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4 years ago

Kyle shoots an arrow during an archery lesson at camp. The height of the arrow can be modeled by the

Mathematics

1 answer:

qwelly [4]4 years ago

8 0

Answer:

The solutions are t = 0 and t = 1. Since starting time is 0, the arrow is in the air for 1 second.

Step-by-step explanation:

Set the equation equal to zero.

−2t(8t − 8) = 0

Apply the Zero Product Property.

−2t = 0 or 8t − 8 = 0

Solve each equation for t.

t = 0 or 8t = 8

t = 1

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Answer:

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Step-by-step explanation:

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3 years ago

A large van is being used for a picnic. There will be 8 people riding in the van, and there are 8 seats in the van (one of which

Julli [10]

Answer:

The people can seat themselves in 20160 different ways.

Step-by-step explanation:

Arrangements of n elements:

The number of arrangements of n elements is given by the following formula:

$A_{n} = n!$

In this question:

For the first seat, that is, the driver seat, 4 possible people can sit.

For the remaining 7 seats, the number of ways in which the people can sit is an arrangement of 7 elements. So

$T = 4*7! = 4*5040 = 20160$

The people can seat themselves in 20160 different ways.

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3 years ago

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garri49 [273]

Answer:

t = 130s

Step-by-step explanation:

$s = 3.9 * 10^{7} km$

$v = 3 * 10^{5} km/s$

$t = ?$

$t = \frac{s}{v}$

$t = \frac{3.9 * 10^{7} km}{3 * 10^{5}km/s }$

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If the speed signal sent was actually less, meaning that it would take more time to signal arrives from Earth to Mars. The lower the speed, the higher the time.

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3 years ago

Solve the following system using the Substitution method:

Liono4ka [1.6K]

Answer:

(x, y) = (-2, 2)

Step-by-step explanation:

We are given the following two equations which we are to solve using the substitution method:

$x - y = -4$ --- (1)

$x - 2y = -6$ --- (2)

From equation (1):

$x = y-4$

Substituting this value of x in (2) to get:

$x = [tex]x - 2y = -6\\\\(y-4)-2y=-6\\\\-y=-6+4\\\\-y=-2$ [/tex]

y = 2

Substituting the value of y in (1) to get x:

$x - y = -4$

$x - 2 = -4$

$x = -4 + 2$

x = -2

Therefore, (x, y) = (-2, 2).

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3 years ago

Describe and correct the error in solving the equation -1.5+k=8.2 k=8.2+(-1.5) k=6.7

Kazeer [188]

-1.5 + k is the same thing as k - 1.5

and if we want to get k all by itself, we need to add 1.5 on both sides, not add -1.5

so

-1.5 + k = 8.2
-1.5 + 1.5 + k = 8.2 + 1.5
k = 8.2 + 1.5
k = 9.7

6 0

4 years ago