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3 years ago

Find expressions for the possible dimensions of the rectangular prism.

Mathematics

1 answer:

saul85 [17]3 years ago

8 0

Answer:

The possible dimensions are y, 5y + 2 and y + 7.

Step-by-step explanation:

V = 5y^3 + 37y^2 + 14 y

y is common to all 3 terms so

V = y(5y^2 + 37y + 14)

V = y (5y + 2)(y + 7)

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The length of the rectangle below is (2x-3) and the width is (x+7). Find the area of the rectangle in terms of x.

krek1111 [17]

Answer:

rgfb

Step-by-step explanation:

2 because if you divide

5 0

3 years ago

A rectangle initially has dimensions 3 cm by 6 cm. All sides begin increasing in length at a rate of 3 cm divided by s 3 cm/s. A

Setler [38]

Answer:

405 cm²/s

Step-by-step explanation:

The dimensions are increasing at the rate of 3 cm/s, so the dimensions in cm can be described as a function of time by ...

3 + 3t

and

6 + 3t

Then the area is the product of these, or ...

A = (3 +3t)(6 +3t)

A = 9t² +27t +18

and the rate of change of area is given by its derivative with respect to t:

A' = 18t +27

When t=21, the value of this is ...

A'(21) = 18·21 +27 = 405 . . . . cm²/s

3 0

3 years ago

The population of a species is modeled by the equation p(t)=-t^4+72t^2+225, where t is the number of years. find the approximate

Shtirlitz [24]

Answer:

The approximate number of years until the species is extinct will be 9 years

Step-by-step explanation:

We are given

The population of a species is modeled by the equation

$p(t)=-t^4+72t^2+225$

where

t is the number of years

we have to find time when species extinct

we know that any species will be extinct only if population of that species becomes 0

so, we can set P(t)=0

and then we can solve for t

$p(t)=-t^4+72t^2+225=0$

we can factor it

$(t^2+3)(t^2-75)=0$

$(t^2+3)=0$

we get t value as imaginary for this equation

$(t^2-75)=0$

$t=\sqrt{75}$

$t=8.660$

So,

the approximate number of years until the species is extinct will be 9 years

8 0

4 years ago

My daughter hasnt been taught to do division with a 3 number divisor is their another way to calculate tgis problem?

katovenus [111]

Would long division work?

6 0

3 years ago

Need help asap please

il63 [147K]

Answer:

$\displaystyle 77$

Step-by-step explanation:

Isosceles triangles will always tell you what you need to know. All angles are congruent, therefore all edges are congruent. ‍♂️

I am joyous to assist you at any time.

8 0

3 years ago