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4 years ago

How to do question 4?

Mathematics

1 answer:

Nutka1998 [239]4 years ago

6 0

Marie states that any integer greater than 4 will always get an even number of factors.

This can be proven wrong by (for example) 12.

12 has these factors:

1 x 12
2 x 6
3 x 4

12 has an ODD number of factor pairs.

Another example is 28.

28:
1 x 28
2 x 14
4 x 7

28 has an odd number of factor pairs.

I hope this helps!

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True or False If a logarithm is written without a base it is a natural logarithm.

NikAS [45]

The answer is: False.

If a logarithm is written without a base it IS NOT a natural logarithm.

The explanation is shown below:

1. If a logarithm is written without a base, you must assume the base is 10. It is written as below:

log(x)

2. It is important to know that the base a natural logarithm is the irrational number e. It is written as below:

ln(x)

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4 years ago

In the first week of August, there were 1,060 people at an amusement

Marrrta [24]

Answer:

In second week there is percentage decrease (-ve sign) of 20% in people visiting compare to first week.

In third week there is percentage increase of 50% in people visiting compare to second week.

In fourth week there is percentage decrease of 75% in people visiting compare to third week.

Solution:

Need to determine percentage change in the number of people who went to amusement park for each week in august.

Given that,

In first week of august number of people went to amusement park let say $p_1$ = 1060

In second week of august number of people went to amusement park let say $p_2$ = 848

In third week of august number of people went to amusement park let say $p_3$ = 1272

And in fourth week of august number of people went to amusement park let say $p_4$ = 318

Percentage change from first week to second week is as follows

$\% \text { change }=\frac{p_{2}-p_{1}}{p_{1}} \times 100=\frac{848-1060}{1060} \times 100$

$=\frac{-212}{1060} \times 100=-20 \%$

So in second week there is percentage decrease (-ve sigh) of 20% in people visiting compare to first week.

Percentage change from second week to third week is as follows

$\begin{aligned} \% \text { change }=\frac{p_{3}-p_{2}}{p_{2}} \times 100 &=\frac{1272-848}{848} \times 100 =\frac{424}{848} \times 100=50 \% \end{aligned}$

So in third week there is percentage increase of 50% in people visiting compare to second week

Percentage change from third week to fourth week is as follows

$\begin{aligned} \% \text { change }=& \frac{p_{4}-p_{3}}{p_{3}} \times 100=\frac{318-1272}{1272} \times 100 =\frac{-954}{1272} \times 100=-75 \% \end{aligned}$

So in fourth week there is percentage decrease of 75% in people visiting compare to third week

5 0

4 years ago

A factory has a linear cost function f(x)= ax+b , where b represents fixed costs and a represents the labor and material costs o

dalvyx [7]

The graph line will drop down by 12. meaning your initial cost (without any labor and material costs) goes down by 12, since your unit is in thousands

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3 years ago

Find a polynomial f(x) of degree 3 that has the following zeros. -1 (multiplicity 2), 8 Leave your answer in factored form

ivolga24 [154]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

the rhombus is both rectangle and square

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3 years ago

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