Please Answer!!!!! What is the amplitude of the sinusoidal function m(x)= -3.5 cos x

Answers

Answer 1

Answer:

Answer:

Amplitude = 3.5

Step-by-step explanation:

The amplitude of a sinusoidal function is one-half of the positive difference between the maximum and minimum values of a function.

Given the cosine function $m(x)=-3.5\cos x$

The maximum and the minimum values of the function $y=\cos x$ are 1 and -1, so the maximum and the minimum values of the function $m(x)$ are 3.5 and -3.5.

Positive difference:

$3.5-(-3.5)=3.5+3.5=7$

Half of the difference:

$(1)/(2)\cdot 7=3.5$

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John wants to magnify the image of a fire ant (4) and a crab spider (5) so they appear to be the same length. How many times their actual size would he need to magnify each image?

Answers

i think the fire ant is 5 and the crab spider is 4

A historical marker is in the shape of a parallelogram. The height is 5.7 M. Area of the marker is 22.8 m to the power of 2. What is the length of the base of the marker?

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If the area is $22.8^(2)$ and the height is 5.7...
you simply divide 22.8 by 5.7
giving you the base of 4metres

to double check try...
5.7 x 4

What is the volume of a sphere if it has a radius of 5 inches? (Use 3.14 for π.)

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the volume for this sphere would be 523.6

What is the ratio of 4.3

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The answer to the question What is the ratio of 4.3 is 4:3

Well i think is 4 to 3

I Need Help Plz And Thank You And Show All Work And Steps.Solve each system using the substitution method. Show all work and steps.

4.5.1) 2x-5y=8
x=3y-1

A. Substitute the equation that is already solved for one variable into the other equation.

B. Solve for the single variable in the one-variable equation.

C. Substitute the result from the previous step into x=3y−1 and solve for the unknown variable.

D. Write the solution as an ordered pair. E. Check the solution with the equation not used in Step C.

Answers

Answer: X=29

Step-by-step explanation:

First you substitute the x's: 2(3y-1)-5y=8

Then you open parenthesis:6y-2-5y=8

Combine like terms: y-2=8

Bring the 2 to the other side: y=10

Now you substitute the y with the answer: x=30-1

Easy equation: x=29

The answer will be x=29

What is circumference if diameter is 14 feet

Answers

The circumference is the amount of length around the circle the diameter is the distance across the middle of the circle, first off you need the formulas which are to find the circumference of a circle use the formula C=2 * (pi) * r to find the diameter use the formula D=2 * (pi) and remember that the radius of a circle is the distance from the perimeter of the circle to the center of the circle (half the diameter) so half of 14 equals 7,so in close C= 2 * 3.14 * 7 = 43.96. Enjoy!=)

The circumference of a circle if a diameter is 14 feet is: 43.96

BECAUSE:
The formula to solve circumference is:
3.14 (pi) × diameter = circumference

Plug in diameter with 14:
3.14 × 14 = 43.96

Hope this helps!

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