What is the common ratio for the geometric sequence?
24,−6,32,−38,...

Answer:

All systems have 2 real solutions.

Step-by-step explanation:

there are X and Y unknowns.

The general form of an equation in slope intercept form is ;

y= mx + c where m is the gradient and c is the y-intercept

The equation given is : y = -9x-81 ------this means the slope is -9

This is determined from the general equation ;

y = m x + c

y= -9 x - 81

where -9 is the gradient

Because the two lines are parallel, it means the other equation should have a slope of -9, thus apply the formula for slope give point {-2,-8}

m= change in y-coordinates value / change in x coordinate values

-9 = y --8/x--2

-9 = y+8 /x+2

-9 {x+2} = y+8

All the solutions are,

 a) 708.00

 b) 108.00

 c) 11

Now,

a) The cost is $59 for each of 12 months, so the total cost is,

⇒  12 × $59

⇒ $708

b) The "carrying charges" are the difference between what is paid and the cash price:

Hence, We get;

= $708 -600

= $108

c) Saving at the rate of $59 per month, it will take,

⇒ $600/($59/month)

≈ 10.17 mo

Therefore, To save the money, the amount saved will be $590, or $10 short of the required amount after 10 months, so it will take 11 months to save enough for the cash purchase.

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ12

Complete question is,

Choose the correct answers for (a) the total installment price, (b) the carrying charges, and (c) the number of months needed to save the money at the monthly rate to buy the item for its cash price a TV with a cash price of $600 at $59.00 per month for 12 months

A. the choices are

708.00

698.00

688.00

B. the choices are

88.00

108.00

98.00

C. the choices are

10

11

9

Answer:

A linear function that relates y to x is:

\(y\:=\:\frac{2}{3}x\:+\:5\)

The graph of the linear function is also attached.

Step-by-step explanation:

Given the table

x          -3           0              3             6

y          3           5               7            9

The slope-intercept form of the line equation

\(y = mx+b\)

where

Taking two points (-3, 3) and (0, 5) from the table to determine the slope of the linear function

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

                 =  [5 - 3] / [0 - (-3)]

                 = 2 / 3

Thus, the slope of the line = m = 2/3

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

From the table, it is clear

at x = 0, y = 5

Thus, the y-intercept b = 5

substituting m = 2/3 and b = 5 in the slope-intercept form of the line equation

\(y = mx+b\)

\(y\:=\:\frac{2}{3}x\:+\:5\)

Therefore, a linear function that relates y to x is:

\(y\:=\:\frac{2}{3}x\:+\:5\)

The graph of the linear function is also attached.

Range of the value of the game played:To get the range of the value of the game played, we have to find the minimum and maximum possible scores. Minimum score of the game: The minimum score is when both teams play their strongest defense strategy.

For Letran, their strongest defense strategy is the Man-to-man defense and for Mapua, their strongest defense strategy is the Half-court Press defense.Using these defense strategies, Letran can get a score of 45 and Mapua can get a score of 30.Thus, the minimum possible score is 45 + 30 = 75.Maximum score of the game: The maximum score is when both teams play their weakest defense strategy.

For Letran, their weakest defense strategy is the Press defense and for Mapua, their weakest defense strategy is the Man-to-man defense.Using these defense strategies, Letran can get a score of 55 and Mapua can get a score of 40.Thus, the maximum possible score is 55 + 40 = 95.Therefore, the range of the value of the game played is 75 to 95.b) To find the defense strategy in which Letran is weak, we have to see which defense strategy allows Mapua to get the highest score.

To know more about value visit :

https://brainly.com/question/30145972

#SPJ11

The standard error of the sampling distribution is approximately 0.028.

The standard error measures the variability or dispersion of sample statistics around the population parameter. To calculate the standard error of the sampling distribution, we use the formula SE = sqrt((p * (1 - p)) / n), where SE represents the standard error, p is the population parameter, and n is the sample size. Substituting the given values, with p = 0.1 and n = 115, we can calculate the standard error. Therefore, the standard error of the sampling distribution is approximately 0.028, rounded to three decimal places.

Learn more about Sampling

brainly.com/question/27860316

#SPJ11

The measure of CFE is 28^o.

When the measures of two or more angles add up to the sum of angle on a straight line i.e. 180^o, then the set of angles are said to be supplementary.

Given point F on line CD in the question, we have;

<CFE + <DFE = 180^o  (definition of supplementary angles)

So that;

<CFE + 152 = 180

<CFE = 180 - 152

         = 28

<CFE = 28^o

Therefore, the measure of <CFE is 28^o.

Learn more about supplementary angles at https://brainly.com/question/12919120

#SPJ1

Answer:

5 × 5

Step-by-step explanation:

the area (A) of a square is calculated as

A = s² ( s is the side length ) , then

A = 5² = 5 × 5 = 25 in²

Answer:

Step-by-step explanation:

5, 5, 5, 16, 16, 28, 29, 32, 35, 48

Mode: 5, 16

Median: 44/2 = 22

range: 48 - 5 = 43

mean: (5 + 5 + 5 + 16 + 16 + 28 + 29 +32 + 35 + 48)/10 = 219/10 = 21.9

Answer:

\(E(n)=75000 \times 2^n\)

Complete question:

write a function that gives mapiyas cumulative earnings E(n), in dollars when she has written n sequel's

Step-by-step explanation:

According to the question, she earned $75000 for the first book.

Also,We are  given that her cumulative earnings double with each sequel that she writes.

Assuming she has written n sequel's

Now since we are given that her cumulative earnings double with each sequel

So, her initial earning will be \(2^n\) times

So, her earning will be : \(75000 \times 2^n\)

Now we are given that cumulative earnings is denoted by E(n)

So, the function becomes :\(E(n)=75000 \times 2^n\)

Hence a function that gives Mapiya's cumulative earnings E(n), in dollars when she has written n sequel's  is  \(E(n)=75000 \times 2^n\)

Given the data on the length of the metacarpal bone (X) and the height (Y) of 22 sets of skeletal remains, we are asked to find the random variables, the equation of the best-fitting line (least squares regression equation), interpret the slope and Y-intercept, predict the height for a given length of metacarpal, and compute the residual for a specific data point (47, 172).

(a) The random variables are X (length of metacarpal) and Y (height).

(c) To find the equation of the best-fitting line, we need to perform linear regression. Using the given data, we calculate the slope (β₁) and the Y-intercept (β₀) of the regression line. The equation will be in the form ^Y = β₀ + β₁X.

(d) The slope (β₁) represents the expected change in Y (height) for every 1-unit increase in X (length of metacarpal). Its interpretation will include the units of Y divided by the units of X.

(e) The Y-intercept (β₀) represents the expected height when X (length of metacarpal) is 0. The interpretation will include the units of Y.

(g) To compute the residual for the ordered pair (47, 172), we substitute X = 47 into the regression equation ^Y = β₀ + β₁X and subtract the actual Y-value (172). The residual is the difference between the predicted and observed Y-values.

To provide specific numerical values for the equations and predictions, the original data and calculations are needed.

Learn more about interpretation here: brainly.com/question/32248669

#SPJ11

Step-by-step explanation:

Well, let's walk through it, shall we?

3x − 5 = 4 + 3x

Our first step is to simplify both sides of the equation.

3x − 5 = 4 + 3x

3x + −5 = 4 + 3x

3x − 5 = 3x + 4

Then, we subtract 3x from both sides.

3x − 5 − 3x = 3x + 4 − 3x

−5 = 4

FInally, we'll add 5 to both sides.

−5 + 5 = 4 + 5

0 = 9

In conclusion, your answer is:

This would be false. x = -3 is not a solution to 3x - 5 = 4 + 3x

Answer:

interval notation x cannot equal 5

Step-by-step explanation:

The class width can be calculated by subtracting the lower-class limit from the upper-class limit.  By subtracting the lower-class limits from the upper-class limits gives us 10, 10, and 10so the class width is 10.

The class width can be calculated by subtracting the lower-class limit from the upper-class limit.

In this case, the lower-class limits are 40, 50, and 60, and the upper-class limits are 50, 60, and 70.

Subtracting the lower-class limits from the upper-class limits gives us 10, 10, and 10.

Therefore, the class width is 10.

Know more about upper-class limits here:

https://brainly.com/question/30336091

#SPJ11

The class-width for this frequency distribution is 10. Each class interval spans 10 units.

The class-width refers to the size or width of each class interval in a frequency distribution. To find the class-width, you need to determine the range of the data and divide it by the number of classes.

In this case, the given frequency distribution includes three class intervals: 40 up to 50, 50 up to 60, and 60 up to 70. The range of the data can be found by subtracting the lower limit of the first class from the upper limit of the last class. So, the range is 70 - 40 = 30.

To find the class-width, divide the range by the number of classes. Since there are three classes, divide 30 by 3:

30 ÷ 3 = 10

In summary, the class-width for the given frequency distribution is 10. This means that each class interval covers a range of 10 units.

Learn more about frequency distribution:

https://brainly.com/question/30369525

#SPJ11

(a) The ships are approximately  54 miles apart at 3:00 P.M.

(b) the    bearing from the first ship to the second is approximately N24.23°E

(a)   Let 's start by finding the distance each ship travels by 3:00 P.M.

The first ship has been traveling for 2hrs   and has traveled  25 miles/hr, so its distance from port is 50 miles.

The 2nd ship has been traveling for 1.5 hours and has traveled 15 miles per hour, so its distance from port is 22.5 miles.

To find the distance   between the ships , we can use the Pythagorean theorem.

distance = √ ((50)² + (22.5) ²)

≈ 54 miles

So the ships are approximately 54 miles apart at 3:00 P.M.

(b) We want to find angle θ, which is the bearing from ship A to ship B.

Using trigonometry, we can find

tan(θ) = opposite / adjacent

tan(θ) = 22.5 / 50

θ = tan⁻¹ 0.45

θ  = 24.227745317954169522385424019918

θ ≈   24.23°

So the bearing from the first ship to the second is approximately N24.23°E

Learn more about bearing:
https://brainly.com/question/28782815
#SPJ1

Hope you could understand.

If you have any query, feel free to ask.

Answer:

The volume of cylinder is 3416.32 in³.

Step-by-step explanation:

Given :

\(\begin{gathered}\end{gathered}\)

To Find :

\(\begin{gathered}\end{gathered}\)

Using Formulas :

\(\star{\small{\underline{\boxed{\sf{\pink{R = \dfrac{D}{2}}}}}}}\)

\(\star{\small{\underline{\boxed{\sf{\pink{Volume_{(Cylinder)} =\pi{r}^{2}h}}}}}}\)

\(\begin{gathered}\end{gathered}\)

Solution :

Here we have given that the diameter of cylinder is 16 in. So, finding the radius of cylinder by substituting the values in the formula :

\({\longmapsto{\sf{Radius_{(Cylinder)} = \dfrac{D}{2}}}}\)

\({\longmapsto{\sf{Radius_{(Cylinder)} = \dfrac{16}{2}}}}\)

\({\longmapsto{\sf{Radius_{(Cylinder)} = \cancel{\dfrac{16}{2}}}}}\)

\({\longmapsto{\sf{Radius_{(Cylinder)} = 8 \: in}}}\)

\(\star\underline{\boxed{\sf{\red{Radius_{(Cylinder)} = 8 \: in}}}}\)

Hence, the radius of cylinder is 8 in.

\(\begin{gathered}\end{gathered}\)

Now, finding the volume of cylinder by substituting the values in the formula :

\({\longrightarrow{\sf{Volume_{(Cylinder)} =\pi{r}^{2}h}}}\)

\({\longrightarrow{\sf{Volume_{(Cylinder)} =3.14 \times {(8)}^{2} \times 17}}}\)

\({\longrightarrow{\sf{Volume_{(Cylinder)} =3.14 \times {(8 \times 8)}\times 17}}}\)

\({\longrightarrow{\sf{Volume_{(Cylinder)} =3.14 \times {(64)}\times 17}}}\)

\({\longrightarrow{\sf{Volume_{(Cylinder)} =3.14 \times 64\times 17}}}\)

\({\longrightarrow{\sf{Volume_{(Cylinder)} =200.96\times 17}}}\)

\({\longrightarrow{\sf{Volume_{(Cylinder)} =3416.32 \: {in}^{3}}}}\)

\(\star{\underline{\boxed{\sf{\red{Volume_{(Cylinder)} =3416.32 \: {in}^{3}}}}}}\)

Therefore, the volume of cylinder is 3416.32 in³.

\(\rule{300}{2.5}\)

The scale factor of the two rectangles is 1.5

According to Euclidean Plane Geometry, a rectangle is a quadrilateral with equal opposed sides and four right angles. In other words, a rectangle is a parallelogram with a right angle of 90 degrees or an equiangular quadrilateral (i.e., 360°/4 = 90°). A rectangle is referred to as a square if its four sides are all the same length.

The ratio of the matching side lengths of two comparable figures is known as the scale factor. We know that the ratio of the respective side lengths of the two rectangles equals equivalent to r since Rectangle A and Rectangle B are similar to one another by the scale factor r.

We can set up the following ratio to determine the scale factor if the lengths of rectangles A and B are 1.5r+2.25 units and 3 units, respectively.

(1.5r+2.25) / 3 = r

Solving for r, we get:

r = (1.5r + 2.25) / 3

multiply both sides of the equation by 3

3r = 1.5r + 2.25

Subtract 1.5r from both sides

1.5r = 2.25

divide both sides by 1.5

r = 2.25/1.5

r = 1.5

Therefore, the scale factor of the two rectangles is 1.5.

To know more about rectangles visit: https://brainly.com/question/29123947

#SPJ4

Answer:240

Step-by-step explanation: Formula equaled to 240,

Answer:

\(x = 3\)

Step-by-step explanation:

\(1 0x -3 + 3 = 5 + 1 2 + 3\)

\(1 0 x = 5 + 1 5\)

\(1 0 x - 5x = 5 x + 1 5 - 5x\)

\(5x=15\)

\(\frac{5x}{5} = \frac{15}{5}\)

\(x = 3\)

A quarterback throws an incomplete pass. The height of the football at time t is modeled by the equation h(t) = –16t² + 40t + 7. Rounded to the nearest tenth, the solutions to the equation when h(t) = 0 feet are –0.2 s and 2.7 s.

the solution to be eliminated is -0.2s this is because time do not have negative values

ax² + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a.

It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be real or complex.

Considering the given function, the answer is both real one is negative the other is positive.

The solution in this case represents time, and time of negative value do not apply in real life

Learn more about quadratic equation at:

https://brainly.com/question/1214333

#SPJ1

Answer:

Points R(4,1) S(7,3) T(6,4) after translation

R(4-3, 1) S(7-3, 3) T(6-3, 4)

R'(1, 1) S'(4, 3) T'(3, 4)

Points R'(1, 1) S'(4, 3) T'(3, 4) after reflection

R''(1, -3) S''(4, -5) T''(3, -6)

Step-by-step explanation:

Answer:Step-by-step explanation:Points R(4,1) S(7,3) T(6,4) after translation R(4-3, 1) S(7-3, 3) T(6-3, 4) R'(1, 1) S'(4, 3) T'(3, 4) Points R'(1, 1) ...

The circumference of the circle is 23.864 feet.

The circumference of a circle is the length of the arc of the circle, which if opened and straightened will become a line segment.

It can be calculated using this formula:

C = 2 π r = π d

where r is the radius, d is the diameter, and C is the circumference of the circle.

Now we use the formula for the problem:

C = π d

= 3.14 x 7.6

= 23.864 feet

Thus, the circumference of the circle is 23.864 feet

To learn more about the circumference of a circle, click here: https://brainly.com/question/16020490

#SPJ4

Isaiah's thinking is correct. Compound interest does earn $341.95 more than simple interest in 60 months.

Let P be the principal amount of $7,000

Let r be the annual interest rate of 6%

Let n be the number of compounding periods per year.

Using formula for simple interest: I = Prt, the interest earned after 60 months is:

I = 7,000 × 0.06 × 5

I = $2,100.

Using formula for compound interest \(A = P(1 + r/n)^{nt}\). The amount after 60 months with monthly compounding is:

\(A = 7,000*(1 + 0.06/12)^{12*5}\\A = 7,000*1.34885015255\\A = 9441.95106785\\A = $9441.95\)

The interest earned is:

I = A - P

I = $9441.95 - $7,000

I = $2,441.95.

The difference in interest earned between compound and simple interest is:

= $2,441.95 - $2,100

= $341.95.

Read more about Interest

brainly.com/question/25793394

#SPJ1

Answer:

Inductive reasoning is the opposite of deductive reasoning. Inductive reasoning makes broad generalizations from specific observations. Basically, there is data, then conclusions are drawn from the data. ... Even if all of the premises are true in a statement, inductive reasoning allows for the conclusion to be false.

Step-by-step explanation:

Answer:

I am confused on what you getting here?

If you can explain I can edit the answer And try to do it?

Step-by-step explanation:

Answer:

Step-by-step explanation:

(x - 2) (3x + 1) (4x – 3)=

12x^3-29x^2+7x+6

 Foil the binomials.

x*3x x*4x etc