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3 years ago

For what value of B is the trigonometric function considered an odd function? y=cosB(x-c)

Mathematics

1 answer:

vichka [17]3 years ago

6 0

For what value of B is the trigonometric function considered an odd function? y=cosB(x-c)

1/4

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if the first and third of three consecutive odd integers are added, the result is 75 less than five times the second integers. f

Anastaziya [24]

Answer:

The third integer is 27

Step-by-step explanation:

Given

Represent the consecutive odd numbers with $T_1, T_2; and\ T_3$

Since they are consecutive odds, then

$T_2 = 2 + T_1$

$T_3 = 2 + T_2$

From the first statement in the question, we have that

$T_1 + T_3 = 5 T_2 - 75$

Required

Find the third integer

Recall that

Substitute $T_2 = 2 + T_1$ in $T_3 = 2 + T_2$

$T_3 = 2 + 2 + T_1$

$T_3 = 4 + T_1$

Substitute $T_3 = 4 + T_1$ and $T_2 = 2 + T_1$ in $T_1 + T_3 = 5 T_2 - 75$

$T_1 + 4 + T_1 = 5(2 + T_1) - 75$

Open Brackets

$T_1 + 4 + T_1 = 10 + 5T_1 - 75$

Collect like terms

$T_1 + T_1 + 4 = 5T_1 - 75 + 10$

$2T_1 + 4 = 5T_1 - 65$

Collect like terms

$2T_1 - 5T_1 = - 65 - 4$

$-3T_1 = - 69$

Divide both sides by -3

$\frac{-3T_1}{-3} = \frac{- 69}{-3}$

$T_1 = 23$

Recall that $T_3 = 4 + T_1$

$T_3 = 4 + 23$

$T_3 = 27$

The third integer is 27

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3 years ago

An observer for a radar station is located at the origin of a coordinate system. Find the bearing of an airplane located at the

Bond [772]

Answer:

Step-by-step explanation:

I can help

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3 years ago

If lim(x->3) f(x)=7, which of the following must be true?

fenix001 [56]

If lim(x->3) f(x)=7, then f(3) = 7.

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3 years ago

David is pouring an entire gallon of milk into 12 glasses. What part of a gallon will be in each glass

expeople1 [14]

This question calls for a fraction. In a fraction, the numerator (top number) is the number of parts, while the denominator (bottom number) is the total number of parts. One part is one glass of milk, and there are 12 parts total. So, we get the answer 1/12.

Answer: 1/12

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3 years ago

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There were 20 boys and 20 girls in a chorus. What is the ratio of boys to girls

aliya0001 [1]

Answer:

1:1

Step-by-step explanation:

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2 years ago