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2 years ago

Write equations for the horizontal and vertical lines passing through the point (6,4).

Mathematics

1 answer:

liberstina [14]2 years ago

4 0

Check the picture below.

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of the 400 vehicles that passed the intersection, 98 are buses, what percent of the vehicles that passed the intersection are bu

frutty [35]

It should be 24.5%. If you divide 98 by 400 it's .245. Then multiply it by 100, you get 24.5%.

5 0

2 years ago

An object falls freely in a straight line and experiences air resistance proportional to its? speed; this means its acceleration

KiRa [710]

Answer:

t = 1.068 s

Step-by-step explanation:

given,

a(t) =- k v(t)

speed of the object decreases from 800 ft/s to 700 ft/s

distance = 1400 ft

time for deceleration = ?

a(t) =- k v(t)

$\dfrac{dv}{dt}= - kv$

$\dfrac{dv}{v}= - kdt$

integrating both side

$\int_{800}^{700}\dfrac{dv}{v}= - k\int dt$

$ln(\dfrac{7}{8})=-kt$

$t = -\dfrac{1}{k}ln(\dfrac{7}{8})$ ..........(1)

since,

$v = v_1e^{-kt}$

$\dfrac{ds}{dt} = 800e^{-kt}$

$\int ds= 800\int_0^t e^{-kt}dt$

$1400= -\dfrac{800}{k}[e^{-kt}-e^0]$

from equation 1

$k= -\dfrac{8}{14}[\dfrac{7}{8}-1]$

$k= \dfrac{1}{8}$

putting value of k in equation (1)

$t = -8ln(\dfrac{7}{8})$

t = 1.068 s

5 0

3 years ago

What is (2/3)m+2=(1/6)m-3

BlackZzzverrR [31]

Answer:

M=-10

Step-by-step explanation:

Step 1, subtract 1/6m from both sides leaving the equation: 1/2m+2=-3

Step 2, subtract 2 from both sides leaving the equation: 1/2m=-5

Step 3, Multiply both sides by 2 leaving the equation: m=-10

5 0

3 years ago

Plz, Help me with this question.

UNO [17]

Answer:

first option

Step-by-step explanation:

Given

area = 15x - 9 ← factor out 3 from each term

= 3(5x - 3)

Thus the dimensions are 3 by (5x - 3)

6 0

2 years ago

Read 2 more answers

Help meeeee!!!

natulia [17]

Answer:

Taylor is closest to the table

Step-by-step explanation:

I divided 64, 4, 7, 0.615, and 001 01 and got 1.876 so i figured out that that is half of 64%. So that gave me an idea that Taylor was closest to the table.

4 0

2 years ago