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puteri [66]
3 years ago
11

consider the figure shown assuming the green and red blocks have the same weight where should a single Green Block be placed to

make the scale balance

Mathematics
1 answer:
prisoha [69]3 years ago
5 0
The amount of torque that a mass is based the distance from the fulcrum. The red blocks will create counter-clockwise motion, and the green will create clockwise motion. We need the red and green to be equal.

6 + 4 + 2(2) = 2(3) + 5 + x

14 = 11 + x

x = 3

So the green block should be placed at 3 on top the other two blocks.






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Find the image of (–7, –3) reflected across the x-axis. A. (–7, 3) B. (7, –3) C. (7, 3) D. (–7, –3)
Naddika [18.5K]

Answer:

(-7, -3) (Answer A)

Step-by-step explanation:

We start with the point (-7, -3).  The x-coordinate does not change at all if we reflect this point across the x-axis.  Whereas the y-value of (-7, -3) is -3, we end up with +3 after this reflection.  The desired image is (-7, +3)  (Answer A)

8 0
3 years ago
A tile pattern has five tiles in Figure 0 and adds seven tiles in each new figure. Write a linear equation that represents this
Olenka [21]

The linear equation that represents the <u>number of tiles in figure x</u> is given by:

y = 7x + 5

---------------------

A linear equation has the format:

y = mx + b

In which:

  • m is the slope, that is, the rate of change.
  • b is the y-intercept, that is, the value of y when x = 0.

---------------------

  • Figure 0 has 5 tiles, that is, when x = 0, y = 5, thus b = 5
  • Seven new tiles in each figure, that is, a rate of change of 7, thus m = 7

The number of tiles in figure x is given by:

y = 7x + 5

A similar problem is given at brainly.com/question/16302622

4 0
2 years ago
Which inequality models this situation?
lora16 [44]
I believe the answer is D but i could be wrong. sry for not being absolutely sure.
lol
8 0
3 years ago
Read 2 more answers
The mass of the particles that a river can transport is proportional to the sixth power of the speed of the river. A certain riv
kari74 [83]
The river flows at 2 miles per hour. This is the speed of the current, or the speed at which the water itself is moving.

The mass of the particles moving in river is proportional to the sixth power of 2, or 2^6 = 64 miles per hour. So, if x is the mass of the particle, then the speed is modeled by an inverse relationship x * 2^6 = k, for some constant k. 

For particles that are 15 times the usual mass, the speed of the river itself must increase for the particles to travel at the same speed as before. The mass of the particles is still proportional to the sixth power of the speed of the river, but the speed of the river can no longer be 2 miles per hour. It is some speed y, which we are solving for.

So, the key here is proportional. We can set up two proportions and cross multiply.

\dfrac{x}{2^6} =  \dfrac{15x}{y^6}  \\ (x)(y^6)=(2^6)(15x)

Cancelling our x's (because we don't need to solve for them), we have

y^6 = 15(2^6) = 15(64)=960

To solve for y, we must take the sixth root of both sides, or raise both sides to the one-sixth power.

\sqrt[6]{y^6} =  \sqrt[6]{960}

Using a calculator, we see that \sqrt[6]{960} = 3.14 \ miles \ per \ hour.
6 0
3 years ago
What is the volume of the prism?
jok3333 [9.3K]

Answer:

78.75 cm³

Step-by-step explanation:

Volume = Width × Height × Length

V = 5 × 4.5 × 3.5

V = 78.75 cm³

8 0
3 years ago
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