Determine which of the following sets is a subspace of Pn for an appropriate value of n.A: All polynomials of the form p(t) = a + bt2, where a and b are inB: All polynomials of degree exactly 4, with real coefficientsC: All polynomials of degree at most 4, with positive coefficients

The correct transformation that describes why rectangles ABCD and A′B′C′D′ are similar is Rectangle ABCD was dilated by a scale factor of 5 to form rectangle A′B′C′D′.

Dilation is a transformation that changes the size of an object while maintaining its shape. In this case, the coordinates of rectangle ABCD were multiplied by a scale factor of 5 to obtain the coordinates of rectangle A′B′C′D′.

This means that each side length of rectangle ABCD was multiplied by 5 to get the corresponding side length of rectangle A′B′C′D′.

The reflection across the y-axis and the rotation of 90° counterclockwise would result in different shapes and orientations, not maintaining the similarity between the two rectangles.

The dilation by a scale factor of 15 or 1/5 would also change the proportions and not result in a similar rectangle.

For more such questions on dilated,click on

https://brainly.com/question/30240987

#SPJ8  

Answer:

15km east

Step-by-step explanation:

it just is i don't know how to explain

Answer: I think it’s 15km east  

Step-by-step explanation: Because the opposite of west is east

9514 1404 393

Answer:

  11. inconsistent information

  12. 26°

Step-by-step explanation:

11. The given numbers are inconsistent. (The first attachment shows one of the 4 possible solutions.)

__

12. In order to find angle C, we need to know side AC. We can find that using the Law of Cosines.

  b = √(a² +c² -2ac·cos(B)) = √(19² +15² -2(19)(15)cos(120°)) = √871

  b ≈ 29.513

Then angle C is found from the Law of Sines.

  C = arcsin(c/b·sin(B)) = arcsin(15/29.513·sin(120°)) ≈ 26.11°

Angle C is about 26°.

The second attachment shows the output of a triangle solver.

Answer:

A is the answer

Step-by-step explanation:

if its wrong than its C

Answer: C

Step-by-step explanation: You're Welcome

The values of functions are

(a) f(0) = -3.                           (b) f(4) = 77.

(c) f(-4) = 45.                         (d) -f(x) = -4x² - 4x + 3.

(e) f(x+1) =  4x² + 12x + 1.       (f) f(-x) =  4x² - 4x - 3.

(g) f(3x) =  36x² + 12x - 3.

(h) f(x+h) =  4x² + 8xh + 4h² + 4x + 4h - 3.

The concept used in this question is evaluating a polynomial function for different values of the input variable. To do this, we substitute the given value into the function in place of the input variable and simplify the resulting expression.

Here we have

The function f(x) = 4x² + 4x-3.

To find the values of functions can be done by replacing x

(a) f(0) = 4(0)² + 4(0) - 3 = 0 + 0 - 3 = -3

(b) f(4) = 4(4)² + 4(4) - 3 = 64 + 16 - 3 = 77

(c) f(-4) = 4(-4)² + 4(-4) - 3 = 64 - 16 - 3 = 45

(d) -f(x) = -[4x² + 4x - 3] = -4x² - 4x + 3.

(e) f(x+1) = 4(x+1)² + 4(x+1) - 3 = 4(x² + 2x + 1) + 4x + 4 - 3 = 4x² + 12x + 1.

(f) f(-x) = 4(-x)² + 4(-x) - 3 = 4x² - 4x - 3.

(g) f(3x) = 4(3x)² + 4(3x) - 3 = 36x² + 12x - 3.

(h) f(x+h) = 4(x+h)² + 4(x+h) - 3 = 4(x² + 2xh + h²) + 4x + 4h - 3

= 4x² + 8xh + 4h² + 4x + 4h - 3.

Hence,

The values of functions are

(a) f(0) = -3.                           (b) f(4) = 77.

(c) f(-4) = 45.                         (d) -f(x) = -4x² - 4x + 3.

(e) f(x+1) =  4x² + 12x + 1.       (f) f(-x) =  4x² - 4x - 3.

(g) f(3x) =  36x² + 12x - 3.

(h) f(x+h) =  4x² + 8xh + 4h² + 4x + 4h - 3.

Learn more about Functions at

https://brainly.com/question/16935080

#SPJ9

Answer:

\(x = 5\)

Step-by-step explanation:

Given

\(\triangle JDC\) similar to \(\triangle JKL\)

Required

Find x

To do this, we make use of the following equivalent ratios

\(JK:JL = JD:JC\)

This gives

\(98 : 63 = 7x + 7:27\)

Express as fraction

\(\frac{98 }{ 63} =\frac{ 7x + 7}{27}\)

Multiply both sides by 27

\(27 * \frac{98 }{ 63} =\frac{ 7x + 7}{27} * 27\)

\(27 * \frac{98 }{ 63} =7x + 7\)

\(3* \frac{98 }{ 7} =7x + 7\)

\(3* 14 =7x + 7\)

\(42 =7x + 7\)

Collect like terms

\(7x = 42 - 7\)

\(7x = 35\)

Divide both sides by 7

\(x = 5\)

Step-by-step explanation:

The hands of a clock point in opposite directions ( in the same straight line) 11 times in every 12 hours.

Answer:

y = 0.45 × x

y = 0.45 × 12

y = 5.4

Step-by-step explanation:

The chair costs $5 and 40 cents

Answer:

The range of values from one job is between $50 and $650.

Step-by-step explanation:

An electrician charges y amount to work x hours on a job. The electrician charges a $50 service fee and $30 per hour.

This means that his earnings in a job can be modeled by the following function:

\(y = 30x + 50\)

The electrician works maximum of 20 hours on any job. What is the range of values for one job?

Minimum, he works 0 hours, and earns:

\(y(0) = 30(0) + 50 = 50\)

Maximum, he works 20 hours, and earns:

\(y(20) = 30(20) + 50 = 650\)

The range of values from one job is between $50 and $650.

Answer:

10th term

Step-by-step explanation:

given \(T_{n}\) = 5n + 2 and \(T_{n}\) = 52 , then equate right sides and solve for n

5n + 2 = 52 ( subtract 2 from both sides )

5n = 50 ( divide both sides by 5 )

n = 10

that is the 10th term has a value of 52

Hello!

3x + 4 = 1

3x + 4 - 4 = 1 - 4

3x = -3

3x/3 = -3/3

x = -1

The solution of the equation 3x + 4 = 1 is -1.

The answer is:

C) x = -1

Work/explanation:

To solve this equation, I subtract 4 from each side:

\(\sf{3x+4=1}\)

Subtract :

\(\sf{3x=-3}\)

Divide each side by 3:

\(\sf{x=-1}\)

Hence, C is correct.

Answer:

Converting m to mm

=> 1 m = 1000 mm

=> 8 m = 8000 mm

Therefore,

The wire will be 8000 mm long.

Hope it helps you...

Please mark as brainlliest!!!

Answer:

16 cups of flour.

Step-by-step explanation:

Twelve is six twice, so if we need half the amount of flour we use for sugar, we just do 32 / 2 and you get sixteen!

Answer:

chicken nuggest

Step-by-step explanation:

Answer:

1.9375

Step-by-step explanation:

The required half is 1.9375

The ratio can be describe as the relation of the fraction of one quantity towards others. e.g.- water in milk.

Actual value = 3 + 7/8
                   = 3.875
now the half divide 3.875 by 2  
=3.875/2
= 1.937
when ,multiply above to by 2 it gives the actual value back

Thus, The required half is 1.9375

Learn more about Ratio here:

brainly.com/question/13419413

#SPJ2

The applied overhead cost for job 201 is $36,000 and total cost for job 201 under direct materials cost as allocation base is $86,000.

Allocation base is a technique utilized in accounting to designate the cost of something to its use or product to recognize the price of the finished product.

Example provides the total overhead cost at $120,000 for the period, the base data of $100,000 direct material cost and 500 direct labor hours. The base data are used to calculate the predetermined factory overhead rate, which is used to apply overhead costs to work in progress.

The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the base data. The predetermined factory overhead rate is multiplied by the actual activity in the allocation base to obtain the applied overhead cost.

Direct materials cost as allocation base $30,000 is the actual direct material cost used in job 201. The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct material cost, which is $120,000/$100,000=120%.

The applied overhead cost for job 201 is $30,000*120% = $36,000.

Total cost for job 201 under direct materials cost as allocation base is $30,000+$20,000+$36,000 = $86,000.

-Direct labor cost as allocation base:

The actual direct labor cost used in job 201 is $20,000. The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct labor cost, which is $120,000/$100,000=120%.

The applied overhead cost for job 201 is $20,000*120% = $24,000.

Total cost for job 201 under direct labor cost as allocation base is $30,000+$20,000+$24,000 = $74,000.

-Direct labor hours as allocation base:

The actual direct labor hours used in job 201 is 400 hours.

The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct labor hours, which is $120,000/500 hours = $240 per hour.The applied overhead cost for job 201 is $240*400 hours = $96,000.

Total cost for job 201 under direct labor hours as allocation base is $30,000+$20,000+$96,000 = $146,000.

-Physical output as allocation base: The actual output in units completed for job 201 is 2,000 shirts.

The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the output in units, which is $120,000/10,000 units = $12 per unit.

The applied overhead cost for job 201 is $12*2,000 units = $24,000.Total cost for job 201 under physical output as allocation base is $30,000+$20,000+$24,000 = $74,000.

-Machine hours as allocation base: The actual machine hours used in job 201 is 240 hours.

The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the machine hours, which is $120,000/5,000 hours = $24 per hour.

The applied overhead cost for job 201 is $24*240 hours = $5,760.

Total cost for job 201 under machine hours as allocation base is $30,000+$20,000+$5,760 = $55,760.

For more such questions on cost visit:

https://brainly.com/question/31479672

#SPJ8

If the train travels at an average speed of 50 Km/h, it would be late by 10 minutes.

Speed is simply referred to as distance traveled per unit time.

It is expressed as:

Speed = distance / time

Given that the train running between two stations 50 Km apart arrives on time if it travels at an average speed of 60 km/h.

The time taken by the train to travel 50 km at an average speed of 60 km/h can be calculated using the formula:

Speed = distance / time

time = distance / speed

time = 50 km / 60 km/h

time = 5/6 hour

Next, if the train travels at an average speed of 50 km/h, the time taken to cover the same distance of 50 km would be:

Speed = distance / time

time = distance / speed

time = 50 km / 50 km/h

time = 1 hour

Now, the difference in time between the two scenarios would be:

time difference = 1 hour - 5/6 hour

time = 1/6 hour

Convert to minutes

time = 1/6 × 60

time = 10 minutes

Therefore, the train would be late by 10 minutes.

Learn more about speed here: https://brainly.com/question/27571996

#SPJ1

Answer :

\(\boxed{\textsf {The red area is the required answer . }}\)

Step-by-step explanation:

A linear inequality in two variables is given to us and we need to plot it's graph .So the the given inequality is ,

\(\sf\implies y \geq- \dfrac{1}{5}x +5 \)

So firstly let's simplify out the inequality for easy plotting of the graph .

\(\sf\implies y \geq- \dfrac{1}{5}x +5 \\\\\sf\implies y \geq \dfrac{-x+5(-5)}{5}\\\\\sf\implies y \geq \dfrac{-x-25}{5}\\\\\sf\implies y \geq -(1)\dfrac{x+25}{5}\)

Now let's put some values of x to get values of y .

• Firstly put x = 0 then we get , y is greater than or equal to 0+5/5 (-1) = 5/5(-1) = -1 . Hence we get y ≥ (-1) .

• Secondly put x = 1 , then we get , y is greater than or equal to 1+5/5(-1)=6/5(-1) = -6/5 . Hence we get y ≥ -6/5 .

• Thirdly put x = -1 , then we get y is greater than or equal to -1+5/5(-1) = -4/5 . Hence we get y ≥ -4/5

• Fourthly put x = (-5) , then we get y is greater than or equal to -5+5/5(-1) = 0 .Hence we get y ≥ 0 .

With reference to these let's plot a graph . For the graph kindly refer to the attachment :) .

Here in the graph the red area shows the possible values of x and y .

Based on the information provided, the inference that a significant number of students in the homeroom class plan to become soldiers is valid.

The teacher surveyed his homeroom class about their post-graduation plans. He found out that most of his students plan to become soldiers.

An inference is a conclusion that can be drawn from a given set of data. In this case, the inference that can be made is that a significant number of students in the homeroom class plan to become soldiers.Therefore, the inference is valid based on the data provided.

However, it is essential to keep in mind that the sample size in the homeroom class is relatively small and may not be representative of the entire population. If the teacher had surveyed a more extensive and diverse population, the results might have been different.

In conclusion, based on the information provided, the inference that a significant number of students in the homeroom class plan to become soldiers is valid. However, this may not apply to the entire population, and it is crucial to consider the sample size when drawing inferences.

For more such questions on inference, click on:

https://brainly.com/question/25913650

#SPJ8

Answer:

A

Step-by-step explanation:

The number of square feet that are there for storing paint is 1/2

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

Area of the table = 3-square-foot

Number of sections = 6 sections

The number of square feet is there for storing paint is calculated as

The number of square feet = Area of the table/Number of sections

Substitute the known values in the above equation, so, we have the following representation

The number of square feet = 3-square-foot/6

Evaluate the quotient

The number of square feet = 1-square-foot/2

This gives

The number of square feet = 1/2 -square-foot

Hence, the square feet is 1/2

Read more about areas at

https://brainly.com/question/25292087

#SPJ1

Complete question

The table shows how a 3-square-foot shelf is split into 6 sections for storing art materials. How many square feet are there for storing paint?

Area (square feet)       Sections

             3                            6

             6                            12

             9                            18

Answer:

\(x > 1\)

if you graph

\(f(x) = x + 1\)

you'll see that it's that part of graph from x=1 to right and x=1 on this graph is not ncluded so it's x>1

x + 5 = (x + 5) − 5, which has no solution

Answer:

7/20

Step-by-step explanation:

add the number up which is 20 and the purpose of bill is the middle of 7 is middle in the ratio

Answer:

2 61/162

Step-by-step explanation:

The entrepreneur's revenue is  $2325x, entrepreneur's cost is $33,750 + $1700x and entrepreneur's profit from x sold-out performances is  $625x - $33,750

The entrepreneur's revenue from x sold-out performances is given by the formula:

Revenue = (Price per Performance) x (Number of Performances)

Revenue = $2325 x x

Revenue = $2325x

The entrepreneur's cost from x sold-out performances is given by the formula:

Cost = Overhead + (Production Cost per Performance) x (Number of Performances)

Cost = $33,750 + $1700x

The entrepreneur's profit from x sold-out performances is the revenue minus the cost:

Profit = Revenue - Cost

Profit = $2325x - ($33,750 + $1700x)

Profit = $625x - $33,750

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1

Using the information in the given diagram, the value of the missing angle is: m∠1 = 75°

The transverse line theorem states that If two parallel lines are cut by a transversal, then corresponding angles are congruent. Two lines cut by a transversal are parallel IF AND ONLY IF corresponding angles are congruent.

Now, when we draw a horizontal line parallel to lines a and b and directly cutting across the vertex of angle 1, we can see that angle 1 will be composed of two angles.

Now, for the transverse line theorem we can say that:

Angle 1 will be composed of two angles namely:

48 degrees and (180 - 153) degrees.

Thus:

m∠1 = 48° + 27°

m∠1 = 75°

Read more about Missing Angle at: https://brainly.com/question/28293784

#SPJ1

Answer:

slope = 16/13, increasing

Step-by-step explanation:

solve for the slope

-1.2-(-2.8)/(6.4-5.1)

= 16/13

it's positive meaning it's increasing