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ratelena [41]
2 years ago
7

Which of the following would best be solved using completing the square?

Mathematics
1 answer:
Andrews [41]2 years ago
7 0

Answer:

2x^2 +15x = 6

Step-by-step explanation:

the form of this equation makes it easier to use the completing the square method

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The mass of an electron is approximately 9 × 10-28 grams, while the mass of a neutron is approximately 2 × 10-24 grams. Which of
aalyn [17]

Answer: the mass of a neutron is approximately 2,000 times the mass of an electron

Step-by-step explanation:

- the easiest way to solve this (in my opinion) is to simply divide the mass of a neutron by the mass of an electron

- 2 x10^{-24} / (9 x10^{-28} )

=  (2/9) x10^{-24--28}

=  (2/9)x10^{-24+28}

≈  0.2222x10^{28-24}

≈ 0.2222x10^{4}

≈ which is approximately 2222    

- so 2222 is approximately 2000 times

- therefore, the mass of a neutron is approximately 2,000 times the mass of an electron

hope this helps :)

4 0
2 years ago
Read 2 more answers
Here are 180 candies in a candy shipment. There are Gobs, Blobs, and Toffees. The bage are made in ratio of 4:2:3 of Gobs, to Bl
Maru [420]

Answer:

The answer to the cost for each toffee is given below:

Step-by-step explanation:

The computation of the cost for each toffee is shown below:

Given that

There are a total 180 candies hat includes three types  in a ratio of 4:2:3

Gobs = 4 ÷ 9 × 180 = 80

Blobs = 2 ÷ 9 × 180 = 40

Toffees = 3 ÷ 9 × 180 = 60

Now the total cost of all the candies shipment is $430

So,

The equation would be

80 × $1.50 + 40 × $2.50 + 60 × per cost = $430

120 + 150 + 60 × per cost = $430

60 × per cost = $430 - $120 - $150

60 × per cost = $160

Per cost is $2.67

So for toffees it would be 160

4 0
2 years ago
Julius sold five times as many computers as Sam sold last year. In total they sold 78 computers, how many did Julius sell?
enyata [817]
Julius sold 65 computers
3 0
3 years ago
Read 2 more answers
If sin phi sin theta = 0.2 and sin phi cos theta = -0.3 and sin phi > 0 what is theta ? Repeat for sin phi < 0.
Rina8888 [55]

Answer:

θ = -33.69°

Step-by-step explanation:

For Φ>0 and Φ<0  (in general Φ≠nπ  where n is an integer), sin(Φ) ≠ 0

Dividing both equations:

\frac{sin(\phi) sin(\theta)}{sin(\phi)cos(\theta)} = tan(\theta) = 0.2/(-0.3)=-2/3\\

Therefore:

arctan(θ) = -2/3

  θ = -33.69°

The answer does not depend on the sign of Φ, in fact we just need that the sine does not become zero, which occurs when Φ is equal to an integer times π (radians) or 180 (degrees)

Have a nice day!

3 0
3 years ago
The graph of a proportional relationship contains the point (8, 4).
Softa [21]
\bf \qquad \qquad \textit{direct proportional variation}\\\\&#10;\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad  y=kx\impliedby &#10;\begin{array}{llll}&#10;k=constant\ of\\&#10;\qquad  variation&#10;\end{array}\\\\&#10;-------------------------------\\\\&#10;(\stackrel{x}{8}~~,~~\stackrel{y}{4})\implies &#10;\begin{cases}&#10;x=8\\&#10;y=4&#10;\end{cases}\implies 4=k8\implies \cfrac{4}{8}=k\implies \cfrac{1}{2}=k&#10;\\\\\\&#10;\boxed{y=\cfrac{1}{2}x}
6 0
3 years ago
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