Guess the rule and add the next number in the sequence.
1 6 16 31 51

Answer:

14 mm

Step-by-step explanation:

Just write down the answer.

Answer:

28mm

Step-by-step explanation:

is the right answer

Answer:

x-intercept = 2

y-intercept = 6

Step-by-step explanation:

x-intercept:  6x = 12;  x = 2

y-intercept:  2y = 12;  y = 6

Answer:

Range = [0, ∞)

Step-by-step explanation:

Range is the y-values

For this question y starts at 0 and just continually goes up so:

Range = [0, ∞)

Answer:5.7

Step-by-step explanation:

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The distance between the point Q and the ground is h-[L cos(80°)].

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The Base is the adjacent smaller side of the angle θ.

Let the height of the support be h and the height between the point q and the ground is x. Also, the distance between point Q and the support of the seesaw is L.

Now if we look at the ΔQAR, the measure of the ∠QRA is 80°, therefore, the sine of ∠QRA can be written as,

[tex]\rm Cos(\theta)=\dfrac{Base}{Perpendicular}\\\\Cos(\angle QRA) = \dfrac{AR}{QR}\\\\Cos(\angle QRA) = \dfrac{h-x}{L}\\\\L \times Cos(80^o)=h-x\\\\x=h-[L\ Cos(80^o)][/tex]

Hence, the distance between the point Q and the ground is h-[L cos(80°)].

Learn more about Tangent (Tanθ):

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Answer:

a(10) = 170

Step-by-step explanation:

Given that,

The nth term fo the sequence is :

a(n) =  n² + 7n

We need to find the 10th term of the sequence.

Put n = 10 in the above sequence,

a(10) =  (10)² + 7(10)

= 100 + 70

= 170

So, the 10th term of the sequence is 170.

Answer:

30

Step-by-step explanation:

30

The mean, median, and mode of the given monthly salary is 1794, 1790, and 1940, respectively.

Measures of central tendency assist in the discovery of a data set's middle, or average. The mode, median, and mean are the three most popular metrics of central tendency.

Mode: It is the most common value in a given data set.

Median: In an ordered data set, the median is the number in the middle.

Mean: It is the total number of values divided by the sum of all values.

For the given data, the mean, median and the mode of the data can be found as shown below,

Sum of the Observations

= 1940 + 1660 + 1860 + 2100 + 1720 + 1540 + 1760 + 1940 + 1820 + 1600

= 17940

Number of Observations = 10

The mean of the data is,

Mean = Sum of Observations / Number of Observations

          = 17940 / 10  
          = 1794

The median of the data can be found by arranging the data in an order first. Therefore, the data can be arranged as,

The median of the data is,

Median = (Sum of the two mid values) / 2

             = (1760 + 1820) / 2

             = 1790

The mode of the data is 1940, since this is repeated twice.

b.

If the salary of each employee is increased by 5% that means that the value of each observation in the data will increase by 5%. Therefore, The raise increases the mean, median, and mode by 5% each.

c.

As it is now required to find the mean, median, and mode of the annual salary; there is a need to multiply the monthly salary of each employee by 12. Therefore, the value of each observation will be 12 times its original value. These values are 12 times the mean median, and mode of the monthly salaries.

Learn more about the Central Tendency here:

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#SPJ3

Answer: b

Step-by-step explanation: When you rotate it around the axis (think of it as a pole) it will become a cylinder with radius 5

Answer:

(x+2)^2 + (y+2)^2 = 0.75^2

Step-by-step explanation:

equation of a circle in standard form: (x-h)^2 + (y-k)^2 = r^2

center: (-2, -2)

radius: 0.75

equation of the circle in provided graph: (x+2)^2 + (y+2)^2 = 0.75^2

Answer:

1/5x12 and 12/5

Step-by-step explanation:

both are dividing by five or equal to 2.4 which is the same as 1/5 of 12

Answer Of means to multiply so two correct answer would be B,D  

Step-by-step explanation: hope this helps :)

Answer:

Slope is -5/3

Step-by-step explanation: when you look at the graph, the line is descending meaning it will be a negative, so we can eliminate the answers that are positive leaving us with 2 options. Then we have to do rise/run, you figure that out by counting how many points the line goes up and to the right or left, and intersects with the line

The shape that best describes the vertical cross-section of the cylinder is given by: Option B: Rectangle.

When you slice a given object vertically (perpendicular to the ground level), then the sliced surface is called vertical cross section.

For a cylinder, usually it sits on its base and we take a right circular cylinder. When we slice it vertically, we obtain a rectangle, as shown in the figure attached below.

It can be proven that this shape is always going to be rectangular.

Thus, the shape that best describes the vertical cross-section of the cylinder is given by: Option B: Rectangle.

Learn more about vertical cross section here:

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Answer:

The amount earned for the week=$110

Amount earned from commission =$30

Step-by-step explanation:

commission earned on sales = $200×15%= $30

total amount for the week=$80 +$30= $110

Answer:

$30

Step-by-step explanation:

1 person = $ 2

18 person = 2 × 18 = $36

winner = $6

profit = 36 - 6 = $30

Answer:

a definitely, and maybe e, im not sure

Step-by-step explanation:

let me know if it was right

Answer:

no

Step-by-step explanation:

no because its equal to 2x+10

Answer:

gg

Step-by-step explanation:

gfg

Answer:

The length is APPROXIMATELY equal to 12.4.

Step-by-step explanation:

Use the converse of the Pythagorean Theorem ([tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex] [where "c" is both the longest side and the hypotenuse]) since a rectangle's diagonals will always cut it into two right triangles:

[tex]13^{2} = 169[/tex]

[tex]4^{2} =16[/tex]

169-16=153.

[tex]\sqrt{153}[/tex] ≈ 12

or

[tex]\sqrt{153}=12.36931688[/tex]

or if the problem has to be exact (using radicals)

3*[tex]\sqrt{17}[/tex]

I hope this helps ;)

Answer:

b, d, and f are 70°. a, c, g, and e are 110°

Step-by-step explanation:

SA= 2 (4)(5) + 2(5)(9) + 2(4)(9)

SA= 202in^2

If the box contains confetti, how much cubic inches of confetti are needed to fill the box?

V= lwh

= 4*5*9

= 180 in^3

Answer:

18

Step-by-step explanation:

This is actually pretty easy. Keep this in mind.

There are 34 total students. 16 of them like bananas and the rest like apples. All you really need to do is count up from 16 to 34 to find the answer.

The simple equation for this is: 34-16

Thus, the answer is 18.

Answer:

About $9360

Step-by-step explanation:

There's about 52 weeks in one year, so if you multiply 52 by your weekly gain, your annual income will be approximately $9360.

I hope this is helpful ^^

Answer:

Step-by-step explanation:

10^7 = 1 and 7 zeros after it.

=> 10000000

Answer:

2/11

Step-by-step explanation:

Let's say x = 0.18181818..

Then, 100x = 18.1818181....

so, if you put x in the repeating decimal in 18.1818,

you get the equation,

100x = 18+x

so, 99x = 18

x = 18/99 = 2/11

Answer:

18/100 = 9/50

Answer is 9/50

Do you really think you’re going to give me brainliest lol

Answer:

4 units

Step-by-step explanation:

5+3=8

12-8=4

Answer:

each rope should be 1 1/7 yard long

Step-by-step explanation:

9 1/7 ÷8

1 1/7

Answer:

8/7 yd per piece

Step-by-step explanation:

To answer this, divide the total rope length 9 1/7 yd by 8 pieces:

 64 yd

------------------ = 8/7 yd per piece

7(8 pieces)

Check:  does 8 times (8/7 yd/piece) come out to 64/7 yd, or 9 1/7 yd?  YES

Answer:

(1, 2.5 (or 3/2))

Step-by-step explanation:

It's the point the two lines meet