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2 years ago

Which of the following is equivalent to 3^4? 12 81 07 64

Mathematics

2 answers:

kolbaska11 [484]2 years ago

7 0

Answer: is this supposed to be 3 to the power of 4?

Step-by-step explanation:

DiKsa [7]2 years ago

4 0

81

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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

What transformation is used to transform b into figure C?

givi [52]

On order to change B to C, you have to bring B 3 units to the right and then 4 units down.

8 0

3 years ago

What is the given point on the line of this equation y +2 = 5/3(x-3)

8_murik_8 [283]

Answer:

Step-by-step explanation:

Solve x then y after..

4 0

2 years ago

Evaluate the surface integral. s x ds, s is the part of the plane 18x + 9y + z = 18 that lies in the first octant.

IceJOKER [234]

In the first octant, the given plane forms a triangle with vertices corresponding to the plane's intercepts along each axis.

$(x,0,0)\implies 18x+9\cdot0+0=18\implies x=1$
$(0,y,0)\implies 18\cdot0+9y+0=18\implies y=2$
$(0,0,z)\implies 18\cdot0+9\cdot0+z=18\implies z=18$

Now that we know the vertices of the surface $\mathcal S$ , we can parameterize it by

$\mathbf s(u,v)=\langle(1-u)(1-v),2u(1-v),18v\rangle$

where $0\le u\le1$ and $0\le v\le1$ . The surface element is

$\mathrm dS=\|\mathbf s_u\times\mathbf s_v\|\,\mathrm du\,\mathrm dv=2\sqrt{406}(1-v)\,\mathrm du\,\mathrm dv$

With respect to our parameterization, we have $x(u,v)=(1-u)(1-v)$ , so the surface integral is

$\displaystyle\iint_{\mathcal S}x\,\mathrm dS=2\sqrt{406}\int_{u=0}^{u=1}\int_{v=0}^{v=1}(1-u)(1-v)^2\,\mathrm dv\,\mathrm du=\frac{\sqrt{406}}3$

5 0

3 years ago

The football coach bought enough sports mix to make 60 L of a sports drink.

Ilya [14]

the coach makes a total volume of 60 L of a sports drink

we have to find the number of cups he can fill with the drink

1 cup is equivalent to 0.5 pints

so we have to first convert L to pints

1 L = 2.11 pt

then 60 L = 126.6 pt

the volume of sports drink made is 126.6 pt

so 0.5 pt make - 1 cup

then 126.6 pt make - 1 / 0.5 x 126.6 = 253.2 cups

he can make 253 full cups and 0.2 of a cup

answer is 253.2 cups

4 0

3 years ago

Read 2 more answers