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julia-pushkina [17]

3 years ago

5

What is the final velocity of a runner who is accelerating at 2 feet per second squared for 3 seconds with an initial velocity o

f 4 feet per second

1 answer:

Tatiana [17]3 years ago

3 0

<span>a= 2 ft/s^2 t=3 s vi=4 ft/s vf=? One can use the kinematic equation: vf=vi+at vf=(4 ft/s)+(2 ft/s^2)(3 s)= (4 ft/s)+(6 ft/s)=10 ft/s</span>

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Compare 5/6 and 1/3 using the benchmark fraction 1/2

fenix001 [56]

Answer:

Step-by-step explanation:

Denominators: 6 is 2 times more than 3

Make them common fractions

5/6 and 2/6

They are 3/6 apart, or 1/2 apart

8 0

3 years ago

Q10 A student wants to raise £100 for charity.

ElenaW [278]

Answer:

He must charge minimum £0.84 for one hot dog.

Step-by-step explanation:

Ingredients cost for hot dogs at the supermarket,

Price of dog sausages tin of 8 = 50p ≈ £0.5

Price of dog bun packs of 6 = 90p ≈ £0.90

Number of tins required for 150 hot dogs = $\frac{150}{8}$ = 6.25

So student will purchase 7 tins.

Cost of 7 tins = 7 × 0.5

= £3.5

Number of dog buns packets required = $\frac{150}{6}$ = 25

Cost of 25 packs = 25 × 0.9

= £22.5

Total cost of the material used for 150 buns = 22.5 + 3.5

= £26.0

Let the selling price of each hot dog = £x

Then selling price of 150 hot dogs = £150x

Students wants the profit = £100

So, Selling price - Cost price = profit

150x - 26 = 100

150x = 126

x = $\frac{126}{150}$

x = £0.84

Therefore, he must charge minimum £0.84 for one hot dog.

8 0

3 years ago

A graph is a straight line through the point (0,5). Can the graph represent a proportional relationship?

cupoosta [38]

Answer:

yes because every time x changes y changes the same amount

Step-by-step explanation:

5 0

3 years ago

Help help I don’t really get this???

insens350 [35]

Answer:

Question 4: $y=\displaystyle -\frac{4}{5}x$

Question 5: $y=-5x-3$

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where <em>m</em> is the slope of the line and <em>b</em> is the y-intercept (the y-coordinate of the point where the line crosses the y-axis).

<u>Question 4</u>

<u>1) Determine the slope (</u><u><em>m</em></u><u>)</u>

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$ where two points that pass through the line are $(x_1,y_1)$ and $(x_2,y_2)$

In the graph, two easy-to-identify points on the line are (-5,4) and (5,-4). Plug these into the equation:

$\displaystyle m=\frac{-4-4}{5-(-5)}\\\\\displaystyle m=\frac{-4-4}{5+5}\\\\\displaystyle m=\frac{-8}{10}\\\\\displaystyle m=-\frac{4}{5}$

Therefore, the slope of the line is $\displaystyle -\frac{4}{5}$ . Plug this into $y=mx+b$ as the slope (<em>m</em>):

$y=\displaystyle -\frac{4}{5}x+b$

<u>2) Determine the y-intercept (</u><u><em>b</em></u><u>)</u>

On the graph, we can see that the line crosses the y-axis when y is 0. Therefore, the y-intercept (<em>b</em>) is 0. Plug this into $y=\displaystyle -\frac{4}{5}x+b$ :

$y=\displaystyle -\frac{4}{5}x+0\\\\y=\displaystyle -\frac{4}{5}x$

<u>Question 5</u>

<u>1) Determine the slope (</u><u><em>m</em></u><u>)</u>

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Two easy-to-identify points are (-1,2) and (0,-3). Plug these into the equation:

$\displaystyle m=\frac{-3-2}{0-(-1)}\\\\\displaystyle m=\frac{-3-2}{0+1}\\\\\displaystyle m=\frac{-5}{1}\\\\m=-5$

Therefore, the slope is -5. Plug this into $y=mx+b$ :

$y=-5x+b$

<u>2) Determine the y-intercept (</u><u><em>b</em></u><u>)</u>

On the graph, we can see that the line crosses the y-axis at the point (0,-3). The y-coordinate of this point is -3. Therefore, the y-intercept (<em>b</em>) is -3. Plug this into $y=-5x+b$ :

$y=-5x+(-3)\\y=-5x-3$

I hope this helps!

8 0

2 years ago

Hello<br>mere pyaare bhaiyo or bheno

goldfiish [28.3K]

Cz I secretly enter this site

Non of my family knows

Cz they are over protective lol

Only a cousin know

That's why l can't pay to comment

It's sad life bro

5 0

2 years ago