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3 years ago

Give the dimensions of a cuboid with a volume of 18cm to the power 3.

1 answer:

4 0

We know that
volume of a cuboid=length*width*height

in this problem
we have
volume=(18 cm)³
so
volume=18*18*18 cm³

the dimensions of the cuboid are
length 18 cm
width 18 cm
height 18 cm
18 cm x 18 cm x 18 cm

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Maddy Evans drove 200 miles in the same amount of time that it took a turbo plane to travel 1200 miles at the speed of the plane

Romashka [77]

Maddy Evans:

D = rt

200 = xt

Turbo Plane:

D = rt

1200 = (200 + x)t

This is all that can be done with the information you provided. There is missing information here.

6 0

4 years ago

A toy manufacturer estimates that 6% of it's products are defective. If it produces 550 toys in one day, how many will be defect

AfilCa [17]

To calculate this, just multiply 550 by 6%, or 0.06. This comes out to 33 toys. Please mark Brainliest!!!

3 0

3 years ago

Read 2 more answers

For the composite function, identify an inside function and an outside function and write the derivative with respect to x of th

alexira [117]

Answer:

The inner function is $h(x)=4x^2 + 8$ and the outer function is $g(x)=3x^5$ .

The derivative of the function is $\frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=120x\left(4x^2+8\right)^4$ .

Step-by-step explanation:

A composite function can be written as $g(h(x))$ , where $h$ and $g$ are basic functions.

For the function $f(x)=3(4x^2+8)^5$ .

The inner function is the part we evaluate first. Frequently, we can identify the correct expression because it will appear within a grouping symbol one or more times in our composed function.

Here, we have $4x^2+8$ inside parentheses. So $h(x)=4x^2 + 8$ is the inner function and the outer function is $g(x)=3x^5$ .

The chain rule says:

$\frac{d}{dx}[f(g(x))]=f'(g(x))g'(x)$

It tells us how to differentiate composite functions.

The function $f(x)=3(4x^2+8)^5$ is the composition, $g(h(x))$ , of

outside function: $g(x)=3x^5$

inside function: $h(x)=4x^2 + 8$

The derivative of this is computed as

$\frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=3\frac{d}{dx}\left(\left(4x^2+8\right)^5\right)\\\\\mathrm{Apply\:the\:chain\:rule}:\quad \frac{df\left(u\right)}{dx}=\frac{df}{du}\cdot \frac{du}{dx}\\f=u^5,\:\:u=\left(4x^2+8\right)\\\\3\frac{d}{du}\left(u^5\right)\frac{d}{dx}\left(4x^2+8\right)\\\\3\cdot \:5\left(4x^2+8\right)^4\cdot \:8x\\\\120x\left(4x^2+8\right)^4$

The derivative of the function is $\frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=120x\left(4x^2+8\right)^4$ .

3 0

4 years ago

Choose the equation that represents the line passing through the point (2,-4) with a slope of 1/2? y=1/2x+5, y=1/2x-3, y=1/2x-5,

LUCKY_DIMON [66]

Correct answer: y=1/2x-5

given: point = (2,-4)
slope = 1/2

Explanation: equation of line is: y = mx + c
where, m is the slope
c is the y-intercept

Now,
here, y = 1/2x + c
put, x = 2, y = -4
we get, -4 = (1/2).2 + c
or c = -4 - 1
or c = -5

Hence, equation of line is : y = 1/2x-5

3 0

3 years ago

No one has answered this one

krek1111 [17]

Answer:

$\displaystyle x = \frac{25\sqrt{2}}{2}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA
[Right Triangles Only] cosθ = adjacent over hypotenuse

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = 45°

Adjacent Leg = 25

Hypotenuse = x

Step 2: Solve for x

Substitute in variables [cosine]: $\displaystyle cos(45^\circ) = \frac{x}{25}$
[Multiplication Property of Equality] Multiply 25 on both sides: $\displaystyle 25cos(45^\circ) = x$
Rewrite: $\displaystyle x = 25cos(45^\circ)$
Evaluate: $\displaystyle x = \frac{25\sqrt{2}}{2}$

7 0

3 years ago