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oksano4ka [1.4K]

2 years ago

14

Tony is 1 2 of a mile ahead of Laura on a jogging path. If Tony is running at 5 miles per hour, and Laura is running at 7 miles

per hour, how long will it take Laura to catch up with Tony?

1 answer:

tamaranim1 [39]2 years ago

5 0

Laura will catch up after 15 minutes, i hope this helps.

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Let Ebe the set of all even positive integers in the universe Zof integers, and XE : Z R be the characteristic function of E.

AnnZ [28]

Answer:

$\mathbf{X_E (2) = 1}$

$\mathbf{X_E (-2) = 0 }$

$\mathbf{\{ x \in Z: X_E(x) = 1\} = E}$

Step-by-step explanation:

Let E be the set of all even positive integers in the universe Z of integers,

i.e

E = {2,4,6,8,10 ....∞}

$X_E : Z \to R$ be the characteristic function of E.

∴

$X_E(x) = \left \{ {{1 \ if \ x \ \ is \ an \ element \ of \ E} \atop {0 \ if \ x \ \ is \ not \ an \ element \ of \ E}} \right.$

For XE(2)

$\mathbf{X_E (2) = 1}$ since x is an element of E (i.e the set of all even numbers)

For XE(-2)

$\mathbf{X_E (-2) = 0 }$ since - 2 is less than 0 , and -2 is not an element of E

For { x ∈ Z: XE(x) = 1}

This can be read as:

x which is and element of Z such that X is also an element of x which is equal to 1.

∴

$\{ x \in Z: X_E(x) = 1\} = \{ x \in Z | x \in E\} \\ \\ \mathbf{\{ x \in Z: X_E(x) = 1\} = E}$

E = {2,4,6,8,10 ....∞}

5 0

2 years ago

IL HOW IT LOOKS BUR YOU CAN READ IT STILL , HELP FOR BRAINLEST AND BONUS POINTS

Anvisha [2.4K]

Answer:

A

Step-by-step explanation:

I think its awnser A 23.4

6 0

2 years ago

TOAD is a quadrilateral with vertices (9, 10), (18, 10), (14, 5), and (5, 5), respectively. The diagonals intersect at Point S.

klasskru [66]

A. parallelogram
B. I believe it'd be around (11.2,7.5)
C. √(10-5)^2+(9-4)^2 = 21, so yes they bisect

5 0

2 years ago

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14.51 less than the product of 26 and x

Mekhanik [1.2K]

<em>the</em><em> </em><em>pro</em><em>duct</em><em> </em><em>of</em><em> </em><em>2</em><em>6</em><em> </em><em>and</em><em> </em><em>x</em><em> </em><em>is</em><em> </em><em>wri</em><em>tten</em><em> </em><em>as</em>

<em>2</em><em>6</em><em> </em><em>times</em><em> </em><em>x</em><em> </em><em>=</em><em> </em><em>2</em><em>6</em><em>x</em>

<em> $= 14.51 < 26x$ </em>

<em> $= 1451 \times {10}^{ - 2} < 26x$ </em>

6 0

2 years ago

Please answer this fast in two minutes

Elden [556K]

Answer:

<h2>v=(13,-3)</h2>

solution,

$- 2 = \frac{x - 17}{2} \: \\ - 2 \times 2 = x - 17 \\ - 4 = x - 17 \\ - x = - 17 + 4 \\ - x = - 13 \\ x = 13 \\ \\ 7 = \frac{y + 17}{2} \\ 14 = y + 17 \\ - y = 17 - 14 \\ - y = 3 \\ y = - 3$

Therefore,

V=(13,-3)

Hope this helps...

Good luck on your assignment..

4 0

2 years ago

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