the mean of this data set: (5, 8, 1, 7, 4, 3, 2, 2)= 5

Answer:2k

Step-by-step explanation:

-k+3k

-1k+3k

(-1+3)k

2k

Answer:

2k

Step-by-step explanation:

-k is the same as -1k so you can just solve it like that. Also, when adding terms with variables you just add the number in front (if they have the same variable). So -1k + 3k = 2k. Pretty much the same as -1 + 3, you just add a variable..

Using proportions, it is found that the coordinates of the desired point are (2,2).

The point C partitions the segment AB into a ratio of 3 to 2, hence:

[tex]C - A = \frac{3}{5}(B - A)[/tex]

This proportion is applied using both the x and y coordinates of the points, hence:

[tex]x - (-4) = \frac{3}{5}[6 - (-4)][/tex]

[tex]x + 4 = 6[/tex]

[tex]x = 2[/tex]

[tex]y - (-1) = \frac{3}{5}[4 - (-1)][/tex]

[tex]y + 1 = 3[/tex]

[tex]y = 2[/tex]

The coordinates of the desired point are (2,2).

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Answer:

B

Step-by-step explanation:

First of all we know b is a parrellogram, so it is b.

But also other reasons:

It can't be A because they are next to each other, in fact supplementary angles. It can't be C because it doesn't make any sense and same thing for E.

Step-by-step explanation:

csc(Theta) = 1/sin(Theta) = 3.2362

Answer:

C. 3.2362

Explanation:

Answer:

-10sin45+15cos60=Hor distance = 5.92 km

-10cos45+15sin60=ver distance = .429 km

resultant is sqrt(5.922+.4292)= 5.94 km at angle arctan(.429/5.92)= 1.77 degrees north of east

Step-by-step explanation:

Answer:

y = -2/5x - 2

Step-by-step explanation:

Answer:

y = 2/5x -2 or y = 0.4x -2

Explanation:

Step 1: Calculating Slope (m).

m =   [tex]\frac{y2-y1}{x2-x1}[/tex]

m =    [tex]\frac{0-(-2)}{5-0}[/tex]

m =  [tex]\frac{2}{5}[/tex]  

m = 0.4

Now putting value of m in equation (i)

y = 0.4x + b -----(ii)

Step 2: Calculating Y-intercept (b).

Lets choose the first point, (0,-2) for calculating y-intercept:

y = mx + b

-2 = 0.4(0) + b

-2 = 0 + b

-2 = b

b = -2

Now put the value of b in equation (ii)

y = 0.4x + -2

Answer:

A. Slope is -12 feet per second

B. Yes, it is constant.

Skills needed: Linear Equations, Substitution and Division

Step-by-step explanation:

1) Solving Part A (we need to find the slope):

2) Using the y-values of 1150 and 1090, and their corresponding x-values (5 and 10 respectively), we can get the slope:

- [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] ==> [tex]\frac{1090-1150}{10-5}[/tex] ==> [tex]1090-1150=-60, 10-5=5[/tex] ==> [tex]\frac{-60}{5}[/tex]

[tex]\frac{-60}{5} =-12[/tex], so the slope is -12.

==================================================================

1) Part B (analysis)

We can see that no matter what 2 y-values and their corresponding x values we use, the slope always is the same. This means that the rate of change is constant.

The area of the pentagon is 19 square units

The coordinates of the pentagon are given as:

[tex]T = (1, 8)[/tex]

[tex]E =(3, 8)[/tex]

[tex]X =(6, 2)[/tex]

[tex]A=(3, 2)[/tex]

[tex]S = (1, 4)[/tex]

The area of the pentagon is then calculated using:

[tex]Area = \frac 12|(x_1y_2+x_2y_3+x_3y_4+x_4y_5+x_5y_1) -(y_1x_2+y_2x_3+y_3x_4+y_4x_5+y_5x_1)|[/tex]

So, we have:

[tex]Area = \frac 12|(1 \times 8 +3 \times 2+6\times2+3 \times 4 + 1 \times 8) -(8\times3+8\times6+2\times3+2\times1+4\times1)|[/tex]

Simplify the expressions in both brackets

[tex]Area = \frac 12|46 -84|[/tex]

[tex]Area = \frac 12|-38|[/tex]

Remove absolute bracket

[tex]Area = \frac 12 \times 38[/tex]

[tex]Area = 19[/tex]

Hence, the area of the pentagon is 19 square units

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Answer:

[tex]a_{75}=-58[/tex]

Step-by-step explanation:

This is an arithmetic sequence:

[tex]a_n=a_1+(n-1)d[/tex]

where d is the common difference and n is the index of any given term.

For the given sequence, the common difference is -1:

[tex]15-16=-1\\14-15=-1[/tex]

Knowing both the common difference and the first term, you can write the equation for this sequence:

[tex]a_n=16+(n-1)(-1)[/tex]

Then you can use that equation to find the 75th term:

[tex]a_{75}=16+(75-1)(-1)\\a_{75}=16+(74)(-1)\\a_{75}=16-74\\a_{75}=-58[/tex]

Answer:

5/2

Step-by-step explanation:

To find a slope you use rise over run.

The graph shows that you rise 5 for every 2 right.

Answer: B

Step-by-step explanation: 6x represents the positive because it represents the amount being made from each ornament. The -30 represents the one-time cost of the table. And the -2.50x represents the cost of each ornament.

Answer:

4.3

im not sure

correct me if im wrong

Answer

6.7

Step-by-step explanation:

Works on acellus

Answer:

angle A=30°

angle B=60°

angle C=90°

Step-by-step explanation:

given : A=30°,C=90° the mark states it is 90°

find :C=?

A+B+C=180°

30°+90°+x°=180°

=120°+x°=180°

=120°-120°+x°=180°-120°

=x°=60°

You are given the domain and range ( the numbers in each oval):

If There is more than one arrow connected to a number, that number is listed the same amount

Domain (-4,0,6,6)

Range (12,18,18,40)

To be a function each input value ( Domain) can only have one output value (range)

Because the 6 has two different outputs ( 12, 18) this is not a function.

Answer:

The input 6 (domain) leads to two outputs thus it is not a function.

Step-by-step explanation:

Answer:

  g(x) = 24(2^(x-1)) +16

Step-by-step explanation:

A function is stretched vertically by a factor of 'a' by multiplying by 'a'.

  g(x) = 4·f(x) = 4(6(2^(x-1) +4)

  g(x) = 24(2^(x-1)) +16

Answer:

a, h and k have values 1, -5 and -10 respectively

Answer:

x + y = 21x - y = 3

Step-by-step explanation:

Answer: congruent bases

Step-by-step explanation:

what makes a trapezoid a trapezoid is that the bases are different! the side on top and bottom are different.

Answer:

you need to divide all number

Answer:

80 in2

Step-by-step explanation:

Here is my work shown in screeny

Answer:

[tex]\boxed{\sf x\ge \:-1}[/tex]

Step-by-step explanation:

[tex]\sf 4x\ge \:-4[/tex]

Divide both sides by 4:

__________________________________

What magic trick??

Are you gonna do a magic??

Sorry for a lot of questions.

Answer:

Well to solve this I’m gonna use substitution

So

2x-3y=-14

5x+9y=14

I‘m gonna isolate ”x” on the first equation

So it’ll be

2x-3y=-14

2x=-14+3y

x=-7+1.5y

X is -7+1.5y

Now you can subsitute into other equations to find what Y is worth

So lets use the second equation

5(-1+1.5y) + 9y = 14

Now solve for y which is -2

If you subsitute Y back in an equation you’d get -4 for x

So y = -2

and X= -4

Answer:

option A is the answer 2x-3

Answer:

2x-3

Step-by-step explanation:

(6x-9)/3

This can be simplified to

6x/3  - 9/3

2x -3

Answer:

A: 97/30x + 23

Answer:  P = 10x^2 +6x + 4

Step-by-step explanation:

P = R-C

R = (3x^2 - x + 6)

C = (-7x^2 -7x + 2)

P = (3x^2 - x + 6) - (-7x^2 -7x + 2)

P = 3x^2 - x + 6 + 7x^2 +7x - 2

P = 10x^2 +6x + 4

Answer:

120

Step-by-step explanation:

$11.88 rounded to the nearest tenth is 10 and there are 12 months in one year so 10 x 12 = 120

The weight of substance remaining after 13 years is 2.25 g.

Given:

Present weight of substance = 12 g

After 8 years weight remains = 6 gm

Now, weight loss in 8 year will be,

12-6=6 gm

So, weight loss in 1 year will be,

[tex]\dfrac{6}{8} =\dfrac{3}{4}[/tex]

Total weight loss in 13 year will be,

[tex]\dfrac{3}{4}\times13=9.75[/tex]

The weight of substance remaining after 13 years will be,

[tex]12- 9.75 = 2.25 \;\rm g[/tex]

Therefore, the weight of substance remaining after 13 years is 2.25 g.

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