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3 years ago

A student said that since -9 is less than 4, then |-9| is less than |4|. Is the student correct? Explain why or why not.

2 answers:

4 0

No, that is not true. The absolute value is the distance a number is from zero. The distance of -9 to 0 is 9. 9 is not less than 4.

bazaltina [42]3 years ago

3 0

Answer:

No.

Step-by-step explanation:

They are not correct because the "| |" signs mean absolute value. What ever is inside the signs must be positive. So -9 becomes 9 and 9 is greater than 4. So, the student is not correct.

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The school talent show is 92 minutes long. Acts in the talent show are each about 4 minutes long. How many acts should there be?

valentina_108 [34]

Answer:

23 acts

Step-by-step explanation:

This is a division problem.

92/4 = 23

Answer: 23 acts

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3 years ago

315,728 rouned to the nearest ten thousand

Masja [62]

Answer:

320,000 is the answer

Step-by-step explanation:

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3 years ago

A population of 1,500 insects grows exponentially by a factor of 3 every week. Select all equations that represent or approximat

Andreas93 [3]

Answer:

FV(p)= PV*(1 + g)^t

Step-by-step explanation:

Giving the following information:

Number of insects (PV)= 1,500

Increase rate= 3 weekly

First, we need to calculate the daily growth rate:

Daily rate (g)= [3^(1/7)] - 1

Daily rate (g)= 0.16993

Now, by using the following formula, we can determine the population p in any given day t:

FV(p)= PV*(1 + g)^t

For, example after 7 days:

FV(p)= 1,500*(1.16993^7)

FV(p)= 4,500

For example, after 10 days:

FV(p)= 1,500*(1.16993^10)

FV(p)= 7,206

4 0

3 years ago

Find the exact area of a circle with a dimeter of 5 yards. Use 3.14 for pi

kenny6666 [7]

Answer:

$A = 6.25(pi)$

$A$ ~ $19.63495$

Step-by-step explanation:

The formula for finding the area of a circle is;

$A = (pi)r^2$

Where ( $A$ ) represents the area of the circle, ( $pi$ ) represents the value ( $3.1415...$ ) and ( $r$ ) represents the radius of the circle. As per its definition, the diameter is the largest cord or line segment that can be drawn through a circle, the diameter always passes through the center of a circle. The radius ( a line segment that can be drawn from the center of the circle to any side of the circle) is always half of the diameter.