The bike store marks up the wholesale cost of all of the bikes they sell by 30%. The store buys a bike for $125. How much will they sell the bike for at the store? (Assume that there is no sales tax.)

Step-by-step explanation:

We need to use the binomial theorem/Pascal's triangle here.

(a+b)^5 = (5 choose 0)a^5 + (5 choose 1)a^4*b + (5 choose 2)a^3*b^2 + (5 choose 3)a^2*b^3 + (5 choose 4)a*b^4 + (5 choose 5)b^5.

5 choose 0 = 1

5 choose 1 = 5

5 choose 2 = 10

5 choose 3 = 10

5 choose 4 = 5

5 choose 5 = 1

And 1, 5, 10, 10, 5, 1, is the (5+1) = 6th row of pascal's triangle.

Therefore we get

g^5 + 5g^4*2 + 10g^3*2^2 + 10g^2*2^3 + 5g*2^4 + 2^5

which is

g^4 + 10g^4 + 40g^3 + 80g^2 + 80g + 32

Or, you could do the slow way, by just doing (g+2)(g+2)(g+2)(g+2)(g+2)

Answer:

Electric force = 8.20x10⁻⁸ N

Gravitational force = 3.61x10⁻⁴⁷ N

Step-by-step explanation:

1. The electric force can be found using the following equation:

[tex] F_{e} = \frac{Kq_{e}q_{p}}{d^{2}} [/tex]

Where:

K: is the Coulomb's constant = 9x10⁹ N.m²/C²      

[tex]q_{p}[/tex]: is the charge of the proton = 1.6x10⁻¹⁹ C

[tex]q_{e}[/tex]: is the charge of the electron = -1.6x10⁻¹⁹ C

d: is the distance = 5.3x10⁻¹¹ m

Hence, the magnitude of the electric force is:

[tex] |F_{e}| = \frac{9\cdot 10^{9} N.m^{2}/C^{2}*(-1.6\cdot 10^{-19} C)*1.6 \cdot 10^{-19} C}{(5.3 \cdot 10^{-11} m)^{2}} = 8.20 \cdot 10^{-8} N [/tex]                

2. The gravitational force can be calculated as follows:

[tex] F_{g} = \frac{Gm_{e}m_{p}}{d^{2}} [/tex]

Where:

[tex]m_{e}[/tex]: is the electron's mass = 9.1x10⁻³¹ kg

[tex]m_{p}[/tex]: is the proton's mass = 1.67x10⁻²⁷ kg

G: is the gravitational constant = 6.67x10⁻¹¹ N.m²/kg²

Therefore, the gravitational force is:

[tex] F_{g} = \frac{6.67 \cdot 10^{-11} N.m^{2}/kg^{2}*9.1 \cdot 10^{-31} kg*1.67 \cdot 10^{-27} kg}{(5.3 \cdot 10^{-11} m)^{2}} = 3.61 \cdot 10^{-47} N [/tex]

As we can see, the gravitational force is much less than the electric force.

I hope it helps you!                                                      

Answer: 3x square route of 3

Step-by-step explanation:

In the case when the sin B=0.5 in the triangle so the expression for AB is to be considered as the [tex]3x^3[/tex].

Since it is mentioned that sin B=0.5

And, AC = 3x

So AB be like [tex]3x^3[/tex]

hence, In the case when the sin B=0.5 in the triangle so the expression for AB is to be considered as the [tex]3x^3[/tex].

Learn more about triangle here: https://brainly.com/question/24891826

Answer:

[tex]( - 2) ^{4} \times ( - 3) ^{7} \\ = 16 \times 27 \\ = positive[/tex]

Answer:

C

Step-by-step explanation:

a function is defined by each x value having only one y value

In option c, a x value of 2 could have a y value of either 1 or 7

Answer:

D) V= 1/6 bh

Step-by-step explanation:

The expression that provides the volume of the pyramid is as follows;

As mentioned in the question

It is given that the pyramid put inside a prism

Also the pyramid contains the similar base area but the height is half of the prism

so the base area of the pyramid is b

And, the Height of the pyramid = h ÷ 2

Now as we know that  

The volume of the pyramid is

V = 1 ÷3 × base ares × height

= 1 ÷ 3 × b × h ÷ 2

V = 1 ÷ 6 bh

So, the volume is 1 ÷6 bh cube unit.

Answer:

V = 1/6 BH

Step-by-step explanation:

the volume of a pyramid is 1/3 BH , since the pyramid is only half the height of the prism you'll have to multiply 1/3 x 2 = 1/6

Answer:

33.33%

Step-by-step explanation:

8 out of 24 hours is equivalent to 1/3 which equals to 33.33%

Answer:

8/24 converted to a percentage = 33.333333333333%

Answer:

The simplest form of 42/18 is 7/3 or 2 1/3

Step-by-step explanation:

Answer:

7/3 or 2 and 1/3

Step-by-step explanation:

So first you have to find what is GCF of 42 and 18, which is 6 so divide 42 and 18 by 6 and you get 7/3 which is your simplified fraction but you can make this into a mixed number which would be 2 and 1/3

Answer:

200.08

Step-by-step explanation:

Answer:

(2.5, 5.5)

Step-by-step explanation:

The formula for calculating the midpoint of two coordinates is expressed as;

M(X, Y) = {(x1+x2/2, y1+y2/2)}

X = x1+x2/2

Y = y1+y2/2

Given the coordinates (7, 8) and (-2, 3)

X = 7-2/2

X = 5/2

X = 2.5

Y = y1 + y2/2

Y = 8+3/2

Y = 11/2

Y = 5.5

Hence the midpoint M of the coordinates is (2.5, 5.5)

Answer:

28

Step-by-step explanation:

Answer:

Step-by-step explanation:

28

Answer: 13

Step-by-step explanation: x =7 so u plug 7 in as x .and u do 7 plus 6 which gives u 13.

HOPE it helps  ;)

Answer:

96÷8=12 so it wold be $12 per CD AND 63÷6=10.5 there for making the CD $10.5 making Best Buy your answe

Answer:

I would have to say D

Step-by-step explanation:

because it is a complete function

The function [tex]f(x)=100^{x-5}-1[/tex] has a x-intercept

For an exponential function to have a x-intercept, the function must cross the x-axis

To determine the function, we simply plot them on a graph.

From the graph (see attachment), we can see that the graph of the function [tex]f(x)=100^{x-5}-1[/tex] crosses the x-axis.

This means that the function [tex]f(x)=100^{x-5}-1[/tex] has a x-intercept

Read more about exponential functions at:

https://brainly.com/question/11464095

Answer:

57/514 is the correct answer

Step-by-step explanation:

9514 1404 393

Answer:

  D.  52 ÷ 3 =17, with a remainder of 1

Step-by-step explanation:

There are only two answer choices that make a true statement: A and D. Of these, comparison with the diagram shows that you're looking for a statement where 17 and a remainder of 1 are involved. That's choice D.

Step-by-step explanation:

3 is being multiplied by the numbers in the bracket so

18-(3x1+3x5)

18-(3+15)

18-(18)

answer is 0

Answer:

6 cells

Step-by-step explanation:

Cell A = 1 hour to complete cycle and produce 2 cells

Number of cycles completed on 6 hours = 6 cycles

Number of cell produced = 2 * number of completed cycles = 2 * 6 = 12 cells

Cell B = 2 hours to complete a cycle ; 2 cells produced per cycle

Number of cells produced after 6 hours :

Number of cycles in 6 hours = 6/2 = 3 cycles

Number of cells produced = 3 * 2 = 6 cells

Difference in cells produced : (12 - 6) = 6 cells

Answer: $78

Step-by-step explanation:

We start by doing 260 x 30.

260 x 30 = 7800.

Then we divide the product of 260 and 30 by the original percent, which is 100.

7800 divided by 100 = 78.

So the answer is 78

Answer:

x = 11.4

Step-by-step explanation:

14.12 = [tex]\frac{1}{2}[/tex] ( 3.6x - 12.8 )

Rewrite so that the equation is entirely in decimals;

14.12 = 0.5( 3.6x - 12.8 )

Distribute;

14.12 = 1.8x - 6.4

Inverse operations;

14.12 = 1.8x - 6.4

+6.4            +6.4

20.52 = 1.8x

/1.8        /1.8

11.4 = x

Answer:

11.4

Step-by-step explanation:

14.12= 1/2(3.6x-12.8)

14.12=1.8x-6.4

20.52=1.8x

x=11.4

Hope that helps :)

Lemme know if I need to explain more

Probability of choosing number less than 4 from number 1 to 10 is equals to [tex]\frac{3}{10}[/tex].

" Probability is defined as the mathematical statement which represents the ratio of number of favourable outcomes to the total number of outcomes."

Formula used

Probability = [tex]\frac{Number of favourable outcomes }{Total number of outcomes}[/tex]

According to the question,

Given ,

Numbers from which Stacia randomly chooses a number = 1 to 10

                                                                                                 = { 1, 2, ..., 10}

Condition for choosing a number = less than 4

                                                        = {1, 2, 3}

Substitute the value in the formula of probability we get,

Probability of choosing a number less than 4 = [tex]\frac{3}{10}[/tex]

Hence, Option(C) is the correct answer.

Learn more about probability here

https://brainly.com/question/11234923

#SPJ2

f.ck yo 50 points like dafawkkkk

Answer:

207.7175

Step-by-step explanation:

take the 830.87 and divide it by 4 to see how much is made in 1 day. thats the average.

Answer:

y = -3x + 4

Step-by-step explanation:

y = -3x - 1

a parallel line is going to look identical to the previous equation except for the last number.

for example,

y = -3x + 10

and

y = -3x - 2

are both parallel lines

now, substitute y and x for the points of the coordinate given.

y = -3x - 1

-8 = -3*4 - 1

-8 = -12 - 1

this equation isn't true.

so change the last number to make it true

-8 = -12 + 4

-8 = -8

so, your new equation is

y = -3x + 4