Heelp 2 easy question Math

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)

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.

Answer:

200.08

Step-by-step explanation:

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

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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:

28

Step-by-step explanation:

Answer:

Step-by-step explanation:

28

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

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: $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:

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:

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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:

1

Step-by-step explanation:

they are the exact same, so y=x, or y=1x.

Answer:

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

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:

b) y = 3x + 1

y = x+1

Step-by-step explanation:

Select all the systems of equations that have exactly one solution.

a)

y = 3x + 1

y = 3x + 7

y - 3x = 1.... Equation 1

y - 3x = 7...... Equation 2

We solve using Elimination

We Subtract Equation 2 from 1

(y - y ) - (3x - 3x) = 7 - 1

0 = 6

b) y = 3x + 1...... Equation 1

y = x +1...... Equation 2

x = y - 1

We substitute y - 1 for x in Equation 1

y= 3(y - 1) + 1

y = 3y - 3 + 1

y - 3y = -3 + 1

-2y = -2

y = -2/-2

y = 1

Solving for x

x = y - 1

x = 1 - 1

x = 0

x = 0, y = 1,

The Equations in b) have only one solution

c) x+y=10

x = 10 - y

2x+2y=20

We substitute

2(10 - y) + 2y = 20

20 - 2y + 2y= 20

-2y + 2y = 20 - 20

0 = 0

It has no solution

d) x+y=10.... Equation 1

x+y=12..... Equation 2

We solve using Elimination

We Subtract Equation 2 from 1

x - x + y - y = 12 - 10

0 = 2

Answer:

4y = 10 degrees, the answer is 2.5. Otherwise, I have no idea what 4y - 10 degrees equals. 0

Step-by-step explanation:

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:

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:

a = -2 and p = 4.

Step-by-step explanation:

x²+2(3x+p)=0

x^2 + 6x + 2p = 0

For the general equation ax^2 + bx + c = 0, the sum of roots = -b/a and their product = c / a.

So here we have:

Sum of the roots:

a + 2a = -6/1 = -6

Product of the roots = 2a^2 = 2p/1 = 2p..

So 3a = -6 and

a = -2.

and

2(-2)^2 = 2p

8 = 2p

p = (-2)^2 = 4.

Answer:

see explanation

Step-by-step explanation:

Since x = a and x = 2a are roots, then substitute these values into the equation.

x = a

a² + 2(3a + p) = 0, that is

a² + 6a + 2p = 0 → (1)

x = 2a

(2a)² + 2(3(2a) + p) = 0

4a² + 12a + 2p = 0 → (2)

Solving simultaneously

Subtract (1) from (2) term by term to eliminate p

3a² + 6a = 0 ← in standard form

3a(a + 2) = 0 ← in factored form

Equate each factor to zero and solve for a

3a = 0 ⇒ a = 0

a + 2 = 0 ⇒ a = - 2

Since a ≠ 0 then a = - 2

Substitute a = - 2 into either of the 2 equations and solve for p

substituting into (1)

(- 2)² + 6(- 2) + 2p = 0

4 - 12 + 2p = 0

- 8 + 2p = 0 ( add 8 to both sides )

2p = 8 ( divide both sides by 2 )

p = 4

Thus a = - 2 and p = 4

--------------------------------------------

a + 1 = - 2 + 1 = - 1

a - 5 = - 2 - 5 = - 7

If x = - 1 and x = - 7 are roots then the corresponding factors are

(x + 1) and (x + 7) and the quadratic equation is the product of the factors, that is

(x + 1)(x + 7) = 0 ← expand left side using FOIL

x² + 8x + 7 = 0

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:

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:

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:

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