Find the average rate of change of g (x)=-2x³ +5x² from x=2 to x = 3.
Simplify your answer as much as possible.

11 x 7 + 11 x 4 is the expression of the total area as the sum of the areas of

each room.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

11 (7 + 4)

Using the property of multiplication over addition.

11 x 7 + 11 x 4

Thus,

11 x 7 + 11 x 4.

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Answer:

if you remember the bell curve 32 32 13.5 13.5 2.35 2.35 and .15 put the mean in the middle of the bell curve we find that 13.5 + 2.35 + .15 so

16% is your probablility

The value of s in the point (s,-3) after using slope formula is -4.

What is slope?

Slope is a term used to define how steep a line is. The rise of a line over the run of a line, or the change in the vertical direction (y) over the change in the horizontal direction, is the definition of slope (x). The slope is the angle at which one is moving forward or backward when skiing down a hill or climbing a mountain. Depending on what it is, the slope may occasionally be fairly flat or extremely steep. The slope of an object indicates how steep it is. Slope knowledge is crucial for daily decision-making. 

Using slope formula,

=> slope m = \(\frac{y_2-y_1}{x_2-x_1}\)

Now the given point  is ,

\((x_1,y_1)=(s,-3) \\(x_2,y_2)=(-8,-4)\)

=> slope m= 1/4

=> \(\frac{1}{4}= \frac{-4+3}{-8-s}\)

=> \(\frac{1}{4} = \frac{-1}{-8-s}\)

=> -8-s=-4

=>-s=-4+8

=> -s=4

=> s =-4.

Hence the value of s is -4.

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Answer:

x = 31°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

x + 54° + 95° = 180°

x + 149° = 180° ( subtract 149° from both sides )

x = 31°

Answer:

Constant

Step-by-step explanation:

there numbers with no variables next to them and coefficient's do. :)

Answer:

constant

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

84x35=2940

2940x2=5880

84+21=105

35+21=56

105*56=5880

True, While "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

The statement "-1000 2/3 is not a real fraction" is true. A real fraction is a mathematical expression that represents a ratio of two real numbers. In a fraction, the numerator and denominator are both real numbers, and they can be positive, negative, or zero.

In the given statement, "-1000 2/3" is not a valid representation of a fraction. The presence of a space between "-1000" and "2/3" suggests that they are separate entities rather than being part of a single fraction.

To represent a mixed number (a whole number combined with a fraction), a space or a plus sign is typically used between the whole number and the fraction. For example, a valid representation of a mixed number would be "-1000 2/3" or "-1000 + 2/3". However, without the proper formatting, "-1000 2/3" is not considered a real fraction.

It's important to note that "-1000 2/3" can still be expressed as an improper fraction. To convert it into an improper fraction, we multiply the whole number (-1000) by the denominator of the fraction (3) and add the numerator (2). The result would be (-1000 * 3 + 2) / 3 = (-3000 + 2) / 3 = -2998/3.

In conclusion, while "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

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Answer:

6 marbles per bag

Step-by-step explanation:

42 marbles * 1 bag / 7 bags =

42 * 1/7 =

42/7 = 6 marbles per bag

1 bag represents each bag of the 7 total bags.

Multiply 1 bag / 7 bags with 42 marbles(total amount of marbles) to get the marbles in EACH bag.

Answer:

let x = marbles in a bag

x = 42/7

x = 6

(6) + (6) + (6) + (6) + (6) + (6) + (6)

This is 7 bags, total of 42 marbles

this is my own explanation moderator, please dont delete just because its almost the same with previous answer. well its because its the only way to solve it hehe but i add another explanation, i really dont want to get warnings for this kind of questions you knoww..

Step-by-step explanation:

Answer:

(-∞, 6) or [5, ∞)

Step-by-step explanation:

subtract 3

5x< -30 or 3x ≥ 15 .

divide

x < 6 or x  ≥ 5

a) To find the number of students getting more than 45 marks, we count the students whose marks are greater than 45 in the given list.

In the given list, the students with marks greater than 45 are: 50, 49, 47, 48, 49, 48, 47, 49, 48, 50, 47, 49, 48, 46, 47, 48, 47.

Counting these numbers, we find that there are 17 students who obtained more than 45 marks.

b) To find the number of students getting less than 45 marks, we count the students whose marks are less than 45 in the given list.

In the given list, the students with marks less than 45 are: 44, 44, 42, 41, 41, 42, 41, 44, 44, 42, 45, 45, 45, 44, 45.

Counting these numbers, we find that there are 15 students who obtained less than 45 marks.

c) To find the maximum number of students getting the same marks, we look for the mark that appears most frequently in the given list.

In the given list, the marks obtained by the students are: 44, 50, 44, 49, 42, 47, 45, 42, 44, 48, 49, 48, 47, 49, 47, 41, 45, 48, 41, 48, 41, 42, 47, 49, 49, 48, 50, 47, 49, 48, 46, 44, 45, 45, 46, 44, 42, 47, 48, 45.

Counting the frequency of each mark, we find that the marks 47 and 48 appear most frequently, with a count of 6 each. Therefore, the maximum number of students getting the same marks is 6.

d) To find the average marks obtained by the students in the class, we sum up all the marks and divide by the total number of students.

Total marks = 44 + 50 + 44 + 49 + 42 + 47 + 45 + 42 + 44 + 48 + 49 + 48 + 47 + 49 + 47 + 41 + 45 + 48 + 41 + 48 + 41 + 42 + 47 + 49 + 49 + 48 + 50 + 47 + 49 + 48 + 46 + 44 + 45 + 45 + 46 + 44 + 42 + 47 + 48 + 45

           = 1912

Total number of students = 40

Average marks = Total marks / Total number of students

                 = 1912 / 40

                 = 47.8

Therefore, the average marks obtained by the students in the class is 47.8.

e) To find the number of students getting more than the average marks, we count the students whose marks are greater than 47.8.

In the given list, the students with marks greater than 47.8 are: 50, 50, 49, 48, 49, 48, 49, 48, 50, 49, 49, 48, 48, 50, 49, 49, 48, 48, 47, 49, 49, 48, 50, 47,

49, 49, 48, 50, 47, 49, 49, 48, 48, 49, 48, 47, 48, 49, 49, 48, 50, 49.

Counting these numbers, we find that there are 40 students who obtained more than the average marks.

The Area of the shaded region is 20.86 in²

The area of a circle is calculated using the formula A = πr², where "A" is the area of the circle.

We know,
Area of Rectangle = l × w,      where l = length and w = width
Area of Circle = \(\pi r^{2}\),                where r = radius.

find the area of the rectangle,
length = 6 in and width = 4 in
Area of Rectangle = 6 × 4 = 24 inch²

Here given the circle radius is 1 inch, and we use π as 3.14

Area of Circle = \(\pi r^{2}\)
Area of Circle = 3.14 × 1² = 3.14 in²  

The area of the shaded region as per figure below is:

Area of the shaded region = Area of Rectangle - Area of Circle

Area of the shaded region = 24 - 3.14 = 20.86 in²

Therefore, the answer is D.  20.86 square inches.

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Answer:

the answer would be t=3.59 if i am reading this correctly

Step-by-step explanation:

Answer:

hey there!

Step-by-step explanation:

FIRST QUESTION

3.75

10%= 0.375

20%= 0.75

3.75 + 75 = 4.50

$4.50

SECOND QUESTION

18/100 = X/154

X/154 = 18/100

X*154/154 = 18*154/100

X = 2772/100

X = 27.72

154- 27.72 = 126.28

$126.28

An equation of the new graph is: A. y = ∣x - 4∣ - 9.

In Mathematics and Geometry, the translation of a graph to the right simply means a digit would be added to the numerical value on the x-coordinate of the pre-image:

g(x) = f(x - N)

Conversely, the translation of a graph downward simply means a digit would be subtracted from the numerical value on the y-coordinate (y-axis) of the pre-image:

g(x) = f(x) + N

Since the parent function y = ∣x∣ was translated 4 units to the right and 9 units down in order to produce the graph of the image, we have:

y = ∣x - 4∣ - 9

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

1.5 hours= 1hr 30m

Step-by-step explanation:

90÷15=6

6÷2=3

48÷16=3

3÷2=1.5

Mark me as brainliest if u found it helpful

Using proportional variables, it is found that it will take 1.5 hours for 16 men  to dig a trench 48 m long.

The time needed is direct proportional to the length of the trench, and inverse proportional to the number of men, thus, the equation is:

\(t = k\frac{l}{m}\)

In which:

15 men can dig a trench of 90 m long in 3 hours, thus \(m = 15, l = 90, t = 3\), this is used to find k.

\(t = k\frac{l}{m}\)

\(3 = k\frac{90}{15}\)

\(6k = 3\)

\(k = \frac{3}{6}\)

\(k = 0.5\)

Thus:

\(t = 0.5\frac{l}{m}\)

16 men, 48m long, thus \(l = 48, m = 16\), and the time is:

\(t = 0.5\frac{l}{m} = 0.5 \times \frac{48}{16} = 0.5(3) = 1.5\)

It will take 1.5 hours for 16 men  to dig a trench 48 m long.

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The equation in standard form of the line that has a slope of 1/4 and passes through the point (4, −8) is written as: -x + 4y = -36.

The equation of a line can be written in standard form as Ax + By = C.

Given the following:

A point (4, -8) = (a, b).

Slope (m) = 1/4.

Substitute m = 1/4 and (a, b) = (4, -8) into y - b = m(x - a):

y - (-8) = 1/4(x - 4)

y + 8 = 1/4(x - 4)

Rewrite the equation in standard form:

4(y + 8) = x - 4

4y + 32 = x - 4

4y = x - 4 - 32

4y = x - 36

-x + 4y = -36

The equation is: -x + 4y = -36.

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Answer:

$3000

Step-by-step explanation:

$150 / 1 sq ft * 20 sq ft

$150 / 1 sq ft = this means $150 per square feet :

Given that there area 20 Square feets, then

Cost in $ will be :

$150 * 20 sq feet

= $3000

Answer:

a

Step-by-step explanation:

brainly?

Answer:

P(0) = 4C0 * 0.75⁰ * 0.25⁴ = 0.00390625 . = 0.004

P(1) = 4C1 * 0.75¹ * 0.25³ = 0.046875 . . . = 0.047

P(2) = 4C2 * 0.75² * 0.25² = 0.2109375 . . = 0.211

P(3) = 4C3 * 0.75³ * 0.25¹ = 0.421875 . . . = 0.422

P(4) = 4C4 * 0.75⁴ * 0.25⁰ = 0.31640625 . = 0.316

Check:

P(0) + P(1) + P(2) + P(3) + P(4) = 1 . . . ok

Step-by-step explanation:

The Vales of x in the equations are : 1) 3 (2) 1  (3) 5  (4) 14  (5) 10 respectively

A linear equation in one variable is that in which the highest power of its variable is 1

The given equations and their solutions are

2x +1 = 7

By collecting like terms we have

2x = 3

x = 3

2) The given equation is 4x +7 = 11

By collecting like terms we have

4x = 4

Making x the subject we have

x = 1

3) 2x -3 = 7

By collecting like terms we have

2x = 10

Making x the subject we have

x = 5

4) 1/2 x - 3 = 7

By collecting like terms we have

1/2x = 7

x= 14

5) The given equation is 3x - 11 = 19

By collecting like terms we have

3x= 30

Therefore x= 10

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Answer:

628.6

Step-by-step explanation:

The maximum area is 12.25 square feet

From the question, we have the following parameters that can be used in our computation:

Perimeter = 14 feet

This means that

P = 2(l + w)

So, we have

2(l + w) = 14

Divide by 2

l + w = 7

Make l the subject

l = 7 - w

The area is calculated as

A = lw

So, we have

A = (7 - w)w

Expand

A = 7w - w²

Differentiate and set to 0

7 - 2w = 0

So, we have

w = 3.5

Substitute w = 3.5 in A = (7 - w)w

A = (7 - 3.5) * 3.5

Evaluate

A = 12.25

Hence, the area is 12.25 square feet

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Complete question

There is 14 feet of fencing available to enclose a rectangular region. For what value of area is the area maximum

3a. An equation in slope-point for this line is y + 2 = 1/2(x - 0).

3b. The equation in slope-intercept form is y = 1/2(x) - 2.

4a. An equation in slope-point form to represent this function is y - 3875 = -1/695(x - 19375).

4b. The cost of operating a car that has been driven 31250 km is $3892.086.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

Part 3.

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (0 + 2)/(4 - 0)

Slope (m) = 1/2

At data point (0, -2) and a slope of 1/2, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y + 2 = 1/2(x - 0)

y = 1/2(x) - 2

Part 4a.

Based on the information provided about Jay's business, we would determine the slope of the line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (3900 - 3875)/(2000 - 19375)

Slope (m) = 25/-17375

Slope (m) = -1/695

At data point (19375, 3875) and a slope of -1/695, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 3875 = -1/695(x - 19375)

Part 4b.

For the cost when x = 31250 km, we have:

y - 3875 = -1/695(31250 - 19375)

y = 17.086 + 3875

y = $3892.086.

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where r = 19 feet, h = 40 feet, and θ varies from 0 to 8π (4 complete revolutions) as t varies from 0 to 4.

An equation is a mathematical statement that shows the equality of two expressions, which are separated by an equals sign (=). An equation can have variables, constants, coefficients, and operators. The variables are represented by letters, and their values can change depending on the context of the problem. The constants are fixed values, and the coefficients are the numbers that multiply the variables. The operators are mathematical symbols that indicate the operation to be performed, such as addition (+), subtraction (-), multiplication (*), division (/), and exponentiation (^). Solving an equation means finding the value(s) of the variable(s) that satisfy the equation.

Given by the question.

Let's start by defining the necessary parameters. The radius of the staircase is given as 19 feet, and the height is given as 40 feet. The staircase makes 4 complete revolutions, so the total height of the staircase is 4 times the height of one revolution, which is 40 feet.

To find a vector parametric equation for the helical path, we need to consider the circular motion around the center axis, as well as the motion along the axis. Let's define the following parameters:

r: radius of the staircase (19 feet)

h: height of one revolution (40 feet)

θ: angle of rotation around the center axis (in radians)

z: height along the center axis

The circular motion around the center axis can be described by the following parametric equation:

x = r cos(θ)

y = r sin(θ)

z =???

To find the equation for z, we need to consider the motion along the center axis. Since it takes one hour to stroll up one revolution, and there are 4 revolutions in total, the time it takes to stroll up the entire staircase is 4 hours. Therefore, we can use t as a parameter that varies from 0 to 4, and define z as:

z = (h/4) t

Note that we divide h by 4 to scale the parameter t to the interval [0,4].

Putting it all together, the vector parametric equation for the helical path is:

r(t) = <r cos(θ), r sin(θ), (h/4) t>

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Answer:

To go to (-7,0) on a graph on the x axis go to the left 7 times and plot your point

Step-by-step explanation:

\( \: \: \: \: \)

Answer:

$3,636.70

Step-by-step explanation:

Given the following:

Initial price of Gold (A) = $2500

Rate of appreciation (r) = 5.5% = 0.055

Worth of gold in 7 years will be?

Period (p) = 7

Using the compound interest formula :

Let F = final amount

F = A( 1 + r/n)^nt

n = number of times Appreciation occurs per period.

Since rate compounds yearly, then, n = 1

F = $2500( 1 + 0.055/1)^(7*1)

F = $2500(1 + 0.055)^7

F = $2500(1.055)^7

F = $2500(1.454679161133794609375)

F = $3636.6979

Amount in 7 years = $3,636.70

Answer: c

Step-by-step explanation:

5.00 can be divided by 2 and this the out come 2.5(y)

same goes with 12.50 but by 5 and equal 2.5 (x)

if you have trouble theirs a calculator called Desmos.