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Nata [24]
3 years ago
12

What is the simplified form of the following expression?

Mathematics
1 answer:
Lelechka [254]3 years ago
7 0

3^√100x/5

If you want to make math problems I recommend the Photomath app.

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Biking at 10 mph, it takes Kristen 1/4 hour to reach the train station to go to work. Kristen then takes the train to work, and
11Alexandr11 [23.1K]

Answer:

Kirsten travels 7.5 miles to go to work.

Step-by-step explanation:

Bike: 10 MPH

Time: 1/4 Hour

1/4 of 10 = 2.5

Distance travelled on bike: 2.5 miles

Train: 20 MPH

Time: 1/4 Hour

1/4 of 20 = 5

Distance travelled by train: 5 miles

Add the distances together.

5 + 2.5 = 7.5

7.5 miles

3 0
3 years ago
The distance d (in miles) that you can see to the horizon with your eye level h feet above the water is given by d=3h2−−−√. You
liubo4ka [24]

Answer: He cannot see a ship that is 4.5 miles away.

Step-by-step explanation:

Since we have given that

d=3\sqrt{h}

Here, h is the eye level above the water

d is the distance away.

If h = 12 feet

We will get :

d=3\sqrt{12}\\\\d=3\times 2\sqrt{3}\\\\d=6\sqrt{3}\\\\d=10.39

Hence, it is 10.39 feet away when eye level is 12 feet above the water.

Therefore , he cannot see a ship that is 4.5 miles away.

7 0
3 years ago
In the coordinate plane, what is the length of the line segment that connects points at (5,4) and (-3,-1)
baherus [9]

Answer:

9.434 units

Step-by-step explanation:

Given data

points (5,4) and (-3,-1)

x1= 5

y1= 4

x2= -3

y2= -1

The expression for the distance between two points is

d=√((x_2-x_1)²+(y_2-y_1)²)

substitute

d=√((-3-5)²+(-1-4)²)

d=√((-8)²+(-5)²)

d=√64+25

d=√89

d=9.4339

d= 9.434 units

Hence the distance between the points is 9.434 units

8 0
3 years ago
Today, the population of Canyon Falls is 22,500 and the population of Swift Creek is 15,200. The population of Canyon Falls is d
deff fn [24]

Answer:

  10 years

Step-by-step explanation:

Let c and s represent the populations of Canyon Falls and Swift Creek, respectively. For time t in years, the respective populations are ...

  c = 22500 -740t

  s = 15200 +1500t

We want to find t when s = 2c.

  s = 2c

  15200 +1500t = 2(22500 -740t)

  2980t = 29800 . . . . . add 1480-15200, simplify

  29800/2980 = t = 10 . . . . divide by the coefficient of t

The population of Swift Creek will be double that of Canyon Falls in 10 years.

7 0
4 years ago
What is the approximate area of the triangle?<br><br> A)12.5<br> B)18<br> C)21.5<br> D)31
dalvyx [7]

Answer:

21.5

Step-by-step explanation:

Counting the full squares: 16

Counting the squares that are more than 1/2:  6

The best estimate would be 21.5

6 0
3 years ago
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