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Natasha_Volkova [10]
3 years ago
6

HELP ASAP!!! I’ll give 10 points

Mathematics
1 answer:
Yakvenalex [24]3 years ago
4 0

Answer:

it should be the last answer... 36

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Answer:

Simplified: 0.024

Step-by-step explanation:

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GIVING BRAINLIST Use the number line to answer the question. Each tick represents 1 unit.
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Kristine is comparing the typing speeds of her friends. The following tables shows their typing speeds.
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Find the equation of the exponential function represented by the table below:
IgorC [24]

Answer:

y=2^{1-x}

Step-by-step explanation:

<u>Exponential Function</u>

When we need to express the exponential relation between two variables, we use the equation

y=Cr^{x}

where C, r are constants to be determined by using the given points from the table

For x=0, y=2, thus

2=C.r^{0}=C

We find that C=2

The equation is now

y=2r^{x}

Now we use the point x=1, y=1

1=2r

We find that

\displaystyle r=\frac{1}{2}

Thus, the equation is

\displaystyle y=2\left(\frac{1}{2}\right)^{x}

Rearranging

y=2(2)^{-x}=2^{1-x}

The required equation is

y=2^{1-x}

We can easily verify the last two points are also obtained by using the equation

7 0
3 years ago
If m∠4 = 35, find m∠2. Explain.
Bad White [126]

Answer:

Option (1)

Step-by-step explanation:

From the picture attached,

Triangle CAB is a right triangle.

Therefore, m∠1 = 90°

Similarly, m∠ACD = 90°

m∠ACD = m∠ACB + m∠BCD = 90°

             = m∠3 + m∠4 = 90°

Since m∠4 = 35°,

m∠3 + 35° = 90°

m∠3 = 90° - 35°

        = 55°

In the triangle ABC,

m∠ACB + m∠CBA + m∠BAC = 180° [Property of a triangle]

m∠3 + m∠2 + m∠1 = 180°

55° + m∠2 + 90° = 180°

m∠2 + 145° = 180°

m∠2 = 180° - 145°

        = 35°

Since, AB║CD and BC is a transverse,

Therefore, m∠2 = m∠4 = 35° [Alternate interior angles]

Option (1) is the correct option.

4 0
3 years ago
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