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3 years ago

There are 6 people at a party. If each person

Mathematics

1 answer:

Andrew [12]3 years ago

7 0

Answer:

36!

Step-by-step explanation:

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For two days, your boss decides to double the amount you make. If on day 1, you make $70 dollars

natita [175]

Answer:

1 because you get 70 and 80 a day NORMALLY and the 2 indicates double so the 2 multiplies the 70 and 80.

Step-by-step explanation:because you get 70 and 80 a day NORMALLY and the 2 indicates double so the 2 multiplies the 70 and 80.

6 0

3 years ago

Hi can someone please help me on my homework

Murrr4er [49]

Answer:

8. yes, ASA

9. yes, SAS

10. yes, AAS

11. no

12. no

13. yes, SSS

Step-by-step explanation:

4 0

3 years ago

Find all zeros of ƒ(x) = 2x^4 – 72x^2. Then determine the multiplicity at each zero. State whether the graph will touch or cross

AleksandrR [38]

Answer: See below

Step-by-step explanation:

To find the factor,

f(x) = 0

$\begin{aligned}&2 x^{4}-72 x^{2}=0 \\&2 x^{2}\left(x^{2}-36\right)=0 \\&x^{2}\left(x^{2}-36\right)=0 \\&x \times x \times(x-6) \times(x+6)=0 \\&\mathrm{x}=0,0,6,-6\end{aligned}$

So,

x = 0 multiplicity 2

x = -6 multiplicity 1

x = 6 multiplicity 1

For an even multiplicty, the graph touches the x-axis, and for an odd multiplicty, the graph crosses the x-axis

Therefore,

x = 0 multiplicty 2, Touch

x = -6 multiplicty 1, Cross

x = 6 multiplicty 1, Cross

7 0

2 years ago

Rewrite the following linear equation in slope-intercept form. Write youk

ozzi

Answer:

y=-2x-2

Step-by-step explanation:

y+4=-2(x-1)

y+4=-2x+2

y=-2x+2-4

y=-2x-2

6 0

3 years ago

A waste management company is designing a rectangular construction dumpster that will be twice as long as it is wide and must ho

photoshop1234 [79]

Answer:

The dimensions that minimize the surface are:

Wide: 1.65 yd

Long: 3.30 yd

Height: 2.20 yd

Step-by-step explanation:

We have a rectangular base, that its twice as long as it is wide.

It must hold 12 yd^3 of debris.

We have to minimize the surface area, subjet to the restriction of volume (12 yd^3).

The surface is equal to:

$S=2(w*h+w*2w+2wh)=2(3wh+2w^2)$

The volume restriction is:

$V=w*2w*h=2w^2h=12\\\\h=\frac{6}{w^2}$

If we replace h in the surface equation, we have:

$S=2(3wh+2w^2)=6w(\frac{6}{w^2})+4w^2=36w^{-1}+4w^2$

To optimize, we derive and equal to zero:

$dS/dw=36(-1)w^{-2} + 8w=0\\\\36w^{-2}=8w\\\\w^3=36/8=4.5\\\\w=\sqrt[3]{4.5} =1.65$

Then, the height h is:

$h=6/w^2=6/(1.65^2)=6/2.7225=2.2$

The dimensions that minimize the surface are:

Wide: 1.65 yd

Long: 3.30 yd

Height: 2.20 yd

8 0

3 years ago