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frosja888 [35]
3 years ago
11

Write a formula for the sum of the first n terms in this series.

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
4 0
Let n=1 and evaluate the choices. You will find only one of them gives 1 as a result:
  A) 4n² - 3n
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Find the sum: 4 root 3 plus 11 root 3
ICE Princess25 [194]

Answer:

21 root is the answer I think u just add it

5 0
3 years ago
A circle's radius is 23 inches. What is the circle's circumference ( use 3.14 for pi and round to the nearest tenth.) 20 POINTS
Katyanochek1 [597]

Answer: 144.44

Step-by-step explanation:

radius is half of diameter so multiply the radius by 2 which is 46.

The circumferece of a circle is C=pi x d . multiply the rounded pi by the diameter which is 144.44

7 0
3 years ago
Billy has 150 Star Wars action figures. The figures made in 1977 sold for $20 each
Brums [2.3K]
Your two equations would be:
150 = x + y
2560 = 20x + 12y
after solving,
95 for $20
55 for $12
6 0
3 years ago
If you rent a car for one day and drive 225 miles, the cost is $80. If you drive 350 miles in one day, the cost is $105. Let cm)
kolezko [41]

Answer:

a) (x_1 = 225, y_1 = 80) , (x_2 = 350, y_2 = 105)

And we want to find a function:

C (m) = b_1 m + b_0

We can find the slope with this formula:

b_1= \frac{105-80}{350-225}= \frac{25}{125}=0.2

And then we can use the point  (x_1 = 225, y_1 = 80) to find the intercept b_o and we got:

80 = 0.2*225 +b_0

b_0 = 80-45 = 35

So then the linear function is given by:

C(m) = 0.2 m + 35

b) For this case we have that m = 475 so we can replace into the function to find the cost like this:

C(m =475) = 0.2*475 + 35 = 130

And for the other case we have a cost of 155 and we want to find the number of miles associated so we can do this:

155 = 0.2m + 35

155-35= 120 = 0.2 m

m= \frac{120}{0.2}= 600 mi

Step-by-step explanation:

For this case we can define the following notation:

m= represent the miles travelled

C= represent the cost

Part a

For this case we have the following two points given:

(x_1 = 225, y_1 = 80) , (x_2 = 350, y_2 = 105)

And we want to find a function:

C (m) = b_1 m + b_0

We can find the slope with this formula:

b_1= \frac{105-80}{350-225}= \frac{25}{125}=0.2

And then we can use the point  (x_1 = 225, y_1 = 80) to find the intercept b_o and we got:

80 = 0.2*225 +b_0

b_0 = 80-45 = 35

So then the linear function is given by:

C(m) = 0.2 m + 35

Part b

For this case we have that m = 475 so we can replace into the function to find the cost like this:

C(m =475) = 0.2*475 + 35 = 130

And for the other case we have a cost of 155 and we want to find the number of miles associated so we can do this:

155 = 0.2m + 35

155-35= 120 = 0.2 m

m= \frac{120}{0.2}= 600 mi

6 0
3 years ago
Given: DE || BC. Find the measure of AED in the triangle AED.​
gtnhenbr [62]

Answer:

<AED = 60

Step-by-step explanation:

Since triangle ADE is similar to triangle ABC

Angle ADE equals angle ADC

The angles of a triangle add to 180 degrees

<A + <ADE + <AED = 180

36 + 84+ <AED = 180

Combine like terms

120 + <AED = 180

Subtract 120 from each side

120-120 +<AED = 180-120

<AED = 60

7 0
3 years ago
Read 2 more answers
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