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lukranit [14]
2 years ago
13

Section B

Mathematics
1 answer:
EastWind [94]2 years ago
7 0
Divide $2769 by $9 and you get 306.6 but you can’t just buy .6 of a toy so that leaves you at 306 whole toys and 306x9 is $2754 so you would have $15 leftover
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Complete the equation describing how x
lilavasa [31]

Answer:

y=3x

Step-by-step explanation:

-6/-2=3, -3/-1=3, 3/1=3. 6/2=3

7 0
3 years ago
Find the area of the following figure.
dem82 [27]

Answer:

the answer is 17.6cm2 ..

7 0
3 years ago
A container in the shape of a square-based prism has a volume of 2744 cm'. What dimensions give the
Vinvika [58]

Answer:

The dimensions that give the minimum surface area are:

Length = 14cm

width = 14cm

height = 14cm

And the minimum surface is:

S = 1,176 cm^2

Step-by-step explanation:

A regular rectangular prism has the measures: length L, width W and height H.

The volume of this prism is:

V = L*W*H

The surface of this prism is:

S = 2*(L*W + H*L + H*W)

If the base of the prism is a square, then we have L = W

Then the equations become:

V = L*L*H = L^2*H

S = 2*(L^2 + 2*H*L)

We know that the volume of the figure is 2744 cm^3

Then:

V = 2744 cm^3 = H*(L^2)

In this equation, we can isolate H.

H = (2744 cm^3)/(L^2)

Now we can replace this on the surface equation:

S = 2*(L^2 + 2*L* (2744 cm^3)/(L^2))

S = 2*L^2 + 4(2744 cm^3)/L

Now we want to minimize the surface area, then we need to find the zeros of the first derivative of S.

S' = 2*(2*L) - 4*(2744 cm^3)/L^2

This is equal to zero when:

0 = 2*(2*L) - 4*(2744 cm^3)/L^2

0 = 4*L*L^2 - 4*(2744 cm^3)

4*(2744 cm^3) = 4*L^3

2744 cm^3 = L^3

∛(2744 cm^3) = L = 14cm

Then the length of the base that minimizes the surface is L = 14.

Then we have:

H = (2744 cm^3)/(L^2) = (2744 cm^3)/(14cm)^2 = 14cm

Then the surface is:

S = 2*(L^2 + 2*L*H) = 2*( (14cm)^2 + 2*(14cm)*(14cm)) = 1,176 cm^2

8 0
2 years ago
Rewrite this polynomial in STANDARD FORM:<br>5x-10x^2+8x^3​
Ainat [17]

Answer:

8 {x}^{3}   -  10 {x}^{2}  + 5x

Step-by-step explanation:

5x - 10 {x}^{2} + 8 {x}^{3}   \\   \red{ \bold{= 8 {x}^{3}   -  10 {x}^{2}  + 5x}} \\ is \: in \: the \: standard \: form \\

4 0
3 years ago
PLEASE HELP I AM STRUGGLING
ArbitrLikvidat [17]

Answer:

y=-2x+2

Step-by-step explanation:

the slope intercept form is y=mx+b

slope - to find the slope from 2 point you do (y2-y1)/(x2-x1) so it would be

(14-2)/(-6-0). which out simplify to -2.

y-intercept - the y-intercept is given in one of the points (0,2).

5 0
3 years ago
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