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3 years ago

Find the volume If the rectangular prism of this 3m,11m,3m and what is the answer

Mathematics

1 answer:

sveta [45]3 years ago

4 0

Answer:

99 m³

Step-by-step explanation:

The volume (V) of a rectangular prism is calculated using the formula

V = lbh

where l is the length, b the breadth and h the height, hence

V = 3 × 11 × 3 = 99 m³

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The coffee shop has 5 regular customers daily. On Saturday they have 6 times as many non-regular customers than on any given wee

vfiekz [6]

Answer:

Step-by-step explanation:

No, because there is no mutiplication sign, and it suppose to be 6x times 5.

3 0

2 years ago

Find the volume of the cone

mihalych1998 [28]

Answer:

Step-by-step explanation:

Formule for volume of cone:

V=πr2h

(Disregard the pi, Multiply the radius and height)

9 × 9 × 12

81 × 12

972

972π sq. units

3 0

3 years ago

The number of board feet in a 16 foot long tree is approximated by the model F(d) = 0.77d^2 -- 1.32d -- 9.31 where F is the numb

Lubov Fominskaja [6]

we are given

$F(d)=0.77d^2-1.32d-9.31$

where

F is the number of board feet

d is the diameter (in inches) of the log

Since, we have to minimize F

so, firstly we will find it's derivative

$F'(d)=0.77\times 2d-1.32\times 1-0$

$F'(d)=1.54d-1.32$

now, we can set it to 0

and then we can solve for d

$F'(d)=1.54d-1.32=0$

$1.54d-1.32=0$

so, we get diameter as

$d=\frac{6}{7}inch$ ..............Answer

6 0

3 years ago

A model for tumor growth is given by the Gompertz equation dV dt = a (In b-, In V) V where a >0 and b >0 are constants and

Xelga [282]

Answer:

$V(t) = b^{(1-e^{-at})}$

Step-by-step explanation:

We are given the following information in the question:

$\displaystyle\frac{dV}{dt} = a (In b - In V) V$

where a > 0 and b > 0.

$\displaystyle\frac{dV}{dt} = a (In b-In V) V\\\\\displaystyle\frac{dV}{dt} = -aV(ln\frac{V}{b})\\\\\frac{dV}{V(ln\frac{V}{b})} = (-a)dt\\\\\text{Put } ln\frac{V}{b} = z\\\\\text{Integrating both sides}\\\\\int \frac{dV}{V(ln\frac{V}{b})} = \int (-a)dt\\\\\text{We get}\\\\\int \frac{dz}{z} = \int (-a)dt\\\\\\\text{where C is the constant of integration}$

$V(0) = 1~ mm^3\\V(t) = b.e^{e^{-at+C}}\\\text{Putting t =0, V(0) = 1}\\\\V(0) = 1 = b.e^{e^{C}}\\\\V(t) = b^{(1-e^{-at})}$

where v(t) is the required tumor volume as a function of time that has an initial tumor volume of V(0) = 1 cubic mm.

5 0

3 years ago

How to find the long side of a right triangle that has two same short side?

Nataliya [291]

To find the hypotenuse of a right triangle, you must use a^2 + b^2 = c^2

* keep in mind the hypotenuse MUST be larger than the legs.

The Pythagorean Theorem comes from making 2 squares from the lengths of each leg (that is why it is a^2 and b^2). The hypotenuse must be equal to the area of the two squares created.

8 0

2 years ago