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mrs_skeptik [129]
3 years ago
10

which expression is equivalent to the value 64,000?    A.   6.4 x 10²    B.   6.4 x 10³   C.  6.4 x 10⁴   D.  6.4 x 10⁵

Mathematics
2 answers:
MrRa [10]3 years ago
6 0

the answer is c

hope it helps

Tcecarenko [31]3 years ago
6 0

Answer:

C.  6.4 x 10⁴

Step-by-step explanation:

To write this number in scientific notation, we must move the decimal behind the first non-zero digit in the number.  That digit is 6; this makes the decimal portion 6.4.

We must count the number of places we move the decimal.  To move it from the end of the number to the decimal is a move of 4 spaces; this makes the correct answer

6.4 x 10⁴.

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Reil [10]

Answer:

150

Step-by-step explanation:

The sum of the angles of a quadrilateral are 360.  Let x be the unknown angle

30+70+110+x = 360

Combine like terms

210 +x = 360

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210+x-210 = 360-210

x = 150

6 0
3 years ago
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Select the interval where f(x)&gt;0<br><br> A: -2 B: 1&lt; x&lt;2<br> C: 4<br> HELP
Viefleur [7K]

Answer: 1 < x < 2

Step-by-step explanation:

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X-intercept=-3, y-intercepts=-3​
uysha [10]

The answer is Y=-3x-3

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3 years ago
-/2 points
Rom4ik [11]

Answer:

Part 1) The domain of the quadratic function is the interval  (-∞,∞)

Part 2) The range is the interval  (-∞,1]

Step-by-step explanation:

we have

f(x)=-x^2+14x-48

This is a quadratic equation (vertical parabola) open downward (the leading coefficient is negative)

step 1

Find the domain

The domain of a function is the set of all possible values of x

The domain of the quadratic function is the interval

(-∞,∞)

All real numbers

step 2

Find the range

The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.

we have a vertical parabola open downward

The vertex is a maximum

Let

(h,k) the vertex of the parabola

so

The range is the interval

(-∞,k]

Find the vertex

f(x)=-x^2+14x-48

Factor -1 the leading coefficient

f(x)=-(x^2-14x)-48

Complete the square

f(x)=-(x^2-14x+49)-48+49

f(x)=-(x^2-14x+49)+1

Rewrite as perfect squares

f(x)=-(x-7)^2+1

The vertex is the point (7,1)

therefore

The range is the interval

(-∞,1]

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Anton [14]
13 and 9/10 miles altogether
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