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2 years ago

Need help. Have to finish this today!!!!

Mathematics

1 answer:

attashe74 [19]2 years ago

4 0

Answer:

Step-by-step explanation:

1)a ) Let the constant proportionality =k

Direct proportion.So, y = kx

Plugin y = 6 and x =2 and find k

6 = k*2

6/2 = k

k = 3

Constant proportionality = 3

b) y = 3x

When x = 7 ; y = 3*7 = 21

y = 21

c)When x = 9,

y = 3*9

y = 27

d) When y = 9,

9 = 3*x

9/3 = x

x = 3

e)when y = 30

30 = 3*x

30/3 =x

x = 10

3) y is inversely proportion to x³

$y =k\dfrac{1}{x^{3}}\\\\3 =k *\dfrac{1}{2^{3}}\\\\3=k*\dfrac{1}{8}\\\\3*8=k\\\\24 = k$

b) when x = 4

$y=24*\dfrac{1}{4*4*4}\\\\y=\dfrac{3}{8}$

c) When x = 6

$y = 24*\dfrac{1}{6*6*6}\\\\y=\dfrac{1}{9}$

d) When y = 24

$24= 24*\dfrac{1}{x^{3}}\\\\x^{3}*24=24\\\\x^{3}=\dfrac{24}{24}\\\\x^{3}=1\\\\x = 1$

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Solve by the elimination method. Show your work <br> 2x – 5y = 1<br> 3x – 4y = -2

svlad2 [7]

Hello,

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3 years ago

When running a 100 meter race Bill reaches his maximum speed when he is 45 meters from the starting line and 5 seconds have elap

Mkey [24]

Bill's speed is constant after 5 seconds and 45 meters into the race.

Correct responses:

a. Bill's maximum speed is 8 m/s

b. 24 meters

c. 57 meters

<h3>Methods used to calculate speed and distance traveled</h3>

Given parameters are;

The distance of the race = 100 meter

Distance at which Bill reaches maximum speed = 45 meters

Speed Bill maintains after 5 seconds = The maximum speed

Time at which Bill is 85 meters from the starting line = 10 seconds after start

a. Required;

Bill's maximum speed in meters.

Solution:

Distance Bill runs at maximum speed, d = 85 m - 45 m = 40 m

Time at which Bill runs the 40 m at maximum speed, <em>t</em> = 10 s - 5 s = 5 s

$Speed = \mathbf{\dfrac{Distance}{Time}}$

Therefore;

$Bill's \ maximum \ speed = \dfrac{40 \ m}{5 \ s} = \underline{8 \ m/s}$

b. i. Required:

The distance Bill will run for 3 seconds at the maximum speed;

Solution:

Distance,<em> s</em> = Speed, <em>v</em> × Time, <em>t</em>

<em />

The distance traveled at maximum speed in 3 seconds is therefore;

Distance = 8 m/s × 3 s = 24 m

The distance Bill travels in 3 seconds at the maximum speed is 24 meters.

ii) The distance Bill travels at 8 seconds after start, is given as follows;

Distance traveled in the first 5 seconds = 45 meters

Distance traveled in the next 3 seconds = 24 meters

Therefore;

Bill's distance from the starting line 8 seconds after start is 45 meters + 25 meters = <u>69 meters</u>

c. Bill's distance 6.5 seconds after the start of the race is given as follows;

Distance traveled in the first 5 seconds = 45 meters

Distance traveled in the next 1.5 seconds = 1.5 s × 8 m/s = 12 meters

Bill's distance from the starting line 6.5 seconds after start of the race = 45 meters + 12 meters = <u>57 meters</u>

Learn more about distance, speed, time, relationship here:

https://brainly.in/question/49075584

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2 years ago

What type of angle is 2 50degrees and 80degrees

Eddi Din [679]

<h3>250° is a reflex angle.</h3>

<h3>80° is an acute angle.</h3>

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3 years ago

7. Use the properties of operations to simplify this algebraic expression. Rewrite the expression by following the directions in

Svetach [21]

Answer:

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Step-by-step explanation:

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Step 1: 5(x + –4) + 3x + –9x + 7

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Step 3: 5x + 3x + –9x + -20 + 7

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3 years ago

To prepare for a bicycling event, you warm up each day at a moderate pace then you ride hard for a number of miles. one day you

vovangra [49]

Answer:

The total distance covered is 15.6 miles.

Step-by-step explanation:

One day you warm up for 15 minutes at a pace of 0.1 miles per 25 seconds.

The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them. If the relationship between the magnitudes is direct, like in this case, the direct rule of three can be applied as follow:

a ⇒ b

c ⇒ x

Then $x=\frac{c*b}{a}$

First, the simple rule of three can be applied in the following way: if 1 minute equals 60 seconds, 15 minutes equals how many seconds?

$seconds=\frac{15 minutes*60 seconds}{1 minute}$

seconds= 900

So now you can apply the following rule of three: if in 25 seconds you travel 0.1 miles, in 900 seconds how many miles do you travel?

$distance=\frac{900 seconds*0.1 miles }{25 seconds}$

distance= 3.6 miles

If you then ride hard for 12 miles, the total distance traveled will be the sum of both:

3.6 miles + 12 miles = 15.6 miles

<u><em>The total distance covered is 15.6 miles.</em></u>

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3 years ago