What is the volume of the square pyramid, in cubic inches?

Answer:

[tex]y=12.5 sin(180\pi x-\frac{\pi}{2})+13[/tex]

Step-by-step explanation:

In order to solve this we can start by drawing a sketch of the problem (see attached picture)

So fist, let's take the general form of a sinusoidal movement:

[tex]y=Asin(\omega x+\phi)+b[/tex]

where:

A= amplitude

[tex]\omega[/tex]= angular frequency

x= time

[tex]\phi[/tex] = horizontal shift

b= vertical shift.

In this case, the amplitude will be the maximum distance between the center of the wheel and the highest or lowest point of the trajectory, in this case:

A= 13in - 0.5in =12.5 in

The angular frequency is how many radians the wheel will turn in a minute, so we get:

[tex]\omega=\frac{90 rev}{min}*\frac{2\pi rad}{1 rev}[/tex]

[tex]\omega=180\pi rad/min[/tex]

Generally, the sin function will start at the center of the circular movement. In this case, since it starts on the lowest point, we can say that the graph moves right by [tex]\frac{\pi}{2} rad[/tex], so in this case:

[tex]\phi=-\frac{\pi}{2}[/tex]

and finally, the vertical shift is the distance between the center of the circular movement and the ground so in this case:

b=13in

so when putting it all together we get our equation to be:

 [tex]y=12.5 sin(180\pi x-\frac{\pi}{2})+13[/tex]

Answer:

The answer for this question is:

About 566 lemings

Step-by-step explanation:

Answer:

A.about 566

Step-by-step explanation:

Answer:

1 1/2 teaspoons!

Step-by-step explanation:

Answer:

1 1/2 teaspoons

Step-by-step explanation:

3/4 is to 1 1/8 as 1 is to x

converting 1 1/8 to an improper fraction gives:  

3/4 is to 9/8 as 1 is to x

  (3/4)/(9/8) = 1/x

cross multiply

(3/4)x = 9/8

multiply both sides by 4/3

x = (9/8)(4/3)

x = = 3/2 = 1 1/2

1 1/2 teaspoons of salt are needed

Step-by-step explanation:

[tex] \frac{6}{4.5} = \frac{4}{x} \\x \times 6 = 4 \times 4.5 \\ x = \frac{4 \times 4.5}{6} \\ x = \frac{18}{6} \\ x = 3[/tex]

Answer:

Solution:

Mass of body, m= 10kg

velocity, v= 60m/s

Now,kinetic energy on earth= potential energy at a that point [energy conservation]

so, kinetic energy= 1/2*m* v^2

= 1/2* 60(60)^2

= 30* 60*60

= 108000 joules

Answer:

70%

Step-by-step explanation:

Given that,

Cost price of the stock = $2.98 per share

Sold price of the stock = $0.88  per share

We need to find the percent decrease in the stock. It can be done as follows :

[tex]\%=\dfrac{2.98-0.88}{2.98}\times 100\\\\=70.46\%[/tex]

or

= 70%

So, the decrease in the stock is equal to 70 %.

Answer:

0.1875 miles (or 3/16 of a mile)

Step-by-step explanation:

In order to make the math easier for calculating the distance, the values have to be calculated to whole hours.

1.75*2 = 3.5

2.5 * 3 = 7.5, 7.5/2 = 3.75

Now, I divide the whole hours into quarters

3.5/4 = 0.875

3.75/4 = 0.9375

Multiply both values by 3 to get the distance after 3/4 of an hour

0.875 = 2.625

0.9375 = 2.8125

remove the smaller value from the larger value

2.8125 - 2.625 = 0.1875

I might have used a more over-complicated method than what you might have been taught, but it should be just as efficient. Good luck with your assignment!

Answer:

D

Step-by-step explanation:

the pattern is -6 to get the next number

Answer:

4000 grams.

Step-by-step explanation:

Answer:

4000 grams

Step-by-step explanation:

1 Kilogram = 1000 grams

So, 4 Kilograms = 4000 grams

Answer: [tex]ay=2(0.5^{x})[/tex]

Step-by-step explanation:

A y = 2(0.5)^x

Answer: correct answer choice is B

Step-by-step explanation:

did it on math nation

Answer: x^(2)y(5+6y^(2)-3xy)

Step-by-step explanation: Factor x^(2)y out of 5x^(2)y + 6x^(2)y^(3)- 3 x^(3)y^(2)

brainliest or a thank you please! :) <33

Answer:

1. Equal. 2. 1500

Step-by-step explanation:

6 x 16 = 96 + 11= 117

3/4 x 2000 = 1500

Answer:

12 days

Step-by-step explanation:

3/8=.375

16.5 divided by 1.375 equals to 12. I hope that helps.

9514 1404 393

Answer:

  (x, y) = (19, 20)

Step-by-step explanation:

The coefficients of y are opposites, so we can add the two equations to eliminate y.

  (-3x +8y) +(-5x -8y) = (103) +(-255)

  -8x = -152

  x = 19 . . . . . . . divide by -8

Substituting into the first equation, we have ...

  -3(19) +8y = 103

  8y = 160

  y = 20

The solution is (x, y) = (19, 20).

Answer:

Step-by-step explanation:

B is the correct answer.

Answer:

B

Step-by-step explanation:

im smart

Answer:11x + 15y + 23

Step-by-step explanation:

Answer:

30 red and 54 green jelly beans

Step-by-step explanation:

Please mark brainliest  :)

Answer:6000 cm3

Step-by-step explanation:You do 20x10x15=3000. Then you do 3000x2= 6000. So your answer will be 6000cm3

Answer:

1/9 i think not sure

Step-by-step explanation:

Answer:

1/9

Step-by-step explanation:

Well the chance of picking 3 one time is 1/3

The chance of picking 3 the second time is 1/3

So at first, we've succeeded with probability 1/3 and failed with probability 2/3

We don't care what happens next if we've failed - we already failed.

So we've reached the "picking the second card with hope in our hearts" 1/3 of the time and we again succeed with 1/3 of a chance, so the total probability of success is 1/3 * 1/3 = 1/9

Think of the options:

3 and 3 - probability 1/3 * 1/3 = 1/9

3 and non-3 - probability 1/3 * 2/3 = 2/9

non-3 and 3 - probability 2/3 * 1/3 = 2/9

non-3 and non-3 - probability 2/3 * 2/3 = 4/9

Note that all the options sum to 1 - as probabilities of all options always should.

Answer:

finding the product of 9,10,and 9

810

Step-by-step explanation:

Pretty sure it´s 12.25

61.25 /5=12.5

you can check this by doing 12.5 x 5 ; 15 or 30 and you´ll get the same product in monthly earned

Answer: 4.7140452079

Step-by-step explanation: (√200) ÷ (3)

Answer:

3√2/20

decimal form- 0.21213203435

9514 1404 393

Answer:

  y +3 = 1/2(x +4)

Step-by-step explanation:

The slope is given by the formula ...

  m = (y2 -y1)/(x2 -x1)

  m = (1 -(-3))/(4 -(-4)) = 4/8 = 1/2

The point-slope form of the equation for a line is ...

  y -y1 = m(x -x1)

Filling in the known values, this is ...

  y -(-3) = 1/2(x -(-4))

  y +3 = 1/2(x +4)

Answer:

B

Step-by-step explanation:

Answer:

20 apples

Step-by-step explanation:

you do 36×5/9

36÷9=4

4×5=20

Answer:

400 pick mine as Brainlest

Step-by-step explanation:

Answer:

It is 400

Step-by-step explanation:

If you reverse it to make it easier on yourself.

500-100 =400