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Tresset [83]
4 years ago
10

Nathan flew 3,547 miles from Canada to California during the first part of his trip. He flew 2,567 miles from California to Hawa

ii during the second part of his trip. Which is the difference in the number of miles Nathan flew between the first and second parts of his trip?
Mathematics
1 answer:
AURORKA [14]4 years ago
4 0

Difference in the number of miles Nathan flew between the first and second parts of his trip is 980 miles

<em><u>Solution:</u></em>

Given that Nathan flew 3,547 miles from Canada to California during the first part of his trip

He flew 2,567 miles from California to Hawaii during the second part of his trip

Therefore,

first part of his trip = 3547 miles

second part of his trip = 2567 miles

Difference in the number of miles Nathan flew between the first and second parts of his trip is given as:

difference = first part of his trip - second part of his trip

difference = 3547 - 2567 = 980

Therefore, the difference in number is 980 miles

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Based on the table of values below, find the slope between points where x = 5 and where x = 10.
horsena [70]

Hello!

\large\boxed{m = 1}

Use the slope formula to determine the slope between the points:

m = (y2 - y1) / (x2 - x1)

Plug in the values:

m = (7 - 2) / (10 - 5)

m = 5 / 5

m = 1

7 0
3 years ago
I don’t understand 23-26can someone help?
svetoff [14.1K]

Answer:

If 23-26, that is -3

Well, because 23 can't minus 26, that's why you have to rearrange so that you can find the correct answer by letting -26 + 23.

3 0
3 years ago
A spherical balloon has a 34-in. diameter when it is fully inflated. Half of the air is let out of the balloon. Assume that the
jeka57 [31]

Answer:

a. 20,579.52 cubic inches

b.10,289.76  cubic inches.

c. 13.49 inches

Step-by-step explanation:

Hi, to answer this question we have to calculate the volume of a sphere:

Volume of a sphere: 4/3 π r³

Since diameter (d) = 2 radius (r)

Replacing with the value given:

34 =2r

34/2=r

r= 17 in

Back with the volume formula:

V = 4/3 π r³

V =4/3 π (17)³

V = 20,579.52 cubic inches

The volume of the half-inflated balloon is equal to the volume of the sphere divided by 2.

20,579.52/2 = 10,289.76  cubic inches.

To find the radius of the half-inflated balloon we have to apply again the volume formula and substitute v=10,289.76

10,289.76= 4/3 π r³

Solving for r

10,289.76/ (4/3 π)= r³

2,456.5 = r³

∛2,456.5 = r

r = 13.49 inches

7 0
4 years ago
30 POINTS! Find an explicit formula for the geometric sequence −1,−7,−49,−343<br> d(n)=
e-lub [12.9K]

Answer:

<h2>d(n) = { - 7}^{n - 1}</h2>

Step-by-step explanation:

Since the sequence above is a geometric sequence

For an nth term in a geometric sequence

<h3>d(n) = a ({r})^{n - 1}</h3>

where

a is the first term

r is the common ratio

n is the nth term

To find the common ratio divide the previous term by the next term

That's

<h3>r =  \frac{ - 7}{ - 1}  = 7 \:  \:  \:  \: or \\ r =  \frac{ - 49}{ - 7}  = 7 \:  \:  \:  or \\ r =   \frac{ - 343}{ - 49}   = 7</h3>

So the common ratio / r = 7

the first term is - 1

Substitute the values into the above formula

<h3>d(n) =  - 1( {7})^{n - 1}  \\</h3>

We have the final answer as

<h3>d(n) = { - 7}^{n - 1}</h3>

Hope this helps you

3 0
4 years ago
The point (2, 18) is an ordered pair in a proportional relationship. What equations represents this relationship?
coldgirl [10]

Answer:

y = 9x

Step-by-step explanation:

If you plug in the point into each equation, you get:

y = 1/9x

18 = 1/9 * 2

18 = 2/9

not true

y = 18x

18 = 18 * 2

18 = 36

not true

y = 9x

18 = 9 * 2

18 = 18

true, so this is the answer

y = 2x

18 = 2 * 2

18 = 4

not true

8 0
3 years ago
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