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prisoha [69]
3 years ago
12

The graphs below are both quadratic functions. The equation of the red graph is

Mathematics
1 answer:
Natali5045456 [20]3 years ago
6 0

Answer:

D. g(x)=\frac{1}{5}x^2

Step-by-step explanation:

  • The equation of the red quadratic graph is f(x)=x^2.
  • This is the parent quadratic function or the base of the quadratic functions.
  • This red quadratic graph has been dilated by a certain scale factor  to obtain the blue graph. Recall that, when the scale factor is a fraction, such that 0\: the graph is stretched horizontally.
  • The dilated graph then becomes wider than the parent function.
  • From the given function equations, the possible value of k can only be k=\frac{1}{5}.
  • Therefore the blue graph has equation: g(x)=\frac{1}{5}x^2
  • The correct answer is D.
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Bob is building a wooden cabin. The cabin is 30 meters wide. He obtained a bunch of 17 meters long wooden beams for the roof of
qaws [65]
The roof will be in the shape of an isosceles triangle with a base length of 30 m and two sides that are 17 m. The two 17 m beams will have the same angle of elevation since they have to might in the middle.

So to find the angle of elevation, we can split the roof in half vertically to create a right triangle. The base will now be 15 m, and the hypotenuse will be 17. Now we can use a trigonometry function to solve for the angle. We know the hypotenuse and the side adjacent to the angle, so we can use cosine.

cos(\theta) =  \frac{adjacent}{hypotenuse}

cos(\theta)= \frac{15}{17}

cos^{-1}( \frac{15}{17})=\theta

\theta = 28.1^{\circ}

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3 0
3 years ago
One sample has Aa Aa One sample has n 10 scores and a variance of s2 20, and a second sample has n 15 scores and a variance of s
siniylev [52]

Answer:

option (a) It will be closer to 30 than to 20

Step-by-step explanation:

Data provided in the question:

For sample 1:

n₁ = 10

variance, s₁² = 20

For sample 2:

n₂ = 15

variance, s₂² = 30

Now,

The pooled variance is calculated using the formula,

S^{2}_{p} = \frac{(n_{1}-1)\times s^{2}_{1} +(n_{2}-1)\times s^{2}_{2}}{n_{1}+n_{2}-2}

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or

S^{2}_{p} = 26.0869

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the pooled variance will be closer to 30 than to 20

Therefore,

The correct answer is option (a) It will be closer to 30 than to 20

4 0
3 years ago
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arlik [135]
I don’t know if that 2 and 1/4 or 21/4 so I’ll do both.
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6 0
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dem82 [27]
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3 years ago
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Veseljchak [2.6K]

Answer:

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Step-by-step explanation:

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3 years ago
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