What is the value of K?
O k = 28
Ok= 29
Ok= 31
Ok = 42

Answer:

AC 5

AB = 3

Step-by-step explanation:

AC = distance between the points

C-A = 3 - -2 = 3+2 = 5

The distance is 5

AB = distance between the points

B-A = 1 - -2 = 1+2 = 3

The distance is 3

Answer:

AC = 5

AB = 3

Step-by-step explanation:

AC:

3 - X = -2

3 - 5 = -2

AB:

1 - X = -2

1 - 3 = -2

Answer:

22 people

Step-by-step explanation:

Sean has 2 3/4 candy bars. That is 11/4 candy bars.

He wants to give out 1/8 candy bars.

The number of people that will get candy is:

[tex]\frac{11}{4} / \frac{1}{8}\\ \\= \frac{\frac{11}{4} }{\frac{1}{8}} \\\\\frac{11}{4} * \frac{8}{1} \\\\22[/tex]

22 people can get candy.

Answer:

22 people will get candy

Step-by-step explanation:

it's correct because I got it from khan academy

Answer:

aₙ=23 - 8n

Step-by-step explanation:

15, 7, -1,....

AP with the first term of 15 and common difference  -8

aₙ=a₁+(n-1)d= 15+(n-1)*(-8)= 15 -8n +8= 23 - 8n

aₙ=23 - 8n

Answer:

5th term of sequence = -18

nth term of the sequence = -5n + 7

Step-by-step explanation:

Difference between successive and previous term of the output,

[tex]T_{2}-T_{1}[/tex] = -3 - 2

           = -5

Similarly, [tex]T_{3}-T_{2}=-8-(-3)[/tex]

                            = -5

There is a common difference 'd' = (-5)

Therefore, the sequence formed will be an arithmetic sequence.

First term of the sequence 'a' = 2

Explicit formula of an arithmetic sequence, [tex]T_{n}[/tex] = a + (n - 1)d  [n = input value]

[tex]T_{n}[/tex] = 2 + (n - 1)(-5)

    = 2 - 5n + 5

    = -5n + 7

5th term of this sequence,

[tex]T_{5}=2+(5-1)(-5)[/tex]

    = 2 - 20

    = -18

Therefore, 5th term of sequence = -18

                  nth term of the sequence = -5n + 7

Answer:

The answer would be B.(1/36)

Given That:

x - (Rebecca's share + John's share) = 24

x - (x/3 + x/4) = 24

12x/12 - (4x / 12 + 3x / 12) = 24

5x/12 = 24

5x = 24 x 12

5x = 288

x = 57 or 58

Answer:

35

Step-by-step explanation:

2 lines are parallel if 5x-54 was equal to 3x+16 so

5x-54=3x+16

5x-3x=54+16

2x=70

x=35

Answer:

After thirty days with the mentioned use the cost of the device is R$ 507,00.

Step-by-step explanation:

We first need to calculate its total power consumption over the 30 days. Since its turned on four times a day for 2 h and 36 min each, we need to multiply this time by 4 to have the time it's turned on in a day and multiply that by 30 to calculate its total power consumption. Although, we need to convert the time from hours and minutes to only hours, to do that we divide the minutes part by 60 and sum it on the hour part. All of this is done below:

[tex]t = 2 + \frac{36}{60} = 2.6 \text{ h}[/tex]

[tex]\text{dayly time} = 4*t = 4*2.6 = 10.4 \text{ h}[/tex]

[tex]\text{monthly time} = 30*\text{dayly time} = 30*10.4 = 312\text{ h}[/tex]

[tex]\text{total power consumption} = \text{monthly time}*6500 = 312*6500\\\text{total power consumption} = 2028000 \text{ W} = 2028 \text{ kW}[/tex]

[tex]\text{total cost} = \text{total power consumption}*0.25\\\text{total cost} = 2028*0.25\\\text{total cost} = 507[/tex]

After thirty days with the mentioned use the cost of the device is R$ 507,00.

Answer:

7 kg and 35kg

Step-by-step explanation:

hope it helps

Step-by-step explanation:

Vertical angles are opposite angles formed by two intersecting lines.

The only lines that fully intersect are TSI and WSN.

Now find the opposite angles that are formed by the lines TSI and WSN.

Answer:

TSN ISW and ISN and TSW

Step-by-step explanation:

Answer:

10/9

Step-by-step explanation:

average rate of change in 0≤x≤9

=(3-(-7))/(9-0)=10/9

Answer:

The solution is 10/9

Step-by-step explanation:

Step 1: identify the right approach:

Given a function g(x) over a period of time, to find the average rate of change of g(x) over this period of time, we divide the change in g(x) by the change in x.

Step 2: Perform the calculation:

As shown in picture,

x = 0 => g(x) = -7

x = 9 => g(x) = 3

=> The change of x over interval [0, 9] is:

x_change = 9 - 0 = 9

=> The change of g(x) over interval [0, 9] is:

g(x)_change = 3 - (-7) = 10

=> The average rate (r) of change of g(x) over interval [0, 9] is:

r = g(x)_change/x_change = 10/9

Hop this helps!

:)

Answer:

16/105

Step-by-step explanation:

2/7 - 2/15 = 16/105

The answer is 16/105

please see the attached picture for full solution

hope it helps

Good luck on your assignment

Answer: 10.8

Step-by-step explanation:

We can use the Pythagorean Theorem to solve this.

a^2 + b^2 = c^2

6^2 = 36

9^2 = 81

36 + 81 = 117

square root of 117 is 10.8

Answer:

Hope this helps.

Step-by-step explanation:

So for ASA, the two triangles have to have two angles congruent, and in the middle of those angles, they have to have a line that's congruent.

For SAS, the two triangles have to have two lines congruent, and in the middle of those lines, they have to have an angle that's congruent.

For AAS, the two triangles have to have two angles congruent, but the line that's congruent has to be on the side, not in the middle.

Answer:

B and E

Step-by-step explanation:

edge 2021 (??)

What steps would you take to determine if these figures are similar? Check all that apply.

Use a scale factor of 2.

Multiply the vertices of polygon ABCD by One-half.

Translate the intermediate image 4 units down. - CORRECT

Perform two different dilations.

Reflect the intermediate image. - CORRECT

Answer:

6 pound - first one

14 - second one

$172.20 - third one

Answer:

94.88

Step-by-step explanation:

this is the right answer

Answer:

y = 3x - 9

Step-by-step explanation:

First, find the slope using y2 - y1 / x2 - x1

36 - 21 = 15

15 - 10 = 5

15/5 = 3, so the slope (m) is 3.

Now, plug into point-slope form: y - y1 = m (x - x1)

y - 21 = 3 (x - 10)

Simplify

y - 21 = 3x - 30

y = 3x - 9

I hope this helps!!

9514 1404 393

Answer:

  an infinite number

Step-by-step explanation:

In the complex plane, all of the numbers with modulus 5 form a circle of radius 5 around the origin. There are an infinite number of points on that circle.

An infinite number of complex numbers have a modulus of 5.

_________________________________

Solution,

30% of 400

= 30/100*400

=120

120 yellow water bottles were in the shipment.

Hope it helps

Good luck on your assignment

__________________________________

The linear equation of the corresponding table is y = 4x+3 which is correct option(D).

The slope of a linear function is defined as the angle of the line. It is denoted by m.

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Consider two points on a  linear function —Point 1 and Point 2. Point 1 has coordinates (x₁, y₁) and Point 2 has coordinates (x₂, y₂)

We need two of those points to come up with the equation of the corresponding line.

Solution in y-intercept form  y = mx+b

We can calculate the slope of the line using any 2 of the given points: I pick (0,3) and (3,15).

The formula for determining the slope of the line through 2 points (x₁,y₁) and (x₂,y₂) as m=(y₂-y₁)/(x₂-x₁)

By plugging in the corresponding values,

m = (15-3)/(3-0) = 12/3 = 4

Since the value of y when x is zero, i.e. the point (0,3) of the table, then the value of b is 3.

Now, Substitute the values in y = mx+b,  

y = 4x+3

Hence, the linear equation of the corresponding table is y = 4x+3.

Learn more about linear function here:

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Answer:

=4

Step-by-step explanation:

[tex]\lim _{x\to 0}\left(x^2+4\right)\\\mathrm{Plug\:in\:the\:value}\:x=0\\=0^2+4\\Simplify\\=4[/tex]

Lt  (X^2+4)

x-0

= 0^2+4

= 4

What are the limits of mathematics?

math, a limit is defined as a value that approximates the output of the specified input value of the function. Limits are important in calculus and mathematical analysis and are used to define integrals, derivatives, and continuity. In mathematics, the limit is the value that the function approaches when the input approaches a particular value.

Boundaries are essential for calculus and mathematical analysis and are used to define continuity, derivatives, and integrals. 1a: What separates, limits, or limits the age limit for junior golf. b: I pushed her body to the limit. 2a: Geographical or political boundaries. b Plural borders: Surrounded by borders: The border to the northern border they came from-John Milton.

Learn more about limits here: https://brainly.com/question/5313449

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Answer:

1/2

Step-by-step explanation:

Out of a total 12 donuts, 6 of them are maple. Assuming this ratio stays constant, the experimental probability that the next one sold is a maple donut is 6/12=1/2. Hope this helps!

Answer:

P(maple donut) = 0.5

Step-by-step explanation:

If they sold 12 donuts, of which 6 of them were Maple Donuts.

The experimental probability of donuts sold that were maple donuts is:

[tex]\frac{6}{12}=\frac{1}{2}=0.5[/tex]

Therefore donuts sold in the future, would follow this probability, so our answer is 0.5.

Answer:

27/35 is the exact answer

7/10 is an estimate

Step-by-step explanation:

4/7+2/10

Simplify the fraction

4/7+1/5

The common denominator is 35

4/7*5/5 + 1/5 *7/7

20/35 + 7/35

27/35

To estimate

4/7 is close to 1/2  

2/10 is close is 1/5

1/2 + 1/5 =

5/10 + 2/10 = 7/10

Answer:

Perimeter: 2l+2w

Area: lw

Step-by-step explanation:

Let l=length, and w=width

Answer:

For Perimeter its  2times length + 2times width

and for Area its: length times width

Hope this helps :)

Answer:

a is 1

Step-by-step explanation:

[tex]a+\dfrac{1}{a}=2[/tex]

Multiply both sides by a:

[tex]a^2+1=2a[/tex]

Move everything to one side:

[tex]a^2-2a+1=0[/tex]

Factor:

[tex](a-1)^2=0[/tex]

By the zero product rule, a is 1.

Therefore, the expression is true, because:

[tex](1)^2+\dfrac{1}{a^2}=a^4+\dfrac{1}{a^4}=1+1=2[/tex]

Hope this helps!

Answer:

The slope of a linear function. The steepness of a hill is called a slope. The same goes for the steepness of a line. The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run.

Step-by-step explanation:

make sure you mark me as briliest

Answer:

D. 2

Step-by-step explanation:

point on the graph:

slope is

slope is D. 2

Answer:

You would expect to get tails 120 times

Step-by-step explanation:

0.75 * 160 = 120

Answer:

120

Step-by-step explanation:

to find the number of times, you expect to get tails:

multiply 160 by 0.75.

you could also multiply 160 by 3/4, which is easier, but still gives the same answer.

3/4 x 160 = 3 x 40 = 120

Hope this helps.

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