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2 years ago

Is 9.373 a repeating decimal? Is it rational? Explain your reasoning.

2 answers:

6 0

its is not a repeating decimal and it is a rational number because a rational number is a number that does not have repeating decimal but a irrational number does have repeating decimal

-BARSIC- [3]2 years ago

4 0

Answer:

The given number is rational number.

Step-by-step explanation:

We are asked to find whether 9.373 is a repeating decimal.

Since we cannot see a bar on the digits after decimal, so our given number is not a repeating decimal.

We know that a number is rational number, when it can be represented as a fraction.

We can represent our given number as a fraction by multiplying and dividing by 1000 as:

$9.373\times \frac{1000}{1000}=\frac{9373}{1000}$

Therefore, our given number is a rational number.

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evaluate f(6) and f(6.1) and use the results to approximate f '(6). (round your answer to one decimal place.) f(x) = x(5 − x)

mote1985 [20]

F(6) = 6(5 - 6) = 6(-1) = -6
f(6.1) = 6.1(5 - 6.1) = 6.1(-1.1) = -6.71

f'(6) ≈ (-6.71 - (-6))/(6.1 - 6) = -0.71/0.1 = -7.1

4 0

2 years ago

OABC is a tetrahedron and OA=a, OB=b, and OC=c. The point P and Q are such that OA =AP and 2OB = BQ. The point M is a midpoint o

serg [7]

Solution:

Let OA=a, OB=b, and OC=c

Then OP=2a and OQ=3b

OA+AB=OB ⇒ AB=b-a

OP+PQ=OQ ⇒ PQ = 3b-2a

OC+CQ = OQ ⇒ CQ = 3b-c

$QM= -\frac{1}{2} PQ = a-\frac{3}{2}b$

$OM=OQ+QM = 3b + a-\frac{3}{2}b = a+\frac{3}{2}b$

$OM+MB=OB=>MB = b-(a+\frac{3}{2}b) = -a-\frac{1}{2}b$

(i) AB = b-a

(ii) PQ = 3b-2a

(iii) CQ = 3b-c

(iv) QM = $a-\frac{3}{2}b$

(v) MB = $-a-\frac{1}{2}b$

(vi) OM = $a+\frac{3}{2}b$

5 0

2 years ago

What is the solution to the proportion 42 over 56 equals 12 over x ? x =_______

levacccp [35]

42 12
—- = —-
56 x

Simplified:

3 12
— = —-
4 x

Multiply both sides by 4:

3 = 48
—-
x

Multiply both sides by x:

3x = 48

Divide both sides by 3:

x = 16

3 0

2 years ago

Henry works at a warehouse where he earns $23.56 per hour. How much money will Henry earn after working for 37 hours and 42 minu

Burka [1]

Answer:

$888.21

Step-by-step explanation:

We'll break this problem into two chunks.

First, find the number of dollars Henry gets after working for 37 hours. Since he gets paid $23.56 per hour, all you do is multiply how many hours he's worked (37) by the rate he gets paid (23.56) which gets you $871.72.

Second, adding 42 minutes onto the 37 hours. Since there are 60 minutes in one hour, all you have to do is divide 42 minutes by 60 minutes to get how much of 42 minutes is 1 hour, which is 0.7. Multiply 0.7 by 23.56 (the rate he gets paid per hour) and you have $16.49.

Adding the two sums gets you 888.21 dollars in total.

8 0

2 years ago

A student raises her grade average from a 75 to a 90. What was the percent of increase

son4ous [18]

This can be solved algebraically. Before we start, as context, to find a percentage you multiply by the percentage/100.

$75*x=90 \\ x= \frac{90}{75} \\ \\ \boxed{x=1.2}$

This tells us that 90 is 120% of 75. However, your question wants us to find the <em>increase</em>, therefore we don't need that 100.
Therefore, the increase is 20%.

4 0

2 years ago