10 4 4) Maureen has spent 12 9/10hours tutoring students in math and 6 3/4 tutoring students in science, Which choice is the best estimate for how many hours Maureen has spent tutoring?
(A) 15 hours
(C) 20 hours
(B)25 hours
(D) 30 hours​

The math club sold approximately 77 roses and 18 tulips.

Let's assume the number of tulips sold is represented by the variable 't', and the number of roses sold is represented by the variable 'r'.

According to the problem statement, the number of roses sold was 5 more than 4 times the number of tulips sold.

So, we can write the equation:

r = 4t + 5   (Equation 1)

The total revenue made by selling tulips and roses is $362. Tulips were sold for $3 each and roses for $4 each. We can write the equation for total revenue as:

3t + 4r = 362   ...(Equation 2)

Now, we can solve this system of equations to find the values of 'r' and 't'.

Substituting Equation 1 into Equation 2:

3t + 4(4t + 5) = 362

Simplifying the equation:

3t + 16t + 20 = 362

19t + 20 = 362

19t = 342

t = 342 / 19

t ≈ 18

Now, substituting the value of 't' back into Equation 1 to find 'r':

r = 4t + 5

r = 4(18) + 5

r = 72 + 5

r = 77

Learn more about Distribution table here:

brainly.com/question/28821285

#SPJ11

The solution of the nonlinear programming problem is non-negative.

To solve the given nonlinear programming problem using dynamic programming, we need to follow these steps:

We define a set of subproblems based on the constraints and the objective function. In this case, our subproblems can be defined as finding the maximum value of the objective function for different values of x₁, x₂, and x₃, while satisfying the constraint x₁ + 2x₂ + 3x₃ ≤ 7.

Next, we need to establish a recurrence relation that relates the optimal solution of a larger subproblem to the optimal solutions of its smaller subproblems. In our case, let's denote the maximum value of the objective function as F(x₁, x₂, x₃), where x₁, x₂, and x₃ are the variables that satisfy the constraint.

F(x₁, x₂, x₃) = max {5x₁ - x₁² + 3x₂ + x₃³ + F(x₁', x₂', x₃')},

where x₁ + 2x₂ + 3x₃ ≤ 7,

and x₁', x₂', x₃' satisfy the constraint x₁' + 2x₂' + 3x₃' ≤ 7.

Once the table is filled, the final entry in the table represents the maximum value of the objective function for the given problem. We can also backtrack through the table to determine the values of x₁, x₂, and x₃ that yield the maximum value.

Finally, we need to verify that the obtained solution satisfies all the constraints of the original problem. In our case, we need to ensure that x₁ + 2x₂ + 3x₃ ≤ 7 and that x₁, x₂, and x₃ are non-negative.

To know more about non linear programming here

https://brainly.com/question/29975562

#SPJ4

Answer:

12.056

Step-by-step explanation:

Answer:12.056

Step-by-step explanation:

Hence , equation of the line that is perpendicular to the line y = 6 and passes through the point (-4,-3) is x = -4 which is option (a) .

The line y = 6 could be a horizontal line through the purpose (0,6) on the coordinate axis. A line perpendicular thereto are vertical and thru the coordinate axis. this suggests its equation are x = a wherever a is that the x-coordinate. Since it should experience the purpose (-4,-3) then the equation is x =  -4.

Learn more about equation of line here :

https://brainly.com/question/13763238

#SPJ9

I cannot simplify these to where I have one answer.

4x+3(5y+x)

4x+15y+3x

7x+15y

7(a-3+4b)

7a-21+28b

13+x+8

21+x

x(6+x)-2x

6x+x-2x

7x-2x

5x

---

hope it helps

Answer:

The answer is 7.14

Step-by-step explanation:

good luck

Check the picture below.

Make sure your calculator is in Degree mode.

The length is decreasing by 7 in/sec and the width is shrinking at 10 in/sec , so the total area will decreased by -98 in/sec

The area is the total measurement of all the space enclosed by a closed geometric figure.

Using the area of rectangle to find the formula for the area and the perimeter shows us..

A = L*W

P = 2L + 2W

dA/dt = L * dW/dt. + dL/dt * W

dP/dt = 2 * ( dL/dt + dW/dt )

We are given the following information...

L = 8 inches

W = 4 inches

dL/dt = -7 in/sec ( decreasing so the sign is negative )

dW/dt = -10 in/sec ( decreasing so the sign is negative )

dA/dt =  L * dW/dt. + dL/dt * W

       =  8 * -10 +  -7 * 4

      =  -98 in/sec

To know more about Rectangle, Visit:

https://brainly.com/question/15019502

#SPJ4

The measure of angle F in triangle DEF is approximately 46.93 degrees.

To find the measure of angle F in triangle DEF, we can use the Law of Cosines.The Law of Cosines states that in a triangle with sides a, b, and c, and angle C opposite side c, the following equation holds:

\(c^2 = a^2 + b^2 - 2ab * cos(C)\)

In triangle DEF, we know the lengths of sides d, e, and f:

d = 12 ft

e = 10 ft

f = 9 ft

Let's denote the measure of angle F as angle C, and the length of side f as side c.

c = f = 9 ft

a = d = 12 ft

b = e = 10 ft

Using the Law of Cosines, we can solve for angle C (m∠ F):

\(c^2 = a^2 + b^2 - 2ab * cos(C)\)

\((9 ft)^2 = (12 ft)^2 + (10 ft)^2 - 2 * 12 ft * 10 ft * cos(C)\)

81 = 144 + 100 - 240 * cos(C)

-163 = -240 * cos(C)

cos(C) = -163 / -240

cos(C) ≈ 0.6792

To find angle C, we can take the inverse cosine (cos^-1) of 0.6792:

C ≈ cos^-1(0.6792)

C ≈ 46.93 degrees

Therefore, the measure of angle F in triangle DEF is approximately 46.93 degrees.

Learn more about trigonometry here:

https://brainly.com/question/13729598

#SPJ11

When using a risk-adjusted control chart to detect changes in a system, it is crucial to monitor both x and y variables. These variables represent the input/process parameters and output/performance measures, respectively.

To detect a change in the system using a risk-adjusted control chart, it is important to monitor x and y variables. These variables are typically associated with key performance indicators (KPIs) that provide valuable insights into the system's performance and potential variations. By monitoring x and y variables, we can effectively assess the system's stability, identify shifts or trends, and take appropriate actions to maintain control and improve performance.

The x variable represents the input or process parameter, while the y variable represents the output or performance measure. These variables are interconnected, as changes in the x variable can directly impact the y variable. Therefore, monitoring both variables provides a comprehensive understanding of the system and enables effective detection of any significant changes.

The choice to monitor x and y variables is based on the fundamental principle of understanding the cause-and-effect relationship within a system. By monitoring the x variable, we can observe variations or changes in the inputs or process parameters that might affect the system's performance. This allows us to proactively identify potential causes of any observed changes in the y variable.

Additionally, monitoring the y variable is essential as it reflects the actual performance or output of the system. By tracking the y variable, we can evaluate the system's performance against established targets or benchmarks. Deviations from the expected values or trends in the y variable can indicate a potential change or shift in the system that requires investigation and corrective actions.

Furthermore, employing a risk-adjusted control chart involves considering the inherent variability and potential risks associated with the process. Risk-adjustment allows for a more accurate assessment of system performance by accounting for various factors that may influence the output. By monitoring both x and y variables, we can better evaluate the system's stability while accounting for potential risks or confounding factors.

It is important to note that the choice of variables to monitor may vary depending on the specific context and objectives of the system. In some cases, additional variables such as z may be relevant and necessary to capture the complete picture of system performance. However, in general, monitoring x and y variables provides a solid foundation for detecting changes, understanding the underlying causes, and implementing appropriate control measures to maintain system stability and enhance overall performance.

In conclusion, when using a risk-adjusted control chart to detect changes in a system, it is crucial to monitor both x and y variables. These variables represent the input/process parameters and output/performance measures, respectively. By monitoring both variables, we gain a comprehensive understanding of the system, identify potential causes of variations, and effectively detect and respond to changes in the system.

Learn more about variables here

https://brainly.com/question/25223322

#SPJ11

The answer to the integral 0∫π/3 cos⁴xsinx dx using a u-substitution is -5/24 - √3/24, or approximately -0.315.To use a u-substitution to evaluate 0∫π/3 cos⁴xsinx dx, we will use the following steps:

Step 1: Choose a u-substitution that simplifies the integral. In this case, we will let u = cosx, which will allow us to rewrite the integral as 0∫1 u⁴(1-u²)du.

Step 2: Substitute the expression for u into the integral, and simplify. Using the substitution u = cosx, we have:

0∫π/3 cos⁴xsinx dx = 0∫1 u⁴(1-u²)du

Step 3: Evaluate the integral using standard integration techniques. Integrating u⁴(1-u²) with respect to u, we get:

∫ u⁴(1-u²)du = (1/5)u⁵ - (1/3)u³ + C

Step 4: Evaluate the integral from 0 to 1 using the substitution u = cosx. Substituting back, we have:

0∫π/3 cos⁴xsinx dx = (1/5)cos⁵x - (1/3)cos³x ∣₀ᴰ³/₃

Evaluating this expression at the limits of integration, we get:

(1/5)(cos⁵(π/3) - cos⁵(0)) - (1/3)(cos³(π/3) - cos³(0))

Simplifying, we get:

(1/5)(27/64 - 1) - (1/3)(3√3/8 - 1)

= -1/120 (27 - 64) - √3/24 + 1/3

= -5/24 - √3/24

Therefore, the answer to the integral 0∫π/3 cos⁴xsinx dx using a u-substitution is -5/24 - √3/24, or approximately -0.315.

learn more about u-substitution here: brainly.com/question/3127237

#SPJ11

The likelihood that the station will need 13 or more calls to determine a winner is 0.5 because each call is independent.

To learn more about independent, refer to:

https://brainly.com/question/25223322

#SPJ1

The Product line must be used to find out the number of ways.

What is an in line product?

In-line Product means any item in the entire line of in-season footwear Products that Candies offers to full-price retailers for resale.

Types of Product Line Decisions – Product Line Strategies

The product line decisions are

(1) product line expansion,

(2) product line reposition and

(3) product line contraction. The marketing executive will make a variety of product line decisions over the life of a product.

According to the product line, if there are x & y ways so if one of the event occur in the x ways and the second event are occur in y ways so the number of ways where the two event occurs which are in the sequence is x*y ways.

So the Product rule is used for choosing the ways for different events.

Learn more about product line

brainly.com/question/27499240

#SPJ4

The numbers that are in the range are:

\(\displaystyle\sf -3, -2, -1, 0, 1, 2\).

Solution: y \(\geq\) 1

Graph:

Answer:

3131 meters

3332 - 210 = 3122

3122 +9 = 3131 meters

Step-by-step explanation:

Answer:

Each combo costed $4.95

Step-by-step explanation:

To solve, simply divide 103.95 by 21, and then put a dollar sign. (Most teachers would count no dollar sign as incorrect/points off, so don't forget it!)

103.95 ÷ 21 = 4.95 → $4.95

Hope this helps!

Answer:

The general equation following the pattern becomes is 7 + (n - 1)×2

Where, n = The figure number - 1

Step-by-step explanation:

The pattern in the question can be described as follows;

Figure 2 = (5 + 2) squares boxes = 7 squares boxes

Figure 3 = (5 + 2 + 2) squares boxes

Figure 4 = (5 + 2 + 2 + 2) squares boxes

Therefore, the number of squares boxes per figure, form an arithmetic progression (a + (n - 1)d) with the first term a = 7, the common difference d = 2, and the n = the nth term of the series, such that the general equation following the pattern becomes;

7 + (n - 1)×2.

A negative number indicates that the solution is on the negative side of the number line. Therefore, the solution to the equation -2.7 + x = -3.5 is negative.

To determine whether the solution to the equation -2.7 + x = -3.5 is positive or negative, we need to solve the equation for x.

Starting with the given equation:

-2.7 + x = -3.5

We can simplify the equation by adding 2.7 to both sides:

x = -3.5 + 2.7

Performing the addition, we get:

x = -0.8

The solution to the equation is x = -0.8.

Now, to determine whether the solution is positive or negative, we look at the sign of the number.

In this case, -0.8 is a negative number since it is less than zero.

It's important to note that the negative sign in front of the number indicates that the value is less than zero. The positive or negative nature of a solution depends on the value itself. In this case, since -0.8 is less than zero, it is considered a negative solution.

Learn more about equation at: brainly.com/question/29538993

#SPJ11

The given statements are proved using set theory.

A⊆B, then X\B⊆X\A.

A⊆X iff A=X\(X\A).

X\B⊆X\A, then A⊆B.

a. Proving that if A⊆B, then X\B⊆X\A:

Assuming that A⊆B, then we can say that if x∈X\B, then x∉B.

Because A is a subset of B, x∉A implies x∉B. If x∉B, then x∈X\A.

As a result, X\B⊆X\A.

b. Proving that A⊆X if and only if A=X\(X\A):

Suppose A⊆X.

Then X\(X\A) = X ∩ A (the intersection of X and A) since the elements in X\A are precisely those that are not in A but in X.

Hence A = X ∩ A, which implies A ⊆ X\(X\A).

Conversely, suppose A = X\(X\A).

Let a be any element of A. This implies that a∈X but a∉X\A, so a∈A.

Therefore, A⊆X.

c. Proving that if A⊆X and X\B⊆X\A, then A⊆B:

If X\B⊆X\A, then B⊇A.

So, it remains to show that A⊆B. If a∈A, then either a∈B (because A⊆B) or a∈X\B (since a∉B).

If a∈X\B, then a∈X\A by X\B⊆X\A.

Therefore, a∉X\A, implying that a∉A.

This shows that A⊆B, and hence, the claim is true.

To know more about set theory, visit:

https://brainly.com/question/31447621

#SPJ11

There are 439 ways to select a committee of five members from the department if at least one woman and at least one man must be on the committee.

To find the number of ways to select a committee of five members of the department if at least one woman and at least one man must be on the committee, we can use the principle of inclusion-exclusion.

Let's first find the total number of ways to select a committee of five members from the department, regardless of gender. We can do this using the combination formula:

Total number of ways = C(12,5) = 792

Now, let's find the number of ways to select a committee of five members that includes only men. There are C(8,5) ways to select a committee of five men from a group of eight men.

Similarly, the number of ways to select a committee of five members that includes only women is C(12,5) ways to select a committee of five women from a group of twelve women.

However, we are asked to find a number of ways to select a committee that includes at least one man and at least one woman. So, we need to subtract the number of committees that include only men or only women from the total number of committees and add back the number of committees that include both men and women.

Using the inclusion-exclusion principle, we get:

Number of ways to select a committee with at least one man and at least one woman = Total number of ways - Number of committees with only men - Number of committees with only women + Number of committees with both men and women

Number of ways to select a committee with at least one man and at least one woman = 792 - C(8,5) - C(12,5) + C(8,1) * C(12,4)

Number of ways to select a committee with at least one man and at least one woman = 792 - 56 - 792 + 495

Number of ways to select a committee with at least one man and at least one woman = 439

Therefore, there are 439 ways to select a committee of five members from the department if at least one woman and at least one man must be on the committee.

Learn more about combination;

https://brainly.com/question/28065038

#SPJ4

The sum of the smallest positive 2-digit, 3-digit, and 4-digit multiples of 8 is 11,120.

To be a multiple of 8, a number must be divisible by 8, which means its last three digits must form a multiple of 8. Also, the first digit of the number cannot be 0, since it must be a two-digit number or larger.

Let's start with the two-digit multiple of 8. The smallest two-digit multiple of 8 is 16, which is not a three-digit or four-digit number. The next multiple of 8 is 24, which is also not a three-digit or four-digit number. The smallest two-digit multiple of 8 that is also a three-digit number is 104 (since 112 is not a multiple of 8).

Similarly, the smallest two-digit multiple of 8 that is also a four-digit number is 1008 (since 992 is not a multiple of 8).

Therefore, the three numbers we are looking for are 104, 1008, and 1008, with a sum of:

104 + 1008 + 10008 = 11120

So the sum of the smallest positive 2-digit, 3-digit, and 4-digit multiples of 8 is 11,120.

Learn more about arithmetic and number theory

brainly.com/question/3927222

#SPJ11

The proportionality used in the given diagram is 4/3=12/x if ΔABC and ΔDEF are similar. So, option 4 is correct.

Triangles are polygons because they have three vertices and three edges. This is one of the basic shapes in geometry.

In Euclidean geometry, any three non-collinear points determine a distinct triangle and a distinct plane (i.e. a two-dimensional Euclidean space). To put it another way, every triangle has a plane that it is contained in, and there is only one plane that contains every triangle. If and only if all geometry is the Euclidean plane, all triangles are contained in a single plane; however, this is no longer true in higher-dimensional Euclidean spaces. The topic of this article, unless otherwise stated, is triangles in Euclidean geometry, specifically the Euclidean plane.

We have to assume that ΔABC and ΔDEF are similar.

If the triangles are similar,

Then the proportionality is:

AB/BC=DE/EF

4/3=12/x

Therefore, the proportionality used in the given diagram is 4/3=12/x.

So, option 4 is correct.

To know more about triangle, visit:

https://brainly.com/question/2773823

#SPJ1

The population of interest is: A. all people in Emerald, Queensland.

The population of interest refers to the group of individuals that the research is trying to draw inferences about. In this case, the international fast food chain is looking to assess the level of interest in opening a franchise in Emerald, Queensland.

Therefore, the population of interest is all people who live in Emerald, Queensland, as they are the group that the research is trying to understand. The sample of 100 addresses that the research firm selected is just a subset of this population and the questionnaires are being sent to them to infer about the entire population.

To know more ablout food chain click on below link:

https://brainly.com/question/16065961#

#SPJ4

The Midpoint Formula between two points is given as, \((x,y)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\)

The center point of a straight line can be located using the midpoint formula. You may occasionally need to determine the difference between two specific numbers. The average of the two numbers is what you find there. To calculate the halfway number (i.e. point) of two coordinates, we similarly utilize the midpoint formula in coordinate geometry.

We can use this midpoint formula to determine the coordinates of the supplied line's midpoint in order to discover its location on a graph. Assuming that the line's ends are (x1, y2) and (x2, y2), the midpoint is determined using the formula shown below.

The Midpoint Formula is given as,

\((x,y)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\)

learn more about the midpoint formula,

https://brainly.com/question/30242987

#SPJ4

Option B "Perpendicular Lines"  is correct.

"Perpendicular Lines" are two lines that intersect at a right angle, forming 90-degree angles between them. Thus, Option B holds the truth.

Perpendicular lines are a fundamental concept in geometry and they are defined as two lines that meet at a right angle; forming four 90-degree angles. This means that the slopes of the two lines are negative reciprocals of each other. Perpendicular lines are important in many areas of mathematics and physics because they allow us to calculate angles, distances and other geometric properties.

Perpendicular lines are useful in many practical applications such as: architecture, engineering and construction. By understanding the properties of perpendicular lines, one can better understand the geometry of our world and solve real-world problems.

Learn more about Perpendicular lines brainly.com/question/1202004

#SPJ4

20 units is the measure of the length of IK.

A line is defined as the distance between two points. Given the following parameters

IK =5x

IJ = 4

JK =4x

If the point J is on IK, hence;

IK = IJ + JK

Substitute the given parameters to have:

5x = 4 + 4x

5x - 4x = 4

x = 4

Determine the length of IK

IK = 5x = 5(4)

IK = 20

Hence the measure of the length of IK is 20 units
Learn more on line and segment here: https://brainly.com/question/2437195

#SPJ1

Complete question

Point J is on line segment IK.Given IK =5x, IJ = 4 and JK =4x, determine the numerical length of IK

\(\bold{\huge{\underline{ Solution }}}\)

Here, we have,

We know that,

Area of kite

\(\bold{ = }{\bold{\dfrac{1}{2}}}{\bold{ {\times} d1 {\times} d2}}\)

Subsitute the required values,

\(\sf{ = }{\sf{\dfrac{1}{2}}}{\sf{ {\times}12 {\times} 6}}\)

\(\sf{ = }{\sf{\dfrac{1}{2}}}{\sf{ {\times}72 }}\)

\(\bold{ = 36 cm^{2}}\)

Hence, The area of quadrilateral PLAY is 36 cm²

Pythagoras theorem justifies our answers because the diagonals of rhombus are bisects each other at 90°

According to this theorem

That is ,

\(\bold{\red{ (Hypotenuse)^{2}= (Base)^{2}+ (perpendicular )^{2}}}\)

By using this theorem in Quadrilateral PLAY

[ Note :- Please refer the attachment for the correct diagram ]

Answer:

12,600 seconds

Step-by-step explanation:

There are 12,600 seconds in 3 hours and 30 minutes.

Answer:

correct answer = 2.367x107

wrong answer =  2.387x107

to find difference do big-small

or 2.387x107-2.367x107= (2.387-2.367)x107= 0.02x107=2.14