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sergejj [24]
3 years ago
7

Find the 22nd term of the arithmetic sequence whose common difference is d=2 and first term is a1 = -25

Mathematics
2 answers:
Cerrena [4.2K]3 years ago
8 0

Answer:

Hello

a=-25

d=2

a22=a+(n-1)d

     =-25+(22-1)2

     =-25+(21)2

     =-25+42

     =17

Step-by-step explanation:

Inessa [10]3 years ago
6 0

Answer:

17

Step-by-step explanation:

an=a1+(n-1)d

a22=-25+21(2)

a22=17

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A number, n, is multiplied by -5/8. The product is -0.4. What is the value of n?
Advocard [28]
The answer is D. 16/25

-5/8 = -0.625

-0.4 divided by -0.625 = 0.64

0.64= 16/25
5 0
3 years ago
4. Which of the following lines is perpendicular to y = -2X + 8?
Alenkinab [10]

For this case we have to by definition, if two lines are perpendicular then the product of its slopes is -1.

That is to say:

m_ {1} * m_ {2} = - 1

We have the following equation:

y = -2x + 8

So:

m_ {1} = - 2

Thus:

m_ {2} = \frac {-1} {m_ {1}}\\m_ {2} = \frac {-1} {- 2}\\m = \frac {1}{2}

Thus, a line perpendicular to the given line must have slope m = \frac {1} {2}.

Option A:

x + 2y = 8\\2y = -x + 8\\y = - \frac {1} {2} x + 4

It is not perpendicular!

Option B:

x-2y = 6\\2y = x-6\\y = \frac {1} {2} x-3

If it is perpendicular!

Option C:

2x + y = 4\\y = -2x + 4

It is not perpendicular!

Option D:

2x-y = 1\\y = 2x-1

It is not perpendicular!

The correct option is option B

ANswer:

Option B

5 0
3 years ago
The grocery store is having a sale on frozen vegetables. 4 bags are being sold for $5. At this rate, what is the cost of 7 bags?
Brums [2.3K]

Answer:

$8.75

Step-by-step explanation:

Create a proportion where x is the cost for 7 bags:

\frac{4}{5} = \frac{7}{x}

Cross multiply and solve for x:

4x = 35

x = 8.75

So, the cost of 7 bags is $8.75

8 0
3 years ago
Read 2 more answers
(6-t-t^4)+(9t+t^4)<br> Help
Fynjy0 [20]

Answer:

6+8t

Step-by-step explanation:

5 0
3 years ago
WILL GIVE BRAINLIEST!!!!!!!!!!!!! the answer for question one was x=30
VMariaS [17]

Answer:1

1. x = 30

2. ∠ABC = 120°, ∠BCD = 90°, ∠CDA = 60°, ∠DAB = 90°

Step-by-step explanation:

It's important to note here that the measure of all interior angles in a quadrilateral will add up to 360°

We know this using the formula(n-2)\cdot 180, a 4 sided figures angles will add up to

(4-2)\cdot 180\\\\2\cdot 180\\\\360

This means that all of the angles (4x, 3x, 2x, 3x) will add up to 360.

4x + 3x + 2x + 3x = 360

Combine like terms:

12x = 360

Divide both sides by 12:

x = 30

We know now substitute x for 30 in for all of the side lengths.

∠ABC = 4x = 4\cdot 30 = 120°

∠BCD = 3x = 3\cdot 30 = 90°

∠CDA = 2x = 2\cdot 30 = 60°

∠DAB = 3x = 3\cdot 30 = 90°

Hope this helped!

4 0
3 years ago
Read 2 more answers
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