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baherus [9]
3 years ago
6

Can someone help me with this

Mathematics
1 answer:
Helen [10]3 years ago
4 0
I cant see it well try to get a better pic and i can help you 
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Find the 21st term in the arithmetic sequence.<br> 3, 7, 11, 15, 19, ...
NNADVOKAT [17]

The 21st term of the given arithmetic sequence is 83. The nth term of an arithmetic sequence is applied to find the required value where n = 21.

<h3>What is the nth term of an arithmetic series?</h3>

The nth term of an arithmetic sequence is calculated by the formula

aₙ = a + (n - 1) · d

Here the first term is 'a' and the common difference is 'd'.

<h3>Calculation:</h3>

The given sequence is an arithmetic sequence.

3, 7, 11, 15, 19, ....

So, the first term in the sequence is a = 3 and the common difference between the terms of the given sequence is d = 7 - 3 = 4.

Thus, the required 21st term in the sequence is

a₂₁ = 3 + (21 - 1) × 4

⇒ a₂₁ = 3 + 20 × 4

⇒ a₂₁  = 3 + 80

∴ a₂₁  = 83

So, the 21st term in the given arithmetic sequence is 83.

Learn more about the arithmetic sequence here:

brainly.com/question/6561461

#SPJ1

5 0
1 year ago
(3x+2)∧2=9 how do i solve this in the square root property
Irina18 [472]
(3x+2)^2=9 \\\\9x^2+12x+4-9=0\\\\9x^2+12x-5=0\\\\a=9,\ \ b=12, \ \ c=-5

x_{1}=\frac{-b-\sqrt{b^2-4ac}}{2a}=\frac{-12-\sqrt{12^2-4 \cdot9 \cdot (-5)}}{2 \cdot 9}=\frac{-12-\sqrt{144+180}}{18}=\\\\=\frac{-12-\sqrt{324}}{18}=\frac{-12-18}{18}=\frac{-30}{18}=-\frac{5}{3}\\\\x_{2}=\frac{-b+\sqrt{b^2-4ac}}{2a}=\frac{-12+\sqrt{12^2-4 \cdot9 \cdot (-5)}}{2 \cdot 9}=\frac{-12+18}{18}=\frac{6}{18}=\frac{1}{3} \\\\Answer: \ x=-\frac{5}{3}\ \ and \ \ x=\frac{1}{3}
 

6 0
3 years ago
HELP PLEASE ASAP!!!!!!
lesya692 [45]
Alright, as we can see the large rectangle's area is 4x² + 9x + 2.

You can also see that gray rectangle's area inside the larger rectangle is
x² + 4x + 3.

So if we want to find the white area in-between the two rectangles we will need to SUBTRACT the two formulas! (Subtract the large rectangle from the smaller one)

To do so we will need to subtract the like terms.
The like terms are 4x² and x², 9x and 4x, 2 and 3!

So first we do 4x² - x² and you get 3x²
Next, we do 9x - 4x and you get 5x
Lastly, we do 2 - 3 and you get -1

Now we put our solutions together and you get...

3x² + 5x - 1

This is the are for the white region of your problem. :D  glad to help
 

6 0
3 years ago
Let x equal the age, in human years, for a dog that is 2 years old or older. For each of your chosen breeds, write an expression
timofeeve [1]
For the answer to the question above asking to<span> write an expression to model its age in dog years</span><span> for a dog that is 2 years old or older. If x is equal to human age 
then the dog is 2 years older
X = human years
x + 2 =  is for the dog age

</span>
7 0
3 years ago
What is the area of the polygon shown below? (in the image). A. 322 mm^2 B. 364 mm^2 C. 520 mm^2 D. 584 mm^2 Show all work pleas
GalinKa [24]

Answer:

A. 322 mm^2

Step-by-step explanation:

First split the shape into two (a rectangle and a triangle).

Then calculate the area of those shapes.

Rectangle: 20 x 14 =  280 mm^2

Triangle: 6 x 14 / 2 = 42 mm^2

Add them together.

280 + 42 = 322 mm^2

3 0
3 years ago
Read 2 more answers
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