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AleksandrR [38]
3 years ago
9

Pls help due ASAP.... Pls show workings.

Mathematics
1 answer:
Ann [662]3 years ago
8 0

Answer:

We can conclude that the distance from Sandy's Hotel to Trader Joes' Store is:

  • d = 8.06 miles

Step-by-step explanation:

From the coordinate plane, we can clearly identify that:

  • Sandy's Hotel is located at the point (-8, 9)
  • Trader Joes' Store is located at the point (-4, 2)

The distance from Sandy's Hotel to Trader Joes' Store can be calculated such as:

d=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}

The distance between (-8, 9) and (-4, 2)

d=\sqrt{\left(-4-\left(-8\right)\right)^2+\left(2-9\right)^2}

  =\sqrt{\left(-4+8\right)^2+\left(2-9\right)^2}

  =\sqrt{4^2+7^2}  

   =\sqrt{16+49}

    =\sqrt{65}

    =8.06 miles

Therefore, we can conclude that the distance from Sandy's Hotel to Trader Joes' Store is:

  • d = 8.06 miles
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Step-by-step explanation:

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the population of arizona is estimated go increase by 6.2% every year. if the population was 4.18 million in 2016 estimate popul
aleksklad [387]

Given:

a.) The population of Arizona is estimated to increase by 6.2% every year.

b.) The population was 4.18 million in 2016.

For us to be able to determine the population in 2022, we will be using the following formula:

\text{ P = P}_0e^{rt}

Where,

P = Total population after time (t)

P₀ = Starting population = 4.18 million

r = Growth rate (in decimal form) = 6.2%/100 = 0.062

t = time (in years) = 2022 - 2016 = 6 years

e = Euler's number = 2.71828182845

We get,

\text{ P = P}_0e^{rt}\text{ = (4,180,000)(}2.71828182845)^{0.062(6)}\text{ P = 6,063,645.861797897 }\approx\text{ 6,063,646}

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7 0
1 year ago
The circumference of a sphere was measured to be 82 cm with a possible error of 0.5 cm.
Nat2105 [25]

Answer:

A) Maximum error = 170.32 cm³

B)Relative error = 0.0575

Step-by-step explanation:

A) Formula for circumference is: C = 2πr

Differentiating with respect to r, we have;

dC/dr = 2π

r is small, so we can write;

ΔC/Δr = 2π

So, Δr = ΔC/2π

We are told that ΔC = 0.5.

Thus; Δr = 0.5/2π = 0.25/π

Now, formula for Volume of a sphere is;

V(r) = (4/3)πr³

Differentiating with respect to r, we have;

dV/dr = 4πr²

Again, r is small, so we can write;

ΔS/Δr = 4πr²

ΔV = 4πr² × Δr

Rewriting, we have;

ΔV = ((2πr)²/π) × Δr

Since C = 2πr, we now have;

ΔV = (C²/π)Δr

ΔV will be maximum when Δr is maximum

Thus, ΔV = (C²/π) × 0.25/π

C = 82 cm

Thus;

ΔV = (82²/π) × 0.25/π

ΔV = 170.32 cm³

B) Formula for relative error = ΔV/V

Relative error = 170.32/((4/3)πr³)

Relative error = 170.32/((4/3)C³/8π³)

Relative errror = 170.32/((4/3)82³/8π³)

Relative error = 170.32/2963.744

Relative error = 0.0575

3 0
3 years ago
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