Evaluate f(-2) where f(x)=2x^3-x^2+3

Answer:

Friday: 153 people  Saturday: 238  Sunday: 99

Step-by-step explanation:

Subtract 153 from 391 to find the people on Saturday (238). Subtract 238 from 337 to find the people on Sunday (99).

The roles and relationships that exist amongst the producers, consumers, and decomposers in an ecosystem is described by the food chain.

The meaning of ecosystem is the complex of a community of organisms and its environment functioning as an ecological unit.

Producer is an organism that produces its own food e.g. photosynthesis in plants. Also known as the base of the food-chain.

Consumer is an organism that consumes (eats) either a producer or another consumer e.g. animals will solely eat plants (herbivore), solely animals (carnivore), or a combination of both (omnivore).

Studies are showing that most animals are omnivores. Even pre-concluded herbivores or carnivores are found to eat a small variety of both plants and animals in a pinch. E.g. a deer would eat a baby bird if it found it on the ground.

Decomposers are organisms that 'eat' and break up dying/decaying material e.g. earthworms and fungi.

All of this together is the food cycle.

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PLEASE READ THIS EXPLANATION: It is an EXTREMELY foundational concept in algebra that must be understood. Ask questions in the comments if you do not understand anything because I love helping others learn! Do not be shy. :)

Alright, so let's just understand the problem. The interval [3,6] means that the smallest x-value is x=3 and the largest x-value is x=6, and they both INCLUDE x=3 and x=6 (It would exclude x=3 and x=6 if it was like interval (3,6) with parentheses). Since f(x) is an exponential function, the change per x is not consistent and its growth actually grows as it continues in the direction of infinity, so that is why the average rate of change is interesting and very much relies on what range there is. The average rate of change from x=3 to x=6 will be far smaller than the average rate of change farther down the road at x = 99999 and x = 100003.

So, how do we find the average rate of change? All you have to do is find the slope between two points. Simple as that.

So, how do we apply that here? Imagine a graph with two points, one point at x = 3 and one point at x = 6 and we do not know the y-value of either of these points. So, that's our first step!

We need to first find how much it grows at x=3 and x=6 separately to find the the y-value of these points. f(x) = 2^x for x = 3 means y = 8, and f(x) = 2^x for x = 6 means y = 64. We now have two points:

(3, 8) and (6, 64)

Now, all we have to do is find the slope between these lines. All we have to do is use the normal formula for finding slope:

(y₂ - y₁) / (x₂ - x₁) OR (y₁ - y₂) / (x₁ - x₂)

Most people use the first one, but they give you the exact same answer, so don't ever think it's impossible to use the second one. Let's just use the first formula anyway.

(3, 8) = (x₁, y₁)

(6, 64) = (x₂, y₂)

Now, let's use the formula (remember you can use either one because it won't affect your answer):

(y₂ - y₁) / (x₂ - x₁) = (64 - 8) / (6 - 3) = 56 / 3 = 18 and 2/3

So, the average rate of change is 18 and 2/3 or 18.666666667.

Answer:

(63.5 , 72.5)

Step-by-step explanation:

Answer:

[tex] {x}^{2} = {(13 - 6)}^{2} + {9}^{2} = {7 }^{2} + {9}^{2} \\ = 130 \\ x = \sqrt{130} = 11.4[/tex]

Here's the solution,

volume :

=》

[tex] \dfrac{1}{2} \times 12 \times 5 \times 3[/tex]

=》

[tex]90 \: \: m {}^{3} [/tex]

surface area :

=》

[tex](13 \times 3) + (5 \times 3) + (12 \times 3) + (2 \times \dfrac{1}{2} \times 12 \times 5)[/tex]

=》

[tex]39 + 15 + 36 + 60[/tex]

=》

[tex]150 \: \: {m}^{2} [/tex]

Answer:

Its 108 because you have to split up the rectangles so when you cut them in half you will have 2 separate rectangles 1 with a base of 8 and a height of 9 so you will multiply those so 9 x 8 = 72 then just do the other two so 6 x 6 = 36 now you add those together 36 + 72 = 108 hope that helps

The Answer Is 108

Find the top length by adding 8+6=14

And the sides are the same length, meaning the sides are equivalent to 6.

6x14=84.

To find the sides for the the other rectangle, do 9-6 to get the side 3.

3x8=24

Add both areas to get 108 Inches Squared.

Answer:

375

Step-by-step explanation:

12.5=1min

30min=?

30x12.5=357

Answer:

d) 73 m

Step-by-step explanation:

From the Question, we are told that:

Maya is finding the area of the shaded triangle below.

A triangle has a base of 73 meters and a height of 10 meters.

If she considers 10 m to be the height of the triangle, what should she use as the triangle’s base?

The area of a triangle = 1/2 × Base × Height

We are already told the base of the triangle from the question and this is 73 m

Option D, 73 m is the correct answer

The chances of availability from lest to most likely is Blueberry cheesecake, Chocolate chip and Caramel Critters.

Probability determines the chances that an event would happen. The probability the event occurs with certainty is 1 and the probability that the event would not occur with certainty is 0.

The chances of availability:

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Answer:

f(x) = 10x - 27. I can't find the answer anywhere

Step-by-step explanation:

Answer:

The exterior angle is ∠BDC

Congreunt side is XZ

Step-by-step explanation:

The exterior angle just means the angle facing outside.

And for the congruent one you are right. Because they are put in the same order.

Answer:

Step-by-step explanation:

I don’t see any pictures

Answer:

15x⁴

Step-by-step explanation:

Square root of 225 is 15.

Answer:

105in²

Step-by-step explanation:

Surface area is the total area of the faces.

The faces of pyramid consist of triangles and a square

The area of a square can easily be calculated by squaring the side length

the square of this pyramid has a side length of 5

so

area of square = 5²

5² = 25

the area of the square is 25in²

Now to find the area of the triangles

All we have to do is find the area of one triangle and multiply that buy 4 ( because there are four triangle)

the area of a triangle can be calculated using this formula :

[tex]A=\frac{bh}{2}[/tex]  where b = base and h = height

The triangles have a base length of 5 in and a height of 8 in

so

[tex]A=\frac{5*8}{2} \\5*8=40\\\frac{40}{2} =20\\A=20[/tex]

So the area of one triangle is 20 in²

Now we multiply 20 by 4 to find the area of all 4 triangles

20 * 4 = 80

So the total area of the triangles is 80in²

Finally we add the two areas together

Surface area = 80 + 25

80 + 25 = 105

Hence, the surface area is 105in²

Answer:

105 in.

Step-by-step explanation:

To find the area of a square pyramid, use this formula

a (area of base) + 1/2 ⋅ p (perimeter of base) ⋅ height.

The base is a square.

To find the area of a square, simply multiply the side length by itself twice (x^2).

5 x 5 = 25.

25 is the area of the base.

a (area of base) + 1/2 ⋅ p (perimeter of base) ⋅ height

25 + 1/2 ⋅ p ⋅ height.

To find the perimeter of a square, add every side length; the sum is the perimeter.

5 + 5 + 5 + 5 = 20.

20 is the perimeter of the square.

a (area of base) + 1/2 ⋅ p (perimeter of base) ⋅ height

25 + 1/2 ⋅ 20 ⋅ height

The height is the number along the little lines.

8 is the height.

Now that we have all parts of the formula, we have our final equation.

a (area of base) + 1/2 ⋅ p (perimeter of base) ⋅ height

25 + 1/2 ⋅ 20 ⋅ 8 = 105.

105 in. is the surface area of the square pyramid.

Answer: 1

Heres why: If you subtract the 1 from 2 you get 1

Answer:

90,75, and 15

Step-by-step explanation:

90+5x+×=180

6x=90

x=15

Answer:

the number of possibilities that can be drace himself up for the day is 216

Step-by-step explanation:

Given that

jun has 12 t-shirts,6 pairs of pants and 3 pairs of shoes

We need to find out the possibilities that can be drace himself up for the day

So here

[tex]= 12C_1 \times 6C_1 \times 3C_1\\\\= \frac{12!}{1!(12 - 1)!} \times \frac{6!}{1!(6 - 1)!} \times \frac{3!}{1!(3 - 1)!}\\\\= \frac{12!}{1!(11)!} \times \frac{6!}{1!(5)!} \times \frac{3!}{1!(2)!}\\\\= 12 \times 6 \times 3\\\\= 216[/tex]

Hence, the number of possibilities that can be drace himself up for the day is 216

The same would be considered and relevant too

One way to find the midpoint is to start at either endpoint (A or B), and count how many spaces it takes to get to the other endpoint. You should count exactly 5 spaces. This means that the midpoint will have us travel 5/2 = 2.5 spaces when we start at either endpoint and walk to the other side.

If we start at point A and move 2.5 units up, then we'll arrive at (-2, 1.5)

If you start at point B (where the red x is) and move 2.5 units down, you'll get to (-2, 1.5)

The midpoint is located at (-2, 1.5)

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

Another method is to use the coordinates of A and B. Point A is located at (-2, -1) and point B is located at (-2, 4)

Focus on the x coordinates for now only. The x coordinates are -2 and -2, so they are the same in this case. Adding them up leads to -2+(-2) = -4. Then we divide by 2 to get -4/2 = -2. It turns out that if the coordinates are the same, then adding them up and dividing by two leads to the same coordinate value.

Now move onto the y coordinates. Points A and B have y coordinates of -1 and 4 respectively. They add to -1+4 = 3 and that cuts in half to 3/2 = 1.5

The results of -2 and 1.5 we got in the previous two paragraphs then immediately lead to the midpoint's exact location of (-2, 1.5)

Answer:

3 is the answer

Step-by-step explanation:

hope it will help you

Answer: 4.9 ft

Step-by-step explanation:

Given

Length of wire [tex]l=7\ ft[/tex]

Stake is at a distance of [tex]5\ ft[/tex] from the base of tree

suppose wire is attached y ft  above the base of tree

from the figure, we can write

[tex]\Rightarrow 7^2=5^2+y^2\\\Rightarrow y^2=49-25\\\Rightarrow y=\sqrt{24}\\\Rightarrow y=4.89\approx 4.9\ ft[/tex]

Answer:

1. 36m squared

2. 60 m squared

3.288 m 2

4. 154m 2

Step-by-step explanation:

Answer:

y = 25.20 m

Step-by-step explanation:

By applying tangent rule in ΔABC,

tan(25)° = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

             = [tex]\frac{y}{BC}[/tex]

BC = [tex]\frac{y}{\text{tan}(25)}[/tex] --------(1)

Now we apply tangent rule in ΔABD,

tan(15)° = [tex]\frac{y}{BC+CD}[/tex]

tan(15)° = [tex]\frac{y}{BC+40}[/tex]

BC + 40 = [tex]\frac{y}{\text{tan}(15)}[/tex]

BC = [tex]\frac{y}{\text{tan}(15)}[/tex] - 40 -------(2)

From equation (1) and (2),

[tex]\frac{y}{\text{tan}(25)}=\frac{y}{\text{tan}(25)}-40[/tex]

[tex]\frac{y}{\text{tan}(25)}-\frac{y}{\text{tan}(25)}=-40[/tex]

[tex]y[\frac{1}{\text{tan}(25)}-\frac{1}{\text{tan}(25)}]=-40[/tex]

y(2.1445 - 3.7321) = -40

1.5876y = 40

y = 25.1953

y ≈ 25.20 m

Therefore, measure of y is 25.20 m.

Answer:

x = number of cards that cost $2.50 each = 5

y = number of cards that cost $3.25 each = 1

Step-by-step explanation:

The equations are:

x + y = 6 (1)

2.5x + 3.25y = 15.75 (2)

From (1)

x = 6 - y

Substitute x = 6 - y into (2)

2.5x + 3.25y = 15.75 (2)

2.5(6 - y) + 3.25y = 15.75

15 - 2.5y + 3.25y = 15.75

- 2.5y + 3.25y = 15.75 - 15

0.75y = 0.75

y = 0.75/075

y = 1

Substitute y = 1 into (1)

x + y = 6

x + 1 = 6

x = 6 - 1

x = 5

Therefore,

x = number of cards that cost $2.50 each = 5

y = number of cards that cost $3.25 each = 1

Answer:

A Lucia le sobró dinero y la cantidad que sobró es: 488 pesos.

Step-by-step explanation:

Para determinar si le faltó o le sobro dinero, debes determinar el costo total de lo que compró multiplicando el precio de cada artículo por la cantidad comprada y sumando estos valores:

(60*12)+(156*7)+(350*2)=720+1092+700=2512

Dado que pagó con 3000 pesos y el costo total de lo que compró es de 2512 pesos y este valor es menor que 3000 en 488 pesos, la respuesta es que le sobró dinero.

Answer:

4 per game

Step-by-step explanation:

Answer:

For f(x) = √(2·x + 2) - √(x + 18), at f(x) = -1 the possible x-values includes;

-0.757, -17.5

Step-by-step explanation:

Given that the function is f(x) = √(2·x + 2) - √(x + 18)

The value of 'x' when f(x) = -1, is given as follows;

-1 = √(2·x + 2) - √(x + 18)

-1² = (√(2·x + 2) - √(x + 18))² = 3·x + 20 - 2·√(2·x + 2)×√(x + 18)

1 = 3·x + 20 - 2·√(2·x + 2)×√(x + 18)

2·√(2·x + 2)×√(x + 18) = 3·x + 20 - 1 = 3·x + 19

2·x² + 38·x + 36 = (3·x + 19)/2

2·x² + 38·x + 36 - (3·x + 19)/2 = 0

4·x² + 73·x + 53 = 0

From which we get;

x = (-73 ± √(73² - 4 × 4 × 53))/(2 × 4)

x ≈ -0.757, and x ≈ -17.5

Answer:

En 64 filas habrá 51 asientos

en 60 filas habrá 48 asientos

Step-by-step explanation:

Spanish

Primero se averigua la relación entre las filas y los asientos.

40: 32

Dividiendo por 8

5: 4

Usando esta relación podemos encontrar el número de asientos en el número dado de filas.

Si el número de filas es 64 entonces

Asientos de filas

64 x

5 4

Uso de la regla de productos cruzados

x = 64 * 4/5 = 51,2

En 64 filas habrá 51 asientos

Si el número de filas es 60 entonces

Asientos de filas

60 x

5 4

Uso de la regla de productos cruzados

x = 60 * 4/5 = 48

en 60 filas habrá 48 asientos

English

First the ratio of the rows to the seats is found out

40 : 32

Dividing by 8

5: 4

Using this ratio we can find the number of seats in the given number of rows.

If the number of rows is 64 then

Rows           seats

64                 x

5                   4

Using cross product rule

x= 64*4/5= 51.2

In 64 rows there will be 51 seats

If the number of rows is 60 then

Rows           seats

60                 x

5                   4

Using cross product rule

x= 60*4/5= 48

in 60 rows there will be 48 seats