Please help me find the volume :3

Given:

[tex]a_1=-4[/tex] and [tex]a_n=a_{n-1}+9[/tex] where [tex]n\geq 2[/tex].

To find:

The explicit formula for the given recursive formula.

Solution:

We know that recursive formula of an AP is:

[tex]a_n=a_{n-1}+d[/tex]

Where, d is the common difference.

We have,

[tex]a_n=a_{n-1}+9[/tex]

Here, d=9.

The first term of the AP is [tex]a_1=-4[/tex].

The explicit formula for an AP is:

[tex]a_n=a_1+(n-1)d[/tex]

Substituting [tex]a_1=-4[/tex] and [tex]d=9[/tex], we get

[tex]a_n=-4+(n-1)9[/tex]

[tex]a_n=-4+9n-9[/tex]

[tex]a_n=-13+9n[/tex]

Therefore, the required explicit formula for the given sequence is [tex]a_n=-13+9n[/tex].

X < 10

Step-by-step explanation:

Answer:

2. 10 + 5 x 2                    $20

3. 10 + 5 x 3                    $25

4. 10 + 5 x 4                    $30

Hope that helps!

Step-by-step explanation:

Answer:

2) 10+5x2= 20

3) 10+5x3= 25

4) 10+5x4= 30

Step-by-step explanation:

just add 5 every time

Answer:

line the numbers up least to greatest and the median is the middle number in this case it is

Step-by-step explanation:

70, 75, 79, 10, 85, 88, 95, 100, 100

85 is your answer

Answer:

a) Mark's best score on the game is 75 points.

b) Virginia's best score is 15 points.

Step-by-step explanation:

Jodi's best score on a video game is 50 points.

a) Mark's best score on the game is 1.5 times as much as Jodi's best score. How many points did Mark score on the video game?

Mark's best score on the game is calculated as:

1.5 times as much as Jodi.

Jodi's best score = 50 points

= 1.5 × 50 points

= 75 points

b) Virginia's best score is only 0.3 times Jodi's best score. How many points did Virginia score on the game? Virginia's best score is points.

Virginia's best score on the game is calculated as:

0.3 times as much as Jodi.

Jodi's best score = 50 points

= 0.3 × 50 points

= 15 points

Virginia's best score is 15 points.

Answer:

1.54

Step-by-step explanation:

The absolute value function always gives a positive result, that is

| - a | = | a | = a , then

| - 1.54 | = 1.54

Answer:

35x^2y^2

Step-by-step explanation:

just multiply and combine like terms

Answer:

(-7-2)....................hope this helps

Answer:

x= 25°

Step-by-step explanation:

3x-10 = 25 + x + 15 (ext ∠ of triangle equals to the sum of interior opposite ∠'s)

3x - x = 40 +10

2x= 50

x= 50/2

x= 25°

Answer:

y=x+4

Step-by-step explanation:

...

Answer:

0.188 inches

Step-by-step explanation:

Given that,

There are 5 inches of water in a bucket after 212 hours of a rainstorm

We need to find how much water will there be in the bucket after 8 hours if the rain continues at the same rate.

5 inches = 212 hours

1 hour = (5/212) inches

For 8 hours,

[tex](\dfrac{5}{212})\times 8\\\\=0.188\ \text{inhces}[/tex]

Hence, there will be 0.188 inches of water after 8 hours.

Answer:

The area of the regular nonagon is 7921.8 square inches.

Step-by-step explanation:

Geometrically speaking, the area of a regular polygon is determined by following area formula:

[tex]A = \frac{p\cdot a}{2}[/tex] (1)

Where:

[tex]A[/tex] - Area of the regular polygon, in square inches.

[tex]p[/tex] - Perimeter, in inches.

[tex]a[/tex] - Apothem, in inches.

If we know that [tex]p = 162\,in[/tex] and [tex]a = 97.8\,in[/tex], then the area of the regular nonagon is:

[tex]A = 7921.8\,in^{2}[/tex]

The area of the regular nonagon is 7921.8 square inches.

Answer:

is B

Step-by-step explanation:

trust me dawg

Answer:

he can make 6 hats

Step-by-step explanation:

Answer:

12.....

Step-by-step explanation:

yeah that one

1) To get the present value, we need to get the amount after 5.5years

Amount = Principal + Interest

Interest = PRT/100

Interest = $19,513.75*3*5.5/100

Interest = 321,976.875/100

Interest =  $3219.76875

Amount = $19,513.75+$3219.76875

Amount = 22,733.51875

Hence the present value is $22,733.51875

2) Simple Interest = PRT/100

Simple Interest = 5000*(4 3/4)* 18/12*100

Simple interest = 5 * 19 * 18/4*12

Simple interest = 1710/48

Simple interest =35.625

Amount = 5000 + 35.625

Amount = $5035.625

Hence the present value is $5035.625

Answer:

Adjacent Supplementary

Step-by-step explanation:

Vertical angles are across from each other, so you can cross out any answers with vertical.

Complementary angles add up to 90, so you can cross out the answers with complementary.

Answer:

A) Not statistical /this question is answered by counting the number of days in March. This produces a single number. This number is not answered by collecting data that vary.

B) Not Statistical/ this question is answered by a single number. It is not answered by collecting data that vary.

C) Statistical/ this question would be answered by all collecting data, and there would be variability in that data.

D) statistical/ this question would be answered by collecting data, and there would be variability in that data

E) Not Statistical/ this question is answered by a single response. It is not answered by collecting data that vary.

F) not statistical/ this question would be answered by counting the bricks. This produces a single number. This question is not answered by collecting data that very

G) non-statistical/ there is only one temperature

Answer:I think it’s possibly A it’s what I got on my test and got it right.

Answer:

[tex]\boxed {\boxed {\sf x \approx 23.49 \ cm }}[/tex]

Step-by-step explanation:

This is a right triangle (the small square in the corner signifies a 90 degree angle), so Pythagorean Theorem can be used.

[tex]a^{2} + b^{2} =c^{2}[/tex]

where a and b are the legs of the triangle and c is the hypotenuse. In this triangle, 17 and x are the legs because they form the right angle. 29 in the hypotenuse because it is opposite the right angle.

[tex]a= 17 \\b=x \\c= 29[/tex]

[tex]17^{2} + x^{2} =29^{2}[/tex]

Solve the exponents.

[tex]289+x^{2} =841[/tex]

289 is being added to x and the inverse is subtraction. Subtract 289 from both sides to isolate the variable.

[tex]289-289+ x^{2} =841-289\\x^{2} =552[/tex]

x is being squared and the inverse is a square root. Take the square root of both sides of the equation.

[tex]\sqrt {x^{2} }=\sqrt {552}[/tex]

[tex]x=23.4946802489[/tex]

Let's round to the nearest hundredth. The 4 in the thousandth place tells us to leave the 9.

[tex]x \approx 23.49[/tex]

x is approximately 23.49 centimeters.

Answer:

the answer is 4 × (17 - 9)

difference = 17 - 9

product 4 times

Answer:c

Step-by-step explanation:

Bc if it’s a square there will be 4 corners and each will have the same number count so u have to put even numbers in each corner and that’s 25 25+25=50 25+25=50 50+50=100

30° = 0.52

150° = 2.68

-220° = -3.34

Answer:

im not shure which one it is

Step-by-step explanation:

Answer:

A = $ 50,978.44

Step-by-step explanation:

First, convert R percent to r a decimal

r = R/100

r = 5%/100

r = 0.05 per year,

Then, solve our equation for A

A = P(1 + r/n)nt

A = 45,000.00(1 + 0.004166667/12)(12)(2.5)

A = $ 50,978.44

Answer:

x is 103 cause it is opposite angles and y is 77 180-103 hope this helps you

Answer: x=103° y=77°

Step-by-step explanation:

Opposite angles are always the same so, as x is opposite to 103°, it would be 103° too.

To work out what y is you would have to do 180-103=77°. The reason why is because angles on a straight line always add up to 180° and you can see that 103° and y are on the same line.

Hope this helps :)

The fourth graph represents the function  [tex]f(x)=\frac{3}{2} 2^{x}[/tex]

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given function is [tex]y=\frac{3}{2} 2^{x}[/tex]

It is an exponential function and 2>1, therefore it is an increasing in nature.

put x=0 in the given function to find the y-intercept of the graph.

f(0)=3/2.2⁰

f(0)=3/2(1)

f(0)=3/2=1.5

So, the y-intercept is 1.5.

In figure 1 and figure 1 the y-intercept is 1,  in figure 2 the y-intercept is 2 , therefore first three options are incorrect.

In figure 4 the y-intercept is 1.5, therefore the option 4 is correct.

Hence, the fourth graph represents the function  [tex]f(x)=\frac{3}{2} 2^{x}[/tex]

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ2

Answer:

4x + 3y − 18

Step-by-step explanation:

Simply 4x - 18 + 3y = 4x + 3y − 18