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seraphim [82]
3 years ago
7

Fill in the blanks with two consecutive integers to complete the following inequality.

Mathematics
2 answers:
Andreyy893 years ago
8 0

Answer:

9 < √97 < 10

Step-by-step explanation:

√97 is a little less than √100

Which is 10

9 < √97 < 10

baherus [9]3 years ago
4 0
<h3>Answer:  9 < √97 < 10 </h3>

=====================================================

Explanation:

Consider that 81 < 97 < 100 is a true statement. Note the 81 and 100 are perfect squares such that 81 = 9^2 and 100 = 10^2

We can apply the square root to all three sides to get the following

81 < 97 < 100\\\\\sqrt{81} < \sqrt{97} < \sqrt{100}\\\\\sqrt{9^2} < \sqrt{97} < \sqrt{10^2}\\\\9 < \sqrt{97} < 10\\\\\text{The number }\sqrt{97} \text{ is between 9 and 10}\\\\

Using a calculator, we can help verify this

\sqrt{97} \approx 9.85

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Answer:

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Step-by-step explanation:

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Add them and you get that answer.

7 0
3 years ago
Read 2 more answers
Determine whether the sequence converges or diverges. If it converges, give the limit.
Arte-miy333 [17]
<span>the sequence is geometric, with the common ratio being 1/6 (48 * 1/6 = 8

The formula for a geometric sequence is cr^n where "c" is a constan</span>t <span> and "r" is the common ratio 
=48(1/6)^n. 

A geometric series converges only if the absolute value of the common ratio is < It diverges if the ratio is >or equal to 1.
 the ratio is 1/6, so the sequence converges. 

Now in this case, the limit seems to approach 0,
 values can only keep getting smaller.
 If the limit approaches 0, then the series will converge to a definite sum
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series converges, has a limit of 0,
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hope this helps</span>
6 0
3 years ago
A toll bridge charges $1.00 for passenger cars and $2.25 for other vehicles. Suppose that during daytime hours, 60% of all vehic
lora16 [44]

Answer:

Total revenue = 13.5 + 9 = $22.5

Step-by-step explanation:

The toll charges $1.00 for passenger cars and $2.25 for other vehicles. During daytime hours  60% of all the vehicles are passenger vehicles.

A particular daytime period 15 vehicle crossed the bridge. Recall that during daytime period, 60% of all the vehicles are passenger vehicles . Therefore,

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Passenger vehicles = 60/100 × 15

Passenger vehicles = 900/100

Passenger vehicles = 9

9 of the vehicles are passenger vehicle and the charges for passenger cars is $1.00. other vehicle is $2.25.

revenue for passenger cars = 1 × 9 = $9

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Total revenue = 13.5 + 9 = $22.5

8 0
3 years ago
The parabola y =x^2 is scaled vertically by a factor of 5/2
NNADVOKAT [17]

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7 0
3 years ago
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What is the surface area of this right rectangular prism?
horrorfan [7]
Surface=2(5 x 4)+2(4 x 7)+2(5 x 7)=2(20)+2(28)+2(35)=40+56+70=166

Answer: 166 cm²
5 0
3 years ago
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