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
julia-pushkina [17]
2 years ago
7

QUESTION IN PIC- 20 POINTS

Mathematics
1 answer:
sladkih [1.3K]2 years ago
7 0

Answer:

  18 terms

Step-by-step explanation:

The first given sequence has first term a1=2 and common difference d=5. Its explicit formula is ...

  an = 2 +5(n -1) = 5n -3

We want the n-th term of this sequence to be the same as the n-th term of the sequence defined by ...

  an = 4n +15

We can find n that makes this true by setting the 'an' values equal:

  an = an

  5n -3 = 4n +15

  n = 18 . . . . . . . . . . add 3-4n

The number of terms in each sequence is 18.

_____

<em>Additional comment</em>

The last term in each sequence is 87.

You might be interested in
A 22 inch TV costs $140. <br> It is on sale for 20% off.<br> How much will you save?
DIA [1.3K]

Answer:28 dollar

Step-by-step explanation: 140 x (20/100)= 28 dollar

140-28= 112 the price after the sale

5 0
3 years ago
Read 2 more answers
Help please!!!!!!!!!!
adelina 88 [10]

Answer:

Senior citizen: $9

Child: $11

Step-by-step explanation:

To solve this problem, we can use system of equations. Let's use x for senior citizen tickets and y for child tickets.

Equation 1: 7x+12y=195

Equation 2: x+13y=152

We can use substitution method to solve. There are also many other methods we can use. Substitution is only one of them. Let's solve for x in Equation 2.

x+13y=152                           [subtract both sides by 13y]

x=152-13y                

Now that we have x, we can plug it into Equation 1 and solve for y.

7(152-13y)+12y=195           [distribute by FOIL]

1064-91y+12y=195             [combine like terms]

1064-79y=195                    [subtract both sides by 1064]

-79y=-869                           [divide both sides by -79]

y=11

Now, we know that there are $11 of child tickets. To find x, we can plug y into any equation.

x+13y=152                           [plug in y=11]

x+13(11)=152                        [multiply]

x+143=152                           [subtract both sides by 143]

x=9

Now, we know that a senior citizen ticket is $9 and child ticket is $11.

8 0
3 years ago
Siobhan needs a $7,000 personal loan.
stira [4]
The correct answer is 24 month loan with a 10% annual simple interest rate
6 0
2 years ago
Read 2 more answers
. A random sample of 100 children with working mothers showed that they were absent from school an average of 6 days per term wi
erica [24]

Answer:

a) The equation is:

Confidence Interval = Mean ± Z score × Standard deviation/√Number of samples

b) The 98% confidence interval = (5.62784, 6.37216)

Step-by-step explanation:

a. Write down the equation you should use to construct the confidence interval for the average number of days absent per term for all the children. (10 points)

Confidence Interval = Mean ± Z score × Standard deviation/√Number of samples

b. Determine a 98% confidence interval estimate for the average number of days absent per term for all the children. (10 points)

Confidence Interval = Mean ± Z score × Standard deviation/√Number of samples

Mean = 6 days

Standard deviation = 1.6 days

Number of samples = 100

Z score of 98% confidence interval = 2.326

Confidence interval = 6 ± 2.326 × 1.6/√100

= 6 ± 2.326 × 1.6/10

= 6 ± 0.37216

= 6 - 0.37216

= 5.62784

6 + 0.37216

= 6.37216

Therefore, the 98% confidence interval = (5.62784, 6.37216)

6 0
2 years ago
Please help with this
tresset_1 [31]

Respuesta:839202829 :VVV

5 0
2 years ago
Other questions:
  • What two numbers multiply together to equal -32 and add together to equal positive four
    5·2 answers
  • Please help question #14!!!
    5·1 answer
  • 60÷5(7-5) what is the answer to this math equation?
    11·2 answers
  • cards marked with numbers 2 to 101 are placed in a box and mixed thoroughly. one card is drawn from this box. find the probabili
    9·1 answer
  • When Angelina was born, her grandparents deposited $3000 into a college savings account
    15·1 answer
  • Help please !!! At a local Brownsville play production, 420 tickets were sold. The ticket prices varied on the seating
    13·1 answer
  • Plz help taking a quiz???
    9·1 answer
  • jerry's softball team is made up of 15 players,and 9 of them are boys.On the team,what is ratios to boys to girls?
    11·1 answer
  • In PQR, point C is the centroid. if CZ=8, then QC=
    10·1 answer
  • Mario and Patience are making cookies. They are ready to drop balls of dough on baking sheets. They have baking sheets made of t
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!