What is the increasing and decreasing intervals of this graph?

Answer:

$3.50

Step-by-step explanation:

4 2/3 x 0.75 = $3.50

Answer:$3.5

Step-by-step explanation:

The shaded area of the 22mm face of the cylinder is approximately 380 square millimeters.

To find the shaded area of the 22mm face of the cylinder, we need to determine the area of the circular face.

The formula for the area of a circle is:

Area = π * radius^2

The radius of the circular face is half of the diameter, which is 22mm, the radius would be 22mm / 2 = 11mm.

Substituting the radius into the area formula:

Area = π * (11mm)^2

Calculating the value:

Area ≈ 3.14159 * (11mm)^2

≈ 3.14159 * 121mm^2

≈ 380.1327mm^2

Rounding the area to the nearest whole number:

Area ≈ 380mm^2

Therefore, the shaded area of the 22mm face of the cylinder is approximately 380 square millimeters.

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By considering the planet's diameter as the distance from its center, we can determine the gravitational acceleration at that altitude. At an altitude equal to the planet's diameter, the gravitational acceleration would be 3.825 m/s² on this hypothetical planet.

The inverse square law of gravity states that the gravitational force decreases as the square of the distance from the center of mass increases.

Since the diameter of the planet is equal to twice the radius, the altitude equal to the planet's diameter is equivalent to being at a distance twice the radius away from the center of mass.

Let's denote the planet's surface gravitational acceleration as "g" and the radius as "R".

Using the inverse square law, we can calculate the gravitational acceleration at an altitude equal to the planet's diameter as follows:

g_altitude = g * (R / (2R))²

= g * (1/4)

= g/4

= 15.3 m/s² / 4

= 3.825 m/s²

Therefore, at an altitude equal to the planet's diameter, the gravitational acceleration would be 3.825 m/s² on this hypothetical planet.

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Answer:

7/10x+2 1/2y+6

9x² - 225 = 0

(3x - 15)² = 0

or

(3x + 15) (3x - 15) = 0

Answer:

Westmoreland County, Virginia

The equations that are quadratic in form include:

A. x⁴ – 6x²– 27 = 0

D. 6x⁴ = -x² + 5

E. 8x⁴ + 2x² – 4x = 0

A quadratic equation simply refers to the equation which is in an algebraic equation that is of the second degree.

It should be noted that a quadratic equation is in the form of ax² + bx + c = 0.

In this situation, a and b are the coefficients while c is the constant in the equation.

Therefore, based in the information given, the correct options are A, D, abd E.

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Answer:

The equations that are quadratic in form include:

A. x⁴ – 6x²– 27 = 0

D. 6x⁴ = -x² + 5

E. 8x⁴ + 2x² – 4x = 0

Step-by-step explanation:

Answer:

Hello,

The sum is 8325.

Step-by-step explanation:

Those numbers are 60,75,90,...,495.

There is (495-60)/15+1=30 numbers

Like Gauss, we add twice those numbers :

(60+495)*30/2= 8325.

Answer:

The equation that would give the number of parts produced per hour, \(P_H\) is given as follows;

\(P_H\) = P/H - 100/H

Step-by-step explanation:

The given parameters are;

The number of parts produced is given by the equation, P = 14·x + 100, where x represents the number of hours worked on a particular day

The number of hours worked = H

Therefore, we have;

P = 14·H + 100

At H = 0, P₀ = 100

At H = 1, P = 114

At H = 2, P = 128

Therefore, the rate of change of the number of parts produced with the number of hours spent = The number of parts produced per hour, ΔP/ΔH = \(P_H\), is given as follows;

ΔP/ΔH = \(P_H\) = (P - P₀)/(H - 0) = P/H - P₀/H = (128 - 100)/(2 - 0) = 14

∴ The number of parts produced per hour, \(P_H\) = P/H - 100/H.

Answer:

0.0000612

Step-by-step explanation:

Answer: 86 I believe

Step-by-step explanation:

Answer:

The answer is D.

Sum means addition. So, you would be adding a and b. Remember this; a - b = difference, a * b = product, a ÷ b = quotient, and a + b = sum. Good luck!

Answer:

d) a+b

Step-by-step explanation:

For this question we can think of a and b as different numbers just for the sake of making the question easier. For example "a" could be 2 and "b" could be 3 (a=2 and b=3).

(However, keep in mind that "a" and "b" can be any number and that we don't know their values. But we can assign some values to them in order to solve the question more easily)

So if a=2 and b=3 in our example the notation for their sum would be 2+3. If we just put a for 2 and b for 3 we get a+b, which is the answer

By using the formula for surface area of cuboid, it can be calculated that

Cost of polishing 32.48 \(m^2\) of box is 779.52

What is surface area of cuboid?

The total space which is occupied by the surface of the cuboid is called surface area of cuboid.

If l is the length, b is the breadth and h is the height of the cuboid, then surface area of cuboid is given by the formula

Surface area = \(2 \times (l \times b + b \times h + l \times h)\)

Length of cuboid = 400 cm

Breadth of cuboid = 220 cm

Height of cuboid = 120 cm

Surface area of cuboid = 2 \(\times\) (400 \(\times\) 220 + 220 \(\times\) 120 + 400 \(\times\) 120)

                                      =  2 \(\times\) 162400

                                      = 324800 \(cm^2\)

                                      = 32.48 \(m^2\)

Cost of polishing 1 \(m^2\) of box = 24

Cost of polishing 32.48 \(m^2\) of box = 32.48 \(\times\) 24

                                                         = 779.52

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Considering the dimensions of the rectangular prism and it's volume, it is found that:

The volume of a rectangular prism is given by the multiplication of the dimensions of the prism, which are the width symbolized by w, the height symbolized by h and the length symbolized by l, that is:

V = l x w x h.

In the context of this problem, from the image, the dimensions are given as follows:

Then the polynomial expression regarding the volume of the prism is obtained as follows:

V(x) = 2x(x - 3)(2x - 5)

V(x)= 2x(2x² - 11x + 15)

V(x) = 4x³ - 22x² + 30x.

The features of the polynomial expression V(x) = 4x³ - 22x² + 30x is obtained as follows:

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Answer: (3.5,-2)

Step-by-step explanation:

To solve this problem, all we have to do is plug in y=-2 into either equations from step one to find the coordinate. To make sure we have the right x-coordinate, let's plug in y for both equations.

4x-7y=28        [plug in y=-2]

4x-7(-2)=28    [multiply]

4x+14=28       [subtract both sides by 14]

4x=14              [divide both sides by 4]

x=3.5

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

6x-5y=31        [plug in y=-2]

6x-5(-2)=31    [multiply]

6x+10=31       [subtract both sides by 10]

6x=21             [divide both sides by 6]

x=3.5

Now, we know the solution to the system is (3.5,-2).

Answer:

(3.5, -2)

Step-by-step explanation:

Hi there!

We are given a system of equations, and the value for y is already solved (y=-2)

We want to find the value of x

To do that, substitute -2 as y into either one of the equations in the system (the system has the equations 4x-7y=28 and 6x-5y=31) and solve for x

Let's use 4x-7y=28, although picking 6x-5y=31 is completely fine

Substitute -2 as y into the equation

4x-7(-2)=28

Multiply

4x+14=28

Subtract 14 from both sides

4x=14

Divide both sides by 4 and simplify

x=7/2, or 3.5

We found the value of x in the system

Substitute the values of x and y into a point form (x, y)

The solution is (3.5, -2)

Hope this helps!

Answer:

-1

Step-by-step explanation:

Mode is the number that appears most often

−1, 0, 3, 4, −3, −1

-1 appears twice which is more than any other number

-1 is the mode

Answer:

A (equals -320.0064 just like in the question)

Answer:

b

Step-by-step explanation:

Given:

Consider the below figure attached with this question.

To find:

The value of x.

Solution:

According to the exterior angle theorem, the exterior angle of a triangle is equal to the sum of two opposite interior angles.

In triangle ABC, using exterior angle theorem, we get

\(\angle ACD=\angle ABC+\angle BAC\)

\(x=75^\circ +30^\circ \)

\(x=105^\circ \)

The value of x is 105 degrees.

Therefore, the correct option is C.

An algebraic expression which models the given context would be written as s + 0.02s = 1.05s.

Price can be define as an amount of money which is primarily set by the seller of a good (product), and it must be paid by a buyer to the seller, so as to enable the acquisition of this good (product).

An algebraic expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

Let s represent the price of a pair of shoes.

Therefore, an algebraic expression which models the given context would be written as follows:

s + 0.02s = 1.05s.

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1) Without specific information about the container's shape, it is impossible to accurately identify the kind of solid figure it is. Common container shapes include rectangular prisms, cylinders, and spheres. Please provide more details about the container's shape for a precise answer.

2) The number of layers in the container depends on how the items inside are arranged and the dimensions of the container. If you can provide more information about the contents and their arrangement, I can calculate the number of layers.

3) The dimensions of the container cannot be determined without more information. If you can provide the measurements, such as height, width, and depth for a rectangular prism, or radius and height for a cylinder, I can give you the dimensions.

4) To calculate the number of cubic units in one layer, we need to know the dimensions of each layer and how items are arranged within it. Please provide more information about the layer's size and arrangement.

5) To find the total number of cubic units that fit in the container, multiply the number of cubic units in one layer by the total number of layers.

However, without information on the container's dimensions and the arrangement of layers, it is not possible to provide an exact number. Please provide more details to receive an accurate answer.

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Answer:

Three are 27 rows of saplings

Step-by-step explanation:

Since 21 saplings were left out of 750 saplings, the number of saplings arranged will be 750 -21 = 729 saplings

We were told that the number of saplings arranged per row is equal the number of rows

So let’s say the number of saplings arranged per row is x

Automatically, the number of rows too will be x

So the total number of saplings arranged will be;

x * x = x^2

This is equal to 729

x^2 = 729

x^2 = 27^2

Since power is equal, equate the base

This means that x = 27

This belief best illustrates the phenomenon known as political polarization, where individuals strongly align with their own political ideology and tend to view those with opposing beliefs as less correct and less trustworthy.

Political polarization refers to the deep divide and strong ideological alignment within a society, leading individuals to firmly adhere to their own political beliefs and view those with opposing views as less valid or trustworthy. Kate and Carmine's belief reflects this polarized mindset, where they both believe that their own political ideology is more correct and reliable compared to the opposing ideology.

Political polarization often leads to a lack of understanding and empathy between individuals with differing political beliefs, as each side tends to dismiss or devalue the perspectives of the other. This can hinder constructive dialogue and compromise, making it difficult to find common ground or reach consensus on important political issues. The phenomenon of political polarization has become increasingly prominent in many societies, shaping political discourse and contributing to social divisions.

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The expression of integral as a limit of Riemann sums of given integral \(\int\limits^5_b {1} \, x/(2+x^{3}) dx\)is 4 \(\lim_{n \to \infty}\)∑\(n(n+4i)/2n^{3}+(n+4i)^{3}\) from i=1 to i=n.

Given an integral \(\int\limits^5_b {1} \, x/(2+x^{3}) dx\).

We are required to express the integral as a limit of Riemann sums.

An integral basically assigns numbers to functions in a way that describes displacement, area, volume, and other concepts that arise by combining infinite data.

A Riemann sum is basically a certain kind of approximation of an integral by a finite sum.

Using Riemann sums, we have :

\(\int\limits^b_a {f(x)} \, dx\)=\(\lim_{n \to \infty}\)∑f(a+iΔx)Δx ,here Δx=(b-a)/n

\(\int\limits^5_1 {x/(2+x^{3}) } \, dx\)=f(x)=\(x/2+x^{3}\)

⇒Δx=(5-1)/n=4/n

f(a+iΔx)=f(1+4i/n)

f(1+4i/n)=\([n^{2}(n+4i)]/2n^{3}+(n+4i)^{3}\)

\(\lim_{n \to \infty}\)∑f(a+iΔx)Δx=

\(\lim_{n \to \infty}\)∑\(n^{2}(n+4i)/2n^{3}+(n+4i)^{3}4/n\)

=4\(\lim_{n \to \infty}\)∑\(n(n+4i)/2n^{3}+(n+4i)^{3}\)

Hence the expression of integral as a limit of Riemann sums of given integral \(\int\limits^5_b {1} \, x/(2+x^{3}) dx\)is 4 \(\lim_{n \to \infty}\)∑\(n(n+4i)/2n^{3}+(n+4i)^{3}\) from i=1 to i=n.

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2327 is the minimal number of consumers that should be sampled by the advertiser to be 95% confident that their estimate will fall within 2% of the genuine population proportion.

Given that,

TV viewers frequently doubt the validity of particular advertising. In an attempt to counter their critics, a large advertiser wants to determine the true proportion of consumers who believe what is depicted in ads. About 40% of individuals examined, according to preliminary studies, seem to believe what is depicted in advertisements.

We have to find what is the minimal number of consumers that should be sampled by the advertiser to be 95% confident that their estimate will fall within 2% of the genuine population proportion.

We know that,

Let

Population proportion (p)= 0.40

Margin of error = 2% = 0.02

Confidence level = 95% = 0.95

α = 1- 0.95 = 0.05

α/2 = 0.025

Let's find out the Z critical value using excel for the 95% confidence level,

Use the following excel command.

= ABS(NORMSINV(α/2))

= ABS(NORMSINV(0.025))

We will get, Z critical value = 2.17009

Sample size (n) = p(1-p)×(Zα/2)/E

n = 0.40(1-0.40)({2.17009}÷{0.05})²

Sample size (n) = 2327

Therefore, 2327 is the minimal number of consumers that should be sampled by the advertiser to be 95% confident that their estimate will fall within 2% of the genuine population proportion.

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This system of equations has the ordered pair (4, -6) as its only solution, as the two lines intersect only at that point.

What is the system of equations?

A system of linear equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations.

To create a system of equations that has one solution, we can write a second equation that intersects with the first equation in exactly one point.

One way to do this is to solve the first equation for y, then substitute the expression for y into a second equation. For example:

3x + y = 6

y = -3x + 6

This system of equations has one solution, as the two lines intersect at exactly one point.

To create a system of equations that has an infinite number of solutions, we can write a second equation that is identical to the first equation:=

3x + y = 6

3x + y = 6

This system of equations has an infinite number of solutions, as the two lines are coincident and overlap exactly.

To create a system of equations that has no solution, we can write a second equation that is parallel to the first equation:

3x + y = 6

3x + y = 8

This system of equations has no solution, as the two lines are parallel and do not intersect.

To create a system of equations that has (4, -6) as its only solution, we can write a second equation that passes through the point (4, -6):

3x + y = 6

y = -3x - 6 + 12

y = -3x + 6

Hence, This system of equations has the ordered pair (4, -6) as its only solution, as the two lines intersect only at that point.

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Answer:

the value is √11...........

Answer:the value is √11...........

Step-by-step explanation:

If mark and Alexis work together on a particular truck, they can load all of the packages in 90 minutes.

It will take 90 minutes for both Mark and Alexis to load all of the products.

Given,

that Mark can load a truck with items in 120 minutes and Alexis can do the same in 240 minutes, the average time for the two of them is as follows:

Average = (120 + 240) ÷ 2

= 360 ÷ 2

= 180

In this case, the term "Average" refers to the value that should be used to represent the sample. By dividing the total number of values in a particular set by the sum of all the values in that set, the average is determined. also known as the arithmetic mean.

Since there were two parties engaged, our calculation is 180 ÷ 2 = 90.

Hence, in this case, it is concluded that the correct answer is option B. 90 minutes.

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Answer:

i think its 2nd one and 3rd one

Step-by-step explanation: