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2 years ago

What is the slope of the tangent line through (3,2) and (x,y) for x=-2 and y=x3

1 answer:

3 0

First you must derive the equation to find the slope:
y = x ^ 3
y '= 3x ^ 2
Then, for x = -2 we have the slope is:
y '(- 2) = 3 (-2) ^ 2 = 12
Then the equation of the line with slope equal to 12 and passing through point (3,2) is:
y = 12 (x-3) +2

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During a business trip, an individual stopped at two rest stops. In the parking lot of the first rest stop, they counted 20 cars

olganol [36]

Answer

given,

on first stop

number of car = 20 and number of trucks = 18

on second stop

number of car = 18 and number of trucks = 10

we need to calculate which rest stop has higher ratio of car to truck.

Rest Stop 1

ratio= r₁ = $\dfrac{cars}{trucks}$

r₁ = $\dfrac{20}{18}$

r₁ = $\dfrac{10}{9}$

Rest Stop 2

ratio= r₂ = $\dfrac{cars}{trucks}$

r₂ = $\dfrac{18}{10}$

r₂= $\dfrac{9}{5}$

hence, r₂ > r₁

rest stop 2 has more car to truck ratio than rest stop 1

3 0

2 years ago

What is the volume of a cylinder if ,

sergiy2304 [10]

38,016 cm³

<h3>Ⲋⲟⳑⳙⲧⳕⲟⲛ :</h3>

We are given that :

Height of cylinder = 21 cm

Radius of cylinder = 24 cm

Therefore, Volume :

➙ V = πr²h

➙ V = ( 22 / 7 ) × ( 24 )² × ( 21 )

➙ V = ( 22 / 7 ) × 576 × 21

➙ V = ( 22 × 576 × 21 ) / 7

➙ V = 266112 / 7

➙ V = 38016

‎ㅤ‎ㅤ ‎ㅤ‎ㅤ~Hence, the volume of given cylinder is 38,016 cm³.

<h3>⳨ⲟⲅⲙⳙⳑⲇ ⳙ⳽ⲉ∂ :</h3>

The volume of cylinder is it's density which tells us the amount by which it can be filled by any material or the the amount of material which can be immersed in it.

The Formula for volume of cylinder is given by :

‎ㅤ‎ㅤ‎ㅤ‎ㅤ‎ㅤ‎➙ πr²h

8 0

1 year ago

Read 2 more answers

Can Sombody help me real fast?

Stolb23 [73]

Answer:

45°

Step-by-step explanation:

Angles on a straight line add up to 180°.

135 + x = 180

x = 180 - 135

x = 45°

3 0

2 years ago

Which of the following is equivalent to 5t−2r=25

lidiya [134]

Answer:

Solving for t : t=5+2r/5

Solving for r : r=-25/2+5t/2

Step-by-step explanation: Move all of your terms that don't contain r to the right side and solve. Move all terms that don't contain t to the right side and solve.

Hope this helps you out! ☺ I just solved it and I don't have any choices to go off of and so I just solved it. Sorry if it's wrong. ☺

3 0

2 years ago

Give to examples of units that can be used on a graph

lbvjy [14]

Metric: 

Distance: Centimeters (cm), Meters (m), Kilometers (km)

Weight: Milligrams (mg), Grams (g), Kilograms (kg)

Volume: Milliliters (mL), Liters (L)

Customary: 

Distance: Inches (in), Feet (ft), Yards (yd), Miles (mi)

Weight: Ounces (oz), Pounds (lbs), Tons (T)

Volume: Cups (c), Pints (pt), Quarts (qt), Gallons (gal)

3 0

2 years ago