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3 years ago

Please help quickly thanks :)

Mathematics

1 answer:

marusya05 [52]3 years ago

8 0

(0, 0) → t = 0, w = 0 → w = 0 · 0

(1, 4) → t = 1, w = 4 → w = 1 · 4

(2, 8) → t = 2, w = 8 → w = 2 · 4

(3, 12) → t = 3, w = 12 → w = 3 · 4

<h3>Answer: w = 4t</h3>

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A carpenter wants to build a rectangular box with square sides in which to put round things. the material for the bottom costs $

alexira [117]

Answer: $1.627\times 1.627\times 1.88\ ft^3$

Step-by-step explanation:

Given

Suppose side face have a dimension of l\times l

and width of h

volume $V=l^2\cdot h$

$h=\frac{V}{l^2}$

volume $V=5 ft^3$

Area of side wall is $A_s=l^2$

Area of top Wall $A_t=l\times h$

Area of bottom $A_b=l\times h$

Cost of bottom wall $c_b=20\times l\times h=20lh$

Cost of top wall $c_t=50\times l\times h=50lh$

Cost of side walls $c_s=4\times l^2\times 10=40l^2$

total cost $C=c_s+c_t+c_b=20lh+50lh+40l^2$

$C=70lh+40l^2$

$C=70\times l\times \frac{5}{l^2}+40l^2$

differentiate C w.r.t l to get minima or maxima

$\frac{\mathrm{d} C}{\mathrm{d} l}=0$

$-\frac{350}{l}+80l^2=0$

$l^3=\frac{350}{80}$

$l=1.627 ft$

$h=\frac{5}{2.648}$

$h=1.88 ft$

Dimension of Box is $1.627\times 1.627\times 1.88\ ft^3$

5 0

3 years ago

A total of 800 pre-sale tickets and tickets at the gate were sold to football city championship game. If the number of tickets s

Nitella [24]

The number of presale tickets sold is 271

Solution:

Let "p" be the number of presale tickets sold

Let "g" be the number of tickets sold at gate

Given that, total of 800 Pre-sale tickets and tickets at the gate were sold

Therefore,

Presale tickets + tickets sold at gate = 800

p + g = 800 ------ eqn 1

Given that, number of tickets sold at the gate was thirteen less than twice the number of pre-sale tickets

Therefore,

Number of tickets sold at gate = twice the number of pre-sale tickets - 13

g = 2p - 13 ------- eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 2 in eqn 1

p + 2p - 13 = 800

3p -13 = 800

3p = 800 + 13

3p = 813

p = 271

Thus 271 presale tickets were sold

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4 years ago

If x= 8 x 9 x 27 then what is 3 square root of x

forsale [732]

Answer: 132.27

Step-by-step explanation:

Multiply 8 × 9 × 27 to get the value of x

= 1944

To get 3 square root of 1944, find the square root of 1944 = 44.09

3 square root of 1944 = 3 x 44.09 = 132.27

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3 years ago

5.401×10 −1 as a standard form.

zvonat [6]

A negative exponent means to move the decimal point to the left the number of the exponent.

10^-1 you would move the decimal 1 place to the left.

5.401 x 10^-1 = 0.5401

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3 years ago

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Let f(x)=2^(x) and g(x)=2^(x+3)

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Answer:

Step-by-step explanation:

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2 years ago