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3 years ago

Need help finding the answers

Mathematics

1 answer:

Alex777 [14]3 years ago

7 0

8=384 9=248 hope this helped

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30 times 4 times the ten power of three

rosijanka [135]

Answer $=7085760$

Step-by-step explanation:

Use order of operations and evaluate the exponent first

$30*4*3^{10}$

$30*4(59049)$

$30*236192$

$=7085760$

3 0

2 years ago

Read 2 more answers

Megan has a large packing box shaped as a cube with a volume of 216 cubic feet.

Flura [38]

Answer:

s = 6 feet

Step-by-step explanation:

Given that,

The volume of the cube, V = 216 feet³

We need to find the side length for the cubical box. We know that the volume of the cube is given by :

$V=s^3$ , s is the side length of the box.

So,

$s={V}^{1/3}\\\\s={216}^{1/3}\\\\s=6\ feet$

So, the side length for the cubical box is equal to 6 feet.

6 0

3 years ago

The maximum value of 12 sin 0-9 sin²0 is: -

jeka57 [31]

Answer:

Step-by-step explanation:

The question is not clear. You have indicated the original function as 12sin(0) - 9sin²(0)

If so, the solution is trivial. At 0, sin(0) is 0 so the solution is 0

However, I will assume you meant the angle to be $\theta$ rather than 0 which makes sense and proceed accordingly

We can find the maximum or minimum of any function by finding the first derivate and setting it equal to 0

The original function is

$f(\theta) = 12sin(\theta) - 9 sin^2(\theta)$

Taking the first derivative of this with respect to $\theta$ and setting it equal to 0 lets us solve for the maximum (or minimum) value

The first derivative of $f(\theta)$ w.r.t $\theta$ is

$12\cos\left(\theta\right)-18\cos\left(\theta\right)\sin\left(\theta\right)$

And setting this = 0 gives

$12\cos\left(\theta\right)-18\cos\left(\theta\right)\sin\left(\theta\right) = 0$

Eliminating $cos(\theta)$ on both sides and solving for $sin(\theta)$ gives us

$sin(\theta) = \frac{12}{18} = \frac{2}{3}$

Plugging this value of $sin(\theta)$ into the original equation gives us

$12(\frac{2}{3}) - 9(\frac{4}{9} ) = 8 - 4 = 4$

This is the maximum value that the function can acquire. The attached graph shows this as correct

3 0

1 year ago

Use only an associative property to rewrite the following expression.<br> (pk)•r=

Gennadij [26K]

Answer:

Step-by-step explanation:

(pk) * r = p * (kr)

5 0

3 years ago

A vertical shift of 3 units down and a horizontal shift of 2 units to the right

Lubov Fominskaja [6]

Depends on what the coordinates are to get an exact answer but you go down on your y axis 3 units (so if it was at 0 it would become -3) and to the right on your x axis, which means the numbers are increasing ( so if it was 3 it would become 5.)

6 0

3 years ago