Please help with this easy 5th-grade question.

Answer:

The recursive formula for this arithmetic sequence would be [tex]a_{1} = 37[/tex], [tex]a_{i} = a_{i-1} + 30[/tex].

Step-by-step explanation:

A recursive formula is a formula that defines each term of a sequence using the preceding term(s). Recursive formulas must always state the initial term, or terms, of the sequence, as well as an equation defining [tex]a_{i}[/tex] in terms of preceding terms. Since the first term of this sequence is 37, that means [tex]a_{1} = 37[/tex]. The pattern in this arithmetic sequence between each term in ascending order would be 30 more than the previous term, so you can create the function [tex]a_{i} = a_{i-1} + 30[/tex]. So the recursive formula for this arithmetic sequence would be [tex]a_{1} = 37[/tex] and [tex]a_{i} = a_{i-1} + 30[/tex].

Answer:

g(-4) = 3

Step-by-step explanation:

g(x) = -x - 1

g(-4) = -(-4) - 1

g(-4) = 4 - 1

g(-4) = 3

Answer: 3

Step-by-step explanation:

g(-4)=-(-4)-1

g(-4)=4-1

g(-4)=3

Answer:

The sum of complementary angles is 90 degrees.

Step-by-step explanation:

Answer:

4x+50=90

4x=40

x=10

Step-by-step explanation:

good luck

Answer: 6472

Step-by-step explanation:

You have to multiply and add

Answer:

A

Step-by-step explanation:

Answer: 500

Step-by-step explanation:

Given

The radius of the wheel is [tex]r=35\ cm\ or\ 0.35\ m[/tex]

Distance covered by wheel [tex]d=1100\ m[/tex]

Distance covered in one revolution is equal to the circumference of the wheel

Circumference of the wheel is [tex]2\pi r[/tex]

Insert the values

[tex]\Rightarrow 2\pi \times 0.35\\\Rightarrow 2.2\ m[/tex]

No of revolution is given by

[tex]\Rightarrow \dfrac{1100}{2.2}=500[/tex]

Thus, 500 revolutions is required.

Answer:

1 1/5 in fraction form :))

Answer:

I think the first one is 5200 and the second one is 3

Answer:

I believe it is C

Step-by-step explanation:

Sorry if I got it wrong but hopefully you got it right

Answer:

1: True, 2: False

Step-by-step explanation:

With the first one, probability by defintion is the odds of if an event will happen or not, so it is true.

With the second one, it is false as if something is for sure going to happen, it will have a 100% or "1" chance of occurring. If it has a 1% chance of occuring, it would be 0.01.

Answer:

B

Step-by-step explanation:

Area = length times width, in this case, both length and width is x.

While 5 and 2 are the lengths and widths for the unshaded part.

x^2 = whole square

x^2 - (5)(2) = area of shaded region

Answer:

c i believe

Step-by-step explanation:

brainliest?

Answer:

The answer is C

Step-by-step explanation:

The line is pointing towards the right and the mark on -3 is shaded in.

Answer:

(-4 - 2)

Step-by-step explanation:

-8 (1/2 + 1/4) = -6/1  = -6

-4 - 2 = -6

Answer:

I think the answer would be D. 20 hope it helps

Step-by-step explanation:

Answer:

Whats the question and if its adding the answer is 790.12

Step-by-step explanation:

Also, if you could answer my question that'dd be great!

Answer:

(7,-2)

Step-by-step explanation:

G is currently at (2, 0)

(2+5, 0-2) becomes (7, -2)

Answer:

y= 5x + 100

Step-by-step explanation:

Hope this helps out! :)

Answer:

he bought 12 pencils

Step-by-step explanation:

20 - 5.12 = 14.88

14.88 / 1.24 = 12

Answer:

[tex]he \: give \: 20 \: to \: cashier \: and \: recieve \: 5.12 \\ so \: 20 - 5.12 = 14.88 \\ 1.24per \: pencil \: h e \: buy \: x \: penil \: then \\ x \times 1.24 = 14.88 \\ x = \frac{14.88}{1.24} = 12 \\ 12 \: number \: of \: pencil \: \\ thank \: you[/tex]

Answer:

A (8.1 x 10^10)

Step-by-step explanation:

1. 1 billion is 1,000,000,000 or 10^9

2. 81 Billion should be 81 x 10^9, but the correct notation should always show a single digit number, so you need to also divide 81 per 10

3. Thus, the answer is 8.1 x 10^10

Answer:

8.1 × 10^10

:)

Answer:

x=0 or x=-3/2

Step-by-step explanation:

Answer:

x = 4 units

Step-by-step explanation:

By geometric mean theorem:

Length of perpendicular

[tex] =\sqrt{2\times 6}[/tex]

[tex] =\sqrt{12}[/tex]

Next, by Pythagoras theorem:

[tex] x^2 = 2^2 + (\sqrt {12})^2 [/tex]

[tex] \therefore x^2 = 4 + 12 [/tex]

[tex] \therefore x^2 = 16 [/tex]

[tex] \therefore x =\sqrt{ 16 }[/tex]

[tex] \therefore x =4\: units[/tex]

Step-by-step explanation:

a.) you have to substitute f(5) into the formula

f(x) = 3x^2 + 5

you do this by inserting five into your x :

f(x) = 3x^2 + 5

f(5) = 3(5^2) + 5

= 3(25) + 5

= 75 + 5

f(5) = 80

b.) to solve for g(5) ,, you do the exact same but with the formulae g(x) = 11x - 10

g(x) = 11x - 10

g(5) = 11(5) - 10

= 55 - 10

g(5) = 45

. we can see that f(5) is the greater quantity ,, furthermore it is greater by 35 . =

f(5) = 80 g(5) = 45

80 - 45

= 35

Answer:

16 2/25

Step-by-step explanation:

1608 / 10^2

1608/100

16 8/100

16 4/50

16 2/25

Answer:

1.608

Step-by-step explanation:

1608 ÷ 1000 = 1.608

Answer:

1,809.98 lb*m/s^2

Step-by-step explanation:

First, we want to know how much weight of the boulder is projected along the path in which the boulder can move.

The weight of the boulder is:

W = 322lb*9.8 m/s^2 = (3,155.6 lb*m/s^2)

This weight has a direction that is vertical, pointing downwards.

Now, we know that the angle of the hill is 35°

The angle that makes the direction of the weight and this angle, is:

(90° - 35°)

(A rough sketch of this situation can be seen in the image below)

Then we need to project the weight over this direction, and that will be given by:

P = W*cos(90° - 35°) = (3,155.6 lb*m/s^2)*cos(55°) = 1,809.98 lb*m/s^2

This is the force that Samuel needs to exert on the boulder if he wants the boulder to not roll down.