10. A washing machine repairer charges a total of £T for a repair which takes H hours. The formula
connecting T and H is
T = 35 + 20H.
Find H when T is 85.

Answers

Answer 1

The value of H when T is 85 is 2.5 hours which is calculated from the linear equation in two variables.

The linear equation in two variables is defined as an equation which defines the relationship between two unknown variables.

The general form of linear equation is of the form ax + by = c where a and b are constant co-efficient and c is a constant. Here y is the dependent variable and x is the independent variable.The graph of a linear equation in two variables is a straight line in the cartesian plane.

Given the linear equation for total amount of money(T) which is the dependent variable using the independent variable H(number of hours worked) .

T=35 + 20 H

At T = 85 , we substitute the value of T in the linear equation to find H .

T=35 + 20 H

or, 85 = 35 + 20H

or, 50=20H

or, H=2.5

Therefore the value of H is 2.5 hours when T is 85.

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Related Questions

Select ALL factors of 24.

Question options:

7


8


4


1


48


16


32


3


2


10

Answers

Answer:

1, 2, 3, 4, 8

Step-by-step explanation:

The 8 factors of 24 are:

1, 2, 3, 4, 6, 8, 12, 24

The factor pairs of 24 are:

1 × 24 = 24

2 × 12 = 24

3 × 8 = 24

4 × 6 = 24

Given the following, what is the length, l?
V = lwh
V = 576, w = 6, h = 12

Answers

The value of l is. We use simple substitution of values to find the value of l is 48.

We have been given the equation V=lwh where l is the length, we can say that the given equation is that of volume of a cuboid where l is the length, w is the width and h is the height of the cuboid. We know the values of V,w and h. We have to substitute the values of V,w and h in the equation V=lwh inorder to find the value of l. Substitution method is generally used for solving system of equations where we first solve the value of one variable and then substitute the value in the other equation to find the value of the other variable. Since we only have one equation and we know the value of 3 of the 4 variables we only have to solve for one.

V=lwh

l=V/wh =[tex]\frac{576}{6.12} =\frac{576}{72}[/tex]= 48

Thus we get the value of l to be 48 by substituting the values of V,w and h.

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For the past 15 months, Frank recorded the cost of his monthly home heating bill and the corresponding average monthly temperature. He displayed the information in the scatter plot shown.

Use the drop-down menus below to complete the statements about the scatter plot.

A scatter plot with average monthly temperature (degrees Fahrenheit) on the x-axis, and monthly heating bill (dollars) on the y-axis. Points trend in a line with a negative slope. Points are around (10, 155), (30, 120), (50, 80), (70, 25), (80, 18).

Point (25,125) means that the monthly home heating bill was $
for an average monthly temperature of
°F.

The plot shows that, in general, as the average monthly temperature increases, the amount of the monthly home heating bill
.

Answers

From the given scatter-plot, we have that:

Point (25, 125) means that the monthly home heating bill was of $125 for a month with average temperature was of 25ºF.The plot shows that, in general, as the average monthly temperature increases, the amount of the monthly home heating bill decreases.

What does a scatter plot show?

A scatter plot shows a series of points (x,y), relating the input x to the output y.

For the scatter-plot in this problem, we have that:

The input x is the monthly temperature.The output y is the heating bill.

The points are given as follows:

(10, 155), (30, 120), (50, 80), (70, 25), (80, 18).

When x = 25, y = 125, meaning that the monthly home heating bill was of $125 for a month with average temperature was of 25ºF.

From the points in the scatter plot, when x increases, y decreases, which is the answer for the second item of the question. It makes sense, as when it is hotter, the spending in heaters is unnecessary.

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In an arithmetic sequence, if you are given a3=93 and a5=135, find a=100. Must show work to receive full credit.

Answers

The 100th term of the sequence is 2130.

How to calculate the value?

a3 = a + 2d = 93

a5 = a + 4d = 135

Compute both equations

(4d - 2d) = (135 - 93)

2d = 42

d = 42/2 = 21

a + 2d = 93

a + 2(21) = 93

a + 42 = 93

a = 94 - 42 = 51

100th term will be:

= a + 99d

= 51 + 99(21)

= 51 + 2079

= 2130

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A rental car company charges $37. 50 per day to rent a car and $0. 05 for every mile driven. Alyssa wants to rent a car, knowing that: she plans to drive 100 miles. She has at most $200 to spend. Write and solve an inequality which can be used to determine xx, the number of days alyssa can afford to rent while staying within her budget

Answers

Answer: 4 Days

Step-by-step explanation:

To drive a 100 miles you would do 0.05*100=5

it cost 37.50 everyday and if you add the 5.00 it would cost to drive the 100 miles you get 42.50-200=157.50

37.50*4=150+42.50=192.50

she could rent the car for 4 days

Mr. Sowers wants to purchase expo markers for his classroom. He has a budget of $35. A four-pack of markers costs $5.49, including tax. Write and solve an inequality, using x for the variable, to solve for the number of packs of markers Mr. Sowers can purchase.

Answers

Answer:

5.49x=35

Step-by-step explanation:

the x is the number of markers

lucy left half of her money to her daughter and half that amount to her son. she also left a sixth to her brother and the remainder, 1,000 was left to the dog. how much did she leave altogether?

Answers

The original amount is 12000

How to compute the value

Fraction to daughter = 1/2

Fraction to son = 1/2 × 1/2 = 1/4

Brother = 1/6

The remainder is 1000. The fraction for the remainder will be:

= 1 - (1/2 + 1/4 + 1/6)

= 1 - (6/12 + 3/12 + 2/12)

= 1 - 11/12

= 1/12

Therefore, let the original amount be x

1/12x = 1000

x = 12 × 1000

x = 12000

The original amount is 12000.

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Is 6.5892 a rational number?

Answers

Answer:

No.

Step-by-step explanation:

Rational numbers can be written as a fraction.

6.5892 is a irrational number

Rehan is on holiday in the USA.
Rehan buys
1 pair of trainers costing $60


The exchange rate is $1 = £0.749
Rehan says,
“The trainers cost less than £40”

Rehan is wrong.

Using a suitable approximation, estimate the cost of the trainers in pounds

Answers

The cost of the trainers in pounds which is $60 in the USA is £44.94

What is exchange rate?

The exchange rate between the dollar and the pound sterling is the amount at which both currencies exchange hands, I mean the amount of pound sterling that is given in lieu of $1, in this case, for every $1, the amount of pound sterling that is equivalent to it is £0.749, which means that on the basis of the exchange rate the value of trainers in pounds can be determined as shown in details below:

$1 = £0.749

$60=60*£0.749

$60=cost a pair of trainers=£44.94

In short, a pair of trainers selling for $60 in the USA should cost £44.94 based on the exchange rate of $1 = £0.749

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Suppose your cable company charges its customers $4 to rent a movie. An online membership costs $21 and members pay only $2.50 to rent a movie. For what number of movies is the cost the same?

Answers

The number of movies that will give same cost is 14 movies.

How to calculate the number of movies?

From the information, the cable company charges its customers $4 to rent a movie and an online membership costs $21 and members pay only $2.50 to rent a movie.

Let the number of movies for same cost be represented by x. This will be:

(4 × x) = 21 + (2.50x)

4x = 21 + 2.50x

Collect like terms

4x - 2.50x = 21

1.50x = 21

Divide

x = 21/1.5

x = 14

The number of movies will be 14

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Can someone help with this?

Answers

Answer:

10[tex]\sqrt{15}[/tex] + 21[tex]\sqrt{10}[/tex]

Step-by-step explanation:

-\sqrt{15}(-10-7\sqrt{6})

15

(−10−7

6

)

expand -sqrt15(-10-7sqrt6)

1 Expand by distributing terms.

-(-10\sqrt{15}-21\sqrt{10})

−(−10

15

−21

10

)

2 Remove parentheses.

10\sqrt{15}+21\sqrt{10}

10

15

+21

10

What is the equation of the line?


Answers

Answer:

y=-1/3x

Step-by-step explanation:

The line decreasing from left to right. So, the slope of the line is a negative number. The only answer choice that has a negative number for the slope is A. y=-1/3x.

Hope this helps!

Please mark as brainliest if correct!

Answer:

y = 3x

Step-by-step explanation:

To find the equation of a graphed line, find the y-intercept and the slope in order to write the equation in y-intercept (y=mx+b) form. Slope is the change in y over the change in x.

I will AWard Brainlist !!! Using your knowledge of special right triangles, find the length of y. Its Math problem Help!!!

thanks alot have good day/night.

Answers

Using relations in a right triangle, it is found that the length of y is given by:

[tex]y = 2\sqrt{6}[/tex]

What are the relations in a right triangle?

The relations in a right triangle are given as follows:

The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

The hypotenuse of both triangles is found as follows:

sin(60º) = 6/x.

[tex]\frac{\sqrt{3}}{2} = \frac{6}{x}[/tex]

[tex]x = \frac{12}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}}[/tex]

[tex]x = 4\sqrt{3}[/tex]

Hence length y is found as follows:

[tex]\cos{45^\circ} = \frac{y}{4\sqrt{3}}[/tex]

[tex]\frac{\sqrt{2}}{2} = \frac{y}{4\sqrt{3}}[/tex]

[tex]2y = 4\sqrt{6}[/tex]

[tex]y = 2\sqrt{6}[/tex]

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a child walks due east on the deck of a ship at 4 miles per hour. the ship is moving north at a speed of 5 miles per hour. find the speed and direction of the child relative to the surface of the water.

Answers

the speed and direction of the child relative to the surface of the water. 6.04. m/h

What is relative motion?

It implies that every object's motion is characterized in relation to Earth's motion. It implies that the motion of every item is explained in relation to every other object's motion. Motion is therefore independent of the frame of reference.

The child is walking East and the ship is moving north.

The relative motion of the child to the water is found using vector addition.

This means the speed of the child to the water is

N= √4^2 + √5^2

  =✓16+25

  =✓41

 =6.04 m/h

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A veterinarian is investigating a new type of tick repellant to determine if it reduces the number of ticks on dogs compared to a current popular brand.

Part A: Which of the following design is most appropriate: observational study, experiment, census, or sample survey? Explain your reasoning.

Part B: Explain how you would implement the design you selected in Part A.

Part C: Explain one benefit your design would provide.

Answers

The most appropriate design is an experiment (A), this can be applied by having a control and an experimental group (B), and one benefit is that you can identify the effectiveness (C).

Why is the best design an experiment?

Different from an observational study, a census or a survey that are used to collect information about people's preferences, an experiment allows you to test the effectiveness of a treatment, which is the main purpose in this case.

How to implement it?

The bst is to have a control and an experiment group. For example you select 30 dogs and use the repelant in 15 dogs; then all dogs are exposed to ticks. As a result you can evaluate how effective the repelant is by comparing the two groups.

What benefit will this design provide?You can directly compare the two groups and determine the effectiveness of the repelant.The experiment can be replicated or repeated.

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a researcher wishes to estimate the proportion of all adults in north carolina who own a cell phone. the researcher takes a random sample of 1572 adults; 1298 of them own a cell phone. the population of interest is:

Answers

The result for the research is given as

The population of interest comprises all adults.The parameter of interest is the numbers of adults owing cell phones.The statistic involved 0.83.We don't know the exact proportion.What is statistic?

Statistics is the survey as well as manipulation of data, which includes methods for gathering, reviewing, analyzing, and drawing conclusions from data.

Statistics is divided into two categories: descriptive statistics and inferential statistics.Statistics can be conveyed at various levels, from non-numerical descriptors (nominal-level) to numeric values in regard to a zero-point (ratio-level).To collect statistical data, a variety of sampling techniques such as simple random, systematic, stratification, or cluster sampling can be used.Statistics can be found in almost all of department of every corporation and are also an important part of investing.

Now, as per the given question.

The population of interest consists of all adults.The relevant parameter is p, which is the proportion of adults who have a cell phone.The statistic is the proportion, p, of the 1572 adults in the sample who own a cell phone. The sample proportion stands at 0.83.We don't know the exact proportion with 100% certainty, but we know it's in a certain range with a certain degree of certainty.

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The complete question is -

A researcher wishes to estimate the proportion of all adults who own a cell phone. he takes a random sample of 1,572 adults; 1,298 of them own a cell phone, hence 1298∕1572 ≈ .83 or about 83% own a cell phone.

1. what is the population of interest?

2. what is the parameter of interest?

3. what is the statistic involved?

4. based on this sample, do we know the proportion of all adults who own a cell phone?

Jackie played the drums in the band if he beat the drum at a rate of 110 beats per minute how many bets would he play in 4 1/2 minutes

Answers

Number of beats play by in 4[tex]\frac{1}{2}[/tex] minutes = 495 beats

The number of beats per minute is 110 beats.

The number of beats in 1 minute = 110

The number of beats in 4[tex]\frac{1}{2}[/tex] minute= 110×[tex]4\frac{1}{2}[/tex]

                                                       = 110 × 9/2

                                                       = 495 beats

Therefore we have total of 495 beats in [tex]4\frac{1}{2}[/tex] minutes.

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What is the equation of the line that is perpendicular to the line y = 6 and passes through the point (-4,-3)?
x=-4
x = -3
x = -1/6
x = 6

Answers

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 equation of line is an pure mathematics sort of representing the set of points, that along type a line in a very system. the various points that along type a line within the axis square measure painted as a collection of variables x, y to make an pure mathematics equation, that is named as an equation of a line.

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.

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a man walked for five hours. first he walked along a level road, then up a hill; then he returned around and walked back to his starting place along the same route. he walked a constant 4 miles per hour on the level road, 3 mph uphill and 6 mph downhill. how far did the man walk?

Answers

When he walked a constant 4 miles per hour on the level road, 3 mph on uphill and 6 mph on downhill, then he walked 20 miles

Given,

A man walked for five hours

First he walked along a level road, then up a hill, then he returned around and walked back to his starting place along the same route.

We know,

Speed = Distance/ Time

Time = Distance / Speed

The speed when he walked on the level road = 4 miles per hour

Distance traveled on the level road = A

Time taken = [tex]\frac{A}{4}[/tex]

The speed when he walked on uphill = 3 miles per hour

Distance traveled on the level road = B

Time taken = [tex]\frac{B}{3}[/tex]

The speed when he walked on downhill = 6 miles per hour

Time taken = [tex]\frac{B}{6}[/tex]

Then he walked level road again

Total time taken = Time taken on level road+ Time taken on uphill+ Time taken on downhill+ Time taken on level road

[tex]\frac{A}{4}+\frac{B}{3}+\frac{B}{6}+\frac{A}{4}=5\\ \frac{3A+4B+2B+3A}{12}=5\\[/tex]

6A+6B=60

2A+2B=20

Hence,  when he walked a constant 4 miles per hour on the level road, 3 mph on uphill and 6 mph on downhill, then he walked 20 miles

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the area of a rectangle is 21, and the length of the rectangle is 1 less than twice the width. find the dimensions of the rectangle.

Answers

The dimensions of the rectangle =  6 ft

Geometry defined as:

Along with arithmetic, geometry is among the oldest subfields of mathematics. It is concerned with spatial characteristics like the separation between objects, their shape and size, and their relative positions. Geometer is the term used to describe a mathematician who specializes in geometry.

Why does geometry matter so much?

At a fundamental level, geometry is essential to understand because it lays the groundwork for learning more complex mathematical concepts. Raj Valli, the founder of Thinkster Math, notes that algebra and geometry frequently overlap. In science and math classes, it introduces crucial formulas like the Pythagorean theorem.

According to the given information:

length = 2w - 1

We know that the area:

Area = length * width

Area = 2w - 1 * width

A= 2w^2 -w = 21

2w^2 - w -21 = 0.  Solve for w using quadratic formula.  

[-b±√(b2 - 4ac)]/2a

[1± √((-1)^2 - 4*2*(-21))]/(2*2)

[1± √(1+168)]/4

w = 3.5 ft

length = 2w - 1

= 2*3.5 - 1

= 6 ft

The dimensions of the rectangle =  6 ft.

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2-124. Troy is a fan of baseball, and his favorite player is Moe Jauer of the Minnesota Triplets. Troy made a table displaying how many home runs Jauer hit during his first five seasons. Graph Troy’s data.

Answers

The scatter plot showing Troy's data is given at the end of the answer.

What is a scatter plot, and why it is used in this problem?

A scatter plot shows a series of points (x,y), relating the input x to the output y.

For this problem, it is used because we want to graph a discrete function, as:

The input x is the professional year of the baseball player. The output y is the number of home runs hit by the player in the year.

Both professional year and home runs are countable amounts, that cannot assume decimal values, hence we have a discrete function and use a scatter plot.

From the table presented in this problem, the points for the scatter plot are given as follows:

(1,6), (2,9), (3,13), (4,7), (5,9).

The scatter plot, labeled and with the points, is shown by the graph at the end of the answer.

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Part A
Fill in the blank question.
SHIPPING The U.S. Department of Commerce regulates how much the actual weight of a package can vary from its labeled weight. A package with a labeled weight of 9.4 pounds can have an actual weight that is plus or minus 0.22 pound.



Part A

Write an absolute value equation to represent the maximum and minimum acceptable weights of the package. Let x be the actual weight of the package.

Answers

The simplified value of the maximum weight is 9.62 and the minimum weight is 9.18. Also the function for the maximum and minimum weight is y + x and y - x

Here,

Given that, A package with a labeled weight of 9.4 pounds can have an actual weight plus or minus 0.22 pounds.
Let the weight labeled be y and the actual weight be x
Weight = y ± x
Maximum weight = y + x
Minimum weight = y - x

Weight = 9.4 ± 0.22
Now,
Maximum weight = 9.4 + 0.22 = 9.62 pounds
Minimum weight = 9.4 - 0.22 = 9.18 pounds



Thus, the simplified value of the maximum weight is 9.62 and the minimum weight is 9.18. Also, the function for the maximum and minimum weight is y + x and y - x

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10. Before a race, you start 4 5/8 behind your friend. At the halfway point, you are 3 2/3 ahead your friend. What is the change in distance between you and your friend from the beginning of the race?

Answers

The change in distance between you and your friend from the beginning of the race is 8 7/24.

How to calculate the value?

It should be noted that before the race, you start 4 5/8 behind your friend and at the halfway point, you are 3 2/3 ahead your friend.

Therefore, the change in distance will be the addition of the fractions given.

= 4 5/8 + 3 2/3

= 4 15/24 + 3 16/24

= 7 31/24

= 8 7/24

Therefore, the change in distance between you and your friend from the beginning of the race is 8 7/24.

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A can of soda can have a minimum of 35 milligrams of sodium and a maximum of 45 milligrams of sodium. Write an absolute value inequality
that represents the acceptable amounts of sodium, but don't solve.

Answers

An absolute value inequality that represents the acceptable amounts of sodium is; 35 ≤ A ≤ 45

What is the Absolute Value Inequality?

We are told that a can of soda can have a minimum of 35 milligrams of sodium and a maximum of 45 milligrams of sodium.

Now, an absolute value inequality that represents this expression would be written as;

35 ≤ A ≤ 45

Thus, we conclude that an absolute value inequality that represents the acceptable amounts of sodium is; 35 ≤ A ≤ 45

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solve this please and thank you

Answers

Answer:

b 45

Step-by-step explanation:

its b ur welcome parallel

Answer:

Its 6x6

Step-by-step explanation:

because you have to count going up and over

What is the sum and classification of StartFraction 3 Over 20 EndFraction + StartRoot 10Which is the decimal expansion of StartFraction 7 Over 22 EndFraction?EndRoot?

Answers

The sum of the fraction given in decimal will be 3.46.

How to calculate the fraction?

It should be noted that the information is for us to simply add the values that are given.

This will be:

= 3/20 + ✓10

= 0.3 + 3.16

= 3.46

Therefore, the sum of the fraction given in decimal will be 3.46.

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Solve 6(x+3) < 3(2x+6)​

Answers

Answer:

No solutions.

Step-by-step explanation:

Pre-Solving Given

We are given the inequality 6(x+3) < 3(2x+6), and we want to solve the inequality for x.

Solving

We can first do the distributive property on both sides, where we multiply each term on the left side by 6, and each term on the right by 3.

6(x+3) < 3(2x+6)

6x + 18 < 6x + 18

Solving inequalities is a lot like solving equations; we want to isolate the variable by itself on one side.

First, we can subtract 18 from both sides.

6x + 18 < 6x + 18

    -18           -18

____________________

6x < 6x

Now, we can subtract 6x from both sides, to get 6x off the right side.

6x < 6x

-6x   -6x

0 < 0

We now have the inequality 0 < 0. This is never true, as 0 is always equal to 0.

Therefore, there are no values of x that will make this true, because no matter what, we will end up with a false statement. The answer is no solutions.  

Xio just took a math test with 25 questions, each worth an equal
number of points.
The test is worth 100 points total. If a score of 70
points earns a grade of C, how many questions would Xio need to get
right to get a grade a of C on the test?

Answers

X = number of points per question
25 * x = 100
x = 100/25
x = 4
let y = number of questions right
70 = y*4
y= 70/4
y = 17 r 2
Must round up to fall in the grade boundary:
= 18 question right
18 correct to get a grade of a c

Phaedrus claims that this graph shows a straight
line. Is he correct? Explain why or why not.

Answers

Answer:yes

Step-by-step explanation:

Please help me please

Answers

Answer:

A

Step-by-step explanation:

the big triangle is a bigger version of the smaller triangle, so it had to be a dilation.

Dilations of images are also similar, not congruent, so the answer is A.

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A 12 V battery applies a potential difference to three resistors in series. If the potential at point P is 0.0 V, the potential at point B is: Select the correct answer.The belief that you lose fat mass in a specific body part by concentrating exercise in that area is known as.A. Spot reductionB.A fadC. Weight cyclingD. Toning True or False? Suppose you had a magic bank account in which your balance doubled each day. If you started with just $1, you'd be a millionaire in less than a month. What is the exact value of tan(195)? Determine whether the sentence below is correct or a run-on sentence.Travelers may also take boat trips from Seattle to Victoria, BritishColumbia, then they can go on to Vancouver from Victoria.a.Run onb.CorrectPlease select the best answer from the choices providedAB Calculate the mass in grams of 18.6 mol of CuSO4.5H2O. 1. Web-based applications are application software which operate and canbe accessed throughA. IntranetsB. The World Wide WebC. Desktop applicationsD. Storage hardware What is the answer to the problem: 1.234x139.893and 674.983x278.475 what cultural changes did bipedalism cause find an equation for the line that passes through the points (2,-6) and (-4,-4) What is the purpose of a body paragraph in an essay?to summarize main pointsto present the thesis statementto introduce the topic in an engaging wayto include detailed evidence about the topic Triangles ABC and DEF are similar.Find the length of segment AC. The cost to rent a rug cleaner is $25 plus $15 per hour at Floors, Inc. At Rugs R Clean the rug cleaner costs $45 plus $7 per hour. Which inequality can be used to show how many hours you need to rent the rug cleaner so that Floors, Inc.'s charges will be same the charges at Rugs R Clean? What is the constant of proportionality of 6y=8x? 11 En elparque Recuerdas? After-school activities p. 32Hablar Escoge una persona o un grupo de personas de los dibujos. Segn elmodelo, dale pistas a otro(a) estudiante. l o ella va a adivinar quines o quines son. Trnense para describir a todas las personas.(Choose a person or a group of people from the drawings. Follow the model to give clues to anotherstudent, who will guess the peopleA Es una chica. Byou describe. Change roles andEs la chicadescribe everyone.)Le gusta tocar lade San Antonio.guitarra.San AntonioBogot What is 4x3.14x9x9x9 Which structure is represented by letter A?Choose 1 answer:(Choice A)Cell membrane(Choice B)Ribosome(Choice C)Cytosol(Choice D)Flagellum 1. What color and how many stars appear on our flag?2. What do the stars on our flag mean?3. What color and how many stripes are there in the flag?4. What do the stripes on the flag mean?5. How many states are there in the union?6. What is the date of Independence Day? 7. Independence from whom?8. What country did we fight during the Revolutionary war?9. Who was the first president of the United States?10. Who is the President of the United States now?11. Who is the Vice- President of the United States?12. Who elects the President of the United States?13. Who becomes the President of the United States if the President should die?14. For how long do we elect Presidents to serve?15. What is the constitution?16. What do we call a change in the constitution?17. How many changes to the Constitution are there?18. What are the three branches of government?19. What is the legislative branch of our government?20. What are the duties of Congress?21. How many senators are there in Congress?22. Name the senators from our state.23. For how long do we elect Senators to serve?24. How many Representatives are there in Congress?25. For how long do we elect Representatives to serve?26. What are the duties of the Supreme Court?27. What is the supreme law of the United States?28. What is the Bill of Rights?29. What is the capital of our state?30. Who is the current governor of our state?31. Who becomes President if both the President and Vice President can no longer hold the office?32. Who is the current chief justice of the United States?33. Who said, Give me liberty or give me death?34. What are the 49th and 50th states in the union?35. How many terms can a President serve?36. Who was Martin Luther King?37. Who was Cesar Chavez?38. Name one of the other civil rights leaders39. Who is the head of your local government?40. Name one of the requirements a person must meet in order to be eligible to run for President41. Why are there 100 Senators in the Senate?42. How many Supreme Court Justices are there and who selects them?43. What is the national anthem of the United States and who wrote it?44. Where does freedom of speech come from?45. What is the minimum voting age in the United States?46. Who signs bills into law?47. What is the highest court in the United States?48. Who was the President during the civil war?49. What did the Emancipation Proclamation do?50. What special group advises the President?51. Name three rights or freedoms guaranteed by the Bill of Rights52. Who has the power to declare war?53. What kind of government does the United States have?54. Which President freed the slaves?55. In what year was the Constitution written?56. What are the first ten amendments to the Constitution called?57. Name one purpose of the United Nations.58. Where does Congress meet?59. Whose rights are guaranteed by the Constitution and Bill of Rights?60. What is the introduction to the Constitution called?61. What is the United States capital?62. What is the name of the President's official home and where is it located?63. Who is the commander in chief of the U.S. military?64. In what month do we vote for President?65. Name one of the participating third parties in the last election. If p and a vary inversely and p is 26 when q is 5, determine q when p is equal to 10 TRUE OR FALSE - Spoon theory is a theory, utilizing "Spoons" as a metaphor for energy they can use in a day.