1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
guapka [62]
3 years ago
5

Write an explicit equation for the arithmetic sequence 3,7,11,15,19

Mathematics
1 answer:
Serggg [28]3 years ago
6 0

Answer:

Arithmetic Sequence:  

d=4

Step-by-step explanation:

This is an arithmetic sequence since there is a common difference between each term. In this case, adding  4 o the previous term in the sequence gives the next term. In other words, aₙ=a₁+d(n-1)

You might be interested in
Can u please help to warn: No links or I will report thank you, and have a blessed day!!
aleksandr82 [10.1K]

Answer:

1.) 1/4

2.) 5/12 i am not sure about this one

Step-by-step explanation:

1.) Chance of tales:

Chance of even number: 3/6 or 1/2

Multiply: (1/2)(1/2) = 1/4

7 0
2 years ago
You are to manufacture a rectangular box with 3 dimensions x, y and z, and volume v=8000. Find the dimensions which minimize the
Inga [223]

Answer:

20 by 20 by 20

Step-by-step explanation:

Let the total surface of the rectangular box be expressed as S = 2xy + 2yz + 2xz

x is the length of the box

y is the width and

z is the height of the box.

S = 2xy + 2yz + 2xz ... 1

Given the volume V = xyz = 8000 ... 2

From equation 2;

z = 8000/xy

Substituting into equation 1;

S = 2xy + 2y(8000/xy)+ 2x(8000/xy)

S = 2xy+16000/x+16000/y

Differentiating the resulting equation with respect to x and y will give;

dS/dx = 2y + (-16000x⁻²)

dS/dx = 2y - 16000/x²

Similarly,

dS/dy = 2x  + (-160000y⁻²)

dS/dy = 2x - 16000/y²

Note that at the turning point, ds/dx = 0 and ds/dy = 0, hence;

2y - 16000/x² = 0 and 2x - 16000/y² = 0

2y = 16000/x² and 2x = 16000/y²

2y = 16000/(8000/y²)²

2y = 16000×y⁴/64,000,000

2y = y⁴/4000

y³ = 8000

y =³√8000

y = 20

Given 2x = 16000/y²

2x = 16000/20²

2x = 16000/400

2x = 40

x = 20

Since Volume of the box is V = xyz

8000 = 20(20)z

8000 = 400z

z = 8000/400

z = 20

Hence, the dimensions which minimize the surface area of this box is 20 by 20 by 20.

3 0
3 years ago
3x + 12+ 9x - 72<br><br><br>Solve?​
Reil [10]

Answer:

12x - 60

Step-by-step explanation:

3x+12+9x-72\\=3x+9x+12-72\\=12x+12-72\\=12x-60

5 0
2 years ago
PLEASE HELP ME!!!! PLEASE
Ann [662]
D your welcome man:)
3 0
3 years ago
Read 2 more answers
A normal distribution has a mean of 20 and a standard deviation of 4. Determine the z-score for the data value of 42.
QveST [7]

Answer:

Z = (42-20)/4 = 5.5

Z = X-μ / σ

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Other questions:
  • It's not 0.9158 or w/ the added 5 XP
    6·1 answer
  • kevin’s savings accounts had x dollars in it at the beginning of the month.at the end of the month,there was 4% more money in ke
    12·1 answer
  • What is the answer to 17x-7=3+12x
    12·1 answer
  • Pat and Julie share some money in the ratio 2 : 5
    8·1 answer
  • 4.
    6·1 answer
  • Given that QN = QM, find NQM.<br><br> A. 40°<br><br> B. 80°<br><br> C. 100°<br><br> D. 140°
    15·2 answers
  • Find the area of a circle with a circumference of 6.28 units.<br> _______units^2
    12·1 answer
  • Canadians who visit the United States often buy liquor and cigarettes, which are much cheaper in the United States. However, the
    15·1 answer
  • Which of the following is true about the function below? 1/√x-6
    15·1 answer
  • Write an ordered-pair rule for the translation in the sequence that maps AEFG to AE'F'G'. 4 Points ANSWER: Translation rule: (x,
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!