Choose an object that is about the same length as a baseball bat. Explain how to estimate its length in feet.

The braking distance, in feet of a car a Travling at v miles per hour is given.

irakobra [83]

The braking distance is the distance the car travels before coming to a stop after the brakes are applied

a. The braking distances are as follows;

The braking distance at 25 mph, is approximately 63.7 ft.

The braking distance at 55 mph, is approximately 298.35 ft.

The braking distance at 85 mph, is approximately 708.92 ft.

b. If the car takes 450 feet to brake, it was traveling with a speed of 98.211 ft./s

Reason:

The given function for the braking distance is D = 2.6 + v²/22

a. The braking distance if the car is going 25 mph is therefore;

25 mph = 36.66339 ft./s

$D = 2.6 + \dfrac{36.66339^2}{22} = 63.7 \ ft.$

At 25 mph, the braking distance is approximately 63.7 ft.

At 55 mph, the braking distance is given as follows;

55 mph = 80.65945 ft.s

$D = 2.6 + \dfrac{80.65945^2}{22} \approx 298.35 \ ft.$

At 55 mph, the braking distance is approximately 298.35 ft.

At 85 mph, the braking distance is given as follows;

85 mph = 124.6555 ft.s

$D = 2.6 + \dfrac{124.6555^2}{22} \approx 708.92 \ ft.$

At 85 mph, the braking distance is approximately 708.92 ft.

b. The speed of the car when the braking distance is 450 feet is given as follows;

$450 = 2.6 + \dfrac{v^2}{22}$

v² = (450 - 2.6) × 22 = 9842.8

v = √(9842.2) ≈ 98.211 ft./s

The car was moving at v ≈ 98.211 ft./s

Learn more here:

brainly.com/question/18591940

8 0

1 year ago

What is the remainder of 6728 divided by 70

yanalaym [24]

The remainder of 6728 divided by 70 is 8, This is because when 6728 is divided by 70, 70 goes into 6728, 96 times evenly. And there is only 8 left.

3 0

2 years ago

In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-s

Radda [10]

Answer:

68%

Step-by-step explanation:

The Standard Deviation Rule = Empirical rule formula states that:

68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.

From the question,

Step 1

We have to find the number of Standard deviation from the mean. This is represented as x in the formula

μ = Mean = 61

σ = Standard Deviation = 8

For x = 53

μ - xσ

53 = 61 - 8x

8x = 61 - 53

8x = 8

x = 8/8

x = 1

For x = 69

μ + xσ

69 = 61 + 8x

8x = 69 - 61

8x = 8

x = 8/8

x = 1

This falls within 1 standard deviation of the mean where: 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

Therefore, according to the Standard Deviation Rule, the approximate percentage of daily phone calls numbering between 53 and 69 is 68%

3 0

2 years ago

From 126 ounces to 48 ounces nearest percent

lianna [129]

That is a decrease of 78 ounces

5 0

3 years ago

The recipe for Perfect Purple Water says, "Mix 8 ml of blue water with 3 ml of red water." Jada mixes 24 ml of blue water with 9

cluponka [151]

Answer:Jada will get same shade as Perfect Purple Water

Step-by-step explanation:

STEP 1

To get the right recipe for Perfect purple water, every new mixture must have an equivalent ratio as the ideal mixture

The ideal mixture is given as

8ml blue water and 3 ml red water.

Step 2

Andre mixes 16ml blue water with 9ml red water

$\frac{8ml}{3ml}$ is not equivalent to $\frac{16ml}{9ml}$

Because dividing Andre's mixture by a common value will not give the equivalent ratio of the ideal recipe

$\frac{16ml}{9ml}$ $\frac{/}{/}$ $\frac{3}{3}$ = $\frac{5.3ml}{3ml}$

Jada mixes 24ml blue water with 9ml red water

$\frac{8ml}{3ml}$ is equivalent to $\frac{24ml}{9ml}$

Because dividing Jada's mixture by a common value gives the equivalent ratio of the ideal recipe

$\frac{24ml}{9ml}$ $\frac{/}{/}$ $\frac{3}{3}$ = $\frac{8ml}{3ml}$

This shows that Jada got the right recipe and will get same shade as Perfect Purple Water but in a higher quantity, 3 times the right recipe for Perfect Purple Water

7 0

3 years ago