Please help me find the missing side and show your work

Answer:

10√2

Step-by-step explanation:

5√2³ = 5√8 = 5√(2 x 4) = (2 x 5)√2 = 10√2

Given:

The arithmetic sequence is:

10, 12, 14, 16, ...

To find:

The function that generates the given sequence if n is an integer.

Solution:

We have,

10, 12, 14, 16, ...

Here, the first term is 10 and the common difference is:

[tex]d=a_2-a_1[/tex]

[tex]d=12-10[/tex]

[tex]d=2[/tex]

The nth term of an arithmetic sequence is:

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

Where, a is the first term, d is the common difference and [tex]n\geq 1[/tex].

Putting [tex]a=10,d=2[/tex] in the above formula, we get

[tex]a_n=10+(n-1)2[/tex]

[tex]a_n=10+2n-2[/tex]

[tex]a_n=8+2n[/tex]

Therefore, the function [tex]a_n=8+2n, n\geq 1[/tex] generates the sequence.

Answer:

2

Step-by-step explanation:

Answer:

BD is a diameter

Step-by-step explanation:

Answer:

If a=0.6 and b=0.75, then a·b=9/20 and a/b=4/5

Step-by-step explanation:

The value of a•b =0.045 and a/b = 8

A number expressed as a quotient, in which a numerator is divided by a denominator

given: a=0.6, b= 0.075

Now, a*b= 0.6*0.075

               = 0.045

and, a/b

= 0.6/0.075

=8

Hence, a*b= 0.045 and a/b =8

Learn more about fraction here:

https://brainly.com/question/10354322

#SPJ2

Answer: The distance between (-6, 4) and (-1, 4) is 5 units.

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Parallel lines always have the same slope

Answer:

10.754 billion

Step-by-step explanation:

this is a exponential growth question. the initial value is 6.114 billion, with a growth rate of 1.9%, and 30 years. after you plug the values into the exponential growth equation, you should get 10.754 billion.

Answer:

9.6 x 10^3 thats the answer...............................................................

Answer:

No

Step-by-step explanation:

you can check with the pythagorean theory

[tex]8^{2}+9^{2} =12^{2}[/tex]

64 + 81 = 144

145 = 144

this is not true, therefore those side lengths do not make a right triangle.

Answer:

486 sq. in

Step-by-step explanation:

Find the area of one face

Area = s^2

s = 9 in

Area = 9^2

Area = 81

Area 6 sides

There are 6 sides to a cube. So if you have the area of 1 side, you need only multiply by 6 to get the area of the cube

Area = 6 * 81

Area = 486

Answer:

I would choose two 12 inch pizza if I want more pizza as two 12 inch pizzas have larger circumference than one 18 inch pizza

c=πd

circumference= pie × diameter

c=2πr

circumference= 2×pie×radius

A=πr²

Area= pie×square radius

Pie= 22/7, 3.14( depends on the question, sometimes the value of pie will be given in the question)

radius= half of diameter

To find perimeter of circle use 2πr

To find area of circle use πr² or πd

Answer:

Step-by-step explanation:

I hope this helps you

Rectangular Prism Volume is

Height. Width. Height

(6.25).(7.5).(8)

375

Answer:

A because the river is fastest at that shore

Step-by-step explanation:

Answer:

the exact form is 2/5. the decimal form is 0.4 ig

Step-by-step explanation:

Answer:

this is so a.s.s i need my account unbanned #freeitzel #freeitzelsotheracc #itzelneedssaving

Step-by-step explanation:

Answer:

(-3,-5)

Step-by-step explanation:

Quadrant III is on the bottom left corner.

Answer:

80-89

Hope this helps

Answer:

A

Step-by-step explanation:

Answer:

roubd it to 20 and you will get 679.90

Answer:

The president should release the new laptop now

Step-by-step explanation:

The profit if the new laptop is released now and no competitive device enters the market = $120,409.00

The profit if the new laptop is released now and a competitive device enters the market = $29,698

The profit if the new laptop is released in a years time and no competitive device enters the market = $84,742.00

The loss if the new laptop is released in a years time and a competitive device enters the market = $59,396.00

The chance that a competitive device will enter the market = 22%

∴ The chance that a competitive device will not enter the market = 1 - 22% = 78%

The expected increase in profit the company can make, compared to next year, if the new laptop is released and no competitive device enters the market = ($120,409.00 - $84,742.00) × 78% = $27,820.26

The expected increase in profit the company can make, compared to next year, if the new laptop is released and a competitive device enters the market = ($29,698.00 - $59,396.00)×0.22 = ($6,533.56) loss

Therefore, to maximize the expected profit over the next year, the president should release the new laptop now to make an expected profit of $27,820.26 over the next year.

Answer:

I believe C

Step-by-step explanation:

hope this helps

Answer: 11k + 16 and 7k + 4k + 16

Step-by-step explanation: if we distribute the 4 first we get

7k+4k+16

we can aslo combine the k's to get

11k+16

hope this is helpful (^_^)

Answer:

Since Michael traveled 63 miles while Leah traveled 45.48 miles, Michael traveled 17.51 extra miles.

Step-by-step explanation:

Given that Walltown is 25 miles east of Park City, and Park City is 38 miles south of Edenton, and Michael drove from Edenton to Park City and then to Walltown while Leah drove straight from Edenton to Walltown, to determine about how much farther did Michael drive than Leah, the following calculation must be performed, using the Pythagorean theorem:

Michael:

38 + 25 = 63

Leah:

25 ^ 2 + 38 ^ 2 = X ^ 2

625 + 1,444 = X ^ 2

2,069 = X ^ 2

√2,069 = X

45.48 = X

63 - 45.49 = 17.51

Therefore, since Michael traveled 63 miles while Leah traveled 45.48 miles, Michael traveled 17.51 extra miles.

Answer:

148 = x

Step-by-step explanation:

Using the Secant and Tangent Intersection theorem we can say;

38 = 1/2 (x - 72)

38 = 1/2x - 36

74 = 1/2x

(74)/(1/2) = x

148 = x

Hope this helps!

Answer:

A

Step-by-step explanation:

So lets look at the points on the graph.

Actually, lets just look at a and b(We only need 1 of these points, but it doesnt hurt to do a little extra to udnerstand it better)

If we count the coordinates for A, we get:

(-2, 3)

Remember, we need to use a scale factor of 2 for this.

So we need to multiply by 2.

This now gets us:

(-4. 6)

This looks like answer A, which has:  (-4, 6) for A coordinates.

Now, lets check this with B coordinates:

(1, 3)

Multiply by 2:

(2, 6)

For answer A, is this the B coordinates?

Yup, answer A has B coordinates (2, 6)

So the answer is A!

Hope this helps! :)

Answer:

$137.50

Step-by-step explanation:

Simples interest = amount deposited x time x interest rate

2500 x 0.055 x 1 = 137.50

Answer:m

Step-by-step explanation:

Answer:

x>3

Step-by-step explanation:

you would subtract 5x from 2x and get -3x+10 < 1

then subtract 10 from 1 and get -9 so

-3x<-9 then divide and flip sign x>3 hope this helps

Answer:

x>3

Step-by-step explanation:

1.subtract both sides

2x+10 -5 < 5x+1 -5

-3x+10<1

2.subtract 10 from both sides

-3x+10 -10 < 1 -10

-3x<-9

3.divide both sides with number including x

-3x < -9

-3      -3

= x > 3

---l----l-----l----O---l-----l-----l-->

 0    1     2    3    4     5    6

Answer:

a. first coin heads: 82/160

b. second coin heads: 115/250

a AND b: a x b = 82/160 x 115/250

Step-by-step explanation:

if not then im confuzzled

Answer:

The final balance is £11,285.58.

The total compound interest is £4,285.58

Step-by-step explanation:

hope that's right and it helps you

also please tell me If I got it right or wrong