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3 years ago

A team of runners is needed to run a 1/4 -mile relay race. If each runner must run

Mathematics

2 answers:

Sveta_85 [38]3 years ago

8 0

Answer:

4 runners

Step-by-step explanation:

I divided 1/4 by 1/16 and got 4 as an answer.

Hope this helps :)

(Correct me if i am wrong)

shtirl [24]3 years ago

7 0

4 runners
Hope this helps! :)

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How do you 43-45. Please I’m struggling

SpyIntel [72]

Can you show the mentioned diagram?

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3 years ago

Math question

strojnjashka [21]

Answer:

The candle has a radius of 8 centimeters and 16 centimeters and uses an amount of approximately 1206.372 square centimeters.

Step-by-step explanation:

The volume ( $V$ ), in cubic centimeters, and surface area ( $A_{s}$ ), in square centimeters, formulas for the candle are described below:

$V = \pi\cdot r^{2}\cdot h$ (1)

$A_{s} = 2\pi\cdot r^{2} + 2\pi\cdot r \cdot h$ (2)

Where:

$r$ - Radius, in centimeters.

$h$ - Height, in centimeters.

By (1) we have an expression of the height in terms of the volume and the radius of the candle:

$h = \frac{V}{\pi\cdot r^{2}}$

By substitution in (2) we get the following formula:

$A_{s} = 2\pi \cdot r^{2} + 2\pi\cdot r\cdot \left(\frac{V}{\pi\cdot r^{2}} \right)$

$A_{s} = 2\pi \cdot r^{2} +\frac{2\cdot V}{r}$

Then, we derive the formulas for the First and Second Derivative Tests:

First Derivative Test

$4\pi\cdot r -\frac{2\cdot V}{r^{2}} = 0$

$4\pi\cdot r^{3} - 2\cdot V = 0$

$2\pi\cdot r^{3} = V$

$r = \sqrt[3]{\frac{V}{2\pi} }$

There is just one result, since volume is a positive variable.

Second Derivative Test

$A_{s}'' = 4\pi + \frac{4\cdot V}{r^{3}}$

If $\left(r = \sqrt[3]{\frac{V}{2\pi}}\right)$ :

$A_{s} = 4\pi + \frac{4\cdot V}{\frac{V}{2\pi} }$

$A_{s} = 12\pi$ (which means that the critical value leads to a minimum)

If we know that $V = 3217\,cm^{3}$ , then the dimensions for the minimum amount of plastic are:

$r = \sqrt[3]{\frac{V}{2\pi} }$

$r = \sqrt[3]{\frac{3217\,cm^{3}}{2\pi}}$

$r = 8\,cm$

$h = \frac{V}{\pi\cdot r^{2}}$

$h = \frac{3217\,cm^{3}}{\pi\cdot (8\,cm)^{2}}$

$h = 16\,cm$

And the amount of plastic needed to cover the outside of the candle for packaging is:

$A_{s} = 2\pi\cdot r^{2} + 2\pi\cdot r \cdot h$

$A_{s} = 2\pi\cdot (8\,cm)^{2} + 2\pi\cdot (8\,cm)\cdot (16\,cm)$

$A_{s} \approx 1206.372\,cm^{2}$

The candle has a radius of 8 centimeters and 16 centimeters and uses an amount of approximately 1206.372 square centimeters.

3 0

2 years ago

Helppppppppppppppppppppppppppppppppppppppppppp

jeka57 [31]

Answer:

hope you like my answer its 2/7

4 0

2 years ago

NEED HELP! GIVING OUT BRAINLIEST! (Need long answer)

otez555 [7]

The constant of proportionality is 1.25 and its meaning is the soup price per can
Step-by-step explanation:
The diagram below shows a proportional relationship between the number of cans of soup and the price.
1st:
$3.75 for 3 cans
per can
2nd:
$6.25 for 5 cans
per can
If x is the number of cans and y is the price of x cans, then

This means the constant of proportionality is 1.25 and its meaning is the soup price per can

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2 years ago

A) Write the following in standard form and find A, B and C

alex41 [277]

Answer:

a) 2x -y = -5; A=2, B=-1, C=-5
b) y = 2x +5

Step-by-step explanation:

a) Standard Form is ...

Ax + By = C

where A > 0 and A, B, C are mutually prime.

To get that form, we can add 2x-5 to both sides of the equation:

(2x -5) -2x = (2x -5) -y +5

-5 = 2x -y

Then we can swap sides of the equal sign:

2x -y = -5 . . . . . . standard form

Matching this to the generic standard form equation, we find ...

A = 2

B = -1

C = -5

b) We can solve for y by adding 2x+y to both sides of the equation:

(2x +y) -2x = (2x +y) -y +5

y = 2x +5 . . . . . . slope-intercept form

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2 years ago