What is the common difference between successive terms in the sequence?
0.36, 0.26, 0.16, 0.06, -0.04, -0.14,

Answer:

g = 5/m

Step-by-step explanation:

mg = 5

÷m on both sides to get g on its own

g = 5/m

Given:

The equation is,

Explanation:

Substitute 3 for x and 2 for y in the equation to check for the solution.

Point (3,2) not satisfy the equation. So point (3,2) is not a solution of equation

Answer:

? = 56 m

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{?}{8}[/tex] = [tex]\frac{21}{3}[/tex] = 7 ( multiply both sides by 8 to clear the fraction )

? = 7 × 8 = 56 m

Answer:

Step-by-step explanation:

The value of the x for the two given parallel lines is 80.

For the given question;

The value of the angles are given in the form of equation.

∠1 + (12x + 7) = 180 (linear pair)

∠1 = 180 - 12x - 7

∠1 = 173 - 12x

Now,

∠1 = 8x + 13 (corresponding angles)

Put the value of ∠1.

173 - 12x = 8x + 13

On simplification,

173 - 13 = 8x + 12x

160 = 20 x

x = 80

Thus, the value of the x for the two given parallel lines is 80.

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It will take Cindy and Latasha and average of 24.44 years to have equal salary

Equivalent equations are algebraic equations having identical solutions or roots. In this question, we would use x to represent the number of years it will take to earn or have equal amount.

The equation can be written as

[tex]40000 + 3300x = 62000 + 2400x \\[/tex]

Each side of the equation represents the increase in salary per year of each person

Lets collect like terms and solve for x

[tex]62000-40000 = 3300x - 2400x\\22000 = 900x\\x = \frac{220}{9}\\x = 24.444[/tex]

It will take 24.44 years for them to have equal amount of salary.

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The equation of the function is y = -1/2x.

A function is an equation that, for each value of x, has a one solution for the variable y. Each input receives exactly one output when using a function. When x equals 2, we should determine our function's value because f(2) says to do so.

Here points are (-6,3) and (6, -3)

m = [tex]\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]

here, m = -3-3/6+6

m = -1/2

equation of line is y = mx + b

y = -1/2x+ b

hence, equation of function is y = -1/2x

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Answer

n = 5

Explanation

We need to solve for n in the equation given

7n - 4 = 31

Add 4 to both sides

7n - 4 + 4 = 31 + 4

7n = 35

Divide both sides by 7

(7n/7) = (35/7)

n = 5

Hope this Helps!!!

The given triangle is a right triangle and measurement of ∠ B = 44°

A triangle in which one angle is a right angle (that is, a 90-degree angle), i.e., in which two sides are perpendicular.

Given a right triangle,

We know the sum of two angles in a right triangle is 90°

∠ A + ∠ B = 90°

46° + ∠ B  = 90°

∠ B = 44°

Hence, the measurement of ∠ B = 44°

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The simplified forms of the radical expressions:

In this question we find five cases of addition of radical expressions that must be simplified into a single radical expression, that is, a radical expression of the form a√b. The simplification can be done by using algebra properties. The complete procedure is shown below:

Case 1

- 3√18 + 10√2

- 3 · (√9 × √2) + 10√2

- 3 · 3 · √2 + 10√2

- 9√2 + 10√2

√2

Case 2

- 2∛24 - 5∛3

- 2 · (∛8 × ∛3) - 5∛3

- 2 · 2 · ∛3 - 5∛3

- 4∛3 - 5∛3

- 9∛3

Case 3

5√12 - 2√27

5 · (√3 × √4) - 2 · (√3 × √9)

5 · 2 · √3 - 2 · 3 · √3

10√3 - 6√3

4√3

Case 4

5∛16 + 11∛2

5 · (∛8 × ∛2) + 11∛2

5 · 2 · ∛2 + 11∛2

10∛2 + 11∛2

21∛2

Case 5

3√54 - 21√24

3 · (√6 × √9) - 21 · (√6 × √4)

3 · 3 · √6 - 21 · 2 · √6

9√6 - 42√6

- 31√6

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If the temperature in the morning and noon is -14.8 degrees and 6.2 degrees Fahrenheit the temperature change will be 21°F.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

In mathematics, subtraction is defined as the difference between two quantities. The application of subtraction can be used broadly in different applications to find or solve the problems such as finding differences between two quantities and many more.

It is given that  At 5:00 am in the morning, the temperature was -14.8 degrees Fahrenheit. By noon, the temperature increased to 6.2 degrees Fahrenheit.

First, the temperature is changed from -14.8 degrees to 0 degrees Fahrenheit and then from 0 degrees Fahrenheit to 6.2 degrees Fahrenheit.

The overall temperature change is,

ΔT =T₂ - T₁

ΔT =6.2° F - (-14.8°F)

ΔT =21°F

Thus, if the temperature in the morning and noon is -14.8 degrees and 6.2 degrees Fahrenheit the temperature change will be 21°F.

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Step-by-step explanation:

we need to remember the formula for the circumference of a circle :

2×pi×r

or

2×r × pi

what is 2×r ? the double radius ? 2 times the radius is the diameter.

so, we know

diameter × pi = 34 ft

diameter = 34/pi = 10.82253613... ft

Answer:

13 inches

Step-by-step explanation:

So, the hypotenus is the longest side of a right triangle, so it would be 13. But, if you really want to double check, you can take a2 + b2 = c2 and fill in each letter with a number until it is right. So, we'll do a=5, b=12, and c=13. 5 squared is 25, 12 squared is 144, and 13 squared is 169. 144+25=169.

To make the trip in 25 hrs, the train must travel as fast as 42 mph.

Speed is the rate or the change in distance over change in time.

Speed = d / t

where d = distance

t = time

If a train traveling from Chicago to New York has a speed of 35 mph and took 30 hours to cover the distance from the two locations, then the distance is 1050 miles.

Speed = d / t

35 mph = d / 30 h

d = 1050 miles

Covering the same distance, solve for the rate of speed needed by the train to make the trip in 25 hours.

Speed = d / t

Speed = 1050 miles / 25 hours

Speed = 42 mph

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How are the algebraic expressions divided?

a) (4x4-12x³ + 7x² + 3x - 2) by (2x²-3x-2) = (2x-1) (x-1)

Factorization of the numerator ,

[tex]4x^4-12x^3 + 7x^2 + 3x - 2\\\\= (4x^4+ 7x^2 - 2) -12x^3+3x\\\\= (4x^4- x^2+ 8x^2 - 2) -12x^3+3x\\\\=(4x^4- x^2)+ (8x^2 - 2) -12x^3+3x\\\\= x^2(4x^2- 1)+ 2( 4x^2 - 1) -12x^3+3x\\\\=(4x^2- 1)(x^2+2)-12x^3+3x\\\\=(4x^2- 1)(x^2+2)+(-12x^3+3x)\\\\=(4x^2- 1)(x^2+2)-3x(4x^2-1)\\\\=(4x^2- 1)(x^2+2-3x)\\\\=(4x^2- 1)(x^2-x-2x+2)\\\\=(4x^2- 1)((x^2-x)+(-2x+2))\\\\=(4x^2- 1)(x(x-1)-2(x-1))\\\\=(4x^2- 1)(x-1)(x-2)\\\\=(2x+1)(2x-1)(x-1)(x-2)[/tex]-----(1)

Factorization the denominator ,

[tex](2x^2-3x-2)\\\\= (2x^2+x-4x-2)\\\\= (2x^2+x)+(-4x-2)\\\\=x(2x+1)-2(2x+1)\\\\=(2x+1)(x-2)[/tex]                          ----(2)

Divide (1) by (2)

= [tex]\frac{(2x+1)(2x-1)(x-1)(x-2)}{(2x+1)(x-2)}[/tex]

= (2x-1) (x-1)

b) (x² + 4y¹) by (x² + 2y²-2xy)

[tex]\frac{x^{2} +4y}{x^{2} +2y^{2} -2xy}[/tex]

This is the simplest form of the algebraic expression.

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Answer:

See my photo, bro. i am not really sure if this week should be counted in. And the second question's answer i am not really sure. hope it can help.

Answer:

divide by -9 and you get -3/9x-9 simplify -3/9 to -1/3

Step-by-step explanation:

-1/3x is your slope

Answer:

A(35

B(-25

Step-by-step explanation:

3x10+5=35

3x-10+5=25

let me break it down more for you

3 x 10= 30 + 5= 35

3 x -10= -30 + 5 = 25

Answer: 188.6 seconds which is rounded to 189 seconds or 3 minutes and 9 seconds

Step-by-step explanation:

Since we see that a time is given for 1 mile, to find the other distance we multiply the time for 1 mile (49.7 seconds) by the distance required (3.8 miles)

It can be also written like this:

1 mile -------> 49.7 seconds

3.8 miles-------> 49.7 seconds x 3.8 miles = 188.6 seconds rounded to 189 seconds. If asked for minutes, it can be written as 3 minutes and 9 seconds

Hope this helps!

The coordinates which divide the segment with endpoint (-1,-2) and (8,4) in the ratio 2 to 1 are (5,2)

What is section formula?

Section formula is used to find the ratio in which a line segment is divided by a point internally or externally. The section formula can be given as

[tex](\frac{mx_{2}+nx_{1} }{m+n} ,[/tex][tex]\frac{my_{2}+ny_{1} }{m+n})[/tex] where [tex](x_{1},y_{1} ),(x_{2},y_{2} )[/tex] are the endpoints of the segment and this points are divided in the ratio [tex]m:n[/tex]

We are given the coordinates as (-1,-2) and (8,4)

This segment is divided in ratio 2:1

We use section formula to find the coordinates

the x- coordinates can be given as

[tex]x=\frac{2(8)+1(-1)}{2+1}[/tex]

[tex]x=\frac{16-1}{3}\\[/tex]

[tex]x=\frac{15}{3}[/tex]

[tex]x=5[/tex]

Similarly the y coordinate can be given as

[tex]y=\frac{2(4)+1(-2)}{2+1}[/tex]

[tex]y=\frac{8-2}{3}[/tex]

[tex]y=\frac{6}{3}[/tex]

[tex]y=2[/tex]

Hence the coordinates which divide the segment with endpoint (-1,-2) and (8,4) in the ratio 2 to 1 are (5,2)

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Answer:

the answer is 60

Step-by-step explanation:

Lets suppose we used an example of two children, one of them having $7.50 and other one having $8.40, and the total money will be the addition i.e., $15.9 using decimal operations.

As per the question statement, we are supposed to write and solve a word problem for decimal addition. Let the statement be : Two children, one of them have $7.50 and other one having $8.40, the sum total money would be____".

We are supposed to add both decimal numbers:

Total money = $7.50 + $8.40

Total money = $15.9

Hence, the sum total of the money of both the children is $15.9 using the decimal operations.

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Answer:

any number less than 4.3

Step-by-step explanation:

Let x = number that can be added to -4.3

-4.3 + x < 0

Add 4.3 to both sides.

x < 4.3

Answer: any number less than 4.3

Find intersection of

BD , AD DC

Then

BD = BE^2 + ED^2

R = AD = abc/4S = 42• (2•28)•

The line has a slope of 1 is L, and the line has a slope of 2 is K, slope of line is  [tex]y = (\frac{1}{3} )x[/tex].

Suppose a small grid represents a unit, from the graph,.

We can know,

For line L : When adding a unit horizontally, a unit is also added vertically.

Hence,

The slope of L : 1/1 = 1

For line K : When adding a unit horizontally, a two units are also added vertically.

Hence,

The slope of K : 2/1 = 2

A graph a line whose slope is 1/3, label the line a.

'a' line whole slope is 1/3

Suppose the line 'a' is,

[tex]y = (\frac{1}{3} )x[/tex]

x       0        3

y       0        1

Therefore,

The line has a slope of 1 is L, and the line has a slope of 2 is K, slope of line is  [tex]y = (\frac{1}{3} )x[/tex].

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The vector given in Option C is correct.

In mathematics and physics, the term "vector" is used informally to describe certain quantities that cannot be described by a single number or by a set of vector space elements. a quantity in mathematics that lacks position but has both magnitude and direction. Velocity and acceleration are a couple of examples of these quantities. A quantity or phenomenon with independent qualities for both magnitude and direction is called a vector. The term can also refer to a quantity's mathematical or geometrical representation. Velocity, momentum, force, electromagnetic fields, and weight are a few examples of vectors in nature.

Given,

The vector should be arranged with the direction going toward the tips of Vector A and Vector B.

Option C is correct.

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a) The down payment of $60,000 is 30% for a studio apartment of $200,000 purchase price

b) The  down payment of $90,000 is 45% for a studio apartment of $200,000 purchase price.

Given,

The purchase price for the studio apartment = $200,000

The down payment they paid = $60,000

a) We have to find the percentage of down payment to purchase price.

Here,

Percentage = (down payment x 100) / purchase price

= (60,000 x 100) / 200,000

= 60/2

= 30

That is,

The down payment of $60,000 is 30% for a studio apartment of $200,000 purchase price.

b) We have to find the percentage to purchase price if the down payment is $90,000

Here,

Percentage = (down payment x 100) / purchase price

= (90,000 x 100) / 200,000

= 90/2

= 45

That is,

The  down payment of $90,000 is 45% for a studio apartment of $200,000 purchase price.

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From the given information Tameka is 22 years old.

Given:

The sum of the ages of Tameka, Jessica, and Venessa is 57

And Tameka is 3 years older than Jessica and 6 years older than Venessa

Let Tameka's age be x

Therefore, Jessica' age will be x-3 and Venessa age will be x -6

Therefore according to the question,

x + (x-3) + ( x-6) = 57

=> 3x = 57 + 3 + 6

=> x = 66/3

x= 22years

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Two Spiteful Uncles Walking to the Beat

A Short Story

by Grim

Lee Changseon had always loved deprived Falmouth with its magnificent, mutated mountains. It was a place where he felt delighted.

He was a down to earth, splendid, squash drinker with ruddy eyes and handsome ankle. His friends saw him as a bad, breakable barndon harera. Once, he had even helped a silky chicken cross the road. That's the sort of man he was.

Lee walked over to the window and reflected on his creepy surroundings. The snow flurried like thinking puppies.

Then he saw something in the distance, or rather someone. It was the figure of Morwenna Thornton. Morwenna was a sympathetic friend with skinny eyes and tall ankle.

Lee gulped. He was not prepared for Morwenna.

As Lee stepped outside and Morwenna came closer, he could see the squashed smile on her face.

Morwenna gazed with the affection of 747 sinister ordinary owls. She said, in hushed tones, "I love you and I want Internet access."

Lee looked back, even more sneezy and still fingering the cursed gun. "Morwenna, I just don't need you in my life any more," he replied.

They looked at each other with ecstatic feelings, like two hurt, handsome horses drinking at a very brutal snow storm, which had piano music playing in the background and two spiteful uncles walking to the beat.

Lee regarded Morwenna's skinny eyes and tall ankle. "I feel the same way!" revealed Lee with a delighted grin.

Morwenna looked jumpy, her emotions blushing like a narrow, nosy newspaper.

Then Morwenna came inside for a nice beaker of squash.

THE END lol