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Mashutka [201]
3 years ago
13

A map has a scale of 1 cm : 21 km. Two cities are 3.1 cm apart on the map. To the nearest tenth of a kilometer, what is the actu

al distance corresponding to the map distance?
Mathematics
1 answer:
MatroZZZ [7]3 years ago
8 0
For the answer to the question above,
use the concept of ratio and proportion. The ratio between 1 cm to 21 km should be the same as the ratio of 3.1 cm to the actual distance. Let x be the unknown actual distance and mathematically express the situation,
 
 (1 cm/ 21 km) = (3.1 cm / x km)

This equation gives a value for x which is 65.1 km. Therefore, the answer is letter C. 
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The number of leaves that fall off a tree n days after day 1 is given by the function f (n) = 3(2)".
densk [106]

Answer:

A. On the first day, 3 leaves fall.

B. D. The number of leaves that fall on a given day is 2 times the number of leaves that fell on the previous day.

Step-by-step explanation:

Given

f(n) = 3(2)^n

Solving (a) The meaning of 3.

3 represents the initial number of leaves (i.e. the first day) and this proved as follows.

On the first day, n = 0.

Substitute 0 for n in f(n) = 3(2)^n

f(0) = 3(2)^0

f(0) = 3*1

f(0) = 3

Solving (b) The meaning of 2.

2 represents the rate which leaves fall down.

In (a)

f(0) = 3

Take n = 1

Substitute 1 for n in f(n) = 3(2)^n

f(1) = 3(2)^1

f(1) = 3*2

f(1) = 6

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4 0
3 years ago
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AysviL [449]

Answer:

C

Step-by-step explanation:

Solve the quadratic in answer choice C using the quadratic formula:

x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}.

Here a=1, b=2, and c=17.

Substitute and you'll have:

x=\frac{-b+/-\sqrt{b^2-4ac} }{2a} =\frac{-2+/-\sqrt{(-2)^2-4(1)(17)} }{2(1)}=\frac{-2+/-\sqrt{4-68}}{2)}

\frac{-2+/-\sqrt{-64} }{2}=\frac{-2+/-8i }{2}=-1+/- 4i


6 0
4 years ago
Question: can somebody help me find q
kodGreya [7K]
The answer for your question is q=2
6 0
3 years ago
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