Tammy took a five-hour flight to Denver, Colorado. She traveled
1,940 miles in all. If she traveled the same number of miles each hour, how many
miles did she travel in once hour?

Answer:

5/6

Step-by-step explanation:

hello

in total there are 12 numbers

C has two items

so C' has 10 items

so the probability that this number is in set C' is 10/12=5/6

hope this helps

Answer:

There should be 5 lines of symmetry.

Step-by-step explanation:

Carla's draw only one line of symmetry but in a regular pentagon there should be 5 line of symmetry.

Here,

Carla was asked to draw all the lines of symmetry for a regular pentagon.

She drew the picture as shown.

We have to find Carla's mistake.

What is Regular Pentagon?

A regular pentagon is a pentagon that has 5 equal sides and 5 equal angles.

Now,

As shown in figure,

Carla's draw only one line of symmetry.

But in a regular pentagon there should be 5 line of symmetry.

Hence, There should be 5 line of symmetry.

Option 4 is true.

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Answer:

See below.

Step-by-step explanation:

Here is an example:-

Solve by elimination:

2x - 3y  =   0

3x + 2y =  13

To eliminate the y terms Multiply the first equation by 2 and the second by 3. This gives:

4x  - 6y = 0

9x + 6y = 39      Adding the 2 equations:

13x + 0 = 39

13x = 39

x = 39/13 = 3

Finally we find y by plugging x = 3 into the first equation:

2(3) - 3y = 0

3y = 2(3) = 6

y = 2.

If two pentagons are similar, then their sides are proportional. To find PT, we'll need to set up a proportion.

AE / PT = AB / PQ

---There are many ways to set up this proportion, it just depends on what side lengths you have and ensuring that they match up on both shapes.

6 / x = 5 / 12.5

5x = 75

x = 15

Length of PT = 15 cm

Option C

Hope this helps!

Answer:

The general formula for the total surface area of a right prism is T. S. A. =ph+2B where p represents the perimeter of the base, h the height of the prism and B the area of the base.

Step-by-step explanation:

hope this helps

The function in Excel that is used to compute the statistics required to create a histogram is the FREQUENCY function.

The FREQUENCY function is used to calculate how often values occur within a specified range or bin.

The output of the function is an array of values that represents the frequency distribution of the data, which can then be plotted to create a histogram.

To use the FREQUENCY function, we first need to define the bins or intervals that we want to use for our histogram.

These bins should cover the range of the data and should be of equal width.

Once we have defined our bins, we can use the FREQUENCY function to calculate the frequency of values that fall within each bin.

The syntax of the FREQUENCY function is as follows:

=FREQUENCY(data_array, bins_array)

The data_array argument is the array or range of data that we want to analyze, and the bins_array argument is the array or range of bins that we have defined.

The function returns an array of values that represents the frequency of values that fall within each bin.

Once we have the frequency distribution of our data, we can create a histogram by plotting the frequency values against the bin intervals.

Excel has built-in tools for creating histograms, which can be found under the "Data Analysis" menu.

By defining our bins and using the FREQUENCY function, we can quickly and easily analyze the distribution of our data and visualize it in a histogram.

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Given the proportional relationship representing the speed, Paul ran faster. The equation for Paul is, y = 7x (Option D).

Proportional relationship between two variables that has a constant rate or unit rate of m, is given as y = mx.

In a graph, the steeper the slope, the larger the constant rate or unit rate.

The graph for Paul is steeper than that of Melinda. Since Melinda's constant speed is 5, therefore, Paul's constant speed cannot be less than 5. It should be more than 5, i.e. 7.

This means that Paul ran at a faster constant speed than Melinda did.

Paul's equation for distance covered over time can be expressed as, y = 7x. (Option D).

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The value of the interquartile range of the numbers is,

⇒ IQR = 23

We have to given that,

Data set is,

⇒ 7, 29, 14, 2, 34, 6, 11

Now, We can find the first and third quartile of data set as,

Firstly we can arrange the data set in ascending order,

⇒ 2, 6, 7, 11, 14, 29, 34

Take first half for first quartile,

⇒ 2, 6, 7,

First quartile = 6

Take last half for second quartile,

⇒ 14, 29, 34

Second quartile = 29

Thus, The value of the interquartile range of the numbers is,

⇒ IQR = 29 - 6

⇒ IQR = 23

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Drivers who have a good driving record may qualify for discounts or lower premiums.

One's car insurance premium can be affected by various factors such as driving record, age, location, type of vehicle, and usage of the vehicle.

The vehicle's make, model, and age can also play a significant role in determining the premium amount.

Additionally, factors like the driver's age, gender, marital status, and occupation can also affect the insurance premium. Statistically, male drivers tend to have more accidents and traffic violations compared to female drivers, which may result in higher premiums for male drivers.

Similarly, drivers who have a history of accidents or violations may have to pay more for their car insurance. On the other hand, drivers who have a good driving record may qualify for discounts or lower premiums.

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Answer:The vehicle's service record

Step-by-step explanation:

We have the following for the exponential function f(x) = 3(0.5)x, Exponential decay is represented by the function, Point provides the function's y-intercept (0,3).

The mathematical formula f (x) = a x denotes an exponential function. a constant known as the function's base and a variable called x are present. The transcendental number e, roughly equivalent to 2.71828, is the most frequent exponential-function base.

Where the following parameters are described:

Since a represents the function's starting value, the y-intercept equals (0,3).

The function's rate of change, or b, determines whether it reflects exponential growth (r > 1) or exponential decay (r 1).

The exponential function's rule for this issue is provided by:.

\(y = 3(0.5)^x.\)

Consequently, the parameters are:

a = 3, b = 0.5.

Then: Given that |b| = 0.5 1, the function illustrates exponential decay.

Point (0,3) serves as the function's y-intercept since the value of the coefficient an is equal to 3.

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Answer:

C=2πr=2·π·32≈201.06193in

Degree 0: P₀(x) = 1, Degree 1: P₁(x) = 1 - (x^2)/2, Degree 2: P₂(x) = 1 - (x^2)/2

Degree 3: P₃(x) = 1 - (x^2)/2 + (x^4)/24, Degree 4: P₄(x) = 1 - (x^2)/2 + (x^4)/24, Degree 5: P₅(x) = 1 - (x^2)/2 + (x^4)/24 - (x^6)/720, Degree 6: P₆(x) = 1 - (x^2)/2 + (x^4)/24 - (x^6)/720.

1. To find the Taylor polynomials for f(x) = cos(x) centered at a = 0, we start by calculating the function's derivatives at x = 0. The derivative of f(x) with respect to x is -sin(x), and evaluating it at x = 0 gives us -sin(0) = 0. The second derivative is -cos(x), and evaluating it at x = 0 gives us -cos(0) = -1. The third derivative is sin(x), and evaluating it at x = 0 gives us sin(0) = 0. The fourth derivative is cos(x), and evaluating it at x = 0 gives us cos(0) = 1. By observing this pattern, we can see that the derivatives of odd degrees evaluate to 0 at x = 0, while the derivatives of even degrees alternate between 1 and -1.

2. Using this information, we construct the Taylor polynomials by plugging in the values of the derivatives into the general form of the Taylor polynomial formula: Pₙ(x) = f(a) + f'(a)(x - a) + f''(a)(x - a)²/2! + ... + fⁿ⁺¹(a)(x - a)ⁿ⁺¹/n!. For f(x) = cos(x), the first few derivatives evaluated at a = 0 simplify as follows: f(0) = cos(0) = 1, f'(0) = -sin(0) = 0, f''(0) = -cos(0) = -1, f'''(0) = sin(0) = 0, f''''(0) = cos(0) = 1.

3. Substituting these values into the Taylor polynomial formula, we obtain the respective polynomials up to degree 6:

Degree 0: P₀(x) = 1

Degree 1: P₁(x) = 1 - (x^2)/2

Degree 2: P₂(x) = 1 - (x^2)/2

Degree 3: P₃(x) = 1 - (x^2)/2 + (x^4)/24

Degree 4: P₄(x) = 1 - (x^2)/2 + (x^4)/24

Degree 5: P₅(x) = 1 - (x^2)/2 + (x^4)/24 - (x^6)/720

Degree 6: P₆(x) = 1 - (x^2)/2 + (x^4)/24 - (x^6)/720

4. These polynomials approximate the function f(x) = cos(x) well near x = 0 and can be used to approximate the values of f(x) for small x values. The higher the degree of the polynomial, the closer it approximates the original function.

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The rate of return on the $10,000 bond purchased at $8750 with a 10% coupon is 24.29%. The answer closest to this value is option C, 11.43%.

The rate of return on a bond is determined by the coupon rate and the difference between the purchase price and face value of the bond.

The coupon rate is the amount of interest paid annually on a bond expressed as a percentage of the face value of the bond.

In this case, the coupon rate is 10%, and the bond was purchased at $8750.

The face value of the bond is $10,000,

So the difference between the purchase price and face value is $1250.

The rate of return can be calculated as follows:

rate of return = (coupon rate + (face value - purchase price) / purchase price) * 100

rate of return = (0.10 + ($10,000 - $8750) / $8750) * 100

rate of return = (0.10 + ($1250 / $8750)) * 100

rate of return = (0.10 + 0.1429) * 100

rate of return = 0.2429 * 100

rate of return = 24.29%

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Answer:

I think it is Brackets

Step-by-step explanation:

Good luck

Answer:

48,002,980

Step-by-step explanation:

Have a good day

If you had $150, but you are spending $2 each day, then the algebraic expression model of this situation is 150-2x

Given,

The total amount you had = $150

The amount you spend in each day = $2

Consider the number of days = x

Then the algebraic expression for this situation is 150-2x

Hence, If you had $150, but you are spending $2 each day, then the algebraic expression model of this situation is 150-2x

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Let us assume Aaron invested an amount of x dollars in the account earning 8% simple interest. This means that he invested 4100 - x dollars in the account earning 5% simple interest.

The formula for simple interest is given by I = P * r * t where I is the interest earned, P is the principal, r is the rate of interest and t is the time period for which interest is earned. Now, we can calculate the interest earned on each account as follows:

Interest earned on the account earning 8% simple interest = x * 8% * 1 year= 0.08x dollars

Interest earned on the account earning 5% simple interest = (4100 - x) * 5% * 1 year= (205 - 0.05x) dollars

Since we know that the total interest earned is the sum of the interest earned on each account, we can write the following equation:

0.08x + 205 - 0.05x = total interest earnedwhere total interest earned is the interest earned on the entire amount of 4100 dollars.

The interest rate is given as simple interest; therefore, we can calculate the total interest earned using the formula I = P * r * t as follows:

total interest earned = 4100 * ((8% + 5%) / 2) * 1 year= 4100 * 0.065= 266.5 dollars

Now, we can substitute the value of total interest earned in the above equation and solve for x as follows:

0.08x + 205 - 0.05x = 266.5

Simplifying, we get:0.03x = 61.5x = 2050Therefore, Aaron invested 2050 dollars in the account earning 8% simple interest and (4100 - 2050) = 2050 dollars in the account earning 5% simple interest.

Hence, the amount invested by Aaron in each account is $2050 and $2050, respectively.

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Answer: 1,425 students

Step-by-step explanation: This is easy to solve using proportions/

114/8 = ?/100

First, you cross multiply (or whatever this is called sry) 100x114=11400

Then divide 11400÷8=1,425

The total change in the consumed quantity of x₁ as per given price and income  is equal to 213.

x₁ = (21/7)P₁

x₂ = (51/7)P₂

P₁ = 10

P₂ = 5

P₁' = 81

To calculate the total change in the quantity consumed of x₁ when the price of P₁ changes from P₁ to P₁',

The difference between the quantities consumed at the original price and the new price.

Let's calculate the quantity consumed at the original price,

x₁ orig

= (21/7)P₁

= (21/7) × 10

= 30

x₂ orig

= (51/7)P₂

= (51/7) × 5

= 36.4286 (approximated to 4 decimal places)

Now, let's calculate the quantity consumed at the new price,

x₁ new

= (21/7)P1'

= (21/7) × 81

= 243

x₂ new

= (51/7)P2

= (51/7) × 5

= 36.4286

The total change in the quantity consumed of x₁ can be calculated as the difference between the new quantity and the original quantity,

Change in x₁

= x₁ new - x₁ original

= 243 - 30

= 213

Therefore, the total change in the quantity consumed of x₁ is 213.

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The above question is incomplete, the complete question is:

The optimal amount of x1, x2, P1, P2 and income are given by the following:

x1= 21/ 7p1 x2= 51 / 7p2

The original prices are: P1=10 P2=5 The original income is: I =4189 The new price of P1 is the following: P1'=81 Assume that the price of x1 has changed from P1 to P1'. What is the total change in the quantity consumed of x1?

Please answer step by step

Answer:

A data point has high leverage if it has "extreme" predictor x values. With a single predictor, an extreme x value is simply one that is particularly high or low.

Answer:

240

Step-by-step explanation:

From the question, we are informed that there were 600 performers in a dance recital and that the ratio of men to women is 4:6.

Fraction of men at the recital = 4/10

Fraction of women at the recital = 6/10

The number of men performers that were in the dance recital will be:

= 4/10 × 600

= 240 men

Answer: 240 men

Step-by-step explanation:

From the question, we are informed that there were 600 performers in a dance recital and that the ratio of men to women is 4:6.

Fraction of men at the recital = 4/10

Fraction of women at the recital = 6/10

The number of men performers that were in the dance recital will be:

= 4/10 × 600

= 240 men

Hope it helps

Answer:

Similar to the question: They figure that they will drive 792 miles round trip. If their car gets 25 miles per gallon and the current cost of gasoline is $2.35, what will the gas for their trip cost? $74.45 George is taking the same trip to San Antonio (792 miles)

Step-by-step explanation:

Hope it helps :)

Answer: 5

Step-by-step 10-5=5

Answer:

5 apples

Step-by-step explanation:

Liam has 10 apples and he gives 5 away to his friend cherry

10-5= 5

He has 5 apples left

43 feet try it dw it will be correc6

Answer:

15 yards is bigger than 43 feet

Step-by-step explanation:

There are 3 feet in one yard

Multiply 15 by 3:

45 feet

Answer:

13

Step-by-step explanation:

2(x – 3) + 3y

Let x = 5 and y =3

2(5 – 3) + 3*3

Parentheses first

2(2) +3*3

Multiply4 + 9

Add

13

Answer:

\(2(x - 3) + 3y \\ x = 5 \\ y = 3 \\ then \: 2(5 - 3) + 3 \times 3 \\ = 2 \times 2 + 9 \\ = 4 + 9 \\ = 13 \\ thank \: you\)

Answer:

A right triangle is formed by the tower, a point 1000m from the tower

Use the tangent. let h = the height of the tower

tan(28.81) = h%2F1000

h = 1000 * tan(28.81)

h = 550 meters

Step-by-step explanation:

Answer:

the sum of a number

Step-by-step explanation:

0.017