Annie and her family are on their way to visit some family friends who live 820 miles away from them. Based on the route they choose, they expect to complete their trip in three days. The distances and average speeds for the first two days driven are show below. First day: 6 hours at an average speed of 60 miles per hour Second day: 4 hours at an average speed of 65 miles per hour If the average speed on the third day is 50 miles per hour, how many more hours will it take for them to reach their family friends home?

Answers

Answer 1

Answer:

4 hours

Step-by-step explanation:

The distances and average speeds for the first two days driven are show below.

Step 1

We calculate the total distance covered in the first two days

First day: 6 hours at an average speed of 60 miles per hour

Hence:

1 hour = 60 miles

6 hours = x

x = 60 × 6

x = 360 miles

Second day: 4 hours at an average speed of 65 miles per hour

Hence:

1 hour = 65 miles

4 hours = x

x = 65 × 4

x = 260 miles

The distance covered for the first two days =

(360 + 260)miles

= 620 miles

Step 2

The total distance for the entire trip = 820 miles

Hence, the distance left to cover on the third day = (820 - 620)miles

= 200 miles

In the question, we are told:

If the average speed on the third day is 50 miles per hour,

The number of hours it will take for them to reach their family friends home is calculated using the formula

Time = Distance/Speed

Time = 200 miles/50 miles per hour

Time = 4 hours


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Step-by-step explanation:

Gradient = Coefficient of x = -1.

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Step-by-step explanation:

Answer:

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Answer:

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Step-by-step explanation:

Given

[tex]x^{4}[/tex] - 17x² + 16

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u² - 17u + 16

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u² - 17u + 16

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Step-by-step explanation: x4-17x2+16= -18

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If a sprinkler waters 1 over 14 of a lawn in 1 over 2 hour, how much time will it take to water the entire lawn?

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

Find the length of the rectangle if the perimeter is 244 yards the length is 18 less than three times the width?

Answers

Answer:

The Length of rectangle is 87 yards.

Step-by-step explanation:

Let width = w

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We need to find length of rectangle.

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The formula used will be: [tex]Perimeter=2(length+width)[/tex]

Putting values and finding w

[tex]Perimeter=2(length+width)\\244=2(3w-18+w)\\244=2(4w-18)\\244=8w-36\\244+36=8w\\8w=280\\w=\frac{280}{8}\\w=35[/tex]

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1) The astronaut's sense of imbalance in a space flight is due to the rotation of a device in which he or she feels a fictitious gravity that mimics gravity. The the device rotates according to the mathematical equation: n =g^0.5/2πr^0.5 Where n is the rotational speed and is measured in rotations per second (s). (r) is the radius of the circulator and is measured in meters (m). (g) is a simulation of gravity. Calculate the rotation speed of a device, that has a radius of 1.7 meters and rotates to simulate the gravitational force which equals to: g = 9.8 m/s^2 with steps please

Answers

Answer:

n = 0.38 rotation per second

Step-by-step explanation:

The device rotates according to the mathematical equation :

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[tex]n=\dfrac{(9.8)^{0.5}}{2\pi \times (1.7)^{0.5}}\\\\=0.38\ \text{rotations per second}[/tex]

Hence, the rotational speed is 0.38 rotation per second.

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Step-by-step explanation:

Answer:

Step-by-step explanation:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Answer:

1. 180

2. x = 31

Step-by-step explanation:

1. the sum of the interior angles of every triangle is always 180

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x + 10 + 2x - 5 + 2x + 20 = 180

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subtract 25 from both sides: 5x = 155

divide both sides by 5: x = 31

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Answer:

JUST DO IT!

Step-by-step explanation:

Motivation

Is the relation a function?

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No it is not a function

Answer: no its not a function  

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Answers

Answer:

y=-50x+-10

Step-by-step explanation:

I'm assuming you need this answer in the y=mx+b format.

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4 ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Step-by-step explanation:

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URGENT! TIMED QUESTION, WILL GIVE BRAINLIEST!

The height of a punted football is modeled by the following quadratic function:
h(t) - -5t2 . 40
where the height is measured in meters after t seconds.
+
a. How many seconds will it take the ball to hit the ground?
c. What is the maximum height of the ball?

Answers

Answer:

Step-by-step explanation:

Part a

When the ball hits the ground  it has covered the height of zero meters so we replace h(t) with zero

[tex]h(t)=-5t^2+40t\\0=-5t^2+40t\\40t-5t^2=0\\5t(8-t)=0\\5t=0 \ \ \ , \ \ \ 8-t=0\\t=0 \ \ \ , \ \ \ t=8\\[/tex]

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Part c

The ball reaches its maximum height when the velocity is zero.

So as this functions represents the displacement of the ball h(t) we differentiate it to get the velocity equation, so we differentiate h(t) with respect to t.

[tex]v=-10t+40[/tex]

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[tex]0=-10t+40\\10t=40\\t=40/10\\t=4[/tex]

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[tex]h(t)=-5t^2+40t\\h(4)=-5(4)^2+40(4)\\h(4)=-80+160\\h(4)=80\\[/tex]

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Graph attached.

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Answers

Incomplete question. However, let's work it out using an assumed set of data.

Assuming the list and value of items totaling $120.70 is:

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Step-by-step explanation:

To find the percent of the bill spent on orange juice, we need to find the ratio of its cost to the total cost of Tabitha's shopping experience. We can use the basic formula:

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[tex]\frac{43.7}{120.7} * 100=[/tex] 36%

In other words, the $43.7 she spent on orange juice made up 36% of the bill.

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Answers

Answer:

(6,41)

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Step-by-step explanation:

I did it algebraically to solve for x and y, and I also graphed both of them and found the point where they intersect. It’s in the image below.

Hope this helps! :)

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Answers

Answer:

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Step-by-step explanation:

5w - 9 = 44

Add 9 to both sides.

5w = 53

Divide by 5.

w = 10.6

5w-9=44
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W= 10.6
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Answer:

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Step-by-step explanation:

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Hi there!

[tex]\large\boxed{f(2) = 2}[/tex]

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