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2 years ago

Is 6-6 and 1-6 equal

Mathematics

1 answer:

uranmaximum [27]2 years ago

7 0

Answer:

Step-by-step explanation:

6-6=0

1-6=-5

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The radius of the base of a cylinder is increasing at a rate of 7 millimeters per hour. The height of the cylinder is fixed at 1

Ilya [14]

Answer:

The rate of change of the volume of the cylinder at that instant = $791.28\ mm^3/hr$

Step-by-step explanation:

Given:

Rate of increase of base of radius of base of cylinder = 7 mm/hr

Height of cylinder = 1.5 mm

Radius at a certain instant = 12 mm

To find rate of change of volume of cylinder at that instant.

Solution:

Let $r$ represent radius of base of cylinder at any instant.

Rate of increase of base of radius of base of cylinder can be given as:

$\frac{dr}{dt}=7\ mm/hr$

Volume of cylinder is given by:

$V=\pi\ r^2h$

Finding derivative of the Volume with respect to time.

$\frac{dV}{dt}=\pi\ h\ 2r\frac{dr}{dt}$

Plugging in the values given:

$\frac{dV}{dt}=\pi\ (1.5)\ 2(12)(7)$

$\frac{dV}{dt}=252\pi$

Using $\pi=3.14$

$\frac{dV}{dt}=252(3.14)$

$\frac{dV}{dt}=791.28\ mm^3/hr$ (Answer)

Thus rate of change of the volume of the cylinder at that instant = $791.28\ mm^3/hr$

6 0

2 years ago

15 points to whoever answers correct

Pepsi [2]

Answer

C. 4 + 6

D. 3.15151515.. + 4.6

E. √64 × √25

Explanation

A rational number is a number that can be expressed as a quotient or a fraction. That is it can be written as a/b.

π×6 = 6π ⇒ can not be written as a rational number.

√3 + √5 ⇒ the sum of two irrational numbers can not be rational.

4 + 6 = 10. Ten is a rational number. it can be written as 10/1

3.15151515.. + 4.6 = 104/33 + 23/5

= 1279/165

√64 × √25 = 8×5=40 This can be written as 40/1

5 0

3 years ago

Evaluate the arise tic series described: 12. 0,= 300, n = 25 (please help)

Tcecarenko [31]

Go back to soccer tuve

5 0

2 years ago

Kathy is standing directly between two tall buildings which are 100 feet apart. Her eye level is 5 feet above the ground. Kathy

Zinaida [17]

Angle of taller building Tan 45° = opposite (height of the building)/ adjacent 50 feet (distance between Kathy and the taller building

Tan 45° = 1

Height of taller building from eye level = multiplying adjacent 50 feet * Angle (Tan 45°) 1 = 50 feet opposite

Angle of smaller building Tan 38° = 0.781

Height of smaller building from eye level = Angle * adjacent 50 feet = 39.06 feet

Difference of eye level from ground is 5 feet

Taller building height is 50 + 5

Total height of taller building is 55 feet.

Smaller building height is 39.06 + 5

Total height of smaller building is 44.06 feet

4 0

3 years ago

PLEASEE HELPP!!!!

Alex73 [517]

y = - $\frac{1}{4}$ x + $\frac{15}{2}$

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

y = 4x + 5 is in this form with slope m - 4

Given the slope of a line m, then the slope ( $m_{2}$ ) of a line perpendicular to it is

$m_{2}$ = - (1 / m ) = - $\frac{1}{4}$

y = - $\frac{1}{4}$ x + c is the partial equation of the perpendicular line

to find c, substitute ( 2, 7 ) into the partial equation

7 = - $\frac{1}{2}$ + c ⇒ c = $\frac{15}{2}$

y = - $\frac{1}{4}$ x + $\frac{15}{2}$ ← equation of perp. line

5 0

3 years ago