What is the area of the hexagon below? 12 m2 18 in2 24 in2 48 in2

a blue whale weighs about 300,000 pounds, and a great white shark weighs about 4,000 pounds. how many times the weight of a grea

Tanya [424]

300,000 / 4,000 = 75

so the weight of the blue whale is 75 times bigger then the weight of the shark

3 0

2 years ago

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13. Write an equation for the given function given the amplitude, period, phase shift, and vertical shift.

Paul [167]

Answer:

$y=4sin(\frac{2\pi(t+\frac{4}{3}\pi ) }{4\pi } )-2$

Step-by-step explanation:

Let's start with the original function.

$y=a sin\frac{2\pi t}{T}$

We can immediately fill in the amplitude 'a' and period 'T' , as the question defines these for us, and provides values for 'a' and 'T', 4 and 4 $\pi$ respectively.

$y=4sin(\frac{2\pi t}{4\pi } )$

Now we only have phase shift and vertical shift to do. Vertical shift is very easy, you can just add it to the end of the right side of the expression. A positive value will shift the graph up, while a negative value will move shift the graph down. We have '-2' as our value for vertical shift, so we can add that on as so:

$y=4sin(\frac{2\pit }{4\pi } )-2$

Now phase shift the most complicated of the transformations. Basically, it is just movement left or right. A negative phase shift moves the graph right, a positive phase shift moves the graph left (I know, confusing!). Phase shift applies directly to the x variable, or in this case the t variable. To achieve a -4/3 pi phase shift, we need to input +4/3 pi into the function, because of the aforementioned negative positive rule. Here is what the function looks like with the correct phase shift:

$y=4sin(\frac{2\pi(t+\frac{4}{3}\pi ) }{4\pi } )-2$

This function has vertical shift -2, phase shift -4/3 $\pi$ , amplitude 4, and period 4 $\pi$ .

Desmos.com/calculator is a great tool for learning about how various parts of an equation affect the graph of the function, If you want you can input each step of this problem into desmos and watch the graph change to match the criteria.

8 0

2 years ago

One side of a square is 5n inches long. Another side is n + 16 inches long. How long is a side of the square?

LiRa [457]

Its a square.
So 5n = n + 16
Therefore 4n = 16 (taking one n from each side).
So n = 16/4 which is simplied as : 4.
Double check by putting 4 in the equation where n is, and it makes sense, so that is the right answer.
Your answer is c.

5 0

2 years ago

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How do you solve this??

DochEvi [55]

Answer:

Step-by-step explanation:

Hi Millie.

First we can realize that the number of cubes of each type does not matter, only the ratios between them. We see that if there are x yellow cubes, there are 3x blue cubes. And therefore, there are 5*3x green cubes, or 15x green cubes. This means that the cubes are in a 1:3:15 ratio, or that for every 1 yellow cube, there are 3 blue and 15 green cubes.

Now we can find the probability of picking a yellow cube. Since there are 18 non-yellow cubes for every yellow cube, this means that there is a 1/19 possibility of picking a yellow cube.

8 0

2 years ago

I need help with coming up with equation

Natali5045456 [20]

Let's call a child's ticket $c$ and an adult's ticket $a$ . From this, we can say:

$c + a = 116$ ,

since 116 tickets are sold in total.

Now, we are going to need to find another equation (the problem asks us to solve a systems of equations). This time, we are not going to base the equation on ticket quantity, but rather ticket price. We know that an adult's ticket is $17,000, and a child's ticket is thus

$\$17000 \cdot (1 - \dfrac{1}{4}) = \$12750$ .