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2 years ago

A total of 378 vacationers are planning to take an extended

Mathematics

1 answer:

8090 [49]2 years ago

6 0

378 total
21 x 13 = 273
378 - 273 = 105 people left
105/ 21 = 5 more wagons

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omeli [17]

“42.3” I wish I got easy questions like you do

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3 years ago

Write an equation for the nth term of the geometric sequence 2, 8, 32, 128,

AveGali [126]

2^(1+2n)

2^(1+0) = 2
2^(1+2) = 2^3 = 8
2^(1+4) = 2^5 = 32

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3 years ago

Nigel and Mia are searching for a treasure chest under water. The straight line distance between them is 100 meters.

Mariulka [41]

Answer:

I'm pretty sure its B.

Step-by-step explanation:

lame couldn't just answer smh

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3 years ago

Read 2 more answers

Multiply (5 × 104)(7 × 103), express in scientific notation.

salantis [7]

C) 35*107

7*5=35

103+4=107

5 0

3 years ago

Read 2 more answers

Sean tossed a coin off a bridge into the stream below. The path of the coin can be represented by the equation 2 h tt = − 16t^2+

tekilochka [14]

Answer:

It will take 5.61 seconds for the coin to reach the stream.

Step-by-step explanation:

The height of the coin, after t seconds, is given by the following equation:

$h(t) = -16t^{2} + 72t + 100$

How long will it take the coin to reach the stream?

The stream is the ground level.

So the coin reaches the stream when h(t) = 0.

$h(t) = -16t^{2} + 72t + 100$

$-16t^{2} + 72t + 100 = 0$

Multiplying by (-1)

$16t^{2} - 72t - 100 = 0$

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this question:

$16t^{2} - 72t - 100 = 0$

$a = 16, b = -72, c = -100$

$\bigtriangleup = (-72)^{2} - 4*16*(-100) = 11584$

$t_{1} = \frac{-(-72) + \sqrt{11584}}{2*16} = 5.61$

$t_{2} = \frac{-(-72) - \sqrt{11584}}{2*16} = -1.11$

Time is a positive measure, so we take the positive value.

It will take 5.61 seconds for the coin to reach the stream.

3 0

3 years ago