Write and solve an equation to find the speed that Brian rides his bike, if he rides ⅖ of an hour and travels 3 miles.

A car traveling east at 40.0 m/s passes a trooper hiding at the roadside. The driver uniformly reduces his speed to 25.0 m/s in

Anni [7]

Step-by-step explanation:

It is given that,

Initial speed of the car, u = 40 m/s

Final speed of the car, v = 25 m/s

Time taken, t = 3.5 s

(a) We need to find the magnitude and direction of the car’s acceleration as it slows down. It can be calculated using formula as :

$a=\dfrac{v-u}{t}$

$a=\dfrac{25-40}{3.5}$

$a=-4.28\ m/s^2$

The acceleration is in the opposite direction of motion i.e. west.

(b) Let s is the distance the car travel in the 3.5-s time period. It can be calculated using the third equation of motion as

$s=\dfrac{v^2-u^2}{2a}$

$s=\dfrac{25^2-40^2}{2\times (-4.28)}$

s = 113.9 meters

Hence, this is the required solution.

6 0

3 years ago

Find the domain of f(x)=x-9/x squared-81

vagabundo [1.1K]

$f(x)=\dfrac{x-9}{x^2-81}\\\\\text{The domain:}\\\\x^2-81\neq0\qquad\text{add 81 to both sides}\\\\x^2\neq81\to x\neq\pm\sqrt{81}\\\\x\neq-9\ \wedge\ x\neq9\\\\Answer:\ \boxed{\text{All real numbers except -9 and 9}}\to\boxed{x\in\mathbb{R}-\{-9,\ 9\}}$

7 0

3 years ago

What is the 8.356 rounded to the nearest hundredth

rodikova [14]

Answer:

8.356 rounded to the nearest hundredth=8.360

5 0

2 years ago

Read 2 more answers

Please help if u know the answers quarter ends in two days !!!

MatroZZZ [7]

Answer:

5A) radius = 9 ft

5B) diameter = 18 ft

5C) fencing length = 56.52 ft

5D) 6.35 days

Step-by-step explanation:

Radius is given when it is 9 ft of rope (outside to center of circle)

Diameter is two times radius = 18.

Circumference(fence length) = 2 * 3.14 * 9 = 56.52.

Area circle = 3.14*(9*9) = 254.34. 254.34/40 = 6.35

If my answer is incorrect, pls correct me!

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-Chetan K

7 0

3 years ago

The Venn diagram shows the information about a stamp collection. f = 100 stamps in the collection A = stamps in the 20th century

ira [324]

The probability that it is British is 0.6164 if the Venn diagram shows the information about a stamp collection. f = 100 stamps in the collection A = stamps in the 20th century B = British stamps A B. X(X - 6) х 2x + 32 28 A stamp is chosen at random.

<h3>What is the Venn diagram?</h3>

It is defined as the diagram that shows a logical relation between sets.

The Venn diagram consists of circles to show the logical relation.

We have:

f = 100 stamps in the collection

A = stamps in the 20th century

B = British stamps

We can make a linear equation to solve for x as the total stamps are 100 in the collection.

$\rm x(x-6)+x+2x+32= 100\\\\\rm x^2-6x+x+2x+32 = 100\\\\\rm x^2-3x-68 = 0$

After solving x = 9.88, or x = -6.88

Probability can't be negative so neglecting the negative ones

x = 9.88

The probability that it is British:

$=\rm \frac{x +2x + 32}{100}$

$=\rm \frac{9.88 +2(9.88) + 32}{100}$

= 61.64/100

= 0.6164

Thus, the probability that it is British is 0.6164 if the Venn diagram shows the information about a stamp collection. f = 100 stamps in the collection A = stamps in the 20th century B = British stamps A B. X(X - 6) х 2x + 32 28 A stamp is chosen at random.

Learn more about the Venn diagram here:

brainly.com/question/1024798

#SPJ1

7 0

2 years ago