrow{\sf{\underline{\underline{\purple{c = 29 \: km}}}}}}\end{gathered}

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2 years ago
What exponential function is the best fit for the data in the table?
gogolik [260]
Answer: fourth option

\frac{1}{4} 4^{x-1}-4

Explanation:

1) the pair x = 3 f(x) = 0, leads you to probe this:

f(3) = 0 = A [4 ^ (3 - 1) ] + C = 0

=> A [4^2] = - C

A[16] = - C

if A = 1/4

16 / 4 = 4 => C = - 4

That leads you to the function f(x) = [1/4] 4 ^( x - 1) - 4

2) Now you verify the images for that function for all the x-values of the table:

x = 2 => f(2) + [1/4] 4 ^ (2 - 1) - 4 = [1/4] 4 - 4 = 4 / 4 - 4 = 1 - 4 = - 3 => check

x = 3 => f(3) = [1/4] 4^ (3 - 1) - 4 = [1/4] 4^2 - 4 = 16 / 4 - 4 = 4 - 4 = 0 => check

x = 4 -> f(4) = [1/4] 4^ (4-1) - 4 = [1/4] 4^(3) - 4 = (4^3) / 4 - 4 = 4^2 - 4 = 16 - 4 = 12 => check.

Therefore, you have proved that the answer is the fourth option.
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3 years ago
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Anvisha [2.4K]

Answer:Column one answers:

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7 0
3 years ago
HELP NEEDED, GIVING BRAINLIEST!
Nataly_w [17]

The correct answer is:

B. This is a dilation about (0, 0) with a scale factor of 4; A'(8, 4), B' (16, 4), C' (16, -12).

Step-by-step explanation:

Given

Dilation: D : (x,y) => (4x,4y)

And Vertices

A ( 2, 1 ), B ( 4, 1 ), C ( 4, -3 )

Applying dilation on all vertices

A ( 2, 1 ) => A'(4*2, 4*1) => A'(8,4)\\B ( 4, 1 ) = > B' (4*4 ,4*1) = > B'(16,4)\\C(4,-3) => C' (4*4 , 4*-3) => C'(16, -12)

To find the scale factor,

As we are multiplying each vertex coordinate by 4, the dilation factor is 4.

Moreover,

\frac{A'}{A} = \frac{(8,4)}{(2,1)} = (4,4)

Hence the scale factor is 4.

So,

The correct answer is:

B. This is a dilation about (0, 0) with a scale factor of 4; A'(8, 4), B' (16, 4), C' (16, -12).

Keywords: Dilation, Scale factor

Learn more about dilation at:

  • brainly.com/question/10435836
  • brainly.com/question/10541435

#LearnwithBrainly

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