Graph y=3x+1 by plotting two,points and connecting with a straight line

Verify which of the following are identities.

ch4aika [34]

Answer:

C

Step-by-step explanation:

Equation 1:

$1+\frac{\cos^{2} \theta}{\cot^{2} \theta(1-\sin^{2} \theta)}\\ \\ 1+\frac{\sin^{2} \theta}{\cos^{2} \theta} \\ \\ 1+\tan^{2} \theta \\ \\ \sec^{2} \theta$

Equation 2:

$15\cos \theta \left(\frac{1}{\cos \theta}-\frac{\cot \theta}{\csc \theta} \right) \\ \\ 15\cos \theta \left(\frac{1}{\cos \theta}-\frac{\cos \theta / \sin \theta}{1/\sin \theta} \right) \\ \\ 15\cos \theta \left(\frac{1}{\cos \theta}-\cos \theta \right) \\ \\ 15\cos \theta \left(\frac{1-\cos^{2} \theta}{\cos \theta} \right) \\ \\ 15(1-\cos^{2} \theta) \\ \\ 15\sin^{2} \theta$

6 0

2 years ago

A scientist is measuring the temperature change in a chemical compound. The temperature dropped 11 degrees F per hour from the o

devlian [24]

The original temperature was 134

6 0

4 years ago

From a bowl containing five red, three white, and seven blue chips, select four at random and without replacement. Compute the c

snow_lady [41]

Answer:

The probability is $\frac{5}{9}$

Step-by-step explanation:

Let A be the event of one red, zero white, and three blue chips,

And, B is the event of at least three blue chips,

Since, A ∩ B = A (because If A happens that it is obvious that B will happen )

Thus, the conditional probability of A if B is given,

$P(\frac{A}{B})=\frac{P(A\cap B)}{P(B)}=\frac{P(A)}{P(B)}$

Now, red chips = 5,

White chips = 3,

Blue chips = 7,

Total chips = 5 + 3 + 7 = 15

Since, the probability of one red, zero white, and three blue chips, when four chips are chosen,

$P(A)=\frac{^5C_1\times ^3C_0\times ^7C_3}{^{15}C_4}$

$=\frac{5\times 35}{1365}$

$=\frac{175}{1365}$

$=\frac{5}{39}$

While, the probability that of at least three blue chips,

$P(B)=\frac{^8C_1\times ^7C_3+^8C_0\times ^7C_4}{^{15}C_4}$

$=\frac{8\times 35+35}{1365}$

$=\frac{315}{1365}$

$=\frac{3}{13}$

Hence, the required conditional probability would be,

$P(\frac{A}{B})=\frac{5/39}{3/13}$

$=\frac{65}{117}$

$=\frac{5}{9}$

4 0

3 years ago

HI HELP ITS A QUIZZZ!

Virty [35]

B. Its suggesting something bigger than -5

4 0

3 years ago

Louise calculated the height of a cylinder that has a volume of 486 pi cubic centimeters and a radius of 9 centimeters. Her work

Bumek [7]

Step-by-step explanation:

Louise calculated the height of a cylinder that has a volume of 486 pi cubic centimetres and a radius of 9 centimetres.

The formula for the volume of cylinder is :

V = B × h

B is area of base of cylinder

$B=\pi r^2$

i.e.

$V=\pi r^2 h$

Substituting given values,

$486\pi =\pi (9)^2 \times h$

$\pi$ will cancel out from both sides.

$486= (9)^2 \times h\\\\h=\dfrac{486}{81}\\\\h=6\ cm$

She forgets to cancel down $\pi$ from both sides. So, she get height as $6\pi\ cm$ . So, in the $\pi$ should have canceled, making the correct answer 6 cm.

3 0

4 years ago

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