If the given sequence is a geometric sequence, find the common ratio.

3/3, 3/12, 3/48, 3/192, 3/768

a. 4

b. 1/30

c. 30

d. 1/4

Answer:

Write the equation as n+31=113 and subtract 31 from both sides. The answer is 82.

Step-by-step explanation:

Let

n ----> the number

we have that

The equation is equal to

n+31=113

solve for n

subtract 31 both sides

n+31-31=113-31

n=82

Answer:Write the equation as n+31=113 and subtract 31 from both sides. The answer is 82.

Step-by-step explanation:

Answer:

8,000 - 24x

Step-by-step explanation:

Let

y ----> depreciated value of the car

x---> rate of depreciation

t ----> the time in months

we know that

The linear equation that represent this situation is

y=8,000-xt

For

t=2 years=2*12=24 months

substitute

y=8,,000-x(24)

y=8,000-24x

Answer: 8,000 - 24x

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

Just graph these functions lol...

Answer:

  all points in the 1st and 3rd quadrants (not including the x- and y-axes).

Step-by-step explanation:

The product of positive numbers will be greater than 0, as will the product of two negative numbers. Both coordinates are positive in the first quadrant; both are negative in the third quadrant.

The quadrant boundaries, x=0, y=0, are excluded from the solution set.

Answer:

Step-by-step explanation:

x intercepts include

(-1/2,0)

y intercepts include

(0,-3)

Hope that Helps!

[tex]\bf ~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$625\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ t=years\dotfill &12 \end{cases} \\\\\\ A=625e^{0.07\cdot 12}\implies \implies A=625e^{0.84}\implies A\approx 1447.73[/tex]

The investment will be $1447.73 worth in 12 years.

Continuous compounding exists the mathematical limit that compound interest can reach if it's calculated and reinvested into an account's balance over a theoretically infinite number of terms. While this exists not possible in practice, the vision of continuously compounded interest stands important in finance.

Since, the amount formula is compounded continuously,

[tex]$$A=P e^{r t}$$[/tex]

Where,

P is the principal amount,

[tex]$\mathbf{r}$[/tex] is the rate per period,

t is the number of periods,

e is Euclid number,

Here, [tex]$P=\$ 625$[/tex],

[tex]$$r=7 \%=0.07 \text {, }$$[/tex]

t=12 years

Thus, the amount after 12 years would be,

[tex]$$A=625 e^{0.07 \times 12}=625 e^{0.84}=\$ 1447.72936049 \approx \$ 1447.73$$[/tex]

Hence, $1447.73 will the investment be worth 12 years.

To learn more about continuous compound interest refer to:

https://brainly.com/question/27778743

#SPJ2

Answer:

C.11.2

Step-by-step explanation:

The distance between 2 points is given by

d = sqrt( (x2-x1)^2 + (y2-y1)^2)

   = sqrt( ( -2-0)^2 + (-7-4)^2)

   = sqrt( (-2)^2 + (-11)^2)

  = sqrt( 4 + 121)

  = sqrt(125)

 = 11.18033989

To the nearest tenth

11.2

We have [tex]f(7)=8918[/tex]. By the definition of continuity, we require that

[tex]\displaystyle\lim_{x\to7}f(x)=f(7)[/tex]

So for any [tex]\varepsilon>0[/tex], we want to find sufficient [tex]\delta[/tex] for which

[tex]0<|x-7|<\delta\implies|f(x)-8918|<\varepsilon[/tex]

We have

[tex]|5x^4-9x^3+x-7-8918|=|5 x^4 - 9 x^3 + x - 8925|=|x - 7||5 x^3 + 26 x^2 + 182 x + 1275|[/tex]

Suppose we let [tex]0<\delta\le1[/tex]. Then

[tex]|x-7|\le1\implies x\le8[/tex]

so that

[tex]|5 x^3 + 26 x^2 + 182 x + 1275|\le5|x|^3+26|x|^2+182|x|+1275\le6955[/tex]

[tex]\implies|5x^4-9x^3+x-7-8918|\le6955|x-7|<\varepsilon[/tex]

[tex]\implies|x-7|<\dfrac\varepsilon{6955}[/tex]

which suggests that it suffices to choose

[tex]\delta=\min\left\{1,\dfrac\varepsilon{6955}\right\}[/tex]

in order to meet the required condition.

Answer:

The solutions are x=8 and x=-4

Step-by-step explanation:

we have

[tex]\left|x-2\right|=6[/tex]

step 1

Find the first solution

case positive

[tex]+(x-2)=6[/tex]

[tex]x=6+2=8[/tex]

step 2

Find the second solution

case negative

[tex]-(x-2)=6[/tex]

[tex]-x+2=6[/tex]

[tex]x=2-6=-4[/tex]

Answer:a= 0.9, b= -1, c= -0.6, d= 0.2

Step-by-step explanation:

Answer:

A= 0.9

B= -1

C= -0.6

D= 0.2

Answer:

360

Step-by-step explanation:

n=?

1800° = sum of interior angles

Pentagon = 5 sides

n = 1800° ÷ 5

n = 360

Answer: [tex]n=12[/tex]

Step-by-step explanation:

You can observe that the formula for the sum of the interior angles of a polygon is:

[tex]sum=(n-2)180[/tex]

Where "n" is the number of sides of the polygon.

You know that the sum of the interior angles of  this polygon is 1,800 degrees. Therefore, you can find the number of sides by substituting this sum into the formula and then solving for "n".

Then:

[tex]1,800=(n-2)180\\\\\frac{1,800}{180}=n-2\\\\10=n-2\\\\10+2=n\\\\n=12[/tex]

Answer:

  D.  21

Step-by-step explanation:

The equation tells you xy = k. Substituting the given values, you get ...

  7·3 = k

  21 = k

Answer:

D) 21

Step-by-step explanation:

The given inverse variation equation is x.y = k, where k is the constant of proportionality.

Given: x = 7 and y = 3.

We need to find the constant variation, k.

To find the constant variation, k, plug in x = 7 and y = 3 in the given equation and simplify.

k = 7*3

k = 21.

Therefore, the constant of variation k = 21.

Answer is D) 21.

Answer:

she overlooked 30

Step-by-step explanation:

The number 30 appears on both her lists. Maria apparently overlooked that value.

Step-by-step explanation:

There are six unique letters.  Any of the six could be the first letter.  Once we've picked a first letter, that leaves 5 letters that could go second.  So on and so forth.  So the number of ways they can be arranged is:

6×5×4×3×2×1 = 720

The correct unscrambling is "worthy".  So the probability of randomly selecting this order from the 720 possible combinations is 1/720.

Answer:

  x = -11

Step-by-step explanation:

It is convenient to use 3·4 = 12 as a common denominator. That is, we can clear the fractions by multiplying the equation by 12.

  12(x +1)/2 -12(x +2)/3 = 12(x +3)/4

  6x +6 -4x -8 = 3x +9 . . . . . . simplify

  2x -2 = 3x +9 . . . . . . . . . . . . collect terms

  -11 = x . . . . . . . . . . . . . . . . . . add -9-2x

_____

Check

  (-11+1)/2 -(-11+2)/3 = (-11+3)/4 . . . . substitute -11 for x in the original

  -10/2 - (-9/3) = -8/4 . . . . . . . . . . . . simplify

  -5 +3 = -2 . . . . . . . . . . true

Answer:

(3,-5

Step-by-step explanation:

x=3 y=-2*3+1=-5

Answer:

(7, .5)

Step-by-step explanation:

From the origin, our intersection is 7 units to the right where x is positive, so x = 7.  It appears that we are between y values of 0 and 1 at x = 7, so the coordinate that best represents the solution is (7, .5)

Answer:

  108 ft²

Step-by-step explanation:

The product of length and width is ...

  (12 ft)(9 ft) = 12·9 ft·ft = 108 ft²

Answer:

3 cm

Step-by-step explanation:

Volume = Length x Width x Height

given that the volume = 36 cm³ ,length = 6 cm and width = 2 cm

Height = volume / (length x width) = 36 / (6x2) = 3 cm

Answer:

Volume is length x width x height.

The base is 12. (2x6)

Then you do 36/12

Finally your answer is 3.

Step-by-step explanation:

Answer:

88°

the total angle of hexagon is 720°

so 720-(120+120+172+125+95)=88

The total number of degrees in a hexagon is 720.

x + 172 + 120 + 95 + 120 + 125 = 720

x + 632 = 720

x = 720 - 632

x = 88

Answer:

  D)  20

Step-by-step explanation:

The sum of the heights of the bars (numbers of contestants) is ...

  1 + 1 + 5 + 6 + 4 + 2 + 1 = 20

The correct answer is A) 6.

To determine the number of contestants who participated in the final round of the competition, we need to analyze the bar graph provided in the question. Since the actual bar graph is not available in the text, we will assume that the number of states named by each contestant is represented by a separate bar in the graph.

 The question states that the contestants were asked to name as many states that begin with the letter M as they could. The states that begin with the letter M are Montana, Minnesota, Missouri, Mississippi, Massachusetts, and Michigan. There are a total of 6 such states

Given that there are 6 states that start with the letter M, the maximum number of states any contestant could have named correctly is 6. Therefore, each contestant is represented by a bar on the graph that corresponds to the number of states they were able to name, with the maximum possible value being 6.

Since the question asks for the number of contestants and we have established that there are 6 states beginning with the letter M, it follows that there must be 6 bars on the graph, each representing one contestant. Thus, 6 contestants participated in the final round of the competition.

 In conclusion, by understanding the context of the question and the constraints provided (the number of states beginning with the letter M), we can deduce that the number of contestants who participated in the final round is equal to the number of states that start with the letter M, which is 6. Hence, the correct answer is A) 6.

Answer:

Z =7

Step-by-step explanation:

The middle segment theorem of a triangle says that: A middle segment connecting two sides of a triangle is parallel to the third side and is half its length.

In this case, the middle segment connecting two sides of a triangle is Z.

This means that

[tex]Z = 0.5(14)[/tex]

Finally we have that:

[tex]Z =7[/tex]

The length of the middle segment is 7 units

Answer:

29

Step-by-step explanation:

Neoli can see 4 patients in an hour. (60 min)/(15 min) = 4

In the 8-hour work day, with no break, she could see (8 h)×(4 patients/h) = 32 patients.

However, her lunch break takes a time that is equivalent to the time for 3 patients.

Neoli can see 32 -3 = 29 patients per day on average.

Answer:

y= 250x + 2175

Step-by-step explanation:

the slope intercept form is y = mx + b so you would put 250 for the M because it depends on each policy he sells which is X so y = 250x + b and B is the fixed price of 2,175 so you would get Y = 250x + 2175 as your answer

Answer:

The required answer is [tex]y = 250x + 2175[/tex].

Step-by-step explanation:

Consider the provided information.

The base salary of Mr. Jensen is 2175.

The commission per policy is 250.

The slope intercept form is:

[tex]y = mx + c[/tex]

Where, m is slope and c is y intercept.

Let "x" be the number of policy Mr. Jensen sells and "y" is the total paycheck including the commission.  

[tex]y = 250x + 2175[/tex]

Therefore, the required answer is [tex]y = 250x + 2175[/tex].

Answer:

pepple with college degree live longer

Step-by-step explanation:

people with college degree live longer because they get to have a good job wich gives good income

Move all the terms involving the sine to one side, and all the numbers to the other:

[tex]9\sin(c)-2=\sin(c)-7 \iff 8\sin(c) = -5\iff \sin(c)=-\dfrac{5}{8} \iff c = \arcsin\left(-\dfrac{5}{8}\right)\approx 321.3[/tex]

Answer:

The slope is:

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

Step-by-step explanation:

The slope m of a line is calculated using the following formula

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Where the points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex]  are two points belonging to the straight line

Notice in the graph that the line passes through the points

(0, 2) and (2, -1)

Then the slope is:

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

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

You're gonna have to draw your own plot; let's fill in the table.

First let's count and sort the numbers;

2, 9, 10, 12, 14, 14, 15, 22, 32, 36, 43

n = 11

Median is the sixth one, in the middle:  14

Min: 2

Max: 43

Q1: For 11 points, the first quarter is between the 2nd and the 3rd: 9.5

Q3: Between 32 and 36: 34

Outlier? 43 maybe, hard to tell.

Mean: (2+9+10+12+14+14+15+22+32+36+43)/11 = 19

Range: from 2 to 43  

IQR: from 9.5 to 39.5

The mean doesn't get plotted in a box and whiskers plot.  The left whisker goes to the minimum, the left box Q1, the line through the box the median, the right box edge Q3, and the right whisker the maximum.

2.

I'm not really sure what they're talking about here, how about b for big blue squares, r for blue rectangles and s for small squares:

(5b + 6r + 10s) - (3b + 2r + 7s) = 2b + 4r + 3s

Answer:

x^4 - 15x^2 - 38x - 60.

Step-by-step explanation:

Writing it in factor form:

( x - 5)(x + 3) ( x - (-1 + 2i) )(x - (-1 - 2i))

There are 4 parentheses because  complex roots occur in pairs.

( x - (-1 + 2i) )(x - (-1 - 2i))

=  ( x + 1 - 2i) )(x +1 + 2i))

=  x^2 + x + 2ix + x + 1 + 2i - 2ix - 2i  + 4

= x^2 + 2x + 4.

So our polynomial is

( x - 5)(x + 3)( x^2 + 2x + 4)

=  (x^2 - 2x - 15)(x^2 + 2x + 4)

= x^4 + 2x^3 + 4x^2 - 2x^3 - 4x^2 - 8x - 15x^2 - 30x - 60

= x^4 - 15x^2 - 38x - 60.

Answer:

Option A is correct.

Step-by-step explanation:

2x+3y=25

4x+2y=22

Option A

2y = 22-4x

y = 11 -2x

Option B

2x = 25 -3y

x = 25/2 -3/2y

Option C

3y = 25 - 2x

y = 25/3 -2/3x

Option D

4x = 22 - 2y

x = 22/4 -2/4y

x = 11/2 -1/2y

In Option B,C and D we have fractions and for substitution the calculations will be complex.

But Option A has no fractions and solving by putting the value of y in equation 1 is easy.

So, Option A is correct.

Answer:

A

Sarita should solve for y in the second equation because the coefficients can be reduced by a common factor to eliminate the coefficient for y.

Step-by-step explanation: