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ArbitrLikvidat [17]
4 years ago
7

HELP

Mathematics
1 answer:
amid [387]4 years ago
3 0

Answer:

The set of Real number less than -5.

Step-by-step explanation:

Given:

f(x) = -3^{x}-5

For finding the range we will put the value for x=-1,0,1,2,.....

∴ f(-1) =-3^{-1}-5\\=\frac{-1}{3} -5\\=\frac{-16}{3}\\=-5.333

∴ f(0) =-3^{0}-5\\=-1 -5\\=-6

∴ f(1) =-3^{1}-5\\=-3 -5\\=-8

and so on we have all the set of Real number less than -5.

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A family has two cars. The first car gets 25 miles per gallon and the second car gets 15 miles per gallon. In a week the two car
kkurt [141]

Answer:20 and 15 gallons

Step-by-step explanation:

Given

The first car gets 25 miles per gallon

The second car gets 15 miles per gallon

Two cars consumed 35 Gallons

they went for 725 miles in total

suppose the first car consumes x gallons

so, the second car consumes 35-x gallons of gas

We can write

\Rightarrow 25x+15(35-x)=725\\\Rightarrow 25x-10x=725-525\\\Rightarrow 10x=200\\\Rightarrow x=20

First consumed 20 gallons and second consumed 15 gallons

4 0
3 years ago
A school administrator bought 6 desk sets. Each set consists of one table and one chair. He paid $48.50 for each chair. If he pa
zloy xaker [14]

Answer: The cost of each table was $62

Step-by-step explanation:

$48.50 x 6

= $291 this is the total cost of the chairs

$663 - $291

= $372 this is the overall cost of the tables

$372 ÷ 6

= $62 this is the cost of each table

5 0
2 years ago
Which type of data would be best displayed in a histogram?
Galina-37 [17]
Answer: A graphical display of data using different heights
4 0
2 years ago
If the circle has the same diameter as the edge length of the square, then the area of this circle is ___________the area of the
WINSTONCH [101]

Answer:

The area of this circle is (\frac{\pi}{2} )  the area of the square.

For the uniform electric field normal to the surface, the flux through the surface is electric field multiplied by the area of this surface.

Therefore, Φsquare is (\frac{2}{\pi} ) ϕcircle

Step-by-step explanation:

Area of the circle is given by;

A_c = \frac{\pi d^2}{4}

Area of the square is given by;

A_s = L^2

relationship between the edge length of the square, d, and length of its side, L,

d = \sqrt{L^2 + L^2} \\\\d = \sqrt{2L^2}

But area of the square , A_s = L^2

d = \sqrt{2A_s}

Then, the area of the square in terms of the edge length is given by;

A_s = \frac{d^2}{2}

Area of the circle in terms of area of the square is given by;

A_c = \frac{\pi d^2}{4} = \frac{\pi}{2}(\frac{d^2}{2} )\\\\But \ A_s = \frac{d^2}{2} \\\\A_c =  \frac{\pi}{2}(\frac{d^2}{2} )\\\\A_c =  \frac{\pi}{2}(A_s )

For the uniform electric field normal to the surface, the flux through the surface is electric field multiplied by the area of this surface.

Ф = E.A

Flux through the surface of the circle is given by;

\phi _{circle} = E.(\frac{\pi d^2}{4})

Flux through the surface of the square is given by;

\phi _{square} = E.(\frac{d^2}{2} )\\\\\phi _{square} =E.(\frac{d^2}{2} ).(\frac{\pi}{2} ).(\frac{2}{\pi} )\\\\\phi _{square} =E.(\frac{\pi d^2}{4} ).(\frac{2}{\pi} )\\\\\phi _{square} =(\phi _{circle}).(\frac{2}{\pi} )

Therefore, Φsquare is (\frac{2}{\pi} ) ϕcircle

5 0
4 years ago
What is the sum 5.43 18.9 and 67.201
Stella [2.4K]

Answer:

Step-by-step explanation:

91.531

5 0
3 years ago
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