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7 days ago

A power failure on the bridge of a Great Lakes freighter has resulted in the ship's navigator having to do her own calculations.

She measures the angle between the ship's course and a lighthouse on shore as 32°. After the ship has travelled 1500 m, she measures the angle to be 72°. Determine if the ship was closer to or farther from the lighthouse at the second sighting, and by what distance. (4 marks)
It is impossible to measure the length of a particular swamp directly. Kendra put a stake in the ground and measured from the stake to opposite ends of the swamp, the results being 410 m and 805 m. She measured the angle between the distances to be 57°. What is the length of the swamp? (4 marks)

Mathematics

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Pia uses 6 cups of sugar to make 8 pies. At that rate, how much sugar will it take to make 12 pies?

zzz [12365]

Answer: 9 cups

Step-by-step explanation: If 6 cups make 8 pies, then 3 cups will yield 4 pies. Hence, 9 cups would suffice for 12 pies

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2 months ago

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An instructor at a major research university occasionally teaches summer session and notices that that there are often students

zzz [12365]

We aim to verify the assertion that generally, 10% of students repeat a course, leading us to this hypothesis setup: Null hypothesis: Alternative hypothesis. The most fitting choice for this scenario is: d) H0:p=0.1 vs. H1:p ≠ 0.1. For this case, the provided information includes: the number of students repeating the course, the selected sample size, and the estimated proportion of repeaters. We are testing the claim that generally, 10% of students retake classes, which will be validated through established hypotheses.

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1 month ago

Which is the solution of the quadratic equation (4y – 3)2 = 72? y = StartFraction 3 + 6 StartRoot 2 EndRoot Over 4 EndFraction a

Inessa [12570]

Answer:

$y = \frac{3 + 6\sqrt{2} }{4}$ y $y = \frac{3 - 6\sqrt{2} }{4}$

y = StartFraction 3 + 6 StartRoot 2 EndRoot Over 4 EndFraction y = StartFraction 3 menos 6 StartRoot 2 EndRoot Over 4 EndFraction

Explicación paso a paso:

La ecuación cuadrática que tenemos es (4y - 3)² = 72

Debemos encontrar el valor de y.

Ahora, 4y - 3 = ± 6√2

⇒ 4y = 3 ± 6√2

⇒ $y = \frac{3 + 6\sqrt{2} }{4}$ y $y = \frac{3 - 6\sqrt{2} }{4}$

Por lo tanto, las soluciones son y = StartFraction 3 + 6 StartRoot 2 EndRoot Over 4 EndFraction y y = StartFraction 3 menos 6 StartRoot 2 EndRoot Over 4 EndFraction (Respuesta)

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3 months ago

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Question 10 Multiple Choice Worth 1 points)

lawyer [12517]

Answer:

The increase is linear since the data indicates that sunflowers grew by a consistent amount each month.

Step-by-step explanation:

Referring to the table

$\begin{array}{lcccc}\text{Month}&1&2&3&4\\ \\\text{Sunflowers}&15&17.2&19.4&21.6\end{array}$

Observe that the months progress incrementally (21-1, 3-2=1, 4-3=1).

Moreover

$17.2-15=2.2\ [\text{from month 1 to month 2}]\\ \\19.4-17.2=2.2\ [\text{from month 2 to month 3}]\\ \\21.6-19.4=2.2\ [\text{from month 3 to month 4}]$

This indicates a linear increase in sunflower count, as the data shows a consistent monthly rise.

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2 months ago

What is the domain of the function graphed below?

zzz [12365]

The function is applicable within the segments of x:
(-∞, -1) and [-1, 7), meaning it is valid for x < 7.

Importantly,
the function cannot be evaluated at x = -1 in the left part of the linear graph, while it is valid at x = -1 in the right segment of the same line. Additionally, the function is not defined at x = 7 or any value above it.

Conclusion: x < 7.

5 0

2 months ago

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