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2 years ago

Decide whether the relation defines a function.

Mathematics

2 answers:

Volgvan2 years ago

8 0

Answer:

A. Function

Step-by-step explanation:

A function is a relation between sets that associates to every element of a first set exactly one element of the second set. .

Harlamova29_29 [7]2 years ago

7 0

A.Function, because there is different inputs and you cannot produce two or more different outputs given the same input.

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Prove that 1/sin^2A -1/tan^2A= 1

Vika [28.1K]

Answer:

Step-by-step explanation:

$LHS =\dfrac{1}{Sin^{2} \ A }-\dfrac{1}{Tan^{2} \ A }\\\\\\ = \dfrac{1}{sin^{2} \ A}- \dfrac{1}{\dfrac{Sin^{2} \ A}{Cos^{2} \ A}}\\\\\\= \dfrac{1}{sin^{2} \ A } - \dfrac{Cos^{2} \ A}{Sin^{2} \ A}\\\\\\= \dfrac{1-Cos^{2} \ A}{Sin^{2} \ A}\\\\\\= \dfrac{Sin^{2} \ A}{Sin^{2} \ A}\\\\\\= 1 = \ RHS$

Hint: 1 - Cos² A = Sin² A

4 0

2 years ago

Last one for real this time!<br> Find the perimeter and area the figure.

Natali5045456 [20]

Answer:

Perimeter = 180

Area = 1080

Step-by-step explanation:

Perimeter is length of all sides added together. 30+78+72 = 180

Area is the length times the height/2 for a triangle. 30*72/2 = 1080

I hope this helped <3

5 0

2 years ago

Ratios equivalent to 16:12

Artyom0805 [142]

Answer:

$\frac{16}{12}$ equivalent to $\frac{ 4}{3}$

Step-by-step explanation:

Given ratio, $\frac{16}{12}$

It can be written as $\frac{16}{12}=\frac{4 \times 4}{4 \times 3}$

cancel common factor,

$\frac{16}{12}=\frac{ 4}{3}$

4 0

3 years ago

B=ym+y for m m= help me solve thank u

Sveta_85 [38]

B = ym + y

B - y = ym

(B - y) / y = m
or
B/y - 1 = m

7 0

3 years ago

In an effort to estimate the mean of amount spent per customer for dinner at a major Lawrence restaurant, data were collected fo

larisa86 [58]

Answer:

The 99% confidence interval for the population mean is 22.96 to 26.64

Step-by-step explanation:

Consider the provided information,

A sample of 49 customers. Assume a population standard deviation of $5. If the sample mean is $24.80,

The confidence interval if 99%.

Thus, 1-α=0.99

α=0.01

Now we need to determine $z_{\frac{\alpha}{2}}=z_{0.005}$

Now by using z score table we find that $z_{\frac{\alpha}{2}}=2.58$

The boundaries of the confidence interval are:

$\mu-z_{\frac{\alpha}{2}}\times \frac{\sigma}{\sqrt{n} }\\24.80-2.58\times \frac{5}{\sqrt{49}}=22.96\\\mu+z_{\frac{\alpha}{2}}\times \frac{\sigma}{\sqrt{n} }\\24.80+2.58\times \frac{5}{\sqrt{49}}=26.64$

Hence, the 99% confidence interval for the population mean is 22.96 to 26.64

3 0

3 years ago