Bob Cooper was born in 1900. By 1930 he had 3 sons, all with the Cooper last name. By

To a police investigator, skid marks evidence is extremely important in determining how vehicles moved in a collision. Skid mark

Svet_ta [12734]

The given formula for calculating the speed of a car is:

$S=\sqrt{30\times D\times f\times n}$

Where: S = speed in miles per hour

30 = a constant value in the equation

D = length of the skid marks in feet

f = drag factor for the road surface

n = braking efficiency expressed as a percentage

In this scenario, we know the average skid length is 60 feet, so D=60.

The Drag Factor is noted as f=0.75.

Additionally, the braking efficiency is 100% or n=1.

Plugging these values into the speed formula yields:

$S=\sqrt{30\times 60\times 0.75\times 1} =\sqrt{1350}=\sqrt{36.74} \approx37$ miles per hour.

Among the provided options, the third option, which indicates 37, is correct.

8 0

2 months ago

The zoo sold 250 admission tickets on Tuesday. Some of the tickets were child tickets and the rest were adult tickets. A child's

Inessa [12570]

Answer:

Step-by-step breakdown:

Let c denote the quantity of child tickets sold.

Let a denote the quantity of adult tickets sold.

On Tuesday, the zoo sold a total of 250 admission tickets. This total consists of child tickets and adult tickets, resulting in the equation:

c + a = 250 - - - - - - - - - - 1

The cost for a child's ticket is $12.75, while an adult ticket costs $18.50. The total ticket sales amounting to $4739.50 indicates that:

12.75c + 18.5a = 4739.50 - - - - - - - 2

Equations 1 and 2 form the system necessary to find the number of adult tickets, a, and child tickets, c, sold.

8 0

2 months ago

Which is equivalent to RootIndex 3 StartRoot 8 EndRoot Superscript x?

Zina [12379]

To determine an equivalent for RootIndex 3 StartRoot 8 EndRoot Superscript x, we can proceed with $=2^x$

Detailed Explanation:

We aim to express RootIndex 3 StartRoot 8 EndRoot Superscript x in a different form.

In mathematical terms:

$(\sqrt[3]{8})^x$

To solve:

Notably, 8 can be broken down into 2 multiplied by itself three times = 2^3

and $\sqrt[3]{x}=x^{\frac{1}{3}}$

Using these principles:

$=((2^3)^{\frac{1}{3}})^x$

$=(2^{\frac{3}{3}})^x\\$

$=2^x$

Thus, as we find a solution to RootIndex 3 StartRoot 8 EndRoot Superscript x, it results in $=2^x$

Terms: Radical Expression

Explore more about Radical Expression at:

8 0

2 months ago

An upscale resort has built its circular swimming pool around a central area that contains a restaurant. The central area is a r

zzz [12365]

The diagram below illustrates the issue at hand.

Question 1:
The maximum area of the pool equals half the area of the circle.

To calculate the area of the circle: Area = πr², with r being half of the diameter.
Thus, Area of circle = π(60)² = 11309.73355 square feet.

Therefore, the area representing half the circle amounts to 11309.73355/2 = 5654.866... ≈ 5654.87 square feet (rounded to 2 decimal places).

Question b:

To find the pool's area, we take the circle's area and subtract the triangle's area.

The area of the circle is 11309.73 square feet.

For the triangle's area calculation: 1/2 × (60×103.92) = 3117.6 square feet.

The area of the pool thus operates as 11309.73 - 3117.6 = 7922.13 square feet.

Calculating the pool's volume: 7922.13 × 4 = 31688.52 cubic feet.

Note: Information related to the fish tank is unavailable, so the above calculation focuses solely on the entire pool's volume.

6 0

2 months ago

A factory produced 150 tons of steel in one year. The next year, the output increased to 180 tons. What is the percentage increa

Svet_ta [12734]

The increase in production is found by calculating 180 - 150 = 30 tons. The percentage rise is computed by taking 30 divided by 150, which equals 0.2 or a 20% rise.

3 0

2 months ago

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