Expand . ( 3x –2 ) 2 please help me with this.

Answers

Answer 1

Answer:

6x-4

Step-by-step explanation:

3x•2= 6x

-2•2=-4

Answer 2

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Answer:  [tex]\textsf{9x}^2\textsf{ - 12x + 4}[/tex]

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Given:  [tex]\textsf{(3x - 2)}^2[/tex]

Find: [tex]\textsf{Simplify the expression}[/tex]

Solution:  It looks like 2 is at the end of the parenthesis where the power would be instead of distributing the number.  If so the following steps would be followed.

Expand

[tex]\textsf{(3x - 2)}^2[/tex][tex]\textsf{(3x - 2)(3x - 2)}[/tex][tex]\textsf{(3x * 3x) + (3x * (-2)) + (3x * (-2)) + (-2 * (-2))}[/tex]

Simplify

[tex]\textsf{9x}^2\textsf{ - 6x - 6x + 4}[/tex][tex]\textsf{9x}^2\textsf{ - 12x + 4}[/tex]

Therefore, after following the provided information we are able to determine that the expanded form would be 9x^2 - 12x + 4.


Related Questions

What is the product of (6x^2 − 8)(9x^2 – x + 1)?

Answers

[tex](6 {x}^{2} - 8)(9 {x}^{2} - x + 1) \\ 54 {x}^{4} - 6 {x}^{3} + 6 {x}^{2} - 72{x}^{2} + 8x - 8 \\ 54 {x}^{4} - 6 {x}^{3} - 66 {x}^{2} + 8x - 8[/tex]

Hope it helps

please give brainliest

Find the missing length given that GH is a midsegment of the trapezoid. Base 42 and midpoint 26

Answers

The missing length is 14 unit.

The Trapezoid Midsegment segment theorem states that the length of midsegment of trapezoid is half the sum of the length of its two parallel sides of the trapezoid.

In a trapezoid, Midsegment = 1/2 × ( Sum of two bases of the trapezoid )

Here, The midsegment GH is given by 26.

One of the bases = 42

Let, another base be x

Then we have to use the formula of mid segment to find the another base of the trapezoid

∴ GH = 1/2 × (42+x)

⇒ 26 = 1/2 × (42+x)

⇒ 56 = 42+x

⇒ x = 56-42

⇒ x = 14

So, the missing length = 14 unit

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NEED HELP ASAP 1 HOUR LEFT

Answers

The number of units that will maximize revenue will be 672 units.

How to calculate the revenue?

From the given information, p = 336 - 0.5x. The revenue function will be:

= (336 - 0.5x)x

= 336x - 0.5x²

This will be equated to 0. This will be:

336x - 0.5x² = 0

0.5x² = 336x

0.5x = 336

x = 336/0.5

x = 672

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Se calcula que el 2013 habia 19,000 árboles en la ciudad. el año 2014.para prevenir caídas de árboles viejos, se corto el 2% y el 2015 se quemó en un incendio el 5% de lo que quedaba
A) En que porcentaje disminuyó el número de árboles de 2013 a 2015?
B) Cuantos árboles quedan en esta ciudad a fines del 2015?

Answers

Answer:

yyjyidsksjsjsosiddhdoehsudidhdhsjidjsjsjejsksksksjsjsjdd

a) Write 2 expressions for the area of the shaded region.
b) Find the length of the shaded region if the perimeter is 48cm.
c) Find the area of the shaded region if perimeter is 48cm.

Answers

Answer:

(a)9×3=37' 97 and 8 are factors of 37

Marquis wrote the linear regression equation y = 1.245 x minus 3.684 to predict the cost, y, of x songs purchased. marquis spent $40 on songs. which is the best estimate of the number of songs that marquis purchased? 29 32 35 46

Answers

Answer:

35

Step-by-step explanation:

1. Write the equation

y = 1.245x - 3.684

2. Set y = 40, since that is the cost of the songs he purchased.

40 = 1.254x - 3.684

3. Add 3.684 to both sides

43.684 = 1.254x

4. Divide by 1.254

x = 35.0875502

Answer:

Answer is C.) 35

Step-by-step explanation:

An item is purchased for a wholesale price of $48 and will be sold at a 55 percent markup. Which expression should be used to find the amount of the markup?
48 dollars (0.55)
48 dollars (55)
48 dollars (0.55) + 48 dollars
48 dollars (55) = 48 dollars

Answers

The amount of the markup is $48 + $48 (0.55) .

Option (C) is correct .

What is Markup Price?

Mark up refers to the value that a player adds to the cost price of a product. The value added is called the mark-up. The mark-up added to the cost price usually equals retail price.

As given

An item is purchased for a wholesale price of $48 and will be sold at a 55 percent markup.

55% is written in the decimal form .

                                              = 55/100

                                              = 0.55

Markup price = 0.55 × wholesale price of item .

                      = 0.55 × $48

                     = $48 (0.55)

Price of item after markup = Wholesale price of item + Markup price

                                           = $48 + $48 (0.55)

Thus, the amount of the markup is $48 + $48 (0.55) .

Option (C) is correct .

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Answer:The answer is A

Step-by-step explanation:

Edg 2022 (sometimes the verified ones are wrong)

please help me its help.

Answers

The answer will be 81.

Step-by-step explanation:

just multiple by 3

Answer:

81

Step-by-step explanation:

the people told secrion has a sequence of multiplyung by 3 if you continue the sequence you will get to 81

_3x_13 =_7x+15 what is the an




Answers

Answer:

x = -7

Step-by-step explanation:

_3x_13 =_7x+15 what is the anSWER?

assuming that the underscore is a minus and you are looking for the x value.

-3x - 13 = -7 + 15

-3x = -7 + 15 + 13

-3x = 8 + 13

-3x = 21

x = -7

---------------

check

-3 * (-7) - 13 = -7 + 15

21 - 13 = 8

8 = 8

the answer is good

You find a wooden shelf 4½ feet long. You want to cut it to make two smaller shelves. One will be 1¼ feet long, the other, 2⅜ feet long. Is the uncut shelf long enough? Explain your answer.​

Answers

The length of the uncut shelf is not long enough.

Given a wooden shelf 4½ feet long.

The length of two small shelves is  1¼ and 2⅜ feet long respectively.

To find an uncut shelf long enough or not subtract shelf's piece length from the total length of the wooden shelf length.

The length of an uncut shelf can be calculated as:

⇒1¼ + 2⅜+x= 4½

⇒5/4 + 19/8 + x = 9/2

To solve this equation make variable and constant different sides.

⇒x= 9/2-5/2-19/8

⇒x=2-19/8

⇒x=-3/8

The length of the uncut shelf is -3/8 feet, which is not valid (∵ Length cannot be negative).

∴ The length of the shelf is not long enough.

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Please help me!!!!!! Geometry

Answers

Draw on a graph to see which line is longer

Find X = Find Y= please help ty :)​

Answers

Answer:

X = 125° and Y = 75°

Step-by-step explanation:

Y = 75° because the line the bisects two parallel lines. When this happens, the angles at the corners are identical.

To find the value of "X", I first found the value of the last angle in the triangle. I found this by performing the following:

180° - 55° - 75° = 55°

The value of this missing angle is 55°. To find "X", I subtracted this value from 180°. I did this because lines always equal 180°

180° - 55° = 125°

X is 125 and Y is 130

If T(x) = x + 0.14x, then find the value of T(290).

Answers

The value if T(290) is 330.6

What is equation?

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign.

Given:

T(x) = x + 0.14x

T ( 290)= 290+ 0.14* 290

            = 290+ 40.6

           = 330.6

Hence, the value of T(290) is 330.6.

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This is all the questions I need answers to:


A two-digit locker combination has two non-zero digits and no two digits are the same. Event A is defined as choosing an even digit for the first number, and event B is defined as choosing an odd digit for the second number.
If a combination is picked at random, with each possible locker combination being equally likely, what is P(B|A) expressed in simplest form?

A. 4/9
B. 1/2
C. 5/9
D. 5/8


A locker combination consists of two non-zero digits, and each combination consists of different digits. Event A is defined as choosing an even number as the first digit, and event B is defined as choosing an even number as the second digit.
If a combination is picked at random, with each possible locker combination being equally likely, what is P(A and B) expressed in simplest form?

A. 1/6
B. 5/18
C. 1/2
D. 5/9



A jar contains 5 red marbles and 8 white marbles.
Event A = drawing a white marble on the first draw
Event B = drawing a red marble on the second draw
If two marbles are drawn from the jar, one after the other without replacement, what is P(A and B) expressed in simplest form?

A. 3/13
B. 10/39
C. 5/12
D. 8/13



A bag contains 5 blue marbles, 8 green marbles, 4 red marbles, and 3 yellow marbles.
Event A = drawing a green marble on the first draw
Event B = drawing a blue marble on the second draw
If Jasmine draws two marbles from the bag, one after the other and doesn’t replace them, what is P(B|A) expressed in simplest form?

A. 2/19
B. 1/6
C. 4/19
D. 5/19




A jar contains 3 pink balls, 6 blue balls, and 3 red balls.
Event A = drawing a red ball on the first draw
Event B = drawing a pink ball on the second draw
If two balls are drawn from the jar, one after the other without replacement, what is P(A and B) expressed in simplest form?

A. 3/44
B. 4/9
C. 3/11
D. 1/4




House numbers along a street consist of two-digit numbers. Each house number is made up of non-zero digits, and no digit in a house number is repeated.
Event A is defined as choosing 8 as the first digit, and event B is defined as choosing a number less than 6 as the second digit.
If a house number along this street is picked at random, with each number being equally likely and no repeated digits in a number, what is P(A and B) expressed in simplest form?

A. 1/9
B. 5/72
C. 5/8
D. 2/3




House numbers along a street consist of two-digit numbers. Each house number is made up of non-zero digits, and no digit in a house number is repeated.
Event A is defined as choosing 8 as the first digit, and event B is defined as choosing a number less than 6 as the second digit.
If a house number along this street is picked at random, with each number being equally likely and no repeated digits in a number, what is P(A and B) expressed in simplest form?

A. 2/7
B. 5/14
C. 5/13
D. 6/13




A two-digit locker combination is made up of two non-zero digits. Digits in a combination are not repeated and range from 3 through 8.
Event A = choosing an odd number for the first digit
Event B = choosing an odd number for the second digit
If a combination is chosen at random, with each possible locker combination being equally likely, what is P(A and B) expressed in simplest form?

A. 1/5
B. 3/14
C. 5/18
D. 2/5




A locker combination consists of two non-zero digits. The digits in a combination are not repeated and range from 2 through 9.
Event A = the first digit is an odd number
Event B = the second digit is an odd number
If a combination is picked at random with each possible locker combination being equally likely, what is P(B|A) expressed in simplest form?

A. 3/8
B. 3/7
C. 1/2
D. 4/7




There are 15 tiles in a bag. Of these, 7 are purple, 5 are black and the rest are white.
Event A = drawing a white tile on the first draw
Event B = drawing a purple tile on the second draw
If two tiles are drawn from the bag one after the other and not replaced, what is P(B|A) expressed in simplest form?

A. 1/5
B. 1/3
C. 7/15
D. 1/2

I know theres a lot here but please hurry :) thx 100 points to the first person to answer all correctly! thx :)

Answers

The  is probability P(B|A) expressed in simplest form is 1/2 (Option B) See computation below.

How do we derive the above?

P (A) = [[tex][\mathrm{C}_{5}^{1} \mathrm{C}_{8}^{1}]/ \mathrm{A}_{9}^{2}[/tex]

= ('5 x 8)/(9 x 8)

P (A) = '5/9

P (AB) = [tex][\mathrm{C}_{5}^{1} \mathrm{C}_{4}^{1}]/ \mathrm{A}_{9}^{2}[/tex]

= ('5 x 4)/(9 x 8)

= '5/18

P(B|A) = P (AB)/P(A)

= ('5/18)/('5/9)

P(B|A)  = 1/2

How do we derive P(A and B) in the simplest form?

From the above we already have P (AB)

this is given as

P (AB) = [tex][\mathrm{C}_{5}^{1} \mathrm{C}_{4}^{1}]/ \mathrm{A}_{9}^{2}[/tex]

= ('5 x 4)/(9 x 8)

P(AB) = '5/18

How do we derive P(A and B) in the simplest form where a jar contains 5 red marbles and 8 white marbles?

Note that:


Event A = drawing a white marble on the first draw

Event B = drawing a red marble on the second draw

P(A) = 8/13; while

P (B) = (5/12) because the first marble was not replaced, thus reducing th sample to 12.

Thus

P(A and B) = P(A)*P(B) = 8/13 * 5/12

P(A and B) =  10/39 (Option B)

If Jasmine draws two marbles from the bag, one after the other and doesn’t replace them, what is P(B|A) expressed in simplest form?

Event A - Probability of Drawing a Green Marble is 8/20

Event B - Probability of Drawing a Blue Marble is 5/19

Thus P(B|A) = (8/20) * (5/19)

= [tex]\frac{8 * 5 }{20 * 19}[/tex]

= 40/380; divide numerator and denominator by 20

P(B|A) = 2/19 (Option A)



If two balls are drawn from the jar, one after the other without replacement, what is P(A and B) expressed in simplest form?

Event A = Probability of Drawing a red ball = 3/12

Event A = Probability of Drawing a pink ball without replacing the read in Event A = 3/11

Thus P (B and A) =

3/12 x 3/11

P (B and A) = 3/44 (Option A)

If a house number along this street is picked at random, with each number being equally likely and no repeated digits in a number, what is P(A and B) expressed in simplest form?

The conditions given are as follows:

The house number comprises of nonzero digits and are of two digits ranging from 1 to 9.

As per the condition, the First digit 8 can be selected in 9 ways; and Second digits is less than 6 can be selected in  ways

The sum total of ways thus is

9 x 8

= 72 ways........X

Recall that

Event A is defined as selecting 8 as the first numeral

The only way to select this is one way

Event B is defined as choosing a number less than 6 as the second digit, that is 1, 2, 3, 4, 5

Thus, the possible number of ways to fill second digit = 5/8

Thus, the possible number of ways to form two digits 'AnB' =
('AnB') = 1 x 5 = 5 .................y

Hence Probability (AnB) = 5/72 (Option B)

If a combination is chosen at random, with each possible locker combination being equally likely, what is P(A and B) expressed in simplest form?

Given that the non-zero digits are in a combination are not repeated and range from 3 through 8, thus the odd numbers between 3 and 8 are:

3, 5, 7

total numbers is 3, 4, 5, 6, 7, 8

Hence; Event A = choosing an odd number for the first digit = 3/6

Event B = choosing an odd number for the second digit (recall that the numbers are not repeated) = 2/5

= [tex]\frac{2*3}{3*6}[/tex]

= 6/30

= 1/5 (Option A)



If a combination is picked at random with each possible locker combination being equally likely, what is P(B|A) expressed in simplest form?

Event A = the first digit is an odd number

Event B = the second digit is an odd number

The numbers from 2 to 9 are:
2,3,4,5,6,7,8,9

The odd numbers between 2 and 9 are:

3,5,7,9

P (A) = 4/8

P (B) = 3/7

P(B|A) = (3/7)/(4/8)

P(B|A) = 3/7



If two tiles are drawn from the bag one after the other and not replaced, what is P(B|A) expressed in simplest form?

Event A = drawing a white tile on the first draw

Event B = drawing a purple tile on the second draw

P(B|A) = (P(AnB)/P(A)

|n| = 15 * 14 = 210

| A| = 3*14 = 42

| AnB| = 3*7 = 21

P (A) = 42/210 = 6/30

P (AnB) = 21/210 = 1/10

P(B|A) = (1/10)/6/30)

P(B|A) = 1/10 * 30/6

P(B|A) = 30/60
P(B|A) = 1/2 (Option D)

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Explain how the shapes shown have been sorted.

Two groups of shapes. In group A, one shape has four equal side lengths of three, and no right angles. The opposite sides are parallel. Two shapes have two pairs of opposite equal side lengths. One shape has side lengths of four and eight. The other side lengths are three and two. Opposite sides are parallel, and there are no right angles. In group B there are three four sided shapes. One has opposite equal side lengths of seven and four and four right angles. One shape has four equal side lengths of three and four right angles. One shape has one set of opposite parallel sides and one right angle. None of the side lengths in the last shape are equal.

Answers

Answer:

There are different kinds of shapes. The shapes have been sorted below:

The shape that has  one shape has four equal side lengths of three, and no right angles is rhombus.The opposite sides are parallel is parallelogram .Two shapes have two pairs of opposite equal side lengths is a parallelogram.A shape that has side lengths of four and eight is quadrilateral  and octagon.Opposite sides are parallel, and there are no right angles is a parallelogramHeptagon has opposite equal side lengths of sevenQuadrilaterals and  triangle shape has shape has four equal side lengths of three and four right angles.Trapezoids has one set of opposite parallel sides and the shape that has one right angle is right-angled triangles.None of the side lengths in the last shape are equal is scalene triangle.What do you understand by the term shapes?

The term shape is a word that connote the form or dimensions  of an object and also their outline.

It is made up of outer boundary and also outer surface. Most of everything in the world today do have shape.

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A bike wheel is 26 inches in diameter. What is the bike wheel's diameter in millimeters (1 inch = 25.4 millimeters)?

Answers

Answer: 26 inches is equivalent to 660.4 millimeters.

Step-by-step explanation:

You will multiply the inches by the conversion.

[tex]26in*25.4mm=660.4mm[/tex]

Therefore, the answer is 660.4 millimeters.

I hope this helps!! Pls mark brainliest :)

Please help!!!!!!!!!!!!!!!!!1

Answers

X = 4

Hope This Helps! :)

Answer:

f(x)=(x+4)(x+2)

Step-by-step explanation:

Factor  x^2−6x+8  using the AC method.

write these recurring decimals as fractions:
1. 0.7 recurring
2. 0.7235 [the 3 and 5 are recurring]

Answers

Answer:

[tex]\frac{7}{9}[/tex] and [tex]\frac{7163}{9900}[/tex]

Step-by-step explanation:

we require 2 equations with the repeating digits placed after the decimal point.

(1)

let x = 0.777... (1) ← multiply both sides by 10

10x = 7.777... (2)

subtract (1) from (2) thus eliminating the repeating digits

9x = 7 ( divide both sides by 9 )

x = [tex]\frac{7}{9}[/tex]

(2)

let x = 0.723535.. ( multiply both sides by 100 and 10,000 )

100x = 72.3535.... (1)

10,000x = 7235.3535..... (2)

subtract (1) from (2) thus eliminating the repeating digits

9900x = 7163 ( divide both sides by 9900 )

x = [tex]\frac{7163}{9900}[/tex]

In the figure below, what is the value of x°?​

Answers

Answer:

1

Step-by-step explanation:

x to the zeroth power is always 1

Answer:

Step-by-step explanation:

90 - 20 = 70

So now do 5 times x and that's also equal to 70

70.x =11

Which piece of additional information can be used to prove that △rst ~ △vut? rt = st 3st = ut ∠r ≅ ∠v ∠v ≅ ∠u

Answers

The option third ∠R ≅ ∠V is correct because line segment RS and UV are parallel which is crossed by a transversal RV.

What is the similarity law for triangles?

It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have given two triangles:

Triangle RST and Triangle VUT

AS we can see Line segment RS and UV are parallel.

Which is crossed by a transversal RV.

The angle SRV = Angle RVU

Thus, the option third ∠R ≅ ∠V is correct because line segment RS and UV are parallel which is crossed by a transversal RV.

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Answer:

c

Step-by-step explanation:

Gerald is constructing a line parallel to line l through point P. He begins by drawing line m through points P and Q. He then draws a circle centered at Q, which intersects line l at point N and line m at point S. Keeping the compass measure, he draws a congruent circle centered at point P, which intersects line m at point T.

Which next step will create point R, such that when a line is drawn through points P and R, the line will be parallel to line l?

Lines m and n intersect at point Q. A circle is drawn around point Q and forms point S on line m and forms point N on line l. Point P is also on line m. A circle is drawn around point P and forms point T on line m.
Use the compass to construct a circle centered at Q through point P.
Using the compass measure between points S and N, draw an arc to the right of line m, centered at T, intersecting the edge of circle P.
Using the compass measure between points S and N, draw an arc above line l, centered at N, intersecting the edge of circle Q.
Use the compass to construct a circle centered at P through point Q.
Mark this and return

Answers

Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope. The correct option is C.

How are parallel straight lines related?

Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.

Since the given parallel line has equation y = 2x + 2 , thus its slope is 2 and thus, the slope of the needed line is 2 too.

The next step that Gerald should take is Using the compass measure between points S and N, draw an arc to the right of line m, centered at T, intersecting the edge of circle P.

Hence, the correct option is C.

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Marsha has 132 books.
They are divided
equally between three
shelves. Each book
weighs 0-2 kg.
How much weight
does each shelf
support?

Answers

Answer:

Step-by-step explanation:

=132/3

=44 books per shelf

since maximum weight of a book is 2kgs,

=44(2)

=88

To show - 7 on the number line, from zero, we have to move 7 units in which direction?

Answers

Answer:

7 units to the left.

Step-by-step explanation:

On the number line , the number will always decrease when we move towards the left, and likewise will always increase when we move towards the right. In this case since the number is moving from 0 to -7, it is definitely decreasing therefore we will move 7 units to the left.

The question is in the photo! Please help

Answers

the answer is the second one because in order to create a perpendicular line, the slope of the new equation has to be the opposite reciprocal of the previous slope. An opposite is simply switching signs (Ex: 5 become -5), and a reciprocal is simply switching the numerator and denominator. (Ex: 2 becomes 1/2). so the opposite reciprocal would be switching the sign then flipping the numerator and denominator.
the y intercept does not matter with linear equations
the answer is the second one.

What is the solution to the following equation?
3(x-4)-5-x-3
A. x = 12
B. x=3
C. x=8
D. x = 7

Answers

Answer:

D. x = 7

Step-by-step explanation:

NOTE : there should be an equal sign somewhere in the given expression.

suppose the equation is the following:

3(x-4)-5 = x-3

………………………………………………………

3(x - 4) - 5 = x - 3

⇔ 3x - 12 - 5 = x - 3

⇔ 3x - 17 = x - 3

⇔ 3x - 17 + 17= x - 3 + 17

⇔ 3x = x + 14

⇔ 2x = 14

⇔ x = 14/2

⇔ x = 7

Can you answer this question

Answers

Step-by-step explanation:

Hi There! Let me help you :)

[tex] = 6.6.6.3.3[/tex]

[tex] = 6(1 + 1 + 1).3(1 + 1)[/tex]

[tex] = 6(3).3(2)[/tex]

The answer would be 6(3) • 3(2)

Explanation: 9 • 6
9 • 6 = 54

A fountain sprays water into a pool as part of the filtration system. The projected path of water is modeled by the function given in the table, where x represents the time in seconds since the water left the fountain and f(x) represents the height in feet above the pool’s water line.



How many seconds does the water travel through the air?

–6
1.5
3
5

Answers

The water travels in 3 seconds.

The correct option is (C).

what is function?

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given information-

x          0       1       2       3      4      5

f(x)     1.5      2     1. 5     0    -2.5   -6

The image of table attached below.

Here, x represents the time (sec) and f(x) represent the height in feet above the pool’s water line.

From the table,

The height of the water started with 1.5 ft above.After one second the water height reached to the 2 feet above.After two seconds the water height reached to the 1.5 feet above.In 3rd second the water height comes down at the pool's water line.

Hence, the water travel through the air for the 3 seconds.

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Someone please help with this

Answers

2sin(x) - 1 =0

first, simplify and isolate sin(x)

2sin(x) - 1 = 0

2sin(x) = 1

sin(x) = 1/2

Then, do sin inverse of 1/2 which is 30 degrees

150 degrees also works because when you set 30 degrees as the reference angle in quadrant 2, you get 150 degrees. 180-30 = 150

C is the answer

A delivery of 5 large boxes and 3 small boxes has a total mass of 137 kilograms. A delivery of 2 large boxes and 6 small boxes has a total mass of 128 kilograms. What is the mass of each type of box?

Answers

Answer:

Large boxes are 18.25 kg

Small boxes are 15.25 kg

Step-by-step explanation:

This is a system of equations. You need to set up each equation first.

I am assigning x to be big boxes and y to be small boxes.

5x + 3y = 137

2x + 6y = 128

To solve, you will need to eliminate a variable. That means you will have to multiply one of the equations by a number to make it so a variable will be eliminated. I will be multiplying the top equation by -2.

-2 ( 5x + 3y = 137)

    2x + 6y = 128

Distribute the -2 to everything in the parentheses in the first equation.

-10x - 6y = -274

2x + 6y = 128

Notice the 6y will go away because -6y + 6y = 0. Now add the equations together. The remaining equation is:

-8x = -146

Solve for x by dividing by -8.

x = 18.25

Now plug that into one of the original equations.

2(18.25) + 6y = 128.

36.5 + 6y = 128                Subtract 36.5 from each side

-36.5            -36.5

6y = 91.5                          Divide by 6 to solve

y = 15.25

What is the solution to the system of equations?

2x + 4y = 12
y = 1/4x - 3

A. (–1, 8)
B. (8, –1)
C. (5, 1/2)
D. (1/2, 5)

Answers

Solution to the system of equations:
B. (8, -1)
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