Which statements describe characteristics of a geometric sequence? Check all that apply.

There is a common difference between terms

Each term is multiplied by the same number to arrive at the next term.

The sequence increases or decreases in a linear pattern

There is a common ratio between terms.

We know that:

[tex]1. \space\ V_{Rectangular \space\ prism} = 10 \text\] units^{3}\\\\2. \space\ L_{Small \space\ cube} = \frac{1}{2} \space\ units\\\\ 3. \space\ V_{Small \space\ cube} = L ^{3}[/tex]

Step-1: Find the volume of the small cube.

[tex]V_{Small \space\ cube} = L ^{3}[/tex]

[tex]V_{Small \space\ cube} = (\frac{1}{2}) ^{3}[/tex]

[tex]V_{Small \space\ cube} = (\frac{1}{2}) (\frac{1}{2}) (\frac{1}{2})[/tex]

[tex]V_{Small \space\ cube} = \frac{1}{8} \space\ units^{3}[/tex]

Step-2: Divide.

[tex]\frac{10}{\frac{1}{8} }\\\\ \Rrightarrow(10)(8)\\ \\ \Rrightarrow 80[/tex]

Hence, 80 cubes can be fit in the rectangular prism.

volume of rectangular prism = 10 units³

volume of each cube = [tex]\frac{1}{2} \times\frac{1}{2} \times\frac{1}{2} = \frac{1}{8} units^3[/tex]

required cubes = [tex]\frac{10}{ \frac{1}{8} }= 80[/tex]

Answer:

The correct answer is 2:1 :)

Answer:

4:2

Step-by-step explanation:

Answer:

5 cm

Step-by-step explanation:

Area of a circle: [tex]\pi r^{2}[/tex]  {r=radius}

[tex]\pi r^2=65.71cm2[/tex]

[tex]r^2=65.71/3.14[/tex] [tex](\pi =3.14)[/tex]

[tex]r^2=20.92[/tex]

[tex]r=\sqrt{20.92} =4.57cm[/tex]

[tex]r=4.57=5cm[/tex]

[tex]r=5cm[/tex]

[RevyBreeze]

Never gonna give you up, never gonna let you down, never gonna run around and dessert you.

Answer:

4.6

Step-by-step explanation:

to find mean you add up all the numbers then divide by how many numbers there are. 5+4+1+8+5= 23   Since there are 5 numbers you divide 23 by 5 which equals 4.6

Answer:

[tex]\displaystyle y = -3x + 9[/tex]

Step-by-step explanation:

First, find the rate of change of the line:

[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-6 + 3}{-1 + 2} = m \hookrightarrow \frac{-3}{1} = m \\ \\ \boxed{-3 = m}[/tex]

_______________________________________________

Now plug all the information into the Slope-Intercept Formula. It does not matter which ordered pair is chosen:

[tex]\displaystyle 3 = -3[2] + b \hookrightarrow 3 = -6 + b; 9 = b \\ \\ \boxed{\boxed{y = -3x + 9}} \\ \\ OR \\ \\ 6 = -3[1] + b \hookrightarrow 6 = -3 + b; 9 = b \\ \\ \boxed{\boxed{y = -3x + 9}}[/tex]

I am joyous to assist you at any time.

Answer:

to much math

Step-by-step explanation:

The probability that the participant was a nonsmoker is 25%.

Given that at the beginning of a certain study of a group of persons, 15% were classified as heavy smokers, 30% as light smokers, and 55% as nonsmokers, and in the five-year study, it was determined that the death rates of the heavy and light smokers were five and three times that of the nonsmokers, respectively, to calculate, if a randomly selected participant died over the five-year period, the probability that the participant was a nonsmoker, the following calculation must be performed:

Therefore, the probability that the participant was a nonsmoker is 25%.

Learn more about probability in https://brainly.com/question/26684125

Answer:

my 8k is a responsibility to ensure the correct

Step-by-step explanation:

I hope personally is am jare for you and I hope that it is possible that I

Answer:

1. 48x+6

2.36+48x

3.48x+32

4.36+48x

I think it will help you.

Answer:

yes i am

Step-by-step explanation:

thank you for noticing my style

Answer:

270 mL of pure alcohol is needed.

Step-by-step explanation:

In 540 mL of the mixture, you have 540*10% = 54 mL of pure alcohol.

If you add x mL pure alcohol, then you have (540 + x) mL solution, in it there is (54 + x) mL of pure alcohol

so (54 + x)/(540 + x) = 40%

Then

54 + x = 0.4(540 + x)

54 + x = 216 + 0.4 x

0.6x = 216 - 54 = 162

x = 162/0.6 = 270 mL

Answer:

Step-by-step explanation:

Area=bh/2=64, b=2h --->h2=64 --> h=8 (positive root) and b=16.

Hilary trip is an illustration of a scalene triangle

The triangle that represents Hilary's trip can be classified by the side lengths.

From the figure, the side lengths of the triangles are:

919 miles, 586 miles and 1212 miles

The lengths are not equal.

Triangles that do not have equal side lengths are scalene triangles

Hence, the triangle that represents Hilary's trip is a scalene triangle

To do this, we simply calculate the perimeter of the triangle.

So, we have:

P = 919 miles + 586 miles + 1212 miles

P = 2717 miles

Hence, Hilary completed 2717 miles

Read more about scalene triangles at:

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The equation that shows the number of minutes, x, it will take for the tank and the container to have the same amount of water will be 340 - 6x = 6x.

Based on the information given, the equation that shows the number of minutes, x, it will take for the tank and the container to have the same amount of water will be 340 - 6x = 6x. Therefore, the number of minutes will be:

340 - 6x = 6x

Collect like terms

340 = 6x + 6x

340 = 12x

x = 340/12

x = 28.33 minutes.

In 28.33 minutes, they'll have the same content.

Read related link on:

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Answer:

where where is it

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

ΔABC is a right triangle, therefore we can use Pythagoras' Theorem to find the value of x.

Pythagoras' Theorem:  a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Therefore,

Substitute these values into the equation and solve for x:

⇒ x² + 16² = 20²

⇒ x² + 256 = 400

⇒ x² = 400 - 256

⇒ x² = 144

⇒ x = √(144)

⇒ x = ±12

As length is positive, x = 12 units (only)

Answer:

a = 5

Step-by-step explanation:

a = 5

all you have to do is divide both sides by 3

Answer:

A=5

Step-by-step explanation:

Divide each term by 3 and simplify :)

Hope I helped!

Answer:

perimeter= a+b+c

Step-by-step explanation:

perimeter= 4+8+4= 16cm

Answer:

The answer should be A. [tex]x \in (-\infty,\, 2)[/tex].

Step-by-step explanation:

Start with the second inequality, which is more straightforward than the first. Add [tex]3[/tex] to both sides of this equation to separate [tex]x[/tex] from the numbers:

[tex]x - 3 + 3 \le -1 + 3[/tex]. The direction of the inequality sign shall stay the same.

[tex]x \le 2[/tex].

On the other hand, simplifying the first inequality takes a bit more work. Start by dividing both sides by [tex](-3)[/tex]. However, keep in mind that dividing or multiplying both sides of an inequality with a negative number will invert the direction of the inequality sign. For example, the left-hand side of an inequality might have been greater than the right-hand side. When both sides are multiplied with a number less than zero, the new left-hand side would become smaller than the new right-hand side.

Because [tex](-3)\![/tex] is a negative number, dividing both sides of the first inequality inequality by [tex](-3)[/tex] will turn the "greater-than" sign into a "less-than" sign.

The inequality used to be:

[tex]-3\, (x + 2) > 15[/tex].

After dividing both sides by the negative number [tex](-3)[/tex], it becomes:

[tex]\displaystyle \frac{(-3)\, (x + 2 )}{(-3)} < \frac{15}{(-3)}[/tex].

[tex]\displaystyle (x + 2) < -5[/tex].

[tex]x < -7[/tex].

The question connected the two original inequalities with "or". Therefore, the conditions will be satisfied as long as either of at least one of the two inequalities is true. Note, that [tex]x < 2[/tex] is true whenever [tex]x <-7[/tex] is true. Therefore, any real number that is smaller than [tex]2[/tex] will meet the requirements- not just those that are smaller than [tex](-7)[/tex].

The corresponding interval will be [tex](-\infty,\, 2)[/tex].

Answer:

The correct answer is, F-1(x) = 5(x-3)/3

Step-by-step explanation:

The inverse of given function f(x) = 3-x/5 would be equal to 3(x - 5)/5

Suppose that the given function is [tex]f:X\rightarrow Y[/tex]Then if function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is ;

[tex]f^{-1}: Y \rightarrow X[/tex]

We have been given a function of x as ; 3-x/5.

To find the inverse we will just switch x and function of x with each other.

That means we have;

x = 5/3  f(x) + 5

5/3 f(x) = x - 5

f(x) = 3(x - 5)/5

Learn more about inverse functions here:

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Answer:

32%

Step-by-step explanation:

1224 + 576 = 1800

100% = 1800

1% = 18 (divide by 100)

576 / 18 = 32

32% = 576

Answer:

32%

Step-by-step explanation:

576+1224=1800

576/1800=32/100

32%

"bc is twice half of angle D"

Answer:

x = 6

Both the angles are equal

7x + 4 = 9x - 8

9x - 7x = 4 + 8

2x = 12

x = 6

Solution:

We know that:

This means that:

Step-by step calculations:

Open the parenthesis:

Subtract 7x both sides:

Add 8 both sides:

Divide 2 both sides:

Answer:

MPG is miles per gallon so we just need to divide the miles by the gallons

345/16=21.56

so i guess a?

i mean thats rounded wrong but its the closes one

a

Hope This Helps!!!

Answer:

Step-by-step explanation:

Salamat po ikaw na pong bahala kung Tama po

Answer:

3.55

Step-by-step explanation:

This is simply combining like terms.

First, lets evaluate the terms separately.

x = 8 - (-2.25)

x = 8 + 2.25 (Negative signs cancel out)

x = 10.25 (Combine like terms)

y = 6 - 4.2 - (-4.9)

y = 6 - 4.2 + 4.9 (Negative signs cancel out)

y = 6.7 (Combine like terms)

Now, lets plug in these values to x - y.

(10.25)  - (6.7)

3.55

The value of x - y is equal to 3.55.

Answer:

-6 -4

Step-by-step explanation:

Answer:

3cm

Step-by-step explanation:

uhh i drew it but i cant show picture hope this is right tho!!!

Answer:

4 mL

Step-by-step explanation:

Multiply .25 by 2 because you are dispensing it twice a day.

.25 x 2 = .5, so you dispense .5 mL a day.

Now, multiply .5 mL a day x 8 days.

.5 x 8 = 4

Therefore, you should dispense 4 mL.

Answer:

(7, 9)

Step-by-step explanation:

The (x-7) indicates that the graph will be shifted to the RIGHT 7 units. The +9 at the end of the equation means the graph will be shifted UP 9 units.

So the point (0,0) will land at (7,9)