(01.04 MC)The elevation of city A is 80 feet below sea level; the elevation of city C is 16 feet below sea level. The elevation of city D is 1 over 2 of the elevation of city C. Part A: Write an expression to represent the elevation, in feet, of city D. (5 points) Part B: Solve the expression and explain why the answer is negative or positive. (5 points)

Answers

Answer 1

A) The expression to represent the elevation in feet of city D is; ¹/₂ × (-16) ft

B) The solution to the expression of the elevation of City D is; -8 fr which is negative because it falls below sea level.

First of all, sea level is at 0 ft.

Thus;

If city A has an elevation of 80 ft below sea level, then;

Elevation of city A = -80 ft

The elevation of city C is 16 feet below sea level. Thus;

Elevation of city C = -16 ft

A) The elevation of city D is ¹/₂ of the elevation of city C. Thus;

Expression for Elevation of city D = ¹/₂ × (-16)

B) Solving the expression for elevation of city D gives;

Elevation of City D = -8 ft

The reason why the answer is negative is because any distance below sea level is considered to be negative and city C which is twice the elevation of city D is negative, and so city D must also have a negative elevation.

Read more about below sea level elevations at; https://brainly.com/question/14837848

Answer 2

Answer:

A) The expression to represent the elevation in feet of city D is; ¹/₂ × (-16) ftB) The solution to the expression of the elevation of City D is; -8 fr which is negative because it falls below sea level.First of all, sea level is at 0 ft.Thus;If city A has an elevation of 80 ft below sea level, then;Elevation of city A = -80 ftThe elevation of city C is 16 feet below sea level. Thus;Elevation of city C = -16 ftA) The elevation of city D is ¹/₂ of the elevation of city C. Thus;Expression for Elevation of city D = ¹/₂ × (-16)B) Solving the expression for elevation of city D gives;Elevation of City D = -8 ftThe reason why the answer is negative is because any distance below sea level is considered to be negative and city C which is twice the elevation of city D is negative, and so city D must also have a negative elevation.


Related Questions

A television is advertised as having a 65-inch measurement. Brenan measures the width of the television while at the store and finds that it is 57 inches wide.


If the space where Brenan plans to hang the television is 32 inches high, will he have enough vertical space to hang the 65-inch television?

Answers

Answer: the answer would be C

Yes, the television is approximately 8 inches shorter than the space.

Step-by-step explanation: My name is Ebenezer Haile

In order to meet ADA (Americans with Disabilities Act) requirements, a wheelchair ramp must have an angle of elevation of no more than 4.8. . A builder needs to install a ramp to reach a door that is 2.5 feet off the ground.Is 20 feet long enough for the straight line distance of the ramp to meet the requirements? What angle of elevation will this ramp have?

Answers

Answer:

Yes, 35 feet is enough

The angle of elevation is 4.1º

To prepare for a wedding, Aiden bught 60 candles. He paid $0.37 for each candle. His sister bought 170 candles at a sale where she paid $0.05 less for each candle than Aiden did. How much did Aiden spend on candles, how much did his sister spend on candles, and who spent more on candles (how much more when you answer this question).

Answers

Answer:

Aiden spent $22.20. His sister spent $54.40. His sister spent $32.20 more than Aiden.

Step-by-step explanation:

CAN SOMEONE TELL ME IF I CLICKED THE RIGHT AWNSER PLEASE

Answers

Answer:

yes your absolutely right

Step-by-step explanation:

you just are

I NEED HELP WITH PRECALC PLEASE

Answers

Answer: First question: D, Second question: A

Step-by-step explanation:

Note: I'm not so good at expanding so I'll just solve it :)

So this leaves either C or D

Apply the sum rule:

8-70=-62

The only one that gives a negative sum is D

For the second picture, the one you have chosen is correct

a1 = 3 and r = -5 so:

an = 3/5 * (-5)^n

Plugging in 8 for n (the first choice) we get the given term: -234,375

Answer:

(d)  2 +(-5) +(-12) +... (a)  a8

Step-by-step explanation:

1.

Putting n = 0 and n = 1 into the expression being summed will show you which series is correct.

  2 -7n for n=0 is 2 -7·0 = 2

  2 -7n for n=1 is 2 -7·1 = -5

The series of the last choice (d) is correct.

__

2.

The given sequence is exponential with a first term of 3 and a common ratio if -5. Then the n-th term is ...

  an = 3(-5)^(n -1)

We want to find n for an = -234,375.

  -234375 = 3(-5)^(n-1)

  -78125 = (-5)^(n-1)

For n to be a real number, we must have n even. In that case, the value of n is equivalent to the value that is the solution to ...

  78125 = 5^(n -1)

Taking logs of both sides, we get ...

  log(78125) = (n -1)·log(5)

  log(78125)/log(5) = n -1 . . . . . . . . . . . . divide by log(5)

  n = 1 +log(78125)/log(5) = 1 +7 = 8 . . . add 1 and evaluate

-234,375 is the 8th term of the sequence.

joey’s town voted on a new speed limit . 40 % of the 25 votes were in favor of the new speed limit . How many votes were in favor ?

Answers

Step-by-step explanation:

I don't know the answer really

[tex]\sf 3x+6y=12[/tex]​

Answers

Answer:

[tex]3x + 6y = 12[/tex]

[tex]3x + 6y - 6y = 12 - 6y[/tex]

[tex]3x = 12 - 6y[/tex]

[tex] \frac{3x}{3} = \frac{12}{3} - \frac{6y}{3} [/tex]

[tex] \frac{3x}{3} = 1 = x[/tex]

[tex] \frac{12}{3} - \frac{6y}{3} [/tex]

[tex] = \frac{12 - 6y}{3} [/tex]

[tex] = \frac{6(2 - y)}{3} [/tex]

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

[tex] = 2( - y + 2)[/tex]

[tex]x = 2( - y + 2)[/tex]

Answer:

x=2(3-y)

Step-by-step explanation:

3x+6y=12

x+2y=4

x=4-2y

=2(2-y)

0.03249 in standard form to 3 significant figures is

(A) 3.24 × 10−1

(B) 3.24 × 10−2

(C) 3.25 × 10−2

(D) 3.25 × 10−3

Answers

I think the answer is d

Answer each part. If necessary, round your answers to the nearest hundredth. (a) A color printer prints 9 pages in 3 minutes. How many pages does it print per minute? | pages per minute (b) At Hoffman's Bike Rentals, it costs $37 to rent a bike for 7 hours. How many hours of bike use does a customer get per dollar? hours per dollar​

Answers

Answer:

Q1: 3 pages per minute

Step-by-step explanation:

time = 3 minutes

pages = 9 pages

answer = 9 divided by 3 = 3

Answer:

3 pages per minute

1 hour per $5.29

Step-by-step explanation:

9÷3= 3

37÷7= 5.29


please help w math…

Answers

Answer:

x= -3 and 0

Step-by-step explanation:

Where the function crosses the x axis, or y=0

The length of the opposite side of a right triangle is 2cm longer than the length of the adjacent side. The hypotenuse is 4cm longer than the adjacent side. Use a quadratic equation to determine the perimeter of the triangle.

PLEASE HELP

Answers

Answer:

Step-by-step explanation:

Let x be the adjacent side length in cm

opposite side is x + 2 cm

hypotenuse is x + 4 cm

x² + (x + 2)² = (x + 4)²

x² + (x² + 4x + 4) = (x² + 8x + 16)

x² - 4x - 12 = 0

(x - 6)(x + 2) = 0

so either

x - 6 = 0    x = 6

or

x + 2 = 0    x = -2

positive answer is x = 6 as negative length does not make sense

opposite side is 6 + 2 = 8

hypotenuse is 6 + 4 = 10

perimeter is 6 + 8 + 10 = 24 cm

Judith is getting older and feels like she should donate her collection of stuffed animals to children who are less fortunate. She has 16 stuffed cats and 8 stuffed dogs, which she wants to divide into identical groups, with no stuffed animals left over. What is the greatest number of groups Judith can place her stuffed animals into?

Answers

Answer:iojoenckcnurmum

Step-by-step explanation:

Stuck on this, need help on this.

Answers

Answer:

Domain: (-∞ , ∞)

Range: y <= 8        [8 , -∞)

Step-by-step explanation:

x = 2

f(x) = 8

x<=2

f(x) <=8

y=(x^4)-(6^3)+(50x^2)+122x=65
find the zeros

Answers

Answer: I worked at the pizza place in Chucky cheese since i was little. I grew up and became manager. Then i sabotaged everyone there. I’m gonna cry right now . miss that job so much. I think I might….

PLZ HURRY IT'S URGENT!!!
What is the value of x? Leave answer in **simplest radical form.***



options:

4


4√3


8


8√3

Answers

4 sqrt 3 is your answer (b)

How do u solve this?

Answers

Answer:

first you need a problem to solve.

Step-by-step explanation:

what is the question here?

the sum of three terms in a GP is 14 and the sum of their squares is 84, find the terms

Answers

Answer:

The terms are 2, 4, and 8

Step-by-step explanation:

a+b+c=14

a^2+b^2+c^2=84

Plug in numbers.

3+6+5=14

3^2+6^2+5^2=70

This is too little, meaning the some of the terms have to be larger.

1+7+6=14

1^2+7^2+6^2=86

This is too much, meaning smaller terms are needed.

2+8+4=14

2^2+8^2+4^2=84

This is perfect.

Pls help!! What is the equation for the line in slope-intercept form​

Answers

Answer:

y = -4x + 9

Step-by-step explanation:

using any two points, in this case (0, 5) and (3, -7) you can find slope by using this formula: [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

plug in the x- and y- values of the two points above

[tex]m=\frac{-7-5}{3-0}=\frac{-12}{3}=-4[/tex]

y = -4x + b

use any point of the line and plug it into the equation above

5 = -4(0) + b

5 = -4 + b

5 + 4 = -4 + b +4

9 = b

the equation in full is y = -4x +9

What is equivalent to 56 − 7 + ( 26 − 4 ) ÷ 2

Answers

Answer:

60

Step-by-step explanation:

56-7+22÷2

56-7+11

67-7=60

hope it helps thanks

If 18 is subtracted from twice the square of an integer, the result is equal to nine times the integer. What is the value of the integer?

Answers

Answer:

6 or -1.5

Step-by-step explanation:

We can let this integer be x.

Therefore, according to the question we have:

[tex]2x^2-18=9x[/tex]

Subtracting 9x, we have a quadratic:

[tex]2x^2-9x-18=0[/tex]

Plugging into the quadratic equation:

[tex]\frac{9+\sqrt{81+144}}{4}, \frac{9-\sqrt{81+144}}{4},[/tex]

the square root of 81+144 is 15, so the answer is either 6 or -1.5

The area of the rectangular roof on a dollhouse is 756 square inches. The length of the roof is 108 inches. How many inches wide is the roof?

Answers

Answer:

7 inches

Step-by-step explanation:

756÷108=7

that's about it, but I just divided the area and length.

Help as soon as possible

Answers

fish A is 2 inches and fish B is 4 inches

can someone please tell me whether the answer is a, or b? or if it’s none of those. ty :)

Answers

The answer is b y=3x+1

Marisol has 5 times as many books as jerry. Jerry has 15 books. How many more books does marisol have

Answers

Answer:

5 times more books

Step-by-step explanation:

In total Marisol has 75 books.  She has 5 times as many books and Jerry has 15.  5*15=75

Does (3, -50) make the equation y = -8x true? ​

Answers

Hey there!

y = -8x

→ -50 = -8(3)

→ -8(3) = -50

→ -8(3) = -24

→ -24 ≠ -50

Yes and no but mainly no because -24 doesn’t equal -50 (the y-intercept)

Answer: NO

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

f(x)=x^2-12x+20
a. f(0) = ?
b. f(2) = ?
c. f(x) = 0,x = ?
d. f(x)= 9,x = ?

Answers

Answer:

c . f(x)=0,x=????????????

Why is cube root of 9 equal to 9 to the one third power question mark

Answers

Answer:

3

just because

Answer:

See below

Step-by-step explanation:

[tex]\sqrt[3]{9}=9^{\frac{1}{3}}[/tex]

[tex](\sqrt[3]{9})^3=(9^{\frac{1}{3}})^3[/tex]

[tex]9=9^{\frac{1}{3}*3[/tex]

[tex]9=9^\frac{3}{3}[/tex]

[tex]9=9^1[/tex]

[tex]9=9[/tex]

Remember that [tex](a^b)^c=a^{b*c}[/tex]

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Use the quadratic formula to solve the equation.

X^2 - 7x – 6 = 0

Answers

Step-by-step explanation:

[tex]x = \frac{ - b + - \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]

a=1.

b=-7

c=-6

x=

[tex] \frac{ - ( - 7) + \sqrt{ (- 7)^{2} - 4(1)( - 6)} }{2(1)} [/tex]

OR

[tex] \frac{ - ( - 7) - \sqrt{ (- 7) ^{2} - 4(1)( - 6)} }{2(1)} [/tex]

Therefore x= 7,772

OR

x=-0,772

b) How fast should a boy of 40kg mass run so that the kinetic energy becomes 800J? ​

Answers

Answer:

v = 6.32  m/s

Step-by-step explanation:

Given Data:

Mass = m = 40 kg

Kinetic Energy = KE = 800 J

Required:

Speed = v = ?

Formula:

[tex]\displaystyle KE = \frac{1}{2} mv^2[/tex]

Solution:

Rearrange the formula for speed

[tex]\displaystyle v =\sqrt{\frac{2KE}{m} } \\\\Put \ values\\\\v = \sqrt{\frac{2(800)}{40} } \\\\v = \sqrt{2(20) } \\\\v = \sqrt{40} \\\\\boxed{v = 6.32 \ m/s}\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Which statement is true about point Y?

Point Y is the center of the circle that passes through points D, F, and N.
Point Y is the center of the circle that passes through points M, N, and E.
Point Y is the center of the circle that passes through points L, M, and N.
Point Y is the center of the circle that passes through points D, E, and F.

Answers

Answer:

D, E and F

Step-by-step explanation:

Beause y is a point. It is a prime example physics.

Other Questions
How many volts would it take to push 1 amp through a resistance of 1 ohm? Please answer any of these Ill be grateful and Im marking brainliest Metallic blocks x,y, and z were placed in the graduates a, b, c. The initial volume of liquid in the equal sized graduates was 40 ml. Which block was placed in which graduate. What is the frequency of a wave with a wavelength of 15 m and a wavespeed of300 m/s? You invested $5,000 in a 10 year CD at the age of 12. The account pays 2.5% interest compounded continuously. How much money will you have after 10 years? (Round to the nearest cent.) Tina rolls a dice what is the probability that she rolls a 1 b3 c4 d 3 or 4 Choose the best response to the question below: how does digital and hybrid computers differ in portability list and define the types of soil I need help finding a good selling for a 71 Ford mustang hardtop coupe price This isn't really a school question but it's the only place I know we're I can ask questions so I'll give it a go Scientists put a sample of water into a sealed tank. Water can be a solid, liquid, or gas. At first, the water was a liquid. Then, the scientists transferred energy out of the substance, and the water changed phase. What happened to the movement of the water molecules?After the phase change, the water molecules moved . . . In Baroque art, the artists intend for the viewer to examine the _________ aspects instead of the _____________ aspects of their work. A. Intellectual; emotional b. Emotional; intellectual c. Intellectual; realistic d. Realistic; emotional Please select the best answer from the choices provided A B C D. SOMEONE HELP PLEASE AND FAST !! I WILL MARK BRAINLIEST. 7. Tu es fatigu?-Mais non,______!8. _______ Yolande est gnreuse?-Mais bien sr!9. _______-ils franais?-Oui, ils sont franais. 10. Est-ce quils habitent Paris?-Cest ______.Answer the following questions using full sentences. 12. Quelle heure est-il? (noon)14. _______? (Use the inversion method.)-Non, je ne parle pas anglais!15._______? (Use the intonation method.)-Oui, je suis fatigu!18. _______?-Il est huit heures. Solve using elimination 5x+7y=9 2x-3y=-37 Write a number using the following clues:a multiple of 6greater than 40, but less than 90 o dulce como ptalo de azcar,de labio en labiopasagracias,grandes a plena bocao susurrantes.Alguien sabe q se ignifica esto? Can you please help me I will give BRAINLIEST A raised flower bed is 40 feet long, 7 feet wide, and 1.2 feet deep. Find the area of the bed and the volume of soil it holds. What happened to most of the people who went west to mine for gold? A. They went back east to farm. B. They looked for other opportunities for success. C. They moved to Canada to find jobs. D. They got rich from gold mining. Maurice spent $12.00 of the $25.00 on a gift card. Which decimal represents the fraction the $25.00 Maurice spent?