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3 years ago

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Mathematics

1 answer:

balandron [24]3 years ago

7 0

Answer:

$y = -\frac{1}{3}x + 3$

Step-by-step explanation:

2 = −⅓[3] + b

−1

$3 = b \\ \\ y = -\frac{1}{3}x + 3$

Perpendicular Lines have OPPOSITE MULTIPLICATIVE INVERSE RATE OF CHANGES [SLOPES], so 3 becomes −⅓.

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I need help on this promblem

puteri [66]

The two triangles are similar all angles are equal.

the sides are proportional

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22AQ = 10 AQ+ 180

12 AQ = 180

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4 years ago

What is the solution to the equation g(x)=3?

aksik [14]

Answer:

3 ≤ x < 5

Step-by-step explanation:

The top horizontal line segment on the graph corresponds to g(x) = 3. That segment extends over the interval from 3 to 5, including 3, but not including 5. So ...

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3 years ago

Find the limiting value using L hospital

viktelen [127]

Answer:

-1

Step-by-step explanation:

The expression evaluates to the indeterminate form -∞/∞, so L'Hopital's rule is appropriately applied. We assume this is the common log.

d(log(x))/dx = 1/(x·ln(10))

d(log(cot(x)))/dx = 1/(cot(x)·ln(10)·(-csc²(x)) = -1/(sin(x)·cos(x)·ln(10))

Then the ratio of these derivatives is ...

lim = -sin(x)cos(x)·ln(10)/(x·ln(10)) = -sin(x)cos(x)/x

At x=0, this has the indeterminate form 0/0, so L'Hopital's rule can be applied again.

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3 years ago

Suppose that several insurance companies conduct a survey. They randomly surveyed 350 drivers and found that 280 claimed to alwa

KATRIN_1 [288]

Answer:

Lower limit = 0.76

Upper limit = 0.84

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 350

Number of drivers that buckle = 280

Formula:

$p' = \dfrac{x}{n} = \dfrac{280}{350} = 0.8$

$q' = 1-p' = 1 - 0.8 = 0.2$

The standard deviation for sp =

$=\sqrt{\displaystyle\frac{p'q'}{n}}\\\\=\sqrt{\dfrac{0.8\times 0.2}{350}} = 0.02138$

95% Confidence Interval:

$p' \pm z_{critical}(s_p)$

$z_{critical}\text{ at}~\alpha_{0.05} = \pm 1.96$

Putting the values, we get,

$0.8 \pm 1.96(0.02138)\\= 0.8 \pm 0.0419048\\=(0.7580952, 0.8419048)\\\approx (0.76,0.84)$

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3 years ago

Use Euler’s formula to find the number of vertices in a polyhedron with 6 square faces and 12 edges

Sloan [31]

Answer:

$V = 8$

Step-by-step explanation:

we know that

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Combine like terms left side

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Adds 6 both sides

$V - 6+6 = 2+6$

$V = 8$

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3 years ago