Rule 1: Multiply by 2, then add 1/3 starting from 1. Rule 2: Add 1/2, then multiply by 4 starting from 0. What is the fourth ordered pair using the two sequences

Answer:

Solutions given:

given equation is

x²-5x-2=0

comparing above equation with ax²+bx+c,we get

a=1

b=-5

c=-2

By using quadratic equation

x=[tex] \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]

x=[tex] \frac{ 5± \sqrt{ {-5}^{2} - 4*1*-2}}{2*1} [/tex]

x=[tex] \frac{ 5± \sqrt{ 25+8}}{2*1} [/tex]

x=[tex] \frac{ 5± \sqrt{ 33 }}{2} [/tex] is a required answer.

Answer:

[tex]x=\dfrac{5 \pm \sqrt{33}}{2}[/tex]

Step-by-step explanation:

Quadratic Formula

[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]

Given equation:

[tex]x^2-5x-2=0[/tex]

Comparing the given equation with [tex]ax^2+bx+c=0[/tex] to find the values of a, b and c:

Substitute these values into the quadratic formula and solve for x:

[tex]\implies x=\dfrac{-(-5) \pm \sqrt{(-5)^2-4(1)(-2)}}{2(1)}[/tex]

[tex]\implies x=\dfrac{5 \pm \sqrt{25+8}}{2}[/tex]

[tex]\implies x=\dfrac{5 \pm \sqrt{33}}{2}[/tex]

Answer:

=20250

2.5/100*5+18000

Answer:

Trim A

Inches = 36

Feet = 3

Yards = 1

Trim B

Inches = 216

Feet = 18

Yards = 6

Answer:

d

a

Step-by-step explanation:

f(3)= 3(3)-1

f(3)=9-1=8

f(x+1)= (x+1)^2-3(x+1)+2

=x^2+2x+1-3x-3+2

=x^2-x

Answer:

Miguel used 5 1/4 pounds of clay.

Step-by-step explanation:

You have to multiply 7 * 3/4 to get the amount he used.

7/1 * 3/4 = 21/4

Now turn it into a mixed number

5 1/4

Miguel used 5 1/4 pounds of clay.

Hope this helps !!

-Ketifa

Answer:

Everything seems correct, I'm assuming you wanted confirmation

The amount he will have at the end of 3 years is $1596.55.

Option B is the correct answer.

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P [tex](1 + r/n)^{nt}[/tex]

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

We have,

P = $1220

r = 9%

n = 12

t = 3 years

Amount = P [tex](1 + r/n)^{nt}[/tex]

A = 1220 [tex](1 + 9/12)^{36}[/tex]

A = 1220 [tex](1 + 0.75)^{36}[/tex]

A = 1220 x [tex]1.75^{36}[/tex]

A = $1,596.55

Thus,

The amount after 3 years is $1596.55.

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Answer:

-0.6

Step-by-step explanation:

minus 3 divided by 5 equals minus 0.6

3x-y=-9

Step-by-step explanation:

Answer: 3x - y = - 9

Step-by-step explanation:

Re-write the equation in the following form:

3x + 9 = y

Take the y to LHS:

3x + 9 - y = 0

Now, take the 9 to the RHS:

3x - y = -9. This is your answer.

Answer:

V ≈ 5144.9 cubic units

Step-by-step explanation:

SA(sphere) = 4πr²

1156π = 4πr²

π's cancel out

1156 = 4r²

r² = 1156/4

r² = 289

r = √289

r = 17

V(sphere) = 4/3πr³

= 4/3 × π × 17³

= 4/3π × 4913

V ≈ 5144.9 cubic units

Answer:

[tex]h = -42[/tex]

Step-by-step explanation:

First, subtract 54 from both sides.

[tex]h = 4^2 - 16 \div 4 - 54[/tex]

Then, evaluate the right-hand expression using the order of operations:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

We'll first evaluate the exponent in 4²:

[tex]4^2 = 4 \times 4 = 16[/tex]

[tex]h = 16 - 16 \div 4 - 54[/tex]

Next, we can evaluate the division:

[tex]16 \div 4 = 4[/tex]

[tex]h = 16 - 4 - 54[/tex]

Finally, perform the subtraction.

[tex]16 - 4 - 54 = -42[/tex]

[tex]h = -42[/tex]

Answer:

[tex] \sf \: h = - 42[/tex]

Step-by-step explanation:

Given equation,

→ h + 54 = 4² - 16 ÷ 4

Now the value of h will be,

→ h + 54 = 4² - 16 ÷ 4

→ h + 54 = 16 - 4

→ h + 54 = 12

→ h = 12 - 54

→ [ h = -42 ]

Hence, value of h is -42.

An equation that could be used to determine the number of wreaths that Nicole could decorate using one spool of ribbon is:

                           W = S / R

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A good example of an algebraic expression is 3x2 2xy + c.

An equation that could be used to determine the number of wreaths that Nicole could decorate using one spool of ribbon is:

W = S / R

where W is the number of wreaths, S is the total length of ribbon on the spool, and R is the length of ribbon used per wreath.

Plugging in the given values, we get:

W = 20 / 2.5

Solving for W, we get:

W = 8

So Nicole could decorate 8 wreaths using one spool of ribbon.

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Answer:

your link doesn't work it just says 404

Step-by-step explanation:

Step-by-step explanation:

Let A be the sum from 100 to 300

so the sum of 97 to 298 =

A - (299+300) + 97 +98

= A - 403

Therefore , the solution of the given question triangle comes out to be

triangle PQR to triangle ZXY is 3/2

You can link any three points in a plane to form triangles, which have three sides and three angles. They were among of the first geometric forms to be examined. Since triangles may be divided into any polygon, regardless of whether it has four, five, six, or n sides, they are very significant.

Here,

Consider PR and ZY as a point of comparison.

PR = 5

ZY = 14

Suppose the scaling factor is r and that

5 * r = 14

r = 14 / 5

r = 14/5

examining other sides

RQ to PR

right 5 * 12/3 = 20

To YX, QP

Correct answer is 4 * 9/3 = 12.

Thus,

triangle PQR to triangle ZXY

Therefore , Triangle PQR to Triangle ZXY equals 3/2, which is how the given question's solution is determined.

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Spanish killed nearly 6000 Incas.

The Spanish conquistador and explorer Francisco Pizarro springs a trap on Atahualpa, the monarch of the Incas, in the year 1532. Atahualpa allowed roughly 6,000 unarmed men to attend the feast despite having almost 80,000 soldiers with him in the mountains. It took the Spanish a long time and much violence to conquer the Inca Empire. Pizarro's soldiers massacred the 6,000 Incans in approximately one hour.

The lone Spanish wounded were received by Pizarro himself, who injured his hand while saving Atahualpa's life. Pizarro retained Atahualpa in captivity while he prepared plans to conquer his empire because he understood that the emperor was worthy alive than dead. Atahualpa responded by appealing to his hostages' avarice and supplying them with money and silver in exchange for their release.

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Answer:

1. 4x3<7×3

12×2<21×2

24×4<42×4

96×9<168×9

864<1512

2. 11+3>-2+3

14+3>1+3

17_4>4-4

13>0

3. -2/leg-2

-18/leg-18

4. -4<8

0<2

Answer:

The surface area of this cuboid is 420 square inches.

Step-by-step explanation:

All we have to do is calculate each rectangle. For the width, we have 10 x 5 which is 50. Then we multiply it by 2 because we have two of those sides. Then we get 100. Then we have 11 x 5 which is 55. We multiply that by 2 and we get 110. Then we do that to the final two sides and we get 220. So the final answer if we add them all up is 420 square inches.

The number of different North Dakota license plates that can be issued is 17,576,000 plates.

For the first digit, there are 10 possibilities (0 to 9). For the second and third digits, there are also 10 possibilities each. For the first letter, there are 26 possibilities. For the second and third letters, there are also 26 possibilities each.

The total number of different license plates that can be issued is therefore:

= 10 x 10 x 10 x 26 x 26 x 26

= 1, 000 x 17, 576

= 17, 576, 000 different plates

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The measure of angles a and b is 144° and 67° respectively.

There are four sides, four vertices, and four angles in a closed quadrilateral. It has a polygonal shape. It is produced by joining four non-collinear points. The total internal angle of a quadrilateral is always 360 degrees.

The English word quadrilateral is derived from the Latin words quadra, which means four, and latus, which means sides. Each of a quadrilateral's four sides does not always have to be the same length.

Given a quadrilateral,

in which opposite sides are parallel,

so, When a transversal cuts between two parallel lines, the interior angles on the same side of the transversal are additional to 180°.

36° + a° = 180°

and 113° + b° = 180°

a° = 180° - 36° = 144°

and b° = 180° - 113°

b° = 67°

Hence the values of a° is 144° and b° is 67°.

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Answer:

y intercept:  -2

Step-by-step explanation:

hope this helps :)

Answer:

Slope=4 and the intercept on the y-axis is -2

Step-by-step explanation:

Use the formula y=mx+c

m=slope

c is the intercept on the y-axis

y=4x-2 can be like this

Y=4x+(-2)

That is why slope is 4 and intercept on y-axis is -2

:)

Answer:

$3,640

Step-by-step explanation:

8.2% as a decimal is 0.082. multiply 2000 by 0.082, and you get your interest rate/the interest you pay each year, which would be 162. multiply 162 by ten to get your interest for all ten years, since 162 was simply the rate, and you get 1,640. add the original 2000 onto that, and you get 3,640.

Step-by-step explanation:

draw it i n in a piece of paper and match the point so u will it get

C) The whole hundredths of 2347 is 234700 hundredths.  Zero-tenths are in 2,347. The whole tenth of 2347 is 2470tenth.

D) The tenth in 234. 7 are 7. The whole tenth of 234. 7 is 2347.

What is the tenth?

The tenth place is represented by the first digit following the decimal. The hundredth place is represented by the digit that follows the decimal.

Given number is 2347.

To find the whole hundredth, multiply the number by 100.

The whole hundredth in 2347 is 2347 × 100 = 234700.

The given number can be written as 2347.0.

Thus tenth of 2347 is 0.

To find the whole tenth, multiply the number by 10.

The whole tenth in 2347 is 2347 × 10 = 23470.

Thousand     Hundred       Ten      decimal point     Tenth

     2                      3              4                   .                    7

The tenth of in 234. 7 is 7.

The whole tenth in 234. 7 is 234.7 × 10 = 2347.

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The domain of the function f(x) = ∛x + 2 is all real numbers such that x ≥ 0. This is because the cube root function is defined only for non-negative numbers.

What do a function example's range and domain mean?

A straightforward function, such as f(x) = x2, can have a domain (what goes in) of just the counting numbers 1, 2, 3, etc., and a range (what comes out) of the set 1, 4, 9, etc. Another function, g(x) = x2, may have an integer domain of..., -3, -2, -1, 0... 1, 2, 3, and its range is..., 1, 4, 9,...

For the range, the function f(x) = ∛x + 2 is a monotonically increasing function over the domain, which means that it increases as the input x increases. Therefore the range of f(x) = ∛x + 2 is all real numbers greater than or equal to 2

So the domain is x>=0 and the range is y>=2

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The 4 ways to solve a problem are understanding the problem, devising a plan, carrying out the plan, look back.

A problem is any type of disruption from normality that is impeding progress. A problem can be time-consuming and requires too much energy to solve it.

Polya created his famous four-step process for problem-solving, which is used all over to aid people in problem-solving:

Step 1. Understand the problem.

x = a number

Step 2. Devise a plan (translate).

Twice the difference between a number and 1 is equal to 4 more than that number

Step 3. Carry out the plan (solve).

2(x - 1) = (x + 4)

2x - 2 = x + 4

2x - 2 - x = x + 4 - x

x - 2 + 2 = 4 + 2

x = 6

Step 4. Look back (check and interpret).

If we take twice the difference of 6 and 1, that is the same as 4 more than 6. Thus the final answer is 6.

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Answer:

B

Step-by-step explanation:

the sum of the two angles is 180

30 + 15x = 180

15x =150

x = 10 degrees

Answer: 1/6

Step-by-step explanation:

Since the garage is opened from Monday to Saturday, there'll be six possible outcomes which will be:

Monday, Tuesday, Wednesday, Thursday, Friday and Saturday.

Therefore, the probability that the garage gets any demand for windscreen on Monday will be:

= 1/6