How can properties of linear pairs and vertical angles help determine the angle measures created by the intersecting lines?

Step-by-step explanation:

Before we find the ninth term, we need to find the common ratio. The common ratio in a geometric sequence is the number that every number after the first one is multiplied by. For example, in the sequence {2, 4, 8, 16, 32, ...}, the common ratio is 2.

Now, for our example, the numbers in the sequence alternate between negative and positive numbers. What does that tell us about the common ratio? Well, the common ratio has to be negative because the negative sign keeps alternating.

So we know the common ratio is negative. But what about the rest of the number? Well, we can see that the ratio has a 1 in the numerator because the numerator is the same throughout the sequence (aside from the alternating negative sign).

Now that we've narrowed down the possibilities to -1/x, let's figure out the denominator of the common ratio. The denominator changes from 3 to 9 to 27 to 81. Do you see a pattern there? Each denominator is 3 times the value of the previous denominator. The denominator of the common ratio, then, must be 3.

Ok. We have our common ratio, -1/3, but the question we still need to find the 9th term in the sequence. Well, we can write out the pattern until we get to the term we want. But what if you were trying to find the one hundredth or the one thousandth term? That would take a very long time to write out. Instead, we can take the first number in the sequence (1/3) and multiply it by the our common factor to the power of the remaining terms. As a formula, this looks like: [tex]a_{1} *f^{n-1} = a_{n}[/tex], where a is your first term, f is your common factor and n is the number of the term you are trying to find.

So, finally, we can solve the problem.

1/3 * (-1/3)⁸ = a₉

1/3 * 1/6561 = 1/19683

So the value of the ninth term of the given geometric sequence is 1/19683.

I hope you learned something and it wasn't too difficult to understand.

Answer:

^^ what he said xD

Step-by-step explanation:

It was snowing again and I smiled as I stared at the white flakes fluttering by my window. It was (capitalized the C)Christmas, and my day had been one of the best all year. First I (had removed) awakened in the morning to the sound of my brother (added the n to runing)running madly around the house, yelling that it was Christmas. Jumping out of bed, (capitalized the i that was there)I skipped happily down the stairs, with my brother at my heels, and made my way to the Christmas tree in the living room. My parents(apostrophe removed from between the t and s) groggily walked down the stairs to watch us open (up removed) our presents. My Mom sat down on the couch and dad plopped himself on the floor, grumbling something about coffee. I started opening my presents because, after all, its ladies first. Ripping open the wrapping paper, I stared down at my brand(removed dash)new pink boom box. It was beautiful!(question mark changed to exclamation) (capitalized e)Even more, it came with little, stick-on jewels to decorate the boom box. Mom and Dad finally got their coffee and we all took turns watching each other open presents. I got(get turned to got) many more presents that were absolutely amazing. (changed every one into one word)Everyone spends the rest of the day admiring their gifts and playing with their new toys. "I will remember this Christmas forever,"(added endnote) I thought. (capitalized s)Sighing contentedly, I finally turned away from the snow (removed the e from what was danceing)dancing outside the window and rejoined my family.

Answer:

A = 0.50j + 6.......u r correct

he started with 6....and he is selling each cup (j) for 0.50

so lets say he sold 10 cups...u would sub in 10 for j

A = 0.50(10) + 6

A = 5 + 6

A = 11......and he would have $ 11

Answer:

$713.8

Step-by-step explanation:

14%of 860 = 120.4

3% of 860 = 25.8

so, subtract the sum of the above 2 values from 860.

860 - (120.4+25.8) = 860-146.2 = 713.8

Hope this helps

Answer:

$713.008

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

There are 36 possible outcomes when rolling 2 die

P( number) = number of times the sum appears / total outcomes

p(1) =0/36

P(2) = 1/36

p(3) = 2/36

p(4) = 3/36

p(5) = 4/36

p(6) = 5/36

p(7) = 6/36

p(8) = 5/36

p(9) = 4/36

p(10) = 3/36

p(11) = 2/36

p(12) = 1/36

Since he picked first he has the greatest odds so he is most likely to win

Answer:

The solution of the given equation is x = -4

Step-by-step explanation:

Explanation:-

Given expression 4 x - (x +2) +6 = 2 (3 x+8)

Step(i):-

4 x - (x +2) +6 = 2 (3 x+8)

4 x - x -2 + 6 = 6 x + 16

step(ii):-

    3 x + 4  = 6 x + 16

subtracting '4' on both sides , we get

   3 x + 4 - 4 = 6 x + 16 - 4

   3 x = 6 x + 12

Step(iii):-

Subtracting '6x' on both sides , we get

3 x - 6 x = 6 x - 6 x + 12

  - 3 x = 12

Step(iv):-

Dividing '-3' on both sides , we get

        [tex]\frac{-3x}{-3} = \frac{12}{-3}[/tex]

        x  = - 4

Final answer:-

The solution of the given equation is x = -4

Verification:-

4 x - (x +2) +6 = 2 (3 x+8)

put x = -4

4 ( -4) - ( - 4 +2) +6 = 2 (3(-4)+8)

-16+2+6 = 2 (-12+8)

-8 = -8

Both are equal  

Answer:

For everyone on Edge, It's A: He distributed incorrectly.

Step-by-step explanation:

he didn't distribute at all so  

im pretty sure.

The fraction (13/10) can be used as the multiplier to find the length of the new side.

Suppose the length of the side of a square is x.

The new length of the side of the square after an increment of 30%

= x+ (30% of x).

The percentage is the value per hundred.

So, 30% of x = 30*x/100 =0.3x

So, new length of the side = x+0.3x =1.3x

We can represent 1.3x as (13/10)x

This means we have multiplied the previous length by the fraction 13/10 in order to get an increment of 30%.

Thus, The fraction (13/10) can be used as the multiplier to find the length of the new side.

To get more about the percentage visit:

https://brainly.com/question/24304697

Answer:

[tex] \boxed{D. \: (f-g)(x) = {x}^{2} + 4x + 3} [/tex]

Given:

[tex]f(x) =2 {x}^{2} - 5 \\ g(x) = {x}^{2} - 4x - 8[/tex]

To find:

[tex](f - g)(x) = f(x) - g(x)[/tex]

Step-by-step explanation:

[tex] \implies(f - g)x = f(x) - g(x) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (2 {x}^{2} - 5) - ( {x}^{2} - 4x - 8) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (2 {x}^{2} - 5) + (- {x}^{2} + 4x + 8) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 {x}^{2} - 5 - {x}^{2} + 4x + 8 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 {x}^{2} - {x}^{2} + 4x - 5 + 8 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {x}^{2} + 4x + 8 - 5 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {x}^{2} + 4x + 3[/tex]

Answer:

36.5 is the answer

Hope this helps!

Step-by-step explanation:

Let the actual pressure be x

The actual pressure is 100% of x

The pressure is showing 8% more

So the pressure showing now is the actual pressure + the extra pressure

= 100%+8% = 108%

= 108/100

So the equation is:

108/100 x = 39.42

108x = 39.42*100

108x = 3942

x= 3942/108

= 36.5

Therefore the actual pressure is 36.5

Answer:

[tex]58[/tex]

Step-by-step explanation:

[tex]-7n+366[/tex]

[tex]-7(44)+366[/tex]

[tex]-308+366[/tex]

[tex]=58[/tex]

Answer:

We just have to do 15 ÷ 15/4 = 15 * 4/15 = 4.

Answer:

For each x increase of 1, the y increases by a common factor of 3. (second answer listed)

Step-by-step explanation:

Notice that you have not provided the graph that the problem involves, but from the description of what the y behavior is when x increases by one, one can deduct if an exponential pattern applies.

Out of the four examples given, only one of them represents an exponential growth. Such type of growth has to include a common multiplicative factor (the base of the exponent), since the function has to be of the form:

[tex]f(x)=a\,\,b^x[/tex]

to be called exponential.

So every time that x increases by one unit, the following happens:

[tex]f(x+1)=a\,\,b^{(x+1)}\\f(x+1)= a\,\,b^x\,\,b[/tex]

So notice that the original function ends up being just multiplied by the common factor "b".

The other options don't describe such behavior.

Answer:

For each x increase of 1, the y increases by a common factor of 3.

Step-by-step explanation: hope it helps ^w^

Answer:

n = 20

Step-by-step explanation:

cross multiply and divide

18n = 360

n = 20

Answer:

12 divided by -6

Step-by-step explanation:

12÷(-6) (3) + (-2)

PEMDAS

P  There are no operations inside the parentheses

E There are no exponents

MD  Multiply and divide from left to right

12 divided by -6 is the first from left to right

Answer: Eddie had lunch later than Fatimah.

Step-by-step explanation: Eddie had lunch at 10 minutes to one, which is 12:50. Fatimah had lunch at 11:45. So if you subtract 11:45 from 12:50, you find that Eddie had lunch 1:05 later than Fatimah.

Answer:

Eddie had lunch later.

He had lunch 1 hour 5 minutes later

Step-by-step explanation:

Eddie had lunch 10 min before 1

which means at 12 50.

Fatimah had lunch at 11 45 . Earlier than Eddie.

Eddie had lunch after her.

and How much later?

11 45 to 12 45 is 1 hour.

12 45 plus 5 minute is 12 50.

so it is 1 hour 5 minute

Answer:

first 3

Step-by-step explanation:

Answer:

A B C and D are all true not the last one!

Step-by-step explanation:

m2.24

Step-by-step explanation:

I did the math and got 2.236 and rounded it and got 2.24.

Answer:

  a.  0.15%

Step-by-step explanation:

The Z-score of 940 pounds is ...

  (X -µ)/σ = (940 -3550)/870 = -3

The empirical rule tells you that 99.7% of the normal distribution lies within Z = ±3. Half of the remaining 0.3% lies below Z = -3, which is the set of weights of interest.

The probability that a car weighs less than 940 lbs is about 0.15%.

Answer:

72

Step-by-step explanation:

The sum of exterior angles is 360

360-57-68-32-59-72 =. 72

Answer:

The domain is {0.5, 1, 1.5, 2}

The range is {1.9, 3.8, 5.7, 7.6}

Step-by-step explanation:

The cost, y is in dollars, and x in pounds of almonds is shown in the  table.

x (pounds)                 y ($)

0.5                               1.9

1                                   3.80

1.5                                5.70

2                                  7.60

The grocery store sells almond at $3.80 per pound, the relation between y and x is given by the function:

y = 3.8x

The x values are the independent variables and they serve as the input of the function while the y values are the dependent variables (dependent on x) and the serve as the output of the function.

The domain consist of input values which is the x values. The domain is {0.5, 1, 1.5, 2}

The range consists of all output values i.e the y values. The range is {1.9, 3.8, 5.7, 7.6}

Any number of pounds of almonds can be purchased, including partial amounts, so the relation described in the table is continuous.

Because x can be any positive number of pounds, the domain of the relation is x ≥ 0, or x-values greater than or equal to 0.

Because y can be any positive dollar amount, the range of the relation is y ≥ 0, or y-values greater than or equal to 0.

constant it will keep going up and it won't stop

In the graph, the line is increasing from left to right. Therefore, option A is the correct answer.

We need to check whether the given graph is increasing, decreasing, or constant.

Increasing: A function is increasing, if as x increases (reading from left to right), y also increases. In plain English, as you look at the graph, from left to right, the graph goes uphill. The graph has a positive slope.

From the given graph we can see that the line is increasing from left to right.

In the graph, the line is increasing from left to right. Therefore, option A is the correct answer.

To learn more about the graphs visit:

https://brainly.com/question/16608196.

#SPJ5

Answer:

C

Step-by-step explanation:

Hopefully

C

I did it on edge hopefully this helps you and don't think i copied the other person

Answer:

[tex]f(x)=-3x^2[/tex]

Step-by-step explanation:

A quadratic function is a function in which its degree (Highest power of the variable) is 2.

[tex]f(x)=-3x^2[/tex] is the function that has a degree of 2.

Answer:

15.23 m

Step-by-step explanation:

The problem given describes the shape of a right angled triangle.

From the diagram below:

The height of the tree is the opposite = 6 m

The distance of the flower from the base of the tree = adjacent = 14 m

The distance the bird must fly to get from the nest to the flower = hypotenuse = h

According to Pythagoras rule:

[tex]hyp^2 = opp^2 + adj^2[/tex]

Therefore:

[tex]h^2 = 6^2 + 14^2\\\\h^2 = 36 + 196\\\\h^2 = 232\\\\h = \sqrt{232} \\\\h = 15.23 m[/tex]

The bird will have to fly 15.23 m to get from its nest to the flower in a direct path.

57+3x+6=90degree

60+3x=90

3x=90-60

3x=30

x=30/3

x=10

Answer:

[tex] \boxed{x \degree = 9 \degree} [/tex]

Step-by-step explanation:

[tex] = > 90\degree + 57\degree + (3x + 6)\degree = 180\degree \\ \\ = > 57\degree + (3x + 6)\degree = 180\degree - 90\degree \\ \\ = > 57\degree + (3x + 6)\degree = 90\degree [/tex]

Two Angles are Complementary when they add up to 90° (a Right Angle).

[tex] = > 57 \degree + (3x + 6) \degree = 90 \degree \\ \\ = > 57 \degree + 3x \degree + 6 \degree = 90 \degree \\ \\ = > 63 \degree + 3x \degree = 90 \degree \\ \\ = > 3x \degree = 90 \degree - 63 \degree \\ \\ = > 3x \degree = 27 \degree \\ \\ = > x\degree = \frac{27}{3}\degree \\ \\ = > x\degree = 9\degree[/tex]

Answer:

5 p.m.

Step-by-step explanation:

Newton's law of cooling-

[tex]T(t)=t_a+(t_0-t_a)e^{-kt}[/tex]

where,

[tex]t_0[/tex] = the initial temp. = 98.6 F (human body temp.)

k = 0.1947,

T(t) = 66 F,

[tex]t_a[/tex] = 55 F,

Putting the values,

[tex]\Rightarrow 66=55+(98.6-55)e^{-0.1947\cdot t}\\\\\Rightarrow 66=55+(43.6)e^{-0.1947\cdot t}\\\Rightarrow (43.6)e^{-0.1947\cdot t}=11\\\Rightarrow e^{-0.1947\cdot t}=\dfrac{11}{43.6}=0.2523\Rightarrow \ln e^{-0.1947\cdot t}=\ln 0.2523\\\Rightarrow -0.1947\cdot t\times \ln e=\ln 0.2523\\\Rightarrow -0.1947\cdot t\times 1=\ln 0.2523\\\Rightarrow t=\dfrac{\ln 0.2523}{-0.1947}\\\Rightarrow t=7\ h[/tex]

Therefore, the time of death was 7 hours before midnight i.e at 5 pm.

Answer:

for the first one they are opposite angles so they are the same degrees so x=15 I forget adjacent angles so idk the second one sorry

Answer:

4,000,000,000,000

Step-by-step explanation:

Make it look like this first:

[tex]\frac{6*10^8}{1.5*10^-4}[/tex]

You get:

[tex]4*10^{12}[/tex]

Which is 4,000,000,000,000

Answer:

x= 1

Step-by-step explanation:

5x - 12 = x - 8

Subtract x from each side

5x -12 -x = x-8-x

4x -12 = -8

Add 12 to each side

4x-12+12 = -8+12

4x = 4

Divide each side by 4

4x/4 = 4/4

x = 1