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Anvisha [2.4K]
2 years ago
12

Compare the graph of g(x)=−3x2 to the graph of f(x)=x2

Mathematics
1 answer:
aev [14]2 years ago
3 0

Answer:

There was a reflection about the x-axis and a vertical stretch.

Step-by-step explanation:

This is a hyperbola.

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In the following figure, the square ABCD is inscribed in the circle centered at point P. What is the area of the circle?
Ainat [17]

Answer:

A_{Circle} \approx 39.24\: units^2

Step-by-step explanation:

Square ABCD is inscribed in a circle with center P such that BC = 5 units.

BD will be diagonal of the square as well as diameter of the circle.

BD = BC\times\sqrt 2

\implies BD = 5\sqrt 2

-> Diameter of the circle (d) = 5\sqrt 2

-> Radius of the circle (r) = 2.5\sqrt 2=3.535\: units

A_{Circle} =\pi(r)^2

\implies A_{Circle} =3.14(3.535)^2

\implies A_{Circle} =3.14(3.535)^2

\implies A_{Circle} =39.2381465

\implies A_{Circle} \approx 39.24\: units^2

8 0
2 years ago
How do you work out 9 + (-4) - 6 ? please make it detailed
vitfil [10]
<span>9 + (-4) - 6

<em>[open the bracket,  +(-) = - ]</em>
</span>= 9 - 4 - 6

<em>[Both operations required are -, work from left to right]</em>
= 5 - 6
= - 1
6 0
3 years ago
4(4x-2) + 1 =16x - 7. Solutions
Talja [164]

Answer:

4(4x - 2) + 1 = 16x - 7

16x - 8 + 1 = 16x - 7

16x - 7 = 16x - 7

-7 = -7

0 = 0

6 0
3 years ago
The head of the Westlane Cultural Center wants to get a sense of how quickly pledges from donors arrive at the center. It takes
Rzqust [24]

Answer:

95.64% probability that pledges are received within 40 days

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 28, \sigma = 7

What is the probability that pledges are received within 40 days

This is the pvalue of Z when X = 40. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{40 - 28}{7}

Z = 1.71

Z = 1.71 has a pvalue of 0.9564

95.64% probability that pledges are received within 40 days

7 0
3 years ago
Mr. Kovich is preparing materials for a craft project. He needs to cut 2 meters of string into pieces that are 0.2 meters long.
kondor19780726 [428]

Answer:

10 pieces

Step-by-step explanation:

2 divided by 0.2

20 divided by 2

10 pieces

8 0
3 years ago
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