There are 44 books per shelf and there are 8 shelves 1/4 of these books are novels.How many novels will there be??

To meet the city ordinance's requirement, River City needs at least 874 police officers, determined by dividing the population of 410,300 by 470 and rounding up to the nearest whole number.

To determine the minimum number of police officers needed for the population of River City, we simply divide the city's population by the number of residents per officer as required by the ordinance. In this case, we divide 410,300 residents by the ordinance's requirement of one officer for every 470 residents.

Calculation: 410,300 residents / 470 residents per officer = approximately 873.19.

Since we cannot have a fraction of a police officer, we round up the number to the nearest whole number to ensure that we meet the minimum requirement. Therefore, River City needs at least 874 police officers.

4.7 (repeating 7's) as a fraction would be 4 7/9

Answer:

The number of blue toy cars that Jacob has is 10.

Solution:

Given:

Total number of toy cars = 16

Number of red cars = [tex]\frac{3}{8}[/tex] of the total number of cars = [tex]\frac{3}{8}\times16[/tex]

On dividing 8 and 16 we get 2 i.e. [tex]3\times2=6[/tex]

[tex]\therefore[/tex] Total red cars = 6

To find: the number of blue toy cars

Number of blue toy cars = Total number of toy cars - Number of red cars

[tex]\Rightarrow 16-6=10[/tex]

Hence, blue cars = 10

The profit-maximizing quantity for Doggies Paradise Inc. is determined by comparing marginal revenue and marginal cost for each output level and is found to be at five units, which results in a profit of $40.

To calculate the profit-maximizing quantity for Doggies Paradise Inc., we construct a table showing total revenue, marginal revenue, total cost, and marginal cost for each output level from one to five units. Given the price of $72 per dog coat, the fixed costs of $100, and the various total variable costs for each output level, we can determine the profit-maximizing quantity by comparing marginal revenue and marginal cost.

If Doggies Paradise Inc. produces and sells five units, they will achieve a profit of $40, as total revenue will be higher than total costs, indicating that the fifth unit is adding to the profits.

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Rounding 0.078 to the nearest thousandths gives us 0.078.

We have,

To round 0.078 to the nearest thousandths, we look at the digit in the thousandth place, which is the third decimal place.

The digit in the thousandth place is 8.

Now,

We will look at the digit preceding the digit in the thousandth place.

We see that,

The digit is zero which is less than 5.

So,

0.078 rounding to the nearest thousandth is 0.078 itself.

Therefore,

Rounding 0.078 to the nearest thousandths gives us 0.078.

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Answer:

Step-by-step explanation:

The volume of the cube depends on the length of its sides.

Volume can be represented by the function

V(s) = s³

Where s represents the length of one side.

Now V(3) = 27

or V(3) = 3³   will represent the volume of the cube with a side of length 3 unit.

Both given stories represents the given graph.

Given that, a person starts climbing a mountain, and then walks across a plateau, before finishing her climb to the top.

An airplane reaches its cruising altitude.

The height in the sky at which an airplane stays for most of a flight.

Cruise altitude is usually where the higher ground speed is balanced against the decrease in engine thrust and efficiency at higher altitudes.

In the graph a plateau and cruising altitude of a function is a part of its domain where the function has constant value.

Therefore, both given stories represents the given graph.

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For light: Inverse Square Law 

The signal is weaken by the inverse square of the difference of distances this means that one over the square of the difference. 

Therefore, 70000LY / 141 LY =496.45 and that squared =246462.602 times less signal, or 1/246462.602.

 2 For a circular telescope like the Arecibo radio telescope that equals Pi times the radius squared. Sensitivity of the telescope depends on its area.
The new telescope needs 246462.60 times that area to have enough sensitivity 

(150 x 150 x Pi) = 70 685 sq m area for the Arecibo telescope and that times 246462.60
= 1.74212 x 10^10

What is the diameter of a circle with that area?

 
1. Divide the area by Pi = 5.548156 x 10^9
2. Take the square root of the result to find the radius = 74485.94293

3. Multiply by 2 to find the diameter = 148971.886

Answer:  A) Triangle MNO is reflected across the y-axis and then dilated by a scale factor of 1.8 to form triangle M"N"O".

Step-by-step explanation:

We know that we prefer rigid motions to create congruent images.

There are four kinds of rigid motions:  

1) translation 2) reflection 3) rotation 4) glide reflection.

But a dilation is a transformation that creates an image having similar shape as the original, but with a different size.

So it does not create congruent images.

Hence transformations will produce similar, but not congruent, figures is :

Triangle MNO is reflected across the y-axis and then dilated by a scale factor of 1.8 to form triangle M"N"O".

Your answer would be B: A car accelerates, then maintains its speed before speeding up again.