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MakcuM [25]
2 years ago
11

The equation d=4 -1/15t represents your distance from home,d, for each minute you walk,t. If you graphed this equation, determin

e whether you are walking toward or away from home and explain

Mathematics
1 answer:
Readme [11.4K]2 years ago
3 0

we have

d=4 -\frac{1}{15}t

using a graph tool

see the attached figure

For t=0 d=4 -------> the y-intercept

that means that at the time t=0 the house was four units away.

For t=60 min  d=0 -------> x-intercept

that means he was already at home at the time t=60 minutes.

therefore

the graph of this equation represents the walk towards the house

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Suppose tanΘ = 3/5, and that Θ is in quadrant I. Find tan2Θ.
In-s [12.5K]

Answer:

15/8

Step-by-step explanation:

tan 2θ = 2 tan θ / (1 − tan² θ)

tan 2θ = 2 (3/5) / (1 − (3/5)²)

tan 2θ = (6/5) / (1 − 9/25)

tan 2θ = (6/5) / (16/25)

tan 2θ = (6/5) × (25/16)

tan 2θ = 15/8

3 0
3 years ago
A certain model car has a keypad with 5 numbers on the door. To open the door, 5 numbers must be entered in the correct
MrRissso [65]

Answer:  A. \dfrac{1}{120}

Step-by-step explanation:

Total digits on keypad = 5

According to permutation,

If repetition of digits is not allowed then the number of 5-digits passwords can be formed = 5!

= 5 x 4 x 3 x 2 x 1         [n!=n x (n-1) x (n-2)x ... x 1]

=120

The probability that someone guesses the correct code = \dfrac{\text{Number of correct codes}}{\text{Total possible codes}}

=\dfrac{1}{120}

Hence, the correct option is A.

8 0
3 years ago
Find the total surface area and volume, then multiply by 0.0004
Maksim231197 [3]

The Total surface area of the rectangular prism = 168 in.²

The Volume of the rectangular prism = 108 in.³

<h3>What is the Total Surface Area of a Rectangular Prism?</h3>

The total surface area of a rectangular prism is given as: SA = 2(wl + hl + hw), where:

w = width of the rectangular prism

h = height of the rectangular prism

l = length of the rectangular prism

<h3>What is the Volume of a Rectangular Prism?</h3>

The volume of a rectangular prism = l × w × h

Find the Total surface area of the rectangular prism:

Length (l) = 9 in.

Width (w) = 2 in.

Height (h) = 6 in.

Total surface area of the rectangular prism = 2(wl+hl+hw) = 2·(2·9+6·9+6·2) = 168 in.²

Find the volume of the rectangular prism:

Length (l) = 9 in.

Width (w) = 2 in.

Height (h) = 6 in.

Volume of the rectangular prism = l × w × h = 9 × 2 × 6

Volume of the rectangular prism = 108 in.³

Learn more about the rectangular prism on:

brainly.com/question/1015291

#SPJ1

7 0
1 year ago
I am making this question for emmatannerfns to chat with me
Arturiano [62]

Answer:

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Step-by-step explanation:

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