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Verizon [17]
4 years ago
13

World class mail sprinters run 100 m in about 10 seconds. Express this as a unit rate?

Mathematics
1 answer:
adelina 88 [10]4 years ago
8 0
0.01 km per second ....
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Parabolas in geometry. i need help please
natali 33 [55]

Answer:

OPtion B

Step by step explanation:

Lets plug in a random value for x.

Lets say 5 is x

-8(-5-5)=(y+1)^2

5-5 = 0

-8(0) = 0

0 = (y+1)^2

Square root of both sides

0 = y+1

subtract one from both sides

-1 = y

that means the x is 5 and the y is -1. Option B illustrates exactly that!

7 0
3 years ago
If ln(4x+y)=2x-3,then dy/dx=
Viktor [21]

\ln(4x+y)=2x-3

Differentiate both sides wrt x:

\dfrac{\mathrm d(\ln(4x+y))}{\mathrm dx}=\dfrac{\mathrm d(2x-3)}{\mathrm dx}

By the chain rule, we get

\dfrac1{4x+y}\dfrac{\mathrm d(4x+y)}{\mathrm dx}=2

\dfrac{4+\frac{\mathrm dy}{\mathrm dx}}{4x+y}=2

Solve for \frac{\mathrm dy}{\mathrm dx}:

4+\dfrac{\mathrm dy}{\mathrm dx}=8x+2y

\boxed{\dfrac{\mathrm dy}{\mathrm dx}=8x+2y-4}

4 0
3 years ago
Use the graph of the function g to answer the following. use correct formatting for your work
netineya [11]

9514 1404 393

Answer:

  • f(-2) = 4
  • f(1) = -5
  • D: [-3, ∞)
  • R: [-5,  11]

Step-by-step explanation:

You have marked the points on the graph corresponding to ...

  f(-2) = 4

  f(1) = -5

__

The domain is the horizontal extent, from x = -3 to +∞.

The range is the vertical extent, from y = -5 to +11 (inclusive).

6 0
3 years ago
Use the law of wines to find the value of y. Round to the nearest Tenth
Eva8 [605]

Answer:

y ≈ 2.5

Step-by-step explanation:

Using the Sine rule in Δ XYZ

\frac{sinZ}{XY} = \frac{sinY}{XZ} , substitute values

\frac{sin50}{2} = \frac{sin75}{y} ( cross- multiply )

y sin50° = 2 sin75° ( divide both sides by sin50° )

y = \frac{2sin75}{sin50} ≈ 2.5 ( to the nearest tenth )

4 0
3 years ago
A rectangle has a length that is 4 times the width, w. If the perimeter of the rectangle has a perimeter of 40
Zolol [24]

Answer:  16cm

Step-by-step explanation:

l = 4w

2l + 2w = p

2(4w) + 2w = 40

8w + 2w = 40

10w = 40

w = 4 cm

l = 4w = 4(4) = 16cm

5 0
3 years ago
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