The sequence 2, 9, 20, 35, … is illustrated in the art below. What is the 50th term of this sequence?

Step-by-step explanation: When numbering the pages of a book, which has 1,150 pages, we need: 9 one-digit numbers (from 1 – 9);90 two-digit numbers (from 10 – 99);900 three-digit numbers (from 100 – 999);151 four-digit numbers (from 1,000 – 1,150).

The total amount of digits you need to number a book of 1150 pages will be 3493 digits.

It is described as the process through which we add, subtract, multiply, and divide numerical values. It has the fundamental operators +, -, and.

There are pages for the digits totaling,

Single digits : (1 - 9) = 9 pages

Double digits : (10 - 99) = 90 pages

Triple digits : (100 - 999) = 900 pages

Four digits : (1000 - 1150) = 151 pages

By summing all digit counts such as, one may determine the total number of digits.

= (9 + 180 + 2700 + 604)

= 3493 digits.

Thus, the total amount of digits you need to number a book of 1150 pages will be 3493 digits.

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The volume of a box is the amount of space in the box.

The expressions that can represent the length and the width are: [tex]\mathbf{(2x - 1)\ and\ (x + 3)}[/tex]

The volume is given as:

[tex]\mathbf{V(x) =2x^3 + 5x^2 - 3x}[/tex]

Divide through by height (i.e x), to get the base area

[tex]\mathbf{A(x) =2x^2 + 5x - 3}[/tex]

Expand

[tex]\mathbf{A(x) =2x^2 + 6x - x - 3}[/tex]

Factorize

[tex]\mathbf{A(x) =2x(x + 3) - 1(x + 3)}[/tex]

Factor out x + 3

[tex]\mathbf{A(x) =(2x - 1) (x + 3)}[/tex]

Hence, the expressions that can represent the length and the width are: [tex]\mathbf{(2x - 1)\ and\ (x + 3)}[/tex]

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Answer:

y = (-1/4)x + 2.5

Step-by-step explanation:

-2,3

2,2

Answer:

So, I cannot answer the whole question, but I can give you my thought process. SO, since you need to feed 40 people with a quarter of each meal - you would need 10 pounds of each dish. Therefore the information about the "least amount" of each dish is met. As mentioned, x = pounds of pasta salad, while y = pounds of fruit salad. this means x would equal 10 and y would equal 10. In order to find out what it would cost is:

2.50 x 10 = 25 ($25)

3.75 x 10 = 37.5 ($37.50)

the function could possibly be f=10+10?

The maximum amount of food you should buy would be 20 pounds of food, considering you need to have enough for each guest.

You should buy 10 pounds or $25 worth of pasta salad, and 10 pounds, or $37.50 worth of fruit salad.

Answer:

[tex]-\frac{2}{15}[/tex]

Step-by-step explanation:

   [tex]\frac{2-\left|-\frac{2}{3}-2\left(-\frac{1}{5}\right)\right|}{-13}[/tex]

[tex]\mathrm{Apply\:rule}:\quad \:-a\left(-b\right)=ab[/tex]

[tex]-2\left(-\frac{1}{5}\right)=2\cdot \frac{1}{5}[/tex]

[tex]=\frac{2-\left|-\frac{2}{3}+2\cdot \frac{1}{5}\right|}{-13}[/tex]

[tex]-\frac{2}{3}+2*\frac{1}{5}=-\frac{4}{15}[/tex]

[tex]=\frac{2-\left|-\frac{4}{15}\right|}{-13}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{-b}=-\frac{a}{b}[/tex]

[tex]=-\frac{2-\left|-\frac{4}{15}\right|}{13}[/tex]

[tex]Simplify\;2-|-\frac{4}{15}|:\frac{26}{15}[/tex]

[tex]=-\frac{\frac{26}{15}}{13}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{\frac{a}{b}}{c}=\frac{a}{b\cdot \:c}[/tex]

[tex]\frac{\frac{26}{15}}{13}=\frac{26}{15\cdot \:13}[/tex]

[tex]=-\frac{26}{15\cdot \:13}[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:15\cdot \:13=195[/tex]

[tex]=-\frac{26}{195}[/tex]

[tex]Cancel-\frac{26}{195}:-\frac{2}{15}[/tex]

Answer = -2/15

[RevyBreeze]

Answer:

Step-by-step explanation:

for the first one, solve by using the equation

180 = 43 + (x) + (x + 39)

137= x + x + 39

98 = 2x

x = 49

x + 39 = 88

for the second one, 5 and 7 are vertical angles, which are the two equal angles on opposite ends of an intersection. This means the answer is E.

for the third one, to find the exterior angle, you have to find that last angle inside the triangle. that means subtracting 85 and 65 from 180 to get 30. Now, subtract that 30 from 180 to get the exterior angle c. Straight lines are 180 degrees, so by finding that other angle and subtracting it from the total 180, you find the exterior angle. The exterior angle c is 150 degrees.

Answer:  4*(-3x +0.6y - 12)

Step-by-step explanation:

-12x+2.4y-48

Factor out 4

4*((-12x/4)+(2.4/4)y-(48/4)

4*(-3x +0.6y - 12)

Answer:

-24/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) Line h has a positive slope . True

   Direction is upward. so, it has positive slope.

2) Line g has a y-intercept of 2. True

Yes, line g intersect at y-axis at (0,2).

5) Line s and line g has negative slope.True.

Direction of the slope is downward.

6) Line h is steeper than line r .True

#13

#14

#15

#16 is not clear

Answer:

2 more?

Step-by-step explanation:

Answer:

201

Step-by-step explanation:

As the distance from Kendal to Hereford is given 201

Answer:

135

Step-by-step explanation:

a = 45    {Vertically opposite angles}

b =  a      {p //q , Corresponding angles are equal}

b = 45

x+y + b = 180   {Angle sum property of triangle}

x + y + 45 = 180

        x + y = 180 - 45

x + y  = 135

Answer:

bottom right is the answer or d if

a b

c d

Step-by-step explanation:

Answer:

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Answer:

discreet

Step-by-step explanation:

If a function is discrete, it does not include all of the values between two given numbers, but rather only specific values in a particular range

Answer:

z = 82°

x = 7°

Step-by-step explanation:

180° - 82° = 98° + 7°

= 105° ÷ 15

= 7°

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Answer:

slope of line g = -9/4

Step-by-step explanation:

Perpendicular lines have negative reciprocal slopes:

m1 × m2 = -1  or  [tex]m1 = -\frac{1}{m2}[/tex]

If the slope of line f  = 4/9, as given the linear equation, y = 4/9x + 3/2, then the slope of line g must be -9/4. Because if you multiply both slopes, the product will be -1:

Let m1 = slope of line f = 4/9

m2 = slope of line g = -9/4

m1 × m2 = -1  

[tex](\frac{4}{9}) (- \frac{9}{4})[/tex] = -1

Therefore, the slope line g = -9/4.

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Answer:

» B. pq - 5 / 3

Step-by-step explanation:

Given Equation :

• (5pq - 25) ÷ 15

• Divide by 5 all terms

• pq - 5 / 3

How many dekameters are in 225 millimeters? Use the metric table to help answer the question.Metric Tablekilo-hecto-deka-unitdeci-centi-milli-1,0001001010.10.010.001

Answer:

y = -3x+4

Step-by-step explanation:

y = -3x+b

7=-3(-1)+b

7=3+b

4=b

Answer:

I think it is 2.

Step-by-step explanation:

Answer:

The quotient would be 1693

When 8465 is divided by 5, the quotient is 1693. The quotient of a fraction is the whole number obtained when the fraction is simplified.

Therefore,

To sum up, 8465/5 = 1693.

It is a whole number with no fractional part.

As division with remainder the result of

= 8465 ÷ 5

= 1693

When 8465 is divided by 5, the quotient is 1693

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Answer:

X = - 54

Step-by-step explanation:

6 + x = - 48

x = - 48 - 6

Answer: 7

Step-by-step explanation: 13 - 6 = 7

Answer:

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