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Inessa [10]
3 years ago
7

The graph of a line goes up and to the right when

Mathematics
1 answer:
insens350 [35]3 years ago
4 0
It has a positive slope.
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Graham and Hunter are circus performers. A cable lifts Graham into the air at a constant speed of 1.5 ft/s. When Graham’s arms a
lidiya [134]

Answer: Hello there!

this type of equations in one dimension (when all the factors are constants) are written as:

h =  initial position +  initial velocity*t + (acceleration/2)*t^2

First, let's describe the hunter's equation:

We know that Graham moves with a velocity of 1.5 ft/s, and when he is  18 ft above the ground, Hunter throws the ball, and because Graham is pulled with a cable, he is not affected by gravity.

If we define t= 0 when Graham is 18 ft above the ground, the equation for Graham height (in feet) is:

h = 18 + 1.5t

where t in seconds.

Now, the equation for the ball:

We know that at t= 0, the ball is thrown from an initial distance of 5ft, with an initial velocity of 24ft/s and is affected by gravity acceleration g, where g is equal to: 32.2 ft/s (notice that the gravity pulls the ball downwards, so it will have a negative sign)

the equation for the ball is:

h = 5 + 24t - (32.2/2)t^2 = 5 + 24t - 16.1t^2

So the system is:

h = 18 + 1.5t

h = 5 +24t - 16.1t^2

so the right answer is A

5 0
3 years ago
Which is the smallest ratio? 3 to 4, Two-thirds, 10:12, 2 to 1
QveST [7]

2/3 is the smallest fraction. So, 2/3 is the smallest ratio....!

Hope this helps luv!!!! :>

3 0
3 years ago
Read 2 more answers
DIVIDE. Show how you used partial quotients to find your answer.<br><br> 1,562 ÷ 34
Temka [501]
1562 divided by 35= 45 with a remainder of 32
6 0
3 years ago
Determine the product.
Andrei [34K]

The final expression in standard form will be 1.601 * 10^9

<h3>Indices and expoenets</h3>

Given the expression as shown:

800.5 * (2*10^6)

This can be further simplified as:

=  8.005 * 10 ^2 * 2 * 10^6\\= 16.01 * 10^{2+6}\\= 16.01 * 10^8

The final expression in standard form will be 1.601 * 10^9

Learn more on indices here: brainly.com/question/10339517

3 0
3 years ago
Read 2 more answers
In a different plan for area​ codes, the first digit could be any number from 4 through 8​, the second digit was either 3, 4, 5,
Snezhnost [94]

For the first digit, we have 5 options that are 4,5,6,7,8 . For the second digit, we have 4 options which are 3,4,5 or 6 and for the third digit, we have the options of all numbers except 2 or 5 that is 1,3,4,6,7,8,9,0 . SO we have 8 options for third digit . So to find the total number of options, we need to multiply all the possible options for each digit that is 5 times 4 times 8 = 160 . So the number of possible options are 160 .

7 0
4 years ago
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