Ken and Leah are trying to solve a science homework question. They need to find out how much a rock that weighs 4 pounds on Earth would weigh on Mars. They know they can multiply the amount the rock weighs on Earth by 0.38 to find its weight on Mars..

Answer: 23

Step-by-step explanation:

The number of times the last passenger who boarded the ride make a complete loop on the Ferris wheel is 22.

A trigonometric equation is one that involves one or more of the sixs sine, cosine, tangent, cotangent, secant, and cosecant. Some trigonometric equations, like x = cos x, can be solved only numerically, through successive approximations.

Given that, Sine function model: h=-82.5cos3π(t)+97.5 where h is the height of the passenger above the ground measure in feet and t is the time of operation of the ride in minutes.

The duration of the ride is 15 min.

Let the period be T, then we can write:

h=-82.5.cos(2πt/T)+97.5

So, we must have 2π/T =3π or T=2/3 minutes

Number of complete periods

Floor(15/T)=22

Therefore, the number of times the last passenger who boarded the ride make a complete loop on the Ferris wheel is 22.

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"Your question is incomplete, probably the complete question/missing part is:"

The Colossus Ferris wheel debuted at the 1984 New Orleans World’s Fair. The ride is 180 ft tall, and passengers board the ride at an initial height of 15 ft above the ground. The height above ground, h, of a passenger on the ride is a periodic function of time, t. The graph displays the height above ground of the last passenger to board over the course of the 15 min ride.

The duration of the ride is 15 min.

How many times does the last passenger who boarded the ride make a complete loop on the Ferris wheel.

Answer:

48

Step-by-step explanation:

take 60% of 80, or 80 x .6

Answer:

[tex]\frac{13m}{4}[/tex]

Step-by-step explanation:

"the product of 13 and a number M" should be written as 13m.

To get a fourth of the produce we would need to divide it by four.

A fourth of the product of 13 and a number M should be [tex]\frac{13m}{4}[/tex] .

Hope this helps.

Answer:

798,000

Step-by-step explanation:

Simplify all the exponents

8×10^5

=8×100,000

=800,000

2×10^3

=2×1,000

=2,000

Difference=800,000-2,000

=798,000

Answer:

-3

Step-by-step explanation:

take a set of points (2,3) (3,-6)

[tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{-6-(-3)}{3-2}[/tex]

[tex]\frac{-3}{3-2}[/tex]

[tex]\frac{-3}{1}[/tex]

-3

Answer:

1:3

Step-by-step explanation:

To simplify the ratio 16:32, we find the greatest common divisor of 16 and 32, and then we divide 16 and 32 by the greatest common divisor.

The greatest common divisor that you can use to simplify 16:32 is 16. Which means the answer to ratio 16:32 simplified is: 1:2

Hope it helps

Answer:

Y-intercept: -3

Equation: y = -2/3x -3

Step-by-step explanation:

Slope intercept equation: y = mx + b, m is the slope and b is the y-intercept

Substitute m with -2/3, your equation should now be y = -2/3x + b

To find the y-intercept, plug in the point (-12,5) and solve for b.

1. 5 = -2/3(-12) + b

2. 5 = 8 + b

3. b = 8 - 5

4. b = 3

Answer:50

Step-by-step explanation:

15 : 5 = 3

250  : 5 = 3

Answer:

The correct answer is approximately 20 ft !

Please mark me brainliest if you are able to do it :)

the answer is 20,336 ft

6,200 mm is 6,2 m and you multiply it with 3,28 feet then you get the answer.

Answer:

Below.

Step-by-step explanation:

f) (a + b)^3 - 4(a + b)^2  

The (a+ b)^2 can be taken out to give:

= (a + b)^2(a + b - 4)

= (a + b)(a + b)(a + b - 4).

g)  3x(x - y) - 6(-x + y)

=  3x( x - y) + 6(x - y)

= (3x + 6)(x - y)

= 3(x + 2)(x - y).

h) (6a - 5b)(c - d) + (3a + 4b)(d - c)

=  (6a - 5b)(c - d) + (-3a - 4b)(c - d)

= -(c - d)(6a - 5b)(3a + 4b).

i)  -3d(-9a - 2b) + 2c (9a + 2b)

= 3d(9a + 2b) + 2c (9a + 2b)

=  3d(9a + 2b) + 2c (9a + 2b).

= (3d + 2c)(9a + 2b).

j)  a^2b^3(2a + 1) - 6ab^2(-1 - 2a)

=  a^2b^3(2a + 1) + 6ab^2(2a + 1)

= (2a + 1)( a^2b^3 + 6ab^2)

The GCF of a^2b^3 and  6ab^2 is ab^2, so we have:

(2a + 1)ab^2(ab + 6)

= ab^2(ab + 6)(2a + 1).

Step-by-step explanation:

Statement | Reason

CB=AB         Given

DBC=DBA   Given

DB = DB      Reflexive Property

/_\ DBC

=~

/_\DBA        SAS

Sorry for the formatting the =~ means congruent.

Suppose that one of sides is x :

Area = x²

thus :

[tex]146.41 = {x}^{2} [/tex]

[tex]x = \sqrt{146.41} [/tex]

[tex]x = 12.1[/tex]

_____________________________________________

Perimeter = 4x

[tex]p = 4 \times 12.1[/tex]

[tex]p = 48.4[/tex]

The Perimeter of Square is 48.4 m.

The Area of square is the product of the side.

Area of Square = side x side

and, The Perimeter of Square is 4 times the side of square

Perimeter of Square = 4 x side

Given:

Area of Square = 146.41 m²

Now, Area of Square = side x side

Area of Square  = side²

side² = 146.41 m²

side = √146.41 m²

side = 12.1 m

Now, the Perimeter of Square = 4 x side

                                                   = 4 x 12.1

                                                   = 48.4 m.

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Answer: M  = [tex]\frac{x-2y}{x+y}[/tex]  

Step-by-step explanation:

[tex]\frac{M(x+y)+4y}{x^{2}-xy-y^{2} } =\frac{(x+2y)}{x^{2} -xy-y^{2} }[/tex]

M (x + y) + 4y = x + 2y (Multiply [tex]x^{2} - xy-y^{2}[/tex] in both sides)

M (x + y)  = x + 2y - 4y

M (x + y)  = x - 2y  (Divide (x+y) from both sides)

M  = [tex]\frac{x-2y}{x+y}[/tex]  

Answer:

1

Step-by-step explanation:

= 21/21

= 1

Answer:

90

Step-by-step explanation:

let the number to be found be x then

23 [tex]\frac{1}{3}[/tex] % of x = 21  ( change mixed number to improper fraction )

[tex]\frac{\frac{70}{3} }{100}[/tex] x = 21

[tex]\frac{70}{300}[/tex] x = 21 ( multiply both sides by 300 to clear the fraction )

70x = 6300 ( divide both sides by 70 )

x = 90

Then 23 [tex]\frac{1}{3}[/tex] % 0f 90 = 21

Scott needs to work at least 30 hours to make at least $600 and buy a new computer.

Let's denote the number of hours Scott works as "x" for both babysitting and working at the grocery store.

For babysitting, he earns $12 per hour.

For working at the grocery store, he earns $8 per hour.

So, his earnings from babysitting are 12x dollars, and his earnings from working at the grocery store are 8x dollars.

He needs to make at least $600 to buy a new computer.

Therefore, we can write the equation:

12x + 8x ≥ 600

Combine the like terms:

20x ≥ 600

Now, solve for x by dividing both sides of the inequality by 20:

x ≥ 600 / 20

x ≥ 30

Hence, Scott needs to work at least 30 hours to make at least $600 and buy a new computer.

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Complete question:

"Scott earns $12 per hour babysitting and $8 per hour working at the grocery store. He wants to buy a new computer that costs at least $600. How many hours does Scott need to work, combining both jobs, to save up enough money for the new computer?"

Answer:

In Jan - 13,759

In Feb - 9,854

In both - 23,613

Step-by-step explanation:

hope it helps

Answer:

1.37 miles

Step-by-step explanation:

First, you have to find out how far Molly's brother and sister walked combined. 1.25+0.85=2.08. Now you subtract that from Molly's distance, 3.45. 3.45-2.08-1.37 miles.

Answer:

The expression is a polynomial.

Trinomial (according to the number of terms)

Step-by-step explanation:

Given the algebraic expression, 6x² + x + 1:

A term comprises of a product of numerical coefficient and one of more variables raised to powers.  Like terms have the same variables and exponents.

While a polynomial is a term (or finite sum of terms), comprising of variables with positive or zero integer exponents. Strictly defined, the terms within a polynomial expression cannot include variables as a denominator.  

A monomial is a single-termed polynomial.

A binomial is a polynomial with two terms.

A trinomial is a polynomial that has exactly three terms.

With these given definitions, we can infer that the given polynomial expression, 6x² + x + 1,  is a trinomial, given that it has three terms:

Therefore, the given expression is a polynomial containing three terms, making it a trinomial.    

Answer:

9 sides

Step-by-step explanation:

The sum of the exterior angles of a polygon = 360°

To find the number of sides n divide the sum by 40°

n = 360° ÷ 40° = 9

Answer:

1050.67213

Step-by-step explanation:

Answer:

200 x 3 - 12=588

Answer:

true

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given:

Biking only:

Motorcycling only:

Neither:

Venn diagram consists of:

Biking |  Both (Intersection) | Motorcycling  |  Neither (outside of circles)

  40                   18                         24                             18

Answer:

606060t

Step-by-step explanation:

606060 liters x t minutes = 606060t

Answer:

should be 105 right

Step-by-step explanation:

Answer:

105 sheep are spotted.

Step-by-step explanation:

42% of the 250 sheep are spotted. We would need to find 42% of 250.

250 * 0.42 = 105

105 sheep are spotted.

Hope this helps.

Answer:

I think it might be 4.

Step-by-step explanation:

:)

I found something that says 6x or something if that helps?

I hope you get it right!!!

Answer:

like:-

1/9x20 = 2 2/9

1/9-20 = 19 8/9

Step-by-step explanation:

Answer: The constant rate change would be [tex]\frac{1}{9}[/tex].

Step-by-step explanation: The general rate of change can be found by using the difference quotient formula. To find the average rate of change over an interval, enter a function with an interval: f (x) = [tex]x^{2}[/tex] , [2,3]

Write y = [tex]\frac{1}{9}[/tex]x - 20 as a function which is f (x) = [tex]\frac{1}{9}[/tex]x - 20

Consider the difference quotient formula which is [tex]\frac{f (x +h) - f (x) }{h}[/tex].

Find the components of the definition. [tex]\frac{f (x+h) = \frac{h}{9} + \frac{x}{9} - 20}[/tex]simplify then it would be [tex]\frac{f (x) = \frac{x}{9} - 20 }[/tex].

Lastly plug in all the components.

[tex]\frac{f (x + h) - f (x)}{h} = \frac{\frac{h}{9} +\frac{x}{9} - 20 - (\frac{x}{9} - 20) }{h}[/tex]

After solving all this the answer would be [tex]\frac{1}{9}[/tex]

Answer:

3

Step-by-step explanation:

(8 + 4) / 2 - 3

12 / 2 -3

6 - 3

3

Answer:

3

Step-by-step explanation:

You do the parenthesis first (8+4)

Then you divide 12 by 2 if you are following Pemdas

6 - 3 = 3

Hope this helped!