Find the 63rd term of the arithmetic sequence 17, 26, 35

Answers

Answer 1

Answer:

a₆₃ = 575

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 17 and d = a₂ - a₁ = 26 - 17 = 9 , then

a₆₃ = 17 + (62 × 9) = 17 + 558 = 575


Related Questions

If 3x is one factor of 3x2 – 9x, what is the other factor?
A.)3x
B.)x^2-6x
C.)x-3
Д.)x+3

Answers

Step-by-step explanation:

3x²-9x3x(x-3)

So another factor is option C.)

So another factor is option C.)(x-3)


You are going to have a birthday party and serve pizza. You plan to order pepperoni pizza
that costs $8 each and sausage pizza that costs $6 each. You need 100 pizzas and have
$740 to spend, how many of each type of pizza can you buy?

Answers

Answer:

70 pepperoni 30 sausage

Step-by-step explanation:

30 times 6 is 180

70 times 8 is 560

180 plus 560 is 740

how to solve for x (proportions)

Answers

Answer:

16/3 or 5 1/3

Step-by-step explanation:

Cross Multiply

4×4

3×x

16=3x

Divide 3 from 16

x=16/3 or 5 1/3

the pentagons ABCDE and JKLMN are similar find the length x of JK

Answers

the second shape is double the first so you would do AB = 2 and then times by 2 as its double and you will get 4
answer = 4

Answer:

x = 4

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{JK}{AB}[/tex] = [tex]\frac{KL}{BC}[/tex] , substitute values

[tex]\frac{x}{2}[/tex] = [tex]\frac{8}{4}[/tex] = 2 ( multiply both sides by 2 to clear the fraction )

x = 4

-3/1x+1=10
Somebody answer please

Answers

Answer:

Step-by-step explanation:

3

+

1

1

=

1

0

1

3

=

9

3

3

=

9

3

=

3   answer

P/s: I don’t understand the question so I do it in two ways

HELP ME PLEASE!
Find the value of the discriminant for the quadratic equation. Then, describe the number and type of roots for the equation.
25x^2 -20x + 4 = 0

Answers

Answer:

real and equal roots

Step-by-step explanation:

because at end of calculation,0=0

solve one step equation


-9x = 45

Answers

Answer:

x=-5

Step-by-step explanation:

45÷-9=-5

The supermarket has 40 aisles. 5% are empty, without any shoppers. How many empty aisles are there in the supermarket?

Answers

didn't know how to workout iam only 3rd standard

You want to determine which cellphone provider would give you the best service. is it Experimental vs. Observational

Answers

It is Observational because you aren’t doing a specific experiment

=
If f(x) = 3x – 2 and g(x) = x+2,
find f(g(x)).
3
f(g(x)) = [?]
Simplify your answer as much as possible.

Answers

Answer:

3x+4

Step-by-step explanation:

f(g(x))=3(x+2)-2

=3x+6-2

=3x+4

Answer:

Step-by-step explanation:

f(x) = 3x - 2   When you see something like f(g(x)) it means that wherever you see an x on the right, you put g(x).

f(g(x)) = 3(g(x)) - 2               Now wherever you see g(x) on the right, you put in x + 2

f(g(x)) = 3(x + 2) - 2            Now remove the brackets

f(g(x)) = 3x + 6 - 2

f(g(x)) = 3x + 4

I'm not sure what the 3 in line 4 means. 3x + 4 seems to be the answer you want however.

Write an equation in slope intercept for a line that passes through (2,2)

Answers

Answer:

any line can pass through the point (2,2) so there needs to be a second point

Step-by-step explanation:

What -3/4 equals 2/3

Answers

Answer:

17/12= 1 5/12

Step-by-step explanation:

make the denominator the same as 12

_______  -9/12 =8/12

so add 8+9 to get 17.then keep the denominator as 12. last simpfie it to 1 5/12

ben drives 1/4 mile in 2/3 hours. what is the rate at which he drives

Answers

Answer:

3/8 or 0.375mph.

Step-by-step explanation:

All you have to do for this is divide one fourth by two thirds. This way, you get the units to work out as well.

[tex]\frac{1}{4}/\frac{2}{3}=\frac{1}{4}*\frac{3}{2}=\frac{3}8=0.375mph[/tex]

a train goes 25 kilometers in 45 minutes, how fast would it go in 27 minutes?

Answers

Answer:

15km

Step-by-step explanation:

45mins = 25km

1 min =25/45

=5/9

27mins=5/9×27

=15km

a) work out the size of angle x.

b) give reasons for your answer.

Answers

Answer:

x = 75°

Step-by-step explanation:

180° - 105° = 75°

75° = 75°

Line CG is 180°. The angle of 105° is on this line, and we know that ∠F + 105° = 180° so we can subtract 105° from 180° to find ∠F. Next, ∠F and ∠x are corresponding angles, so they will be equal.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Calculator
What is the value of a?

Answers

Answer:

15

Step-by-step explanation:

20^2 + x^2 = 25^2

= 400 + x^2 = 625

= x^2 = 225

= x = 15

Answer:

15

Step-by-step explanation:

20^2 + x^2 = 25^2

= 400 + x^2 = 625

= x^2 = 225

= x = 15

You know what to do

An ice cream shop sells ice cream cones, c, and
milkshakes, m. Each ice cream cone costs $1.50
and each milkshake costs $2.00. Donna has $19.00
to spend on ice cream cones and milkshakes. If she
must buy 5 ice cream cones, which inequality could
be used to determine the maximum number of
milkshakes she can buy?

Answers

Answer:

$7.50+m > $19

The inequality to be used for determining the maximum number of milkshakes she can buy will be in the form of:

[tex]\$7.50+\$2.00\rm{m}\leq \$19.00[/tex]

  The inequality in the position or the relationship between two variables in order to make the total either greater than, less than, or greater than equal to, or less than equal to the total amount.  

The inequality can be between numbers or algebraic expressions.  

In the given case,

Per unit cost of ice cream cone $1.50 Per unit cost of milkshakes $2.00 The total amount for spending is $19.00 Number of ice cream cones bought 5  

To determine the inequality for the number of milkshakes the inequality will be formed as follows:  

The total cost of ice cream cones will be added with the total cost of milkshakes (where m is the number of milkshakes) and the sign used will be greater than or equal to the given amount to be spent.  

Therefore, the inequality will be  [tex]\$7.50+\$2.00\rm{m}\leq \$19.00[/tex]

  To know more about inequality, refer to the link:

https://brainly.com/question/11897796    

(-4+2)•(-5+3)/-3 please help

Answers

Answer:

-4/3

Step-by-step explanation:

(-4 + 2) • (-5 + 3)/-3

=> -2 • (-2)/-3

=> -2 • 2/3

=> -4/3

Therefore, -4/3 is your answer.

Hoped this helped.

Answer:

The answer is -4/3.

Step-by-step explanation:

(-4+2) = -2

x (-5+3) = -2

-2 x -2 = 4.

=-4/3

Please help me asapppp

ty :)

Answers

Answer:

x-intercept: -3 y-intercept: 3

Step-by-step explanation:

Substitute 0 for both variables.

-(0)=3

(0)=3

Answer:

x intercept: [tex](-3,0)[/tex] y-intecept: [tex](0,3)[/tex]

Step-by-step explanation:

So their is two ways to do this.  

OPTION 1:

Turn the standern form into slope intercept.

[tex]-x+y=3[/tex]

[tex]y=3+x[/tex]

When [tex]y=0, x=-3[/tex]

Therefore, the y-intercept is 3, and the x-intercept is -3

OPTION 2:

Graph the eqaution, and see where it intercepts

Using desmos, you can graph the equation, then see where it intercepts

It intercepts the x-axis at -3, and the y-axis at 3

the quotient of x and 10 equals 30

Answers

Answer:

x=3

Step-by-step explanation:

I'm assuming that's what you're asking.

x*10=30=>x=30/10=3

The numbers 5 and -5 are opposites.explain why 5 and -5 have the same absolute value

Answers

Answer:

I think because the absolute value is always a positive number.

Step-by-step explanation:

There are 93 calories in 3 cups of popcorn. How many calories are in 4.5 cups of popcorn?

Answers

Answer: I think its 106 calories

Step-by-step explanation:

sorry if im wrong

the answer i got was 139.5

Can someone please help me with this easy math problem?

Answers

B) 253.7
Hope this helps!

What is the cube root of b^27?

Answers

Answer:

3 I believe im not 100% sure tho sorry if its wrong

༒Question༒
Refer to attachment

nonsense answer will get report​

Answers

Answer:

Bro if you need help then tell me in comments section

On a coordinate plane, triangle A B C is shown. Point A is at (negative 1, 1), point B is at (3, 2), and points C is at (negative 1, negative 1) If line segment BC is considered the base of triangle ABC, what is the corresponding height of the triangle? 0. 625 units 0. 8 units 1. 25 units 1. 6 units.

Answers

The corresponding height of the triangle is 1.6 units

The formula for calculating the area of a triangle is expressed as:

[tex]A=\frac{1}{2} bh[/tex]

b is the base of the triangleh is the height of the triangle

Given the coordinates of the base BC of the triangle given as B(3, 2), and C(-1,-1). Using the distance formula:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\BC= \sqrt{(-1-2)^2+(-1-3)^2}\\BC=\sqrt{3^2+4^2}\\BC=\sqrt{25}\\BC=5units[/tex]

The area of the triangle passing through the coordinate points A(-1, 1), B(3,2), and C(-1, -1) is expressed as:

[tex]A=\frac{1}{2}[x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)]\\[/tex]

Substituting the coordinate points:

[tex]A=\frac{1}{2}[(-1)(2-(-1))+3(-1-1)+-1(1-2)]\\A=\frac{1}{2}[(-1)(3)+3(-2)+-1(-1)]\\A=\frac{1}{2}[-3-6+1]\\A=\frac{1}{2} (-8)\\|A| =4 units^2[/tex]

Recall that:

[tex]A = 0.5bh\\h=\frac{A}{0.5b}\\h=\frac{4}{0.5(5)}\\h=\frac{4}{2.5}\\h= 1.6 units[/tex]

Hence the corresponding height of the triangle is 1.6 units

Learn more on area of triangles here: https://brainly.com/question/17335144

Given the graph below, find the slope.

A. -3/2
B.3/2
C -2/3
D. 2/3

Answers

The answer is or the slope is D 2/3

Justin's pays is represented by this line graph.


How much is Justin paid for one hour of work?

Answers

Answer:

He is been paid $7 per hour

Step-by-step explanation:

140dollars/ 20 hours

140/7 hourssssssszss

An item is regularly priced at $70. It is on sale for 20% off the regular price. How much (in dollars) is discounted from the regular price?
Amount discounted:?

Answers

Answer:

$14 discount$56 discounted price

Step-by-step explanation:

The amount of the discount is ...

  20% of $70 = 0.20·$70 = $14 . . . discount

The discounted amount is ...

  $70 -14 = $56 . . . discounted price

I need help with solving this with synthetic division

Answers

Answer:

Synthetic division is another way to divide a polynomial by the binomial x - c , where c is a constant.

Step-by-step explanation:

Set up the synthetic division.

Bring down the leading coefficient to the bottom row.

Multiply c by the value just written on the bottom row.

Add the column created in step 3.

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