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3 years ago

(−0.5) + 0.3 what is the answer?

Mathematics

2 answers:

ziro4ka [17]3 years ago

7 0

Answer:

-.2

Step-by-step explanation:

It's basically .3 minus .5

Kitty [74]3 years ago

6 0

Answer:

-0.2

Step by step explanation

it's mostly subtracting 3 from 5 and adding 0. and a negative sign

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The volume of a cube is V=s3 , where s is the length of one edge of the cube. What is the edge length s for each cube?

PolarNik [594]

Answer:

s = $\sqrt[3]{999} }$

Step-by-step explanation:

V = s^3

Plug in the given volume.

999 = s^3

Take the third root of both sides to cancel out the ^3.

$\sqrt[3]{999} }$ = s

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Find the axis of symmetry of 2x^2 + 12x + 16 Show your work

raketka [301]

The vertex form:

$y=a(x-h)^2+k\\\\(h,\ k)-vertex$

The axis of symetry is x = h.

$y=ax^2+bx+c\to h=\dfrac{-b}{2a}$

We have

$y=2x^2+12x+16\to a=2,\ b=12,\ c=16$

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<h3>Answer: x = -3</h3>

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3 years ago

A park is rectangular with a length of ⅔ miles. If the area of the park is 3/9 square miles, what is the width?

Zielflug [23.3K]

Answer:

Area of the rectangular park = 2/3 square mile

Let us assume the width of the rectangular park = x

Then

The length of the rectangular park = 2 2/3 * x mile

= 8x/3 mile

Then

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2/3 = (8x/3) * x

2/3 = 8x^2/3

(2 * 3)/3 = 8x^2

2 = 8x^2

x^2 = 2/8

x^2 = 1/4

x^2 = (1/2)^2

x = 1/2

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

Hello, please consider the following.

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So this is divisible by 3.

Now, to prove that this is divisible by 9 = 3*3 we need to prove that

$4^n+17$ is divisible by 3. We will prove it by induction.

Step 1 - for n = 1

4+17=21= 3*7 this is true

Step 2 - we assume this is true for k so $4^k+17$ is divisible by 3

and we check what happens for k+1

$4^{k+1}+17=4\cdot 4^k+17=3\cdot 4^k + 4^k+17$

$3\cdot 4^k$ is divisible by 3 and

$4^k+17$ is divisible by 3, by induction hypothesis

So, the sum is divisible by 3.

Step 3 - Conclusion

We just prove that $4^n+17$ is divisible by 3 for all positive integers n.

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