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Nady [450]
3 years ago
8

How do I solve this finding the first four of the sequence?

Mathematics
1 answer:
nexus9112 [7]3 years ago
4 0

Answer:

- 7, - 3, 1, 5

Step-by-step explanation:

Using the recursive rule and a₁ = - 7, then

a₂ = a₁ + 4 = - 7 + 4 = - 3

a₃ = a₂ + 4 = - 3 + 4 = 1

a₄ = a₃ + 4 = 1 + 4 = 5

The first four terms are - 7, - 3, 1, 5

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Find the missing side.<br> Round to the nearest tenth.<br> For all 4 pics
Firlakuza [10]

Answer:

1st pic) 17.8

2nd pic) 16.8

3rd pic) 9.1

4th pic) 13.5

Step-by-step explanation:

<u>1st pic:</u> cos = \frac{adjacent}{hypothenuse}

(write equation) Cos 27 (cos 27 = 0.89) = \frac{x}{20}

(new equation) 0. 89 = \frac{x}{20}

(multiply 20 on both sides) 0.89 x 20 = \frac{x}{20} x 20

(solve) 17.8 = x

<u>2nd pic:</u> tan = \frac{adjacentx}{hypothenuse}

(write equation) tan 40 (tan 40 = 0.84) = \frac{32}{x}

(new equation) 0.84 =  \frac{32}{x}

(multiply 32 on both sides) 0.84 x 20 =  \frac{32}{x} x 20

(solve) 16.8 = x

<u>3rd pic:</u> cos = \frac{adjacent}{hypothenuse}

(write equation) cos 55 (cos 55 = 0.57) = \frac{16}{x}

(new equation) 0.57 = \frac{16}{x}

(multiply 16 on both sides) 0.57 x 16 = \frac{16}{x} x 16

(solve) 9.1 = x

<u>4th pic:</u> tan = \frac{adjacentx}{hypothenuse}

(write eqaution) tan 42 (tan 42 = 0.90) = \frac{x}{15}

(new equation) 0.90 = \frac{x}{15}

(multiply 15 on both sides) 0.90 x 15 = \frac{x}{15} x 15

(solve) 13.5 = x

4 0
3 years ago
Keshawn is asked to compare and contrast the domain and range for the two functions.
scoray [572]
For the function 5x, the range is the value of f(x) which is five times the x and the domain is the value of x which can be the ratio of f(x) and 5. For the second function which is g(x) = 5, the range is 5 all through out the graph while the domain is infinity.
5 0
3 years ago
calculate the total potential energy in kj of an object whose mass is 20 kg when it is located 20 m below a datum level in a loc
Airida [17]

Answer:

The energy in object is 3.8 Kilo Joules.  

Step-by-step explanation:

We are given the following in the question:

Mass = 20 kg

Height,h = 20 m

g=9.5 m/s^2

Formula:

Potential energy  =

E = Mgh

Putting value we get,

E = 20(20)(9.5)\\E = 3800~J\\E = 3.8~KJ

Thus, the energy in object is 3.8 Kilo Joules.

5 0
3 years ago
4. Asia is designing a triangular-shaped window with a height of 15 inches and
Anni [7]

Answer:

18in

Step-by-step explanation:

Given data

Height h= 15 in

Area= 135 in^2

The expression for the area is given as

Area= 1/2 Base * Height

substitute

135= 1/2* Base*15

135= 7.5 Base

Base= 135/7.5

Base=  18 in

Hence the base is 18in

3 0
3 years ago
An item is priced at $14.74. If the sales tax is 4%, what does the item cost including sales tax? A. $20.64 B. $15.33 C. $0.59 D
otez555 [7]
The question already has all the information's that are required for getting to the solution. It is important to minutely look at all the details provided.
Actual price of the item = $14.74
Percentage of sales tax that needs to be added = 4%
Then
Amount of sales tax that needs to be added = (4/100) * 14.74 dollars
                                                                       = 58.96/100 dollars
                                                                       = 0.5896 dollars
                                                                       = 0.59 dollars
Then
The cost of the item including sales tax = (14.74 + 0.59) dollars
                                                                 = 15.33 dollars
From the above deduction we can easily conclude that the correct option among all the options given in the question is option "B".
4 0
4 years ago
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