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ozzi
2 years ago
15

Lizzy had test scores of: 72, 94, 108, 60What is the RANGE of her test scores?

Mathematics
1 answer:
Misha Larkins [42]2 years ago
5 0

Answer:

48

Step-by-step explanation:

To find the range, you have to subtract the biggest/largest number by the smallest number:

108 - 60 = 48

The range is 48.

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Given an arithmetic sequence with a3=5 and a5=19, find the 24th term.
krok68 [10]

The 24th term is 152

Step-by-step explanation:

The formula of the nth term of an arithmetic sequence is:

a_n=a+(n-1)d , where

  • a is the first term
  • d is the common difference between consecutive terms

The third term means n = 3

∵ a_3=a+(3-1)d

∴ a_3=a+2d

∵ a_3 = 5

- Equate the right hand sides of the third term

∴ a + 2d = 5 ⇒ (1)

The fifth term means n = 5

∵ a_5=a+(5-1)d

∴ a_5=a+4d

∵ a_5 = 19

- Equate the right hand sides of the fifth term

∴ a + 4d = 19 ⇒ (2)

Now we have a system of equations to solve it

Subtract equation (1) from equation (2) to eliminate a

∴ 2d = 14

- Divide both sides by 2

∴ d = 7

- Substitute the value of d in equation (1) to find a

∵ a + 2(7) = 5

∴ a + 14 = 5

- Subtract 14 from both sides

∴ a = -9

The twenty fourth term means n = 24

∵ a = -9 and d = 7

- Substitute the values of a and d in the formula of the nth term

∴ a_24=-9+(24-1)(7)

∴ a_24=-9+(23)(7)

∴ a_24=-9+161

∴ a_24=152

The 24th term is 152

Learn more:

You can learn more about the arithmetic sequence in brainly.com/question/7221312

#LearnwithBrainly

5 0
3 years ago
The distance on a bike path between Westfield and Southborough is 46 mi. Tracey leaves Westfield heading to Southborough cycling
ipn [44]

Answer: 2 hr.

Explanation: Think back to rate of change. <em>d</em> = <em>rt</em>, <em>r</em> = <em>d/t</em>, <em>t</em> = <em>d/r</em>. In this case, we will be using <em>d</em> = <em>rt</em>. Mph would be <em>r</em>, rate, so you would categorize 15 mph and 8 mph under rate. <em>t</em> should represent the time each cyclist traveled. Tracey's and Emma's distance, <em>d</em>, would be the same as their mph, hence Tracey's being 15<em>t</em> and Emma's would be 8<em>t</em>. When you add Tracey's distance plus Emma's distance, you end up with 46 mi. Now, you need to combine like terms, which should look like 15<em>t</em> + 8<em>t </em> = 46. Add 15 and 8 to get 23, so it should be 23<em>t</em> = 46 now. Then, divide both sides of the equation by 23 and now you should have your answer, <em>t</em> = 2 hr.

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I need help on number 17 ASAP !
nika2105 [10]

Answer:

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Step-by-step explanation:

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3 years ago
describe the graph of y=x^2 in words so that someone in a different room could understand exactly what it looks like explain wha
vladimir2022 [97]

Answer:

* y = x² is a quadratic function represented graphically by parabola opened upward with minimum vertex  (0 , 0) and y-intercept = 0

* The graph will move vertically up 5 units and its vertex will be

 (0 , 5)

Step-by-step explanation:

∵ y = ax² + bx + c is a quadratic function

  Represented graphically by parabola, its vertex is (-b/2a , f(-b/2a))

∵ The value of a > 0 then the parabola open upward

∴ Its vertex is minimum

∵ The value of a < 0 then the parabola oped downward

∴ Its vertex is maximum

∵ The coefficient of x² = 1

∴ The parabola open upward

∵ The coefficient of x = 0

∴ Its vertex is (0 , 0) ⇒ x = 0/2(1) = 0 , f(0) = (0)² = 0

∴ The y-intercept = 0

∴ The parabola is oped upward , has minimum vertex (0 , 0)

   and passing through the origin

∵ 5 is added to y = x² , that means we add 5 to f(x) ⇒ f(x) + 5

∴ y = x² + 5 ⇒ that means the graph move vertically up 5 units

∴ Its vertex will be (0 , 5)  

5 0
3 years ago
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