1+1(I want to give points back so i am doing this).Pay it Forward

Answer:

Rational.

Step-by-step explanation:

Irrational numbers are real numbers that can't be written as fractions.

One clue is that the decimal goes on forever (doesn't terminate) without repeating. (pi)

.14 can be written as a fraction: 14/100

Answer:

It's rational

Step-by-step explanation:

Because irrational numbers cannot be written s a fraction and rational numbers can

Answer:

The two inequalities are;

P ≤ 90e^(0.047t)

P ≤ 270 + 100·t

Step-by-step explanation:

The parameters given for the testing of the new growth inhibitor are;

The growth rate of the bacteria = 4.7% exponentially

The growth inhibitor lowers the growth rate

The population of bacteria after time, t = P

The increase in the number of bacteria per unit time in the 100

The maximum number of bacteria in the standard tube = 270

Therefore, the number of bacteria after the first filling of the tube is P ≤ 270 + 100·t

The equation for exponential growth is [tex]A_0 e^{kt}[/tex]

Where:

A₀ = Initial population = 90

k = Percentage growth rate as percentage

t = Time

The equation for the population of bacteria under the influence of the inhibitor is therefore;

P ≤ [tex]90 \times e^{0.047 \cdot t}[/tex] which is P ≤ 90e^(0.047t).

Answer:

P≤270+100t

P≤90e^(0.047t)

Answer:

P = 0.2517

Step-by-step explanation:

In this case we must calculate the probability of event, which would be the number of specific events (that is, at least one woman and the rest men, 4), then it would be to choose 1 of 6 women by 4 of 9 men divided by the number of total events, which would be to choose 5 (committee size) out of 15 (9 men + 6 women, total number of people)

P (at least one woman) = 6C1 * 9C4 / 15C5

we know that nCr = n! / (r! * (n-r)!)

replacing we have:

6C1 = 6! / (1! * (6-1)!) = 6

9C4 = 9! / (4! * (9-4)!) = 126

15C5 = 15! / (5! * (15-5)!) = 3003

Therefore it would be:

P (at least one woman) = 6 * 126/3003

P = 0.2517

That is, approximately 1 out of 4 women.

Answer:

1. 2 pinch of salt

2. 3/2 egg =1.5 eggs

3. 33g of flour=1/3 pinch of salt

33g of flour=1/3 tbsp of oil

33g of flour=1/3 egg

33g of flour=100ml of milk

4. 24 servings

5. 300g of flour

Step-by-step explanation:

12 servings

Plain flour=100g

Salt=a pinch

Oil= 1 tbsp

Egg=1

Milk=300 ml

1. Pinches of salt in 24 servings

24

12 servings=1 pinch of salt

24 servings=24/12*1 pinch of salt

=2*1 pinch of salt

=2 pinch of salt

2. Egg needed for 18 servings

12 servings=1 egg

18 servings=18/12 * 1 egg

=3/2* 1 egg

=3/2 egg

3. If there are 33 grams of flour,

The other ingredients will be

33g/100g=1/3

The other ingredients will be 1/3 of the original measurement

Salt=a pinch

33g of flour=1/3 pinch of salt

Oil= 1 tbsp

33g of flour=1/3 tbsp of oil

Egg=1

33g of flour=1/3 egg

Milk=300 ml

33g of flour=1/3 of 300ml

=1/3*300

=300/3

=100ml of milk

4. If two eggs were used, grams of flour needed is

1 egg =12 servings

2 eggs=2* 12 servings

=24 servings

5. Flour needed if 900ml milk is used

100g flour=300ml of milk

900ml of milk=300ml * 3

Therefore,

900ml of milk=100g of flour *3

900ml of milk=300g of flour

Answer:

Second choice.

f(x) = 1/2(x - 6)^2 + 3/2.

Step-by-step explanation:

The distance of a point  (x, y) from the focus = the distance of the point from the directrix, so:

(x - 6)^2 + (y - 2)^2 = (y - 1)^2

x^2 - 12x + 36 + y^2 - 4y + 4 = y^2 - 2y + 1

x^2 -12x + 39 = 2y

y = f(x) = 1/2 (x^2 - 12x + 39)

I see you want the answer in vertex for so it is:

f(x)  = 1/2 [ (x - 6)^2 - 36)  + 39)

f(x)  = 1/2(x - 6)^2 + 3)

f(x) = 1/2(x - 6)^2 + 3/2.

A parabola is a plane that is approximately U-shaped.

The equation of the parabola is: [tex]\mathbf{y = \frac{1}{2}(x - 6)^2 + \frac 32}[/tex]

The given parameters are:

[tex]\mathbf{Focus = (6,2)}[/tex]

[tex]\mathbf{Directrix: y = 1}[/tex]

First, equate the directrix to 0

[tex]\mathbf{y - 1 = 0}[/tex]

The equation is then calculated as:

[tex]\mathbf{(x - a)^2 + (y - b)^2 = (y- 1)^2}[/tex]

Where:

[tex]\mathbf{(a,b) = (6,2)}[/tex]

So, we have:

[tex]\mathbf{(x - 6)^2 + (y - 2)^2 = (y- 1)^2}[/tex]

Expand

[tex]\mathbf{x^2 - 12x +36 + y^2 - 4y + 4 = y^2 - 2y + 1}[/tex]

Subtract y^2 from both sides

[tex]\mathbf{x^2 - 12x +36 - 4y + 4 =- 2y + 1}[/tex]

Collect like terms

[tex]\mathbf{x^2 - 12x +36 + 4 - 1 =4y - 2y}[/tex]

[tex]\mathbf{x^2 - 12x +39 =2y}[/tex]

Divide through by 2

[tex]\mathbf{y = \frac{1}{2}(x^2 - 12x +39)}[/tex]

Express 39 as 36 + 3

[tex]\mathbf{y = \frac{1}{2}(x^2 - 12x +36 + 3)}[/tex]

Factor out 3/2

[tex]\mathbf{y = \frac{1}{2}(x^2 - 12x +36) + \frac 32}[/tex]

Expand the bracket

[tex]\mathbf{y = \frac{1}{2}(x^2 - 6x - 6x +36) + \frac 32}[/tex]

Factorize

[tex]\mathbf{y = \frac{1}{2}(x(x - 6) - 6(x -6)) + \frac 32}[/tex]

Factor out x - 6

[tex]\mathbf{y = \frac{1}{2}((x - 6) (x -6)) + \frac 32}[/tex]

Express as squares

[tex]\mathbf{y = \frac{1}{2}(x - 6)^2 + \frac 32}[/tex]

Hence, the equation of the parabola is: [tex]\mathbf{y = \frac{1}{2}(x - 6)^2 + \frac 32}[/tex]

Read more about equations of parabola at:

https://brainly.com/question/4074088

Answer:

Option (2)

Step-by-step explanation:

Volume of a prism A (preimage) = 27 cubic units

Factor of dilation of the sides of this prism (image) = [tex]\frac{1}{3}[/tex]

Volume scale factor of these prisms = [tex]\frac{\text{Volume of image}}{\text{Volume of preimage}}[/tex]

Since, Volume scale factor = (Scale factor of dilation of the sides)³

                                             = [tex](\frac{1}{3})^3[/tex]

                                             = [tex]\frac{1}{9}[/tex]

Now from the formula of volume scale factor,

[tex]\frac{1}{9}=\frac{\text{Volume of image}}{\text{Volume of preimage}}[/tex]

[tex]\frac{1}{9}=\frac{\text{Volume of image}}{27}[/tex]

Volume of the image prism = [tex]\frac{27}{9}[/tex] = 3 cubic units

Therefore, Option (2) will be the answer.                                                    

Answer:

1 cubic unit

Step-by-step explanation:

Answer:

a) x = 5

b) x = 4

Step-by-step explanation:

a) x:2 = 10:4

Product of extremes = Product of means

=> x*4 = 10*2

=> 4x = 20

Dividing both sides by 4

=> x = 5

b) 3:x = 6:8

Product of extremes = Product of Means

=> 3*8 = 6*x

=> 24 = 6x

Dividing both sides by 6

=> x = 4

Answer:

Solution,

[tex]a. \: \: \frac{x}{2} = \frac{10}{4} \\ \: \: or \: x \times 4 = 10 \times 2 \: ( \: cross \: multiplication) \\ \: \: or \: 4x = 20 \\ or \:x = \frac{20}{4} \\ \: \: \: x = 5[/tex]

[tex]b. \: \frac{3}{x} = \frac{6}{8} \\ or \: 6 \times x = 3 \times 8 \: ( \: cross \: multiplication) \\ or \: 6x = 24 \\ \: or \: x = \frac{24}{6} \\ x = 4[/tex]

Hope this helps...

Good luck on your assignment

Hey there! :)

Answer:

Choices 1, 4 and 5.

Step-by-step explanation:

To solve, we can go through each answer choice and check if they are Pythagorean Triples using the Pythagorean Theorem:

1) 26² = 10² + 24²

676 = 100 + 576

676 = 676. This is correct.

2) 49² = 14² + 48²

2401 = 196 + 2304

2401 ≠ 2500. This is incorrect.

3)

16² = 12² + 9²

256 = 144 + 81²

256 ≠ 225. This is incorrect.

4)

41² = 40² + 9²

1681 = 1600 + 81

1681 = 1681. This is correct.

5)

25² = 15² + 20²

625 = 225 + 400

625 = 625. This is correct.

Therefore, choices 1, 4 and 5 are correct.

Answer:

A, D, and E.

Step-by-step explanation:

Answer:

factor: 5(2x'y'+3xy)

Step-by-step explanation:

thats for factoring, i didnt know what you needed

Answer:

25xy

Step-by-step explanation:

collect like terms

Answer:

144

Step-by-step explanation:

We will use permutations to solve this problem

There are 4 pairs each having a male and a female.

The total number of sample points is 4! = 4*3*2*1= 24

He chooses the male first  then the number of sample space he is left with are 3! = 3*2*1=6

The total number of ways he can select is 4! 3! = 24 * 6= 144

Another way of finding it out is

he has 4 pairs  each having a male and a female so he chooses 1st male then he would choose from this

4 female choices*3 male choices * 3 female choices *2 male choices *2 female choices *1 male choices *1 female choices *= 4*3*3*2*2*1*1= 144

The zookeeper can feed all the animals in 144 ways

The number of different animals is given as:

[tex]n = 4[/tex]

The number of ways to feed any of the 4 male animals is:

[tex]Ways = 4![/tex]

Expand

[tex]Ways = 4 \times 3 \times 2 \times 1[/tex]

[tex]Ways = 24[/tex]

From the question, we understand that the female of the particular animal cannot be selected (yet).

So, there are 3 female animals left.

The number of ways to feed any of the 3 female animals is:

[tex]Ways = 3![/tex]

Expand

[tex]Ways = 3 \times 2 \times 1[/tex]

[tex]Ways = 6[/tex]

So, the number (n) of ways to feed all the animals is:

[tex]n = 24 \times 6[/tex]

[tex]n = 144[/tex]

Hence, he can feed all the animals in 144 ways

Read more about permutation at:

https://brainly.com/question/11706738

Answer:

b = 131

Step-by-step explanation:

The two angles form a straight line so they add to 180 degrees

b+49 = 180

Subtract 49 from each side

b = 180-49

b =131

Answer:

Angle b is 131°

Step-by-step explanation:

Angles on a straight line add up to 180°

To find b add 49 and b and equate it to 180°

That's

b + 49 = 180

b= 180 - 49

b = 131°

Hope this helps you

Answer:

143.81

Step-by-step explanation:

Trapezoid Area

A = 2b/2 * h

A = 9 + 23/2 * 7

A = 32/2 * 7

A = 16 * 7

A = 112

Semi-circle Area

A = πr²/2

A = π4.5²/2

A = π20.25/2

A = 63.62/2

A = 38.81

Total Area

112 + 38.81

143.81

Answer:

a = -1/2

b = 2

Step-by-step explanation:

Step 1: Rewrite 1st equation

-b = -5 - 6a

b = 5 + 6a

Step 2: Substitution

4a - 3(5 + 6a) = -8

Step 3: Solve

4a - 15 - 18a = -8

-14a - 15 = -8

-14a = 7

a = -1/2

Step 4: Plug in a to find b

6(-1/2) - b = -5

-3 - b = -5

-b = -2

b = 2

Answer:

slope= 1/2x

Step-by-step explanation:

For this line, you can count it going up 7 and to the right 14. Next, to calculate the slope, you take the change in y over the change in x, and you take those numbers (7 and 14) and divide 7 by 14 to get the slope, which simplifies to 1/2x, the slope.

Answer:

1/2

Step-by-step explanation:

The slope formula is:

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

where (x1,y1) and (x1, y2) are 2 points the line passes through.

We are given the points:

(-7,1) and (7,8). Match the corresponding variables with the points.

x1= -7

y1= 1

x2= 7

y2= 8

Substitute these values into the formula.

[tex]m=\frac{8-1 }{7--7 }[/tex]

Solve the numerator first. Subtract 1 from 8.

[tex]m=\frac{7 }{7--7 }[/tex]

Now solve the denominator. Subtract -7 from 7, or add 7 and 7.

[tex]m=\frac{7}{7+7}[/tex]

[tex]m=\frac{7}{14}[/tex]

This fraction can be simplified. Both 7 and 14 can be divided evenly by 7.

[tex]m= \frac{(7/7)}{(14/7)}[/tex]

[tex]m=\frac{1}{2}[/tex]

The slope of the line is 1/2.

Answer:

David is 12 years old.

Step-by-step explanation:

Let r = Rebecca's age

Let d = David's age

let p = Dad's age

David is 3 times as younger than his dad:

d = [tex]\frac{p}{3}[/tex]

David is 2 times older than Rebecca:

d = 2r

Rebecca is 30 years younger than the dad:

r = p-30

All three equations can be solved by a system

2r = [tex]\frac{p}{3}[/tex]

r = p-30

multiplying r = p-30 by negative 2 and adding it to 2r = [tex]\frac{p}{3}[/tex]

0 = (-2p + p/3) + 60

multiplying new equation by 3

0 = (-6p + p) + 180

5p = 180

p = 36

d = 36/3 = 12

Answer:

[tex]a = 3[/tex]

Step-by-step explanation:

[tex]3 {a}^{2} = 27 \\ \frac{3 {a}^{2} }{3} = \frac{27}{3} \\ {a}^{2} = 9 \\ a = \sqrt{9} \\ a = 3[/tex]

Answer: 9

Step-by-step explanation:

First divide both sides by 3

[tex]a^2=9[/tex]

Then root both sides([tex]\sqrt{a^2}=\sqrt{9}[/tex])

a = 9

Hope it helps <3

Edit: :o this is my 250th answer

Answer:

4^2

Step-by-step explanation:

4^4 times 4^3 is equal to 4^7 since you just add the exponents. Then, when dividing, you subtract the exponents, so 4^7/4^5 is 4^2. I hope this is helpful!

Answer:

the answer is

Step-by-step explanation:

4 to the power of 2

you add 4 and 3 which is 7

and 7 subtract 5 which is

4 to the power of 2

Answer:

Solution,

Area of rectangle= 524.4 m^2

Length(L)= 6.9 m

Breadth(B)=?

Now,

[tex]area = length \times breadth \\ or \: 524.4 = 6.9 \times b \\ or \: 524.4 = 6.9b \\ or \: b = \frac{524.4}{6.9} \\ b = 76 \: m[/tex]

Again,

Perimeter of rectangle:

[tex]2(l + b) \\ = 2(6.9 + 76) \\ = 2 \times 82.9 \\ = 165.8 \: m[/tex]

Hope this helps...

Good luck on your assignment.....

Answer:

The perimeter of the rectangle is 165.8cm

Step-by-step explanation:

Area of a rectangle = length × width

Area = 524.4m²

length = 6.9m

524.4 = 6.9 × width

width = 524.4 / 6.9

width = 76m

Perimeter of a rectangle =

2(length ) + 2(width)

length = 6.9m

width = 76m

Perimeter = 2( 6.9) + 2(76)

= 13.8 + 152

The final answer is

= 165.8cm

Hope this helps you

Answer:

[tex]\boxed{BC = 11.62}[/tex]

Step-by-step explanation:

Tan 54 = [tex]\frac{opposite}{adjacent}[/tex]

Where opposite = 16, Adjacent = BC

1.376 = [tex]\frac{16}{BC}[/tex]

BC = 16/1.376

BC = 11.62

Answer:

11.62468045 or 11.6 to 1 decimal place

Step-by-step explanation:

→ We need to utilise trigonometry. The first step would be to list out the formula triangles

Tan = Opposite ÷ Adjacent

Sin =  Opposite ÷ Hypotenuse

Cos = Adjacent ÷ Hypotenuse

→ Now we need to know which triangle to use, we do that by identifying the side or length we are not given in the triangle and then finding a formula without the name of the given side. First let's identify all the sides.

Opposite = AC = 16

Adjacent = BC = We need to find this out

Hypotenuse = AB = No given value

→ Now we look for a formula with hypotenuse

Tan = Opposite ÷ Adjacent

→ The (Tan = Opposite ÷ Adjacent) is the formula we are going to be using. Since we want to find out the adjacent, we have to rearrange to get adjacent as the subject

Adjacent = Opposite ÷ Tan

→ Now we identify the Opposite and the Tan

Opposite = 16

Tan = 54°

Side note ⇒ Sin, cos and tan will always be the angles

→ Substitute in the values in the formula

Adjacent = Opposite ÷ Tan ⇔ Adjacent = 16 ÷ Tan (54) ⇔ Adjacent = 11.6

→ The adjacent is 11.6 to 1 decimal place

Answer:

38

Step-by-step explanation:

Using the five number summary it is 38 since it is 75 percent of the sample

You have the correct answer. Nice work

==========================================================

Explanation:

If the values aren't sorted, then list them from smallest to largest. The values are already sorted for us, so we move onto the next step.

That next step is to find the median. The median is 29 because four values are smaller than it, and four values are larger than it. The value 29 is right in the middle. This value is in slot 5.

Next, split the data into two halves where L = {21,24,25,28} is the lower half and U = {35,37,39,42} is the upper half. As you can see, any value in set L is smaller than the median. While any value in set U is larger than the median.

The third quartile is the median of set U. We have four values in this set, so the median will be between slots 3 and 4 (between 37 and 39)

Average 37 and 39 to get (37+39)/2 = 38. We see that 38 is the midpoint of 37 and 39.

Therefore, the third quartile is 38.

Answer:

30.96 [tex]in^2[/tex]

Step-by-step explanation:

Given that

Side of square = 12 in

Diameter of circle = 12 in

We know that, radius is half of diameter,

So, r = 6 cm

We have to find the area of square which is not covered by the circle.

i.e. Required Area = Area of Square - Area of Circle

Please refer to the attached to have a better understanding of the given situation.

Formula:

Area of square = [tex](side)^2[/tex]

Area of circle = [tex]\pi r^2[/tex]

Required Area = [tex]12^2[/tex] - [tex]\pi \times 6^{2}[/tex]

[tex]\Rightarrow 144 - 3.14 \times 36\\\Rightarrow 144 - 113.04\\\Rightarrow 30.96\ in^2[/tex]

So, the answer is 30.96 [tex]in^2[/tex].

Answer:

A y=1/2x(powerof)2+5

B 17.5

C x=√42 or x=−√42

Step-by-step explanation:

Answer:

a. y = x^2 + 10

b. when x=5,   y  = 35

c. when y = 26,   x =  +4 or -4

Step-by-step explanation:

Given

y = k (x^2/2 + 5), and

(2,14) is on the curve.

Solution:

Substitute x=2 and y=14 in the above equation

14 = k (2^2/2 + 5)

14 = k (2+5)

14 = 7k

k = 14/7 = 2

a. equation connecting x and y is

   y = 2 (x^2/2 + 5), or

   y = x^2 + 10

b. when x=5

   y = 5^2 + 10 = 25 + 10 = 35

c. when y = 26

  26 = x^2 + 10

  x^2 = 26-10 = 16

  x= sqrt(16) = +4 or -4

Answer:

1:00 PM

Step-by-step explanation:

According to the conditions given in the question, i confirm that the time time asked here is 1:00 PM.

at 1:00 PM, its 5 minutes (odd),  clearly, more than half an hour away from the next o clock. It is closer to 5 PM than 5 AM.

Answer:

Las inecuaciones que pueden ayudar a calcular cuantos litros de pintura blanca se pueden tener como son [tex]\frac{4\cdot x + 7\cdot y}{500}> 5\,\frac{USD}{L}[/tex] y [tex]\frac{4\cdot x + 7\cdot y}{500}< 6\,\frac{USD}{L}[/tex].

Step-by-step explanation:

Esta situación puede ser descrita mediante una ecuación y una inecuación simultánea. La ecuación es de la capacidad del tanque, mientras que la inecuación es del coste unitario de la mezcla. Sean [tex]x[/tex] y [tex]y[/tex] las capacidades empleadas de pintura blanca y pintura azul en litros, entonces:

Capacidad del tanque (en litros)

[tex]x + y = 500\,L[/tex]

Coste unitario de la mezcla (en dólares por litro)

[tex]5\,\frac{USD}{L} < \frac{4\cdot x + 7\cdot y}{500} < 6\,\frac{USD}{L}[/tex]

Es decir:

[tex]\frac{4\cdot x + 7\cdot y}{500}> 5\,\frac{USD}{L}[/tex] y [tex]\frac{4\cdot x + 7\cdot y}{500}< 6\,\frac{USD}{L}[/tex]

Las inecuaciones que pueden ayudar a calcular cuantos litros de pintura blanca se pueden tener como son [tex]\frac{4\cdot x + 7\cdot y}{500}> 5\,\frac{USD}{L}[/tex] y [tex]\frac{4\cdot x + 7\cdot y}{500}< 6\,\frac{USD}{L}[/tex].

Answer:

Step-by-step explanation:

A square has equal sides. Let x represent the length of each side of the square carpet. The diagram representing the room and the carpet is shown in the attached photo. Therefore, the length of the room would be (x + 2)m while the width of the room would be (x + 1)m

Since the area of the room is 56m², it means that

(x + 2)(x + 1) = 56

x² + x + 2x + 2 = 56

x² + 3x + 2 - 56 = 0

x² + 3x - 54 = 0

x² + 9x - 6x - 54 = 0

x(x + 9) - 6(x + 9) = 0

x - 6 = 0 or x + 9 = 0

x = 6 or x = - 9

Since the dimension of the carpet cannot be negative, then x = 6

The dimension of the carpet is 6m × 6m

Sarah: School to mall = 21

           mall to library = 20

Total distance for Sarah = 20 + 21 = 41 miles.

Use the Pythagorean theorem to find the distance Bret traveled:

Distance = SQRT(21^2 + 20^2)

              = sqrt(441 + 400)

              = sqrt(841)

              = 29 miles

Total distance  = 41 + 29 = 70 miles

Answer is D. 70 miles.

Answer:

70

Step-by-step explanation:

i took the test

Answer:

The values of x are:

x : -3, -2, -1, 0, 1, 2, 3

Let's solve each by putting each value of x into each equation:

a [tex]y = 2^x[/tex]

> x = -3

=> y = 2^(-3) = 1/8

> x = -2

=> y = 2^(-2) = 1/4

> x = -1

=> y = 2^(-1) = 1/2

> x = 0

=> y = 2^0 = 1

> x = 1

=> y = 2^1 = 2

> x = 2

=> y = 2^2 = 4

> x = 3

=> y = 2^3 = 8

b. [tex]y = -2^x[/tex]

> x = -3

=> y = -2^(-3) = -1/8

> x = -2

=> y = -2^(-2) = -1/4

> x = -1

=> y = -2^(-1) = -1/2

> x = 0

=> y = -2^0 = -1

> x = 1

=> y = -2^1 = -2

> x = 2

=> y = -2^2 = -4

> x = 3

=> y = -2^3 = -8

c. [tex]y = (3)(2^x)[/tex]

> x = -3

=> y = 3 * 2^(-3) = 3 * 1/8 = 3/8

> x = -2

=> y = 3 * 2^(-2) = 3 * 1/4 = 3/4

> x = -1

=> y = 3 * 2^(-1) = 3 * 1/2 = 3/2

> x = 0

=> y = 3 * 2^0 = 3 * 1 = 3

> x = 1

=> y = 3 * 2^1 = 3 * 2 = 6

> x = 2

=> y = 3 * 2^2 = 3 * 4 = 12

> x = 3

=> y = 3 * 2^3 = 3 * 8 = 24

Input these values into the table.

Answer:

a y = 2^x

> x = -3

=> y = 2^(-3) = 1/8

> x = -2

=> y = 2^(-2) = 1/4

> x = -1

=> y = 2^(-1) = 1/2

> x = 0

=> y = 2^0 = 1

> x = 1

=> y = 2^1 = 2

> x = 2

=> y = 2^2 = 4

> x = 3

=> y = 2^3 = 8

b. y = -2^x

> x = -3

=> y = -2^(-3) = -1/8

> x = -2

=> y = -2^(-2) = -1/4

> x = -1

=> y = -2^(-1) = -1/2

> x = 0

=> y = -2^0 = -1

> x = 1

=> y = -2^1 = -2

> x = 2

=> y = -2^2 = -4

> x = 3

=> y = -2^3 = -8

c. y = (3)(2^x)

> x = -3

=> y = 3 * 2^(-3) = 3 * 1/8 = 3/8

> x = -2

=> y = 3 * 2^(-2) = 3 * 1/4 = 3/4

> x = -1

=> y = 3 * 2^(-1) = 3 * 1/2 = 3/2

> x = 0

=> y = 3 * 2^0 = 3 * 1 = 3

> x = 1

=> y = 3 * 2^1 = 3 * 2 = 6

> x = 2

=> y = 3 * 2^2 = 3 * 4 = 12

> x = 3

=> y = 3 * 2^3 = 3 * 8 = 24

Step-by-step explanation:

Answer:

i dont get it, can you please rephrase it?

Answer:

Options 2, 4, and 5 are correct (from top to bottom)

Step-by-step explanation:

g(0)=0

g(1)=1

g(-1)=1

g(4)≠-2

g(4)=2

g(1)≠-1

g(1)=1

Options 2, 4, and 5 are correct (from top to bottom)

Step-by-step explanation:

The above sequence is a geometric sequence

For an nth term in a geometric sequence

[tex] a(n) = a ({r})^{n - 1} [/tex]

where

n is the number of terms

a is the first term

r is the common ratio

From the question

a = 5

r = 10/5 = 2

Therefore the explicit formula for this sequence is

[tex]a(n) = 5( {2})^{n - 1} [/tex]

Hope this helps you