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Answer:

See explanation

Step-by-step explanation:

Given

[tex]3x = 6[/tex]

Solving (a): What the expression means

3 when multiplied by x, gives 6

Solving (b): Why 2 is the solution

We have:

[tex]3x = 6[/tex]

Divide both sides by 3

[tex]\frac{3x}{3} = \frac{6}{3}[/tex]

[tex]x = \frac{6}{3}[/tex]

[tex]x = 2[/tex]

Answer:

[tex]S_{32}[/tex] = - 1216

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = 24 and d = a₂ - a₁ = 20 - 24 = - 4 , then

[tex]S_{32}[/tex] = [tex]\frac{32}{2}[/tex] [ (2 × 24) + (31 × - 4) ]

     = 16(48 - 124)

     = 16 × - 76

     = - 1216

Answer:

Lateral Area: 120                                                                                    

Surface Area: 163.3

Answer:

=> 2x²-7x+5

=> 2x²-2x-5x+5

=>2x(x-1)-5(x-1)

______________

Hope it helps

-------☆ﾟ.･｡ﾟƒöᏝϗʆѻʁᶥąռ¹₃

Answer:

Step-by-step explanation:

Step-by-step explanation:

1. C:arithmetic, 34, 39, 44

2. B: geometric, -64, 128, -256

3. C: geometric, 1, 1/3, 1/9

Answer:

15th day

1 / 2 ; 1 / 2

Step-by-step explanation:

Given :

Ivan = Every 3rd

Gavin = Every 5th

To Obtain the first day they'll be at the gym a together;

Lowest common multiple of the days :

Multiples of 3 = 3, 6, 9, 12, 15, 18, 21, 24

Multiples of 5 = 5, 10, 15, 20, 25, 30

Lowest common multiple = 15

2.)

Time in hours = 1

Number of shows = 2

Ratio of hours to shows = 1 / 2

Ratio for 3 hours of watching television :

3 * (1 /2) = 3 / 6 = 1 / 2

Answer- 0.48

Hope this Helped :T

Answer:

9 4/9 (this is a mixed fraction btw)

Step-by-step explanation:

Question: 3 4/9 + 5 7/9

Add whole numbers:

3+5 = 8

Combine fractions: 4/9 + 7/9 = 13/9

*fix your improper fraction into a proper one*

so, 13/9 turned into mixed fraction is 1 4/9 (to be clear it's not 14, 1 is the whole number and then the fraction 4/9.) *write it like a mixed fraction please*

anyway, we're not done yet..

8+1 4/9

= 9 4/9

Answer:

[tex]x^2 -5x +3 = 0\\\\ x= \frac{-b \pm \sqrt{b^2-4*a*c} }{2a} \\\\b = -5, a = 1 , c = 3\\\\x= \frac{-b + \sqrt{b^2-4*a*c} }{2a} , x= \frac{-b -\sqrt{b^2-4*a*c} }{2a}\\\\x= \frac{5 + \sqrt{25-12} }{2}, x= \frac{5-\sqrt{25-12} }{2}\\\\x= \frac{5+\sqrt{13} }{2}, x= \frac{5- \sqrt{13} }{2}[/tex]

Answer:

A. 520 square inches is your surface area of the rectangular prism

Answer:8.5km

Step-by-step explanation:

Answer:

The experimental probability of flipping tails is 40%. Mentor: The experimental probabilities were 40% tails and 60% heads. This does not precisely match with the theoretical probability of 50% tails and 50% heads.

Step-by-step explanation:

Answer:

g = 4

Step-by-step explanation:

-7g - 2 = -30

Add 2 to both sides to get:

-7g -2+2 = -30+2

which is equal to:

-7g = -28

now divide both sides by -7 to get the value of g which is:

g = -28 / - 7

--> g = 4

Answer:

g = 4

Step-by-step explanation:

First you can add 2 to both sides to isolate the x term:

-7g -2 = -30

      +2   +2

-7g = -28

Now, you can divide by -7 both sides to find g,

-7g = -28

÷ -7     ÷ -7

g = 4

Answer:

55

Step-by-step explanation:

x - 9 = 1/2(x + 37) according to inscribed angles theorem

2x - 18 = x + 37

x = 55

Answer:

5*(s+12) = $105

Step-by-step explanation:

5 snacks + 5 tickets makes the total 105 so the equation

5*(s+12) = $105 is the answer to the question.

Answer: 103,000

Step-by-step explanation:

Answer:

288 cubic feet

Step-by-step explanation:

6x6= 36 that is for one base now multiply by 8 and get 288

Answer:

15000000000000000000000000000000000000000000

Step-by-step explanation:

Answer:

150 centimeters

Step-by-step explanation:

just multiply!

hope this helps :)

Answer:

2(-2,4) + 2(-1,8)=-8.4

Step-by-step explanation:

2x-2

2x4

2x-1

2x8

-8.4

Answer: 6 times

Step-by-step explanation: 2.50 divided by 15 is 6.

Answer:

[tex] {x}^{3} + {x}^{2} −24x+36[/tex]

Step-by-step explanation:

[tex](x + 6)(x - 2)(x - 3)[/tex]

[tex][x(x−2)+6(x−2)](x−3)[/tex]

[tex]( {x}^{2} −2x+6x−12)(x−3)[/tex]

[tex]( {x}^{2} +4x−12)(x−3)[/tex]

[tex] {x}^{3} + {x}^{2} −24x+36[/tex]

Step-by-step explanation:

a) for the first part, you take your compass and stretch it more than halfway on to line UV. Place the fixed point at V and draw a curve. make sure you keep your compass the same size, put the fixed part of your compass on point U and draw a curve again. both curves should go both upward and downward. Now, your curves should meet at two points. use your straight edge to draw the line that meets at both points. I have drawn an example of what it should approximately look like. for the second part you are simply using your straight edge to draw a line from T down to the median M you previously found. I have drawn a second picture to show you.

b) now to check if they are perpendicular, we must find the slope of each line. I will not be able to do this accurately since I didn't use an exact method to find M, so you must follow my steps.

Step 1: find the slope of UV. To do so, we must take two points from the line. I will take points U and V because they are easiest to see. To find the slope, we can use the equation:

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

where m is the slope.

so, let's define our points.

Point V is (4,4), let's call this point one.

Point U is (14,6), let's call this point two.

So,

x1= 4

y1= 4

and

x2= 14

y2= 6

now, we can plug these into our slope equation.

[tex]m = \frac{6 - 4}{14 - 4} = \frac{2}{10} = \frac{1}{5} [/tex]

You must then use the points T and M in order to solve the second slope. Where T is (2,12). I will keep M as (x1, y1) for now.

The equation should then look like:

[tex]m = \frac{2 - y1}{12 - x1} [/tex]

now, in order for it to be perpendicular to our original slope, it must be the opposite reciprocal, which is the number flipped and made negative. The opposite reciprocal of 1/5 will be -5.

It should NOT be, as we have been told. So, we can state:

"I know that TM is not perpendicular to UV because the UV has a slope of 1/5 and TM has a slope of x, which is NOT the opposite reciprocal on 1/5."

Hope this helps! :)

Answer:

[tex]x = \frac{22}{3}[/tex]

Step-by-step explanation:

Since both CB and ED intersect AD perpendicularly, we can say they are parallel and that ΔACB is similar to ΔAED from Thales intercept theorem. Now, we can set up a proportion from the definition of similar triangles:

[tex]\frac{AB}{AD} = \frac{BC}{DE}[/tex]

We can say that AD = AB + BD(segment addition postulate) and substitute to get AD = 11. Now we can plug in the numbers we have to the proportion:

[tex]\frac{6}{11} =\frac{4}{x}[/tex]

We can cross-multiply to get:

[tex]6x = 44[/tex]

and divide by 6 to get

[tex]x = \frac{22}{3}[/tex]

Answer:

Yes

Step-by-step explanation:

Like terms are terms that have the same variables.

-c and 4c have the same variables. If it helps, -c can also be written as -1c. Both terms have the variable c.

I hope this helps!

Answer:

the feather colors and beak shapes of every bird observed in a park.

Step-by-step explanation:

you said it in your question

Answer:

Qualitative

Its right i swear

Answer:

Kite because it has two pairs of opposite sides and opposite angles that are equal .

Answer:

Y=26.9x-1.3is the answer

Step-by-step explanation:

The best model represents y = 26.9x – 1.3

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

As, the data given about productivity is well defined by y = 26.9x – 1.3

As, we have 4 functions so by putting the values we get

x                  A                 B                C               D

2              66.66          49.3            52.5           50

4             94.57            71.44           106.3         104  

6             134.14           103.57         160.1          158

8             190.27          150.14          213.9         212

10           269.91           217.64         267.7         266

12           382.85          315.5           321.5          320.

So, the most accurate is (C)y = 26.9x – 1.3.

Learn more about this concept here:

https://brainly.com/question/4505098

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Answer:

2 · x² - 20

Step-by-step explanation:

2x - 5 · x + 4

2x · x - 20

2x² - 20

2 · x² - 20