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2 years ago

What property is this? (3x+2)+16=3x+(2+16)

Mathematics

1 answer:

Jlenok [28]2 years ago

5 0

Answer:

It is Associative property :))

Step-by-step explanation:

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Evaluate the following expression. Round to the nearest hundredth when necessary. 6³ - 18

SSSSS [86.1K]

Answer:

198

Step-by-step explanation:

Because 6 to the power of three is 6 x 6 x 6 = 216 - 18 = 198

8 0

3 years ago

A spherical balloon is being inflated at a rate of 3 cubic inches per second. Determine the change in the rate of the radius.How

Novay_Z [31]

Answer:

The rate rate of change of radius is $\frac{1}{48\pi}$ inches per second when the diameter is 12 inches.

The radius is changing more rapidly when the diameter is 12 inches.

Step-by-step explanation:

Consider the provided information.

A spherical balloon is being inflated at a rate of 3 cubic inches per second.

The volume of sphere is $V=\frac{4}{3}\pi r^3$

Differentiate the above formula with respect to time.

$\frac{dV}{dt}=4\pi r^2\frac{dr}{dt}$

Substitute the respective values in the above formula,

$3=4\pi 6^2\frac{dr}{dt}$

$\frac{1}{48\pi}=\frac{dr}{dt}$

The rate rate of change of radius is $\frac{1}{48\pi}$ inches per second when the diameter is 12 inches.

When d=16

$3=4\pi 8^2\frac{dr}{dt}$

$\frac{3}{256\pi}=\frac{dr}{dt}$

Thus, the radius is changing more rapidly when the diameter is 12 inches.

5 0

3 years ago

Definition of Variable and Constant with examples! Spam free answers required!

ra1l [238]

Answer:

$\large\boxed{\boxed{\boxed{\mathfrak{variable}}}}$

Variable is a symbol that represents a quantity in a mathematical expression, as used in many sciences. Variable (research), a logical set of attributes. Variable star, a type of astronomical star.

$\large\boxed{\boxed{\boxed{\mathfrak{constant}}}}$

A constant, sometimes also called a "mathematical constant," is any well-defined real number which is significantly interesting in some way. A function, equation, etc., is said to "be constant" (or be a constant function) if it always assumes the same value independent of how its parameters are varied.

6 0

3 years ago

Evaluate ∫ e3x cosh 2x dx A.1/ e5x+1/ex+C 10 2 B. 1/ e3x + 1/ x + C 42 C. 1/ e5x + 1/ 10 5 x + C D. 1/ e5x + 1/ ex + C 22

Irina18 [472]

Sh(2x) = (e^2x + e^-2x)/2

Thus the integral becomes 

Int[e^3x*(e^2x + e^-2x)/2] = Int[(e^5x + e^x)/2] 

= e^5x/10 + e^x/2 + C
=(1/10)(e^5x) + (1/2)(e^x) + C

3 0

3 years ago

4. A bag contains five red marbles, two orange marbles, one yellow marble, and two green marbles. Two marbles are drawn from the

Vitek1552 [10]

Answer:

C. 0.08889

Step-by-step explanation:

Total number of marbles:

5 + 2 + 1 + 2 = 10

There are two possibilities

Orange then green or green the orange

The probabilities are:

P(o&g) = 2/10*2/9 = 2/45
P(g&o) =2/10*2/9 = 2/45

Required probability is:

P = 2/45*2 = 4/45 = 0.08889

Correct choice is C

4 0

2 years ago