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2 years ago

7

True or False: Number patterns are an example of deductive reasoning.

1 answer:

Viktor [21]2 years ago

3 0

Answer:True

Step-by-step explanation:

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Delphine has to place 64 bottles of water on a banquet table. it must have a way to fill a rectangular. what are the possible ar

tangare [24]

Answer:

Since $64= 2^6$ , you have the following arrangements.

Optional: $64 \times 1$ (and it's mirror version $1 \times 64$ , if you want to consider a long strip of bottles a rectangle. Technically it is, but it's open to interpretation.

$32 \times 2$ and it's mirror $2 \times 32$ ;

$16 \times 4$ and it's mirror $4 \times 16$ ;

Optional: $8 \times 8$ . Since a square is a rectangle with extra limitations.

6 0

2 years ago

A 24.6 g marble sliding to the right at 62.0 cm/s overtakes and collides elastically with a 12.3 g marble moving in the same dir

Softa [21]

Answer:

Velocity of the 24.6 g marble is 31 cm/s.

Step-by-step explanation:

Given:

Marble 1:

Mass of the marble $(m_1)$ = 12.3 gm

Velocity of $m_1$ before collision $v_1_i$ = 15.5 cm/s

Velocity of $m_1$ after collision $v_1_f$ = 77.5 cm/s

Marble 2:

Mass of the marble $(m_2)$ = 24.6 gm

Velocity of $m_2$ before collision $v_2_i$ = 62 cm/s

Velocity of $m_2$ after collision $v_2_f$ = ?

From the law of conservation of momentum, we know that momentum before equals the momentum after :

So,

⇒ $P(i)=P(f)$

⇒ $(m_1\times v_1_i )+(m_2\times v_2_i) =(m_1\times v_1_f)+(m_2\times v_2_f)$

⇒ Plugging the values.

⇒ $(12.3\times 15.5) +(24.6\times 62)=(12.3\times 77.5)+(24.6\times v_2_f)$

⇒ $190.65+1525.2=953.25+24.6\times v_2_f$

⇒ $1715.85=953.25+24.6\times v_2_f$

⇒ $1715.85-953.25=24.6\times v_2_f$ ...subtracting both sides 953.25

⇒ $762.6=24.6\times v_2_f$

⇒ $\frac{762.6}{24.6}\ =v_2_f$ ...dividing both sides with 24.6

⇒ $31=v_2_f$

⇒ $v_2_f =31$ cm/s

The velocity of the 24.6 g marble after the collision is 31 cm/s and it will move opposite to of the 12.3 g marbles that is towards left.

6 0

3 years ago

Which expression represents the calculation “subtract 10 from 36, then divided by 6”?

ololo11 [35]

B is the answer bc you need to subtract before divide, so you need the parenthesis around 36-10

5 0

3 years ago

Read 2 more answers

Which graph represents exponential decay?

Firdavs [7]

Answer:

c

Step-by-step explanation:

Edge 2020 - 2021

Good luck on your quiz :)

7 0

3 years ago

Read 2 more answers

The plane y=1 intersects the surface z=x5+2xy−y5 in a certain curve. Find the slope of the tangent line of this curve at the poi

Anna11 [10]

Answer:

slope = 7

Step-by-step explanation:

You have that the plane y=1 intersects the following surface:

$z=x^5+2xy-y^5$ (1)

To find the slope of the curve, you first replace y=1 in the equation (1):

$z=x^5+2x(1)-(1)^5=x^5+2x-1$ (2)

This is the generated curve when the plane y=1 intersect the surface z.

The slope of a function is given by the derivative of the function. Then, you calculate dz/dx in the equation (2):

$\frac{dz}{dx}=5x^4+2$

The slope only depends of the value of x. The slope for the point P(1,1,2) is:

$\frac{dz}{dx}_{x=1}=5(1)^4+2=7$

The value of the slope of the tangent line to point P is 7

7 0

3 years ago