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Jet001 [13]
3 years ago
15

)The elevation of city A is 60 feet above sea level; the elevation of city C is 12 feet above 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)
Mathematics
2 answers:
Brrunno [24]3 years ago
5 0
Therefore the election of city D is 6ft above the sea level.
Sphinxa [80]3 years ago
4 0
<span>Elevation of city D is half the elevation of city C, It is given that the evelation of city C is 12 feet above the sea level level. Hence elevation of city D=12/2=6feet above the sea level. This is the answer to part A The elevation of city D=x/2, where x is the elevation of city C in feet. For part B write, here x=12 hence x/2=6 Therefore the elevation of city D is 6feet above the sea level.
If you don't understand plz contact me or message me
If you do plz brainlest me

</span>
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Please Help! 20 Points!
iVinArrow [24]
\text {x - coordinate = }  \bigg( 5\dfrac{1}{2}  +  3\dfrac{3}{4} \bigg) \div 2

\text {x - coordinate = }  \bigg( 5\dfrac{2}{4}  +  3\dfrac{3}{4} \bigg) \div 2

\text {x - coordinate = } 8\dfrac{5}{4}   \div 2

\text {x - coordinate = }\dfrac{37}{4}   \times  \dfrac{1}{2}

\text {x - coordinate = }\dfrac{37}{8}

\text {x - coordinate = } 4\dfrac{5}{8}



\text {y - coordinate = } \bigg( -4\dfrac{1}{4} - 1\dfrac{1}{4} \bigg) \div 2

\text {y - coordinate = } -5\dfrac{2}{4} \div 2

\text {y - coordinate = } -\dfrac{22}{4} \times  \dfrac{1}{2}

\text {y - coordinate = } -\dfrac{11}{4}}

\text {y - coordinate = } -2\dfrac{3}{4}}



\text {The coordinate is }\bigg( 4\dfrac{5}{8}, -2\dfrac{3}{4}} \bigg)

6 0
3 years ago
The sum of two rational numbers is what
ludmilkaskok [199]

Answer:

Is rational

Step-by-step explanation:

So, adding two rationals is the same as adding two such fractions, which will result in another fraction of this same form since integers are closed under addition and multiplication. Thus, adding two rational numbers produces another rational number.

7 0
2 years ago
If f(x) = 4x + 12 is graphed on a coordinate plane, what is the y-intercept of the graph?
Ierofanga [76]

Answer:

it's -4 I just took the test and you will get it write

6 0
3 years ago
A cable television compan is laying cable in an area with underground utilities. Two subdivisions are located on opposite sides
Schach [20]

Answer:

Step-by-step explanation:

Given:

Point Q = Q is on the north bank 1200 m east of P $40/m to lay cable underground and $80/m way to lay the cable.

Lets denote T be a point on north bank, therefore, point T is t m east and 100m north of P.

Note that 0 < t < 1200

Distance from P to T using Pythagoras theorem:

PT^2 = PQ^2 + QT^2

PT = √(t²+100²) = √(t²+10,000)

Distance from T to Q:

TQ = 1200 - t

From above, Cable from P to T is underwater, and costs $80/m to lay.

Cable from T to Q is underground, and costs $40/m to lay.

Total cost of the cable:

C(t) = 80√(t²+10,000) + 40(1200 - t)

Cost is at its minimum: when dC/dt = C'(t) = 0 and d^2C/dt^2 = C''(t) > 0

dC/dt = C'(t)

= 80 * 1/2 (t² + 10,000)^(-1/2) × 2t + 40 × (-1)

dC/dt = C'(t)

= 80t/√(t² + 10,000) - 40 = 0

80t/√(t² + 10,000) = 40

80t = 40√(t² + 10,000)

2t = √(t² + 10,000)

square both sides:

4t² = t² + 10,000

3t² = 10,000

t² = 10,000/3

t = 100/√3

≈ 57.735

d^2C/dt^2 =

C''(t) = [80√(t² + 10,000) - 80t × t/√(t²+10,000)] /√(t²+10,000)

C''(t) = [(80(t²+10,000) - 80t²) / √(t²+10,000)] /√(t²+10,000)

C''(t) = 800,000 / (t² + 10,000)^(3/2)

C''(t) > 0 for all t

Therefore C(t) is minimized at t = 100/√3

C(100/√3) = 80√(10,000/3 + 10,000) + 40 × (1200 - 100/√3)

= 80 √(40,000/3) + 48,000 - 4000/√3

= 16000/√3 + 48,000 - 4000/√3

= 48,000 + 12,000/√3

= 48,000 + 4,000√3

= 4000 (12 + √3)

≈ 54,928.20

Minimum cost is $54,928.20

This occurs when cable is laid underwater from point P to point T(57.735 m east and 100m north of P) and then underground from point T to point Q (1200 - 57.735)

= 1142.265 m

5 0
3 years ago
You put $200 into an account earning 6% interest compounded yearly.
VMariaS [17]

Answer:

43.35 years

Step-by-step explanation:

From the above question, we are to find Time t for compound interest

The formula is given as :

t = ln(A/P) / n[ln(1 + r/n)]

A = $2500

P = Principal = $200

R = 6%

n = Compounding frequency = 1

First, convert R as a percent to r as a decimal

r = R/100

r = 6/100

r = 0.06 per year,

Then, solve the equation for t

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(2,500.00/200.00) / ( 1 × [ln(1 + 0.06/1)] )

t = ln(2,500.00/200.00) / ( 1 × [ln(1 + 0.06)] )

t = 43.346 years

Approximately = 43.35 years

7 0
2 years ago
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