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ratelena [41]
3 years ago
12

Match the fraction with its equivalent decimal form of the number.

Mathematics
1 answer:
bagirrra123 [75]3 years ago
3 0

Answer:

  see below

Step-by-step explanation:

The overbar on decimal digits means they repeat forever.

Any fraction with a denominator consisting of powers of 2 and/or 5 will terminate. These can be converted to decimal by multiplying the fraction by a number to make the denominator an appropriate power of ten.

  1 2/3 = 1.66666666666... repeating

  1 3/5 = 1 (3·2)/(5·2) = 1 6/10 = 1.6

  1 1/4 = 1 (1·25)/(4·25) = 1 25/100 = 1.25

  1 33/50 = 1 (33·2)/(50·2) = 1 66/100 = 1.66

Of course, your calculator can tell you the decimal equivalents, too.

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The diameter of a sphere is 6 cm. What is the volume of the sphere?
irinina [24]

Answer:

36pi

Step-by-step explanation:

the volume of a sphere is equal to 4/3 x pi x r^3

the radius is half of the diameter

3^3=27

27x4/3=36

36pi

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2 years ago
John J. Parker worked 44 hours this week. He gets time-and-a-half for any hours beyond 40. How many regular pay hours did John w
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3 years ago
What is the value of A?
natali 33 [55]

Answer:

A is -8

B 27

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y 6

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step by step explanation:

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2 years ago
If f(x) = 2x - 4 and g(x)= -5x + 6, then what is g(g(x))?
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7 0
3 years ago
One factor of the function f(x) = x3 − 8x2 + 17x − 10 is (x − 5). Describe how to find the x-intercepts and the y-intercept of t
kozerog [31]

Answer:

x-intercepts: (1,0), (2,0), (5,0)

y-intercepts: (0,-10)

Step-by-step explanation:

One factor of the function f(x) = x^3-8x^2 + 17x-10 is (x-5).

Factor the polynomial in the following way:

x^3-8x^2 + 17x-10\\ \\=x^3-5x^2-3x^2+15x+2x-10\\ \\=x^2(x-5)-3x(x-5)+2(x-5)\\ \\=(x-5)(x^2-3x+2)

Now factor the quadratic in brackets:

x^2-3x+2\\ \\=x^2-2x-x+2\\ \\=x(x-2)-(x-2)\\ \\=(x-2)(x-1)

Hence,

f(x)=(x-5)(x-2)(x-1)

The x-intercepts are points at which y = 0, so

(x-5)(x-2)(x-1)=0\\ \\x-5=0\ \text{or}\ x-2=0\ \text{or}\ x-1=0\\ \\x=5\ \text{or}\ x=2\ \text{or}\ x=1

The y-intercepts are points at which x = 0, so

y=0^3-8\cdot 0^2+17\cdot 0-10=-10

4 0
3 years ago
Read 2 more answers
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