Need help due tmr please and thank you :)

Given the sequence 7, 12, 17, 22, ...

abruzzese [7]

Answer:

option D is true.

Step-by-step explanation:

Given the sequence

7, 12, 17, 22, ...

An arithmetic sequence has a constant difference 'd' and is defined by

$a_n=a_1+\left(n-1\right)d$

Computing the differences of all the adjacent terms

$12-7=5,\:\quad \:17-12=5,\:\quad \:22-17=5$

The difference between all the adjacent terms is the same

so

$d=5$

as

$a_1=7$

Thus, the nth term of the arithmetic sequence will be:

$a_n=5\left(n-1\right)+7$

$a_n=5n+2$

Therefore, option D is true.

7 0

3 years ago

find the area of this figure. round your answer to the nearest hundredth.use 3.14 to approximate pi.

lord [1]

The area of the geometry is the sum of the area of the triangle and the semicircle will be 49.12 square feet.

<h3>What is Geometry?</h3>

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The geometry is the combination of the semicircle and right triangle.

Then the area of the geometry will be

Area = 1/2 x 6 x 8 + π/8 x 8²

Area = 4 x 6 + 3.14 x 8

Area = 24 + 25.12

Area = 49.12 square feet

More about the geometry link is given below.

brainly.com/question/7558603

#SPJ1

5 0

2 years ago

The number 64 has the property that it is divisible by its units digit. How many whole numbers between 10 and 50 have this prope

sineoko [7]

Answer:

$\large \boxed{17}$

Step-by-step explanation:

Let's call the numbers "tu", where t is the tens digit and u is the units digit.

We can solve this by the "brute force" method — examining each number to see if it satisfies the conditions.

$\begin{array}{cccl}\mathbf{u}&\mathbf{tu}& \textbf{Divisible by u} & \\0 &20, 30, 40 & 0 & \text{Division by zero is impossible}\\1 & 11, 21, 31, 41 & 4& \text{All numbers are divisible by one}\\2 & 12, 22, 32, 42 & 4 & \text{All even numbers are divisible by two}\\3 & 13, 23, 33, 43 & 1 &\text{Only 33 is divisible by three}\\4 & 14, 24, 34, 44 & 2 & \text{Only 24 and 44 are divisible by four}\\5 & 15, 25, 35, 45 & 4 & \text{Numbers ending in 5 are divisible by five}\\\end{array}$

$\begin{array}{cccl}6 & 16, 26, 36, 46 & 1 & \text{Only 36 is divisible by six}\\7 & 17, 27, 37, 47 & 0 & \text{None of the numbers is divisible by seven}\\8 & 18, 28, 38, 48 & 1 & \text{Only 48 is divisible by eight}\\9 & 19, 29, 39, 49 & 0 & \text{None of the numbers is divisible by nine}\\& \textbf{TOTAL =} &\mathbf{17}& \\\end{array}\\\text{$\large \boxed{\mathbf{17}}$ numbers between 10 and 50 are divisible by their units digit}$

5 0

3 years ago

Toms son works in a sports store.Toms son earns a commision. He makes 2.5% of the amount he sells. Last week he sold $900 worth

siniylev [52]

Answer:

22.5

Step-by-step explanation:

2.5/100= 0.0250

0.025 x 900 = 22.5

5 0

3 years ago

Select the two points that the line would go through. Practice on a piece of paper in front of you.

Mama L [17]

Answer:

(1,-3), (2,-2)

Step-by-step explanation:

The graph passes through (3, -1) and (0, -4)

The slope is:

(-4 - (-1))/-3 = -3/-3 = 1

The y-intercept is given: -4

The line is:

y = x - 4

See the graph

The points plotted as well and those on the line are:

(1,-3)
(2,-2)

5 0

2 years ago