find the 7th term of the geometric progression which begins:
2, -6, 18...

Answer:

t = u/r   -s

Step-by-step explanation:

r(s+t)=u

Divide each side by r

r/r(s+t)=u/r

s+t = u/r

Subtract s from each side

s+t-s = u/r  -s

t = u/r   -s

Answer:

[tex]x=\frac{\sqrt{13}-7 }{18} ,x=\frac{-\sqrt{13}-7 }{18}[/tex]

Step-by-step explanation:

I'm not too good with the quadratic formula so I'm going to complete the square.

First divide everything by 9 and move the 1 to the other side.

[tex]x^2-\frac{7}{9}=-\frac{1}{9}[/tex]

Then take half of [tex]\frac{7}{9}[/tex] and square it and add it to both sides.

[tex]x^2-\frac{7}{9} +\frac{49}{324}=\frac{13}{324}[/tex]

Now you can factor it.

[tex](x-\frac{7}{18})^2=\frac{13}{324}[/tex]

Square root:

[tex]x-\frac{7}{18}=\frac{\sqrt{13} }{18}[/tex]

[tex]x=\frac{\sqrt{13}-7 }{18} ,x=\frac{-\sqrt{13}-7 }{18}[/tex]

Answer:

slope = [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (4, 3) ← 2 points on the line

m = [tex]\frac{3-2}{4-0}[/tex] = [tex]\frac{1}{4}[/tex]

It is indeed false.

[tex]\sin^{-1}x[/tex] is a function that takes values of [tex]x[/tex] between -1 and 1, and takes on values between -π/2 and π/2. Most importantly, it's a function that takes *one* value in its domain and assigns it to exactly *one* value in its range. Hence [tex]\sin^{-1}x[/tex] is one-to-one.

It's true that [tex]\sin x=\frac45[/tex] has infinitely many solutions, but [tex]\sin x[/tex] itself is not one-to-one.

Answer:

False

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

The associative property states that you can add or multiply numbers in any group.

Ex:

x + y + z = x + y + z

(x + y) + z = x + (y + z)

x * y * z = x * y * z

(x * z) * y = (x * y) * z

Addition: According to the associative property of addition, the sum of three or more numbers remains the same regardless of how the numbers are grouped or arranged. Here's an example of how the sum does NOT change irrespective of how the addends are grouped.

Multiplication: According to the associative property of multiplication, the product of three or more numbers remains the same regardless of how the numbers are grouped. Here's an example of how the product does not change irrespective of how the factors are grouped.

Division and Subtraction = NO ASSOCIATIVE PROPERTY

Answer: T = time remaining + time elapsed.

Step-by-step explanation:

Time elapsed means the time that he has been listening to the song (the minutes passed since he hits the play button)

Time remaining is the time left to finish the song.

Then the total duration of the song will be:

T = time remaining + time elapsed.

"Time Elapsed" simply refers to the time which has been spent listening to the music track. The "time remaining" on the other hand is the time left on for the song to come to an end. Song duration is the addition of both.

Please note that the information from the question required to give a well-rounded answer is incomplete. Hence the general answer.

To calculate the time duration of the song (which is the total length of the song in terms of time) the Time Elapsed must be added to the Time Remaining.

That is:

Total Duration = Time Elapsed + Time Remaining.

See the link below for more about Song Duration:

https://brainly.com/question/14701526

Answer:

12.73

Step-by-step explanation:

The diagonal of the square forms the shape of a right angle with two adjacent sides of the square.

The diagonal is the hypotenuse.

Pythagoras theorem states that the square of the hypotenuse is equal to the sum of the square of the other two sides of the triangle:

[tex]d^2 = a^2 + b^2[/tex]

where d = hypotenuse = diagonal.

Since the other two sides are equal, then:

[tex]d^2 = a^2 + a^2\\\\d^2 = 2a^2[/tex]

The length of the side of the square is 9:

[tex]d^2 = 2 * 9^2 \\\\d^2 = 2 * 81\\\\d^2 = 162\\\\d = \sqrt{162}\\ \\d = 12.73[/tex]

The length of the diagonal is 12.73

Answer:

12.73

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Answer: 6 kilograms

Step-by-step explanation:

3 walls * 2 kilograms each = 6 kilograms in total

Answer:

its a

Step-by-step explanation:

the slope goes from point a to , in this case is subtracting -.05

Answer:

its A - 0.05

Step-by-step explanation:

edge 2020!

Rate and give me a thanks if you want me to answer more of your guys questions.

Answer:

work is shown and pictured

Answer:

-3=x^2/-27

x^2=(-3)(-27)

x=9 or x=-9

Step-by-step explanation:

Answer:

The constant of proportionality is [tex]\frac{1}{40}[/tex]

Step-by-step explanation:

We have a function that relate the number of football mums made to the number of ribbons needed, since they are proportional the function that relates the two variables is a linear function is shown below:

[tex]y = a*x[/tex]

The constant of proportionality is the number, "a", that relates the two variables. It was state that 160 ribbons make 4 mums, therefore:

[tex]4 = a*160\\a*160 = 4\\a = \frac{4}{160} = \frac{1}{40}[/tex]

The constant of proportionality is [tex]\frac{1}{40}[/tex]

Answer:

(A)All real solutions

Step-by-step explanation:

Given the function g(x) shown on the graph

One of the points of the parabola is  (-3.5, 0).

The point x=-3.5 is one of the solution of the parabola since it intersects the x-axis at that point.

The other point of intersection is on the positive side between 0 and 1.

Therefore, g(x) has two solutions: One negative real number and one positive real  number.

Therefore, g(x) has all real solutions.

The correct option is A.

Answer:

All solutions that lie on g(x)

Step-by-step explanation:

I took the test and that's the correct answer...

Answer:

D

Step-by-step explanation:

The range means the possible values of the y coordinate which is y ≥ 1 in this function

Answer:

A. 5

Step-by-step explanation:

The longest side of the right triangle is the hypotenuse and it is √61 units. The other legs of the triangle is x unit and (x + 1) units.

From Pythagoras theorem for right angle triangle, the square of the hypotenuse is equal to the sum of the square of the other sides of the triangle. This implies that:

(√61)² = (x)² + (x + 1)²

x² + x² + 2x + 1 = 61

2x² + 2x + 1 - 61 = 0

2x² + 2x -60 = 0

Dividing through by 2 gives:

x² + x - 30 = 0

x² + 6x - 5x - 30 = 0

x(x + 6) -5(x + 6) = 0

(x-5)(x+6) = 0

x-5 = 0 or x+6 = 0

x = 5 or x = -6

Since the length of a side cannot be negative, x = 5 units

Answer:

The correct answer is A.

Step-by-step explanation:

X=5

Answer:

It has 75 birds

Step-by-step explanation:

Hope that's the answer since I can't get the question

Answer:

see below

Step-by-step explanation:

(x + 1.5)² - 2.25 - 28 = 0

(x + 1.5)² - 30.25 = 0

(x + 1.5)² = 30.25

Answer:

C = 6pi cm

Step-by-step explanation:

The circumference of a circle is given by

C = pi *d

C = 6pi cm

Answer:

C(x) = 25 + 2x

Step-by-step explanation:

He already has 25 cards.

He is collecting 2 cards per month. In x months, he will have collected:

2 * x = 2x cards

That means that the number of cards he will have after x months will be the sum of the cards he already has and the cards he collects per month:

C(x) = 25 + 2x

Answer:

b

Step-by-step explanation:

Answer:7

Step-by-step explanation:

7^2 = 49 (or square root of 49 is 7)

8^2 = 64 (or square root of 64 is 8)

[tex]answer \\(x - 4)(3x + 2) \\ solution \\ {3x}^{2} - 10x - 8 \\ = {3x}^{2} - (12 - 2)x - 8 \\ = {3x}^{2} - 12x + 2x - 8 \\ = 3x(x - 4) + 2(x - 4) \\ = (x - 4)(3x + 2) \\ hope \: it \: helps[/tex]

Answer:

Step-by-step explanation:

Answer:

ax - by = k

Step-by-step explanation:

A literal equation is an equation made up of variables representing numbers that can be changed

ax - by = k is a literal equation because there are no numbers

Letters stand for each item

Answer:

1/2

Step-by-step explanation:

[tex]\dfrac{1}{3}\div \dfrac{2}{3}=\\\\\dfrac{1}{3}\times\dfrac{3}{2}=\\\\ \dfrac{3}{6}=\\\\\dfrac{1}{2}[/tex]

Hope this helps!

Answer:

See below

Step-by-step explanation:

8 is classified as a rational number because it can be made into a fraction. 8.8 = 8 8/10 = 88/10

Answer:  d) DF ≅ JH

Step-by-step explanation:

Side-Side-Side Congruency Theorem states that triangles are congruent if and only if their corresponding side lengths are congruent.

Given: EF ≅HI

Given: DE ≅IJ

Missing: DF ≅ JH

Answer:

37

Step-by-step explanation:

Using the Pythagorean theorem:

[tex]x=\sqrt{12^2+35^2}=\sqrt{144+1225}=\sqrt{1369}=37[/tex]

Hope this helps!

Step-by-step explanation:

milk container

a room spray

coke can

Answer:

Pipes

Cold drink cans

Water tanks

Battery

Gas cylinder

Candle

Test tube

Beaker

Fire extinguisher