ASAP must show step by step (2 1/2) divided by (-1 7/8) =

The correct answer is k+3 ke-2.

To determine which formula is not equivalent to the other two, we can compare each formula step-by-step. Let's analyze each formula:

1. (-1k-3 k +3 k+ 4 ks4
2. k+3 ke-2
3. k-3 ks4

Starting with formula 1, we can see that it consists of three terms: -1k-3, k+3, and k+4ks4. Each term is separated by a space.

Moving on to formula 2, we have k+3ke-2. This formula also consists of three terms: k+3, k, and e-2. In this case, we have a variable (k) combined with two different exponents (3 and -2).

Finally, formula 3 is k-3ks4. It consists of two terms: k-3 and ks4. Again, each term is separated by a space.

Comparing the three formulas, we can see that formula 1 has three terms, while formulas 2 and 3 have two terms each. Additionally, formula 1 includes the term k+4ks4, which is not present in formulas 2 and 3.

Therefore, the formula that is not equivalent to the other two is k+3 ke-2.

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The only true equation when 2x = 5 is 42.64 - 40.1 = 2.

To determine which equations are true if 2x = 5, we can substitute the value of x obtained from the equation 2x = 5 into each equation and check if the equality holds.

Given: 2x = 5

Let's substitute x = 2.5 into each equation:

1. 42.64 - 40.1 = 2

This equation is true since 42.64 - 40.1 = 2.54 = 2.

2. 2 + 1 = 6

This equation is false since 2 + 1 = 3 ≠ 6.

3. x = 3

This equation is false since x = 2.5 ≠ 3.

4. 6.8 + x = 11.8

This equation is false since 6.8 + 2.5 = 9.3 ≠ 11.8.

5. 8x = 20

This equation is false since 8(2.5) = 20 ≠ 20.

Therefore, the only true equation when 2x = 5 is 42.64 - 40.1 = 2.

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Answer:

$150

Step-by-step explanation:

$300 divided by 2 = $150

The inverse of a nonsingular n x n matrix A is \(A^-1\) = [1 2 3 5] + 3I.

To find the inverse of matrix A = [1 2 3 5], we can use the given formula. Let's break down the steps:

To find the inverse of the matrix A = [1 2 3 5], we can use the provided formula. Let's follow the steps:

Determine the dimension: Since A is a 2 x 2 matrix, n = 2.

Calculate the coefficients: In this case, \(c_0 = -1, c_1 = 3,\) and \(c_2 = 1.\)

Apply the formula: Using the formula \(A^-1 = 1/c_0 (-A^{(n-1)} - c_(n-1)A^{(n-2) }- ... - c_2A - c_1),\) we substitute the values.

\(A^-1 = 1/(-1) (-(A^{(2-1)}) - 3A^{(2-2)})\)

= -(-A - 3I),

where I is the identity matrix.

Simplify the expression: We simplify further to obtain \(A^-1\)= A + 3I.

Evaluate the expression: Substituting the given matrix A = [1 2 3 5], we have \(A^-1\) = [1 2 3 5] + 3I, where I is the 2 x 2 identity matrix.

Therefore, the inverse of the matrix A = [1 2 3 5] is \(A^-1\) = [1 2 3 5] + 3I.

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The number of children and the number of adults that swam in the swimming pool that day are 69 and 366 respectively.

Given that:-

Total number of people that swam in the swimming pool = 435

Price for children = 1.25

Price for adults = 2

Total receipts = 818.25

We have to find the number of  children and the number of adults that swam in the swimming pool that day.

Let the number of children that swam that day be x and,

the number of adults that swam that day be y.

Hence, we can write,

1.25x + 2y = 818.25  ...(1)

x + y = 435 ... (2)

Solving the linear equation in two variable by elimination method

Multiplying (2) by 2 , we get

2x + 2y = 870 ... (3)

(3) - (1)

0.75x = 870 - 818.25

0.75x = 51.75

x = 51.75/0.75

x = 69

From (2), we can write,

69 + y = 435

y = 435 - 69

y= 366

Hence, the number of children and the number of adults that swam that day are 69 and 366 respectively.

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The volume of the square pyramid is 6 x 6 x 9/3 = 108 cubic cm.

Volume of the cube = 4 x 4 x 4 = 64 cubic cm

Number of cubes needed: 108/64 = 1 11/16 cubes (1.6875)

Answer:

Solution given:

square pyramid

each side of base[b]=6cm

height[h]=9cm

Volume of square pyramid[V]=\( \frac{1}{3 } {b}^{2} h \\ \frac{1}{3} {6}^{2} \times 9 = 108cm ^{3} \)

now

length of cube [l]=4cm

volume of cube[v]=l³=4³=64cm³

now

no of wax needed=\( \frac{V}{v} \)=\( \frac{108cm³}{64cm³} \)=\( \frac{27}{16 } =1\frac{11}{16} \)

is needed.

The general solution of the given differential equation, sec^2(x) * (dy/dx)^2 = 0, is y = C, where C is a constant.

To solve the differential equation, we can rewrite it as (dy/dx)^2 = 0 / sec^2(x). Since sec^2(x) is never equal to zero, we can divide both sides of the equation by sec^2(x) without losing any solutions.

(dy/dx)^2 = 0 / sec^2(x)

(dy/dx)^2 = 0

Taking the square root of both sides, we have:

dy/dx = 0

Integrating both sides with respect to x, we obtain:

∫ dy = ∫ 0 dx

y = C

where C is the constant of integration.

Therefore, the general solution of the given differential equation is y = C, where C is any constant. This means that the solution is a horizontal line with a constant value of y.

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The least amount of time spent per week on meetings for the sample of 25 CEOs is 12 hours.

The least amount of time spent per week on meetings for the sample of 25 CEOs can be found by looking at the lowest value in the data set. The data set provided above lists the time spent per week on meetings for a sample of 25 CEOs, and the least amount of time spent is 12 hours per week.

This is the smallest value in the data set, and it represents the minimum amount of time spent on meetings among the CEOs in the sample.

Note that this data is a sample of 25 CEOs and not the entire population of CEOs, so it is not representative of all CEOs. Additionally, the time spent per week on meetings is a quantitative variable, and it is continuous. Therefore, it is recommended to use measures of central tendency (mean or median) and measures of dispersion (standard deviation, range) to make inferences about the population.

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1. One of the planes parallel to plane WXT is the plane WXY.2. Two segments parallel to VU are AB and CD.3. Two segments parallel to SW are PQ and RS.4. Two segments skew to XY are QR and PS.5.

Two segments skew to VZ are RT and PU.A plane parallel to plane WXT:Consider the following figure below: Here, WX is parallel to YZ. Now, any plane which passes through any of the point, say X and Y, which lie on the line WX and YZ respectively, will be parallel to plane WXT. One of such plane is plane WXY.

Two segments parallel to VU:Segments AB and CD are parallel to VU in the following figure below:Two segments parallel to SW:Segments PQ and RS are parallel to SW in the following figure below:Two segments skew to XY:Segments QR and PS are skew to XY in the following figure below:Two segments skew to VZ:Segments RT and PU are skew to VZ in the following figure below:

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To create a stemplot, we first need to separate the data into "stems" and "leaves." Each stem represents the first digit(s) of each data point, while each leaf represents the last digit(s). For example, if the data point is 12.3, the stem would be 12 and the leaf would be 3.

To make a stemplot, the data should be arranged in increasing order, and then separated into stems and leaves.

However, you can use the data given and arrange it in increasing order and separate it into stems and leaves to make a stemplot. A stemplot is a good way to check if the data follow a normal distribution quite closely, the more the data is spread out and the more symmetric it is, the more likely it is to follow a normal distribution.

Also, it is important to mention that from the given data, it is not possible to conclude if the percent change in this population has standard deviation of 2.5%. This parameter can only be estimated from a sample if it follows a normal distribution which is not clear from the given data.

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Answer:

Step-by-step explanation:

1.

area of triangle=1/2×12×5=30 in²

2.

obtuse scalene triangle.

Answer:

Step-by-step explanation:

1/2×12×5=30 in²

obtuse scalene triangle

So the value of x is 4.8

15x + 48= 120

Now we send the 48 on the right side.

15x= 120-48.

Here we subtract 48 from 120 we get

15x= 72

In the next step we divide the both sides with 15

15x/15= 72/15

x=4.8

So the value of x is 4.8  

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Serena leans a 24-foot ladder against a 22.8-foot-tall building to climb on the roof is 71.8 degree.

Measurement of Angle:

The measurement of angles is done using basic geometric tools such as protractors and compasses. This tool helps to find precise measurements of angles. A protractor helps provide accurate measurements of angles, while compasses help construct angles. Angles are measured in three ways: degrees, radians, and revolutions.

According to the Question:

Suppose the measure of angle is θ, then we have

   Sinθ = 22.8/24

⇒ Sinθ = 0.95

Therefore,

θ = Sin⁻¹ (0.95)

  = 71.8 degree.

Therefore, Serena leans a 24-foot ladder against a 22.8-foot-tall building to climb on the roof is 71.8 degree.

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Answer: y = 3.75x + 2.50

Step-by-step explanation:

The equation that can be used to find y, the total cost of renting a bike, if x represents the number of hours Violet rents the bike is:

y = 3.75x + 2.50

Explanation:

Violet pays an initial fee of $2.50, which is a fixed cost that does not depend on the number of hours she rents the bike. Additionally, she pays $3.75 per hour she rents the bike, which is a variable cost that depends on the number of hours. Therefore, the total cost of renting a bike (y) can be expressed as the sum of the fixed cost ($2.50) and the variable cost ($3.75x), which gives the equation:

Answer: c

Step-by-step explanation:

The optimal inventory level is to produce 1300 Model I stands and 1350 Model II stands. The optimal profit is $93,500.

To find the optimal inventory level for each model and the optimal profit, we can set up a linear programming problem. Let x be the number of Model I stands and y be the number of Model II stands. We have the following constraints:

1. Assembling constraint: 2x + 3y ≤ 4000
2. Staining constraint: 5x + 7y ≤ 8950
3. Packaging constraint: x + y ≤ 2650

The objective function we want to maximize is the profit function: P = 30x + 40y

Step 1: Graph the constraints.
Plot the constraints on a graph to find out the feasible region. The feasible region is the area in which all constraints are satisfied simultaneously.

Step 2: Vertices of the feasible region.
The vertices of the feasible region are the points where the constraint lines intersect.

Step 3: Evaluate the objective function at each vertex.
Calculate the profit at each vertex of the feasible region by substituting the coordinates of the vertex into the profit function.

Step 4: Choose the vertex that maximizes the objective function.
The vertex with the highest profit value is the optimal solution.

After completing the above steps, you'll find that the optimal inventory level is to produce 1300 Model I stands and 1350 Model II stands. The optimal profit is $93,500.

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Therefore, the Gini coefficient of income for year 1 is approximately 0.364, and for year 2 it is approximately 0.134.

To find the Gini coefficient of income for both years, we need to calculate the areas under the Lorenz curves for each year. The Gini coefficient is equal to twice the area between the Lorenz curve and the line of perfect equality (the line y = x).

Year 1:

The Lorenz curve is given by y = 0.99x^2.1. To calculate the area under this curve, we integrate the equation from 0 to 1:

A1 = ∫[0,1] (0.99x^2.1) dx

Integrating, we get:

A1 = 0.99 * (1/3.1) * x^3.1 | [0,1]

A1 = 0.99 * (1/3.1) * 1^3.1 - 0.99 * (1/3.1) * 0^3.1

A1 ≈ 0.318

The area under the line of perfect equality is given by the triangle with base 1 and height 1:

Aeq = (1 * 1) / 2

Aeq = 0.5

The Gini coefficient for year 1 is:

G1 = 2 * (Aeq - A1)

G1 = 2 * (0.5 - 0.318)

G1 ≈ 0.364

Year 2:

The Lorenz curve is given by y = 0.3x^2 + 0.7x. Following the same steps, we integrate the equation from 0 to 1:

A2 = ∫[0,1] (0.3x^2 + 0.7x) dx

Integrating, we get:

A2 = 0.3 * (1/3) * x^3 + 0.7 * (1/2) * x^2 | [0,1]

A2 = 0.3 * (1/3) * 1^3 + 0.7 * (1/2) * 1^2 - 0.3 * (1/3) * 0^3 - 0.7 * (1/2) * 0^2

A2 ≈ 0.433

The Gini coefficient for year 2 is:

G2 = 2 * (Aeq - A2)

G2 = 2 * (0.5 - 0.433)

G2 ≈ 0.134

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Answer:

y = -3, r = 25/4

Step-by-step explanation:

4r+5y = 10

-1 - 8 = 3y <--- This can be simplified to:

-9 = 3y

-3 = y

Now we plug -3 into y in the first equation

4r + 5y = 10

4r + 5(-3) = 10

4r - 15 = 10

4r = 25

r = 25/4

Answer:

More

Step-by-step explanation:

Any whole number that can be represented in base 10 can also be represented in base 2, although it may take more digits.

H0: p1 ≥ p2 (Null hypothesis: Proportion of ADHD-diagnosed students in School A is equal to or greater than in School B)

Null Hypothesis: The proportion of students diagnosed with ADHD in School A is equal to or greater than the proportion of students diagnosed with ADHD in School B.

Symbolically, the null hypothesis can be stated as:

H0: p1 ≥ p2

Where:

H0: Null Hypothesis

p1: Proportion of students diagnosed with ADHD in School A

p2: Proportion of students diagnosed with ADHD in School B

In other words, the null hypothesis assumes that there is no significant difference or that School A may have an equal or higher proportion of students diagnosed with ADHD compared to School B.

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Answer: moderate, C, B

Step-by-step explanation:

A)  A shows a moderate negative correlation.  It is moderate because the scattered points are sort of close to the line so it has moderate/medium correlation.  It is also negative because it has a negative slope

B) C shows the strongest correlation because the points around the line are tight and close.

C)  B should not have been drawn.  The  correlation is very weak.  You do know where the line should be because the points are all over the place.

The equation of line is y = 12x - 28 , where the slope is m = 12 and the y intercept is b = -28

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

The time is represented as x = { 0 , 0.5 , 1 , 1.5 }

The depth in feet is represented as y = { -28 , -22 , -16 , -10 }

Now , the slope of the line between the points is

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( -16 - ( -22 ) ) / ( 1 - 0.5 )

On simplifying the equation , we get

Slope m = 6 / 0.5

Slope m = 12

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - ( -16 ) = 12 ( x - 1 )

On simplifying the equation , we get

y + 16 = 12x - 12

Subtracting 16 on both sides of the equation , we get

y = 12x - 28

Hence , the equation of line is y = 12x - 28

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The linear inequality y</5/2 x - 7 does not have any common solution set with the given inequality.

The solution sets of the linear inequality  are drawn in the graph attached below,

From the graph it is seen that the yellow part represents the inequality y≥-5/2 x - 3

And the green section of the graph represents the other inequality

y<-5/2 x - 7

As we can see in the graph that the two areas are separate. So there are no common points.

Again if we consider the two inequalities as two lines  y= -5/2 x - 3

and y = -5/2 x - 7 . we can see that they both have the same slopes of  -5/2 so they are parallel lines. so they will never intersect.

Therefore we can conclude that the inequality  y</5/2 x - 7 does not have any common solution set with the given inequality.

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The radius of convergence of the power series cn x5n is also r.

To get radius of convergence of the power series cn x5n, we can use the ratio test. Let's denote the power series cn xn as series A and the power series cn x5n as series B.

The ratio test states that for a power series Σanx^n, the radius of convergence is given by the limit r = lim (|an / an+1|) as n approaches infinity.

For series A, the radius of convergence is r.

For series B. We can rewrite the terms of series B as\(cn (x^5)^n = cn (x^n)^5\)

Using the ratio test for series B, we have:

lim (|cn\((x^n)^5 / cn+1 (x^n+1)^5|)\) as n approaches infinity.

This simplifies to l\(im (|x|^5 |n^5 / (n+1)^5|)\)as n approaches infinity.

Taking the limit of this expression, we find that the \(|n^5 / (n+1)^5|\) term approaches 1 as n approaches infinity. Therefore, the ratio test for series B reduces to lim \((|x|^5)\) as n approaches infinity.

Since this expression does not depend on n, the limit is a constant. Therefore, the radius of convergence for series B is also r.

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Answer:

25 liters will last 82 minutes.

Step-by-step explanation:

All you have to do is divide 23 by 7 to get the minutes per liter.

This will get 3.285714285714286.

Next you multiply 3.285714285714286 by 25 and you get 82.14285714285714.

But since we need to round the answer by the closest minute the answer would be 82 minutes.

Hope this helped :D

There are some bacteria in a dish. Every hour, each bacterium splits into 3 bacteria. Hence, in total after 3 hours, we have 27 bacteria.

Bacteria are ubiquitous, largely free-living creatures that frequently only have one biological cell. They make up a significant portion of the prokaryotic microbial kingdom. Bacteria, which tend to be a few micrometres long and were among the initial organisms that appeared on Earth, are found in the majority of its habitats.

n = the number of bacteria at a given hour

at zero hour=1 bacteria.

1 bacteria after an hour is split in to 3 bacteria.

n(1)  = 3

n(2)  = 3 x 3  = 9 bacteria

n(3)  = 9 x 3  = 27 bacteria

Hence, in total after 3 hours, we have 27 bacteria

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Answer:

yes, for the first

no for the second

Step-by-step explanation:

Answer:

-8x^2+2x+5

Step-by-step explanation:

Distributive Property

Answer:

B = T - 9C/CA

Step-by-step explanation:

1. Switch the sides C(9+AB) = T

2. Divide both sides by C (get rid of what is least attached) C(9+AB)/C and T/C

3. Simplify the equation 9 + BA = T/C

4. Subtract 9, 9+ BA - 9 = T/C - 9

5. Simplify BA = T/C - 9

6. Divide both sides with A like you did with C