Write a recursive formula and an explicit formula for the following arithmetic sequence.
5, 3, 1, -1, ...
A recursive formula is a1 = , an = |
(Simplify your answers. Use integers or decimals for any numbers in the expressions.)
An explicit formula is an =
(Simplify your answer. Use integers or decimals for any numbers in the expression.)

Answer:

< ABC+<QRS=180

m<QRS=180-140=40°

Answer:

Solution given:

<ABC+<QRS=180° {supplementary]

m<QRS=180°-140°=40° is your answer

Answer:

Step-by-step explanation:

How much would the mortgage payment be on a $500K house? Assuming you have a 20% down payment ($100,000), your total mortgage on a $500,000 home would be $400,000. For a 30-year fixed mortgage with a 3.5% interest rate, you would be looking at a $1,796 monthly payment.

Answer:

Radius and diameter are not part of a pyramid

Answer:

x>-2

Step-by-step explanation:

-8x+32-16<0

-8x<16

divide both sides by -8

x>-2

that's because when you divide by a negative your inequality sign changes

Answer:

4/3

Step-by-step explanation:

Answer:

Corresponding side of AB is FE

Corresponding side of CB is DE

Corresponding side of AC is FD

[tex]k =2[/tex]

[tex]DE = 6[/tex]

[tex]FD=10[/tex]

Step-by-step explanation:

Given

[tex]\triangle ABC[/tex] and [tex]\triangle FED[/tex]

See attachment for triangles

Solving (a): Corresponding side of AB

Going by the names of the triangle, the corresponding sides are:

AB and FE; CB and DE; AC and FD

Hence, the corresponding side of AB is FE

Solving (b): Corresponding side of CB

This has been solved in (a) above.

The corresponding side of CB is DE

Solving (c): Corresponding side of AC

This has been solved in (a) above.

The corresponding side of AC is FD

Solving (d): Scale factor from ABC to FED

To do this, we simply divide the lengths of corresponding sides.

The scale factor k is:

[tex]k = \frac{FE}{AB}[/tex]

[tex]k = \frac{8}{4}[/tex]

[tex]k =2[/tex]

Solving (e): Length of DE

We make use of the scale factor calculated in (d) above

[tex]k = \frac{DE}{CB}[/tex]

[tex]2 = \frac{DE}{3}[/tex]

[tex]DE = 2 * 3\\[/tex]

[tex]DE = 6[/tex]

Solving (f): Length of FD

Using Pythagoras:

[tex]FD^2 = DE^2 + EF^2[/tex]

[tex]FD^2 = 6^2 + 8^2[/tex]

[tex]FD^2 = 100[/tex]

[tex]FD = \sqrt{100[/tex]

[tex]FD=10[/tex]

Answer:

never heard of that word lol

Step-by-step explanation:

Answer:

X is equal to or greater than 7

Step-by-step explanation:

Since lx-7l is equal to x-7, this means that it can only work on places where the lines are on top of each other. In terms of x, this means that x must be at least 7. As you can see in the number line also attached.

Answer:

i got 20 weeks. i divided 180 by 9 and i got 20. i'm not sure if it's what you're looking for, but i hope it helps.

Step-by-step explanation:

f(x) = |7m + 4| = 1

First equation by taking positive modules

7m + 4 = 1

7m = -3

m = -3/7 . Ans.

Second equation by taking negative modules

-7m - 4 = 1

-7m = 5

m = -5/7 . Ans.

∴ m = [ -5/7 U -3/7 ] Ans .

Answer:

8

Step-by-step explanation:

Answer:

what

Step-by-step explanation:

ok first of all roll what. If its a coin you will expect to win 20 times . if its a dice than it will be around 6.67 times.

Answer:

The number of required shelves is 5

You have to find the HCF of 45, 105, and 75.

By definition of conditional probability,

P(A | B) = P(A and B) / P(B)

so

P(A and B) = P(A | B) P(B) = 0.5 × 0.58 = 0.29

Answer:

C is the answer

Step-by-step explanation:

All you have to do is plug 12 in for x and 4 in for y

3(12) + 5(4) = solve

36 + 20 = 56

Hope that helps

Answer:

its A. 5

Step-by-step explanation:

5/10 is also known as 1/2 so 5/10 is equal to 1/2

Answer:

A is acute and B is obtuse.

Step-by-step explanation:

This is because any angle less then 90 is acute and any angle over 90 degreee is obtuse.

Answer:

True

Step-by-step explanation:

Answer:

46.288 megabytes

Step-by-step explanation:

megabytes that have been downloaded

= 17.6% of 263

[tex] = 0.176 \times 263 \\ = 46.288[/tex]

Answer:

The answer is C, x = 7.

Step-by-step explanation:

3x + 7 = 28

-7. -7

3x = 21

/3. /3

x = 7

Answer:

91090.1891892

Step-by-step explanation:

rounded it would be 91090

Answer:

Right triangle

Step-by-step explanation:

Answer:

Right triangle

Step-by-step explanation:

To find the third angle, we add the two known angles.

47 + 43 = 90

The sum of all the angles of a triangle is always 180.

Therefore, we subtract 90 from 180 to find the third, unknown angle.

180 - 90 = 90

Because 90 degrees is the third angle, and 90 degrees is a right angle, this is a right triangle.

Answer:

The flow rate will be say around 10000 liters per hour. Or 180 liters per minute.

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

a positive times a negative is a negative number

and 2 x 5 is 10

so it`s -10

Answer:

The answer is 7 miles

Step-by-step explanation:

2/3 × 21 = 14

21-14 = 7

Answer:

Clockwise rotation

Step-by-step explanation:

Took the test, the other answer here was incorrect

9514 1404 393

Answer:

  wherever you want it to

Step-by-step explanation:

The cosine function is defined for all real numbers. A graph of it can exist on any interval from -∞ to +∞. Since you make the graph, and it is impossible for you to graph x = -∞, the left side of the graph (where it "begins") will be the point you decide to use to start graphing.

Answer:

1. Supplementary angles

2.  alternate exterior

3. verticle angles

4. alternate interior

The box matches the numbers. 1 is the answer in the first box, and so on.

Let me know if you have any questions