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Ber [7]
3 years ago
11

Find the 17th term of the of the arithmetic sequence-5,0,5,10

Mathematics
2 answers:
Lilit [14]3 years ago
8 0
An=a1+d(n-1)
first term is -5 (only way for it to make sense)
common difference is proabtly 5

an=-5+5(n-1)
17th term
an=-5+5(17-1)
an=-5+5(16)
an=-5+80
an=75
17th term is 75
kifflom [539]3 years ago
4 0
The n-th term for an arithmetic sequence with a common difference of 5 and a first term of -5 is given by
  a(n) = -5 + 5(n-1)
or
  a(n) = 5n -10

The 17th term is found by evaluating this for n=17.
  a17 = 5·17 - 10
  a17 = 75
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Find the value of X.
-Dominant- [34]
To find the value of x we first need to find the missing angle in the triangle.

To do that we are gonna add the angles we already have.

64 + 45 = 109

Angles in a triangle measures 180 so to get the missing angle we are gonna subtract 109 from 180

180 - 109 = 71 deg

The missing angle in the triangle is 71 deg


Angles on a straight line adds up to 10 so to find x we are gonna subtract 71 from 180

180 - 71 = 109 degrees

Therefore x is 109 degrees.
6 0
3 years ago
Suppose that the number of a certain type of computer that can be sold when its price is P (in dollars) is given by a linear fun
Scilla [17]

Answer:

a) N(P) = -6P + 16000

b) slope = -6 computers per dollar

That means the number of computer sold reduce by 6 per dollar increase in price.

c) ∆N = -660 computers

Step-by-step explanation:

Since N(P) is a linear function

N(P) = mP + C

Where m is the slope and C is the intercept.

Case 1

N(1000) = 10000

10000 = 1000m + C ....1

Case 2

N(1700) = 5800

5800 = 1700m + C ....2

Subtracting equation 1 from 2

700m = 5800 - 10000

m = -4200/700

m = -6

Substituting m = -6 into eqn 1

10000 = (-6)1000 + C

C = 10000+ 6000 = 16000

N(P) = -6P + 16000

b) slope = -6 computers per dollar

That means the number of computer sold reduce by 6 per dollar increase in price.

Slope is the change in number of computer sold per unit Change in price.

c) since slope m = -6 computers per dollar

∆P = 110 dollars

∆N = m × ∆P

Substituting the values,

∆N = -6 computers/dollar × 110 dollars

∆N = -660 computers.

The number of computer sold reduce by 660 when the price increase by 110 dollars

7 0
3 years ago
Simplify each expression<br> (e^2) (g) (g^4) (e^3)<br> (e)( e^2) (e)
poizon [28]

Answer:

(e^2) (g) (g^4) (e^3)=e^b

(e)( e^2) (e)=ve^4

Step-by-step explanation:

4 0
2 years ago
Hi boys can you help me pls!!!!!!!
goblinko [34]

Answer: OPTION A.

Step-by-step explanation:

Given the following function:

h(x)=-\frac{1}{4}x^2+\frac{1}{2}x+\frac{1}{2}

You know that it represents the the height of the ball (in meters) when it is a distance "x" meters away from Rowan.

Since it is a Quadratic function its graph is parabola.

So, the maximum point of the graph modeling the height of the ball is the Vertex of the parabola.

You can find the x-coordinate of the Vertex with this formula:

x=\frac{-b}{2a}

In this case:

a=-\frac{1}{4}\\\\b=\frac{1}{2}

Then, substituting values, you get:

x=\frac{-\frac{1}{2}}{(2)(-\frac{1}{4}))}\\\\x=1

Finally, substitute the value of "x" into the function in order to get the y-coordinate of the Vertex:

h(1)=y=-\frac{1}{4}(1)^2+\frac{1}{2}(1)+\frac{1}{2}\\\\y=0.75

Therefore, you can conclude that:

<em> The maximum height of the ball is 0.75 of a meter, which occurs when it is approximately 1 meter away from Rowan.</em>

7 0
3 years ago
Scott washed cars for 2 1/2 hours as a fundraiser. It took him 1/4 hour to wash one car. How many cars did Scott wash
lana66690 [7]

Answer:

He washed 10 cars.

Step-by-step explanation:

To make this easier covert 1/2hours into 1/4 hours. 2 1/2 = 4/2+1/2 = 5/2. Now take 5/2 and make it 1/4th's, 5/2 = 10/4. It takes 1/4 hours to wash one car so, 10/4 divided by 1/4. Don't divide fractions so, 10/4 x 4/1, we switch the second number around to get 40/4. Now we can simplify, 40/4 = 10.

6 0
2 years ago
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