Write the slope-intercept form of the equation of the line that is perpendicular to and passes through Point X. Show all work for full credit.

Answer:

-14

Step-by-step explanation:

let the number= X

from the statement,

(X+6)×2 = X - 2

open bracket

2X +12 = X- 2

2X-X = -2-12

X = -14

28/2= 14 42/2= 21 35/7= 5

14/ 2= 7 21/3= 7

28= 2^2 × 7

42= 2 × 3 × 7

35= 7 × 5

LCM= 420

48/2= 24. 72/2= 36. 96/3= 32

24/2= 12. 36/3= 12. 32/2= 16

12/3= 4. 12/3= 4. 16/2= 8

4/2= 2. 4/2= 2. 8/2= 4

4/2= 2

48= 2^4 × 3

72= 2^3 × 3^2

96= 2^5 × 3

LCM= 288

36/3= 12. 44/2= 22

12/3= 4. 22/2= 11

4/2= 2

36= 3^2 × 2^2

44= 2^2 × 11

LCM= 396

Answer:

The answer is in the attachment

Step-by-step explanation:

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The first part of the second step to prove the sequence is to prove that Sn is valid for n = k + 1, Option D is correct.

Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.

The sum of geometric sequence is given as,

[tex]s_n=\dfrac{r^n-1}{r-1}[/tex]

Here, a is the first term of the sequence, n is total terms and r is the common ratio.

The given equation which need to be proved is,

[tex]S_n= 1 + 2 + 4 +. ...+ 2n - 1 = 2n - 1[/tex]

This can be proved by induction method. This can be done by induction method with two steps:

Thus, the first part of the second step to prove the sequence is to prove that Sn is valid for n = k + 1, Option D is correct.

Learn more about the geometric sequence here;

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Y = 2.9

Or

X= 2.9, y= - 0.9

Hope this helps!

Answer:

Factors of 56: 1, 2, 4, 7, 8, 14, 28 and 56

Prime Factorization of 56: 56 = 23 × 7

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) 147

b)147

c) 152

d)65

Answer:

a) mean = 147

b) median = 147

c) mode = 152

d) range = 65

Step-by-step explanation:

firsly let’s arrange the numbers of the set in ascending order:

117 , 119 , 138 , 142 , 152 , 152 , 174 , 182

a)

[tex]Mean = \frac{117+119+138+142+152+152+174+182}{8} =\frac{1176}{8} =147[/tex]

b) the median is the average of the two middle numbers :

[tex]117,119,138, \frac{142,152}{} , 152,174,182[/tex]

[tex]median=\frac{142+152}{2}= 147[/tex]

c) the modal height is 152 because 152 is the value that appears most frequently (2 times) in our set

d) the range of a set is the difference between the highest and lowest numbers :

Then

the range = 182-117 = 65

Answer:

A. 45°

Step-by-step explanation:

When we are given two measurements of interior angles we add both of those angles together.

Also know that a triangle equals 180 degrees

So when we write out this expression     [tex]80+55+x=180[/tex]

[tex]135+x=180\\-135=-135\\x=45[/tex]

Hope this helps

Answer:

4900

Step-by-step explanation:

You multiply lengthxwidthxheight, all the given dimensions to get (25x14x14) 4900

Answer:

3215.36 ft^2.

Step-by-step explanation:

Area = 3.14 * r^2

= 3.14 * 32^2

= 3215.36 ft^2.

[tex]~~-5=a-3\\\\\implies a =-5+3\\\\\implies a = -2[/tex]

Applying the law of cosine, b² = a² + c² - 2ac(cos B), the length of AC of the marsh, to one decimal place, is: 522.1 meters

The Law of Cosine is given as, b² = a² + c² - 2ac(cos B).

From the diagram given, we have the following:

Plug in the values into the law of cosine formula:

b² = 220² + 420² - 2(220)(420)(cos 105)

b² = 272,629.8

b = √272,629.8

b = 522.1 meters. (Length of AC of the marsh)

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Answer:   3 2/9

Step-by-step explanation:

It would be the numbers exact form. Not totally sure but it would be my best guess.

answer:

the probability of choosing a gray button is 3/5

after putting it back the probability remains the same, so 3/5 for both answers

Answer:

[tex]\sf \dfrac{3}{10}[/tex] = 0.3 - 30%

Step-by-step explanation:

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

Given:

[tex]\sf P(gray) = \dfrac35[/tex]

If the button is not replaced, there are now:

[tex]\sf P(gray) = \dfrac24=\dfrac12[/tex]

Therefore,

[tex]\sf P(gray)\:AND\:P(gray)= \dfrac35 \times \dfrac12=\dfrac{3}{10}[/tex]

Answer:

81.1 in

Step-by-step explanation:

To find the surface area of a triangular prism:

Find the base area and the remaining 3 rectangles and add them all together.

1.5*2=3 (base of the shape)

2*13=26

1.5*13=19.6

2.5*13=32.5

3+26+19.6+32.5=81.1

Answer:

Let's find the number of arrangements with mother and father together, say N & then subtract it from total number of arrangements.

Total arrangements = 6! = 720.

Now, as mother & father are together, let's treat mother and father as a single person. Now, there're 5 persons.

Number of arrangements in this way = 5! = 120.

But mother and father can change their places in 2! = 2 ways.

N = 120 × 2 = 240.

Ans. = 720-240 = 480.

Step-by-step explanation:

Answer:

400

Step-by-step explanation:

8% of 5000 is 400. Math:

5000 x 0.08 = 400

Answer:

8

Step-by-step explanation:

5 - (-3) is like adding 5 + 3 which is 8

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Answer:

8

Step-by-step explanation:

Answer:

0.067

Step-by-step explanation:

We just move 0.67's decimal point to the right by one since we are dividing by 10.

0.67 / 10 = 0.067

Give (✿◕‿◕✿)

Step-by-step explanation: 130

[tex]g(n) = 3n + 1[/tex]

[tex]h(n) = 4n + 3[/tex]

[tex](goh) (n)= g(h(n))[/tex]

[tex] = g(4n + 3) = 3(4n + 3) + 1[/tex]

[tex] = 12n + 9 + 1 = 12n + 10[/tex]

Therfore

[tex](gof)(n) = 12n + 10[/tex]

Now

[tex](gof)(10) = 12(10) + 10 = 120 + 10 = 130[/tex]

[tex](gof)(10) = 130[/tex]

I hope it helped you

Step-by-step explanation:

g(n) × h(n)

=(3n+1)(4n+3)

= 12n² +9n +4n +3

= 12n² +13n + 3

then sub 10 in place of n

12n² +13n + 3

= 12(10)²+13(10)+3

=1200+130+3

=1333

Answer: 100% is 10 times as great as 10%

Step-by-step explanation: 10 * 10 = 100 or 100 divided by 10 equals 10. Have a nice day~

Answer:

um.....10

Step-by-step explanation:

100% (1) ÷ 10% (0.10) = 10

[tex]Hope[/tex] [tex]this[/tex] [tex]helps![/tex] [tex]Have[/tex] [tex]a[/tex] [tex]great[/tex] [tex]day![/tex] [tex]:)[/tex]

Divide the restocking fee by the price of the item:

12/200 = 0.06

9/150 = 0.06

Multiply by 100 to get the percent:

0.06 x 100 = 6%

Answer: 6%

Answer:

3

Step-by-step explanation:

The value of y in point C is 0. So, C is located at (2, 0) in the Cartesian plane.

Given that a parallelogram ABCD is shown in the Cartesian plane.

The points are:

A = (-1, 2)

B = (2, 3)

C = (2, y)

D = (-1, -1)

We are asked to find the value of y in the point C.

To find the value of y in point C, we can use the fact that the slope of line AB is equal to the slope of line DC, and the slope of line BC is equal to the slope of line DA.

The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by:

slope = (y₂ - y₁) / (x₂ - x₁)

Let's calculate the slope of line AB and DC:

Slope of AB = (3 - 2) / (2 - (-1))

= 1 / 3

∴ Slope of DC = 1 / 3.

So,

1/3 = (y+1) / (2+1)

1/3 = (y + 1) / 3

y + 1 = 1

y = 0

Hence, we get the value of y in point C is 0.

[Note:- you can simply look at the graph and can determine the location of the point C]

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Answer:

The answer is X equals 12

Step-by-step explanation:

I hope you get it right!

Answer:

1/2x + 1/3

Step-by-step explanation:

1/2x + 1/3

Answer:

90.93%

Step-by-step explanation:

It is clear that the table is a linear function. That is, every hour, the amount of corn increases by the same amount. You can find the slope of the linear function by using the slope formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

In your case, the number comes out to be 825. So the number of corn will be 825*10 = 8250 cu ft.

Now, we know that the volume is area times height. So if the area is pi * r * r, then the volume of the shape is 2888*pi.

Therefore, the answer is 8250/2888*pi or 90.93%.

Answer: 28

Step-by-step explanation: