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3 years ago

Please help me fill in the blanks :) marking most Brainly

Mathematics

1 answer:

Gala2k [10]3 years ago

6 0

Answer:

For the part that contains organic matter your answer is, 35 negative result

For the part that does not contain organic matter your answer is, 60 positive result

Step-by-step explanation:

If we pay attention to the part that contains organic matter the total amount 700 and 665 is positive, so subtract them 700-665 to get 35 negative result

For the part that does not contain organic matter the total amount is 300, and 240 of it is negative, so subtract 240 from 300 to get 60 positive result

Your Welcome, Hope This Helps, And Have an Awesome Day!!!

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The height (feet) of an object moving vertically is given by s= (-16t^2)+(208t)+(156), where t is in seconds.

OverLord2011 [107]

Answer:

The object's velocity at t = 7 is -16 ft/s

The maximum height is 832 ft and it occurs when $t=\frac{13}{2}$

Step-by-step explanation:

From the information given, the equation of motion of the object is

$s(t)= -16t^2+208t+156$

For any equation of motion s(t), the instantaneous velocity at time t is given by

$v(t)=\frac{ds}{dt}$

(a) To find the object's velocity at t = 7, you must:

$v(t)=\frac{d}{dt}(-16t^2+208t+156)\\\\v(t)=-\frac{d}{dt}\left(16t^2\right)+\frac{d}{dt}\left(208t\right)+\frac{d}{dt}\left(156\right)\\\\v(t)=-32t+208+0\\\\v(t)=-32t+208$

Next, we evaluate when t = 7

$v(7)=-32(7)+208=-224+208\\\\v(7)=-16$

The object's velocity at t = 7 is -16 ft/s

(b) To find the maximum of a function we always use the derivative of the function and we set it equal zero to find the critical points.

To find the maximum height and when it occurs, we set the velocity function equal to 0 and solve for t.

$-32t+208=0\\\\-32t+208-208=0-208\\\\-32t=-208\\\\\frac{-32t}{-32}=\frac{-208}{-32}\\\\t=\frac{13}{2}$

Next, we substitute this value into the equation of motion to find the maximum height

$s(\frac{13}{2})= -16(\frac{13}{2})^2+208(\frac{13}{2})+156\\\\s(\frac{13}{2})=-676+1352+156)=832$

The maximum height is 832 ft and it occurs when $t=\frac{13}{2}$

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4 years ago

Find the measure of each side of an equilateral triangle whose area is √3 cm STEP BY STEP

Dafna11 [192]

Answer:

s = 2 cm

Step-by-step explanation:

Given the following data;

Area of equilateral triangle = √3 cm

Mathematically, the area of an equilateral triangle is given by the formula;

A = √3 * s²/4

Where, s represents the sides of length.

Substituting into the formula, we have;

√3 = √3 * s²/4

Dividing both sides by √3, we have;

1 = s²/4

Cross-multiplying, we have;

4 = s²

Taking the square root of both sides, we have;

s = √4

s = 2 cm

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