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NeTakaya
3 years ago
10

Let the function f(x) have the form fx) = Acos(x+C). To produce a graph that matches the one shown below, what must the value of

A be?

Mathematics
1 answer:
slava [35]3 years ago
8 0

Answer:

B. 4

Step-by-step explanation:

The given function is of the form:

f(x) = A \cos(x+C).

A is called the amplitude of the given function.

We can read from the graph that, the function ranges between:

-4 and 4

This implies that:

|A| = 4

Therefore the amplitude of the function is 4.

Hence the value of A must be 4.

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A train to New York city leaves a station every 7 minutes. Another train to Boston leaves the station every 6 minutes. Suppose i
Virty [35]

Answer:

7:12 a.m

Step-by-step explanation:

Given that:

Train to New York city leaves station every 7 minutes

Train to Boston leaves station every 6 minutes

Current time = 6:30 a.m

Time both will leave station together is obtained by finding the least common multiple of 6 and 7

Multiples of ;

6 = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60,...

7 = 7, 14, 21, 28, 35, 42, 49, 56, 63, 70,...

The least common multiple of 6 and 7 is 42.

Hence, both trains will leave the station together after 42 minutes ;

Current time + 42 minutes

6:30 a.m+ 42 minutes = 7:12 a.m

7 0
3 years ago
Find the missing side. Round to the nearest tenth.
Firdavs [7]

Answer: <em>23.7</em>

Step-by-step explanation:

<em>Let's calculate the acute angle at the base of the triangle:</em>

<em>180° - 90° - 40° = 50°</em>

<em>Find side x:</em>

\dfrac{sin \: 90^{o} }{31} =\dfrac{sin \: 50^{o} }{x}\\\\sin \: 90^{o} \cdot x=sin \: 50^{o} \cdot 31\\\\sin \: 90^{o} =1\\sin \: 50^{o} \approx 0.766\\1 \cdot x =0.766 \cdot 31\\x=23.746\\23.746 \approx 23.7

5 0
2 years ago
The owner invested personal equipment in the business. To record this transaction,
Artemon [7]
Debit equipment and credit capital 
7 0
3 years ago
Can someone please help me with this?
NARA [144]
The answer is 9 because if you find the two side lengths and find the area of the square then divide it by 2 it equals 9
5 0
3 years ago
Read 2 more answers
the scale on a map is stated as 1:250000 two villages are 9 cm apart on the map how far from each other are the two villages in
Karolina [17]

Answer:

22.5 kilometers

Step-by-step explanation:

we know that

The scale drawing is

1:250,000

That means

1 unit on a map represent 250,000 units in the actual

or

1 cm on a map represent 250,000 cm in the actual

or

1 cm on a map represent 2,500 m in the actual

or

1 cm on a map represent 2,5 km in the actual

therefore

using proportion

Find out how much represent 9 cm apart on the map

\frac{1}{2.5}\ \frac{cm}{km}=\frac{9}{x}\ \frac{cm}{km}\\\\x=9(2.5)\\\\x=22.5\ km

7 0
3 years ago
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