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QveST [7]
2 years ago
5

How do I do this I am a bit confused ?

Mathematics
1 answer:
Colt1911 [192]2 years ago
8 0

When you multiply the same number with different exponents together, you add the exponents together.

3^2 + 3^x = 3^7

Adding the two together you have 3^(2 + x = 7)

Solve for x: 2 + x = 7

Subtract 2 from both sides:

x = 5

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To test the impact performance of a 10 cm thick gymnastics mat, a 20 kg cylindrical
denis23 [38]

Answer:

A)196J

B)-208J

C)3467J

Step-by-step explanation:

We are given that a 20 kg cylindrical  mass is dropped onto the mat from a height of 1 m above the mat. During the impact,  the cylinder’s vertical velocity reaches zero at the instant the mat has compressed to  only 4 cm thick.

So, The Mat gets compressed by : 10cm - 4 cm = 6 cm=0.06 m

a)

Using Conservations of energy

Potential energy at the top = Kinetic energy at the point before touching the surface

Kinetic energy = mgh= 20 \times 9.8 \times 1 = 196 J

b)

Work done  by the mat do to stop the fall of the cylinder =-mg(h+0.06)=-20 \times 9.8(1+0.06)=-208 J

C)

Work done=\text{Average force} \times \text{ Compression of mat}

208=F \times 0.06

F=3467J

8 0
3 years ago
The price of a necklace was increased by 20% to ?156. What was the price before the increase?
Verdich [7]

Answer:

31.2

Step-by-step explanation:

156 * .2 = 31.2

3 0
3 years ago
PLZZZZ HLPPPPP MEEEEEEEE
kati45 [8]

Answer: y ≥ (3/5)*x - 3

Step-by-step explanation:

In the graph, we can see that we are above a bold line, that goes through the points (0, -3) and (5, 0)

First, let's find the equation for this line:

y = a*x + b

the value of a is the slope and is equal to:

a = (0 - (-3))/(5 -0) = 3/5

and the value of b is the point where the line intersects the y-axis, in this case, b = -3

then our line is

y = (3/5)*x - 3

As the shaded part is above the line, this equality represents the minimum value that y can take for a given x, and because the line is not a doted line, we know that the equality is valid, so we must use the ≥ symbol.

y ≥ (3/5)*x - 3

4 0
3 years ago
Guthrie made the input-output table shown below.
Inga [223]

9514 1404 393

Answer:

  C  3x +1 = y

Step-by-step explanation:

x-values increase by 1 from row to row.

y-values increase by 3 from row to row.

The slope of the linear function is the ratio of the y-increase to the x-increase:

  m = ∆y/∆x = 3/1 = 3

The only offered choice with an x-coefficient of 3 is ...

  C  3x +1 = y

__

If you check this against the table entries, you find it fits.

  3(1) +1 = 4

  3(2) +1 = 7

and so on.

3 0
3 years ago
3. The product of 7/10 and another factor
kicyunya [14]
The correct answer is d 7/7
4 0
4 years ago
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