if 1/2 gallon of paint covers 1/8 of a wall, then how much paint is needed for the entire wall

Step-by-step explanation:

a1=ar⁰=12 A2=ar¹=-6

a=12 ar=-6

12r=-6

r=-6/12

r=-1/2

a10=ar⁹

=12*(-1/2)⁹

=12*(-512)

=-3/128

S∞ = a1 / (1-r )

=12/(1-1/2)

=12*1/2

=6

The tenth term of the progression will be -3/128, and the sum to infinity will be 6.

The geometric progression defined as a series represents the sum of the terms in a finite or infinite geometric sequence. The successive terms in this series share a common ratio.

The nth term of a geometric progression is expressed as

Tₙ = arⁿ⁻¹

Where a is the first term, r is the common ratio

We have been given that the first term of a geometric progression is 12 and the second term is -6

So common ratio r = second term/first term = -6/12= -1/2

The tenth term of the progression will be

⇒ ar¹⁰⁻¹ = ar⁹

⇒ 12(-1/2)⁹

⇒ -12(1/512)

⇒ -3/128

The sum to infinity = a / (1-r )

The sum to infinity = 12/(1 - 1/2)

The sum to infinity = 12 × 1/2

The sum to infinity = 6

Thus, the tenth term of the progression will be -3/128, and the sum to infinity will be 6.

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Answer:No real solutions

Step-by-step explanation:Let's solve your equation step-by-step.

−3x2−4x−4=0

For this equation: a=-3, b=-4, c=-4

−3x2+−4x+−4=0

Step 1: Use quadratic formula with a=-3, b=-4, c=-4.

x=

−b±√b2−4ac

2a

x=

−(−4)±√(−4)2−4(−3)(−4)

2(−3)

x=

4±√−32

−6

Answer:

Which paper?...LOL...

Answer:

The Distributive Property is easy to remember, if you recall that "multiplication distributes over addition". Formally, they write this property as "a(b + c) = ab + ac". In numbers, this means, for example, that 2(3 + 4) = 2×3 + 2×4.

Step-by-step explanation:

Answer:

Johnny is 7

Step-by-step explanation:

multiply 4 by 3 as johnny is 5 years younger then 3 times the age of Johnson and Johnson is 4 so we get 12 then we subtract 5 and get 7

Answer:

55 cents

Step-by-step explanation:

Answer: 55 cents.

Step-by-step explanation:

Answer: -7

Step-by-step explanation:

Answer:

$ 26 . 25this is a answer

Answer:

The last answer choice $8.75

Step-by-step explanation:

(35*25)/100

= 875/100

=8.75

Answer: Tom is incorrect.

Step-by-step explanation: Congruent is defined as having exactly the same angle measurements and exactly the same side lengths.

In the 1/3 dilation, the angles will remain the same, but all the sides will be shorter, 1/3 the lengths of the original image. The image and pre-image are not congruent. They are similar.

Answer:

Option (4)

Step-by-step explanation:

Length of segment between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

From the figure attached,

Distance between A(0, -3) and B(3, 0) = [tex]\sqrt{(3-0)^2+(0+3)^2}[/tex]

AB = [tex]3\sqrt{2}[/tex]

Distance between A'(-3.5, -4.5) and B'(-8, 0)

Length of A'B' = [tex]\sqrt{(-3.5+8)^2+(-4.5-0)^2}[/tex]

A'B' = [tex]4.5\sqrt{2}[/tex]

Scale factor for dilation = [tex]\frac{4.5\sqrt{2}}{3\sqrt{2}}=1.5[/tex]

Therefore series of transformations will be,

A dilation of figure 1 with scale factor of [tex]\frac{3}{2}[/tex] and then a reflection.

Option (4) will be the answer.

Answer:

The answer is (2, -1)

Step-by-step explanation:

The area of the circle is:

A = r²π

We know

A = 78.5

π = 3.14

78.5 = r² * 3.14

r² = 78.5 : 3.15

r² = 25

r = √25 = 5

The standard form equation of a circle is:

(x - h)² + (y - k)² = r²

We have:

(2, 4)

⇒ h = 2

   k = 4

r = 5

(x - h)² + (y - k)² = r²

(x - 2)² + (y - 4)² = 5²

(x - 2)² + (y - 4)² = 25

Now, let's substitute all choices:

(-6, 4):

(-6 - 2)² + (2 - 4)² = 25

(-8)² + (-2)² = 25

64 + 4 = 25

68 = 25

Wrong

(2, -1)

(2 - 2)² + (-1 -4)² = 25

0² + (-5)² = 25

0 + 25 = 25

25 = 25

Right

Hope this helps :p

Answer:

(2, -1)

Step-by-step explanation:

same test

Answer:

system 2

Step-by-step explanation:

hope it helps!!!!!!

Answer:

D. 6.30q + 14.40 = 4.50(q + 4)

Step-by-step explanation:

Which equation below represents the situation

A. 3.60(q – 4) + 25.20 = 4.50q

B. 3.60q + 25.20 = 4.50(q + 4)

C. 6.30(q – 4) + 14.40 = 4.50q

D. 6.30q + 14.40 = 4.50(q + 4)

Cost of Cranberry juice = $6.30 per quart

Cost of apple juice = $3.60 per quart.

Let

Cost of q quarts of Cranberry juice = $ 6.30q

Cost of 4 quarts of apple juice = $3.60×4= $ 14.40

Total quarts of cranberry-apple juice mixture = q+4

Terrence wants to make a cranberry-apple juice mixture that costs $4.50 per quart

Total revenue = price × quantity

= $4.50(q+4) (1)

Total cost of the mixture = Cost of q quarts of cranberry juice + cost of 4 quarts of apple juice.

= 6.30q + 14.40 (2)

Equate both equations

$4.50(q+4) = 6.30q + 14.40

It can also be written as

6.30q + 14.40 = 4.50(q + 4)

The correct answer is

D. 6.30q + 14.40 = 4.50(q + 4)

Answer:

7,408.8

Step-by-step explanation:

multiply 4.9 by 1512

Answer:

5.7x10^-8

Step-by-step explanation:

Move the decimal 8 places to the right.

Hope this helps

Answer:

C

Step-by-step explanation:

1. Identfiy The type therom it is which is alternate interior

2. Find the converse of the alternate interior which is the oppoiste so it has to be alternate exterior angle

Answer: $10

Step-by-step explanation:

$4/40 golf balls = $1/10 golf balls

$1/10 = x/100, x=100/10, x=$10

Answer:

It is $10 dollars, so the person that answered before got it right

Step-by-step explanation:

$4                x

_____________

40             100

40x= 400

x=10

Answer:

123 ft

Step-by-step explanation:

create a right angle triangle from the given info.

your perpedicular will be tree height and hypotneus will be 145 feet

sin 45=Tree height/145

122.96=tree height

123 ft

The height of the tree will be equal to 123 feet.

The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.

Given that a zip line from the tallest tree in the forest to the campsite is 145 feet. The angle of elevation from the ground to the top of the tree is 58°.

Create a right-angle triangle from the given info. your perpendicular will be tree height and your hypotenuse will be 145 feet

sin 45=Tree height/145

122.96=tree height

123 ft

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Answer & Step-by-step explanation:

4(t + 2) = 10

4t + 8 = 10

4t = 2

t = 1/2

Hope this helps

Step-by-step explanation:

I think it's already in standard form

Answer:

4-1x is the answer, I hope this helps and have good day:)

Step-by-step explanation:

Answer:

1.46943231441048

Step-by-step explanation:

This a question about perimeter and equation, let's see how to solve that:

The perimeter of a rectangle is the sum of its 4 sides. In this case, we know that the perimeter is 118. We can do an equation with these datas:

[tex]\boxed{AB + BC + CD + DA = 118}[/tex]

We also know other informations: the side AB is equal to [tex]4y+3[/tex] and de side BC is equal to 3y. In a recltangle, parallels sides have the same value. So, the side CD is equal to [tex]4y+3[/tex] and the side DA is equal to 3y.

Now, we have these datas:

[tex]AB + BC + CD + DA = 118\\\\AB = CD = 4y + 3\\BC = DA = 3y[/tex]

Let's do and solve an equation:

[tex]AB + BC + CD + DA = 118\\\\4y+3 + 3y + 4y+3 + 3y = 118\\14y + 6 = 118\\14y = 118 - 6\\14y = 112\\y = \frac{112}{14} \\y = 8[/tex]

So, the value of y is 8. Let's replace the value of y in the side AB:

[tex]4y + 3\\4\times 8 + 3 = 35[/tex]

Therefore, the length of side AB is 35.

Answer:

(-5)-4(0.5)=-7

Step-by-step explanation:

(-5)-4(0.5)=-7

-5-2=-7

-7=-7

Answer:

28-6=w

Step-by-step explanation: