Given the explicit formula for an arithmetic sequence find the term
named in the problem. *
an = 21 + (n − 1) • 45

Find a38

Answers

Answer 1

Answer:

Step-by-step explanation:

n = 38

a38 = 21 + (38 - 1)*45

a38 = 21 + 37*45

a38 = 21 + 1665

a38 = 1686


Related Questions

When 2 lines cross, 2 pairs of vertical angles are formed. What is the sum of all 4 angles?

A.
180°
B.
270°
C.
360°
D.
540°

Answers

Answer:

C. 360°

Step-by-step explanation:

Two pairs form a complete angle with a sum of 360°.

Find the value of x.

Answers

ANSWER: x=8

EXPLANATION: the sides are the same length, put x-1 equal to 7 and solve.

Pls pls pls helpp , im begging you , will mark the brainliest

Answers

f: 147 degrees (alternate)
c: 33 degrees (supplementary angles add to 180)

Answer:

angle f=147 degrees (alternate angles)

angle e=    33 degrees

Step-by-step explanation:

angle d =147 degrees

angle f=147 degrees (alternate angles)

angle e +angle d=180 (allied angles)

        e+ 147         =180

                   e      =180-147

                    e     =    33 degrees

Assume that an investment of $7000 earns an APR of 6% compounded monthly for 18 months.

How much interest has been earned?

Answers

Answer: sorry I wasn’t able to tell u the exact number but check out this link it should help u

Step-by-step explanation:

https://www.wyzant.com/match


The Torrence family has a rectangular, in-ground pool in their yard. It holds 1700 ft of water. If it is 17 ft wide and 4 ft deep,
what is the length of the pool

Answers

9514 1404 393

Answer:

  25 ft

Step-by-step explanation:

The volume is given by the formula ...

  V = LWD . . . . . the product of length, width, depth

Solving for L, we have ...

  L = V/(WD) = (1700 ft³)/((17 ft)(4 ft)) = 100/4 ft = 25 ft

The length of the pool is 25 ft.

Points A and B are represented on the number line.
А
B
-ht
-2
-1
0
1
2
Determine whether each inequality is true or false. Choose "True" or "False" for each inequality.
Statement True or False?
IAI > IBI
True
False
IAI > 0
True
False
A>B
True
False

Answers

Answer:

Points A and B are represented on the number line.

А

B

-ht

-2

-1

0

1

2

Determine whether each inequality is true or false. Choose "True" or "False" for each inequality.

Statement True or False?

IAI > IBI

False

IAI > 0

False

A>B

true

Which describes the relationship between the distance and the difference?\

Answers

Answer:

The distance is always the opposite of the difference.The distance is the absolute value of the difference.

Hope it helps you.Have a nice day!!

Answer:

The distance is the absolute value of the difference

Step-by-step explanation:

Sum is the when 2 or more numbers are added . Difference is the quantity at which 2 numbers differ i.e difference between 9 and 7 is 2. If you are talking about distance in reference to segment the distance ishow far apart two points are.

What is the fraction or mixed number and write in its simplest form.
3.8416

3.8416=—- (type an integer,proper fraction, or mixed number.)

Answers

Answer:

38416/10000

plss mark me brainliestt

Step-by-step explanation:

3.8416=38416/10000


If a >b, then A must be positive number.

Answers

Step-by-step explanation:

NO,IT DEPENDS UPON SITUATIONS

IF B IS -5 THEN A CAN BE -2,-4,-3 OR 1 ,2,3,4,......

Plz solve the following with steps (people who just come by without answering the question and taking the points may end up as ban)

Answers

Answer:

12)  3/5=534 students

13)  2151 kg

14)a)7.1 US$

   b)total=10.2 US$

Step-by-step explanation:

12)students who had lunch=2/5*890

                                            =356 students

 students who did not have lunch=5/5-2/5

                                                         =3/5*890

                                                        =534 students

14)a)4pens=180 cents

       2 books=5.3$

      total=7.1 US$

b)5 pens=225 cnets

   3 books=7.95 US$

  total=10.2 US$

 

10)ate=1 over 8

    remaining=8/8-1/8

                     =7/8

after six hours=7/8*2/5

                        =7 over 20

total ate=1/8+7/20

            =14+5 over 40

           =19 over 40

remaining=40 over 40 - 19 over 40

                =   21 over 40

to dog=21/40 *1/4

          =21 over 160

total=19 over 40 +21 over 160

        =152+21 over 160

         =173  over 160

Sorry I am stucked from here.

Please help! will mark brainliest.
only answer if you truly know
Find (ƒ – g)(x) where ƒ(x) = –x^2, g(x) = –(x + 4)^2

(ƒ – g)(x) = –8x – 16
(ƒ – g)(x) = –2x2 + 8x + 16
(ƒ – g)(x) = –2x2 – 8x – 16
(ƒ – g)(x) = 8x + 16

Answers

Answer:

D

Step-by-step explanation:

We are given the two functions:

[tex]f(x) = -x^2 \text{ and } g(x) = -(x+4)^2[/tex]

And we want to find:

[tex](f - g)(x)[/tex]

Recall that this is equivalent to:

[tex]= f(x) - g(x)[/tex]

Substitute:

[tex]\displaystyle = (-x^2) - (-(x + 4)^2)[/tex]

Simplify:

[tex]= -x^2 + (x+4)^2[/tex]

Perfect square trinomial:

[tex]= -x^2 + (x^2 + 8x + 16)[/tex]

Combine like terms. Therefore:

[tex]= 8x + 16[/tex]

In conclusion:

[tex](f - g)(x) = 8x + 16[/tex]

Our answer is D.

Simplify the following expression and show your work in details please .

Answers

Answer:

-2

Step-by-step explanation:

First you distribute:

= 6t + (3) (1) + (3) (-2t) + -5

= 6t + 3 + -6t - 5

Then combine like terms

(6t + -6t) + 3 + -5)

= -2

Determine the sum by suitable re arrangement .
a) 6254 + 1297 + 446 + 103 Ans:
b) 1983 + 647 + 217 + 353 2.​

Answers

Answer:

a.8100

b.3200

Step-by-step explanation:

hope you're okay

write 1000 as a product using 10 as a factor

Answers

Answer:

-

Step-by-step explanation:

Answer:

The answer is right here for you!

Here it is:10x100

2. Which group of numbers is in size order?

A. 3.10 - 3.20 - 3.09 - 3.55
B. 3.09 - 3.10 - 3.2 - 3.5
C. 3.10 - 3.20 - 3.09 - 3.55
D. 3.1 - 3.55 - 3.2 - 3.09

Answers

Answer:

B. 3.09-3.10-3.2-3.5 is the answer

Natalie reads an average of 205 minutes a week. A year has 52 weeks.

How many minutes does Natalie read in a year?

Answers

Multiply weeks by minutes per week:

52 x 205 = 10,660 total minutes per year

Answer:  10660 minutes

Work Shown:

205 minutes: 1 week

52*(205 minutes) : 52*(1 week)

10660 minutes : 52 weeks

10660 minutes : 1 year

log 3x^3-log x^2= log 27 - log x​

Answers

Answer:

First of all, this equation is defined on ]3,+∞[ because you need x+3>0 and x−3>0 at the same time or the log won't be defined.

The log function maps a sum into a product, hence log(x+3)+log(x−3)=27⇔log[(x+3)(x−3)]=log27.

You now apply the exponential function on both sides of the equation : log[(x+3)(x−3)]=log27⇔(x+3)(x−3)=27⇔x2−9=27⇔x2−36=30. This is a quadratic equation that has 2 real roots because Δ=−4⋅(−36)=144>0

You know apply the quadratic formula x=−b±√Δ2a with a=1 and b=0, hence the 2 solutions of this equation : x=±6

−6∉]3,+∞[ so we can't keep this one. The only solution is x=6.

Step-by-step explanation:

I THINK IT HELP U

X=6 is your anwser !!

I apologize for asking this again but I need help finding the complementary angles, ASAP

Answers

Answer:

2nd option is correct

∠AEF and ∠FED , ∠AEG and ∠CEG

Step-by-step explanation:

1st option is a supplementary and even 3rd and 4th options

a line passes through the points 3, 0 and 4, 1. what is the y-intercept of the line

Answers

9514 1404 393

Answer:

  (0, -3)

Step-by-step explanation:

The slope is the same for any segment of the line. The slope from (0, y) to (3, 0) is the same as from (4, 1) to (3, 0).

  Δy/Δx = (y -0)/(0 -3) = (1 -0)/(4 -3)

  y = -3(1/1) = -3 . . . . . multiply by -3

The y-intercept is (0, -3).


Simplify: (5x² – 3x + 7x) + (9x² + 2x² + 7x)
O 14x2 – x2 + 14x
O 14x2 + 13x
O 16x4 + x3
O 16x2 + 11x
O 16x2 – 11x

Answers

Answer:

16x^2+11x

Step-by-step explanation:

(5x² – 3x + 7x) + (9x² + 2x² + 7x)

Combine like terms

5x^2+9x^2+2x^2-3x+7x+7x

16x^2+11x

¾ + ½ =
Plz help me
I neeeeed help

Answers

1.25 would be the answer

answer

1.25

Step-by-step explanation:

[tex] \frac{3}{4} + \frac{1}{2} [/tex]

[tex] \frac{3 \times 1 + 1 \times 2}{4} [/tex]

[tex] \frac{3 + 2}{4} [/tex]

[tex] \frac{5}{4} [/tex]

[tex]1.25[/tex]

I hope this will help you..please mark my answer as BRAINLIEST....

What is the absolute value of 6.4?

Answers

Answer:  = 6.46.4 is the answer because when asking the absolute value of a positive number it always stays the same.

Absolute value of 6.4 is 6.4 itself.

What is the number line?

A horizontal line with evenly spaced numerical increments is called a number line. How the number on the line can be answered depends on the numbers present. The use of the number is determined by the question that if corresponds to, such as when graphing a point.

Since, Absolute value describes the distance from zero that a number is on the number line, without considering direction. The absolute value of a number is never negative.

Thus, the absolute value of a positive number is always positive

Therefore, the Absolute value of 6.4 is 6.4.

Learn more about number line here:

https://brainly.com/question/28625166

#SPJ1

Help me with both of you, please, I'll give you more points​

Answers

Answer:

1. 80 or D

2. 18 or A

Step-by-step explanation:

well if a triangle is 400 square inches that mean the area is 400 and we know that the formula for area of a triangle is 1/2bh. we can do 400 = 10h/2 and now we solve for h. so times by 2 to get 800 = 10h and divide by 10 to get 80 inches. now substitute 80 in the equation and you get 400. so the answer is true.

for the second one the area of a trapezoid is (b_1+b_2)/2 • h so we substitute again to get 342 = 38h/2. now we can times by 2 to get 684 and divide by 38 to get 18. or you can do 19h = 342 and get 18.

now if you substitute the 18 in the equation you end up with 342. so the answer is true

Evaluate -1/5 ab if a =3/7 and b =5/8 . Write in simplest form.

Answers

Step-by-step explanation:

x = 1/4

4x = 4 * 1/4 = 4/4 = 1.

Help!
Which expression is equivalent to—

Answers

Answer:

2a

Step-by-step explanation:

[tex] \frac{4a + 4}{2a} \times \frac{ {a}^{2} }{a + 1} [/tex]

➡️ [tex] \frac{4(a + 1)}{2} \times \frac{a}{a + 1} [/tex]

➡️ [tex] = 2a[/tex] ✅

50% is 20% of what number?

Answers

Answer:

I think the answer is 30 percent

100 yojan=how much km?​

Answers

Answer:

100 yojan=how much km

1287.48

please brainlist

Help me please!!!٩(๑꒦ິȏ꒦ິ๑)۶
the 1st one ​

Answers

9514 1404 393

Explanation:

Add sin(θ)

  cos(θ) = sin(θ)

Divide by cos(θ)

  1 = sin(θ)/cos(θ) = tan(θ)

Square both sides

  1 = tan²(θ)

Add 1

  2 = tan²(θ) = sec²(θ)

Take the square root

  √2 = sec(θ) . . . . for 0 < θ < π

_____

Additional comment

The equation cos(θ) -sin(θ) = 0 has two solutions: θ = π/4 and θ = 5π/4. For the first-quadrant solution, sec(θ) = √2. For the third-quadrant solution, sec(θ) = -√2.

Solve it please with its explaination

Answers

Answer:

Answer is 2x^2 + 1x - 15

Step-by-step explanation:

2x^2 + 6x - 5x - 15 2x^2 + 1x - 15

A savings account with $1,000 has no other
deposits or withdrawals made. The account earns
2.5% annual interest t years after the $1,000 was
deposited. The function f(t) = 1,000(1.025)* can
be used to represent the balance, in dollars, in
the savings account.
Which amount is closest to f(5), the balance, in
dollars, in the account at the end of 5 years?

A 5,125
B 5,000
C 1,362
D 1,131
E 1,064

Answers

Answer:

A = P (1 + i)^n     where the principal P equals amount A after n periods

P = 1000     and i = .025 / yr

A1 = A (1.025) = 1025

A2 = A1 (1.025) = A (1.025)^2     etc

A5 = A (1.025)^5 = 1000 * (1.025)^5 = 1131 after 5 years

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