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3 years ago

Does the point (9.5, 144) make sense in this context? Explain

Mathematics

2 answers:

Flura [38]3 years ago

7 0

Answer:

No it doesn't

Step-by-step explanation:

You have a table that relates the number of packets of flavoring with the ounces of water needed to make soup.

The rate of ounces of water needed for each packet of flavour is a constant and can be computed as follows:

24/2 = 60/5 = 84/7 = 120/10 = 144/12 = 12

The point (9.5, 144) where 9.5 refers to number of packets of flavoring and 144 to ounces of water,doesn't make sense because doesn't satisfied the previous ratio.

144/9.5 ≈ 15.16

Stolb23 [73]3 years ago

6 0

No, (9.5, 144) does not make sense because there is no point of 9.5 and when you divide the ounces of water by the flavoring packets you end up with 12, and if you were to simplify that it would end up with 1 flavor packet and 12 ounces of water.

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What is the distance to the earth’s horizon from point P? Express your answer as a decimal

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Answer:

The distance to the earth's horizon from point P is 216.2198187 mi, appriximately 216.22 mi

Step-by-step explanation:

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Hypotenuse: c=3959 mi + 5.9 mi → c=3964.9 mi

Leg 1: a=x=?

Leg 2: b=3959 mi

Using the Pytagorean theorem:

a^2+b^2=c^2

Replacing the known values:

(x)^2+(3959 mi)^2=(3964.9 mi)^2

Solving for x: Squaring:

x^2+15,673,681 mi^2=15,720,432.01 mi^2

Subtracting 15,673,681 mi^2 both sides of the equation:

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3 years ago

In rhombus MNPQ, diagonals MP and NQ intersect at point K. If m_MQP = 56', then which of the

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Step-by-step explanation:

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Solve for x: √(32^0 + 2/3)=(0.6)^2-3x

malfutka [58]

Step-by-step explanation:

Given: √{32⁰ + (2/3)} = (0.6)²⁻³ˣ

Asked: Find the value of x = ?

Solution: Given that √{32⁰ + (2/3)} = (0.6)²⁻³ˣ

⇛√{1 + (2/3)} = (0.6)²⁻³ˣ

⇛√{(1/1) + (2/3) = (0.6)²⁻³ˣ

⇛√{(1*3 + 2*1)/3} = (0.6)²⁻³ˣ

⇛√{(3 + 2)/3} = (0.6)²⁻³ˣ

⇛√(5/3) = (0.6)²⁻³ˣ

Squaring on both sides then

⇛{√(5/3)}² = {(0.6)²⁻³ˣ}²

⇛√(5²/3²) = {0.6}(²⁻³ˣ)²

⇛√{(5*5)/(3*3)} = {0.6}(²⁻³ˣ)²

⇛5/3 = {0.6}(²⁻³ˣ)²

[ $\mathsf{\because}$ (aᵐ)ⁿ = aᵐⁿ]

⇛5/3 = (0.6)²*²⁻³ˣ*²

⇛5/3 = (0.6)⁴⁻⁶ˣ

⇛5/3 = (6/10)⁴⁻⁶ˣ

⇛5/3 = {(6÷2)/(10÷2)})⁴⁻⁶ˣ

⇛5/3 = (3/5)⁴⁻⁶ˣ

⇛(3/5))⁻¹ = (3/5)⁴⁻⁶ˣ

[ $\mathsf{\because}$ a⁻ⁿ = 1/aⁿ]

Base are the same, so the exponents must be equal.

$\mathsf{\therefore}$ -1 = 4 - 6x

Shift the number 4 from RHS to LHS, changing it's sign.

⇛-1 - 4 = -6x

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⇛x = {(-5)/(-6)}

$\mathsf{\therefore}$ x = 5/6

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