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Anestetic [448]
3 years ago
8

Answerrrr this qustion

Mathematics
2 answers:
stiv31 [10]3 years ago
5 0
G, you were on the right track! Just finish the problem - 15x=2250. Divide both sides by 15, and you get 150. Hope I helped! :)
dsp733 years ago
3 0
The answer would be 150
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Write a recursive formula and an explicit formula for the following arithmetic sequence.
xenn [34]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the sequence

11, 13, 15, 17, 19, ...

Determining the Recursive formula:

We know that a recursive formula is termed as a formula that specifies each term of the given sequence using the preceding terms.

From the given sequence it is clear that every term can be obtained by adding two to the previous term.

i.e. 13 = 11+2, 15 = 13+2, 17 = 15+2, 19 = 17+2

so

aₙ₊₁ = aₙ+2, for n ≥1

Therefore, a recursive formula is:

  • aₙ₊₁ = aₙ+2, for n ≥1

Determining the Explicit formula:

Given the sequence

11, 13, 15, 17, 19, ...

An arithmetic sequence has a constant difference 'd' and is defined by  

a_n=a_1+\left(n-1\right)d

computing the differences of all the adjacent terms

3-11=2,\:\quad \:15-13=2,\:\quad \:17-15=2,\:\quad \:19-17=2

The difference between all the adjacent terms is the same and equal to

d=2

also

a_1=11

so substituting d=2, a_1=11 in the nth terms

a_n=a_1+\left(n-1\right)d

a_n=2\left(n-1\right)+11

a_n=2n+9

Therefore, the Explicit formula is:

a_n=2n+9

4 0
3 years ago
Solve for x<br> 4(x−3)=8(x−1)
ikadub [295]

Answer:

x=-1

Step-by-step explanation:

4(x−3)=8(x−1)

Distribute

4x - 12 = 8x -8

Subtract 4x

4x-12 -4x= 8x-8-4x

-12 = 4x-8

Add 8 to each side

-12+8 = 4x-8+8

-4 = 4x

Divide by 4

-4/4 = 4x/4

-1 =x

8 0
2 years ago
Read 2 more answers
Triangle ABC is to be translated right 3 units, down 5 units. What are the vertices of the translated triangle? A. A'(0, 9), B'(
jeka57 [31]
It is A. Because the point a would be on the -1 and the b would be on the -7 and the c would be on the -4
6 0
3 years ago
The radius of a circle is 4 feet. What is the circle's circumference?<br> r=4 ft<br> Use 3.14 for n.
Alexxandr [17]

Answer:

C = 25.12 feet

Step-by-step explanation:

C = 2 x 3.14 x 4

C = 25.12 feet

8 0
3 years ago
A force of 3 pounds acts in the direction of 42 degrees to the horizontal. The force moves an object along a straight line from
EastWind [94]

Answer:

11.37 lb-ft

Step-by-step explanation:

We are given that

Force,F=3 pounds

\theta=42^{\circ}

Let Point  A (3,7)  and point B(8,8)

We have to find the work done by the force.

d==

r=\mid d\mid=\sqrt{x^2+y^2}=\sqrt{5^2+1^2}=\sqrt{26} feet

We know that Work done by the force

W=Frcos\theta

Substitute the values

W=3\times \sqrt{26}cos42=11.37 lb-ft

Hence, the work done by the force =11.37 lb-ft

6 0
3 years ago
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