Mathematics High School

One column of numbers consists of 33, 58, and 17. When the digits of the numbers are added together, the result is 3 + 3 + 5 + 8 + 1 + 7 = 27, and when the digits of 27 are then added together, the end result is 2 + 7 = 9. If the same process is performed on the numbers in a second column, what can be concluded? a.If the end result from the second column is also 9, then the sum of the numbers in the first column is equal to the sum of the numbers in the second column. b.If the end result from the second column is also 9, then the sum of the numbers in the first column is not equal to the sum of the numbers in the second column. c.If the end result from the second column is not 9, then the sum of the numbers in the first column is not equal to the sum of the numbers in the second column. d.If the end result from the second column is not 9, then the sum of the numbers in the first column is equal to the sum of the numbers in the second column.excel sum values based on another columnsum if greater than

Answers

Answer 1
The 3rd selection seems appropriate.

If the sum of digits is not 9, the sums will not be equal.

(This is a sometimes-useful way to check math operations of all sorts. The process is called "casting out 9s." It not only works on addition and subtraction, but also multiplication. Division can be checked this way, too, by casting the problem as multiplication. (if a/b=c, then bc=a.))

Related Questions

Given that (-4,1) is on the graph of f(x), find the corresponding point for the function 4f(x)

Answers

f(-4) = 1
4f(-4) = 4

The point of interest is (-4, 4).

Which statement about this product is true?

0.44 ×(−5 3/4)


It is equal to 0 because 0.44 rounded to the nearest whole number is 0, and 0 times any number is 0.


It is equal to −5 3/4 because 4/4 is equal to 1, and 1 times any number equals that number.


It is greater than −3 because 0.44 × 5 3/4 is less than 1/2 × 6


It is less than −5 3/4 because multiplying by a number less than 1 gives a smaller number.

Answers

Answer:

It is greater than −3 because 0.44 × 5 3/4 is less than 1/2 × 6

Step-by-step explanation:

i guessed it and it was right so ye.

50 POINTS!
A high school coach wants to buy new shirts for the 25 members of the track team. The coach must spend less than $300 on the shirts and needs to figure out how much he can spend per shirt, s. Which of the following must be true about the inequality and the resulting graph? Check all that apply

A)The inequality should be written as 25s<300.

B)The inequality should be written as 25s>300.

C)The circle is open.

D)The circle is closed.

E)The arrow points left.

F)The arrow points right

Answers

The inequality should be written as 25s <300, The circle is open, and The arrow points left.

Answer:

Step-by-step explanation:

A,C,E

The data set represents a bimonthly progression of gasoline prices over the course of several months in an unspecified city. Use a graphing calculator to determine the quadratic regression equation for this data set. x 0 2 4 6 8 y 2.86 2.89 2.93 3.04 3.11 a. c. b. d.

Answers

The answer to this question id D

Answer:

y = 0.0027*x^2 + 0.0111*x + 2.8574

Step-by-step explanation:

Using Excel the procedure is:

First, insert x and y values in a table format, as can be seen in the figure

Then, select data

Next, go to insert tab and inside charts options select scatter plot without any lines

Finally, select a point in the plot, right-click, add trend line, polynomial order 2 and check display equation option

helppppppppppppppppppppppppppppppp

Answers

The Binomial Expansion Theorem for a binomial elevated to the fourth power is: [tex](x+y) ^{4} = x^{4} + 4 x^{3} y + 6 x^{2} y^{2} + 4x y^{3} + y^{4} [/tex]
Now lets apply this to our expression: 
[tex](y^{3} +3x)^{4} = y^{12} +12x y^{9}+54 x^{2} y^{6}+108 x^{3} y^{3} +81 x^{4} [/tex]
The third term in our binomial expansion is [tex]54 x^{2} y^{6} [/tex]; therefore, the correct answer is the fourth one.

A car rental company's standard charge includes an initial fee plus an additional fee for each mile driven. The standard charge S (in dollars) is given by the function =S+0.60M18.95, where M is the number of miles driven.

The company also offers an option to insure the car against damage. The insurance charge I (in dollars) is given by the function =I+0.15M3.70
.

Let C be the total charge (in dollars) for a rental that includes insurance. Write an equation relating C to M. Simplify your answer as much as possible.

Answers

Lets see... we have two companies charging two different prices.  So, the first thing we need to do if find the equation of both companies. Company A: c= 0.25m+30       m is the number of miles, which costs .25 cents.  Hence, .25mCompany B: c= 0.10m+40      it charges 10 cents per mile, which is 0.10 m Now, make the two equations equal to each other.  The answer that we get will be the exact number when you pay the same cost for either company A or B.  In other words, at that number of miles you don't care which company you choose.  However, if you go beyond that number of miles or below that number of miles, it will make a difference. 0.25m+30=0.10m+40     Subtract 30 from both sides          -30              -300.25m=     0.10m+10      Subtract 0.10m from both sides  -0.10m    -0.10m0.15m= 10                      Divide both sides by 0.15     m= 66 2/3   Up to that point, company A will be the best choice.  After that particular number of miles, company B will be the better choice. Hope this helps you.

~ Natalia 
 

Sylvia is going to pick out a souvenir hat while she is on vacation. She knows the price of the hat will increase by 5% when she pays sales tax. She writes the expression h + 0.05h to find the total amount she will pay for the hat if it costs h dollars. Jin correctly writes another expression, 1.05h, that will also find the the total amount Sylvia will pay for the hat if it costs h dollars. Use the drop-down menus to explain what each part of Sylvia's and Jin's expressions mean.

Answers

We will evaluate both expressions step by step.

 Sylvia's espression:
 h + 0.05h
 h: Original hat price.
 0.05h: Increase of 5% due to sales tax.

 Jin's expressions:
 1.05h 
 h: Original hat price.
 1.05: Factor for which you must multiply the original price to add 5% due to sales tax.

Answer:

Step-by-step explanation:

Sylvia's expression

H: Price of hat

0.05: percent sales tax

0.05 h: amount of sales tax Sylvia will pay

h+0.5 h: total amount Sylvia will pay

Jin's Expression

1.05: One whole plus percent sales tax

H: price of hat

1.05 h: total amount Sylvia will pay

helpppppppppppppppppppppppppppppp

Answers

x³-x²-17x-15║(x-5)
-------------------------------
-x³+5x²             (x²+4x+3)----------- > the quotient q(x)
4x²-17x-15
-4x²+20x
3x-15
-3x+15

the quotient q(x) is  x²+4x+3
the answer is the option x²+4x+3

The measure of Angle E, the angle of elevation from point A to point B, is ( 3 x plus 1 ). The measure of Angle D, the angle of depression from point B to point A, is 2 ( x plus 8 ) Find the measure of each angle.

Answers

Let
E----------------> angle of elevation
D----------------> angle of depression
we know that
E=(3x+1)
D=2(x+8)
remember that
angle of elevation is equals to angle of depression------> by alternate angles
then 
E=D
(3x+1)=2(x+8)-----------> 3x+1=2x+16----------> 3x-2x=16-1-----> x=15
E=3*15+1-------> 46°
D=2*15+16-----> 46°

the answer is
the measure of angle of elevation and angle of depression is 46°

Zach uses his car for business and must keep accurate driving records so that his company will reimburse him for car expenses. When he started his trip, the odometer read 26.645, When he returned home, the odometer read 28,017. Zach's car gets about 48 miles per gallon. If the tank was full at the beginning of the trip and it cost $62.28 to fill the tank at the end of the trip, what price did Zach pay per gallon?

Answers

His end mileage minus his starting mileage will give us the total number of miles he traveled.  28017-26645=1372 miles traveled.
We can divide that by his average mpg to figure out how many gallons of gas he bought:
1372/48 = 28.583 gallons.
Now divide the amount he paid by this to get the price per gallon:
62.28/28.583 = $2.179 per gallon of gas.

What are the roots of the polynomial equation?

x2−14x−32=0

Answers

x2−14x−32=0
We can easily factor that into:
(x +2) * (x -16) = 0
x1 = -2
x2 = 16




We are given the quadratic equation :

[tex] x^{2} -14x-32=0 [/tex]

Now let us use AC method to factorise it.

Step 1:

Find product of A and C

A=1 and C =-32

A*C =-32

Step 2:

Find factors of -32 such that they add up to give -14.

Factors of -32 that add up to give -14 are -16 and 2.

Step 3:

Rewrite the equation using factors found in step 2.

[tex] x^{2} -16x +2x -32 =0 [/tex]

Step 4:

Factoring by grouping.

[tex] x(x-16) +2(x -16) =0 [/tex]

[tex] (x-16) (x+2) =0 [/tex]

Step 5:

Find roots.

x-16=0 gives x=16

x+2=0 gives x=-2

Answer : Roots of the given Polynomial equation are 16 and -2.


We are given the quadratic equation :

[tex] x^{2} -14x-32=0 [/tex]

Now let us use AC method to factorise it.

Step 1:

Find product of A and C

A=1 and C =-32

A*C =-32

Step 2:

Find factors of -32 such that they add up to give -14.

Factors of -32 that add up to give -14 are -16 and 2.

Step 3:

Rewrite the equation using factors found in step 2.

[tex] x^{2} -16x +2x -32 =0 [/tex]

Step 4:

Factoring by grouping.

[tex] x(x-16) +2(x -16) =0 [/tex]

[tex] (x-16) (x+2) =0 [/tex]

Step 5:

Find roots.

x-16=0 gives x=16

x+2=0 gives x=-2

Answer : Roots of the given Polynomial equation are 16 and -2.


Eugene knows the circumference of a circle is 125.6 meters. Does he have enough information to find the area?

Answers

[tex]\bf \textit{circumference of a circle}\\\\ C=2\pi r\quad \begin{cases} r=radius\\ -----\\ C=125.6 \end{cases}\implies 125.6=2\pi r\implies \cfrac{125.6}{2\pi }=\boxed{r} \\\\\\ \textit{area of a circle}\\\\ A=\pi r^2\qquad \qquad \implies A=\pi \left( \boxed{\cfrac{125.6}{2\pi} } \right)^2[/tex]

Answer:

the answer is a

Step-by-step explanation:

i did the test

Find the range of ƒ(x) = –2x – 5 for the domain {–2, –1, 1, 2}.

Answers

-2(-2)-5= -1      -2(-1)-5=-3   -2(1)-5=-7     -2(2)-5=-9

By substituting each value of the domain of x in the function and solving it we will get the range of the function for respective domain

The given function is :

f(x) = -2x - 5

For x = -2 , f(x) is:

f(-2) = (-2*-2) - 5 = 4 - 5 = -1

For x = -1, f(x) is :

f(-1) = (-2*-1) - 5 = 2 - 5 = -3

For x = 1 , f(x) is

f(1) = (-2*1) - 5 = -2 -5 = -7

For x = 2, f(x) is

f(2) = (-2*2) - 5 = -4 -5 = -9

The range is -1 , -3 , -7 , -9

Hope this helps ..!!

Thank you :)


Rachel earned $34 dollar sign, 34 in 4 hours at her job today. She wants to know how much she could earn (e)left parenthesis, e, right parenthesis tomorrow if she works 10 hours at the same hourly rate

Answers

She gets 17 in 2 hours, and $85 in 10 hours.

Answer: Hence, She earned $85 in 10 hours at her job.

Step-by-step explanation:

Since we have given that

In 4 hours at her job, amount she earned = $34

We need to find the amount she earned in 10 hours.

We will use unitary method, to find this.

In 4 hours, amount = $34

In 1 hour, amount is given by

[tex]\dfrac{34}{4}[/tex]

In 10 hours, amount is given by

[tex]\dfrac{34}{4}\times 10\\\\=\dfrac{340}{4}\\\\=\$85[/tex]

Hence, She earned $85 in 10 hours at her job.

Choose the graph which represents the solution to the inequality.

Answers

The answer is D

To solve the inequality:

3-2x >= -17
-2x >= -20
x <= 10       when you divide by a negative, the inequality sign switches 

Graph D covers all numbers less than or equal to 10
I believe that D is correct. When u solve this, it is 3-2x is greater than or equal to -17. you need to isolate x, so you minus 3 from each side. Since 17 is negative, you are just adding a negative to the other side, giving you -20 is less than or equal to -2x. since it is a negative, you do -20/-2. But don't forget, that it was a negative, so you need to switch the sign. So x is less than or equal to 10. I hope this works!!! Another way to check is to plug your answer back into the equation and see if it works. 
PS. Open circle is without the bottom equal sign, Closed circle always has to bottom line. I always get confused with those. 

You work at an ice-cream shop. One of your jobs is to order new ice-cream cones. You pick the cone that is 5 inches high and has a diameter of 3.5 inches. What is the volume of each cone? Use 3.14 to approximate pi. Round your answer to the nearest whole number.

Answers

we have that
the Volume of cone=(1/3)*B*h
B=the area of the base
h= the height of the cone
D=3.5 in-----------------> r=D/2=1.75 in
h=5 in
B=pi*r²---------> 3.14*1.75²=9.616 in²
V=(1/3)*9.616*5=48.08 in³--------> 48 in³

the answer is 48 in³

Answer:

The answer is about 16

Step-by-step explanation:

.help please and thank you

Answers

it is the SAS Postulate
Use Side Angle Side (SAS)

What is the area of this polygon?

Answers

The above polygon is a pentagon 
The polygon has a rectangle and a triangle 
Area of triangle FSCW
 = Length × width
 =  9 × 2
 = 18 square units
area of triangle FNS
 = 1/2 × base× height
 = 1/2 × 9 × 6
  = 27 square units
Therefore the area of the polygon is
   = 27 + 18
   = 45 square units

can someone help me with this?

Answers

Add up the values in row 1 and row 2, which correspond to the groups "under age 12" and "13 to 30 years old" respectively

6+7 = 13 individuals under age 12
7+4 = 11 individuals 13 to 30 years old
13+11 = 24 people total from the two groups

There are 6+7+7+4+4+1 = 29 people total from the entire survey

So the final answer is 24/29. It cannot be reduced further.

Choose the option that correctly completes the statement.

A triangle must have _____ one acute angle.
at most
at least

Answers

at least one acute angle
at least is the answer 

Find the constant of variation k for the inverse variation. Then write an equation for the inverse variation. Y=4.5 when x = 3

Answers

[tex]\bf \qquad \qquad \textit{inverse proportional variation}\\\\ \textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad y=\cfrac{k}{x}\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array}\\\\ -------------------------------\\\\ \textit{we also know that } \begin{cases} y=4.5\\ x=3 \end{cases}\implies 4.5=\cfrac{k}{3}\implies 4.5(3)=k \\\\\\ 13.5=k\qquad therefore\qquad \boxed{y=\cfrac{13.5}{x}}[/tex]

PLEASE HELP
8.04b

1. Eliminate the parameter.
x = 5t, y = t + 8

A) y = 5x + 8
B) y = x divided by five + 8
C) y = 5x - 8
D) y = x divided by five - 8

2. Eliminate the parameter.
x = square root of x , y = 3t + 7

A) y = 3x2 + 7
B) y = 3 square root of x + 7, x ≥0
C) y = 3 square root of x - 7, x ≥0
D) y = 3x2 - 7

3. Eliminate the parameter.
x = t2 + 2, y = t2 - 4

A) y = x - 6, x ≥ 1
B) y = x + 6, x ≥ 1
C) y = x2 - 6, x ≥1
D) y = x2 + 6, x ≥1

4. Eliminate the parameter.
x = 4 cos t, y = 4 sin t

Answers

These are four questions and four answers:

Question 1. Eliminate the parameter. x = 5t, y = t + 8
 
Answer: option B: y = (x / 5) + 8 ↔ x divided by 5 + 8

Explanation:

1) From x = 5t => t = x / 5

2) Substitute t in y = t + 8 => y = (x / 5) + 8

Which is the option B) y = the division of x by 5, added to 8.

Question 2. Eliminate the parameter.

There is an error in the question, because it says x = √x

If the righ question is x = √t , y = 3t + 7 , then the answer is the option A) y = 3x^2 + 7

Explanation:

1) Given: x = √t , y = 3t + 7

2) from x = √t => t = x^2

3) Substitute t = x^2 in y = 3t + 7

=> y = 3 x^2 + 7 ↔ option A) y = x^2 + 7

Question 3. Eliminate the parameter.

x = t^2 + 2, y = t^2 - 4

Answer: option A) y = x - 6

Explanation:

1) From x = t^2 + 2 => t^2 = x - 2

2) Substitute t^2 in y = t^2 - 4

=> y = x - 2 - 4

=> y = x - 6, since t^2  is ≥ 0, then x ≥ 0

=> option A) y = x - 6, x ≥ 1

Question 4. Eliminate the parameter.
x = 4 cos t, y = 4 sin t

Answer: x^2 + y^2 = 16

Explanation:

1) Square both sides of x = 4 cost

=> x^2 = (4 cos t)^2

x^2 = 16 (cos t)^2

2) Square both sides of y = 4 sin t

y^2 = 16 (sin t)^2

3) Add x^2 and  y^2

x^2 + y^2 = 16(cos t)^2 + 16 (sin t)^2

=> x^2 + y^2 = 16 [ (cos t)^2 + (sin t)^2 ]

4) since (cos t)^2 + (sin t)^2 = 1

x^2 + y^2 = 16

Mrs. Rodriguez has 18 packages of pens in stock at her store on monday. On tuesday, she has 5/6 the number of pens she had on monday. On Wednesday, she has 2/5 of the number of pens she had on tuesday. How many packages of pens does she hve on Wednesday?

Answers

she should have 6 pens left over

Mrs. Rodriguez has 18 packages of pens in stock at her store on Monday.

[tex] Number \; of\; packages\; of \; Pens\; on\; Monday=18\\ \\ [/tex]

On Tuesday, she has 5/6 the number of pens she had on Monday, which means...

[tex] Number \; of\; packages\; of \; Pens\; on\; Tuesday=\frac{5}{6} \; of \ 18 = \frac{5}{6} \times 18=\frac{90}{6}=15\\ [/tex]

On Wednesday, she has 2/5 of the number of pens she had on Tuesday, which means...

\\ Number \; of\; packages\; of \; Pens\; on\; Wednesday = \frac{2}{5} \; of \ 15=\frac{2}{5} \times 15=\frac{30}{5}=6

Conclusion:

Number of packages of pens does she have on Wednesday is 6 Packages

helppppppppppppppppppppppp

Answers

Answer:
10.3 units

Explanation:
Triangle ABC is a right-angled triangle. This means that we can apply special trig functions.
We are given that:
angle B = 25 degrees and AB = 4 units
Therefore:
cos(B) = adjacent / hypotenuse
cos(25) = 4 / BC
BC = 4.414 units
tan(B) = opposite / adjacent
tan(25) = AC / 4
AC = 1.865

Finally, we can get the perimeter as follows:
perimeter = AB + BC + AC
perimeter = 4 + 4.414 + 1.865
perimeter = 10.279 which is approximately 10.3 units

Hope this helps :)
Known Values Angle A = 90°
Side c = 4 
Angle B = 25° 
Step #1: Find angle C by subtracting the other 2 angles from 180°. 
C = 180° - A° - B° 
C = 180° - 90° - 25° 
C = 65°
Step #2: Use the Law of Sines to find side a. 
a / sin(A) = c / sin(C) 
a / sin(90°) = 4 / sin(65°) 
a = (sin(90°) x 4) / sin(65°) 
a = 4.414
Step #3: Use the Law of Sines to find side b. 
b / sin(B) = c / sin(C) 
b / sin(25°) = 4 / sin(65°) 
b = (sin(25°) x 4) / sin(65°) 
b = 1.865
So you have the sides
c = 4
b = 1.865
a = 4.414

The perimeter is all the sides added up
P = 4 + 1.865 + 4.414
P = 10.279
That can be rounded to 10.3 units

Hope this helps!

Picture included!
What is the slope of the line shown in the graph?

A.) -1
B.) -2
C.) 1/2
D.) 2

Answers

By looking at the point 1,1 and 0,3 you rise two and over one creating the ratio 2/1 which reduces down to 2 
:D
so, notice in the picture, let's use those points of 0,3 and 1,1

[tex]\bf \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ 0 &,& 3~) % (c,d) &&(~ 1 &,& 1~) \end{array} \\\\\\ % slope = m slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1-3}{1-0}\implies \cfrac{-2}{1}\implies -2[/tex]

Graph the following inequality and then select the correct graph below.

y ≤ x - 2

Answers

It would be the third graph for y<=x-2

Hope it helps.

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

[tex]y\leq x-2[/tex]

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

The equation of the line is [tex]y= x-2[/tex]

The slope of the line is positive [tex]m=1[/tex]

The y-intercept of the line is the point [tex](0,-2)[/tex]

The x-intercept of the line is the point [tex](2,0)[/tex]

therefore

the graph in the attached figure

Using the completing-the-square method, rewrite f(x) = x2 + 10x + 7 in vertex form.

Answers

Let's begin with moving the constant to the side with f(x):
f(x) - 7 = x² + 10x

Next let's add (half of 10)² to both sides of the equation: btw that is 25 but on the right side we will leave it as 5² because it will make the factoring easier

f(x) - 7 + 25 = x² + 10x + 5²

Lets simplify the left side a bit and factor the perfect square trinomial on the right.

f(x) + 18 = (x + 5)²

Finally move the constant back to the side with the binomial

f(x) = (x + 5)² - 18

The vertex is (-5, -18)

Using the completing-the-square method the vertex form of the function

f(x)  =  x²  +  10x  +  7 is f(x)  =  (x  +  5)²  -  18

The given function is:

f(x)  =  x²  +  10x  +  7

Comparing f(x)  =  x²  +  10x  +  7 with f(x) = ax² + bx + c

a  = 1,  b = 10,  c  = 7

(b/2)²  =  (10/2)²  =  5²

Add and subtract 5² to the right hand side of the equation

f(x)  =  x²  +  10x + 5² +  7 - 5²

f(x)   =  x²  +  10x  +  5²  +  7 - 25

f(x)   =  x²   +  10x  +  5²  - 18

f(x)  =  (x  +  5)²  -  18

f(x)  =  (x  +  5)²  -  18 is of the form f(x) = a(x - h)² + k which is the vertex form of a quadratic equation

Therefore, the vertex form of the function f(x)  =  x²  +  10x +  7 is

f(x)  =  (x  +  5)²  -  18

Learn more here: https://brainly.com/question/19105786

How to find two consecutive positive even integers such that their sum is 48?

Answers

There is no possible answer

22 + 24 = 46

24 + 26 = 50

think of 2 numbers that subtract to 5 and multiply to 24

Answers

To solve this
write out all the numbers that multiply to get to 24 and subtract and see which will be 5
1 * 24 <---    -23
2* 12 <---   -10
3*8 <---  -5
4*6 <--- -2
6*4 <--- 2
8*3<---  5
12*2<--- 10
24*1<---23

We can see that 8 and 3 multiply to get 24 and subtract to get 5

8*3 = 24
8 - 3 = 5

Hope this helps :)

A jar contains 17 orange,7 pink, and 4 black marbles. A marble is drawn at random.What is the probability that the marble is pink or orange

Answers

Sample space = 17 + 7 + 4 = 28
P(pink) = 7/28
P(orange) = 17/28
P(pink or orange) = P(pink) + P(orange)
P(pink or orange) = 7/28 + 17/28
P(pink or orange) = 24/28
P(pink or orange) = 6/7 or 0.857143 or 85.7%
Other Questions
Which of the following is an example of an open-ended question A. What did you think about Boston? B. How did you travel to Boston? C. Did it rain while you were visiting Boston? D. Did you visit Paul Reveres house If 10.0 liters of H2(g) at stp is heated to a temperature of 546 K what is the new volume Walking home late at night after watching a scary movie at a friend's house, ashley suddenly hears a strange, shrill noise that almost sounds like a distant scream. her heartbeat and blood pressure increase, her muscles tense, her mouth goes dry, and she begins to perspire. ashley is experiencing the _____ component of emotion that is due to the activation of her _____. Explain why westward expansion created a clash between sectional interests in Missouri Help please ....zzzghg The First Great Awakening in the American coloniesfeatured traveling preachers that drew large audiences.led to the formation of exclusive social groups in cities.consisted of small crowds of government officials.created harmony within most religious groups. A farmer has 300 ft of fencing with which to enclose a rectangular pen next to a barn. The barn itself will be used as one of the sides of the enclosed area.What is the maximum area that can be enclosed by the fencing?_______ft^2 Functional design involves ______. reliability, maintainability, and usability perceptual maps reverse engineering a feasibility study How could a places physical features impact its land use and economy? Find the area of the triangle. Round the answer to the nearest tenth.A.68.4 square unitsB.75.3 square unitsC.84.5 square unitsD.136.7 square units the distance between two cities on a map is measured to be 4 inches. the actual distance between the cities is 448 miles. what is the scale of the map? Which equation can pair with 3x + 4y = 8 to create a consistent and independent system? A woman wearing snowshoes stands safely in the snow. If she removes her snowshoes, she quickly begins to sink. Explain what happens in terms of force and pressure. A rectangular prism has a length of 20 in., a width of 2 in., and a height of 3 1/4 in.The prism is filled with cubes that have edge lengths of 1/4 in.How many cubes are needed to fill the rectangular prism?Enter your answer in the box.To fill the rectangular prism, cubes are needed. What affect does attendance have on students' grades in science class? Write the independent variable, the dependent variable, and the hypothesis. A model car has a windshield with dimensions 1/18 the size of a real car windshield. The rectangular windshield of the real car has an area of about 2318 sq in, with a width of 61 in. What are the side lengths of the model car's windshield? Round to the nearest hundredth? Which groups of social theorists would focus most on macro-level analysis when examining patterns of society? symbolic interactionists and structural functionalists symbolic interactionists and conflict theorists conflict theorists and structural functionalists conflict theorists and symbolic interactionists? que elementos favorecieron o limitaron el desarrollo de mexico despues de la revoluci??n? What is the definition of Sport? What is the sociology of sport? Which of the following elements are nonmetals? A. lithium (Li) and barium (Ba) B. palladium (Pd) and zinc (Zn) C. nitrogen (N) and sulfur (S) D. beryllium (Be) and magnesium (Mg)