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3 years ago

6. If the speed of the tidal wave is 3650 /ℎ, what is the value of ?

Mathematics

1 answer:

Andreyy893 years ago

5 0

Answer:

value of what ??

Step-by-step explanation:

is that velocity or something dud

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The lines on a 2-cup liquid measuring cup divide each cup into eighths. If you measure 1 3/4 cups of water, between which two qu

masya89 [10]

Answer:

1 3/4 cups is between the 13th and 15th lines from the bottom.

Step-by-step explanation:

The bottom of the cup has no line and corresponds to 0 eights.

1st line up: 1/8 cup

2nd line up: 2/8 cup this is also called 1/4 cup

3rd line up: 3/8 cup

4th line up: 4/8 cup this is also called 1/2 cup

5th line up: 5/8 cup

6th line up: 6/8 cup this is also called 3/4 cup

7th line up: 7/8 cup

8th line up: 8/8 cup this is also called 1 cup

9th line up: 9/8 cup

10th line up: 10/8 cup this is also called 1 1/4 cup

11th line up: 1 3/8 cup

12th line up: 1 4/8 cup this is also called 1 1/2 cup

13th line up: 1 5/8 cup

14th line up: 1 6/8 cup this is also called 1 3/4 cup

15th line up: 1 7/8 cup

16th line up: 1 8/8 cup this is also called 2 cups

1 3/4 cups is between the 13th and 15th lines from the bottom.

7 0

3 years ago

-3x+4=13 SOLVE PLZ! INEQUALITY

arlik [135]

Hi!

What you'll first need to do is subtract 4 from 4 and 13. After doing so, your equation will look like this...

-3x=9

Next, you'll need to divide -3x and 9 by -3. After you've done that, you'll get...

x=-3.

So your answer would be x=-3

I hope this helps!

5 0

3 years ago

Read 2 more answers

Write the inequality for the graphs

Irina18 [472]

A. -3 < x < 1
b. x < = 4 or x > = 6

4 0

3 years ago

Three lizards eat 63 grams of food each day. How many grams of food would you expect 5 lizards to eat

zhenek [66]

Answer: 105 grams

Step-by-step equation: they each eat 21 grams a day

3 0

3 years ago

A box with a hinged lid is to be made out of a rectangular piece of cardboard that measures 3 centimeters by 5 centimeters. Six

kherson [118]

Answer:

x = 0.53 cm

Maximum volume = 1.75 cm³

Step-by-step explanation:

Refer to the attached diagram:

The volume of the box is given by

$V = Length \times Width \times Height \\\\$

Let x denote the length of the sides of the square as shown in the diagram.

The width of the shaded region is given by

$Width = 3 - 2x \\\\$

The length of the shaded region is given by

$Length = \frac{1}{2} (5 - 3x) \\\\$

So, the volume of the box becomes,

$V = \frac{1}{2} (5 - 3x) \times (3 - 2x) \times x \\\\V = \frac{1}{2} (5 - 3x) \times (3x - 2x^2) \\\\V = \frac{1}{2} (15x -10x^2 -9 x^2 + 6 x^3) \\\\V = \frac{1}{2} (6x^3 -19x^2 + 15x) \\\\$

In order to maximize the volume enclosed by the box, take the derivative of volume and set it to zero.

$\frac{dV}{dx} = 0 \\\\\frac{dV}{dx} = \frac{d}{dx} ( \frac{1}{2} (6x^3 -19x^2 + 15x)) \\\\\frac{dV}{dx} = \frac{1}{2} (18x^2 -38x + 15) \\\\\frac{dV}{dx} = \frac{1}{2} (18x^2 -38x + 15) \\\\0 = \frac{1}{2} (18x^2 -38x + 15) \\\\18x^2 -38x + 15 = 0 \\\\$

We are left with a quadratic equation.

We may solve the quadratic equation using quadratic formula.

The quadratic formula is given by

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Where

$a = 18 \\\\b = -38 \\\\c = 15 \\\\$

$x=\frac{-(-38)\pm\sqrt{(-38)^2-4(18)(15)}}{2(18)} \\\\x=\frac{38\pm\sqrt{(1444- 1080}}{36} \\\\x=\frac{38\pm\sqrt{(364}}{36} \\\\x=\frac{38\pm 19.078}{36} \\\\x=\frac{38 + 19.078}{36} \: or \: x=\frac{38 - 19.078}{36}\\\\x= 1.59 \: or \: x = 0.53 \\\\$

Volume of the box at x= 1.59:

$V = \frac{1}{2} (5 – 3(1.59)) \times (3 - 2(1.59)) \times (1.59) \\\\V = -0.03 \: cm^3 \\\\$

Volume of the box at x= 0.53:

$V = \frac{1}{2} (5 – 3(0.53)) \times (3 - 2(0.53)) \times (0.53) \\\\V = 1.75 \: cm^3$

The volume of the box is maximized when x = 0.53 cm

Therefore,

x = 0.53 cm

Maximum volume = 1.75 cm³

7 0

3 years ago