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In-s [12.5K]
3 years ago
8

A map has a scale of 1 cm to 14 km.

Mathematics
1 answer:
Alenkinab [10]3 years ago
6 0

Answer:

Real distance between Manchester and London = 263.2 km

Step-by-step explanation:

Given that:

A map has a scale of 1 cm = 14 km

Ratio = 1 : 14

Distance from Manchester to London = 18.8 cm

Let,

x be the real distance between Manchester and London.

Ratio = 18.8 : x

As the relationship is proportional,

1 : 14 :: 18.8 : x

Product of mean = Product of extreme

14*18.8 = x

x = 263.2 kilometers

Hence,

Real distance between Manchester and London = 263.2 km

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Which statement describes the end behavior of the exponential function f(x) = 2x – 3?
charle [14.2K]
The <u>correct answer</u> is:

As x→-∞, y→-3.
As x→∞, y→∞.

Explanation:

As our values of x get further into the negative numbers, the value of 2ˣ will approach 0.  This is because raising a number to a negative exponent "flips" the number below the denominator and raises it to a power; we end up with smaller and smaller fractions, eventually so small that they nearly equal 0.  

This will make the value of the function 0-3=-3.

As x gets larger and larger (towards ∞), the value of y, 2ˣ, continues to grow as well.  Since it continues to grow exponentially, we say the value approaches ∞.
3 0
3 years ago
Read 2 more answers
Use the diagram shown. If BC = 14, AB = 11, and the perimeter of triangle ABC is 39, then what is the value of BD?
RUDIKE [14]

Answer:

BD=5.5

Step-by-step explanation:

11 divided by 2 gives you the answer

7 0
3 years ago
the average speed of a race car is 240 km/h. if the race is 200 laps long with each lap being 4.02 km, how long will the race la
shtirl [24]
Each lap = 4.02 km
 200 laps x 4.02 = 804 km total

804 km / 240 km/h = 3.35 hours = 3 hours and 21 minutes

7 0
3 years ago
Which statement best describes the polynomial 2x+8?
AleksandrR [38]
A
It is a first degree polynomial (aka linear because its highest power is 1) and it has two terms (2x and 8)
It does not have eight terms and is not a monomial (one term ie 3x^2)
8 0
4 years ago
Find the slope of a line parallel to y=(2/5)x + (4/5)
Tcecarenko [31]

Answer:

So if a line was parallel it would have same slope. You can search up what slope-intercept form means. But if you have an equation like this:

y = mx+b

The slope will be m. Your question is written in the form. 2/5 = m.

The slope is 2/5

The y-intercept is 4/5

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3 years ago
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