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3 years ago

Tell how you know when you have found the prime factorazationof a number

Mathematics

2 answers:

ryzh [129]3 years ago

4 0

When you cant simplyfy it anymore

Angelina_Jolie [31]3 years ago

3 0

You wont be able to break it down/ simplify it

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Lucy's family purchased one sweatshirt and 4 t-shirts for $110. Mark's family bought three sweat-shirts and 4 t-shirts for $200.

omeli [17]

T-shirt are 20 each and sweatshirt are 30

6 0

4 years ago

A ball is dropped from a certain height. The function below represents the height f(n), in feet, to which the ball bounces at th

natali 33 [55]

Answer:

9 represents the initial height from which the ball was dropped

Step-by-step explanation:

Bouncing of a ball can be expressed by a Geometric Progression. The function for the given scenario is:

$f(n)=9(0.7)^{n}$

The general formula for the geometric progression modelling this scenario is:

$f(n)=f_{0}(r)^{n}$

Here,

$f_{0}$ represents the initial height i.e. the height from which the object was dropped.

r represents the percentage the object covers with respect to the previous bounce.

Comparing the given scenario with general equation, we can write:

$f_{0}$ = 9

r = 0.7 = 70%

i.e. the ball was dropped from the height of 9 feet initially and it bounces back to 70% of its previous height every time.

7 0

3 years ago

Using the unit circle, determine the value of cos(-150°).

elena-14-01-66 [18.8K]

<h3>Answer: $-\frac{\sqrt{3}}{2}$ </h3>

Explanation:

The identity we'll use is cos(-x) = cos(x) for any value of x.

So cos(-150) = cos(150).

Then locate the angle 150 on the unit circle. The terminal point is $\left(-\frac{\sqrt{3}}{2}, \frac{1}{2}\right)$

The x coordinate of this terminal point is the value of cos(150).

5 0

3 years ago

Read 2 more answers

Someone Please help me

Artyom0805 [142]

Answer:

6.5 hours

Step-by-step explanation:

He pays a flat fee of $65 and a rate of $40 per hour, we can set up the equation:

$65+40h=325\\40h=260\\4h=26\\h=6.5$

4 0

3 years ago

Determine the equation of the circle graphed below. ( please help me )

Brums [2.3K]

Answer:

$Equation : \\(x+3)^2 + ( y -2)^2 = 36$

Step-by-step explanation:

For standard form the circle's equation we need the centre of the circle and the radius.

Step 1: Find the centre

If the centre is not given find the end points of the diameter

and then find the mid point.

Let the end points of the diameter be : ( - 3 , 8 ) and ( -3 , -4 )

The mid-point of the diameter is :

$Mid-point = (\frac{-3 + - 3}{2}, \frac{-4+8}{2}) = (-3, 2)$

Therefore, centre of the circle = ( -3 , 2 )

Step 2 : Find radius

$Radius = \frac{Diameter }{2}$

Diameter is the distance between the end points ( -3 , 8) and ( -3 , -4 )

That is ,

$Diameter = \sqrt{(-3-(-3))^2 + ( -4 -8)^2}\\$

$= \sqrt{(-3 + 3)^2 + (-12)^2}\\\\=\sqrt{0 + 144}\\\\=12$

Therefore ,

$Radius = \frac{12}{2} = 6$

Step 3 : Equation of the circle

Standard equation of the circle with centre ( h ,k )

and radius ,r is :

$(x - h)^2+(y -k)^2 = r^2$

Therefore, the equation of the circle with centre ( -3, 2)

and radius = 6 is :

$(x - (-3))^2 + (y - 2)^2 = 6^2\\\\(x + 3)^2 + (y - 2)^2 = 36$

5 0

3 years ago