Select the correct rule for this Geometric Sequence:

3, 12, 48, 192, ...

Question 5 options:

A(n)=12−3n−1

A(n)=3⋅12n−1

A(n)=3⋅4n−1

A(n)=4⋅3n−1

A(n)=3+12n−1

Answers:

1) Given

2) angle 2 ** see note below

3) angle 3 ** see note below

4) converse of alternate exterior angle theorem

note: you can swap the answers for 2 and 3 and it doesn't matter

========================================================

Explanations:

1) This is given so we just simply state "given". It seems silly to repeat what is given, but this is how you start any geometry proof.

2 & 3) The answers here are angle 2 and angle 3 because they are both interior angles (on the inside of the parallel lines m and L) and they are on alternate sides of the transversal line q. So they are both alternate interior angles and are congruent due to line L parallel to line m (alternate interior angle theorem)

4) If you have a pair of parallel lines, then the alternate exterior angle theorem says that alternate exterior angles are congruent. Going in reverse, the converse of this theorem says that having a pair of congruent alternate exterior angles (angle 1, angle 2) leads to the lines being parallel (p and q).

A well-structured paragraph should have unity under a single thesis, clear topics, and relevant evidence. The analysis of the evidence reinforces the main point.

A well-structured paragraph should have unity under a single thesis, clear topics supported by relevant evidence, and appropriate transitions. The supporting evidence can include facts, statistics, expert opinions, and examples. The analysis of the evidence should explain its significance and reinforce the main point of the paragraph.

https://brainly.com/question/8576846

#SPJ3

Answer:

x=-2

Step-by-step explanation:

Given points are (-2,2) and (-2,-3).

Now we need to find equation of the line passing through the given points.

So let's begin by finding slope

[tex]m=\frac{\left(y_2-y_1\right)}{\left(x_2-x_1\right)}=\frac{\left(-3-2\right)}{\left(-2-\left(-2\right)\right)}=\frac{\left(-5\right)}{\left(-2+2\right)}=-\frac{5}{0}[/tex]

which is undefined. That means graph of the line must be vertical as you can see that in given points, x-value is not changing.

Equation of vertical line is given by x=k where k is the fixed value of x-coordinate.

x-coordinate is -2 in given points.

Hence final equation is x=-2.

Answer:

x=-2

Step-by-step explanation:

The area and the circumference of the circle are 28.26 square units and 18.84 units

Finding the area and the circumference of the circle

From the question, we have the following parameters that can be used in our computation:

Radius, r = 3 units

The area and the circumference of the circle are calculated using

Area = πr²

Circumference = 2πr

Substitute the known values into the equation

Area = 3.14 * 3² =  28.26

Circumference = 2 * 3.14 * 3 = 18.84

Hence, the area and the circumference of the circle are 28.26 square units and 18.84 units

Question

The radius of a circle in 3 units

Find the area and the circumference of the circle

[tex]\text{Let}\ f(x)=3x+5\ \text{and}\ g(x)=x^2\\\\\dfrac{f(x)}{g(x)}=\dfrac{3x+5}{x^2}\\\\\text{The domain:}\\\\x^2\neq0\to x\neq0\\\\Answer:\ \boxed{x\in\mathbb{R}-\{0\}}\to\boxed{x\in(-\infty,\ 0)\ \cup\ (0,\ \infty)}\\\\\text{All real numbers except 0.}[/tex]

Answer:

14.x=-2

21. x=-2

23. x=5

7.x=12

2.x=49

Step-by-step explanation:

I got your back bro:

14. Subtract 7 on both sides. Then divide -16 by 8.      x=-2

21. Add 1 on both sides. Divide 18 by -9. x=-2

23. Subtract 24 on both sides, then divide -25 by -5. your answer is x=5.

7. Add 2/5 on both sides. then multiply 2 2/5 by the reciprocal of -1/5. Your answer is x=12

2. Subtract 5 on both sides. Multiply 14 by the reciprocal of 2/7, or 7/2. Your answer is 49.

Good luck!

Answer:

Hope this helps! Brainliest please

Step-by-step explanation:

1. Divide both by 5, so the correct answer would be 5/9, and then multiply both by 3, so the correct answer would be 75/135. The answer is 5/9,75/135

2. 4 and 2/7 because 7 *4=28. That leaves 2 sevenths over.

3. Divide both by 9. Your answer is 3/4

Answer:

$86 is she spending on the party.

Step-by-step explanation:

As per the statement: A company employee is planning a promotion party with her friends. She orders 6 pizzas for $7 each, 2 bowls of mixed salad for $12 each, and 4 cases of assorted soft drinks for $5 each.

⇒ 6 pizzas for $7 each

Total cost for 6 pizzas = [tex]6 \times 7 = \$42[/tex]

2 bowls of mixed salad for $12 each.

Total cost for 2 bowls = [tex]2 \times 12 = \$24[/tex]

and

4 cases of assorted soft drinks for $5 each.

Total cost for 4 cases of assorted soft drinks = [tex]4 \times 5 = \$20[/tex]

She spending on party = Total cost for 6 pizzas + Total cost for 2 bowls + Total cost for 4 cases of assorted soft drinks

Substitute the values we get;

Total cost she spending on party = [tex]\$42 + \$24 + \$20 =\$86[/tex]

Answer:

Final answer is x= -0.76 and y=2.57.

Step-by-step explanation:

We have been given two functions [tex]f(x)=x^3+3[/tex] and

[tex]g(x)=x^2+2[/tex]

Now question says to graph the given functions [tex]f(x)=x^3+3[/tex] and

[tex]g(x)=x^2+2[/tex] using some graphing tool. Then zoom as per requirement so that you can see the intersection point and read that point from graph which should be correct up to hundredth decimal place.

I'm using Desmos graphing calculator. Just type both functions then it will create graph for you. Click on intersection point as you can see in the attached picture. They intersect at point (-0.755,2.57).

Hence final answer is x=-0.76 and y=2.57.

Answer:

Step-by-step explanation:

The given functions are

[tex]f(x)=x^{3}+3\\ g(x)=x^{2} +2[/tex]

If we wanna find [tex]f(x)=g(x)[/tex] we can just graph and see such point, or we can do some algebra to find it. This problem, specifically, asks an answer using a graphic method. The graph with both functions is attached.

You can see that the interception point is (-0.755, 2.57), which rounded to the nearest hundred is (-0.76, 2.57). At this point the functions are equal ([tex]f(x)=g(x)[/tex]), that's what an interception means.

We obtained this point by just left-clicking on the interception point, as the problem indicates.

Answer:

1, 2, 3

Step-by-step explanation:

solve the inequality by dividing both sides by 2, hence

n ≤ 3

3 = 3 and 1, 2 < 3

hence 1, 2 and 3 all make the inequality true

x^2-9x-6=0

Use the quadratic formula to get (9+sqrt(105))/2 or (9-sqrt(105))/2

Answer:

n = S/180 + 2

Step-by-step explanation:

S = 180(n - 2)

First, divide both sides by 180.

S/180 = n - 2

Now add 2 to both sides.

S/180 + 2 = n

n = S/180 + 2

Answer:

n = (S/180) + 2

Step-by-step explanation:

You are solving for n, and so isolate the variable. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS:

PEMDAS =

Parenthesis

Exponent ( & roots)

Multiplication

Division

Addition

Subtraction

---------------------------------------------------------------------------------------------------------

First, divide 180 from both sides

(S)/180 = (180(n - 2))/180

S/180 = n - 2

Next, to isolate the variable (n) completely, add 2 to both sides

(S/180) (+2) = n - 2 (+2)

(S/180) + 2 = n

n = (S/180) + 2 is your answer

~

Answer:

arcBC = 148° ; ∠ACD = 26°

Step-by-step explanation:

Note that these two problems given to us uses the "inscribed angle theorem", which states that the angle is 1/2 the measurement of a central angle. Keep in mind that the central angle's measurement is the same as it's projected arc, and so the inscribed angle would also be 1/2 the measurement of the projected arc. This works vice versa too. The projected arc would be twice as large as the inscribed angle's measurement.

~

Answer:

x=16

Step-by-step explanation:

we know that 3x+2=50 according to complemntary  angles.

3x=48

x=16

Answer:

3(m - 32.97) = 3.09

Step-by-step explanation:

She started with m money for each of the three children.

A pair of pants costs $12.99. Each polo shirt costs $9.99.

A pair of pants and 2 polo shirts cost

$12.99 + 2 * $9.99 = $12.99 + $19.98 = $32.97

For each child, she had m money and spent $32.97.

For each child, she had m - 32.97 money left.

For the three children, the amount of money left was 3(m - 32.97).

We are told that for the three children, the amount of money left is $3.09.

That means that 3(m - 32.97) must equal $3.09.

The equation is:

3(m - 32.97) = 3.09

Answer:

1

Step-by-step explanation:

first of all, use substitution.

3x + - 4x +10 =9

Then move all x's to one side.

10 = 9 + x

Move all normal numbers to one side

1 = x

Answer:

y=6

Step-by-step explanation:

Answer:

0.125

Step-by-step explanation:

you have half of box divide that by 4

Answer:

0,1.5

Step-by-step explanation:

y = 510 - 60x

We want to find the domain or the x values where x represents the time

We need to determine the possible values for x

Y cannot be greater than 510 or less than 0.  510 means they have not started the trip, and 0 means they have arrived

510 = 510 -60x

Subtract 510 from each side

510-510 = 60x

0 = 60x

The smallest value of x can be 0

0 = 510 - 60x

Subtract 510 from each side

-510 = 510-510-60x

-510=-60x

Divide by -60

-510/-60 = -60x/-60

8.5 = x

The maximum value of x is 8.5 hours

So x must be between 0 and 8.5 inclusive.

Answer:

1.5 and 0

Step-by-step explanation:

The domain is the set of all possible x-values that make the function work and generate real y-values.

y = 510 – 60x

y cannot be greater than 510, because that would mean they are not yet at their starting point.

y cannot be less than 0, because that would mean they have passed their destination

We can get an idea of the domain if we solve the function for x. We get

x=(510 – y)/60

If y = 510, x = 0.

If y = 0, x = 510/60 = 8.5.

Thus, the domain is 0 ≤ x ≤ 8.5.

The only numbers in your list that could be in the domain are 1.5 and 0.

10 and 60 are wrong, because they give negative values for y.

-3 is wrong, because it gives y > 510.

Answer:

The boy's feet are closer to the surface of the pool because negative 4 over 5 < negative 2 over 5.

Answer:

Its B

Step-by-step explanation:

the other guys is wrong i got it wrong so its b

I did the test trust me he's wrong

Answer:

The answer to your expression is 94.

Step-by-step explanation:

Given Expression -> 3 ( 7 - 5 ) + 8 ( 9 + 2 )

Order of Operations Parenthesis -> 3 ( 2 ) + 8 ( 11 )

Multiplcation Left to Right -> 6 + 8 ( 11 )

Multiplcation Left to Right -> 6 + 88

Addition -> 94

Final answer:

To evaluate the expression 3(7 - 5) + 8(9 + 2), we first solve the expressions within parentheses, then multiply, and finally add the results to get the answer, which is 94.

Explanation:

To evaluate the expression 3(7 - 5) + 8(9 + 2), we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).

Then we add the results of the multiplications: 6 + 88.

So, the expression 3(7 - 5) + 8(9 + 2) evaluates to 94.

Answer:  Explained.

Step-by-step explanation: We are familiar with the theory of probability and the Law of 'Large Numbers'.

According to this law, if same experiment is repeated a large number of times, then the average of the experimental results in each trial shoul be very close to the theoretical probability.

When Jake flipped the magic coin 100 times, the probability of getting hesd was 0.64.

When he flipped 500 times, the probability of getting head was 0.57.

When he flipped 1000 times, the probability of getting head was 0.58

and when he flipped 1500 times, the probability was 0.62.

Also, the theoretical probability of the magic coin coming up head is

[tex]p=\dfrac{1}{2}=0.5.[/tex]

Therefore, we see that as the number of experiments increases, the value becomes closer to the theoretical value which is 0.5.

Answer: x = 32 1/2

Step-by-step explanation:

2 1/3 divided by 9.1 = 10/39

8 1/3 divided by 10/39 = 32 1/2

8 1/3 divided by 32 1/2 = 2 1/3 divided by 9.1

Answer:

C. 6 ⋅ 9 + 1

Step-by-step explanation:

Start with the multiplication:

"one more than the product of six and nine"

6 ⋅ 9

Now take care of the addition by adding 1 to the product.

"one more than the product of six and nine"

6 ⋅ 9 + 1

Answer: C. 6 ⋅ 9 + 1

1.28/16=0.08  

8¢ per oz

1.92/32=0.06

6¢ per oz

2.56/64=0.04

4¢ per oz

3.36/96=0.035

3.5¢ per oz

The 96 oz orange juice for $3.36 costs the least per oz.

Answer:

D. $0.035 per ounce.

Step-by-step explanation:

We have been given a table. We are asked to find the container that costs the least per ounce.

Let us find per ounce cost of each container as:

A. [tex]\frac{\$1.28}{\text{16 oz}}=\frac{\$0.08}{\text{oz}}[/tex]

B. [tex]\frac{\$1.92}{\text{32 oz}}=\frac{\$0.06}{\text{oz}}[/tex]

C. [tex]\frac{\$2.56}{\text{64 oz}}=\frac{\$0.04}{\text{oz}}[/tex]

D. [tex]\frac{\$1.92}{\text{96 oz}}=\frac{\$0.035}{\text{oz}}[/tex]

Therefore, the container with 96 oz for $3.36 costs the least per ounce.

Answer:

1/2 is 0.5 as a fraction

Answer:

1/2

Step-by-step explanation:

Not sure how this got in the middle school math section, but basically dividing 1/2 will equal 0.5.

Some other alternatives to 1/2 are

2/4, 4/8

40/80

x/2x

55/110

Answer:

constant = 15

coefficient = 2.5

Step-by-step explanation:

A constant does not change value no matter what, and a constant's derivative is always 0. In this equation, 15 does not change with any variable, therefore it is the constant.

A coefficient is the number that comes before a variable. In the equation, r is a variable, and the number 2.5 comes before it, making it the coefficient.

Answer:

A = pi/2

Step-by-step explanation:

Area of a sector is given by

A = 1/2 r^2 theta when theta is given in radians

We know the area of the circle (pi * r^2) so we multiply by pi/pi

A = 1/2  pi/pi r^2 theta

A = 1/(2* pi)  * pi r^2 theta  

   =  1/(2* pi)  * Ac theta   where Ac is the area of a circle

Substituting what we know  Ac = 9 pi and theta = 1/9 * pi

A    =  1/(2* pi)  * 9*pi  1/9 * pi

A = 1/(2* pi)  * pi^2

A = 1/2 * pi

A = pi/2

Answer:

Its [tex]\frac{\pi }{2}[/tex] .

Step-by-step explanation:

Because the work shown below will show you how:

[tex]\frac{\theta}{2\pi } = \frac{A_s}{A_c}\\\frac{1}{9} /2\pi = \frac{A_s}{9\pi } \\\frac{1}{18} = \frac{A_s}{9\pi } \\\frac{1}{18} * 9\pi = A_s\\=\pi/2[/tex]

Answer:

The 7 in 172,416 is placed in the Ten-Thousands place. That is the place value.

I hope i am correct.