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3 years ago

Fill in the blank for the following sequence 1, 2, 4,|| 16. 64,128 9

Mathematics

1 answer:

Andreas93 [3]3 years ago

6 0

Answer:

Step-by-step explanation:

each number is to double itself and 4 times 2 is 8

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Q8:<br> What is the solution to the equation below?<br> <br> 4w = 2/3 <br> W=?<br><br>

iVinArrow [24]

Answer:

Step-by-step explanation:

Hope this helps

5 0

2 years ago

Read 2 more answers

¿Cuál es la probabilidad de que al lanzar un dado se obtenga un número impar y menor que 5?

NemiM [27]

Answer:

4/6 or 66.67 percent

Step-by-step explanation:

5 0

2 years ago

A rectangular storage container with a lid is to have a volume of 2 m3. The length of its base is twice the width. Material for

Scilla [17]

Answer:

Dimensions are 2 m by 1 meter by 1 meter,

Minimum cost is $ 18.

Step-by-step explanation:

Let w be the width ( in meters ) of the container,

Since, the length is twice of the width,

So, length of the container = 2w,

Now, if h be the height of the container,

Volume = length × width × height

2 = 2w × w × h

1 = w² × h

$\implies h=\frac{1}{w^2}$

Since, the area of the base = l × w = 2w × w = 2w²,

Area of the lid = l × w = 2w²,

While the area of the sides = 2hw + 2hl

= 2h( w + l)

$= 2\times \frac{1}{w^2}(w+2w)$

$=\frac{6w}{w^2}$

$=\frac{6}{w}$

Since, Material for the base costs $1 per m². Material for the sides and lid costs $2 per m²,

So, the total cost,

$C(w) = 1\times 2w^2+2\times 2w^2 + 2\times \frac{6}{w}$

$=2w^2+4w^2+\frac{12}{w}$

$=6w^2+\frac{12}{w}$

Differentiating with respect to w,

$C'(w) = 12w -\frac{12}{w^2}$

Again differentiating with respect to w,

$C''(w) = 12 + \frac{24}{w^3}$

For maxima or minima,

C'(w) = 0

$\implies 12w -\frac{12}{w^2}=0$

$\implies 12w^3 - 12=0$

$w^3-1=0\implies w = 1$

For w = 1, C''(w) = positive,

Hence, for width 1 m the cost is minimum,

Therefore, the minimum cost is C(1) = 6(1)²+12 = $ 18,

And, the dimension for which the cost is minimum is,

2 m by 1 meter by 1 meter.

7 0

3 years ago

1. If p(x) = 3x + 4x² - 5x +8, find p(-2).

levacccp [35]

Step-by-step explanation:

$\small{\underline{\tt{\red{Given}}}}$

$\rightarrow$ p(x) = -2

$\small{\underline{\tt{\green{solution}}}}$

$\rightarrow$ $p(x) = 3x + {4x }^{2} - 5x + 8$

$\rightarrow$ $p( - 2) = 3( - 2) + 4( { - 2}^{2} ) - 5( - 2) + 8$

$\rightarrow$ $p( - 2) = - 6 + 16 + 10 + 8$

$\rightarrow$ $p( - 2) = 10 + 18$

$\rightarrow$ $p( - 2) = 28$

$\small\boxed{p(-2) = 28 }$

Hope it helps

4 0

3 years ago

a cylinder and a cone have the same volume. the cylinder has a radius of 2 inches and height of 3 inches. the cone has a radius

kaheart [24]

Answer:

Step-by-step explanation:

Volume of a cylinder = pi*(xx)^2*yy

= x^4*pi*yy

Volume of a cone = 1/3*pi*(9x^2)^2*h

= 27pi*x^4*h

x^4*pi*y^2 = 27pi*x^4*h

h = y^2 / 27

3 0

3 years ago