7m2 + 3m + 4m2
What is the answer to this

Answer:

Step-by-Step Solution

0.4 = 2/5 as a fraction

To convert the decimal 0.4 to a fraction, just follow these steps:

Step 1: Write down the number as a fraction of one:

0.4 = 0.41

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As we have 1 numbers after the decimal point, we multiply both numerator and denominator by 10. So,

0.41 = (0.4 × 10)(1 × 10) = 410.

Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(4,10) = 2. So,

(4÷2)(10÷2) = 2/5 when reduced to the simplest form.

As describes in geometry the area of the rectangle = 288cm

what is geometry ?

The area of mathematics known as geometry is concerned with the characteristics of the surrounding space as well as the shapes of individual objects and their spatial relationships.

solution

radius of semicircle = 12

diameter will be = 24 and this is the length of rectangle s given in the question

area of the rectangle  = l*b

                                     = 24*12

area of the rectangle = 288cm

Hence the area of the rectangle = 288cm

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Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

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

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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Answer:

soy de ecuador p-by-step e

Answer: the answer is 2.25 kg

Step-by-step explanation:

The given sequence an=(2n 1)2(5n−1)2 converges or diverges with the same behavior as the sequence (4/25)^n. The option that suits the answer is option c.diverges. With the limit (4/25)

To determine if the sequence converges or diverges, we can use the limit definition of convergence.

First, we can simplify the expression inside the parentheses:

(2n + 1)^2 / (5n - 1)^2 = (4n^2 + 4n + 1) / (25n^2 - 10n + 1)

Then, we can use the fact that for two sequences {a_n} and {b_n}, if a_n / b_n converges to a non-zero constant, then {a_n} and {b_n} have the same convergence behavior.

So, let's take the limit of this new expression:

lim (n → ∞) [(4n^2 + 4n + 1) / (25n^2 - 10n + 1)]

We can use the highest degree terms in the numerator and denominator to simplify:

lim (n → ∞) [(4n^2 / 25n^2)]

This simplifies to:

lim (n → ∞) (4/25)

Since this limit is a non-zero constant, we can conclude that the sequence {an} converges or diverges with the same behavior as the sequence (4/25)^n.

Thus, the answer is (c) diverges.

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The outward flux of the vector field F across the boundary of the region D, which is the cube bounded by the planes x = ±1, y = ±1, and ±1, can be found using the divergence theorem.

The outward flux is the integral of the divergence of F over the volume enclosed by the boundary surface.The first step is to calculate the divergence of F. The divergence of a vector field F = P i + Q j + R k is given by div(F) = ∂P/∂x + ∂Q/∂y + ∂R/∂z. In this case, div(F) = ∂/∂x(5y - 4x) + ∂/∂y(-4z - 5y) + ∂/∂z(-3y - 2x). Simplifying these partial derivatives, we have div(F) = -4 - 2 - 3 = -9.

Applying the divergence theorem, we can relate the flux of F across the boundary surface to the triple integral of the divergence of F over the volume enclosed by the surface. Since D is a cube with sides of length 2, the volume enclosed by the surface is 2^3 = 8.

Therefore, the outward flux of F across the boundary of D is given by ∬S F · dS = ∭V div(F) dV = -9 * 8 = -72. The negative sign indicates that the flux is inward.

In summary, the outward flux of the vector field F across the boundary of the cube D, as described by the given vector components, is -72. This means that the vector field is predominantly flowing inward through the boundary of the cube.

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The square root of 25/16 = 1.20, and the set of numbers that contain the square root of 25/16 are 1 < x < 2.

Any integer's square root equals that same number, which, when squared, yields the original number.

Let's assume that m is a positive integer, and that √m.m = m.

A square root function is a one-to-one function in mathematics that receives a positive integer as an input and outputs the square root of that number.

Given that the number is 25/16.

Taking the square root of the individual values, that is numerator and denominator we have:

√25 / √16 = 5/4 = 1.20

Hence, the square root of 25/16 = 1.20, and the set of numbers that contain the square root of 25/16 are 1 < x < 2.

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Alice looks at a scatterplot that displays information for nine schools. The graph reveals a significant negative association.

The association between two sets of data is depicted by points on a scatter (XY) plot.  Statistics uses scatter plots because they can display the degree of connection, if any, between values of observable quantities or events (called variables).The graphs known as scatter plots show The dependent variable is represented on the Y-axis, and the independent variable or attribute is plotted on the X-axis.

here,

1)  parents income.. correct.

Second option..

2) 100+140+110

=350

Firstly option is right ans..

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The unknown angle x in the triangle is 80 degrees

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

The triangle

The unknown angle x is calculated using the sum of angles in a triangle theorem

So, we have

x + 60 + 40 = 180

Evaluate the like terms

x + 100 = 180

So, we have

x = 80

Hence, the unknown angle x is 80 degrees

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Answer:

amoung us

Step-by-step explanation:

Answer:

among us

Step-by-step explanation:

Step-by-step explanation:

q/8=5/4

q = 5/4 × 8

q = 5×2

q= 10

Answer:

the answer for this. question q is equal to 10

Answer:

Area of Shaded Region: 189 square centimeters

Step-by-step explanation:

~ To find the area of the shaded region, let us calculate the area of the rectangle added to the area of the two triangles, or the area of the whole triangle created from the two smaller triangles ~

1. Given dimensions of 15 by 9 centimeters, the area of the rectangle would be ⇒ 15 cm * 9 cm = 135 cm^2

2. It would be simpler if we were to consider the area of the larger triangle. The height in this case, by the Partition Postulate, would be 27 cm - 15 cm ⇒ 12 centimeters. Now provided that the shape with dimensions 15 cm by 9 cm is a rectangle, opposite sides are ≅, and thus ⇒ the base of this large triangle is 9 cm. That being said we can calculate the area of the triangle by   ⇒ 1/2 * base * altitude ⇒ 1/2 * 9 cm * 12 cm ⇒ 6 cm * 9 cm ⇒ 54 cm^2

3. The area of the shaded region is thus 135 cm^2 + 54 cm^2 ⇒ 189 cm^2

Area of Shaded Region: 189 square centimeters

Answer:

Step-by-step explanation:

To factor the equation u^2 - 4u + 4, we need to find two numbers that add up to -4 and multiply to 4.

The two numbers are -2 and -2 because:

-2 + (-2) = -4 and (-2)(-2) = 4

Using these numbers, we can factor the equation as:

u^2 - 4u + 4 = (u - 2)(u - 2) = (u - 2)^2

Therefore, the factored form of the equation is (u - 2)^2.

Answer:

28

Step-by-step explanation:

Jane spent $42 for shoes. This was $14 less than twice what she spent for a blouse . How much was the blouse?

Next, identify the numbers.

Jane spent $42 for shoes. This was $14 less than twice what she spent for a blouse . How much was the blouse?

Next, identify the key words. These include add, subtract, remove, spend, earn, less, more, times, twice, half, etc.

Jane spent $42 for shoes. This was $14 less than twice what she spent for a blouse . How much was the blouse?

Finally, convert everything into an equation.

42

=

2

⋅

blouse

−

14

Now, solve the equation.

56

=

2

⋅

b

l

o

u

s

e

b

l

o

u

s

e

=

28

Answer:

1) Each week Jesalea saves $4.80

2) She gets to spend $7.20 each week

Step-by-step explanation:

Each week she gets $12 however to calculate the amount she saves convert the percentage into a decimal. 40% can be turned into a decimal by dividing the percentage by 100 and removing the decimal point (40%/100=0.40). Then multiply $12*0.40 to get $4.80 as the saving amount for one week. To know what she spends subtract $12-$4.80 to get $7.20 that she spends.

Answer:

B

Step-by-step explanation:

the median is the middle value of the data set arranged in ascending order.

the stem and leaf diagram shows the data in ascending order.

there are 21 items of data from lowest 50 to highest 99

the middle value for 21 items is 10- 1- 10

that is the 11th item

counting from 50 the median is then 86

Answer:

5x + 8y= 40

Step-by-step explanation:

Answer:

m∠JKL = 120°

Step-by-step explanation:

The measure of an angle formed by a two tangents drawn from a point outside the circle is the the difference of the intercepted arcs

minor arc JL = 60     major arc JL =  360 - 60 = 300

m∠JKL = 1/2(300 - 60) = 1/2(240) = 120

The value of the integral ∫∫∫ e²(x² + y²) dV in cylindrical coordinates is h (e²a - 1) π.

To evaluate the integral ∫∫∫ e²(x² + y²) dV in cylindrical coordinates, to express the integral in terms of cylindrical coordinates and determine the appropriate limits of integration.

In cylindrical coordinates, the variables are represented as (ρ, θ, z), where ρ is the radial distance, θ is the angle in the xy-plane, and z is the vertical coordinate.

The region e can be described as the volume inside the cylinder x² + y² ≤ a², where a is the radius of the cylinder.

In cylindrical coordinates, the equation of the cylinder x² + y²= a² becomes ρ² = a².

Therefore, the limits of integration for ρ are 0 to a, the limits for θ are 0 to 2π (covering a complete revolution), and the limits for z depend on the height of the cylinder.

If the height of the cylinder is h, then the limits for z would be -h/2 to h/2.

express the integral in cylindrical coordinates:

∫∫∫ e²(x² + y²) dV = ∫(0 to 2π) ∫(0 to a) ∫(-h/2 to h/2) e²(ρ²) ρ dz dρ dθ the integrand e²(ρ²)  depend on the angle θ,  factored out of the θ integration.

∫∫∫ e²(x² + y²) dV = ∫(0 to 2π) ∫(0 to a) e²(ρ²) ρ ∫(-h/2 to h/2) dz dρ dθ

The innermost integration with respect to z simply evaluates to h:

∫∫∫ e²(x² + y²) dV = ∫(0 to 2π) ∫(0 to a) e²(ρ²) ρ h dρ dθ

The integration with respect to ρ can be done by substitution. Let u = ρ², then du = 2ρ dρ:

∫∫∫ e²(x² + y²) dV = ∫(0 to 2π) ∫(0 to a) e²u/2 h (1/2) du dθ

= (h/2) ∫(0 to 2π) ∫(0 to a) e²u du dθ

= (h/2) ∫(0 to 2π) [e²u] (0 to a) dθ

= (h/2) ∫(0 to 2π) (e²a - 1) dθ

= (h/2) (e²a - 1) ∫(0 to 2π) dθ

= (h/2) (e²a - 1) [θ] (0 to 2π)

= h (e²a - 1) π

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3 inches is 1/4 of 1 foot and 1/12 of 1 yard.

First, let's determine the fraction of 1 foot that is equivalent to 3 inches.

There are 12 inches in 1 foot.

To find the fraction, divide the number of inches you have (3) by the total inches in a foot (12):
3 inches ÷ 12 inches = 1/4
So, 3 inches is 1/4 of 1 foot.
Next, let's determine the fraction of 1 yard that is equivalent to 3 inches.

There are 36 inches in 1 yard (since 1 yard = 3 feet and 1 foot = 12 inches,

so 3 feet * 12 inches = 36 inches).

To find the fraction, divide the number of inches you have (3) by the total inches in a yard (36):
3 inches ÷ 36 inches = 1/12
So, 3 inches is 1/12 of 1 yard.

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When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.

According to me , independent is the word which is associated with multiplication when computing probabilities . Because when the events are independent then we multiply the probabilities .

According to the multiplication rule of probability, the probability of occurrence of both the events A and B is equal to the product of the probability of B occurring and the conditional probability that event A occurring given that event B occurs.

The probability of the union of two events is equal to the sum of individual probabilities. The union of two set contains all the elements of previous sets. The union is denoted by ∪. The equation for the students earnings will be expressed as P(A∪B). The occurrence of event A changes the probability of B then the events are dependent. If the probability of two events happening together is zero then the events are mutually exclusive.

Therefore,

When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.

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Answer:

Solve for x by simplifying both sides of the equation, then isolating the variable.

x=132,−118

Step-by-step explanation:

Let:

x = original sides.

x + 4 = new width

x - 2 = new feet

So:

(x + 4)(x - 2) = 91

x² - 2x + 4x - 8 - 91 = 0

x² + 2x - 99 = 0

Factoring:

(x + 11)(x - 9) = 0

x = -11 (the lenght can't be negative so this answer is not valid)

x = 9 ft

Answer:

It is -1

Step-by-step explanation:

Answer:

Sin(theta) = 3/5

Step-by-step explanation:

Remark

The Sin(theta) = opposite / hypotenuse

The opposite side is not defining the angle. The hypotenuse is the longest side of a right triangle.

In this case the opposite is 3

The hypotenuse = 5

Answer: Sin(theta) = 3/5

Answer:

y= -1x + 4 or y= -x + 4

Step-by-step explanation:

Answer:

To compare Bob and Alan's points per game, we can use the following summary statistics:

Mean: This is the average of the data set. It can be calculated by adding up all the values and dividing by the number of values.

Median: This is the middle value of the data set when it is arranged in order.

Range: This is the difference between the largest and smallest value in the data set.

Interquartile range (IQR): This is the range of the middle 50% of the data set, calculated as the difference between the 75th and 25th percentiles.

Mean absolute deviation (MAD): This is the average of the absolute differences between each value and the mean.

To compare the center of each player's data, the best measure of central tendency would be the mean. This is because it takes into account all the values in the data set and gives an overall average. The median can also be used, but it only considers the middle value and may not accurately represent the center if there are outliers in the data set.

To compare the spread of each player's data, the best measure of spread would be the range or IQR. This is because they give an idea of the range of values in the data set and how spread out the data is. The MAD can also be used, but it is a more complex calculation and may not provide as clear of an understanding of the spread of the data.

Based on the representations, summary statistics, and interpretations, it is not possible to determine if either friend is a basketball star without more context. A basketball star could have a high average points per game, a narrow range, and a small spread, but this would depend on the level of competition and the type of game being played. A player who consistently scores a high number of points and performs well under pressure could be considered a basketball star, but this cannot be determined solely based on the data presented.