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3 years ago

Determine the minimum and maximum for y=400 sin(2t)+1200

1 answer:

7 0

The maximum of sin(2t) is 1
and the minimum of it is -1

so the maximum of y = 400*1 + 1200 = 1600
and the minimum of y = 400*(-1) + 1200 = 800

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4 years ago

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Emily measures 3 pieces of string with the first piece measures 642 cm the second piece measures 124 cm and the third piece is 1

NeX [460]

Answer: the total length of the string is 9 meters.

Step-by-step explanation:

The total number of strings that Emily measured is 3.

The length of the first piece of string measures 642 cm.

The length of the second piece of string measures 124 cm.

The length of the third piece of string measures 134 cm.

Therefore, the total length of the 3 pieces of string would be

642 + 124 + 134 = 900 cm.

100 cm = 1 m,

Converting 900 centimeters to meters, it becomes

900/1100 = 9 meters

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3 years ago

Write an equation of the line that passes through (2,7) and is parallel to the line shown ( please help !! )

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Answer:

$y=2x+3$

Step-by-step explanation:

We will first need to determine the slope of the line shown.

We know that it passes through the two points (-2, -2) and (1, 4).

Thus, we can use the slope formula to find the slope between the two points:

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Let (-2, -2) be (x₁, y₁) and let (1, 4) be (x₂, y₂). Substitute:

$\displaystyle m=\frac{4-(-2)}{1-(-2)}=\frac{6}{3}=2$

Hence, the slope of the original line was 2.

Since we want the new line to be parallel, the slope of the new line must also be 2.

We know that the slope is 2 and it passes through the point (2, 7).

So, we can use the point-slope form:

$y-y_1=m(x-x_1)$

We will substitute 2 for m. We will also let (2, 7) be (x₁, y₁). Substitute:

$y-7=2(x-2)$

Solve for y. Distribute the right:

$y-7=2x-4$

Add 7 to both sides. Hence, our equation is:

$y=2x+3$

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3 years ago

Few months ago, Frank purchased stock for

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Answer:

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3 years ago

Justin wants to use 188 ft of fencing to fence off the greatest possible rectangular area for a garden. What dimensions should h

wariber [46]

the greatest rectangular area would actually be a square

so 188/4 = 47 feet per side

so 47ft x 47ft

area = 47^2 = 2209 square feet

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3 years ago

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