Asume that you have a balance of 6000 on your MasterCard and that you make that are minimum payment of the balance Find a turmus for the balance er month term decimal You with a which with a new The product within the sale showtember that Hint You are not read to use the symbole that were Tower of lette en MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 9. Points DETAILS 13.00 Assume that you have a balance of 56000 on your MasterCard and that you more charges. Asume that are the same minimum payment of of the balance Find a formula for the balanceert met pynt (encat four decimates.) Mine : You must write the formulation, which means that The product within the square brackets should be entered that is Hint You are not the type the way we your yard , Het 3 Typ the boter the exponent

To find the average rate of change of f(x) on the interval [-2, -2h], we need to first find f(-2) and f(-2h) and then use the formula for average rate of change, which is (f(-2h) - f(-2))/(-2h - (-2)).This is the expression for the average rate of change of f(x) on the interval [-2, -2 + h].

Let's start by finding f(-2) and f(-2h):
f(-2) = (-2)^2 + 5(-2) = 4 - 10 = -6
f(-2h) = (-2h)^2 + 5(-2h) = 4h^2 - 10h

Now we can plug these values into the formula for average rate of change:
(f(-2h) - f(-2))/(-2h - (-2)) = [(4h^2 - 10h) - (-6)]/(-2h + 2) = (4h^2 - 10h + 6)/(2 - 2h)

So the expression for the average rate of change of f(x) on the interval [-2, -2h] is (4h^2 - 10h + 6)/(2 - 2h).

Now, we'll substitute these values into the formula:

Average Rate of Change = ((-2 + h)^2 - 5(-2 + h) - ((-2)^2 - 5(-2))) / h

Simplify the expression:

Average Rate of Change = (4 - 4h + h^2 + 10 - 5h - 4 + 10) / h

Combine like terms:

Average Rate of Change = (h^2 - 9h + 20) / h

This is the expression for the average rate of change of f(x) on the interval [-2, -2 + h].

To know more about Average  visit :

https://brainly.com/question/24057012

#SPJ11

Answer:

where are the questions??

Step-by-step explanation:

Answer:

j = 61

Step-by-step explanation:

j - 18 = 61

Step One: Add your addend and your total together.

18 + 43 = 61

Step Two/Check: Subtract your original total with one of your original addend to get the second original addend you had before.

61 - 18 = 43

Answer:

j = 61

76 gallons of fuel was used for one hour

A small airplane used 342 gallons of fuel on a trip

The time of the trip is 4 1/2 hours= 4.5 hours

The number of gallons used for the trip in one hour can be calculated as follows

342= 4.5

x= 1

Cross multiply both sides

4.5x= 342

Divide both sides by the coefficient of x which is 4.5

4.5x/4.5= 342/4.5

x= 76

Hence 76 gallons was used for one hour of the trip

Read more on gallons here

https://brainly.com/question/760920

#SPJ1

Using the value of ∫01x3+1dx obtained above, we can approximate the value of∫0.50x3+1dx as:Simpson's Rule ∫abf(x)dx≈b−a3n[f(a)+2∑i=12n−1f(ai)+4∑i=14n−1f(xi)+f(b)]≈15[0+2{(13)3+1}+4{(14)3+1}+13+3]≈0.7828Therefore, the solution to part b at x=0.5 to three decimal places is approximately equal to 0.7828.

The solution to part b at x

=0.5 to three decimal places using Simpson's Rule with n

=4 is given as follows:Approximate the value of∫01x3+1dx, with Simpson's Rule using n

=4 subintervals.Simpson's Rule formula for integrating a function, f(x), with n subintervals is given as:Simpson's Rule ∫abf(x)dx≈b−a3n[f(a)+2∑i

=12n−1f(ai)+4∑i

=14n−1f(xi)+f(b)]where h

=(b−a)n and xi

=a+ih for i

=1,2,3,...,n.Substituting a

=0, b=1, f(x)

=x3+1, and n

=4 in Simpson's Rule formula:∫01x3+1dx≈14[0+2{(13)3+1+(23)3+1}+4{(14)3+1+(34)3+1}+13+3]≈1.1354The value of ∫01x3+1dx is approximately equal to 1.1354, using Simpson's Rule with n

=4 subintervals. We want to approximate the solution to part b at x

=0.5 to three decimal places. Using the value of ∫01x3+1dx obtained above, we can approximate the value of∫0.50x3+1dx as:Simpson's Rule ∫abf(x)dx≈b−a3n[f(a)+2∑i

=12n−1f(ai)+4∑i

=14n−1f(xi)+f(b)]≈15[0+2{(13)3+1}+4{(14)3+1}+13+3]≈0.7828Therefore, the solution to part b at x

=0.5 to three decimal places is approximately equal to 0.7828.

To know more about approximately visit:

https://brainly.com/question/31695967

#SPJ11

Answer

the triangle has an angle of 77°

The true statements about the function are:

The table of values is given as:

x     f(x)

-3    -15

-2     0

-1      3

0      0

1      -3

2      0

3      15

From the table, the function values do not exceed 0 at the interval 0 to 2.

This means that f(x) ≤ 0 over the interval [0, 2].

Also from the table, the function values exceeds 0 at the intervals greater than -2 but less than 0

This means that f(x)>0 over the interval (-2,0)

Also from the table, the function values are at least 0 at the intervals greater than 2

This means that f(x) ≥ 0 over the interval [2,∞)

Hence, the true statements are (b), (d) and (e)

Read more about functions at:

https://brainly.com/question/27831985

#SPJ1

Answer:

The answers are B, C, and D

Step-by-step explanation:

Edge 2023

Answer:

43 dollar bills and 12 ten dollar bills

Step-by-step explanation:

let x = number of $1

y = number of $10

x + 10y = 163

x+y = 55

x = 55 - y

x + 10y = 163

(55-y) + 10y =163

55 - y + 10y = 163

9y = 163 - 55

9y = 108

y = 12

x = 55 - 12

x = 43

The statement ''A frequency polygon is a very useful graphic technique when comparing two or more distributions'' is true because a frequency polygon is a very useful graphic technique for comparing two or more distributions.

A frequency polygon is a line graph that shows the distribution of a dataset.

It is created by plotting the frequency of each data value or interval on the y-axis and the corresponding values or intervals on the x-axis, and then connecting the points with line segments.

By using frequency polygons, it becomes easy to compare the shapes and spread of two or more distributions. We can overlay different frequency polygons on the same graph and compare them.

This helps to identify similarities and differences between the data sets.

For instance, frequency polygons can help identify which data set has a higher mean or median, and which distribution has a greater variance.

In summary, frequency polygons are a useful visual tool for comparing distributions and identifying patterns in data.

To know more about frequency polygons refer here:

https://brainly.com/question/28521411#

#SPJ11

The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x  ≥ -6

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

\(f(x) = \sqrt{\frac{1}{3}x + 2\)

Set the radicand greater than or equal to 0

So, we have

1/3x + 2 ≥ 0

Next, we have

1/3x  ≥ -2

So, we have

x  ≥ -6

Hence, the domain of the function is (d) x  ≥ -6

Read more about domain at

https://brainly.com/question/31900115

#SPJ1

The magnitude of the force per unit length that each wire exerts on the other wire is 3 × 10⁻⁷ N/m.

Using Ampere's law, the force per unit length (F/L) between two parallel wires carrying currents I1 and I2 and separated by a distance d can be calculated as:

F/L = (μ0 ⨯ I1 ⨯ I2) / (2 ⨯ π ⨯ d)

Where μ0 is the permeability of free space (4π × 10⁻⁷ T⋅m/A),

I1 is the current in the first wire (4.00 A),

I2 is the current in the second wire (6.00 A), and d is the distance between the wires (0.400 m).

F/L = (4π × 10⁻⁷ T⋅m/A ⨯ 4.00 A ⨯ 6.00 A) / (2 ⨯ π ⨯ 0.400 m)

F/L = (24π × 10⁻⁷ T⋅m/A) / (0.800 m)

F/L = 3 × 10⁻⁷ ) T⋅m/A

Learn more about amperes law at

https://brainly.com/question/12787365

#SPJ11

Given the probabilities P(A) = 0.7, P(Ac) = 0.3, P(B|A) = 0.4, and P(B|Ac) = 0.8, the joint probabilities can be calculated as follows: P(A and B) = 0.28, P(A and Bc) = 0.42, P(Ac and B) = 0.12, and P(Ac and Bc) = 0.18.

The joint probability P(A and B) represents the probability of events A and B occurring simultaneously. It can be calculated using the formula P(A and B) = P(A) * P(B|A). Given that P(A) = 0.7 and P(B|A) = 0.4, we can multiply these probabilities to obtain P(A and B) = 0.7 * 0.4 = 0.28.

It can be calculated as P(A and Bc) = P(A) * P(Bc|A). Since the complement of event B is denoted as Bc, and P(Bc|A) = 1 - P(B|A), we can calculate P(A and Bc) as P(A) * (1 - P(B|A)) = 0.7 * (1 - 0.4) = 0.42.

Finally, P(Ac and Bc) represents the probability of both event A and event B not occurring. It can be calculated as P(Ac and Bc) = P(Ac) * P(Bc|Ac). Using P(Ac) = 0.3 and P(Bc|Ac) = 1 - P(B|Ac), we can calculate P(Ac and Bc) as P(Ac) * (1 - P(B|Ac)) = 0.3 * (1 - 0.8) = 0.18.

Therefore, the joint probabilities are: P(A and B) = 0.28, P(A and Bc) = 0.42, P(Ac and B) = 0.24, and P(Ac and Bc) = 0.18.

Learn more about joint probability here:

https://brainly.com/question/30224798

#SPJ11

Answer:

Step-by-step explanation:

By the figure, it would mean:

67, 67, 68

72, 72, 73, 76, 76, 77, 78

80, 81, 83, 83, 85, 85, 85, 87, 88

91, 91, 93, 95, 99

a) 2 students

b) 9 students

c) 2 students

Explanation : 5 students (90s) - 3 students (60s) = 2 students

d) 81

Explanation : (67 + 67 + 68 + 72 + 72 + 73 + 76 + 76 + 77 + 78 + 80 + 81 + 83 + 83 + 85 + 85 + 85 + 87 + 88 + 91 + 91 + 93 + 95 + 99) ÷ 24 = 81.33

The interval of convergence for the given power series is (2, 8).

To find the interval of convergence for the given power series. We have the power series:

∑(n=2 to ∞) ((x-5)ⁿ)/(3ⁿ)

To find the interval of convergence, we'll use the Ratio Test. For the Ratio Test, we need to compute the limit:

L = lim (n → ∞) |(a_(n+1)/a_n)|

For our series, a_n = ((x-5)ⁿ)/(3ⁿ). Therefore, a_(n+1) = ((x-5)(n+1))/(3(n+1)). Now, let's compute the ratio:

|(a_(n+1)/a_n)| = |(((x-5)(n+1))/(3(n+1))) / (((x-5)ⁿ)/(3ⁿ))|

Simplify the expression:

|(a_(n+1)/a_n)| = |(x-5)/3|

The series converges if L < 1. So we have:

|(x-5)/3| < 1

Now, we'll solve for x to find the interval of convergence:

-1 < (x-5)/3 < 1

Multiply each term by 3:

-3 < x-5 < 3

Add 5 to each term:

2 < x < 8

You can learn more about convergence at: brainly.com/question/14394994

#SPJ11

Answer:

30 bcs 3 is 18 girls, therefore 2 is 12 boys

Step-by-step explanation:

2:3

?:18

18/3 ×2 =12

12+18÷30

Answer:

There is no exact answer to this question as it depends on the complexity of the puzzle. Generally speaking, a puzzle with a diameter of 20 inches would contain between 1000 and 2000 pieces.

Step-by-step explanation:

Answer:

The value of a₁₀ is -1352

Step-by-step explanation:

a₂ = -8

a₅ = -512

Now,

a₂ = -8 can be written as

a + d = -8 ...(1) and

a₅ = -512 can be written as

a + 4d = -512 ...(2)

Now, from equation (2) we get,

a + 4d = - 512

a + d + 3d = - 512

(-8) + 3d = - 512 (.°. a + d = -8)

3d = - 512 + 8

3d = - 504

d = - 504 ÷ 3

d = - 168

Now, for the value of a put the value of d = -168 in equation (1)

a + d = -8

a + (-168) = -8

a - 168 = -8

a = 168 - 8

a = 160

Now, For a₁₀

a₁₀ = a + 9d

a₁₀ = 160 + 9(-168)

a₁₀ = 160 - 1512

a₁₀ = -1352

Thus, The value of a₁₀ is -1352

-TheUnknownScientist

The decrease in diameter of the bar due to the applied load is -0.005434905d and the final diameter of the bar is 1.005434905d.

A compressive load of 80,000 lb is applied to a bar with a circular section of 0.75 in diameter and a length of 10 in.

if the modulus of elasticity of the bar material is 10,000 ksi and the Poisson's ratio is 0.3.

We have to determine the decrease in diameter of the bar due to the applied load.

Let d be the initial diameter of the bar and ∆d be the decrease in diameter of the bar due to the applied load, then the final diameter of the bar is d - ∆d.

Length of the bar, L = 10 in

Cross-sectional area of the bar, A = πd²/4 = π(0.75)²/4 = 0.4418 in²

Stress produced by the applied load,σ = P/A

= 80,000/0.4418

= 181163.5 psi

Young's modulus of elasticity, E = 10,000 ksi

Poisson's ratio, ν = 0.3

The longitudinal strain produced in the bar, ɛ = σ/E

= 181163.5/10,000,000

= 0.01811635

The lateral strain produced in the bar, υ = νɛ

= 0.3 × 0.01811635

= 0.005434905'

The decrease in diameter of the bar due to the applied load, ∆d/d = -υ

= -0.005434905∆d

= -0.005434905d

The final diameter of the bar,

d - ∆d = d + 0.005434905d

= 1.005434905d

To know more about ratio visit:

https://brainly.com/question/13419413

#SPJ11

The estimated median price of a single-family home in Charleston/No. Charleston in the 1st Quarter of 2008 is $201,048. If the median price continues to decrease at the same rate for the next two years, the estimated median price of a single-family home in the 1st Quarter of 2011 would be $144,458.

(a) To estimate the median price of a single-family home in the 1st Quarter of 2008, we need to calculate the original price before the 8.15% decrease. Let's assume the original price was P. The price after the decrease can be calculated as P - 8.15% of P, which translates to P - (0.0815 * P) = P(1 - 0.0815). Given that the end of 1st Quarter of 2009 median price was $184,990, we can set up the equation as $184,990 = P(1 - 0.0815) and solve for P. This gives us P ≈ $201,048 as the estimated median price of a single-family home in the 1st Quarter of 2008.

(b) If the median price of a single-family home falls at the same rate for the next two years, we can calculate the price for the 1st Quarter of 2011 using the estimated median price from the 1st Quarter of 2009. Starting with the median price of $184,990, we need to apply an 8.15% decrease for two consecutive years. After the first year, the price would be $184,990 - (0.0815 * $184,990) = $169,805.95. Applying the same percentage decrease for the second year, the price would be $169,805.95 - (0.0815 * $169,805.95) = $156,012.32. Therefore, the estimated median price of a single-family home in the 1st Quarter of 2011 would be approximately $144,458.

To learn more about median click here: brainly.com/question/300591

#SPJ11

hello

beth spent 1/3 of the time needed for her assignment on a chapter and a further 20 minutes writing an essay

let the total time she spent doing her home work be represented by x

total time = reading a chapter + writing an eassy

let's solve the equation and find x

Beth spent 30 minutes doing her home work

Answer:

$5

Step-by-step explanation:

10%×400 = 40×2=80

5%×400=20

20+80=100

400+100=500

$5

Answer:

1 is

for 1 disc is $16.50

for 2 disc is $33.00

for 3 disc is $49.50

and

2 is

for 1 book is $6.95

for 2 books is $13.90

for 3 books is $20.85

Step-by-step explanation:

brainliest pls

Answer:

B.21

Step-by-step explanation:

because it's the only whole number.

Answer:

SSS I believe sorry if im wrong

Step-by-step explanation: