1. How many tiles whose length and breadth are 13 cm and 7 cm respectively are needed to cover a rectangular region whose length and breadth are 520 cm and 140 cm? 2. The length of a rectangular wooden board is thrice its width. If the width of the board is 120 cm, find the cost of framing it at the rate of $5 for 20 cm. 3. From a circular sheet of a radius 5 cm, a circle of radius 3 cm is removed. Find the area of the remaining sheet is given that π = 22 /7.

Answers

Answer 1

Answer:

1. 600 tiles

2. $120

3. 50.3cm2

Step-by-step explanation:

1. 520 x 140/ 13 x 7

600 tiles

2. Since length is 3 x width, length is 360.

20=5

360= 360/20= 18= 18 x 5= 90

20=5

120= 120/20= 6= 6 x 5= 30

90 + 30= 120= $120

3. 22/7 x 5 x 5= 78.5

   22/7 x 3 x 3= 28.2

   78.5-28.2= 50.3= 50.3cm2


Related Questions

To most closely estimate the difference below, would you round the numbers to the nearest ten thousand, the nearest thousand, or the nearest hundred? Explain. 62,980 - 49,625 =?

Answers

Answer:

To most closely estimate the difference, I would round 62,980 to the nearest thousand, so it will be 63,000. That is because when rounding, 63,000 is large enough so that adding will be easy, and 62,980 is relatively close to 63,000.

I would round 49,625 to the nearest thousand, since it would make the subtraction easier and 49,625 is only 375 units away from 50,000.

63,000 - 50,000 = about 13,000.

Hope this helps!

63,000-50,0000=13,0000 you need to round i hope it helps

The height of the trunk is 26 inches the length of the trunk is 50 inches. The tv is 54 inches wide. And 96 inches in height Use the Pythagorean theorem to calculate the length of the diagonal of the trunk.

Answers

Answer:

The length of the diagonal of the trunk is 56.356011 inches

Step-by-step explanation:

According to the given data we have the following:

height of the trunk= 26 inches

length of the trunk= 50 inches

According to the Pythagorean theorem, to calculate the length of the diagonal of the trunk we would have to calculate the following formula:

length of the diagonal of the trunk=√(height of the trunk∧2+length of the trunk∧2)

Therefore, length of the diagonal of the trunk=√(26∧2+50∧2)

length of the diagonal of the trunk=√3176

length of the diagonal of the trunk=56.356011

The length of the diagonal of the trunk is 56.356011 inches

Does anyone know this need help!

Answers

Answer:

Lead

Step-by-step explanation:

According to the chart, we can see that lead has the highest number here, so lead has the highest freezing / melting point in this chart.

If we were looking for the element with the lowest freezing / melting point, then we would look for the lowest number, which would belong to Helium, at -272.

*provide details with your answer if its NECESSARY. * What is the perimeter of this triangle?

Answers

Answer:

27.9 units

Option B is the correct answer.

Step-by-step explanation:

Finding the distance between the points A and B

A ( 3 , - 1 ) → ( x1 , y1 )

B ( 9 , - 5 )→ ( x2 , y2 )

Distance = [tex] \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]

[tex] = \sqrt{ {(9 - 3)}^{2} + {( - 5 - ( - 1)}^{2} } [/tex]

[tex] = \sqrt{ {(9 - 3)}^{2} + {( - 5 + 1))}^{2} } [/tex]

[tex] = \sqrt{ {6}^{2} +( - 4) ^{2} } [/tex]

[tex] = \sqrt{36 + 16} [/tex]

[tex] = \sqrt{52} [/tex]

[tex] = 2 \sqrt{13} [/tex]

Finding the distance between the points B and C

B ( 9 , - 5 ) → ( x1 , y1 )

C ( 16 , - 2 )→ ( x2 , y2 )

Distance = [tex] \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]

[tex] = \sqrt{ {(16 - 9)}^{2} + { (- 2 - ( - 5))}^{2} } [/tex]

[tex] = \sqrt{ {(16 - 9)}^{2} + { ( - 2 + 5)}^{2} } [/tex]

[tex] = \sqrt{ {7}^{2} + {(3)}^{2} } [/tex]

[tex] = \sqrt{49 + 9} [/tex]

[tex] = \sqrt{58} [/tex] units

Finding the distance between the points A and C

A ( 3 , - 1 )→ ( x1 , y1 )

C ( 16 , - 2 )→ ( x2 , y2 )

Distance = [tex] \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]

[tex] = \sqrt{ {(16 - 3)}^{2} + {( - 2 - ( - 1))}^{2} } [/tex]

[tex] = \sqrt{ {(16 - 3)}^{2} + ( - 2 + 1) ^{2} } [/tex]

[tex] = \sqrt{ {13}^{2} + ( { - 1)}^{2} } [/tex]

[tex] = \sqrt{169 + 1} [/tex]

[tex] = \sqrt{170} [/tex] units

Now, let's find the perimeter:

Perimeter = AB + BC + AC

plug the values

[tex] = 2 \sqrt{13} + \sqrt{58} + \sqrt{170} [/tex]

Calculate

[tex] = 27.9[/tex] units

Hope this helps..

Best regards!!

27 units that’s the answer

Find the value of x in each case. Give reasons to justify your solutions! please help will award brainliest

Answers

By some theorem, the third angle in the triangle is 2x.
2x + 3x-5 + 90= 180. 5x=95, x=19.

Answer: x=19

Step-by-step explanation:

We know that 2x is equal to w. We also know that the angle of the triangle is 90 degrees. We also know the 90 plus 3x-5 plus w will equal 180 degrees since it is a triangle. So, by substituting the w from w+ 3x-5+90=180 with 2x, we can solve for x by moving all the numbers around. So it goes from 2x+3x-5+90=180 to 2x+3x-5=90 and then to 5x-5=90 and finally to 5×=95 and divide 95 by 5 to get x. And you're done! Hope this helps!

pre-algebra !!!. A class contains 3 female and 9 male students. Find the probability that a student chosen at random is a male, and then a second student chosen at random from the remaining students is also male. 9/16 3/4 1/2 6/11 None of the above

Answers

Answer:

D

Step-by-step explanation:

The first student is from a class of 12.

The first student = 9/12 for the fist male.

The second male is 8 out of 11.

The probability of both being males is

9/12 * 8/11 = 3/4 * 8/11 = 6/11

The answer is 6/11 aka D

Algebra 1 help please
Solve 19a + 11b = 12a + 15 for a.
Select one:
a. 77 – 11b)
b. (15 + 11b 1/7
c. 7 ( 15 – 11b )
d. (15 – 11b)

Answers

Answer:

a = (15-11b)/7

Step-by-step explanation:

19a + 11b = 12a + 15

Subtract 12a from each side

19a-12a + 11b = 12a-12a + 15

7a +11b = 15

Subtract 11b from each side

7a+11b-11b = 15 -11b

7a = 15-11b

Divide by 7

7a/7 = (15-11b)/7

a = (15-11b)/7

Answer:

A = (15-11b)/7

Step-by-step explanation:

23 points! Paige has 3 coats: a pink one, a red one, and a white one. She has a black scarf, a gray scarf and 1 set of white gloves. Determine the different combinations Paige has for staying warm if she always wears a coat, a scarf, and gloves. For your answer, list the total number of possibilities and all possible combinations she has.

Answers

Answer:

6 combinations

Step-by-step explanation:

3 coats => Pink, Red, White

2 Scarves => Black, Grey

Gloves => Only 1

So the combination are drawn in the tree diagram below.

Hi there! Hopefully this helps!

---------------------------------------------------------------------------------------------------------

Since she has 3 coats, 2 scarfs, and 1 glove:

She has 6 ways to choose a coat, a scarf, and a glove(s).

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

My 6 combinations:

1.) Red coat, black scarf, white glove(s).

2.) White coat, grey scarf, white glove(s).

3.) Pink coat, black scarf, white glove(s).

4.) Red coat, grey scarf, white glove(s).

5.) White coat, black scarf, white glove(s).

6.) Pink coat, grey scarf, white glove(s).

Write an equation of the line passing through the given point and satisfying the given condition. Give the equation (a) in slope-intercept form and (b) in standard form.
(6, 2); parallel to 8x - y = 4
(a) Write the equation of the line in slope-intercept form.
(Simplify your answer. Use integers or fractions for any numbers in the equation.)

Answers

Answer:

(a) y=8x-46

(b) 8x-y=46

Step-by-step explanation:

-y=-8x+4

y=8x+4

We know that 8 is the slope, and if we need a equation parallel to this line, then it will have the same slope.

Substitute (6,2)

2=8(6)+b

2=48+b

b=-46

The final answer is y=8x-46

Quick guys! Coordinates: (-3,-2) (0,4) Y=2x+4 Linear or non linear? Why?

Answers

Answer:

Linear

Step-by-step explanation:

y = 2x + 4 is linear -- any equation involving only first powers of x and y (and constants) is linear. You'll usually see linear equations in the forms y = mx + b, ax + by = c, or y - y1 = m(x - x1).

If you take any two points, find the slope of the line between them, and then plug in one point to solve for the constant term (like you did), you will get a linear equation through those points.

Answer:

it is linear pair of the variable

Please help!!! Question is below

Answers

Answer:

A. Obtuse

Step-by-step explanation:

Well we can cross out C and D just by looking at the triangle because the triangle is not equal and there is no right angle.

Also it is not B an acute because not all the angles are acute.

Hence, the answer is A. Obtuse

Answer:

[tex]\boxed{\mathrm{A}}[/tex]

Step-by-step explanation:

An obtuse triangle is a triangle with one obtuse angle and two acute angles.

An obtuse angle is an angle greater than 90 degrees.

An acute angle is an angle less than 90 degrees.

Angle C is an obtuse angle, it is greater than a right angle or 90 degrees.

Angles B and A are acute angles, they are less than a right angle or 90 degrees.

The number of bagels sold daily for two bakeries is shown in the table: Bakery A Bakery B 15 15 52 16 51 34 33 35 57 12 12 9 45 36 46 17 Based on these data, is it better to describe the centers of distribution in terms of the mean or the median? Explain. Mean for both bakeries because the data is symmetric Mean for Bakery B because the data is symmetric; median for Bakery A because the data is not symmetric Mean for Bakery A because the data is symmetric; median for Bakery B because the data is not symmetric Median for both bakeries because the data is not symmetric

Answers

Answer:

Which numbers go to each bakery

Answer:

D.  Median for both bakeries because the data is not symmetric.

Step-by-step explanation:

Can some help please with this MATH! Thanks

Answers

Answer:

19.6 ft

Step-by-step explanation:

4²+x²=20²

16+x²=400

384 = x²

x = 19.6 ft

Answer:

19.6 feet

Step-by-step explanation:

We know that

The hypotenuse is 20 feet, and the bottom leg is 4 feet.

We also know that Pythagorean theorem is used when there is one missing side to a triangle.

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

Substitute in a for 4 and c for 20. The hypotenuse is always the variable c.

4^2 + b^2 = 20^2

16 + b^2 = 400

b^2=384

[tex]\sqrt{384}[/tex] = 19.6

A party mix is made by adding nuts that sell for $2.50 per kg to a cereal mixture that sells for $1 per kg. How much of each should be added to obtain 60 kg of a mix
that will sell for $1.40 per kg?

1. The amount of nuts is ____kg and cereal mixture is ____ kg to obtain 60 kg of a mix that will sell for $1.40 per kg.

Answers

Answer:

n=16 kg

c=44 kg

Step-by-step explanation:

Let

n=nuts at $2.50 per kg

c=cereal at $1 per kg

n+c=60 (1)

2.5n + c=1.40(60) (2)

From (1)

n=60-c

Substitute n=60-c into (2)

2.5n + c=1.40(60)

2.5(60-c) +c=84

150-2.5c+c=84

-1.5c=84-150

-1.5c= -66

Divide both sides by -1.5

c=44 kg

Substitute c=44 into (1)

n+c=60

n+44=60

n=60-44

=16

n=16 kg

The amount of nuts is 16 kg and cereal mixture is 44 kg to obtain 60 kg of a mix that will sell for $1.40 per kg.

What percent of the area underneath

this normal curve is shaded?

[?]%

Hint: Use the 68 - 95 - 99.7 rule.

Enter

Answers

Answer:

The area covered by it is "95%".

Step-by-step explanation:

The given rule "68-95-99.7" specifies that perhaps the breadth around one standard deviation across each edge of the partition covers 68% throughout the area.  Furthermore, the breadth of two standard deviations across each edge of the boundary covers 95% throughout the area.99.7% of something like the region is protected by that same side of three standard deviations along each partition side.  

Consequently, because the shaded region encompasses the range of two standard deviations, the portion protected is 95%.

solve x^2+5x-2=0 Enter your answers,as exact values, in the boxes.

Answers

Answer:

                 √33

x = -5/2 ± ---------

                     2

Step-by-step explanation:

Through completing the square, we get:

x^2 + 5x + (5/2)^2 - (5/2)^2 - 2 = 0, or

(x + 5/2)^2 - 25/4 - 2 = 0.

This simplifies to

(x + 5/2)^2 = 33/4

Taking the square root of both sides yields:

x + 5/2 = ±√(33/4), which can be solved explicityl for x:

                 √33

x = -5/2 ± ---------

                     2

Graph the linear function whose equation is
y - 2 = - * (x + 1) by following these steps:

Answers

Answer:

The slope is -2/3

Step-by-step explanation:

With this its easier to get all of the x's on one side.

distribute the -2/3 to the x and 1. Also add a 2 on each side.

Thats leaves you with y=-2/3x+4/3

You than want to make a chart of x's and y's so you know what this graph looks like

x|y

-3|(10/3)

-2|(8/3)

-1|2

0|(4/3)

1|(2/3)

2|0

3|(-2/3)

To find the slope, it's (y2-y1)/(x2-x1)

So in this case, (0-2)/(2+1)

The slope is (-2/3)

Answer:

Slope = -2/3

Point = (-1,2)

Plot the given point = (-1,2)

Use the slope to plot one more point = (2,0)

Step-by-step explanation:

Jon has to choose which variable to solve for in order to be able to do the problem below in the most efficient manner. 6 x + 3 y = 27. 5 x + 2 y = 21. Which variable should he choose so that he can use substitution to solve the system?

Answers

Answer:

Your answer is A

Step-by-step explanation:

By using substitution method, we obtained the solution of equations (3, 3).

The given linear system of equations are 6x+3y=27 and 5x+2y=21.

What is a linear system of equations?

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Using substitution method we can solve given equations

6x+3y=27 can be written as 2x+y=9 ----------(I)

5x+2y=21 ----------(II)

From equation (I), we have y=9-2x

Substitute y=9-2x in equation (II), we get

5x+2(9-2x)=21

⇒ 5x+18-4x=21

⇒ x=21-18

⇒ x=3

Substitute x=3 in equation (I), we get

2(3)+y=9

⇒ y=3

Therefore, by using substitution method, we obtained the solution of equations (3, 3).

To learn more about the linear system of an equations visit:

https://brainly.com/question/27664510.

#SPJ6

Dilate the figure by a scale factor of 0.5 with the origin as the center of dilation. What are the vertices of the image?
1 F '(3, 2.5), G '(5, 0.5), H '(2, 1)
2 F '(2.5, 3), G '(0.5, 5), H '(0.5, 1)
3 F '(−3, −2.5), G '(−5, −0.5), H '(−1, −0.5)
4 F '(3, 2.5), G '(5, 0.5), H '(1, 0.5)

Answers

Answer:

4. F '(3, 2.5), G '(5, 0.5), H '(1, 0.5)

Step-by-step explanation:

The formula for dilations are

[tex]\left(x_{1}\cdot t_{1},\ y_{1}\cdot t_{1}\right)[/tex] where t1 is the scale factor

F has coordinates (6,5) so you can write

[tex](6*0.5,5*0.5)[/tex]

Multiply 6 by 0.5 and 5 by 0.5 to get

[tex](3,2.5)[/tex]

Next, do G. It has coordinates (10, 1) so you can write

[tex](10*0.5, 1*0.5)[/tex]

Multiply 10 by 0.5 and 1 by 0.5 to get

[tex](5, 0.5)[/tex]

Finally, point H has coordinates (2, 1) so you can write

[tex](2*0.5, 1*0.5)[/tex]

Multiply 2 by 0.5 and 1 by 0.5 to get

[tex](1, 0.5)[/tex]

Hope this helps. Feel free to ask any follow-up questions.

Have a great day! :)

Answer:  F '(3, 2.5), G '(5, 0.5), H '(1, 0.5).

From the image the vertices are F(6, 5), G(10, 1), H(2, 1).

We have to dilate the figure by a scale factor of 0.5 with the origin as the center of dilation.

We will multiply the vertices by 0.5.

So the new vertices will be: F '(3, 2.5), G '(5, 0.5), H '(1, 0.5).

Learn more: https://brainly.com/question/20521181

Please help also with the questions on the picture, it's really urgent too...... Thank you✨

Answers

2.(6-2)x180
=720
2x+2x+x+115+105+100=720
x=80
3.a)(n-2)x180=3960
n=24
b)3960/24=165
Exterior angle=180-165
=15

HELP NOW A dartboard has 20 equally divided wedges, and you are awarded the number of points in the section your dart lands in. If you are equally likely to land in any wedge, what is the probability you will score more than 10 points?

Answers

Answer:

1/2 (or) 0.50 (or) 50%

Step-by-step explanation:

10 out of 20 wedges are worth more than 10.

10/20 = 1/2 (or) 0.50 (or) 50%

Answer:

0.75

Step-by-step explanation:

If a = 4 and b = 7, what is the value of the following expression? 20 ÷ a + 7 • b A. 28 B. 84 C. 54 D. 33

Answers

Answer:

54

Step-by-step explanation:

20 ÷ a + 7 • b

Let a = 4 and b = 7

20 ÷ 4 + 7 • 7

Multiply and divide first

5 + 49

Then add

54

Answer:

54

Step-by-step explanation:

a=4    b=7

20/4=5

7✖️7=49

5+49=54

Hope this helps you!

Write each of the following expressions without using absolute value: PLEASE HELP I WILL MAKE BRAINLIEST TO WHOEVER GETS BOTH OF THEM RIGHT

Answers

Answer:

7

Step-by-step explanation:

the answer is 7 hope this helped

A manufacturing machine has two processes. One of them is repeated 4 times and the second only once. The entire cycle can take no longer than 3 minutes. Which graph represents the overall equation represented by this scenario (all points may not apply to the scenario)? On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 3) and (1, negative 1). Everything to the right of the line is shaded. On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 3) and (1, negative 1). Everything to the left of the line is shaded. On a coordinate plane, a solid straight line has a negative slope and goes through (0, 3) and (1, negative 1). Everything to the right of the line is shaded. On a coordinate plane, a solid straight line has a negative slope and goes through (0, 3) and (1, negative 1). Everything to the left of the line is shaded.

Answers

Answer:

The graph in the attached figure

Step-by-step explanation:

Let

x -----> time of the first process in minutes

y -----> time of the second process in minutes

we know that

The time of the first process multiplied by 4 (because is repeated 4 times) plus the time of the second process multiplied by 1 (because is repeated only once) must be less than or equal to 3 minutes

so

The inequality that represent this situation is

The solution of the inequality is the shaded area below the solid line

The equation of the solid line is

The y-intercept of the solid line is the point (0,3)

The x-intercept of the solid line is the point (0.75,0)

The slope of the solid line is negative m=-4

using a graphing tool

The solution is the shaded area

The graph in the attached figure

Remember that the time cannot be a negative number

Answer: The answer is the last graph so D

Step-by-step explanation: Pogchamp

A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out what price the widgets should be sold for the company to make the maximum profit. y=-10x^2+689x-6775 The selling price should be $

Answers

Answer:

x = $34.45

Step-by-step explanation:

Solution:-

The company makes a profit of $y by selling widgets at a price of $x. The profit model is represented by a parabola ( quadratic ) equation as follows:

                       [tex]y = -10x^2 + 689x -6775[/tex]

We are to determine the profit maximizing selling price ( x )

From the properties of a parabola equation of the form:

                      [tex]y = ax^2 + bx + c[/tex]

The vertex ( turning point ) or maximum/minimum point is given as:

                     [tex]x = -\frac{b}{2a} \\\\x = - \frac{689}{2*(-10)} = \frac{689}{20}\\\\x = 34.45[/tex]

The profit maximizing selling price of widgets would be x = $34.45.

PLS answer ASAP TY!!

Answers

The scale factor is 2

There are 20 players on a soccer team. From them, a captain and an alternate captain have to be chosen. How many possibilities are there?

Answers

Answer:

190 possibilities.

Step-by-step explanation:

The problem is called 20 choose 2, given by the formula for combinations

C(20,2) = 20! / (2! (20-2)!) = 190

alternatively, we can reason it this way:

there are 20 choices to choose a captain and 19 choices for an alternate captain for a total of 380 ways.

However, there are 20 choices to choose an alternate captain and 19 choices for a captain for a total of 380 ways.

Since we are essentially double counting every choice of the posts, we need to divide 380 by 2 to get 190 ways.

Naoya read a book cover to cover in a single session, at a rate of 55 pages per hour. After 4 hours, he had 350 pages left to read. I'm on Kahn so if anyone knows the answer to the question with the 4 graphs let me know.

Answers

Answer:

Total number of pages in book = 570 pages

Step-by-step explanation:

Given:

Rate of reading = 55  page per hour

Number of hour = 4 hour

Total pages remain = 350 pages

Find:

Total number of pages in book

Computation:

Number of pages read = Number of hour × Rate of reading

Number of pages read = 4 × 55

Number of pages read = 220

Total number of pages in book = Number of pages read + Total pages remain

Total number of pages in book = 220 + 350

Total number of pages in book = 570 pages

Total number is gonna =570

I NEED HELP WILL GIVE BRAINLEST!!! PLZ HELP ME

Answers

Answer:

See below

Step-by-step explanation:

To create a dot plot:

We need to draw/put dots with the given data.

You'll find your answer in the attached file.

Let me know if it's not clear!

In the figure below, B is the center of the circle, NL
32, OS = 3x - 2, RB = 26, and SB = 26. Find the value of
X.

Answers

Answer: x=12

Step-by-step explanation:

OQ is equal to NL since both contain 90 degree angles and are intersected by a radius. Since OS is 3x-2 and NL is 32, then we need to find OQ and set it equal to NL. OS is half of OQ, so multiplying OS by 2 will get you OQ. 6x-4=32

That yields x=12.

Answer:

X=12

Step-by-step explanation:

Other Questions
Please answer this correctly without making mistakes Suppose the average length of a fish caught in Lake Springfield is 10.6 in with standard deviation 4.1 in. Assuming lengths of fish caught in Lake Springfield are normally distributed, find the probability that a fish caught there will be longer than 18 in. Which confidence level will yield the interval that we are most confident in containing the actual value of the population parameter? a. 99.2% b. 99.5% c. Our confidence in whether an interval actually contains the parameter is not affected by the choice of confidence level. d. 99.9% PLS HELP ME..... Question (a) and also (b)... If one factor of 6.x2 + 5x 6 is3.x - 2, the other factor isA.3.x + 3B. 6x + 3C. 2x + 3D. 2.x - 3 Use the grouping method to factor this polynomial x^3+2x^2+12x+24 Vibrant Company had $970,000 of sales in each of three consecutive years 20162018, and it purchased merchandise costing $535,000 in each of those years. It also maintained a $270,000 physical inventory from the beginning to the end of that three-year period. In accounting for inventory, it made an error at the end of year 2016 that caused its year-end 2016 inventory to appear on its statements as $250,000 rather than the correct $270,000.1. Determine the correct amount of the companys gross profit in each of the years 20162018. 2. Prepare comparative income statements to show the effect of this error on the company's cost of goods sold and gross profit for each of the years 20162018. Solve for x ......... answer it answer it answer it The canvas of a painting has an area of 64 ft2. What length of frame is needed for the border of the painting? HELP ME ASAP PLISSSSS Read Explain 3 Parts A and B and complete Your Turn #8 below (adapted from Lesson 6.1).8.According to the data from the U.S. Census Bureau for 1990-2009, the number ofcommercially owned automobiles in the United States can be modeled by the functionA(x) = 1.4x 130.6x + 1831.3x + 128,141, where x is the number of years after 1990and A(x) is the number of automobiles in thousands. The number of privately-ownedautomobiles in the United States can be modeled by the functionP(x) = -x + 24.9x 177.9x + 1709.5, where x is the number of years after 1990 andP(x) is the number of automobiles in thousands. Estimate the total number of automobilesowned in 2005. The rehearsal for act 1 and 2 of the school play lasted 5 1/2 hours. If 3 3/4 hours were spent rehearsing act 1, how much time was spent practicing act 2 ? The sum of two positive integers is 37. When the smaller integer is subtracted from twice the larger, the result is 41. Find the two integers. > I am in need of translation help with this of my answers from English to Spanish in the parenthesis using the reflexive verbs/reflexive pronouns. I have provided from the book of Ch 5 examples of how to do appropriate reflexive pronouns attached to this. Describe your daily routine. Use the reflexive verbs of Ch 5 with the appropriate reflexive pronouns. Include the following points: In the Morning 1. What time do you usually wake up and get out of bed? (On my days off, I wake up and get out of bed at 9:30am. On my days of work, I wake up and get out of bed at 5:45am.) 2. Imagine that you wake up with the flu, using the present dense, using the verbs sentirse and doler state that you do nor feel well and then, describe the part part of the body that might be hurting you. (The first part of my body that would be hurting me with the flu is my throat.) 3. Despite the flu you decide to get up and get ready for the day. Give the sequence of events after you wake up for example, have breakfast, wash/ shower, brush teeth, put on make-up, shave, put on clothing, etc. (I get up from bed, use the bathroom, brush my teeth, then I go back to bed to rest.) In the Evening 4. You are back home. Describe your evening routine: eat, remove clothes, wash up/ shower, brush teeth, etc. (I will remove my work clothes and if I have not eaten, I will eat my dinner, brush my teeth and go to bed.) 5. What time do you fall asleep and go to bed? (I fall asleep around midnight and I go to bed around 10:00pm.) The New Deal will be remembered in American history: Group of answer choices as a set of public policy initiatives that did not result in sustained prosperity. as more powerful in scope than future European welfare states. for recasting the idea of American freedom to include a public guarantee of economic security for ordinary people. Two small plastic spheres are given positive electrical charges. When they are 20.0 cm apart, the repulsive force between them has magnitude 0.200 N.1. What is the charge on each sphere if the two charges are equal? (C)2. What is the charge on each sphere if one sphere has four times the charge of the other? (C) GEOLOGY Please help, need to turn it. Summarize the relationship between the composition, temperature, and volatile content of magmas and effusive vs. explosive eruptions. Because you can adapt to your audience while you are speaking, don't worry about analyzing the audience for an oral presentation.A. TrueB. False What is the overall tone created by the speaker?