Calculate the average rate of change of fover the interval -3≤x≤9. Show the calculations that lead to your answer.

Answer:9x-4

Step-by-step explanation:

Answer:

It simplifies to 9x-4

x= 4/9 or 0.4

Step-by-step explanation:

Answer:

5x-8=42

Step-by-step explanation:

5x-8=42

   +8  +8

5x=50

50÷5

10

Answer:

a

Step-by-step explanation:

Let's look at Enrique:

He starts with $50 and every time he buys lunch his account goes down by 5.  The y would represent how much money he has left in his account.

So, say he buys 3 lunches how much is in his account if he started with 50?

50 - 5-5-5 = 35

Use the equation

50 - 5(3) = y

50 - 15 = y

35 = y

Answer:

3

Step-by-step explanation:

We need to isolate x in order to solve it:

First, subtract 4 from both sides

15 - 3x = 2x

Add 3x to both sides

15 = 5x

Divide each side by 5 to get x

x = 3

Answer:

Length = 9

Step-by-step explanation:

7^2 + 4sqrt2^2 = x^2

49 + 16*2 = x^2

49+32 = x^2

x^2=81

x=9

:] (Tell me if this is wrong)

Answer:

There are 3 tennis balls in every can

Step-by-step explanation:

18/6 = 3

Answer:

6x^2-x-2

Step-by-step explanation:

Por medio de expresiones trigonométricas y el diagrama geométrico se concluye los dos barcos tienen una distancia aproximada de 129.441 metros.

En este problema se debe determinar la distancia entre dos barcos. La situación es representanda por dos triángulos rectángulos con un cateto vertical común, correspondiente a la altura del faro. La distancia entre los barcos se determina mediante la siguiente expresión trigonomética:

d = 30 / tan 5° - 30 / tan 8°

d ≈ 129.441 m

La distancia entre los dos barcos es aproximadamente 129.441 metros.

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By applying a rotation of 180° counterclockwise to triangle ABC, we have the following:

A rotation can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

In Geometry, rotating a point 180° about the origin in a clockwise or counterclockwise (anticlockwise) direction would produce a point that has the coordinates (-x, -y).

By applying a rotation of 180° counterclockwise (anticlockwise) to triangle ABC, the coordinate of the image of triangle A'B'C' is given by:

(x, y)                         →               (-x, -y)

Points at A = (-4, 0)   →  Points at A' = (-(-4), -(0)) = (4, 0)

Points at B = (-7, -2)   →  Points at B' = (-(-7), -(-2)) = (7, 2).

Points at C = (-7, -2)   →  Points at C' = (-(-9), -(-9)) = (9, 9).

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Answer:

a = −b + p + 8

Step-by-step explanation:

a + b - 8 = p solve for a

a + b - 8 = p

subtract b from both sides:

a + b - 8  - b = p - b

a - 8 = p - b

add 8 to both sides:

a - 8 + 8 = p - b + 8

a = p - b + 8

rearrange for alphabetical order:

a = −b + p + 8

Answer:

a = p + 8 - b

Step-by-step explanation:

Step 1: Add 8 both sides

[tex]\displaystyle{a+b-8+8=p+8}\\\\\displaystyle{a+b=p+8}[/tex]

Step 2: Subtract b both sides

[tex]\displaystyle{a+b-b=p+8-b}\\\\\displaystyle{a=p+8-b}[/tex]

Note: You can also subtract b both sides first then add 8 both sides.

Therefore, the new equation when a-term is the subject is [tex]a=8+p-b[/tex].

Please let me know if you have any questions!

Answer:

Choice A I think, i'm not really sure!

Answer:

76%,4/5,0.9,9/8

Step-by-step explanation:

35 encyclopedias can be fit on the bookrack.

What is an encyclopedia?

An encyclopedia (American English) or encyclopaedia (British English) is a reference source or compendium that provides summaries of general or specific information to a certain topic or discipline. Encyclopedias are organized into articles or entries that are either alphabetically sorted by article name or by subject categories, or are hyperlinked and searchable by random access. The entries in encyclopedias are longer and more thorough than those in most dictionaries. In general, encyclopedia articles focus on factual information about the subject specified in the title, as opposed to dictionary entries, which focus on linguistic information about words, such as their derivation, meaning, pronunciation, use, and grammatical forms.

Width of bookrack = 61 1/4 inches

Width of an encyclopedia = 1 3/4 inches

no. of encyclopedias to be fit = (61 1/4)/(1 3/4)

                                                  = (245/4)/(7/4)

                                                  = 245/7

                                                  = 35

Hence, 35 encyclopedias can be fit on the bookrack.

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Answer:

6y + 3x + 9

Step-by-step explanation:

→ Combine all equivalent terms

4y + 2y + 3x + 6 + 3

→ Simplify

6y + 3x + 9

Answer:

3x + 6y + 9

Step-by-step explanation:

Combine like terms.

4y + 2y = 6y

6 + 3 = 9

3x does not have a like term.

6y + 3x + 9

Order the variables in alphabetical order. (In this case, x goes before y.)

Simplify.

3x + 6y + 9

Answer:

gvs-qvzp-hst please join once I beg you

Answer:

Plan A is cheaper by 2 dollars when watching 6 movies

Step-by-step explanation:

plan a: y=x+18

plan b: y=3x+8

6+18=24

18+8=26

A cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices, and 12 edges. 

The diagonal of a cube is √3 side.

If the volume of a cube is 4096 cm³ the diagonal of a cube is 16√3 cm.

A cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices, and 12 edges. 

The volume of a cube is given as:

Volume = side³

The diagonal of a cube = √3 side.

We have,

The volume of a cube = 4069 cm³

The volume of a cube = side³

4096 = side³

side = ∛4096

side = 16 cm

Now,

The diagonal of a cube:

= √3 side

= √3 x 16

= 16√3 cm

Thus,

The diagonal of a cube is 16√3 cm.

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95.61 percent of pig pregnancies are longer than 109 days with 0.8413 probability.

A standard normal distribution or z-table can be used to approximate the probability of multiple ranges of values for a random normal variable X with a particular mean and standard deviation. This method entails changing X to a typical normal variable Z.

The normal, random variable X equals the length of pregnancy.

The mean and standard deviation are then calculated.

u, Mean = 114 days

σ, Standard deviation = 5 days

Then, as follows, transform X to its standard normal variable:

Z = (X - u) ÷ σ

Z = (X - 114) ÷ 5

To determine the likelihood of a pregnancy lasting more than 109 days,

P(X ≤ 109) = P(Z ≤ 114 - 109 ÷ 5)

P(X ≤ 109) = P(Z ≤ 1)

P(Z ≤ 1) = 0.8413 when using a typical normal distribution or z-table.

The percentage of pig pregnancies that last more than 109 days,

P = (109 ÷ 114) × 100

P = 95.61%

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Answer:

42 dollars

Step-by-step explanation:

Jaynee's money is 11 out of (11+3) = 14   or 11/14ths of the total

11/14  x = 33

x = total amount = 33 * 14/11= 42 dollars

The constant of proportionality is 10 in the given graph which represents the total number of plants and number of seed packets used.

Equivalence between two ratios is referred to as proportionality in algebra. A and B are in the same proportion as C and D in the expression a/b = c/d. When one of a proportion's four quantities is unknown, a proportion is typically used to solve a word problem.

It is resolved by multiplying one numerator by the opposing denominator and equating the result to that of the other numerator and denominator. Any relationship that always has the same ratio is referred to as proportional.

For instance, the ratio of proportionality is the average number of apples per tree, and the quantity of apples in a crop is proportional to the number of trees in the orchard.

Here, when number of seeds packet is 1 plants are 10 and when seeds packet are 5 plants are 50, we can divide each of the variables to find the constant,

10/1 = 10

20/2 = 10

30/3 = 10

Thus, constant is 10 represented as y = kx

where y = no. of plants = 30

k = 10

x = no. of seeds packet = 3

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One box of oaties will be enough for two groups of children.

We can state the box of oaties is enough for everyone, if the amount required by number of children in each group is less than or equal to 12.

So, amount of cereal required by younger/older children = amount required by one child × number of children

Amount of cereal required by younger children = 1/3 × 11

Amount of cereal required by younger children = 11/3 cups of cereal

Amount of cereal required by older children = 3/4 × 10

Amount of cereal required by younger children = 15/2 cups of cereal

Amount of cereal = 12 - (11/3 + 15/2)

Taking LCM in the bracket, we get 6

Amount of cereal = 12 - (11×2 + 15×3/6)

Solving the bracket

Amount of cereal = 12 - (22 + 45/6)

Performing addition = 12 - (67/6)

Amount of cereal = (12×6 - 67)/6

Amount of cereal = 72 - 67/6

Performing subtraction in numerator

Amount of cereal = 5/6

As 5/6 cups of cereal is remaining, thus, a box of oaties will be enough for 11 younger children and 10 older children.

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The complete question is -

Diane serves breakfast to two groups of children at a daycare center. One box of oaties contains 12 cups of cereal. She needs 1/3 cup for each younger child and 3/4 cup for each older child. Todays group includes 11 younger children and 10 older children. Is one box of oaties enough for everyone?

Answer

The slope of segment AB is equal to the slope of the segment BC.

Explanation

Similar triangles have the same set of interior angles.

And it is one these angles, that determines the slope of the line segment AB or BC.

For the two triangles, that angle is the same because they are similar triangles.

So,

The slope of segment AB is equal to the slope of the segment BC.

Hope this Helps!!!

Answer:

[tex]125x^{18}y^{6}[/tex]

Step-by-step explanation:

Given expression:

[tex]\left(5x^6y^2\right)^3[/tex]

Apply the exponent rule that states that raising a number to a power of 1 yields the original number:  5 = 5¹.

[tex]\implies \left(5^1x^6y^2\right)^3[/tex]

[tex]\textsf{Apply exponent rule} \quad (abc)^n=a^n \cdot b^n \cdot c^n:[/tex]

[tex]\implies \implies \left(5^1\right)^3 \cdot \left(x^6\right)^3 \cdot \left(y^2\right)^3[/tex]

[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]

[tex]\implies 5^{(1 \cdot 3)} \cdot x^{(6 \cdot 3)} \cdot y^{(2 \cdot 3)}[/tex]

[tex]\implies 5^3x^{18}y^{6}[/tex]

Carry out 5³:

[tex]\implies 5 \cdot 5 \cdot 5 \cdot x^{18}y^{6}[/tex]

[tex]\implies 25 \cdot 5 \cdot x^{18}y^{6}[/tex]

[tex]\implies 125x^{18}y^{6}[/tex]

The most appropriate choice for standard deviation will be given by-

Standard deviation is 1.41

What is Variance and standard deviation?

At first, it is important to know about mean of a data.

Mean gives the average value of the data.

Variance is calculated by taking the sum of the square of deviation of each value of the data set and then dividing the sum by the total number of values of the data set.

On taking the square root of the variance, we will obtain the standard deviation of the data set.

Here,

The data set is 2, 2.6, 3.2, 4.35, 4.7, 6.2

Mean = [tex]\frac{2 + 2.6 + 3.2 + 4.35 + 4.7 + 6.2}{6}[/tex]

          = 3.84

Variance = [tex]\frac{(2-3.84)^2+(2.6-3.84)^2+(3.2-3.84)^2+(4.35-3.84)^2+(4.7-3.84)^2+(6.2-3.84)^2}{6}[/tex]

               = [tex]\frac{11.9021}{6}[/tex]

               = [tex]1.983[/tex]

Standard deviation = [tex]\sqrt{1.983}[/tex]

                                = 1.41

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Answer:

it -8 2÷-14=-7 x=-7

-7+-1=-8

Answer:

He can buy 9 bagels

Step-by-step explanation:

6 divided by $0.65 gets you 9.230769230769231. We have to round this down so he can get 9 bagels.