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ivolga24 [154]
3 years ago
6

A linear function is modeled with y = 3x + 7. Is the point (4, 6) on the graph of the line?

Mathematics
1 answer:
Crank3 years ago
8 0
Slope: 3

y-intercept: (0,7)

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Water is flowing into a large spherical tank at a constant rate. Let V (t) be the volume of water in the tank at time t, and h(t
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Answer:

See solutions for detail.

Step-by-step explanation:

a.  \frac{dV}{dt} is the instantaneous rate of change of volume given with respect to time, t.

The volume's rate of change is written as a function of time.

-\frac{dh}{dt} is the rate of change in the height of water in the tank with respect to time, t.

b.  \frac{dV}{dt}- is the only constant. Water flows into the constant at a constant rate, say 6cm^3 per minute.

c. \frac{dV}{dt} is positive. Volume water in the take  is increasing from time to time.

-The volume at time t=1 is greater than the volume at t=0, hence, it's a positive rate of change.

d. \frac{dh}{dt} is a positive rate. The initial height of water in the tank is zero.

-The final height at time t is 0.25h. The height is increasing with time.

Hence, it is positive.

8 0
3 years ago
The statements below can be used to prove that the triangles are similar. ? △ABC ~ △XYZ by the SSS similarity theorem. Which mat
Vsevolod [243]

Solution:

It is given that two triangles Δ ABC and Δ X Y Z are similar by Side -Side - Side(SSS)  Similarity theorem.

So, the Statement which is given, that is →→∠B ≅ ∠Y and ∠B ≅ ∠Z, is inadequate for similarity criterion by SSS, as these statement are about angles of Triangles,not sides, which can't be true.

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⇒\frac{AB}{XY}=\frac{BC}{ZY}=\frac{AC}{XZ}

8 0
3 years ago
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Question is attached
rodikova [14]

9514 1404 393

Answer:

  x = 12

  perimeter = 124

Step-by-step explanation:

The midline RS is half the length of MN, so we have ...

  2×RS = MN

  2(x +3) = 5x -30

  2x +6 = 5x -30

  36 = 3x . . . . . . . . . add 30-2x

  12 = x . . . . . . . . . . divide by 3

__

The length RS is then ...

  RS = x +3 = 15

and the perimeter of QRS is ...

  P(QRS) = QR +RS +SQ = 25 +15 +22 = 62

The perimeter of QRS is half the perimeter of MNP, so ...

  P(MNP) = 2×P(QRS) = 2×62 = 124

The perimeter of ΔMNP = 124.

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2 years ago
A family gathered 20 small seashells from the beach bringing the total number of small seashells in their collection to 41.
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