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Butoxors [25]
2 years ago
13

A scientist needs to print a research report on her computer’s printer. If she prints in black ink only, b(t)=152-33t describes

the number of pages left to print after t minutes. If she prints in colored ink, c(t)=152-30t describes the number of pages left to print after t minutes. Based on this information, which statement is true?
F. The printer prints 3 more pages per minute in colored ink than in black ink.
G. The printer prints 3 fewer pages per minute in colored ink than in black ink.
H. The printer prints the same number of pages per minute in either type of ink.
J. The printer prints the entire research report in 152 minutes.
Mathematics
1 answer:
Flauer [41]2 years ago
3 0
With black ink      ⇒⇒⇒ <span>b(t)=152-33t
With </span>colored ink   ⇒⇒⇒ <span>c(t)=152-30t

After 1 minute :
b = 152 - 33 * 1 = 152 - 33 = 119
c = 152 - 30 * 1 = 152 - 30 = 122
c - b = 122 - 119 = 3

The correct choice is:
</span><span>G. The printer prints 3 fewer pages per minute in black ink than in colored ink.</span>
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Titus is asked to prove hexagon FEDCBA is congruent to hexagon
Goshia [24]

Answer:

<u><em>(x, y) -------> ( - x , y - 10 )</em></u>

Step-by-step explanation:

Titus is not correct.

There are two transformations will correctly prove FEDCBA ≅ F'E'D'C'B'A'

First transformation is Reflection over y-axis , then translation 10 units down.

The final formula is <em>( - x , y - 10 )</em>

5 0
2 years ago
What is the following product? Assume x greater-than-or-equal-to 0 (4 x StartRoot 5 x squared EndRoot + 2 x squared StartRoot 6
makvit [3.9K]

Answer:

D

Step-by-step explanation:

(4x√5x^2 +2x^2√6)^2 

remove the last ^2 by multiplying the parenthesis by each other:

(4x√5x^2 +2x^2√6) * (4x√5x^2 +2x^2√6)

 use FOIL & distribute :

4x√5x(4x√5x +2x^2√6) +2x^2√6(4x√5x +2x^2√6)

apply the distributive property once more:

4x^2√5(4x^2√5)+ 4x^2√5(2x^2√6) + (2x^2√6(4x^2√5) +2x^2√6(2x^2√6)

remove parenthesis and combine like terms to get:

104x^4+16x^4√30

 answer is D

4 0
2 years ago
Read 2 more answers
Define f(0,0) in a way that extends f to be continuous at the origin. f(x, y) = ln ( 19x^2 - x^2y^2 + 19 y^2/ x^2 + y^2) Let f (
kirill115 [55]

Answer:

f(0,0)=ln19

Step-by-step explanation:

f(x,y)=ln(\frac{19x^2-x^2y^2+19y^2}{x^2+y^2}) is given as continuous function, so there exist lim_{(x,y)\rightarrow(0,0)}f(x,y) and it is equal to f(0,0).

Put x=rcosA annd y=rsinA

f(r,A)=ln(\frac{19r^2cos^2A-r^2cos^2A*r^2sin^2A+19r^2sin^2A}{r^cos^2A+r^2sin^2A})=ln(\frac{19r^2(cos^2A+sin^2A)-r^4cos^2Asin^a}{r^2(cos^2A+sin^2A)})

we know that cos^2A+sin^2A=1, so we have that

f(r,A))=ln(\frac{19r^2-r^4cos^2Asin^a}{r^2})=ln(19-r^2cos^2Asin^2A)

lim_{(x,y)\rightarrow(0,0)}f(x,y)=lim_{r\rightarrow0}f(r,A)=ln19

So f(0,0)=ln19.

8 0
2 years ago
Aarti bought a square shaped table cloth for her home the side of the table cloth measures 2 1/3m what is the area of the table
PSYCHO15rus [73]

Answer:

Area of table cloth =  49/9 m² or 5.44 m²

Step-by-step explanation:

Given:

Side of table cloth  = 2\frac{1}{3}m = 7/3 m

Shape of cloth is square

Find:

Area of table cloth

Computation:

Area of square = side²

So,

Area of table cloth = side²

Area of table cloth = (7/3)²

Area of table cloth =  49/9 m² or 5.44 m²

3 0
1 year ago
Damon and Eddie each had an equal amount of money. Each day Damon spent $18 and Eddie spent $24. When Eddie used up all his mone
Zina [86]
D = $18
E = $24
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x = $138
6 0
2 years ago
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