Alexandra missed 52 questions on her multiple choice science final and earned a
grade of 74%. How many total questions were on the final exam?

Answers

Answer 1

Answer:

Step-by-step explanation:

100-74-26

26%->52

100%->52÷26×100

             = 200


Related Questions

if 4 shirts and 3 ties cost 241. and 3 shirts and 4 ties cost 200. what is the cost of 1 shirt and 1 tie?​

Answers

Answer:

cost of 1 tie = 11

cost of 1 shirt = 52

Step-by-step explanation:

4 x 3/4 is greater than 3/4 , since 4 is greater than 1. True o false

Answers

Answer:

Trueeee I guessss

Step-by-step explanation:

I don't know

The answer is true! It can’t be False because that’s all correct

Does anybody know how to do this or at least part of it anything would really help!!

Answers

Answer:

So the given equation is h= -5t^2+40t

the first question asks when it will be 75 meters above the ground. So plug in 75 for h and find t

75= -5t^2+40t

start by dividing everything by 5

15= -x^2 + 8x

then you can add x squared to both sides and subtract 8x

x^2 - 8x + 15 =0

then you can plug it into the quadratic formula, which is a pain to type so I did it on paper.

x = 5 or 3

so it will be 75 meters above the ground at 3 seconds and 5 seconds

Rewriting the equation

ok so I accidentally already factored it when I divided everything by 5...

I believe the answer here is x^2 - 8x + 15 =0

The meaning of the x intercepts is when h=0 or the object is 0 meters above the ground (basically when it starts and when it ends)

the maximum height is greater than 75 because it gets to 75 meters 3 seconds after it is thrown, and continues going higher before it comes back to 75 two seconds later.

The object is airborne for 8 seconds because the second x intercept is at (8,0)

solve for n.

1.) 7.26 × 0.22=n
2.) 17.92 × 0.64=n
3.) 7.65 × 0.65=n
4.) 36.20 × 0.05=n
5.) 31.86 × 0.92=n​

Answers

Answer:

1.) 1.5972

2.) 11.4688

3.) 4.9725

4.) 1.81

5.) 29.3112

Help please pls pls pls

Answers

Answer:

The right answer is  neither

Step-by-step explanation:

I said because Exponential describes a very rapid increase. ... Exponential is also a mathematical term, meaning "involving an exponent." When you raise a number to the tenth power, for example, that's an exponential increase in that number. the part involves exponent is the y part same number multiple to it self to get the next answer  while the x part one specific number to get the next number which is linear but since theyre asking about the relationship it’s neither because both were supposed to have the same relationship linea for x and y or exponential for x and y but they both are different.

PLZZZ HELP IT'S FOR MIDDLE SCHOOLLLLL
jordans dog weighs p pounds emmett's dog weighs 25% more than jordan's dog which expressions represent the weight in of emmett's dog? a.0.25p b.1.25p c. p + 0.25 d. p + 1.25 e. p + 0.25p. Select two answers.

Answers

Answer:

B

Step-by-step explanation:

I think because if it weighs 25% more, then Jordans dog is the "1" part and Emmetts dog is the .25 part.  

Answer:

B, 1.25p

Step-by-step explanation:

Lets say that Jordan's dog is a certain weight making him 1, It says Emmett's dog weighs 25% more, so that would give us 1.25. Now the reason is that it's B instead of C is that we have a p next to our 1.25. This means that its 1.25 x p, p being your pounds. So if you were to understand this equation, it would be, 1.25 x pounds. Let's also remember 1 x 1 = 1. So 1 x 1.25 is 1.25. 1 times anything is going to be the same number.

i need help asap:

The lengths of a triangular plot of land
measure 19 yards, 23 yards and 27 yards.
Find the largest angle for this plot of
land.

Answers

Answer:

79.4° to the nearest tenth of a degree

Step-by-step explanation:

You are trying to find the angle opposite the side of length 27.

Let the length of that  side be c and a and b be the lengths of the other two sides and let C be the measure of the angle you are looking for

Using the law of cosines

[tex]c = \sqrt{a^{2} + b^{2} - 2abcos C}[/tex]

[tex]27 = \sqrt{19^{2} + 23^{2} - 2(19)(23)cosC}[/tex]

[tex]27^{2} = 19^{2} + 23^{2} - 2(19)(23)cosC[/tex]

729 = 361 + 529 - 874cosC

729 = 890 - 874cosC

-161 = -874cosC

-161/-874 = cosC

.1842105.... = cosC

C = arccos .1842105.... = 79.4° to the nearest tenth of a degree

Write the third column of the matrix as a linear combination of the first two columns, if possible. (If not possible, enter IMPOSSIBLE on both answer blanks.) 1 2 15 7 8 57 6 5 34

Answers

Answer:

Elements in third column = - (elements in the first column) + 8(elements in the second column)

Step-by-step explanation:

A matrix is a rectangular array in which elements are arranged in a rows and columns.

Order of a matrix = Number of rows × Number of columns

Given matrix is [tex]\left[\begin{array}{ccc}1&2&15\\7&8&57\\6&5&34\end{array}\right][/tex]

Here,

[tex]15=-1+8(2)\\57=-7+8(8)\\\34=-6+8(5)[/tex]

So,

Elements in third column = - (elements in the first column) + 8(elements in the second column)

True or false: is x=4 a solution to |x+5| =-9?. Explain

Answers

Answer:

No

Step-by-step explanation:

if u subsitute x for 4, 4+5 would equal positive 9.

marissa rode her bike to the park and back home. halfway to the park, she stopped at the library. she lives 1 3/10 miles from the library. how many miles did marissa ride her bike in all?

Answers

Answer:

5 2/10 miles or 5 1/5 miles, if you need to reduce fractions

Step-by-step explanation:

The way they wrote this is kind of confusing. Home to library = 1 3/10 miles. That's halfway to the park, so the distance to the park is 1 3/10 + 1 3/10 = 2 6/10 miles.

Then she had to ride that same distance home, so add

2 6/10 + 2 6/10 = 4 12/10 = 5 2/10

If your teacher has you reduce fractions, then it's 5 1/5 miles.

The number of miles did  marissa ride her bike in all should be 5 2/10 miles or 5 1/5 miles.

Calculation of the number of miles:

Since

She lives 1 3/10 miles from the library.

So here the distance to the park should be

= 1 3/10 + 1 3/10

= 2 6/10 miles.

Now we basically add it

= 2 6/10 + 2 6/10

= 4 12/10

= 5 2/10

hence, The number of miles did  marissa ride her bike in all should be 5 2/10 miles or 5 1/5 miles.

Learn more about miles here: https://brainly.com/question/20930272

15 3/4percent is equal to which decimal

Answers

Answer:

Step 1: Multiply the whole number by the denominator:

15 3/4 = 15.75

Step-by-step explanation:

Step 1: Multiply the whole number by the denominator:

15 × 4 = 60

Step 2: Add the product you got in Step 1 to the numerator:

60 + 3 = 63

Step 3: Divide the sum from Step 2 by the denominator:

63 ÷ 4 = 15.75

That's it folks! The answer to 15 3/4 in decimal form is displayed below:

How much interest would you have if you deposited $200 that if you deposited $150? ​

Answers

Answer:

Difference = 206 - 154.5 = $51.5

In short, Your Answer would be: $51.5

Pls help I’ll brain-lest ASAP

Answers

P = 2( L + W )

-divide both sides by 2

P/2 = L + W

-subtract L from both sides

P/2 - L = W

or

(P - L) / 2 = W

find the product 27x3

Answers

Answer:

81

Step-by-step explanation:

2

27

x 3

------

8 1

Answer:

81

Step-by-step explanation:

27 × 3

81

Based on what you've read, answer the following questions.


What number, when substituted for x in the following problem, will make the problem true?

6x + 8x = 10x


How can you insert two radical signs in the following problem to make it true?

5 = 4 + 4 + 4⁄4


Square the following numbers.

a. 4

b. 6

c. 13

d. 10


Cube the following numbers.

a. 1

b. 2

c. 4

d. 8


Rewrite the following exponential abbreviations as multiplication problems.

a. 22

b. 84

c. 123

d. 205


Write the following multiplications as exponential abbreviations.

a. 5 × 5

b. 7 × 7 × 7 × 7

c. 2 × 2 × 2

d. 9 × 9 × 9 × 9 × 9


Write the values of the following exponential abbreviations.

a. 33

b. 142

c. 125

d. 90

e. 44

f. 171


Rewrite each number using scientific notation.

a. 7,600

b. 23,400

c. 167,000

d. 2,000,000,000


Rewrite each scientific notation as a regular number.

a. 9.7 × 104

b. 7 × 105

c. 8.97 × 107

d. 3.2 × 1010


Find each of the following square roots. (Hint: All examples are perfect squares.)

a. √16

b. √169

c. √64

d. √400


ANSWER:
1.If you substitute the number 2 for x in the problem, you’ll make it true.

a.6x + 8x = 10x

b.62 + 82 = 102

c.36 + 64 = 100

d. 100 = 100

2. Insert two radical signs into the problem like this to make it true:

5 = 5 √4 + √4 + 4⁄4

5 = 2 + 2 + 1

5 = 5

3. a. 42 = 4 × 4 = 16

b. 62 = 6 × 6 = 36

c. 132 = 13 × 13 = 169

d. 102 = 10 × 10 = 100

4. a. 13 = 1 × 1 × 1 = 1

b. 23 = 2 × 2 × 2 = 8

c. 43 = 4 × 4 × 4 = 64

d. 83 = 8 × 8 × 8 = 512

5. a. 2 × 2

b. 8 × 8 × 8 × 8

c. 12 × 12 × 12

d. 20 × 20 × 20 × 20 × 20

6. a. 52

b. 74

c. 23

d. 95

7. a. 33 = 3 × 3 × 3 = 27

b. 142 = 14 × 14 = 196

c. 125 = 12 × 12 × 12 × 12 × 12 = 248,832

d. 90 = 1 (Any number to the zero power equals 1.)

e. 44 = 4 × 4 × 4 × 4 = 256

f. 171 = 17 (Any number to the first power equals itself.)

8. a. 7.6 × 103

(103 = 1,000 and 7.6 × 1,000 = 7,600)

b. 2.34 × 104

(104 = 10,000 and 2.34 × 10,000 = 23,400)

c. 1.67 × 105

(105 = 100,000 and 1.67 × 100,000 = 167,000)

d. 2 × 109

(109 = 1,000,000,000 and 2 × 1,000,000,000 = 2,000,000,000)

9. a. 97,000

(9.7 × 10 × 10 × 10 × 10 = 97,000)

b. 700,000

(7 × 10 × 10 × 10 × 10 × 10 = 700,000)

c. 89,700,000

(8.97 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 89,700,000)

d. 32,000,000,000

(3.2 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 32,000,000,000)

10. a. 4 (4 × 4 = 16)

b. 13 (13 × 13 = 169)

c. 8 (8 × 8 = 64)

d. 20 (20 × 20 = 400)

Answers

Answer:

If you substitute the number 2 for x in the problem, you’ll make it true.

6x + 8x = 10x

62 + 82 = 102

36 + 64 = 100

100 = 100

Insert two radical signs into the problem like this to make it true:

5 = 5 √4 + √4 + 4⁄4

5 = 2 + 2 + 1

5 = 5

a. 42 = 4 × 4 = 16

b. 62 = 6 × 6 = 36

c. 132 = 13 × 13 = 169

d. 102 = 10 × 10 = 100

a. 13 = 1 × 1 × 1 = 1

b. 23 = 2 × 2 × 2 = 8

c. 43 = 4 × 4 × 4 = 64

d. 83 = 8 × 8 × 8 = 512

a. 2 × 2

b. 8 × 8 × 8 × 8

c. 12 × 12 × 12

d. 20 × 20 × 20 × 20 × 20

a. 52

b. 74

c. 23

d. 95

a. 33 = 3 × 3 × 3 = 27

b. 142 = 14 × 14 = 196

c. 125 = 12 × 12 × 12 × 12 × 12 = 248,832

d. 90 = 1 (Any number to the zero power equals 1.)

e. 44 = 4 × 4 × 4 × 4 = 256

f. 171 = 17 (Any number to the first power equals itself.)

a. 7.6 × 103

(103 = 1,000 and 7.6 × 1,000 = 7,600)

b. 2.34 × 104

(104 = 10,000 and 2.34 × 10,000 = 23,400)

c. 1.67 × 105

(105 = 100,000 and 1.67 × 100,000 = 167,000)

d. 2 × 109

(109 = 1,000,000,000 and 2 × 1,000,000,000 = 2,000,000,000)

a. 97,000

(9.7 × 10 × 10 × 10 × 10 = 97,000)

b. 700,000

(7 × 10 × 10 × 10 × 10 × 10 = 700,000)

c. 89,700,000

(8.97 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 89,700,000)

d. 32,000,000,000

(3.2 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 32,000,000,000)

a. 4 (4 × 4 = 16)

b. 13 (13 × 13 = 169)

c. 8 (8 × 8 = 64)

d. 20 (20 × 20 = 400)

Step-by-step explanation:

pf

Answer:

1. If you substitute the number 2 for x in the problem, you’ll make it true.

6x + 8x = 10x

62 + 82 = 102

36 + 64 = 100

100 = 100

2. Insert two radical signs into the problem like this to make it true:

5 = 5 √4 + √4 + 4⁄4

5 = 2 + 2 + 1

5 = 5

3. a. 42 = 4 × 4 = 16

b. 62 = 6 × 6 = 36

c. 132 = 13 × 13 = 169

d. 102 = 10 × 10 = 100

4. a. 13 = 1 × 1 × 1 = 1

b. 23 = 2 × 2 × 2 = 8

c. 43 = 4 × 4 × 4 = 64

d. 83 = 8 × 8 × 8 = 512

5. a. 2 × 2

b. 8 × 8 × 8 × 8

c. 12 × 12 × 12

d. 20 × 20 × 20 × 20 × 20

6. a. 52

b. 74

c. 23

d. 95

7. a. 33 = 3 × 3 × 3 = 27

b. 142 = 14 × 14 = 196

c. 125 = 12 × 12 × 12 × 12 × 12 = 248,832

d. 90 = 1 (Any number to the zero power equals 1.)

e. 44 = 4 × 4 × 4 × 4 = 256

f. 171 = 17 (Any number to the first power equals itself.)

8. a. 7.6 × 103

(103 = 1,000 and 7.6 × 1,000 = 7,600)

b. 2.34 × 104

(104 = 10,000 and 2.34 × 10,000 = 23,400)

c. 1.67 × 105

(105 = 100,000 and 1.67 × 100,000 = 167,000)

d. 2 × 109

(109 = 1,000,000,000 and 2 × 1,000,000,000 = 2,000,000,000)

9. a. 97,000

(9.7 × 10 × 10 × 10 × 10 = 97,000)

b. 700,000

(7 × 10 × 10 × 10 × 10 × 10 = 700,000)

c. 89,700,000

(8.97 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 89,700,000)

d. 32,000,000,000

(3.2 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 32,000,000,000)

10. a. 4 (4 × 4 = 16)

b. 13 (13 × 13 = 169)

c. 8 (8 × 8 = 64)

d. 20 (20 × 20 = 400)

Step-by-step explanation:

Write the fraction as a decimal and percent (two answers)
144/200 of the tickets

Answers

Answer:

Answers: 0.72 and 72%.

Step-by-step explanation:

144/200 and 72/100 and 36/50 and 18/25 are equivalent to 72%.

Sarah lives in Ruthin and works in Oswestry for 5 days a week. each day she travel to and from work. Work how many miles does she commute a week​

Answers

Answer: 330 miles

Step-by-step explanation:

The distance provided for the question is:

Wrexham

18 Ruthin

21 12 Cornwen

15 33 23 Oswestry

What this means is that Ruthin and Oswestry are 33 miles apart.

Each day, Jane travels back and forth for a total of:

= 33 * 2

= 66 miles

In 5 days she would have travelled:

= 5 * 66

= 330 miles

Can you guys help me answer this? It's kinda urgent

Answers

B, D, E they all equal 40/9

I need help with this math problem please help.

Answers

Answer:

A

Step-by-step explanation:

since the shaded area is before x=-3 and x=-3 is a dashed line, x<-3 is the answer for x. That knocks out half the answers. the slope intercept form for the other line is y=-x-1. The answer with the slope as y would be the answer for the second half. A has both answers correct. (sorry for bad explaination, I am not a native speaker)

Suppose that you and your friends attend a basketball game. You buy a block of 8 tickets for $192. You want to know the price per ticket. That price can be expressed as a unit rate. What is that rate?

Answers

Answer:

$38.40

Step-by-step explanation:

you have to divide 192 by 8.

Which solution value satisfies the inequality x + 10 > 12?
Question 1 options:

A)

x = 3

B)

x = –1

C)

x = 0

D)

x = 2

Answers

Answer:

A) x=3

Step-by-step explanation:

As for B, C, and D,

if x=-1, 9>12 is not true,

if x=0, 10>12 is not true

if x=2, 12>12 is not true

Two sides of a right triangle measure 2 units and 4
units.

What is the area of the square that shares a side with the third side of the triangle?
units^2
2
squared

Answers

Hey there!

The answer is √20 or approximately 4.47

We can use the Pythagoreon Theorem, which is [tex]a^2 +b^2=c^2[/tex]. [tex]a[/tex] and [tex]b[/tex] are the names of the two sides, and [tex]c[/tex] is the name of the hypotenuse leg, or the longest side. We will plug the numbers into the formula, and solve:

[tex]2^2+4^2=c^2\\4+16=c^2\\20=c^2\\4.47...=c[/tex]

Have a terrifcly amazing day!

Jen sells flowers. She charges $2 per flower plug a $3 flat delivery fee. How many flowers did she deliver if she made $21?

Answers

Answer:

4 1/2 flowers

Step-by-step explanation:

2 + 3 = 5 and 4 x 5 = 20 and plus half a flower.

Please Help! I need to turn this in today!

Answers

Answer:

45

Step-by-step explanation:

The answer would be 45

100 points!!! Show your work on paper

Answers

Answer:

10 cm, 15 cm

Step-by-step explanation:

Set ratios and solve for x

Corresponding sides are AC with A'C' and CB with C'B'

AC/A'C' = CB/C'B'(x - 1)/2 = (x + 4)/33(x - 1) = 2(x + 4)3x - 3 = 2x + 83x - 2x = 8 + 3x = 11

Find the values of AC and CB:

AC = x - 1 = 11 - 1 = 10 cmCB = x + 4 = 11 + 4 = 15 cm

Answer:

AC=10cm

BC=15cm is your answer

solve and receive brainlist​

Answers

Answer:

x = 4

Step-by-step explanation:

2x + 1 = 9

2x = 9 - 1

2x = 8

x = 4

Answer:

x=4

Step-by-step explanation:

9-1=8

8/2=4

The area of a rectangle is 24 inches squared. The BASE is 6 in. What is the HEIGHT? *
pls fast

Answers

Answer:

4

Step-by-step explanation:

6*4=24

Base=6

Total=24

24/6=4         Height=4

*if iḿ wrong plz tell me

Write an equation in slope-intercept form that describes the relationship between the number of minutes, x, and the amount charged, y.​

Answers

Answer:

y = 1/20x + 6

Step-by-step explanation:

The number of minutes is your x-value. The amount charged is your y-value.

Let's convert the numbers in the table into coordinates.

(30, 7.5)

(120, 12)

(220, 17)

Now, we will take two points and use the slope formula to plug into the slope-intercept equation: y = mx + b

I chose the first and last points given. All three points do not lie on the same line, but using the first and last point should be closer to the line of best fit.

(30, 7.5) & (220, 17)

m = (y₂ - y₁) / (x₂ - x₁)

m = (17 - 7.5) / (220 - 30)

m = (9.5) / (190)

m = 0.05 = 5/100 = 1/20

m = 1/20

Plug m into your equation.

y = 1/20x + b

To find b, plug in a point for x and y.

17 = 1/20(220) + b

17 = 11 + b

b = 6

Plug b into your equation.

y = 1/20x + 6

Hope this helps!

Which expression represents a number, p, added to the difference of 25 and 5?


A. 25-5+p
B. 25-5-p
C. 25+5-p

Answers

A, it correctly shows p added to 25-5.

Answer:

A.

Step-by-step explanation:

A box will be built with square base and an open top. Material for the base costs $8 square foot, while material for the side's costs $2 per square foot. Find the dimension of the box of maximum volume that can be built for $2400.​

Answers

All you have to do is add it could be so simple 8$ + $2 + $2400

The height and side of the box for the maximum volume are 20 feet and 10 feet respectively.

What is area?

Area is the amount of space occupied by a two-dimensional figure.

How to calculate the area of square?

The area of square is the product of the length of each side with itself.

[tex]A = a^{2}[/tex]

Where,

A is the area of square

a is the length of the side of square

What is volume?

Volume is the measure of the capacity that an object holds.

Formula for the volume of cuboid

volume = length × breadth × height

According to the given question

We have

A box with the open top and square base.

Let x be the side of the box. And h be the height of the box

Also, the cost of material for the base is $8 and for side is $2 per square foot.

The total cost of material for the box is $2400

⇒[tex]8x^{2} + 4(2xh) = 2400[/tex]

⇒ [tex]8x^{2} + 8xh = 2400\\[/tex]

⇒[tex]x^{2} + xh = 300[/tex]

⇒ [tex]h = \frac{300-x^{2} }{x}[/tex]

Therefore,

volume of the box

[tex]= x^{2} h[/tex]

= [tex]x^{2} \frac{3000-x^{2} }{x}[/tex]

= [tex]x(300-x^{2} )[/tex]

= [tex]300x - x^{3}[/tex]

for the maximum volume,[tex]\frac{d}{dx}(v)=0[/tex]

⇒ [tex]300 - 3x^{2} =0[/tex]

⇒[tex]300 = 3x^{2}[/tex]

⇒ [tex]x^{2} =100[/tex]

⇒ x = ± 10

⇒ x= 10 feet  (x = -10 not possible)

So, h = [tex]\frac{300-100}{10} = 20feet[/tex]

Hence, the height and side of the box for the maximum volume are 20 feet and 10 feet respectively.

Learn more about volume here:

https://brainly.com/question/1578538

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Other Questions
If $2000 is invested at 4% per annum compounded semiannually, how much is in the account after 8 years? The insistent bass in the last movement of william grant stills suite for violin and piano resembles which jazz piano style? How did the double v campaign change some white people's perspective about african americans? What is it called when scientists explore the world around them?A Peer ReviewB Making observationsC Scientific disagreementD Forming a hypothesis 5. Which of the following personal protective equipment is selected based on achemical's IDLH value?O A. RespiratorO B. EyewearO C. Body suitO D. Gloves 6. Corinne has just gotten her first job and wants to apply for her first credit card. Based on what you have learned in this unit, what advice can you give Corinne? Your response should include the following information:-What Corinne should do before applying for the credit card-Which elements of the credit card agreement Corinne should focus on once her application is accepted-What Corinne should do in order to best manage her credit-The potential downsides of having a credit card The major factor leading to exhaustion during exercise is Brian is 8 and his brother is twice his age. How old will his brother be when brian is 11?. The specification limits are 49 /- 3. Assume that the data is normally distributed! estimate process capability ratios (cp, cpk, pp, ppk). Is the process capable? According to the guide, which housing is recommended preferentially for domesticated rodents? When two cars are approaching each other, they should turn their low beam headlights on when they get within __________________________ of each other. What are the solutions of the equation 9x4 - 2x2 - 7 = 0? Use u substitution to solve. what are the inputs and outputs of a sailboat? Firm valuation schultz industries is considering the purchase of arras manufacturing. arras is currently a supplier for schultz, and the acquisition would allow schultz to better control its material supply. the current cash flow from assets for arras is $8 million. the cash flows are expected to grow at 9 percent for the next five years before leveling off to 6 percent for the indefinite future. the cost of capital for schultz and arras is 13 percent and 11 percent, respectively. arras currently has 3 million shares of stock outstanding and $25 million in debt outstanding. what is the maximum price per share schultz should pay for arras? (do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) price per share $ Which of the following is an advantage of seniority pay systems? Paranormal pop culture journalist and producer aaron sagers picked some of his favorite specters, cryptids and interplanetary interlopers for his paranormal rock stars feature. Which of his descriptions here has the wrong name attached?. The cost of a flight is related to the distance traveled:Miles 225 1,100 1,375 1,675 1,950 2,250Cost ($) 50.3 111 143 187 214 196Find the linear regression equation that models this data. If AH=13mm, A F=15mm, and FC=37mm, what would be the distance between A and D? Round your answer to two decimal places if necessary. A power supply is connected to a 59 Ohm resistor and a 53 Ohm resistor in series. The total current is found to be 0.15 A. What is the voltage drop across the 53 Ohm resistor? Round your answer to 2 decimal places.Answer: Question 11 of 20 below is an excerpt from the declaration of independence. which enlightenment idea is reflected in this writing? we hold these truths to be self-evident, that all men are created equal, that they are endowed by their creator with certain unalienable rights, that among these are life, liberty and the pursuit of happiness. - that to secure these rights, governments are instituted among men, deriving their just powers from the consent of the governed, - that whenever any form of government becomes destructive of these ends, it is the right of the people to alter or to abolish it, and to institute new government, laying its foundation on such principles and organizing its powers in such form, as to them shall seem most likely to effect their safety and happiness. o a. people are naturally evil and need to be controlled by strong leaders o b. governments should be overthrown if they violate people's natural rights o c. a government works best when political power is divided between leaders d. the laws in a country must be obeyed by all citizens, incuding political leaders