Help please!!! I don’t understand

Perimete23.33 feet

Explanation:

A room is like a rectngle. SO we would apply the perimeter of a rectangle

perimeter of a rectangle = 2(length + width)

length = 10'6" = 10 feet 6 inches

Width = 14' = 14 inches

Let's make the unit oof length and width to be in feet (that is the unit in the question option)

12 inches = 1 foot

6 inches = 6/12 = 1/2 feet

14 inches = 14/12 = 7/6 feet

length = 10 feet + 1/2 feet = 10 1/2 feet = 21/2 feet

width = 7/6 feet

perimeter of a rectangle = 2(21/2 + 7/6)

The expression where the greatest common factor (GCF) is factored completely is \(2x^3y + 18xy - 10x^2y - 90y = 2y(x^3 + 9x - 5x^2 - 45)\)

The expression completely factored in is

\(2y(x^3 + 9x - 5x^2 - 45) = 2y[x(x^2 - 5) + 9(x^2 - 5)]\\= 2y(x - 5)(x^2 + 9)\)

Please refer below for the remaining answers.

We have,

Part A:

To rewrite the expression 2x³y + 18xy - 10x²y - 90y so that the greatest common factor (GCF) is factored completely, we can factor out the common terms.

GCF: 2y

\(2x^3y + 18xy - 10x^2y - 90y = 2y(x^3 + 9x - 5x^2 - 45)\)

Part B:

To completely factor the expression, we can further factor the quadratic term.

\(2y(x^3 + 9x - 5x^2 - 45) = 2y[x(x^2 - 5) + 9(x^2 - 5)]\\= 2y(x - 5)(x^2 + 9)\)

Now,

Part A:

To determine the length of each side of the square given the area expression (9x² + 24x + 16), we need to factor it completely.

The area expression (9x² + 24x + 16) can be factored as (3x + 4)(3x + 4) or (3x + 4)².

Therefore, the length of each side of the square is 3x + 4.

Part B:

To determine the dimensions of the rectangle given the area expression (16x² - 25y²), we need to factor it completely.

The area expression (16x² - 25y²) is a difference of squares and can be factored as (4x - 5y)(4x + 5y).

Therefore, the dimensions of the rectangle are (4x - 5y) and (4x + 5y).

Now,

f(x) = 2x² - 5x + 3

Part A:

To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x.

2x² - 5x + 3 = 0

The quadratic equation can be factored as (2x - 1)(x - 3) = 0.

Setting each factor equal to zero:

2x - 1 = 0 --> x = 1/2

x - 3 = 0 --> x = 3

Therefore, the x-intercepts of the graph of f(x) are x = 1/2 and x = 3.

Part B:

To determine if the vertex of the graph of f(x) is maximum or minimum, we can examine the coefficient of the x^2 term.

The coefficient of the x² term in f(x) is positive (2x²), indicating that the parabola opens upward and the vertex is a minimum.

To find the coordinates of the vertex, we can use the formula x = -b / (2a), where a and b are the coefficients of the quadratic equation.

For f(x),

a = 2 and b = -5.

x = -(-5) / (2 x 2) = 5/4

To find the corresponding y-coordinate, we substitute this x-value back into the equation f(x):

f(5/4) = 25/8 - 25/4 + 3 = 25/8 - 50/8 + 24/8 = -1/8

Therefore, the vertex of the graph of f(x) is at the coordinates (5/4, -1/8), and it is a minimum point.

Part C:

To graph f(x), we can start by plotting the x-intercepts, which we found to be x = 1/2 and x = 3.

These points represent where the graph intersects the x-axis.

Next,

We can plot the vertex at (5/4, -1/8), which represents the minimum point of the graph.

Since the coefficient of the x² term is positive, the parabola opens upward.

We can use the vertex and the symmetry of the parabola to draw the rest of the graph.

The parabola will be symmetric with respect to the line x = 5/4.

We can also plot additional points by substituting other x-values into the equation f(x) = 2x² - 5x + 3.

By connecting the plotted points, we can draw the graph of f(x).

The steps to graph f(x) involve plotting the x-intercepts, the vertex, and additional points, and then connecting them to form the parabolic curve.

The answer in part A (x-intercepts) and part B (vertex) are crucial in determining these key points on the graph.

Thus,

The expression where the greatest common factor (GCF) is factored completely is \(2x^3y + 18xy - 10x^2y - 90y = 2y(x^3 + 9x - 5x^2 - 45)\)

The expression completely factored in is

\(2y(x^3 + 9x - 5x^2 - 45) = 2y[x(x^2 - 5) + 9(x^2 - 5)]\\= 2y(x - 5)(x^2 + 9)\)

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

Number of ways 5 gymnasts participate including exactly two from Lia , Bella , Priscilla is equal to 252.

As given in the question,

Total number of gymnasts = 12

Number of gymnasts to be participates = 5

Condition:

Exactly two gymnasts from Lia , Bella , Priscilla

Number of ways 5 gymnasts participates

= ⁹C₃ × ³C₂

= ( 9!)/ ( 9 - 3)! 3! × 3!/ ( 3-2)! 2!

= [( 9× 8 ×7 × 6!)/ 6! ( 3× 2× 1)] × ( 3 × 2!)/ 2!

= [( 9× 8 ×7)/ ( 3× 2× 1)] × 3

= 252

Therefore, the number of ways 5 gymnast can participate out of 12 with the given condition is 252.

Learn more about number of ways here

brainly.com/question/29110744

#SPJ4

Answer:

7.18

Step-by-step explanation:

The entire answer is 7.17808219, but I rounded it to the nearest hundreth.

The rationale that supports this statement is:

​Situational experiences are interpreted differently.

Now, According to the question:

Let's Know:

What is the Rationale of the Study?

The rationale of the study explains the reason why the study was conducted (in an article or thesis) or why the study should be conducted (in a proposal). This means the study rationale should explain to the reader or examiner why the study is/was necessary.

We know that :

There are different levels and combinations of concerns among individual students.

Hence, The rationale that supports this statement is:

​Situational experiences are interpreted differently.

In the question;

There are different levels and combinations of concerns among individual students.

what is the rationale that supports this statement?

Learn  more about Rationale at:

https://brainly.com/question/28788724

#SPJ4

Answer:

8

Step-by-step explanation:

the denominator of 5/8 is 8

the denominator of 3/4 is 4

4 can be multiplied by 2 to get 8. If we multiply the entire fraction by 2/2, the fraction changes into 6/8

Now 5/8 and 6/8 share the same denominator and it's the smallest denominator shared between the two.

The vector orthogonal to the plane through the points P, Q, and R is (8, -8, 12), and the area of triangle PQR is \($\sqrt{301}$\).

For part (a), we can find a nonzero vector orthogonal to the plane through the points P, Q, and R by constructing a normal vector to the plane using the cross product of two vectors in the plane. The two vectors in the plane are \($\vec{PQ} = (1- (-2), 0-1, 1-3) = (3, -1, -2)$\) and \($\vec{PR} = (1-4, 0-2, 1-5) = (-3, -2, -4)$\). Taking the cross product of the two vectors gives us the normal vector to the plane, \($\vec{n} = \vec{PQ} \times \vec{PR} = (8, -8, 12)$\). Therefore, the vector orthogonal to the plane is \($\vec{n} = (8, -8, 12)$.\)

For part (b), the area of triangle PQR can be found using the formula for Heron's Formula, which states that the area of a triangle with sides a, b,and c is given by

\($A = \sqrt{s(s-a)(s-b)(s-c)}$\)

where \($s = \frac{a+b+c}{2}$\) . In this case, the sides are \($a = \|\vec{PQ}\| = \sqrt{3^2 + (-1)^2 + (-2)^2} = \sqrt{14}$, $b = \|\vec{QR}\| = \sqrt{(-2-4)^2 + (1-2)^2 + (3-5)^2} = \sqrt{14}$\), and\($c = \|\vec{PR}\| = \sqrt{(-3)^2 + (-2)^2 + (-4)^2} = \sqrt{29}$\). Plugging these values into the formula, we get

\(= \sqrt{s(s-a)(s-b)(s-c)} = \sqrt{\frac{7(7-\sqrt{14})(7-\sqrt{14})(7-\sqrt{29})}{4}} = \sqrt{7(7-\sqrt{14})^2(7-\sqrt{29})} = \sqrt{7(7-\sqrt{14})^2(\sqrt{14}+\sqrt{29})} = \sqrt{7(7-\sqrt{14})^2\sqrt{43}} = \sqrt{301}$\)Therefore, the area of triangle PQR is \($\sqrt{301}$\)

The vector orthogonal to the plane through the points P, Q, and R is (8, -8, 12), and the area of triangle PQR is \($\sqrt{301}$\).

Learn more about area of triangle here:

https://brainly.com/question/19305981

#SPJ4

Answer:

2(x-5)

Step-by-step explanation:

the number will be ''x''

difference between the number (x) and 5 =

                 x-5

twice the difference is =

            2(x-5)

Answer:

55/36

Step-by-step explanation:

Step 1 mix value

3 x 3 = 9

9 + 2 = 11

2 x 5 = 10

10 + 2 = 12

Step 2 finding an equal denominator

36

Step 3 dividing

11/3 / 12/5

answer

55/36

For the linear equations provided by the coordinates in the table;

The first equation of this system is y = -2x.

The second equation of this system is y = x - 3.

The solution to the system is (1, -2).

We have four points (-5,10), (-1,2), (0,0), and (11,-22) for first equation, and four points (-8,-11), (-2,-5), (1,-2), and (7,4) the second equation.

The slope (m) is given by the formula (y2 - y1) / (x2 - x1).

For the first line, we can use the points (-5,10) and (-1,2)

m1 = (2 - 10) / (-1 - (-5)) = -8/4 = -2.

the first equation is y = -2x

the second line, we can use the points (-8,-11) and (-2,-5)

m2 = (-5 - -11) / (-2 - -8) = 6/6 = 1.

the second line has a slope of 1,

the equation should have the form y = x + c.

To find c, we can use one of the points, for instance (-2,-5):

-5 = -2 + c => c = -5 + 2 = -3.

So, the second equation is y = x - 3.

the solution to the system, we need to find where the two lines intersect.

y = -2x

y = x - 3

Setting both equation equally

-2x = x - 3

=> 3x = 3

=> x = 1.

Substituting x = 1 into the first equation

y = -2(1) = -2.

the solution to the system of linear equation would be (1, -2).

Find more exercises on linear equation;

https://brainly.com/question/29739212

#SPJ1

Answer:

Step-by-step explanation:

the circumference is

C=2*r*3.14=3.14*d

the below choices are the only ones that are valid

c/3.14=d

C/d=3.14

the answer B

The decimal number 0.142857 is a rational .

A rational number is defined as a number which can be written in the form p/q such that p and q are co-prime.

The decimal number given is 0.142857 . This number can be written in the form of a fraction of 142857/1000000 .

Now the prime factorization of 142857 gives 3³ x 11 x 13 x 37 and the Prime factorization of 1000000 is given by 2⁶ × 5⁶

So we can see that there are no common factors between the two numbers. Hence they are co-prime.

∴ 0.142857 is a rational number as it can be written in the form p/q.

To learn more about rational numbers visit:

https://brainly.com/question/24398433

#SPJ9

The sequence is not arithmetic.

To determine if the sequence is arithmetic, we need to check if the difference between consecutive terms is constant. Let's find the difference between consecutive terms:

- 102 - 0 = 102

- 201 - 102 = 99

- 304 - 201 = 103

- 403 - 304 = 99

We can see that the differences between consecutive terms are not constant. The difference between the first two terms is 102, and the difference between the next two terms is 99. Then, the difference increases to 103 before going back to 99. Therefore, the sequence is not arithmetic.

Learn more about :  

Sequence : brainly.com/question/30262438

#SPJ11

9514 1404 393

Answer:

Step-by-step explanation:

As with the angle pairs, use the corresponding vertices to name corresponding segments.

As is done here, I find it convenient to list the vertices vertically in the order shown in the similarity statement.

This can make it easier to identify the corresponding vertices used for naming segments.

__

Moving on the the extended proportion, ...

The denominator HI uses the first two vertices, with E corresponding to H and F corresponding to I. The appropriate ratio is ...

  EF/HI

The denominator HJ uses the 1st and 3rd vertices, with E (still) corresponding to H and J corresponding to G. The appropriate ratio is ...

  EG/HJ

Similar thinking is used to identify the last ratio:

  FG/IJ

Then the extended proportion is ...

  EF/HI = EG/HJ = FG/IJ

The statement a base class cannot contain a pointer to one of its derived classes is false because a base class can indeed contain a pointer to one of its derived classes.

In object-oriented programming, a base class can have a pointer to one of its derived classes. This is known as upcasting or polymorphism. Upcasting allows for the flexibility of treating derived class objects as instances of the base class.

By using pointers, a base class can refer to derived class objects and access their member functions and variables. This enables the base class to work with different derived classes without needing to know their specific types.

Pointers to derived classes can be stored in base class member variables or passed as function parameters. This allows for dynamic binding and the ability to invoke overridden functions based on the actual derived class type at runtime.

This concept is fundamental to achieving polymorphism and code reusability in object-oriented programming languages like C++ and Java. It facilitates the implementation of inheritance hierarchies and the ability to work with objects of different derived classes through a common base class interface.

To know more about base class, refer here:
https://brainly.com/question/31667002
#SPJ11

Answer:

17 weeks

Step-by-step explanation:

(12×17)+21= 225

(10×17)+55=225

a. The mean as 11 grams and the standard deviation as 2 grams.

b. The percent of spiders that weigh between 7 grams and 13 grams is approximately 81%.

c. The percent of spiders that weigh less than 9 grams is approximately 16%.

d. The weight values between 9 and 13 grams include approximately 68% of all the spider weights.

e. The z-score of a spider that weighs 15 grams is 2.

f. The percent of spiders that weigh more than 15 grams is approximately 2.28%.

a. To sketch a normal curve, we start with a horizontal axis representing the weight of the spiders. The vertical axis represents the frequency or probability density of the weights. We label the mean as 11 grams and the standard deviation as 2 grams. Then we mark one, two, and three standard deviations on either side of the mean, which are 9, 13, 15, 7, and 5 grams, respectively.

b. To find the percent of spiders that weigh between 7 grams and 13 grams, we need to calculate the z-scores for these weights. The z-score formula is z = (x - μ) / σ, where x is the weight, μ is the mean, and σ is the standard deviation.

For x = 7, z = (7 - 11) / 2 = -2.

For x = 13, z = (13 - 11) / 2 = 1.

The area under the curve between z = -2 and z = 1 represents the percentage of spiders in this range. Using a standard normal distribution table or a calculator, we find this area to be approximately 81%.

c. To find the percent of spiders that weigh less than 9 grams, we need to calculate the z-score for this weight. For x = 9, z = (9 - 11) / 2 = -1. The area under the curve to the left of z = -1 represents the percentage of spiders that weigh less than 9 grams. Using a standard normal distribution table or a calculator, we find this area to be approximately 16%.

d. We know that approximately 68% of all the spider weights fall within one standard deviation of the mean. Therefore, the weight values between 9 and 13 grams include approximately 68% of all the spider weights.

e. To find the z-score of a spider that weighs 15 grams, we use the z-score formula as z = (x - μ) / σ. For x = 15, μ = 11, and σ = 2, we get z = (15 - 11) / 2 = 2. The z-score of a spider that weighs 15 grams is 2.

f. To find the percent of spiders that weigh more than 15 grams, we need to calculate the area under the curve to the right of z = 2. Using a standard normal distribution table or a calculator, we find this area to be approximately 2.28%. Therefore, approximately 2.28% of all the spiders in the colony weigh more than 15 grams.

To know more about percentage here

https://brainly.com/question/13729841

#SPJ4

Answer:

Step-by-step explanation:

1-1=0

Answer:You will have 0 moms.

Step-by-step explanation:

First you take 1 away from 1.

After that you get your answer of 0.

Answer:

Mean: 9

Median: 9

Mode: 9

Variance: 9

Standard deviation: 9

Step-by-step explanation:

Answer:

4,560 pounds of soil

Step-by-step explanation:

Ok, based on the information given we are assuming that Persephone's garden is in the shape of a square or rectangle and the measurements 8 by 19 are in feet. That being the case we first need to calculate the square footage of the garden and we do this by multiplying the length by the width like so...

8 ft * 19 ft = 152 sq. ft.

Now that we know the square footage, we calculate how much soil is needed. Since the question states that she needs 30 pounds of soil per square foot then we multiply the square footage of the garden by 30.

152 sq. ft. * 30lb =  4,560lb

Finally, we can see that Persephone will need 4,560 pounds of soil for her garden.

Answer:

c

Step-by-step explanation:

The length of the arc AB is approximately 66.5 cm. We can use the formula given below to find the length of the arc:arc length = (central angle / 360°) x (2πr), where r is the radius of the circle. Here, we are given the radius of the circle as 5 7.9 cm and the central angle as 360°.

Thus, the formula becomes: arc length = (360° / 360°) x (2 x 3.14 x 5 7.9) arc length = 2 x 3.14 x 57.9 arc length = 364.452 cm ≈ 364.5 cm However, the answer needs to be rounded to the nearest tenth. Since the tenths place is occupied by 4, we need to round up the hundredths place, which is 5. Thus, the final answer is: arc length AB = 66.5 cm (rounded to the nearest tenth).Therefore, the length of arc AB is approximately 66.5 cm.

To know more about length of the arc,visit:

https://brainly.com/question/32035879

#SPJ11

The length of arc AB is 5.5 cm when rounded to the nearest tenth.

To find the length of arc AB, the radius and the angle at the center are required since they are the main parameters for calculating the length of arc AB.

Since the radius has not been given, it can be computed as shown below.

r = 2πr / 360°

= 7 x 3.14 / 360°

= 0.061 cm/degree

The angle at the center of AB is 180°/2 = 90°.

Therefore, the length of arc AB is given by

L = rθ

= 0.061 cm/degree x 90°

= 5.49 cm

Hence, the length of arc AB is 5.5 cm when rounded to the nearest tenth.

To know more about length, visit:

https://brainly.com/question/32060888

#SPJ11

Answer:

34.3948

Step-by-step explanation:

\(5\sqrt{28} +\sqrt{63} = 13\sqrt{7} = 34.3948\)

Answer: 34.394767

Step-by-step explanation: 5 Times Square root of 28 is 26.4575131106

26.4575131106 plus 7.93725393319 is 34.394767

Answer:

1 in 1191

Step-by-step explanation:

because if 9 tickets have been given away you would have to subtract that from the 1200 which is 1191

Answer: We have to write two fractions that are equivalent to 1(a) and 1(b):

1(a) Equivalent fraction to 1(b):

Conclusion: The two fractions are Indeed the Equivalent!

Answer:

(2) The statement is true.

-1 < r < 1

The system has exactly one solution, which is (p, q) = (-0.2118, -8.0).

We are given the system of equations:

1.7p - 0.34q = 0

0.17(q+1) - 0.85(p-1) = 0

We can simplify the second equation by distributing the 0.17 and 0.85 terms:

0.17q + 0.17 - 0.85p + 0.85 = 0

0.17q - 0.85p = -0.72

Now we have two equations in two variables, which we can solve using substitution or elimination. We will use elimination here.

Multiplying the first equation by 5, we get:

8.5p - 1.7q = 0

Multiplying the second equation by 2, we get:

0.34q - 1.7p = -1.44

Adding these two equations, we get:

6.8p = -1.44

p = -0.2118

Substituting this value of p into either of the original equations, we get:

1.7(-0.2118) - 0.34q = 0

q = -8.0

So the system has exactly one solution, which is (p, q) = (-0.2118, -8.0).

Learn more about solution here

https://brainly.com/question/24644930

#SPJ11