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ZanzabumX [31]
3 years ago
14

List of things in your house that are spheres and cubes

Mathematics
1 answer:
olga55 [171]3 years ago
8 0
Cubes: Washer/Dryer, Spheres: Bath Bomb
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Jordan bought 9/16 of a proud of sunflower seeds and divided and them evenly into 9 snack bags for his lunch. What is the weight
stepladder [879]

Answer:

The weight of sunflower seeds in each snack bag is 1/16 of a pound

Step-by-step explanation:

Here, we want to know the weight of sunflower seeds in each snack bag.

The total weight bought is 9/16 pound and the division is into 9 bags

So the weight of the individual bags will be ;

9/16 divided by 9

= 9/16 * 1/9 = 1/16

5 0
3 years ago
Find the x-coordinates of any relative extrema and inflection point(s) for the function f(x) = 6x(1/3) + 3x(4/3). You must justi
stealth61 [152]
Applying our power rule gets us our first derivative,

\rm f'(x)=6\frac13x^{-2/3}+3\cdot\frac43x^{1/3}

simplifying a little bit,

\rm f'(x)=2x^{-2/3}+4x^{1/3}

looking for critical points,

\rm 0=2x^{-2/3}+4x^{1/3}

We can apply more factoring.
I hope this next step isn't too confusing.
We want to factor out the smallest power of x from both terms,
and also the 2 from each.

0=2x^{-2/3}\left(1+2x\right)

When you divide x^(-2/3) out of x^(1/3),
it leaves you with x^(3/3) or simply x.

Then apply your Zero-Factor Property,

\rm 0=2x^{-2/3}\qquad\qquad\qquad 0=(1+2x)

and solve for x in each case to find your critical points.

Apply your First Derivative Test to further classify these points. You should end up finding that x=-1/2 is an relative extreme value, while x=0 is not.

Let's come back to this,

\rm f'(x)=2x^{-2/3}+4x^{1/3}

and take our second derivative.

\rm f''(x)=-\frac43x^{-5/3}+\frac43x^{-2/3}

Looking for inflection points,

\rm 0=-\frac43x^{-5/3}+\frac43x^{-2/3}

Again, pulling out the smaller power of x, and fractional part,

\rm 0=-\frac43x^{-5/3}\left(1-x\right)

And again, apply your Zero-Factor Property, setting each factor to zero and solving for x in each case. You should find that x=0 and x=1 are possible inflection points.

Applying your Second Derivative Test should verify that both points are in fact inflection points, locations where the function changes concavity.
8 0
3 years ago
877.71 rounded to the nearest tenth
Ierofanga [76]
877.7 is the correct answer!
3 0
3 years ago
Read 2 more answers
Joe spends 18.75% of his working day washing cars. He spends 1.5 hours washing cars. How many total hours does he work per day?
insens350 [35]

Answer:

8 hours

Step-by-step explanation:

Joe spends 18.75% of his working day washing cars.

Joe spends 1.5 hours washing car.

Therefore 18.75% is equal to 1.5 hour.

18.75% = 1.5 hour

1% = 1.5 ÷ 18.75 = 0.08 hour

100% = 0.08 x 100 = 8 hours

4 0
3 years ago
which property is illustrated by the equation below (r+s)+t=r+(s+t). A)Associative B)Commutative C)Distributive D)Identity
Lera25 [3.4K]
The associative property of addition is being demonstrated here. The parenthesis are moved around to "associate" or "group" the values into two different pairs.

Note: the associative property of multiplication is very similar and it is
a*(b*c) = (a*b)*c<span />
4 0
3 years ago
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