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Degger [83]
2 years ago
15

Find the 66th term of the arithmetic sequence -28,-45, -62,-

Mathematics
2 answers:
navik [9.2K]2 years ago
7 0

Answer:

-1133

Step-by-step explanation:

-17(66-1)+(-28)

-17(65)+(-28)

type in calculator or desmos

-1133

Alexeev081 [22]2 years ago
6 0

Answer:

<u>-1133</u>

Step-by-step explanation:

<u>Formula for nth term</u>

  • aₙ = a + (n - 1)d

<u>Finding d</u>

  • d = -45 - (-28)
  • d = -45 + 28
  • d = -17

<u>Solving for a₆₆</u>

  • a₆₆ = -28 + 65(-17)
  • a₆₆ = -28 - 1105
  • a₆₆ = <u>-1133</u>
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3 years ago
Listed below are amounts​ (in millions of​ dollars) collected from parking meters by a security company in a certain city. A lar
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Answer: B

Step-by-step explanation: To obtain the mean for a general set of data, the formula used is;

= (sum of all the data set)/ (number of data set)

The number of data set for the two samples is 10

For the mean for the security company;

= (1.6+1.8+1.6+1.8+1.7+1.2+1.1+1.2+1.2+1.5)/10 = 14.7/10

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For the mean for the other companies;

= (1.5+2.1+1.9+2.2+1.9+1.7+2.1+2.2+2.2+1.8)/10 =19.6/10

= $ 1.96 million

The data from the samples have to be rearranged before the median can be obtained;

For the Security Company;

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There are two data sets in the middle, therefore the median will be obtained by finding the average of the data sets;

= (1.5+1.6)/2 =$ 1.55 million

For the other companies;

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4 0
3 years ago
Find the measures of each angle in the inscribed quadrilateral.
Marat540 [252]

Answer:

m∠P = 55° , m∠R = 125° , m∠Q = 110° , m∠S = 70°

Step-by-step explanation:

* Lets study the figure

- A circle and inscribed quadrilateral PQRS

- The four vertices of the quadrilateral lie on the circumference

 of the circle

∴ PQRS is a cyclic quadrilateral

* Lets revise the properties of the cyclic quadrilateral

- Each two opposite angles are supplementary, that means

 the sum of each two opposite angles = 180°

- The measure of the exterior angle = the measure of the

  opposite interior angle

* Lets solve the problem

∵ PQRS is a cyclic quadrilateral

∴ m∠P + m∠R = 180° ⇒ opposite angles

∵ m∠P = 5y + 30

∵ m∠R = 15y + 50

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* Now lets substitute the value of y in each angle to find

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∴ m∠R = 15(5) + 50 = 75 + 50 = 125°

∵ m∠Q = y² + 85

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∴ m∠S + 110 = 180 ⇒ subtract 110 from the both sides

∴ m∠S = 70°

* The measures of the angles are

  m∠P = 55° , m∠R = 125° , m∠Q = 110° , m∠S = 70°

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Refer the attached figure

The intersection point provides the solution

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So, x = 4 and y = 3

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