How many degrees in a half rotation

A fisherman can row upstream at 5mph and downstream at 10mph he started rowing upstream until he got tired and then rowed downst

AlekseyPX

We have been given that the upstream speed is $5 mph$ and the down stream speed is $10mph$ .

Let the fisherman traveled a distance of x miles.

The total time of the trip is 6 hours.

Relations between speed (s), time (t) and distance (d) is $s = \frac{d}{t}$

Hence, $t= \frac{d}{s}$

Time upstream + time downstream = 6

$\frac{x}{5} +\frac{x}{10} =6$

lcm = 10

$\frac{2x+x}{10} =6$

=> $\frac{3x}{10} =6$

Cross multiplying, $3x= 60$

x = 20 miles .. Answer.

8 0

3 years ago

A new company is in the process of evaluating its customer service. The company offers two types of sales: (1) Internet sales an

iragen [17]

Answer:

$H_A: P_{\text{Internet}}-P_{\text{Store}} > 0.10$

Step-by-step explanation:

We are given the following in the question:

Let $P_{\text{Internet}}$ be the proportion of the internet sales and $P_{\text{Store}}$ be the proportion of the store sale.

Hypothesis:

We have to conduct a hypothesis to check that the Internet sales are more than 10 percent higher than store sales.

Thus, we can design the null and alternative hypothesis as:

$H_{0}: P_{\text{Internet}}-P_{\text{Store}}\leq 0.10\\H_A: P_{\text{Internet}}-P_{\text{Store}} > 0.10$

Alternate Hypothesis:

The alternate hypothesis states that the proportion of the internet sales is greater than the proportion of store sales by 10 percent.

3 0

4 years ago

Easy question easy points

Deffense [45]

Answer:

y = - 4x - 8

Step-by-step explanation:

From the graph we get :

slope = (-8)/2 = -4

y-intercept = -8

8 0

3 years ago

Read 2 more answers

Applying Properties of Exponents In Exercise,use the properties of exponents to simplify the expression.

Mkey [24]

Answer:

$1.~e^{-2} \\2.~e^{\frac{7}{2}}\\3.~e^8\\4.~e^{\frac{-11}{2}}$

Step-by-step explanation:

We have to simplify the given exponential exponents.

Exponential Properties:

$e^0 =1\\e^a.e^b = e^{a+b}\\\\\displaystyle\frac{e^a}{e^b} = e^{a-b}\\\\(e^a)^b = e^{ab}\\\\e^{-a} = \frac{1}{e^a}$

Simplification takes place in the following manner:

a)

$(e^{-3})^\frac{2}{3}\\(e^a)^b = e^{ab}\\=e^{-3\times \frac{2}{3}}\\=e^{-2}$

b)

$(e^4)(e^{\frac{-1}{2}})\\e^a.e^b = e^{a+b}\\=e^{(4+\frac{-1}{2})} \\= e^{\frac{7}{2}}$

c)

$(e^{-2})^{-4}\\(e^a)^b = e^{ab}\\= e^{-2\times -4}\\=e^8$

d)

$(e^{-4})(e^{\frac{-3}{2}})\\e^a.e^b = e^{a+b}\\=e^{(-4+\frac{-3}{2})} \\= e^{\frac{-11}{2}}$

4 0

3 years ago

Michael timed a train using a clock. the train traveled a distance of half mile from t = 10 seconds to t = 55 seconds. what was

Alekssandra [29.7K]

Answer:

Step-by-step explanation:

The train traveled half a mile.

1 mile = 5280 ft

0.5 mile = 0.5 * 5280 ft = 2640 ft

A time from 10 sec to 55 sec is 55 sec - 10 sec = 45 seconds.

2640 ft in 45 seconds

speed = distance/time

speed = 2640 ft / 45 sec = 58.6666... ft/sec

Answer: speed = 58.7 ft/sec

3 0

3 years ago