A factory produces 350 smartphones per hour. How many smartphones can it produce in 4 days, given 24 hours in a day?

The rate of change of f on the interval [2, 4] is 6.

The rate of change of a function f on the interval [a,x] is the slope of the corresponding secant line m(sec), which is given by the following formula:

m(sec)=(f(x)-f(a))/(x-a)

To calculate the rate of change, we can take an example function f(x) = x^2. Let's say we want to find the rate of change of f on the interval [2, 4]. Using the formula from above, we get:

m(sec)=(f(4)-f(2))/(4-2)

= (4^2 - 2^2)/(4-2)

= (16 - 4)/2

= 12/2

= 6

Therefore, the rate of change of f on the interval [2, 4] is 6.

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Answer:

6x - 9

Step-by-step explanation:

18x -11 - (12x - 2)   Can be written

18x -11 -1(12x -2)  Distribute the -1

18x - 11 -1(12x) + (-1)(-2)

18x - 11 -12x +2  Combine like terms

6x -9

Answer:

Step-by-step explanation:

2590

Answer:

a. $2908.93

Step-by-step explanation:

We use the formula:

A = P( 1 + r)^t

P = $1986

r = 4% = 0.04

t = 23 years

Let's solve

A = 1986(1 + 0.04)^23

A = 1986( 1 + 0.04)

A = 1986( 1.04)^23

A = $4894.925

Now we take

$4894.925 - $1986 = $2908.925

$2908.925 round-up =  $2908.93

So, the answer is A

The thermometer functions because of temperature-related expansion and contraction. Conduction is the process by which heat moves from one item to another.

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equality of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to express the connection between two phrases on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

given

The thermometer will display a greater temperature as the liquid expands and rises as it gets hotter.

The thermometer functions because of temperature-related expansion and contraction.

Conduction is the process by which heat moves from one item to another.

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Our Pythagorean triplets will be (6,8,10), (5,12,13), and (3,4,5).

So what is the Pythagorean triplet?

The square of the greatest number in a Pythagorean triplet equals the sum of the squares of the other two numbers.

The greatest side in a right-angled triangle is called the hypotenuse.

So, in our first triplet A(6,8,10) the greatest side is 10. So, hypotenuse = 10.

= [tex]hypotenuse^{2}[/tex] = [tex]10^{2}[/tex] = 100.

Now, [tex]6^{2}[/tex] + [tex]8^{2}[/tex] = 36 + 64 = 100.

[tex]10^{2}[/tex] = [tex]6^{2}[/tex] + [tex]8^{2}[/tex]

Thus A(6,8,10) is a Pythagorean triplet.

In the second case B(5,12,13) hypotenuse = 13.

= [tex]hypotenuse^{2}[/tex] = [tex]13^{2}[/tex] = 169.

Now, [tex]12^{2}[/tex] + [tex]5^{2}[/tex] = 144 + 25 = 169.

[tex]13^{2}[/tex] = [tex]12^{2}[/tex] + [tex]5^{2}[/tex]

Thus B(5,12,13) is a Pythagorean triplet.

In the Third case C(7,13,15) Hypotenuse = 15.

= [tex]hypotenuse^{2}[/tex] = [tex]15^{2}[/tex] = 225.

Now, [tex]7^{2}[/tex] + [tex]13^{2}[/tex] = 49 + 169 = 218.

[tex]15^{2}[/tex] [tex]\neq[/tex] [tex]7^{2}[/tex] + [tex]13^{2}[/tex]

Thus C(7,13,15) is not a Pythagorean Triplet.

In the last case D(3,4,5) Hypotenuse = 5.

= [tex]hypotenuse^{2}[/tex] = [tex]5^{2}[/tex] = 25.

Now, [tex]3^{2}[/tex] + [tex]4^{2}[/tex] = 9 + 16 = 25.

[tex]5^{2}[/tex] = [tex]3^{2}[/tex] + [tex]4^{2}[/tex]

Thus D(3,4,5) is a Pythagorean triplet.

Therefore our three results A(6,8,10) B(5,12,13) and D(3,4,5) are Pythagorean triplets.

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The graph of the following coordinates can be graphed by plotting the points of given coordinates on the graph.

Coordinates are a pair of integers (also known as Cartesian coordinates), or occasionally a letter and a number, that identify a specific point on a grid, also known as a coordinate plane.

A point is a dot on a sheet of paper or in a plane. There are no lengths, widths, or heights in a point. It establishes a plane's position or location.

Plot the points according to the given coordinates. Connect all the points with with a smooth curve.

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As per the given volume, it take 223 minutes to fill the pool.

The term volume in math is defined as a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface and it measured as cubic units.

Here we have given that a 9,000-gallon pool is being filled at a rate of 40 gallon per minute.

Here we need to find the time taken to fill the pool.

While we looking into the given question, we have identified the following values,

Total volume of pool = 9000 gallon.

Amount of water filled in one minute = 40 gallon,

then the time take by the pool to fill is calculated by dividing the total amount by the amount of water per minute then we get,

=> 9000/40

When we simplify this one then we get,

=> 225

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a) To determine the distance covered by a bus in a given number of minutes, we can use the formula: distance = speed x time. Since the speed of the bus is given in miles per hour (mph) and we want to know the distance covered in minutes, we need to convert the time to minutes. Therefore, distance = speed x (time in minutes / 60).

b) To determine the distance covered by a bus traveling at sodi mph for 3 hours, we can use the formula: distance = speed x time.

distance = sodi x 3

c) To determine the distance covered by a bus traveling at sodi mph for 30 minutes, we need to convert 30 minutes to hours. Therefore, time = 30/60 = 0.5 hours.

distance = sodi x 0.5

It's important to note that I'm not able to understand the value of "sodi" as it is not a valid unit for speed or distance. Please provide the correct value for sodi.

Answer:

216.7 m/min

Step-by-step explanation:

1 km = 1000 m

1 hour = 60 min

13km/h = 13 (1000 m) / (60 min) = 216.7 m/min

Answer:216.6667

Step-by-step explanation:

kph × 16.66667

m/min =13 × 16.66667

m/min =216.6667

Time spend on science homework is 16 minutes and time spend on math homework is 48 minutes.

Two or more expressions with an Equal sign is called as Equation

Given that,

The time spend on math homework =  3 times time spend on science homework,

Also, total time spent on math and science both homework = 64 minutes.

Let time spend by Max on science homework is t minutes,

Then by given condition, time spend on math homework = 3t

Total time = 64 minutes

t + 3t = 64 minutes

4t = 64 minutes

Divide both sides by t

t = 16 minutes

Hence, Time spend on science homework is 16 minutes and time spend on math homework is 48 minutes.

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Similar to when a woman is 1 cm dilated, 2 cm dilation does not indicate that labor will start soon. If a woman is 2 cm dilated, some of them may give birth in a few of hours. For a few days or weeks until labor advances, some women will stay 2 cm dilated.

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The categories are usually "felony," "misdemeanor," and "infraction." Decisions on crime classification are made by state legislators; the determination focuses on the seriousness of the crime.

8.33% probability that Michael will be chosen first and Susan will be chosen second.

Initially, there are 4 people(Susan, John, Lisa, and Michael). The probability of Michael being chosen first is 1/4.

Now, suppose Michael was chosen.

There are 3 people(Susan, John and Lisa). The probability of Susan being chosen is 1/3.

What is the probability that Michael will be chosen first and Susan will be chosen second.

Multiplying these probabilities

8.33% probability that Michael will be chosen first and Susan will be chosen second.

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To enlarge a triangle by a scale factor of 3 we divide the longer side by the short side. 6 ÷ 2 = 3 and so, the scale factor is 3.

What is a scale factor?

A scale factor is a numerical value that is used to represent an object's larger or shrunk shape. It is a number that can be used to alter the size of any geometric figure or shape in relation to its initial size. It aids in adjusting the figure's size.

Here,

We have to determine how can we enlarge a triangle by a scale factor of 3.

We concluded that

To find the scale factor of enlargement, divide the longer side by the short side. 6 ÷ 2 = 3 and so, the scale factor is 3.

This means that all of the sides on the smaller shape have been multiplied by 3. It also means that all of the sides on the larger shape can be divided by 3 to make the smaller shape.

Hence, to enlarge a triangle by a scale factor of 3 we divide the longer side by the short side. 6 ÷ 2 = 3 and so, the scale factor is 3.

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No, 1234 is not an arithmetic sequence. A sequence is a list of numbers, arranged in a specific order.

An arithmetic sequence is a sequence of numbers in which the difference between any two consecutive terms is always the same. It is also known as an arithmetic progression.

The sequence 1234 does not have a common difference between its terms. It's just a set of numbers arranged in a specific order, but the difference between the terms is not always the same.

Arithmetic sequence has the general formula of a_n = a_1 + (n-1)d, where a_1 is the first term, d is the common difference, and n is the number of the term. The sequence 1234 doesn't follow this formula.

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Answer:

47,174,400 possible number plates

See important note at the bottom of the explanation

Step-by-step explanation:

The easiest way to handle a problem of this type is to note the following

There are 9 digits 1-9 that we can use for the first four characters of the license plate

So the number of ways to arrange the first 4 digits without repetition is
9  x 8 x 7 x 6 = 3024 possible ways

For the letters, assuming that we are using the English alphabet, the 5th spot where the first letter after the numbers is can be done in 26 possible ways since there are 26 alphabets.

For the second letter that will leave us with 25 possibilities

For the third and final spot there are 24 possibilities

This means that, without repetition, the letters can be arranged in 26 x 25 x 24 ways = 15,600 ways

Together we can arrange the digits and letters in 3024 x 15600 ways which works out to
3024 x 15600 = 47,174,400 ways or possible number  plates

Or we could simply write this in one step as

9 x 8 x 7 x 6 x 26 x 25 x 24 = 47,174,400 ways or possible number  plates

Note

Even though there are 10 digits 0 - 9, the question clearly states that we should choose from digits 1 through 9 only.

If we are allowed to use all 10 digits the first 4 digits can be put together in 10 x 9 x 8 x 7 = 78,624,000 ways

You should clarify this with your teacher.

The value of 3/x-1 - 4/x+3 is (13-x)/(x-1)(x+3)

Algebraic fractions are fractions using a variable in the numerator or denominator, such as . Because division by 0 is impossible, variables in the denominator have certain restrictions. The denominator can never equal 0.

The numerator and denominator are called the terms of the algebraic fraction.

We simplify the expression by finding the LCM of the denominator.

therefore 3( x+3) - 4(x-1))/(x-1)(x+3)

opening the parentheses

(3x+9-4x+4)/(x-1)(x+3)

= (13-x)/(x-1)(x+3)

Therefore the value of 3/x-1 - 4/x+3 is (13-x)/(x-1)(x+3)

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Standard form is ax^2 + bx + c. Vertex form is a(x-h)^2 + k, which reveals the vertex and axis of symmetry. Factored form is a(x-r)(x-s), which reveals the roots.

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One can use either the slope formula m = (y2 – y1)/(x2 – x1) or the standard line equation, y = mx + b to solve for the slope, m.

You can find the slope of the line by determining the rise and run of two locations on the line. The rise is the vertical change between two places, while the run is the horizontal change. The slope is calculated by dividing the climb by the run: Riserun = Slope Slope = rise and run.

Depending on the form of the equation in front of you, the procedure for calculating the slope will differ. If the equation is written as y = mx + c, the slope (or gradient) is simply m. If the equation is not in this form, attempt rearrangement. You will need to do the following to determine the gradient of additional polynomials:

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Answer:

180 cm

Step-by-step explanation:

I had to look up some of these equations

Central angle  'a' = 2 arcsin ( c/(2R) = 2 arcsin (120/(2*100) ) = 73.74°

d= R cos ( a/2) = 100 cos ( 73.74/2) = 80 cm

So from the cutout to the bottom will be   80 + 100 = 180 cm

To find the coordinates of a point, you simply need to know its location in the given space and to find the midpoint of a point you need to know the coordinates of the two given points and use the formula (x₁ + x₂)/2, (y₁ + y₂)/2.

A point in geometry is a location in space that is represented by a set of coordinates, typically in the form of (x,y) or (x,y,z) for a three-dimensional space.

To find the coordinates of a point, you simply need to know its location in the given space.

The midpoint of a point is the point that is exactly halfway between two given points. To find the midpoint of a point, you need to know the coordinates of the two given points. Once you have this information, you can use the following formula to find the midpoint:

(x₁ + x₂)/2, (y₁ + y₂)/2

For example, if the coordinates of point A are (3,4) and the coordinates of point B are (7,8), the midpoint of the two points would be ( (3+7)/2 , (4+8)/2 ) = (5,6)

In conclusion, finding the point and midpoint of a point is a fundamental concept in geometry. To find the point, we need to know its location in the given space, represented by the coordinates.

To find the midpoint of a point, we need to know the coordinates of the two given points and use the formula (x₁ + x₂)/2, (y₁ + y₂)/2. These concepts are widely used in mathematics, physics, engineering and other fields that deal with spatial relationships.

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A sentence must have a singular or plural subject and verb in order to be grammatically correct. To put it another way, the tenses of the subject and verb must match.

According to their structure and function, sentences can be divided into eight categories: declarative, interrogative, exclamatory, imperative, simple, compound, complex, and compound-complex sentences.

You must look at what a grammatical name accomplishes in an English sentence in order to recognise it. Consider: At this morning's assembly, Susan performed a song. You must take into account the work each unit performs in the sentence in order to identify the various units' grammatical names.

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The amount that her clothes weigh more than her books would be

= 57kg

The amount for the shipping cost for her school would be

= 5600+25400 = $31000

Postal Service:

The Postal Service is an American indie pop supergroup from Seattle, Washington, consisting of singer Ben Gibber, producer Jimmy Tamborello, and backing vocalist Jenny Lewis.

The band released her only album Give Up in 2003 on her Sub Pop Records to mostly positive reviews. The album reached his number 114 spot on the US Billboard 200 album chart and was certified platinum by the Recording Industry Association of America.  Laura Bergen joined the line-up for the entire tour, providing additional vocals and instruments, while Jen Wood and Jenny Lewis filled in for some shows.

According to the Question:

The mass of Moya's books = 70 kilograms

The mass of Moya's clothing = 127 kg

The difference between the both masses = 127 - 70 = 57kg

The cost per kg for books = $80 per kg

The cost per kg of clothing = $200

Therefore, the amount for the shipping cost for her school would be = (70×80) + (127 ×200)

= 5600+25400 = $31,000.

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A 3 variable graph can be graphed using a 3D scatter plot. The x, y, and z axes will represent the three variables. Each point on the graph will represent a combination of the three variables. The points can be connected to form a 3D line graph to illustrate the relationships between the variables.

1. Open a graphing software such as Microsoft Excel or a graphing calculator.

2. Choose the 3D scatter plot option.

3. Enter the values for each of the three variables.

4. The graph will appear with the x-axis, y-axis, and z-axis representing the three variables.

5. Each point on the graph will represent a combination of the three variables.

6. Optionally, you can connect the points to form a 3D line graph to illustrate the relationships between the variables.

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It is possible to construct a triangle whose sides are 3 cm 4 cm and 5 cm because the sum of two sides are greater than the third sides.

In the given question, we have to check that it is possible to construct a triangle whose sides are 3 cm 4 cm and 5 cm.

To check whether the given sides can make a triangle or not, we have to check that the sum of two sides always greater than the third side.

To check this we firstly add the 3 and 4

3 + 4 > 5

7 > 5

Now we add 3 and 5

3 + 5 > 4

8 > 4

Now we add 4 and 5

5 + 4 > 3

9 > 3

It is possible to construct a triangle whose sides are 3 cm 4 cm and 5 cm because the sum of two sides are greater than the third sides.

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The distance from Point B to Point C of the triangle will be 45 feet.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

Triangle ABC is similar to Triangle ADE. Then the equation is given as,

x / 15 = (40 + 20) / 20

x / 15 = 60 / 20

x / 15 = 3

x = 45 feet

The distance from Point B to Point C of the triangle will be 45 feet.

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The complete question is given below.

The base in the exponential function is greater than 1 because exponential growth is defined as a constant multiplication of the original value, rather than a constant addition as in linear growth. A base greater than 1 results in a growth rate that increases over time, while a base less than 1 results in a growth rate that decreases over time.

The exponential function is written as bˣ, where b is the base and x is the exponent. The base is the number that is being multiplied by itself a certain number of times, as determined by the exponent.

A base greater than 1 means that the value of the function is increasing at an increasing rate. This is because as the exponent (x) increases, the base (b) is being multiplied by itself more and more times, leading to a larger and larger result. This is known as exponential growth.

On the other hand, a base less than 1 means that the value of the function is decreasing at an decreasing rate. This is because as the exponent (x) increases, the base (b) is being multiplied by itself more and more times, leading to a smaller and smaller result. This is known as exponential decay.

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