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Firlakuza [10]
3 years ago
13

What is the amplitude of y = 4 cos 3x? oc o timmt

Mathematics
1 answer:
JulijaS [17]3 years ago
4 0

Answer:

The amplitude is 4

Step-by-step explanation:

Recall that the amplitude of a harmonic form like this one based on the cosine function is the absolute value of the coefficient that multiplies the function. In our case that coefficient is 4.

So the amplitude of this function is "4".

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A bird leaves its nest and travels 12 miles per hour downwind for x hours. On the return trip, the bird travels 2 miles per hour
elena-s [515]
3 hours

On the way there, 1.5x12 = 18
On the way back, 1.5x10 = 15
4 0
2 years ago
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I have a diameter of 6in how do i get my circumference step by step?
avanturin [10]
Equation: C=dπ
               C=6·3.14
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6 0
3 years ago
Write the expressions in standard form. SHOW ALL STEPS! The sum of 9t – 13 and the opposite of 9t.
PSYCHO15rus [73]

Answer:

-13

Step-by-step explanation:

Opposite of 9t = -9t

Taking the sum of 9t - 13 and -9t

Sum = 9t - 13 + (-9t)

Sum = 9t - 13 - 9t

Sum = 9t-9t - 13

Sum  = -13

Hence the expression in standard form is -13

7 0
3 years ago
A contractor combined x tons of a gravel mixture that contained 10 percent gravel G, by weight, with y tons of a mixture that co
White raven [17]

Answer:

The value of x would be \frac{3}{5}y or \frac{3}{8}z

Step-by-step explanation:

Given,

x tons of 10% gravel G mixture is mixed with y ton of 2% gravel G to obtain  5% gravel mixture,

Thus, gravel G in x ton + gravel in y ton = gravel G in the resultant mixture,          

⇒ 0.1x + 0.02y = 0.05(x+y),

0.1x - 0.05x = 0.05y - 0.02y

0.05x = 0.03y

\implies x = \frac{0.03}{0.05}y=\frac{3}{5}y----(1)

Now, resultant mixture is z ton,

i.e. z=x+y

\implies y = z - x

From equation (1),

x=\frac{3}{5}(z-x) = \frac{3}{5}z-\frac{3}{5}x

x+\frac{3}{5}x=\frac{3}{5}z

\frac{8}{5}x=\frac{3}{5}z

x=\frac{3}{8}z

3 0
3 years ago
What is the solution of the equation?<br><br> 35√(x+2)3+3=27
Arte-miy333 [17]

Use this rule: <em>(x^a)^b = x^ab</em>

3(x + 2)^3/5 + 2 = 27

Subtract 3 from both sides

3(x + 2)^3/5 = 27 - 3

Simplify 27 - 3 to 24

3(x + 2)^3/5 = 24

Divide both sides by 3

(x + 2)^3/5 = 24/3

Simplify 24/3 to 8

(x + 2)^3/5 = 8

Take the cube root of both sides

x + 2 = 3/5√8

Invert and multiply

x + 2 = 8^5/3

Calculate

x + 2 = 2^5

Simplify 2^5 to 32

x + 2 = 32

Subtract 2 from both sides

x = 32 - 2

Simplify 32 - 3 to 30

<u>x = 30</u>

4 0
3 years ago
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