22. The first 5 terms of a number pattern are shown below.
4, 9, 14, 19, 24,
Which expression is equivalent to the value of the nth term in the pattern?
5n -1
57
n +5
5n +3

Answers

Answer 1
a) 5n- 1
the patterns going up in 5s and to get back to 4 you need to - 1
Answer 2

The expression is equivalent to the value of the nth term in the pattern is aₙ = 5n - 1. Then the correct option is A.

What is an arithmetic sequence?

Let a₁ be the first term and d be a common difference. Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

The first 5 terms of a number pattern are shown below.

4, 9, 14, 19, 24

The first term of the sequence is 4 and the common difference between the terms is given as,

d = 9 - 4

d = 5

The expression is equivalent to the value of the nth term in the pattern and will be

aₙ = 4 + (n - 1) x 5

aₙ = 4 + 5n - 5

aₙ = 5n - 1

The expression is equivalent to the value of the nth term in the pattern is aₙ = 5n - 1. Then the correct option is A.

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Related Questions

simplificar la expresion 3 ( - x - 2 ) me dicen cual es ? es para un examen

Answers

Answer:

-3x - 6

Step-by-step explanation:

3 × -x = -3x

3 × -2 = -6

-3x - 6 hope this helps

Answer:

Step-by-step explanation:

help me fast i will give brainlist

Answers

Answer:

c

Step-by-step explanation:

please mark brainliest

Answer:

option 3

Step-by-step explanation:

if 6 hours is $25.20 then 1 hour is $4.40.

To work this out, do 25.2 divided by 6

That means...

c = 4.20h

25.20 = 4.20 x 6

how to solve the median

Answers

Answer:

1.) Set the data set in the ascending order

2.) Start cancelling out numbers each side, like if u cancel out the first number, then cancel out the last as well.

3.) Keep doing the step 2 until u reach the middle most number.

4.) Sometimes there are 2 middle numbers left, in that case find their average (add both numbers together and divide the sum by 2) which would be ur middle most number.

Hope this helps!

Add all your numbers and then divided by the total amount of numbers say you have have to find the mean of 55 plus 45 plus 65 you add up 165 then divide by 3

Explain how an equation is like a balanced hanger plzzz answer due today

Answers

A hanger stays balanced when the weights on both sides are equal.

An equation can be compared to a balanced hanger. We can change the equation, but for a true equation to remain true, the same thing must be done to both sides of the equal sign.

I really need help on this! Thank you in advance!!!

On Sarah’s shelf are 6 mystery books, 5 sciences books, 4 history books, and 3 adventure books. Sarah will randomly choose one book to read. What is the probability that she will choose a mystery book?

Answers

Answer:

1/3 chance she will chose a Mystery Book.

Step-by-step explanation:

I hope This helps?

Total= 18

mystery=6

6/18= 1/3

Answer:

the answer is 1/3 or 6 out of 18

Can yall get me the volume calculations for the 3 shapes? Thank you! | Geometry

Answers

Figure 1

Name = Coneh = 4 unitsd = 8

Since the diameter is 8, this cuts in half to the radius of r = 4. Plug the given values into the cone volume formula below

V = (1/3)*pi*r^2*h

V = (1/3)*pi*(4)^2*4

V = (64/3)pi  ..... exact volume in terms of pi

V = (64/3)*3.14

V = 66.98667 .... approximate volume when using pi = 3.14

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

Figure 2

Name = cylinderh = 4d = 8  which cuts in half to r = 4

V = volume of cylinder

V = pi*r^2*h

V = pi*4^2*4

V = 64pi ..... exact volume

V = 64*3.14

V = 200.96 .... approximate volume when using pi = 3.14

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

Figure 3

Name = rectangular prismb = 32h* = 12h = 4

b and h* are dimensions along the bottom face, aka floor

h is the height or vertical dimension of the 3D room

V = volume of rectangular prism = volume of 3D room

V = length*width*height

V = (b)(h*)(h)

V = (32)(12)(4)

V = 1536 is the exact volume

There is no approximate volume for this figure because the result above is an integer.

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

Combining the figures

Adding up the volumes for figures 1 through 3 gets us

(64/3)pi + 64pi + 1536 = (256/3)pi + 1536

The exact total volume in terms of pi is (256/3)pi + 1536

If we used pi = 3.14, then it leads to

(256/3)pi + 1536 = (256/3)*3.14 + 1536 = 1803.94667

The approximate total volume of all three figures combined is roughly 1803.94667 cubic units

Type the expression that results from the following series
of steps:
Start with x and multiply by itself.

Answers

Answer: x^2 (the ^ represents that the next number is an exponent)

Step-by-step explanation:

Any number squared (to the power of 2) is just itself multiplied by itself. Remember, multiplication is repeated addition and exponents are repeated multiplication.

P- 24/n = 30/100

What’s N?

Z- n/4 = 18/72

What’s N?

Answers

Answer:

Z: n = 1 P: n =80

Step-by-step explanation:

cross multiple what you can and divide it by the last number left to find n

Which polynomial represents (3x2 + x - 4)(2x - 5)?

A.6x3 + 13x2 + 3x - 20

B.6x3 - 13x2 - 13x + 20

C.6x3 + 13x2 + 3x + 20

D6x3 - 13x2 - 13x - 20

Answers

D and I hope this helps

The required value of the given expression is 6x3 - 13x2 - 13x + 20. Option B is correct.

What is a polynomial function?

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the monomial, binomial and trinomial, etc. ax+b is a polynomial.

here,
= (3x² + x - 4)(2x - 5)
= [6x³-13x² - 13z + 20]

Thus, the required value of the given expression is 6x3 - 13x2 - 13x + 20. Option B is correct.

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help pls i can give brainliest?
Identify the solution to the system of equations.

Answers

It would be (2,2) because it’s the point where the two equations intersect.

50 POINTS

Show work for both questions.

Pleaseee don’t answer if you don’t know, I need this really soon.

Answers

Step-by-step explanation:

a)

[tex]\sin^{2}x + \cos^{2}x = 1[/tex]

Dividing both sides by sin^2x, we get

[tex]1 + \frac{\cos^{2}x }{ \sin^{2}x} = \frac{1}{\sin^{2}x } [/tex]

The 2nd term on the LHS is simply cot^2x and the RHS is simply csc^2x

[tex]1 + \cot^{2}x = \csc^{2}x[/tex]

b)

[tex]2 \sin x = 1[/tex]

[tex] \sin x = \frac{1}{2} [/tex]

[tex]x = \sin^{ - 1} (\frac{1}{2}) = \frac{\pi}{6} [/tex]

You can also graph it to arrive at the solution.

Did u get help

On you question?

a regular sheet of letter (printing) paper measrues 8.5 inches by 11 inches. you want to cut out squares from each corner that it may be folded up to produce an open - top box. What are the dimensions of the square cut outs that will result in a box of maximum volume

Answers

Answer:

The dimensions of the square, that will result in a box of maximum volume is a square with side length of approximately 1.585 inches

Step-by-step explanation:

The  given dimension of the steel sheet are;

The width = 8.5 inches

The length = 11 inches

Let 'x' represent the side length of the squares cut out, we have;

The length of the box formed, l = 11 - 2·x

The width of the box formed, w = 8.5 - 2·x

The height of the box, h = x

The volume of the box, V = (11 - 2·x) × (8.5 - 2·x) × (x) = 4·x³ - 39·x² + 93.5·x

The maximum or minimum volume is found from dV/dx = 0 at max. or min.

dV/dx = d(4·x³ - 39·x² + 93.5·x)/dx = 12·x² - 78·x + 93.5 = 0

Which gives;

x = (78 ± √((-78)² - 4×12×93.5))/(2 ×12)

x = 4.915 or 1.585

When x = 4.915, V = 4 × 4.915³ - 39 × 4.915² + 93.5 × 4.915 = -7.65

When x = 1.585, V = 4 × 1.585³ - 39 × 1.585² + 93.5 × 1.585 = 66.15

Therefore, the local maximum occurs at x ≈ 1.585

Therefore, the dimensions of the square, 'x' that will result in a box of maximum volume is x ≈ 1.585 inches.

if 5cosA =4 wat is CosA​

Answers

Answer:

4/5

Step-by-step explanation:

5cosA=4

divide both sides by 5

cosA=4/5

a jug contains 2 gallons of water how many quarts of water does the jug contain

Answers

Answer:

8 quarts, in 2 gallons

Step-by-step explanation:

joe rolls a six-sided number cube and flips a coin. What is the probability that he rolls an odd number and flips a head on the coin? Help ASAP please!

A. 1/6
B. 1/4
C. 1/2
D. 2/3
E. 3/2

Answers

of the odd number it would be 3/6 in other words 1/2 Step-by-step explanation:

Answer:

c.1/2

Step-by-step explanation:

Fine the volume of the rectangular prism. (Pls answer)

Answers

Answer:

4 3/4 yd

Step-by-step explanation:

A data set is Normally distributed with a mean of 25 and a standard deviation of 8. If you calculate the standard score of every observation in this data set, the resulting scores will have a distribution that has

Answers

Answer:

The answer is "A mean of 0 and a standard deviation of 1".

Step-by-step explanation:

The standard answer of its following formula is calculated by:

[tex]\to z=\frac{X-\mu}{\sigma}[/tex]

Its standard score relates to the sampling distribution with the normal distribution average standard variation of 0 and 1, correspondingly. The mean for a standard scoring is 0, and the normal deviation is 1. that's why the mean=0, standard deviation=1.

Write the equation of a line that goes through the points (4, 8) and (-8, 2)

show work i will appreciate it

Answers

first you have to find the slope by subtracting y2 in this case (2) from y1 (8) dividing it over the subtraction of x2 (-8) and x1 (4) then once you get that you pick a point whether it’s (4,8) or (-8,2), plot it using the slope given to you and you’re done.

Is 0.35 grater than 300 mL

Answers

Answer:

yes

Step-by-step explanation:

yes

Complete the missing parts of the table for the following function. y=7x​

Answers

Answers:   49,   1,   49

Those values go in the blanks from left to right

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

Explanation:

The rule we use is x^(-k) = 1/(x^k)

That means if we're evaluating something like 7^(-1), then it's the same as 1/(7^1) = 1/7 which explains how x = -1 leads to y = 1/7.

Similarly, 7^(-2) = 1/(7^2) = 1/49 is the y value when x = -2. So you'll type 49 into the first box to fill in that missing denominator.

Raising any nonzero value to the zeroth power leads to 1. That rule is x^0 = 1 where x can be anything you want but it can't be zero. Therefore 7^0 = 1 goes in the second box.

Lastly, 7^2 = 7*7 = 49 will go in the third box.

5.) James is 4 feet 7 inches tall? How tall is James in inches? A 55 inches B. 54 inches C. 47 inches D. 11 inches ?​

Answers

Answer:

55 inches

Step-by-step explanation:

4 feet x 12 inches per foot = 48 inches + 7 inches = 55 inches

Sam saves $500 at a rate of 4%. What is the total amount of money she has after 20 years?

Answers

Answer:

$10,400

Step-by-step explanation:

What are the coordinates of vertex ?

Answers

Answer:

(0, -8)

Step-by-step explanation:

HEEEEEEEEELP!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Look at the image.

Step-by-step explanation:

(36 ÷ 4) - (36 ÷ 9)

9 - 4

5

(8 × 3) - 12 = 12

24 - 12

12

is a greater than, less than or equal to 43°?
43
Choose 1 answer:
A
> 43°
B
< 43°
2 = 43

Answers

Answer:

C ( x = 43 )

PLEASE MARK BRAINLIEST!

7m²(4-3m²)
this one is algebra question and multiply so plzz plzz replyy ​

Answers

Answer:

ok so the answer is 28² - 21 to the power of 4

Step-by-step explanation:

Simplify this expression. Assume that x is nonzero.
x^−11•x^2

Answers

i think the answer is 1/x^9

Answer:

x^-11•x^2

using the law of indices...

x^(-11+2)

x^-9

Simplify 4^3(3^2+11)(7^4-7^4)(10^10) show work

Answers

put that in photo math

if a, b, c, and d represent positive real numbers, what is the inequality when solved for x?

Answers

The inequality equation is x ≥ ( by - c - d ) / a

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

by - d ≤ ax + c    be equation (1)

On simplifying the equation , we get

Subtracting c on both sides of the equation , we get

by - d - c ≤ ax

And , ax ≥ by - d - c

Divide by a on both sides of the equation , we get

x ≥ ( by - c - d ) / 2

Hence , the inequality is x ≥ ( by - c - d ) / a

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Pls help meh!!!!
Which regression line properly describes the data relationship in the scatterplot?

Answers

Answer:

1

Step-by-step explanation:

depends if you have a table , to pick the right one always choose a one that pass more through and between the points and the one that is straight

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