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3 years ago

Can someone help me with this math problem :)!? I added some pictures.

Mathematics

1 answer:

KonstantinChe [14]3 years ago

8 0

Answer:

V = 4x^3-39x^2+93.5x

Domain: 0 < x < 4.25

Using the graph the maximum volume is about V = 66 inches ^3 at about x = 1.6

Step-by-step explanation:

V = l*w*h

The length is 11 -2x

The width is 8.5 -2x

The height is x

V = ( 11 -2x) ( 8.5 -2x) x

FOIL ( first outer inner last)

V = (93.5 -22x - 17x +4x^2) x

Combine like terms

V =( 4x^2-39x+93.5)x

Distribute the x

V = 4x^3-39x^2+93.5x

The domain is the values that x can take

Looking at the picture

2x can be no largest than 8.5 or there will be no width

2x < 8.5

x < 4.25

If x ≤ 0 there is no height so x > 0

0 < x < 4.25

Using the graph the maximum volume is about V = 66 inches ^3 at about x = 1.6

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OlgaM077 [116]

Answer:

a) length = 3 and width = 6

Area of the rectangle = 3 × 6 = 18 cm²

b) length = 7 and width = 2

Area of the rectangle = 7 × 2 = 14 cm²

c) length = 5 and width = 4

Area of the rectangle = 5× 4 = 20 cm²

Step-by-step explanation:

Step(i):-

Given perimeter of the paper = 18 cm

we know that the paper has a rectangle shape

The perimeter of the rectangle = 18 cm

2( l + w ) = 18

we choose length = 3 and width = 6

The perimeter of the rectangle = 2( 3+6) = 18 cm

Area of the rectangle = 3 × 6 = 18 cm²

we choose length = 7 and width = 2

The perimeter of the rectangle = 2( 7+2) = 18 cm

Area of the rectangle = 7 × 2 = 14 cm²

we choose length = 5 and width = 4

The perimeter of the rectangle = 2( 5+4) = 18 cm

Area of the rectangle = 5× 4 = 20 cm²

3 0

3 years ago

Directio: Draw and label a figure for the condition.

fgiga [73]

Answer:

See attached

Step-by-step explanation:

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7 0

3 years ago

A positive angle less than 360 degrees that is coterminal with -5 degrees is

nadya68 [22]

Answer:

$\theta = 355$

Step-by-step explanation:

Given

Let the angle be $\theta$

$\theta < 360$

$\theta$ is co-terminal with -5

Required

Find $\theta$

Start by dividing 5 by 360 (ignore the negative)

$\frac{5}{360} = 0.0138$

The nearest integer greater than 0.0138 is 1.

This implies that if you were to draw for this problem, the circle you would draw to show -5 degrees would go around 1 time

So, $\theta$ is calculated as:

$\theta = -5 + 1*360$

$\theta = -5 +360$

$\theta = 355$

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4 years ago

Using F(x) = 5x^2- 3, what is f(-3)? A. 42 B. -3 C.-48 D. -42

Gnom [1K]

Answer: 42

Step-by-step explanation

Switch x out with 3

using Pemdas do the exponent first

3^2 is 9

then multiply

5*9= 45

then subtract

45-3=42

8 0

3 years ago

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Alina [70]

The correct answer is C.

Hope this helps

4 0

4 years ago