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3 years ago

Solve: y+1/2 – 2y-1/3 = 4

Mathematics

1 answer:

zvonat [6]3 years ago

7 0

Answer:

y=−23/6

Step-by-step explanation:

step 1: Combine like terms

-y+1/6=4

Step 2: Subtract 1/6 from both sides.

−y+1/6−1/6=4−1/6

−y=23/6

Step 3: Divide both sides by -1.

-y/-1=23/6/-1

y=−23/6

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(co Write a cosine function that has an amplitude of 2, a midline of 5 and a period of 8.

tatyana61 [14]

Answer:

y=2 cos (π/4x-π/4)

Step-by-step explanation:

Given

A cosine function has an amplitude of 2, a midline of 5 and a period of 8.

To find:

A cosine function.

Explanation:

Let the function be,

$y=Acos(ws+p)$

Since amplitude is 2.

Then,

$A=2$

Also, since the period is 8.

Then,

$w=\frac{2\pi }{8}$

$w=\frac{\pi }{4}$

And, since midline is 5.

Hence, the cosine function is,

y=2 cos ( $\frac{\pi }{4}$ x- $\frac{\pi }{4}$

6 0

2 years ago

the slope of a line is -1/5 and the y intercept is 5 what is the equation of the line written in slope intercept form

trasher [3.6K]

Answer:

y = -1/5x +5

Step-by-step explanation:

The slope intercept form is y = mx+b where m is the slope and b is the y intercept

y = -1/5x +5

3 0

3 years ago

Think about a standard deck of 52 playing cards. Which of the following events is mutually exclusive?

Shtirlitz [24]

Answer:

1.) Drawing a king or a queen.

Step-by-step explanation:

1.) Drawing a king or a queen.

You cannot get a king and a queen at the same time= mutually exclusive

2.) Drawing a club or a black card.

King of clubs is both a club and a black card

3.) Drawing a king or a heart.

king of hearts is both a heart and a king

4.) Drawing a face card or a heart

queen of hearts is a heart and a face card

7 0

3 years ago

Please, I give 20 score. Find the volume

Elza [17]

Answer:

2388.16 in³

Step-by-step explanation:

1) find volume of cylinder

formula: πr²h

given:

π = 3.14

r = 8/2 = 4 in

h = 9 in

$\pi \: r {}^{2} h$

$(3.14) \times (4 {}^{2} ) \times 9$

$3.14 \times 16 \times 9$

$452.16 \: {in}^{3}$

2) find volume of cuboid

formula: length × width × height

given:

length = 16 in

width = 11 in

height = 11 in

$l \: \times w \: \times h$

$16 \times 11 \times 11$

$1936 \: in {}^{3}$

total volume of figure

= volume of cylinder + volume of cuboid

= 452.16 in³ + 1936 in³

= 2388.16 in³

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Find the measures of a positive angle and a negative angle that are coterminal with each given angle

seraphim [82]

Answer:

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Step-by-step explanation:

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3 years ago