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Anna35 [415]
3 years ago
11

A home improvement contractor is painting the walls and ceiling of a rectangular room. The volume of the room is 998.25 cubic fe

et. The cost of wall paint is $0.12 per square foot and the cost of ceiling paint is $0.18 per square foot. Find the room dimensions that result in a minimum cost for the paint. g

Mathematics
1 answer:
AlladinOne [14]3 years ago
6 0

Answer:

the room dimensions that result in a minimum cost for the paint is;

x = 11 ft

y = 11 ft

z = 8.25 ft

Step-by-step explanation:

Shown in the attachment;

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Which statement BEST explains the role of DNA in the growth and specialization of an organisms?
prisoha [69]
A. DNA stores genetic information
DNA is located inside the nucleus of a cell which holds a person's genetic information
7 0
3 years ago
Original:45 new:30 percent of change
Sveta_85 [38]

<u>Answer:</u>

<h2>-33.33%</h2>

<u>Explanation:</u>

30-45 = -15

percent of change = 100(-15/45) = -33.33%

6 0
3 years ago
How many complex zeros does the polynomial function have? <br><br> F(x)=2x^4 +5x^3 - x^2 +6x-1
klio [65]

Answer:

Two complex roots.

Step-by-step explanation:

F(x)=2x^4 +5x^3 - x^2 +6x-1

is a polynomial in x of degree 4.

Hence F(x) has 4 roots.  There can be 0 or 2 or 4 complex roots to this polynomial since complex roots occur in conjugate pairs.

Use remainder theorem to find the roots of the polynomial.

F(0) = -1 and F(1) = 2+5-1+6-1 = 11>0

There is a change of sign in F from 0 to 1

Thus there is a real root between 0 and 1.

Similarly by trial and error let us find other real root.

F(-3) = -1 and F(-4) = 94

SInce there is a change of sign, from -4 to -3 there exists a real root between -3 and -4.

Other two roots are complex roots since no other place F changes its sign

7 0
3 years ago
Tom starts at point A and then walk 3km east to point B and then walks 4km north to point C calculate the bearings and distance
sergejj [24]

Answer:

5km

Step-by-step explanation:

Please check the attached image for a diagram explaining this question

The distance from A to C can be determined using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

3² + 4²

= 16 + 9

= 25

determine the square root of 25

√25 = 5km

4 0
3 years ago
A fair charges 7.25 for admission and 5.50 for a ride pass. Ten friends visited the fair. Not all of the friends purchased ride
Free_Kalibri [48]
7.25(10) + 5.50p = 105.50
72.50 + 5.50p = 105.50
5.50p = 105.50 - 72.50
5.50p = 33
p = 33 / 5.50
p = 6 <=== there were 6 ride passes purchased
4 0
3 years ago
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