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Akimi4 [234]
3 years ago
8

What is the 100th term in the sequence 5, 9, 13, 17, 21 ?

Mathematics
1 answer:
olga_2 [115]3 years ago
5 0

Answer:

401

Step-by-step explanation:

a=5

d=9-5=4

a_{n}=a+(n-1)d\\a_{100}=5+(100-1)4=5+400-4=401

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Verify the identity<br><br> cos quantity x plus pi divided by two = -sin x
In-s [12.5K]

Answer:

Identity is verified.

Step-by-step explanation:

We have to verify the identity cos(x+\frac{\pi }{2}) = (- sinx)

To prove any identity we always prove one side(either left hand side or right hand side) of the equation equal to the other side.

In this identity we take the left hand side first

cos(x+\frac{\pi}{2})

=cosx\times cos(\pi/2)-sinx\times sin(\pi/2))  (as we know cos(a+b) = cosa×cosb-sina×sinb)

= cosx\times0-sinx\times1

= 0-sinx

= - sinx ( Right hand side)

Hence identity is proved.

6 0
3 years ago
What would -3/4 look like as a slope?
gizmo_the_mogwai [7]
The slope would appear linear in the negative direction. It would have a rise of 3, and a run of 4. The picture is the function “y = -3/4x”

3 0
2 years ago
Q1. Find the measure of angle 1. Show your work.
OlgaM077 [116]

Answer:

1. 110°

2. 139°

Step-by-step explanation:

1. 180° in a triangle

180 - 40 - 30 = 110°

2. 180° in a triangle

angles on a straight line add up to 180°

180 - 64 - 75 = 41°

180 - 41 = 139°

4 0
3 years ago
How do you grow your own equations
natita [175]
You can formulate your own equations by analyzing the given problem and its statements. You can do some illustrations so you can understand it better. Introduce some variables and the rest is algebra. For example:

An orange costs $2 while a banana costs $1.5. How many oranges and bananas do you have to buy such that the total cost would equal to $20. You bought a total of 12 fruits.

First, you have to introduce variables. Let 'x' be the number of oranges and 'y' be the number of bananas. One equation you can get from here is knowing the amount of total cost: 2x + 1.5y = 20. Then, the other equation would be knowing the amount of fruits: x+y=12. You have two unknowns and two equations. Hence, you can solve the problem. Solving them simultaneously, you would get that x=4 and y=8.
4 0
3 years ago
What is the quotient of 3,968 ÷ 32​
Arisa [49]

Answer:

124

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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