Solve for x in the equation X2 - 10x+ 25 = 35.

X=5+2V6
X=5+ 35
x= 10+2.5
x= 10+ V35

Answer:

20

Step-by-step explanation:

The pattern goes

+3, +4, +5, +6, +7...

14+6=20

The missing number is 20

Answer:

-32

Step-by-step explanation:

Let the number be x.

\(2(x+8)=-48 \\ \\ x+8=-24 \\ \\ x=-32\)

The Lakewood Times had a 30.4% increase in the number of subscribers after it was bought out.

What is the percentage increase?

Percent increase is a way of measuring how much something has increased relative to its original value. It is expressed as a percentage, and it is calculated by taking the difference between the new value and the original value, and then dividing that difference by the original value, and then multiplying by 100.

Formula: % increase = (new value - original value) / original value x 100

To find the percent increase, you can use the formula:

% increase = (new value - old value) / old value x 100

In this case, the percent increase would be:

% increase = (6201 - 4770) / 4770 x 100 = 30.4%

Hence, The Lakewood Times had a 30.4% increase in the number of subscribers after it was bought out.

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Answer:

Step-by-step explanation:

10 divided by 50

\( = \frac{10}{50} \)

\( = \frac{1}{5} \)

= 0.2 (Ans)

0.2 is the correct answer

Answer:

? = 27

Step-by-step explanation:

56 + ? + 11 = 94

? + 67 = 94

? = 27

Answer:

Not a function

Step-by-step explanation:

If you were to graph it, these would fail the vertical line test.

Answer:

boxers get injured but it is good to have some security on your fist and for those who do do boxing it's nice to have some security

Answer:

a

Step-by-step explanation:

In this manner, the number of wolves changes by around 8 percentage 8% each year based on the given work.

To determine the percentage change within the number of wolves each year, we ought to look at the development rate of the work w(x) = 14 * 1.08^x.

The development rate in this case is given by the example of 1.08, which speaks to the figure by which the number of wolves increments each year. In this work, the coefficient 1.08 speaks to a development rate of 8% per year.

To calculate the percentage change, we subtract 1 from the growth rate and increase by 100 to change over it to a rate:

Percentage change = (1.08 - 1) * 100 = 0.08 * 100 = 8%.

In this manner, the number of wolves changes by around 8 percentage 8% each year based on the given work.

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As given that there are 14 bands have volunteered to perform but there is only enough time for 5 bands to play.

So the total lineups are:

So the total lineups are 240240.

Answer:

x = 13

Step-by-step explanation:

We know that 5x, x+12, and 90 makes a straight line, which is 180 degrees

5x + x+12 + 90 = 180

Combine like terms.

6x+102=180

Subtract 102 from each side.

6x+102-102=180-102

6x = 78

Divide each side by 6

6x/6 = 78/6

x = 13

Answer:

x = 13

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

We know that,

→ The angle of right angle is 90°.

Forming the equation,

→ (x + 12)° + (5x)° = 90°

Then the value of x will be,

→ (x + 12)° + (5x)° = 90°

→ x + 12 + 5x = 90

→ (x + 5x) + 12 = 90

→ 6x + 12 = 90

→ 6x = 90 - 12

→ 6x = 78

→ x = 78 ÷ 6

→ [ x = 13 ]

Hence, the value of x is 13.

The estimated raw material Inventory balance at the end of July is $27,750.

The estimated raw material inventory balance at the end of July, we need to follow the given information and calculations:

a. Each unit of finished goods requires 5 pounds of raw materials. Therefore, the total raw materials needed for production in August can be calculated as follows:

23,000 units (budgeted unit sales for September) × 5 pounds/unit = 115,000 pounds

b. The ending raw materials inventory equals 10% of the following month's raw materials production. Based on the information provided, the estimated raw materials needed to meet production in August is 111,000 pounds.

111,000 pounds × 0.10 (10%) = 11,100 pounds

This means that the ending raw materials inventory for July should be 11,100 pounds.

c. The cost of raw materials is $2.50 per pound. To find the value of the raw material inventory at the end of July, we multiply the pounds by the cost per pound:

11,100 pounds × $2.50/pound = $27,750

Therefore, the estimated raw material inventory balance at the end of July is $27,750.

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Answer: 9 because of the (0,9)

Step-by-step explanation:

The side length of the cube is 5.6 feet (rounded to the nearest tenth).

We can calculate the side length of a cube with a volume of 141 cubic feet using the formula for cube volume , which is \(V = s^3\), where V is the volume and s is the side length.

We can calculate s by taking the cube root of both sides of the equation:

\(s = (V)^{(1/3)\)

Substituting V = 141, we get:

\(s = (141)^{(1/3)\)

By using a calculator to evaluate this expression, we may determine:

s ≈ 5.6

As a result, the cube's side length is roughly 5.6 feet (rounded to the closest tenth). This indicates that if we increase the side length by three, it will become longer. (\(s^3\)), we will get the volume of the cube, which is 141 cubic feet.

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The angle of NPR is 130°

First, set up an equation to find x.

\((3x-10)+2x+65=180\)

Then, solve the equation for x.

\(x=25\)

Then, substitute 25 in for x in 2x

50

Finally, subtract 50 from 180 to find the angle of NPR

130°

Answer:

The equation of the axis of symmetry of this quadratic graph is x = 4.

The correct answer is c: Two terms are even, then two terms are odd. This pattern follows the rule of adding 2, so each successive term is an even number followed by an odd number.

Number is a mathematical object used to count, measure and represent a quantity. It is used to symbolize a numerical quantity or value, and is used in various ways in mathematics, science, engineering, finance and other fields. Numbers are also used to represent relationships between objects, such as the number of sides in a triangle or the number of students in a classroom.

This alternating pattern of even and odd terms is a feature of the pattern, with two terms being even followed by two terms being odd. This pattern continues as the terms increase, with the even terms adding 2 and the odd terms adding 2 as well. This pattern is a good way to remember a sequence of numbers and can be used to help understand patterns in mathematics.

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The polynomials completely factorized have the following expressions;

50). x³ - 3x² - 26x - 12 = (x - 6)(x + 1)(x + 2)

51). x³ - 12x² + 12x + 80 = (x - 10)(x + 2)(x - 4)

52). x³ - 18x² + 95x + 126 = (x - 9)(x - 2)(x - 7)

53). x³ - x² + 21x + 45 = (x + 5)(x - 3)(x - 3)

For the polynomial x³ - 3x² - 26x - 12 divisible by x - 6;

(x³ - 3x² - 26x - 12)/(x - 6) = x² + 3x + 2

x² + 3x + 2 = (x + 1)(x + 2)

so;

x³ - 3x² - 26x - 12 = (x - 6)(x + 1)(x + 2)

For the polynomial x³ - 12x² + 12x + 80 divisible by x - 10;

(x³ - 12x² + 12x + 80)/(x - 10) = x² - 2x - 8

x² - 2x - 8 = (x + 2)(x - 4)

so;

x³ - 12x² + 12x + 80 = (x - 10)(x + 2)(x - 4)

For the polynomial x³ - 18x² + 95x + 126 divisible by x - 9;

(x³ - 12x² + 12x + 80)/(x - 9) = x² - 9x + 14

x² - 9x + 14 = (x - 2)(x - 7)

so;

x³ - 18x² + 95x + 126 = (x - 9)(x - 2)(x - 7)

For the polynomial x³ - x² + 21x + 45 divisible by x + 5;

(x³ - x² + 21x + 45)/(x + 5) = x² - 6x + 9

x² - 6x + 9 = (x - 3)(x - 3)

so;

x³ - x² + 21x + 45 = (x + 5)(x - 3)(x - 3)

Therefore, by complete factorization the expressions (x - 6)(x + 1)(x + 2), (x - 10)(x + 2)(x - 4), (x - 9)(x - 2)(x - 7), and (x + 5)(x - 3)(x - 3) are the factors of their respective polynomial.

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The values of x and m∠R are 15 and 50 respectively.

From the information given, we have the following parameters;

Now, let's equate the angles

m ∠ R  = m ∠ S

3x + 5 = 5x - 25

collect like terms

3x - 5x = -25 - 5

subtract like terms

-2x = - 20

Make 'x' the subject

x = -30/ -2

x = 15

But m ∠ R = 3x + 5 = 3(15) + 5 = 45 + 5  = 50

Thus, the values of x and m∠R are 15 and 50 respectively.

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Answer:

a) 120

b) 6

c) 1/20

Step-by-step explanation:

a) 5! = 120

b) (5 - 2)! = 6

c) 6/120 = 1/20

Using proportions, it is found that:

a) 36 pages should be of advertising and 12 pages should be of news stories.

b) 20 pages should be of retail advertising, 12 pages should be of national advertising and 4 pages should be of classified advertising.

c) $450,000 was earned by retail advertising, $270,000 was earned by national advertising and $90,000 was earned by classified advertising.

d) You will receive a bonus of $14,400 for last year's sales.

A proportion is a fraction of a total amount, and equations can be built to find the measures using a rule of three, that can be either direct or inverse, deriving from proportional relationships.

One example of application is for ratio problems, as fractions of the total amount are built from the ratios, as given in this problem.

For item a, we have that three times as much advertising as news stories are needed, hence 3/4 of the 48 pages are advertising, hence:

3/4 x 48 = 0.75 x 48 = 36.

Hence:

The remaining 12 are of news stories.

For item b, from the ratio of 5 to 3 to 1, we have that:

Hence:

In item c, from the same ratio as above, the advertising values are found as follows:

For item d, the bonus is calculated as follows:

1/50(450,000 + 90,000) + 1/75(270,000) = $14,400.

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Solution

Then it means that 200 Americans is a sample

A sample is just a part of a population

Answer:

2*2*3*3*5*5.

Step-by-step explanation:

2) 900

2)450

3)225

3(75

5)25

5)5

  = 1

So the prime factors are 2*2*3*3*5*5

\(6i~~ + ~~2\sqrt{3}j\implies < \stackrel{a}{6}~~,~~\stackrel{b}{2\sqrt{3}} > \\\\[-0.35em] ~\dotfill\\\\ \stackrel{magnitude}{\sqrt{a^2+b^2}}\implies \sqrt{6^2+(2\sqrt{3})^2}\implies \sqrt{36+(2^2\cdot 3)}\implies \sqrt{36+12}\implies \sqrt{48} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{direction}{tan^{-1}\left( \cfrac{b}{a}\right)}\implies tan^{-1}\left( \cfrac{2\sqrt{3}}{6} \right)\implies tan^{-1}\left( \cfrac{\sqrt{3}}{3} \right) \\\\\\ tan^{-1}\left( \cfrac{1}{\sqrt{3}} \right)\implies 30^o\)

Answer:

71.54km/hr

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation: