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2 years ago

Here are the first four terms in an arithmetic sequence.

Mathematics

2 answers:

finlep [7]2 years ago

7 0

Answer:

Step By Step

Step-by-step explanation:

An arithmetic sequence is defined as

an=a+d(n-1) where an=nth term, a=initial term, n=term number, and d=common difference

For sequence 1,4,7... a=1 and d=4-1=7-4=3 so

an=1+3(n-1)

an=3n-2, so the 30th term is

an=3(30)-2

an=88

monitta2 years ago

6 0

Answer:

Step-by-step explanation:

An arithmetic sequence is defined as

an=a+d(n-1) where an=nth term, a=initial term, n=term number, and d=common difference

For sequence 1,4,7... a=1 and d=4-1=7-4=3 so

an=1+3(n-1)

an=3n-2, so the 30th term is

an=3(30)-2

an=88

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Need help with this math problem

-BARSIC- [3]

z = 37°

Step-by-step explanation:

The exterior angle theorem says that the sum of two internal angles is equal to the exterior angle

In this case the sum of z and z+4 will be equal to z+41

Writing mathematically

$z + z+ 4 = z + 41\\2z+4 = z + 41\\2z -z = 41 -4\\z = 37$

Hence

z = 37°

Keywords: Angles, Triangles

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3 0

3 years ago

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the

sladkih [1.3K]

Answer:

10.17 seconds

Step-by-step explanation:

substitute y=0 into the equation

0=-16x²+153x+98

then use the quadratic formula

a = -16

b= 153

c = 98

Substituting values into the Quadratic equation, you get (Round the values to the nearest hundreth):

x₁= 10.17

x₂= -0.60

5 0

2 years ago

Find the value of x in the diagram below

TEA [102]

Answer:

Step-by-step explanation:

5x+37=87

5x=87-37

5x=50

X=50÷5

X=10

6 0

2 years ago

Read 2 more answers

The base of a cone has a radius of 4 millimeters and the height of the cone is 24 millimeters. What is the volume of the cone?

bixtya [17]

Answer:

The volume of the cone is 128π mm³ ⇒ answer (C)

Step-by-step explanation:

* Lets study the cone

- Its base is a circle

- Its height the perpendicular distance from its vertex to

the center of the base

- The length of its slant height = √(h² + r²)

- The volume of the con is 1/3 the volume of the cylinder

∵ The volume of the cylinder = πr²h

∴ The volume of the cone = (1/3) πr²h

* In our problem:

- r = 4 mm

- h = 24 mm

∴ Its volume = (1/3) × π × (4)² × 24 = 128π mm³

* The volume of the cone is 128π mm³

7 0

2 years ago

One freezer costs $623.95 and uses 90 kilowatt hours (kwh) of electricity each month. A second freezer costs $500 and uses 100 k

lutik1710 [3]

The minimum electric rate in cents per kwh for which the 12-year total cost will be less for the first freezer is 8.61 cents

<h3>How to calculate the rate?</h3>

Let x = minimum electric rate (Cents/kWh)

Total months in 12 years is 12*12 = 144 m

1st freezer

Total cost over 12 years is

623.95 (cost) + (90 kWh/m)*(144 m)(x/100 $/kWh)

= 623.95 + 129.6x

2nd freezer

Total cost over 12 years is

500 + 100*144*(x/100)

= 500 + 144x

For the 1st freezer to cost less over 12 years,

623.95 + 129.6x < 500 + 144x

123.95 < 14.4x

8.61 < x

The minimum rate is 8.61 cents per kWh

Learn more about rate on:

brainly.com/question/25537936

#SPJ1

8 0

1 year ago