Which equation is a quadratic model for the data set? Hint: Use a graphing calculator or a spreadsheet program.

Data table

Answer:

30:4,200

Step-by-step explanation:

About 35% of the songs Xavier downloaded were jazz songs. This was calculated by dividing the number of jazz songs (14) by the total number of songs (40) and then multiplying the result by 100.

Xavier downloaded a total of 40 songs. Out of these, 14 were jazz songs. To find the percentage of jazz songs out of the total, we need to divide the number of jazz songs by the total number of songs and then multiply the result by 100.

So, the calculation would be (14/40) * 100. When we do the math, we find that about 35% of Xavier's downloads were jazz songs.

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Answer:

The salesman sold $4,200 in goods.

Step-by-step explanation:

You can get this figure by taking the amount he earned and dividing it by his commission fraction.

$420 ÷ 1/10 = $4,200

Well, the base and height would still be applicable (essentially, base is just width and height is just, uh, height,)

So basically the area of one triangle is 0.5(7*6), which is 21

The area of one triangle is option c., 21.

Answer:

The answer is B or 21

Step-by-step explanation:

I took the assignment

Hi there! :)

Answer:

x>24

*The answer must have a positive sign and greater than symbol sign.*

Step-by-step explanation:

First, you switch sides.

[tex]x+18>42[/tex]

Then, you subtract by 18 from both sides of an equation.

[tex]x+18-18>42-18[/tex]

Finally, you subtract by the numbers from left to right.

[tex]42-18=24[/tex]

Final answer is x>24

I hope this helps you!

Have a nice day! :)

-Charlie

:D

Answer:

270 feet

Step-by-step explanation:

From the sequence given, we can see that the asteroid travels 36 feet more with each second. (as seen [tex]54-18=36[/tex] and [tex]90-54=36[/tex] etc.)

So 5th second, it will travel: [tex]126+36=162[/tex]

6th second, it will travel: [tex]162+36=198[/tex]

7th second, it will travel: [tex]198+36=234[/tex]

8th second, it will travel: [tex]234+36=270[/tex]

Hence, in the eighth second, the projectile traveled 270 feet.

The distance the projectile travels in the eighth second is found to be 270 feet.

The question asks for the distance a projectile travels in the eighth second, given that the distances it covers each second form an arithmetic progression with initial distances given as 18, 54, 90, 126, etc. In an arithmetic progression, the difference between any two consecutive terms is constant, known as the common difference.

To find the common difference (d), we subtract the first term from the second term:

d = 54 - 18 = 36

The nth term of an arithmetic sequence can be found using the formula:

T(n) = a + (n - 1)d

Here, a represents the first term, which is 18, and d is the common difference we found to be 36. Substituting the values to find the eighth term:

T(8) = 18 + (8 - 1) x 36T(8)

= 18 + 7 x 36T(8)

= 18 + 252T(8) = 270

Thus, the distance the projectile travels in the eighth second is 270 feet.

Answer:

5.2 × [tex]10^{-3}[/tex]

Step-by-step explanation:

a number in scientific notation is expressed as

a × [tex]10^{n}[/tex]

where 1 ≤ a < 10 and n is an integer

write 0.0052 as a number between 1 and 10, that is 5.2

we have to the move the decimal point 3 places to the left to retain it's value

3 places left means n is - 3

0.0052 = 5.2 × [tex]10^{-3}[/tex]

Answer:

Mid point = [tex](\frac{5}{2} ,5)[/tex]

Step-by-step explanation:

We are given the coordinates of the end points of a line segment AB and we are to find the coordinates of its mid point.

The coordinates of the end points are: A (-1, -2) and B (6, 12).

We know the formula of the mid point:

Mid point = [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]

So putting in the given values to find the mid point of line segment AB:

Mid point = [tex](\frac{-1+6}{2} ,\frac{-2+12}{2} )[/tex] = [tex](\frac{5}{2} ,5)[/tex]

Answer:

9 inches

Step-by-step explanation:

The population is within 6 standard deviations of the mean with a confidence of 99.7 percent, 3 above and 3 below

The standard deviation of the sample mean is equal to the population standard deviation divided by the square root of the sample size

population standard deviation = 36

sample size = 144

standard deviation of the sample mean = 36/ sqrt(144)

                                                                   =36/12

                                                                   =3

The margin of error is  the number of standard deviations above  the mean * the standard deviations

margin of error  = 3 * 3

                           = 9 inches

Answer:

sonk

Step-by-step explanation:

honey p

Answer:

C

Step-by-step explanation:

This question asks us to find the difference in output or y values or consecutive x-values (values 1 unit away from each other). This is just a rate of change or slope. We will use the slope formula:

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

We substitute [tex]x_1=-3\\y_1=-57.6[/tex] and [tex]x_2=-2\\y_2=-36.4[/tex]

[tex]m=\frac{-36.4-(-57.6)}{-2-(-3)}[/tex]

[tex]m=\frac{-36.4+57.6}{-2+3}=\frac{21.2}{1} =21.2[/tex]

Answer C.

Answer:

Alright well Graph the line using this slope and Y-intercept, or two points

Slope: - 2/3

Y - intercept: 1 Hope this helps have a nice day :)

Step-by-step explanation:

And if you want i can explain the Answer with detail

Answer:

f(3) = [tex]\frac{7}{9}[/tex]

Step-by-step explanation:

The given function is

f(x)= [tex]\frac{-2}{3x}+1[/tex]

To find is the value of f(3)

Now we can find the value of a function by putting the vlaue in the given equation of the function

we can see that we have to find the value of f(3) and or given function is f(x)

so we have to put the value of x to be equal to 3 so that we can get the value of the desired function at a given point

Now

In this

x =3

f(x) = [tex]\frac{-2}{3x}+1[/tex]               ................(i)

Put x = 3 in equation (i)

it becomes

f(3) = [tex]\frac{-2}{3*3}+1[/tex]

f(3) = [tex]\frac{-2}{9}+1[/tex]

Taking the LCM and solving it

LCM of 1 and 9 is 9 so it becomes

f(3) = [tex]\frac{-2+9}{9}[/tex]

f(3) = [tex]\frac{7}{9}[/tex]

which is the required value

Answer:

B. 10

Step-by-step explanation:

6 = .24 * x

Solve for x

Divide each side by .24

6/.24 = x

25 =x

Now find 40% of 25

25*.4 = 10

Answer: there are 10, 10 dollar bills in perry`s pocket

Step-by-step explanation:

Answer:

Quotient is [tex]1x^2 + 4x +3[/tex]

Step-by-step explanation:

   [tex](x^3-x^2-17x-15)[/tex]

The coefficient of given expression is 1, -1, -17, -15

we divide by x-5, that is x=5

      5                      1              -1          -17            -15

                                               5          20            15

                              1                4            3             0 ---> Remainder

Answer 1, 4, 3 is the quotient

We write quotient as 1x^2 + 4x +3

Answer:

A on eden

Step-by-step explanation:

Did the test

Answer:

251

Step-by-step explanation:

2008/8

Answer:

16064

Step-by-step explanation:

2,008 x 8= 16064

Answer:

The system of equation can be used for determine the number of small and the large dogs groomed are

x + y = 22

43x + 75y = 1234

Step-by-step explanation:

Let us assume that the number of small dogs groomed be x.

Let us assume that the number of lagre dogs groomed be y.

As given

Paws at play made a total of $1,234 grooming 22 dogs.

Than the equation becomes

x + y = 22

Paws at play charges $43 to groom each small dog and $75 for each large dog.

Than the equation becomes

43x + 75y = 1234

Therefore the system of equation can be used for determine the number of small and the large dogs groomed are

x + y = 22

43x + 75y = 1234

Answer:

y =65

Step-by-step explanation:

We will call the unknown angle in the triangle x

Angle x plus 130 form a straight line

x+130 = 180

Subtract 130 from each side

x+130-130 = 180-130

x = 50

The three angles in the triangle add together to make 180 degrees

x+y+y = 180

We know angle x = 50

50 + 2y = 180

Subtract 50 from each side

50+2y-50 = 180-50

2y = 130

Divide each side by 2

2y/2 = 130/2

y = 65

The measure of angles can be in degrees, minutes of arc, and seconds of arc, with the example given (9:00 a.m. clock hands) resulting in a 90-degree angle.

The measure of angles is often given in degrees, minutes of arc, and seconds of arc.

These units subdivide a degree into finer measurements, where one degree equals 60 minutes and one minute equals 60 seconds.

One example of using these measurements is in Astronomy, where astronomers measure the angular separation of stars in the sky.

Angles are crucial to understanding the positions and movements of celestial bodies.

Returning to the practice problem provided: 'What is the angle in degrees between the hour hand and the minute hand of a clock showing 9:00 a.m.?', we can calculate this using the understanding that each hour on the clock represents 30 degrees (360 degrees / 12 hours).

At 9:00 a.m., the hour hand is on the 9 and the minute hand is on the 12, creating a 90-degree angle between them.

Following are the complete solution to the given expression:

Given:

[tex]\bold{\frac{2x}{x-2} - \frac{x+3}{x+5}}[/tex]

To find:

Solve expression=?

Solution:

[tex]\to \bold{\frac{2x}{x-2} - \frac{x+3}{x+5} = \frac{2x(x+5) -(x+3)(x-2)}{(x-2)(x+5)}}[/tex]

                     [tex]\bold{= \frac{2x^2+10x -(x^2+x-6)}{(x-2)(x+5)}}\\\\\bold{= \frac{2x^2+10x -x^2-x+6}{(x-2)(x+5)}}\\\\\bold{= \frac{x^2+9x+6}{(x-2)(x+5)}}\\\\[/tex]

Therefore, the final answer is "4 Option".

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Answer:

it was a fill in the blank question and the answer is gardens

Step-by-step explanation:

Answer:

12x -12*17

Step-by-step explanation:

12(x – 17)

We can distribute the 12 to both terms inside the parentheses

12*x - 12*17

12x -12*17

This might be a trick question. I did the problem and got the exact same answer. I got 31 x + 0.5. If there's anything they did wrong maybe its because they didn't put a zero before 5 so 5 could become a decimal?

Answer:

378 ≤ x ≤ 678

Step-by-step explanation:

If you're looking to book both a DJ and a light show we have to take into account the minimum that you'll pay up to the maximum cost "x".  This can be done by adding the lowest cost for both meaning:

$219 + $159 = $378

And the most you'll pay:

$369 + $309 = $678

So you can say that the amount you'll pay is in between $378 and $678.  Mathematically speaking you can also say that you'll pay more than or equal to $378 and less than or equal to $678.  The previous statement can be written mathematically as a compound inequality as such:

[tex]378\leq x\leq 678[/tex]

Answer:

y = 3x + C

y = mx + 5

y = 3x + 5

Step-by-step explanation:

A. The standard form for lines with slope = 3 is

y = 3x + C where C is the y-intercept and can be any number

B. The standard form for lines with y-intercept = 5

y = mx + 5 where m is the slope and can be any number

C. The only line with slope = 3 and y-intercept =5

y = 3x + 5

There is only one line because both m and C are given.

Answer:

Step-by-step explanation:

a is y=3x+c; c is the y-intercept

b is y=mx+5; m is the slope

c is y=3x+5 as it is the only line with both slope = 3 and y-intercept =5

Answer:

Step-by-step explanation:

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the answers ARE#########

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Answer:

1) Her final bill: 334,5+ the tax

the tax = 334,5*8/100= 26,76 $

Her final bill = 334,5+ 26,76= 361,26 $

2) The gift card only has 350$ and the bill is 361,26

therefore she doesn't have enough money to pay for the sound bar

Step-by-step explanation:

Answer:

3x - y = -7

Step-by-step explanation:

y = mx + b

m = deltay/deltax

m = (10 - 1)/[( 1 - (-2)]

m = 9/3 = 3

y = 3x + b

From (-2 | 1) we see that when x = -2, y = 1

Placing into the equation, in order to find b (y-intercept)

y = 3x + b

1 = 3(-2) + b

b = 7

y = 3x + 7 or 3x - y = -7

Calculate the slope (m) using the two provided points and use it along with one of the points in the point-slope formula.

Simplify to get the slope-intercept form, and rearrange to find the equation in standard form, which is 3x - y = -7.

To find the equation of a line that passes through two given points, first you determine the slope (m) by using the slope formula m = (y2 - y1) / (x2 - x1).

For the points (-2, 1) and (1, 10), we find the slope as (10 - 1) / (1 - (-2)) = 9 / 3 = 3.

Knowing the slope, we can use the point-slope form of a linear equation, y - y1 = m(x - x1), and plug in one of the points, say (-2, 1), to get y - 1 = 3(x + 2).

Better express this equation in slope-intercept form y = mx + b by simplifying it to y = 3x + 7.

To find the standard form, which typically looks like Ax + By = C, rearrange terms to get 3x - y = -7.

This is the standard form equation of the line that passes through (-2, 1) and (1, 10).

Answer:

It is D 100%

Step-by-step explanation:

Final answer:

a. The account will have $2,839.25 after 3 years. b. The account will have $5,148.64 after 17 years. c. It will take approximately 4.329 years for the account to contain $3,000. d. It will take approximately 6.646 years for the account to contain $3,500.

Explanation:

a. To calculate the amount in the account after 3 years, we can use the formula: A = P(1 + r)^t, where A is the amount, P is the initial deposit, r is the interest rate, and t is the number of years. In this case, P = $2,500, r = 5% = 0.05, and t = 3. Plugging in these values, we get A = 2500(1 + 0.05)^3. Calculating this, we get A = $2,839.25.

b. Using the same formula, we can calculate the amount in the account after 17 years. P = $2,500, r = 5% = 0.05, and t = 17. Plugging in these values, we get A = 2500(1 + 0.05)^17. Calculating this, we get A = $5,148.64.

c. To find out how many years it will take for the account to contain $3,000, we can rearrange the formula to solve for t. The equation becomes 3000 = 2500(1 + 0.05)^t. Dividing both sides by 2500, we get 1.2 = (1.05)^t. Taking the logarithm of both sides, we have log(1.2) = t * log(1.05). Solving for t, we find t = log(1.2) / log(1.05). Using a calculator, we get t ≈ 4.329 years.

d. Following the same steps, we can find the number of years it will take for the account to contain $3,500. The equation becomes 3500 = 2500(1 + 0.05)^t. Dividing both sides by 2500, we get 1.4 = (1.05)^t. Taking the logarithm of both sides, we have log(1.4) = t * log(1.05). Solving for t, we find t = log(1.4) / log(1.05). Using a calculator, we get t ≈ 6.646 years.

The amount in the account can be calculated using the compound interest formula. After 3 years, the account will have approximately $2,894.07, and after 17 years, it will have approximately $6,003.94. It will take about 3.57 years to reach $3,000 and about 6.57 years to reach $3,500.

To calculate how much money will be in a savings account after a certain number of years with a fixed annual interest rate, we use the compound interest formula:

Compound Interest Formula

A = P(1 + r/n)^(nt)

Where:

In this case, the interest is compounded annually, so n = 1.

Question a: How much will be in the account after 3 years?

Given:

Using the formula:

A = 2500 (1 + 0.05/1)¹ˣ³ = 2500 (1.05)³ ≈ $2,894.07

Question b: How much will be in the account after 17 years?

Given:

Using the formula:

A = 2500 (1 + 0.05/1)¹ˣ¹⁷ = 2500 (1.05)¹⁷ ≈ $6,003.94

Question c: How many years will it take for the account to contain $3,000?

Given:

Using the formula and solving for t:

3000 = 2500 (1.05)^t

t = ln(1.2) / ln(1.05) ≈ 3.57 years

Question d: How many years will it take for the account to contain $3,500?

Given:

Using the formula and solving for t:

3500 = 2500 (1.05)^t

Divide both sides by 2500:

Solve for t:

t = ln(1.4) / ln(1.05) ≈ 6.57 years