Find the 45th term of the arithmetic sequence has the first term = -3 and d = 2.

Answers

Answer 1

Answer:

45th term is 85

Step-by-step explanation:

We use the definition of the nth term of an arithmetic sequence:

[tex]a_n=a_1+(n-1)\,d[/tex]

which for our case gives:

[tex]a_n=a_1+(n-1)\,d\\a_n=-3+(45-1)\,2\\a_n=-3+44*2\\a_n=-3+88\\a_n=85[/tex]


Related Questions

A container is leaking 1 liter every 3/4 hour.How many liters will it leak in 3 3/4 hours

Answers

Answer: 5 liter

Explanation:

1 liter leaked for every 3/4 hr

X liter leaked in 3 3/4hr

And: 3 3/4 = 15/4

Find x:

1/x = (3/4)/(15/4)
(3/4)x = 15/4
x = 15/4 x 4/3
x = 5

The table represents the functions f(x) and g(x) Which input value produces the same output value for
the two functions?
x= -12
x=-9
x=-6
x=-3
Please help

Answers

Answer:

x=-6

Step-by-step explanation:

g(-6)=3

f(-6)=3

how many solutions does this problem have: 2(75 + 8) = 5(85 + 9)​

Answers

0 solutions.

2(75+8) =5(85+9)

166≠470

Which inequality represents this graph? 3y-9>6

Answers

Answer:  open hole at 5 and shading to the right.

The graph is below.

=======================================================

Explanation:

Let's solve for y

3y - 9 > 6

3y > 6+9

3y > 15

y > 15/3

y > 5

The graph will have an open hole at 5 and shading to the right.

Help PLEASE!!! This is urgent

Answers

Answer:

.3

Step-by-step explanation:

7+7+6=20

6 green out of 20 total

.30 chance

pls help I will fail 10th grade

Answers

Answer: A

Step-by-step explanation: Okay so there are plenty of steps to this equation but to save you time, the answer is A. If your puting

you answer into decimal form it woukd equal x= 4  x= -2.5

I need help on this math question please fully answer the question i need help.

Answers

So first the answer is why aren’t you doing it yourself and the second one is I don’t understand why you need to be using brainless

The other answer choice is 30

Answers

Answer:

21 pencils

Step-by-step explanation:

b 21 pencils

Show that sec^2x+csc^2x/sec^2xcsc^2x

Answers

Answer:

[tex]\frac{1}{csc^{2}(x)}+\frac{1}{sec^{2}(x)}[/tex]

Step-by-step explanation:

The image below shows step-by-step on how to solve it.

Hope this helps! :)

Emmett surveyed his class about the number of books his classmates read over the summer. The results of his survey are shown in the
following table.
Number of books Number of students
0-1
9
2-3
8
4-5
2
6-7
5
8-9
3
Emmett created the following histogram from the data, but he made mistakes while constructing it.
Select the parts of the histogram that Emmett needs to fix for the histogram to accurately represent the data in the table.
Number of Books Read
During Summer Break
у
10
Number of Students
8
6
0
10
8
Number of Books Read
no

Answers

Answer:

The bar 4-6 and 8-10

Step-by-step explanation:

I got it correct.

Ms. Psenicska is driving her car at 60 miles per hour. She then increases her speed by 25%. Which of the following expressions can be used to find her
new speed? Select all that apply
60 (0.75)
60 (0.25)
60 - 60 (0.25)
60+ 60 (0.25)
Cam you help me please

Answers

Answer:

60 (0.25)

Step-by-step explanation:

Mark has taken 3 tests this semester and his average is a 78%. He really wants to
get his test average to an 80% after his next test. What does he need to get on test
#4 to do that?

Answers

Answer:

I would say 82 but it depends on how much each test was worth.

Step-by-step explanation:

Caroline saved $3.84 on a discounted item that was marked down 15% off of the original price of the item. What was the
original price of the item before the discount?
A $57.60
$18.84
OC $4.42
D $25.00

Answers

The correct answer is D.

Solve each system by elimnination.
5c- 4t= 8
14 + 4t = 3c

Answers

The answer is c=11 and t=11.75 :)

Here’s the explanation of why and why it is correct

Which angle is congruent to ∠DFE?

An illustration shows two right angled triangle A B C and D E F; triangle A B C is larger than triangle D E F.

A.
∠ABC

B.
∠FDE

C.
∠FED

D.
∠ACB

Answers

The option D is correct. i.e., ∠ACB

In the given question is that

Which angle is congruent to ∠DFE

Answer is   ∠DFE ~  ∠ACB

Explanation: By using the illustration  shows two right angled triangle ABC and triangle DEF :

Now, If in triangles ABC and triangle DEF

Angle C = Angle F (Right angle)

CB = FE (leg)

AB = DE (hypotenuse)

then, triangle ABC is congruent to triangle DEF.

By SAS rule

Whole triangle ABC is congruent to triangle DEF. Then, we can say that

∠DFE ~  ∠ACB  

Hence, The option D is correct. i.e., ∠ACB

Learn more about Triangle Congruency at:

https://brainly.com/question/19258025

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If you're reproducing a 3 inch by 3 inch postcard on an 18 inch by 18 inch poster, what ratio do you use?

Answers

Answer:

1:6

Step-by-step explanation:

WILL GIVE BRAINLIEST IF CORRECT!!

How many different 7-digit positive integers exist? (Note that we don't allow "7-digit" integers that start with 0, such as 0123456; this is actually a 6-digit integer.)

Answers

[tex]\huge\boxed{\fcolorbox{red}{pink}{Answer}}[/tex]

[tex]\huge\pink{▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬}[/tex]

[tex] <marquee behaviour-move> <font color="blue"> <h1>9,000,000 seven</ ht> </marquee> [/tex]

[tex]\huge\pink{▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬}[/tex]

HELP ME ASAP ILL GIVE BRAINLIST

Answers

Answer:

A'B'=2AB

Step-by-step explanation:

Line A'B' is also dilated by the same scale factor of 2 and is therefore equal to 2*AB or 2AB

Please answer this correctly without making mistakes

Answers

Answer:

second coupon with 15% off

Step-by-step explanation:

366.99-50= 316.99(first coupon )

366.99×( 100%-15%)= 311.9415 (second coupon)

316.99>311.9415

so the second coupon is the one she should use

Multiply the fractions. Select the answer that is in simplest form
9x2 1/3

Answers

The product of the given fractions is 21.

The given expression is 9 × [tex]2 \frac{1}{3}[/tex]

What is the fraction?

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Now, the product of fraction can be solved by multiplying numerators and write the result in numerator and multiplying denominators and write the result in denominators.

That is, 9 × [tex]2 \frac{1}{3}[/tex] = 9 × [tex]\frac{7}{3}[/tex] = 21

Therefore, the product of the given fractions is 21.

To learn more about the product of two fraction visit:

https://brainly.com/question/7335118.

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PLEASE HELP ME!!!!!!!!!!

Answers

Answer:

-7/10

Step-by-step explanation:

To find the slope of a line, you need to find the [tex]\frac{rise}{run}[/tex] between two points. I will be using the points (-3, 5) and (7, -2).

[tex]\frac{rise}{run}[/tex] = [tex]\frac{-2-5}{7-(-3)}[/tex]

     = [tex]\frac{-7}{10}[/tex]

     = -7/10

Please help
Find the equation of the line above

Answers

Well, you’d first have to find the slope by doing the rise over run method or whichever one you prefer.

This can be done by doing: m=-13/9

B would still be: b=1

This would leave us with the equation of y= -13/9x+1

the quotient of two numbers is 4 and their difference is 39. What is the smaller number of the two?

Answers

Answer:

13

Step-by-step explanation:

x/y = 4

x=4y

x - y = 39

4y - y = 39

3y = 39

y= 13

Compare -8.9 and -9.3.


A.
-8.9 = -9.3

B.
-8.9 > -9.3

C.
-8.9 < -9.3

Answers

A number line will be helpful to compare the two of the given terms. The correct option is B, -8.9 > -9.3.

What is a number line?

A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. It’s not a ruler, so the space between each number doesn’t matter, but the numbers included on the line determine how it’s meant to be used.

The two of the given numbers can be compared as shown below.

-8.9 > -9.3

This is because on a number line, numbers on left are of less value than numbers on the right. And since -8.9 is close to 0, then -9.3.

Hence, the correct option is B, -8.9 > -9.3.

Learn more about the Number line here:

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What is the perimeter of the parallelogram?

Answers

Answer:

P= 2 (a+b)

Step-by-step explanation:

i need help asap what is 12g + 9g

Answers

Answer:

21 g

Step-by-step explanation:

you add 12g by 9g and you get 21g

Answer:21g

Step-by-step explanation: The answer is 21g

solve this fraction
2 3/4 - 5 1/8

Answers

2 3/4 - 5 1/8
simplified : 11/4 - 41/8
create a common denominator : 11/4x8 is 88/32 and 41/8x4 is 328/32
simplified : 88/32 - 328/32
simplified : 11/4 - 41/4 (divide both of the fractions by 8)
11/4 - 41/4 is -30/4
the answer is -30/4 or -7 2/4 or -7 1/2
Answer is -2 3/8

Step by step

To add or subtract fractions, the denominator (bottom) has to be the same, so you are working with the same fractional part of the whole.

- 5 1/8
2 6/8 (3/4 same as 6/8)
—————-

Change to improper fractions
- 5 1/8 = -41/8
2 6/8 = 22/8
————————-
subtract
-41/8
22/8
—————
-19/8

Simplify

-2 3/8


————-

- 2 3/8 is your answer


Problem solved


Use substitution to solve the system x=2y-5 and -2x+5y=11

Answers

Answer:

(-3, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations by substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

x = 2y - 5

-2x + 5y = 11

Step 2: Solve for y

Substitution

Substitute in x:                    -2(2y - 5) + 5y = 11Distribute -2:                       -4y + 10 + 5y = 11Combine like terms:           y + 10 = 11Isolate y:                              y = 1

Step 3: Solve for x

Define original equation:                    x = 2y - 5Substitute in y:                                     x = 2(1) - 5Multiply:                                                x = 2 - 5Subtract:                                               x = -3

The new pool cover is 35 feet long and 13 feet wide with the overhang.

What would be the area of the new solar pool cover for the swimming pool?

Square Feet

Answers

Answer:

455

Step-by-step explanation:

multiply the width by the length

convert y=1/2x-5 into integers

Answers

Answer:

Use the slope-intercept form to find the slope and y-intercept.

Tap for more steps...

Slope:  

1

2

y-intercept:  

5

Any line can be graphed using two points. Select two  

x

values, and plug them into the equation to find the corresponding  

y

values.

Tap for more steps...

x

y

0

5

2

6

Graph the line using the slope and the y-intercept, or the points.

Slope:  

1

2

y-intercept:  

5

x

y

0

5

2

6

image of graph

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