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lukranit [14]
2 years ago
12

Find the 14th term of the arithmetic sequence −5x+3, −3x+8, −x+13,

Mathematics
1 answer:
Lerok [7]2 years ago
8 0

Answer: 21x + 68

Step-by-step explanation: the left side is going up by 2 on each step and the right side is going up by 5. So add 2x + 5 , 14 times to get the answer

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Sarah kicked a ball in the air. The function
Aleksandr-060686 [28]

Answer: The ball hits the ground at 5 s

Step-by-step explanation:

The question seems incomplete and there is not enough data. However, we can work with the following function to understand this problem:

f=30 t- 6t^{2} (1)

Where f models the height of the ball in meters and t the time.

Now, let's find the time t when the ball Sara kicked hits the ground (this is when f=0 m):

0=30 t- 6t^{2} (2)

Rearranging the equation:

6t^{2}-30 t=0 (3)

Dividing both sides of the equation by 6:

t^{2}-5 t=0 (4)

This quadratic equation can be written in the form at^{2}+bt+c=0, and can be solved with the following formula:  

t=\frac{-b \pm \sqrt{b^{2}-4ac}}{2a} (5)  

Where:  

a=1  

b=-5  

c=0  

Substituting the known values:  

t=\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(0)}}{2(1)} (6)  

Solving we have the following result:

t=5 s  This means the ball hit the ground 5 seconds after it was kicked by Sara.

6 0
3 years ago
1 inch on a map represents 2 miles what is the scale ratio
bazaltina [42]

Answer:

1 inch

______

2 miles

7 0
3 years ago
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The square of a whole number is between 1500 and 1600. The number must be between—?
mel-nik [20]
It is 39^2 or 1521, not sure which one you want.
5 0
3 years ago
Can anyone help with this problem?
Lana71 [14]

Answer:

1.7

Step-by-step explanation:

7 0
3 years ago
Given:y=3x-4 what is the x-intercept
Kryger [21]

try desmos u can type it in and it will show you but the answer is 1.333

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3 years ago
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