Amber went on a road trip over winter vacation. She recorded how far she had traveled in the table below in relation to the number of hours she had driven.

Time
(hours) 6 10 14 18 22
Distance
(miles) 336 560 784 1,008 1,232

What is the rate of change for the information in the table?
A. 60 miles per hour

B. 56 miles per hour

C. 112 miles per hour

D. 28 miles per hour

Answer:

It's option A

change the answer

Answer:

its a so yeah

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here's the solution ~

Answer:

for the domain, find the point on the farthest side (the left) and the closest (the right)

so for yours it would be [-3,2]

it's brackets because the points are closed.

for the range, same thing but for the y intercept.

so it's [-2,4]

there's your answer!

Should be 26, I believe.

Answer: 26

Percentage Calculator: 52 is what percent of 200? = 26.

Hope this helps..... Stay safe and have a great Christmas!!!! :D

The number of comparisons made by a binary search is expressed in powers of two is a "true" statement.

Binary search is a quick search algorithm with an O run-time complexity (log n).This search algorithm operates on the divide and conquer principle.

Some key features regrading the binary search are-

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Answer:

no perpendicular

Step-by-step explanation:

If Deshaun intends to drive fewer than 70 miles, it would be less expensive for him to rent the truck from Company A. If he drives more than 70 miles, renting from Company B will be less expensive.

To determine the mileage at which Company A will be less expensive than Company B, you must first identify how much it would cost to rent the truck from Company B at various mileage levels and then compare the results to the cost of renting from Company A.

Let's say that x represents the number of miles driven.

The expense of renting the truck from Company A is $65 regardless of how many miles are driven.

Now we need to calculate the expense of renting the truck from Company B.

The cost can be calculated by adding the initial fee and the cost per mile multiplied by the number of miles driven to the initial fee.

The formula for Company B's cost will be:

$0.50x + $30 ≤ $65

When we simplify the inequality, we get:

$0.50x ≤ $35

To solve for x, we'll divide both sides of the inequality by $0.50:$x ≤ 70

Therefore, if Deshaun intends to drive fewer than 70 miles, it would be less expensive for him to rent the truck from Company A. If he drives more than 70 miles, renting from Company B will be less expensive.

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Answer:

295 + 11d

Step-by-step explanation:

(200+6d) + (95+5d)

then combine your like terms and you get 295+11d

(a) The missing part of the table for y = 6 - x² is

x²        | 16    |  9      | 4      | 1      | 0      | 1       | 4    | 9      | 16      |

6 - x²  | -10   | -3      | 2      | 5     | 6       | 5     | 2    | -3     | -10     |

(b)  The missing part of the table for y = 2x² is

2x²     | 32  |  18     |  8     |  2     | 0      |  2    | 8    |  18    | 32     |

The missing part of the table is calculated as follows;

(a) For the given function, y = 6 - x², the complete table is filled as follows;

x    |  - 4  |  - 3   |  - 2  |  -1    |  0    |  1   |  2   |  3    |  4  |

x²  | (-4)² |  (-3)² | (-2)² | (-1)² | (0)² | (1)² | (2)² | (3)² | (4)² |

Before we add the next row (6 - x²), we will simplify the row of x² as follows;

x          |  - 4  |  - 3    |  - 2  |  -1    |  0     |  1      |  2   |  3     |  4       |

x²        | 16    |  9      | 4      | 1      | 0      | 1       | 4    | 9      | 16       |

6 - x²  | 6-16 | 6 - 9 | 6 - 4 | 6 - 1 | 6 - 0 | 6 - 1 | 6-4 | 6 - 9 | 6 - 16 |

Simplify the row of 6 - x² as follows;

x          |  - 4  |  - 3    |  - 2  |  -1    |  0     |  1      |  2   |  3     |  4       |

x²        | 16    |  9      | 4      | 1      | 0      | 1       | 4    | 9      | 16      |

6 - x²  | -10   | -3      | 2      | 5     | 6       | 5     | 2    | -3     | -10     |

(b)  For the given function, y = 2x², the complete table is filled as follows;

x         |  - 4  |  - 3    |  - 2  |  -1    |  0     |  1      |  2   |  3     |  4      |

x²       | 16    |  9      | 4      | 1      | 0      |   1     | 4    | 9      | 16     |

2x²     | 32  |  18     |  8     |  2     | 0      |  2    | 8    |  18    | 32     |

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Answer:

12

Step-by-step explanation:

35-5=30

After that you dived 30 by 2.5 which gets you 12

Answer:

  see attached

Step-by-step explanation:

The formulas given work perfectly.

It might help you to think of the tax rate as a percentage. For example, $2.37 per $100 is a rate of 2.37/100 = 0.0237 = 2.37%

Each dollar value is the product of the previous two columns.

  $400,000 × 0.19 = $76,000; $76,000 × 0.0237 = $1801.20 (tax)

  $235,000 × 0.10 = $23,500; $23,500 × 0.0993 = $2333.55 (tax)

  $215,000 × 0.15 = $32,250; $32,250 × 0.1240 = $4000.00 (tax)

__

Where the rates are missing (as on the third line), they can be found by dividing the dollar value on the right of it by the dollar value on the left of it.

  32,250/215,000 = 0.15 = 15%

  4000/32,250 = 0.1240 = $12.40 per $100

_____

Additional comment

To get a tax of exactly $4000 on the last line, the tax rate needs to be specified to 4 decimal places: $12.4031 per $100. Otherwise the value rounds to something less than $4000.

Answer:

A, D, E

Step-by-step explanation:

I hope this is correct

Answer:

a d e

Step-by-step explanation:

The equation that represents the horizontal parabola given on the graph is:

y² = -8x

The equation of a quadratic function, of vertex (h,k), is given by:

x = a(y - k)² + h

In which a = 1/p is the leading coefficient.

In this problem, the vertex is (0,0), hence h = k = 0, and:

ay² = x.

The directrix is at x = 2, and the parabola opens left, hence:

p = -4(2 - 0) = -8.

Hence the equation is:

y² = px = -8x.

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Answer:

stop cheating on  a pma 480

Step-by-step explanation: true story

Answer:

median

Step-by-step explanation:

Answer: B. Mean

Step-by-step explanation:

When you're dead distribution is continuous and symmetrical such as when your data is normally distributed, the mean is typically the best measure of central tendency to utilize. It all depends on what you're attempting to illustrate with your statistics, though.

The area between the curves f(x) = = e -0.2x and g(x) = 1.4x + 1 from x = 0 to x = 4 can  be given as  Area = ∫[0,4] (f(x) – g(x)) dx = ∫[0,4] (e^(-0.2x) – (1.4x + 1)) dx.

To find the area between the curves f(x) = e^(-0.2x) and g(x) = 1.4x + 1 from x = 0 to x = 4, we need to calculate the definite integral of the difference between the two functions over the given interval:

Area = ∫[0,4] (f(x) – g(x)) dx.

First, let’s determine which function represents the top curve and which represents the bottom curve. We can compare the y-values of the two functions for different values of x within the interval [0, 4].

When x = 0, we have f(0) = e^(-0.2*0) = 1 and g(0) = 1. Therefore, both functions have the same value at x = 0.

For larger values of x, such as x = 4, we find f(4) = e^(-0.2*4) ≈ 0.67032 and g(4) = 1.4(4) + 1 = 6.4.

Comparing these values, we see that f(4) < g(4), indicating that f(x) is the bottom curve and g(x) is the top curve.

Now we can proceed to calculate the area using the definite integral:

Area = ∫[0,4] (f(x) – g(x)) dx = ∫[0,4] (e^(-0.2x) – (1.4x + 1)) dx.

To obtain the numerical value of the area, we would need to evaluate this integral or use numerical methods.

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1. An event that is likely to happen, but not certain, for the number Kenisha calls is that it is a prime number. While there are several prime numbers between 1 and 75, it is not guaranteed that the number she calls will be prime. However, given the range of numbers, the probability of calling a prime number is relatively high.

2. An event that is unlikely to happen, but not impossible, for the number Kenisha calls is that it is a perfect square. Perfect squares are numbers that can be expressed as the square of an integer. In the range of 1 to 75, there are only a few perfect squares, so the chances of calling one as the bingo number are relatively low, but not impossible.

3. An event that is certain to happen for the number Kenisha calls is that it will be an integer. Since the game is played with whole numbers from 1 to 75, the number called will always be an integer, as it represents a specific whole number in the given range.

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♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The solution is given below.

1. An event that is likely to happen, but not certain, for the number Kenisha calls is that it will be an odd number. Since there are 75 numbers in total and half of them are odd, there is a higher probability that the number called will be odd.

2. An event that is unlikely to happen, but not impossible, for the number Kenisha calls is that it will be a perfect square. There are only a few perfect square numbers between 1 and 75, so the chances of calling a perfect square number are lower compared to other numbers.

3. An event that is certain to happen for the number Kenisha calls is that it will be a number between 1 and 75. Since the numbers in the game range from 1 to 75, any number called by Kenisha will definitely fall within this range.

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Answer:

113°

Step-by-step explanation:

because supplementary angles add up to 180°

thus if a is 67° then we subtract 67° from 180° and b will be 113°

The statements and reasons to prove that line j is parallel to line k include the following:

Parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.

A supplementary angle can be defined as two (2) angles or arc whose sum is equal to 180 degrees (180°).

Mathematically, a supplementary angle can be calculated by using this formula:

Q + R = 180

Where:

Q and R are measure of the angles subtended.

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If x is the largest of the three consecutive integers, then the three consecutive integers can be represented as x-1, x, and x+1.

The sum of these three consecutive integers is:

(x-1) + x + (x+1)

Simplifying the expression, we get:

3x

Therefore, the expression in terms of the given variables that represents the sum of three consecutive integers when x is the largest is 3x.

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Answer:

The slope of this line is 2.

Response rates in online surveys can be problematic due to the inadequate number of individuals in organized panels of respondents. An organized panel of respondents is a group of individuals who are willing to participate in online surveys, but there are limited numbers of such individuals.

The low response rates may lead to bias results, lower precision, and increased variability, resulting in inaccurate findings. Researchers might also find it challenging to calculate the response rates when the data collection vendor is recruiting participants outside the official online data collection vendor.Response rates are usually determined by the number of surveys completed in relation to the total number of potential respondents in a sample. The greater the number of individuals who complete the survey, the greater the response rate. There might be a problem calculating response rates if data collection vendors identify and target participation from specific groups of individuals.

The use of radio buttons, pull-down menus for responses, and the use of visuals have no effect on calculating response rates. However, graphics and animation might affect survey response rates if they cause technical problems or distraction to the respondent while participating in the survey.

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Answer:

8(4m + 1) --> 32m + 8

5(5 + x) --> 25 + 5x

Step-by-step explanation:

8(4m + 1)

8 x 4m = 32m

8 x 1 = 8

32m + 8

5(5 + x)

5 x 5 = 25

5(x) = 5x

25 + 5x

Answer:

210 cedis

Step-by-step explanation:

If ten bags of cocoa beans cost 350 cedis then you need to find the cost of one bag of cocoa beans

= 35 cedis

350 × 0.1 = 35

then multiply by 6 to get the cost of six bags

35 × 6 = 210

six bags of cocoa beans will cost 210 cedis.

Answer:

A. yes they both have the same solutions.

B. below...

Step-by-step explanation:

The likelihood of the event is 1/2

Answer:

y = 0

Step-by-step explanation:

Given

f(x) = 4x² +x⁵ +10x³ +5x+8x⁴

Required

Determine the y intercept

The y intercept of a function is a point where x = 0

So, we have to substitute 0 for x in the above function

f(x) = 4x² +x⁵ +10x³ +5x+8x⁴ becomes

f(0) = 4(0)² +(0)⁵ +10(0)³ +5(0)+8(0)⁴

f(0) = 4 * 0 + 0 + 10 * 0 + 5 * 0 + 8 * 0

f(0) = 0 + 0 + 0 + 0 + 0

f(0) = 0

Substitute y for f(0)

y = 0

Hence, the y intercept is 0

Answer:

excuse me !! where is the question... without question .?? how to answer?

The arc length of the given function over the interval [1,4e] is approximately 281.74 units.

The formula for arc length is given by: L = ∫[a,b]√(1+(dy/dx)²) dx

Using the given function y = 14x² - 12lnx, we can find the derivative: dy/dx = 28x - 12/x

Now, plugging this derivative into the formula for arc length and evaluating over the interval [1,4e], we get:

L = ∫[1,4e]√(1+(28x-12/x)²) dx

This integral cannot be evaluated in closed form, so we must use numerical methods to approximate the answer. One common method is to use Simpson's rule, which gives: L ≈ (4e - 1)/6 [√(1+(28(1)-12/1)²) + 4√(1+(28(2)-12/2)²) + 2√(1+(28(4e)-12/4e)²)]

L ≈ 281.74

Therefore, the arc length of the given function over the interval [1,4e] is approximately 281.74 units.

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Answer:

very likely

Step-by-step explanation: