Felipe made $165 for 11 hours of work. At the same rate, how many hours would he have to work to make $225?

Answer:

-6x -6= 10

Step-by-step explanation:

-2(x +3) -4x= 10

Expand:

-2(x) -2(3) -4x= 10

-2x -6 -4x= 10

Simplify:

-6x -6= 10

Thus, the second option is correct.

Answer:

7

Step-by-step explanation:

Midpoint is X = (Xa + Xb)/2 = (2 + 12)/2 = 7

Answer:

Mean Absolute Deviation = 2.4

Step-by-step explanation:

Find you have to find the mean (average):

3 + 5 + 7 + 9 + 11 = 35

35 / 5 = 7

Mean = 7

The mean absolute deviation is the mean (average) of the distance from the other numbers (absolute means that if the number is negative it turns into a positive):

3 - 7 = 4

5 - 7 = 2

7 - 7 = 0

9 - 7 = 2

11 - 7 = 4

Now we have to find the mean of this numbers:

4 + 2 + 0 + 2 + 4 = 12

12 / 5 = 2.4

Mean Absolute Deviation = 2.4

Answer:

2.4

Step-by-step explanation:

Hope I helped :)

Answer: 10

Step-by-step explanation:

Answer:  Two of the angles are 144°  The other two angles are 36°

Step-by-step explanation: The sum of the angles of a parallelogram is 360°

There are two pairs of equal angles.

Using that information, we can create an equation

2x + 2(0.25x) = 360

2x + .5x = 360

2.5x = 360 . Divide both sides by 2.5 to find the value of x:

x = 144° Substitute 144 for x in the expression for the smaller angles

.25(144) = 36°

The measure of the angles in the parallelogram are 144 and 36 degrees.

A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are of equal length and the opposite angles are also equal.

a + b + c + d = 360

Opposite angles are equal, so

2a + 2(0.25a) = 360

2a + 0.5 = 360

2.5a = 360

a = 360/ 2.5

a = 144

the other angle = 180 - 144 = 36 degrees

To learn more about parallelograms, please check: https://brainly.com/question/17309595

By following these steps, you should be able to find the number of counties in Texas with childcare programs offering nighttime care for children.

To answer your question about how many of the 254 counties in Texas have child care programs that state they provide nighttime care for children, we would need to access current data on child care programs in Texas. Unfortunately, I do not have that specific data at the moment. However, I can guide you on how to find this information.
Begin by visiting the Texas Health and Human Services website (https://hhs.texas.gov) as they are responsible for overseeing child care licensing in the state. Look for information on licensed child care facilities that provide nighttime care.
Utilize websites such as Child Care Aware (https://www.childcareaware.org) or Child Care Finder (https://childcarefinder.com), where you can search for child care programs in Texas by county, and filter your search to include only programs offering nighttime care.
You may also want to check with local county websites or contact the County Clerk's office for information on child care programs within their jurisdiction, specifically those offering nighttime care.
Compile the data gathered from the above sources to determine how many of the 254 Texas counties have child care programs providing nighttime care for children.
By following these steps, you should be able to find the number of counties in Texas with child care programs offering nighttime care for children.

for more questions on childcare

https://brainly.com/question/12039060

#SPJ11

Answer:

12.5 liters

Step-by-step explanation:

To determine the value of b using Horner's scheme and the divisibility condition, we can perform synthetic division using the root -3 (x + 3) and equate the remainder to zero. This will help us find the value of b.

To determine the value of b such that the polynomial f(x) = x^4 - bx^2 + 2x - 4 is divisible by x + 3 using Horner's scheme, follow these step-by-step explanations:

Write down the coefficients of the polynomial in descending order of powers of x. The given polynomial is:

f(x) = x^4 - bx^2 + 2x - 4

Set up the Horner's scheme table by writing the coefficients of the polynomial in the first row, and place a placeholder (0) for the value of x.

       | 1 | 0 | -b | 2 | -4

Calculate the first value in the second row by copying the coefficient from the first row.

       | 1 | 0 | -b | 2 | -4

        ------------------

         1

Multiply the previous value in the second row by the value of x in the first row (which is -3), and write the result in the next column.

       | 1 | 0 | -b | 2 | -4

        ------------------

         1   -3

Add the next coefficient from the first row to the result in the second row and write the sum in the next column.

       | 1 | 0 | -b | 2 | -4

        ------------------

         1   -3   3b

Repeat steps 4 and 5 until all coefficients are used and you reach the final column.

       | 1 | 0 | -b | 2 | -4

        ------------------

         1   -3   3b   -7 - 12

Since we want to determine the value of b, set the final result in the last column equal to zero and solve for b.

         -7 - 12 = 0

         -19 = 0

Solve the equation -19 = 0, which has no solution. This means there is no value of b that makes the polynomial f(x) divisible by x + 3.

Therefore, there is no value of b that satisfies the condition of f(x) being divisible by x + 3.

Learn more about synthetic division here:

https://brainly.com/question/29809954

#SPJ11

A square rotated about its center by 360º maps onto itself at 4  different angles of rotation. You can reflect a square onto itself across 4  different lines of reflection.

It is important to note that a square has 4 angles of rotation and 4 lines of symmetry.

The 4 angles of rotation implies that you can tend to  rotate it  4 times so as to have it line up with its main  image before hitting 360°.

The 4 lines of symmetry which are:

Therefore the first and second blank is both 4.

Learn more about angle of rotation here:https://brainly.com/question/3260996

#SPJ1

Two steps that will complete the list correctly are:

4. The original measurement should be multiplied by the conversion factors.

5. Verify that it makes sense.

A conversion factor can be used to switch from one set of units to another by multiplying or dividing a number. When a conversion is necessary, the appropriate conversion factor to an equivalent value must be applied.

Let's use an example of converting from inches to centimeters to address this query.

10 inches should be converted to cm.

To know more about units, visit:

https://brainly.com/question/18522397

#SPJ4

In your test plan, include the number of repetitions you will perform and a method for analyzing the data to account for random errors.

A test plan should account for the presence of systematic and random errors through the following steps:

1. Calibration: Calibration ensures that the instruments used in the experiment are accurate and consistent. By calibrating the equipment, you can minimize the impact of systematic errors on your results. Start your test plan by ensuring all instruments are calibrated and their measurements are reliable.

2. Randomization: Randomization is the process of randomly assigning subjects or samples to different experimental conditions. This helps to eliminate any potential bias or systematic errors caused by the arrangement of the experiment. In your test plan, make sure to include a method for randomizing the experiment to minimize the effect of systematic errors.

3. Repetition: Repeating the experiment multiple times can help reduce the impact of random errors. By performing the experiment multiple times and averaging the results, you can minimize the influence of random errors on your findings.

for such more question on random errors

https://brainly.com/question/10218601

#SPJ11

Answer:

\(T(2,4) and U(11,13)\)

Step-by-step explanation:

According to the solving 32  tablespoons of sugar can the bowl hold.

A word problem is just a verbal depiction of a problem situation in which one or more questions are addressed and the answers can be reached by applying mathematical operations to information (typically numerical data) in the text.

To write a word problem, consider how you would solve it and choose the best strategy for your pupils to follow. Determine the arithmetic skills you want pupils to practice on.

The problem gives us the value W, which is 740 in this example.

We may solve for T, total tablespoons, by substituting 740 into the initial equation.

The equation is now 740 = 12.5(T) + 340.

By isolating the variable T on one side of the equation, we can solve for it. To accomplish this, we must remove the other values from the equation by applying their inverse to both sides of the equation. We begin with a value that is not associated with the variable.

In this situation, it is + 340.

To get rid of this value, remove 340 from both the sides of the equation.

740 - 340 = 12.5(T) + 340 - 340.

You can see how the + 340, cancel each other out now. The equation is now 400 = 12.5 (T).

To isolate T,

400 / 12.5 = 12.5(T) / 12.5.

The right portion of the equation will now only contain the variable T, which we can identify by finishing the operation on the left side.

400 / 12.5 = 32 = T.

W = 12.5(T) + 340

740 = 12.5(T) + 340

740 - 340 = 12.5(T) + 340 - 340

400 = 12.5(T)

400 / 12.5 = 12.5(T) / 12.5

32 = T

According to the solving 32  tablespoons of sugar can the bowl hold.

To know more about word problem visit:

https://brainly.com/question/2610134

#SPJ9

Finding the union of the sets A and C is the first step in solving P(A U C). Since set C only contains the number 6, the union of A and C has the elements 1, 2, 3, 4, and 6. A U C thus equals 1, 2, 3, 4, and 6.

The power set of A U C, which comprises all conceivable subsets of 1, 2, 3, 4, and 6, must then be located. If all conceivable subsets are listed, the power set of A U C, designated as P(A U C), will be discovered.

P(A U C) = { {}, {1}, {2}, {3}, {4}, {6}, {1,2}, {1,3}, {1,4}, {1,6}, {2,3}, {2,4}, {2,6}, {3,4}, {3,6}, {4,6}, {1,2,3}, {1,2,4}, {1,2,6}, {1,3,4}, {1,3,6}, {1,4,6}, {2,3,4}, {2,3,6}, {2,4,6}, {3,4,6}, {1,2,3,4}, {1,2,3,6}, {1,2,4,6}, {1,3,4,6}, {2,3,4,6}, {1,2,3,4,6}}.

There are 31 subsets in the power set P(A U C) that result from the union of sets A and C.

Learn more about  Subsets:

https://brainly.com/question/17514113

#SPJ4

This is an example of stratified random sampling.

The correct option is B.

A population that can be divided into subpopulations can be sampled using stratified sampling. It may be helpful to sample each subpopulation separately in statistical surveys when subpopulations within a larger population vary.

Currently, the math department has a 6-person capacity to send to a national convention, and they would like to send 4 students out of 30 and 2 faculty members out of 6.

The department takes into account both different student and teacher groups or strata.

Additionally, two faculty members were chosen at random from among the six faculty members, out of the 30 students, to make up the last 4 students.

This is an example of stratified random sampling.

To know more about  stratified random sampling visit:

https://brainly.com/question/20692763

#SPJ4

I understand that the question you are looking for is :

A small math department has 6 faculty members and 30 students. It can send 6 people to a national convention and they would like to send 4 students and 2 faculty members. Of the 30 students, 4 are selected randomly, and then 2 faculty members are randomly selected from the six. This is an example of

(A) simple random sampling.

(B) stratified random sampling.

(C) voluntary response sampling.

(D) a census.

Answer:

7 , 5 , 9

Step-by-step explanation:

The diameter of the given circle with a circumference of 28.6 centimeters is approximately 9.11 cm.

The circumference of a circle is given by the simple formula: C = πd, where C is the circumference, π is the constant pi and d is the diameter of the circle.

Given that the circumference of the circle is 28.6 cm, we can use the formula to find the diameter:

28.6 = πd

d = 28.6/π

Using 3.14 as an approximation for π, we get:

d ≈ 28.6/3.14 ≈ 9.11

Therefore, the diameter of the circle is approximately 9.11 cm.

Learn more about diameter

https://brainly.com/question/28162977

#SPJ4

Answer:

Set it up as a proportion miles over miles and hours over hours multiply 938*4 and divide that by 268 and you will get 14

Step-by-step explanation:

Answer:

Step-by-step explanation:Yes, the points B, C, M, and N are concyclic.

In a triangle ABC, if perpendiculars BM and CN are drawn from the vertices B and C to the sides AC and AB respectively, then the quadrilateral BCNM is a cyclic quadrilateral. This means that the points B, C, M, and N lie on a common circle.

To see why this is true, consider the angles formed by the sides of the quadrilateral BCNM. Since BM is perpendicular to AC, angle BMC is a right angle. Similarly, CN being perpendicular to AB makes angle CNC a right angle as well.

Now, angle BNC is the sum of angles BMC and CNC, which means it is also a right angle. Similarly, angle BMC is the sum of angles BNC and CNB, so it is a right angle too.

Since all angles of the quadrilateral BCNM are right angles, the quadrilateral can be inscribed in a circle where the diameter is the line segment BC. Therefore, the points B, C, M, and N are concyclic.

Learn more about cyclic quadrilaterals and properties of triangles here:

https://brainly.com/question/14323008

#SPJ11

Answer:

Part A: To find the expression for the length of the rectangular space, we can use the formula for the area of a rectangle, which is length multiplied by width. We have the expression for the area as 8x² - 12x, and the expression for the width as 4x. So, we can write:

Area = Length × Width

8x² - 12x = Length × 4x

Simplifying the right side by multiplying, we get:

8x² - 12x = 4x × Length

2x² - 3x = Length

Therefore, the expression for the length of the rectangular space is 2x² - 3x.

Part B: To prove that the expression for the length from Part A is correct, we can multiply it by the expression for the width and simplify:

Length × Width = (2x² - 3x) × (4x)

= 8x³ - 12x²

= 4x(2x² - 3x)

= 4x(2x(x - 3))

This is in fact the same as the expression for the area of the rectangular space, 8x² - 12x, in standard form.

Our guess was correct and any monic quartic polynomial can be the characteristic polynomial of some 4x4 matrix using this companion matrix.

To show that p(lambda) is the characteristic equation of the companion matrix, we need to construct the companion matrix and then calculate its characteristic polynomial. The companion matrix for p(lambda) is given by:

A =
[ 0   0  -a ]
[ 1   0  -b ]
[ 0   1  -c ]

The characteristic polynomial of A is the determinant of the matrix (lambdaI - A), where I is the identity matrix of size 3. This gives:

det(lambdaI - A) =
| lambda   0       a      |
| -1      lambda   b      |
| 0       -1      lambda+c|

Expanding the determinant along the first row, we get:

p(lambda) = lambda^3 + clambda^2 + blambda + a

Thus, p(lambda) is indeed the characteristic polynomial of the companion matrix A.

For a monic quartic polynomial, a guess for the companion matrix is:

A =
[ 0   0   0  -a ]
[ 1   0   0  -b ]
[ 0   1   0  -c ]
[ 0   0   1  -d ]

Calculating the determinant of (lambdaI - A), we get:

p(lambda) = lambda^4 + dlambda^3 + clambda^2 + blambda + a

In general, for an n-degree monic polynomial, the companion matrix will be an (n-1) x (n-1) matrix with the coefficients arranged in a particular way. The determinant of (lambdaI - A) will give the characteristic polynomial of the matrix, which will be the same as the given polynomial.

To learn more about : monic quartic

https://brainly.com/question/16601143

#SPJ11

These roots are also complex conjugates, so the step response will be oscillatory with a decay factor. The response will look like a damped sinusoid. the value of s1 and s2 is 25i and -25j.

Here are the solutions for the given transfer functions and the corresponding step response plots:

G(s) =\(400 / (s^2 + 12s + 400)\)

First, let's find the roots of the denominator:

\(s^2 + 12s + 400 = 0\)

Using the quadratic formula, we get:

s1 = -6 + 14.96j

s2 = -6 - 14.96j

These roots are complex conjugates, so the step response will be oscillatory with a decay factor. The response will look like a damped sinusoid.

G(s) =\(900 / (s^2 + 90s + 900)\)

The denominator can be factored as \((s + 45)^2\). Therefore, the roots are:

s1 = s2 = -45

Since both roots are negative and equal, the response will be critically damped.

G(s) = \(225 / (s^2 + 30s + 225)\)

The denominator can be factored as\((s + 15)^2\). Therefore, the roots are:

s1 = s2 = -15

Again, since both roots are negative and equal, the response will be critically damped.

G(s) = \(625 / (s^2 + 625)\)

The denominator can be factored as (s + 25j)(s - 25j). Therefore, the roots are:

s1 = 25j

s2 = -25j

Note: The step response plots can be sketched by considering the damping ratio and natural frequency of each transfer function. For critically damped systems, the response reaches steady-state the fastest, but it also overshoots the most.

To learn more about Complex conjugates :

https://brainly.com/question/17203594

#SPJ4

Answer:

The correct graph is D

Answer: D

Step-by-step explanation:

Answer:

C=6.4ft

Step-by-step explanation:

a^2 + b^2 = c^2

4^2 + 5^2 = c^2

4 + 4 = 16

5 + 5 = 25

16 + 25 = c^2

41 = c^2

Now you will need to find the square root of 41 which gives you 6.40 and you just round to nearest tenth..

HOPE THIS HELPS!!

Answer:

x= -0.1818

y= 10.6363

Step-by-step explanation:

Answer: The cost of each game increases the price by $4.

Step-by-step explanation: More

Answer:

2340

Step-by-step explanation:

Since, the formula for finding sum of interior angles of a polygon is :

(n-2) × 180° [Where 'n' denotes number of sides]

Hence,

Sum of interior angles of a pentadecagon is ,

(15 - 2) × 180°

= 13 × 180°

= 2340°(Ans)

Option: A, B, C are correct. Table A, Table B, Table C are represents the value of function.

A function is "an expression, or rule or law that defines relationship between  one variable(independent variable) and another variable(dependent variable)".

According to the question,

In a function, there is one value of 'y' for every value of 'x' . In table A  

Input (x)        1            2         3            4

Output(y)     12          15        18          21

In this table A for every value of 'x' we have value 'y' each. Therefore, Table A is function.        

In a function, there is one value of 'y' for every value of 'x' . In table B  

Input (x)        1            7         7            -8

Output(y)     22          -30        18           2

In this table B for every value of 'x' we have value 'y' each. Therefore, Table B is function.        

In a function, there is one value of 'y' for every value of 'x' . In table C

Input (x)        1             1            1             1

Output(y)     -2          -5        -12           1

In this table C for every value of 'x' we have value 'y' each. Therefore, Table C is function.        

In a function, there is one value of 'y' for every value of 'x' . In table D

Input (x)        1             3            5             7

Output(y)     12         12             12           12

In this table C, for every value of 'x' we have same value 'y' each. Therefore, Table D is not function.        

Hence, Option: A, B, C are correct. Table A, Table B, Table C are represents the value of function and Table D is not function.

Learn more about Function here

https://brainly.com/question/13986146

#SPJ2

Since the researcher is merely observing and comparing existing groups without any manipulation or intervention, this study is classified as an observational study.

In an observational study, the researcher observes and collects data on existing groups or individuals without intervening or manipulating any variables. In this case, the researcher selected two groups of grocery shoppers (one group shopping at a health food supermarket and the other at a neighborhood grocery store) and observed their food costs over a month. The researcher did not control or manipulate any factors or assign participants to specific groups.

To know more about observational study,

https://brainly.com/question/30692280

#SPJ11