Determine the perimeter

Answer:

As can be observed, every term in the given sequence: 2, 4, 6, 8, ..., is an even positive integer, and is, therefore, a multiple of 2:

1st term: 2 = 2(1)

2nd term: 4 = 2(2)

3rd term: 6 = 2(3)

4th term: 8 = 2(4)

Additional terms:

5th term: 10 = 2(5)

6th term: 12 = 2(6)

7th term: 14 = 2(7)

8th term: 16 = 2(8)

Therefore, using this same pattern, we see that the nth term of the given sequence is: 2n, where n is a positive integer that indicates the desired term of the sequence. For example, the 500th term of the sequence is: 2n = 2(500) = 1,000.

Notice that we add 2 to each term in order to get to the next term.

Since we use addition, we have an arithmetic sequence.

Hence, the nth term is:-

n+2

Hope it helps!

Any queries - comment !

express the following rational algebraic expression to its simple form.show your solution

1. 25 ׳y³/ 75 ×⁴y⁴

Answer

Answer:

yes it can

.........................................

Answer:

Yes

Step-by-step explanation:

A linear function is a straight line and when we graph x=2 the line goes straight through x=2

Answer:

x = 4

y = 8

Steps are given, below in the picture

I hope my answer helps you.

Step-by-step explanation:

Use trigonometric ratios to get one of the missing sides. Once you have that side you can use the theorem of pythagoras or you can use a trig ratio to get the remaining side.

SOH CAH TOA

Answer:

28

Step-by-step explanation:

radius= 14

circumstances of tire=?

Based on given conditions, formulate

circumstances= 2 multiply radius

= 2 multiply by 14

= 28

Answer:

-28

Step-by-step explanation:

6|-5| - 3(2/3) + 7(-8)=

30 -2 -56

30 -58 = -28

Using proportions, it is found that the values that complete the table, from top to bottom, are given by: $670, $920, $1500, $2100.

A proportion is a fraction of a total amount.

Considering that the amounts in taxes correspond to 9% of the gross income, we have that for each family, we will find the incomes as follows:

Family 1:

0.09I = 60.30.

I = 60.30/0.09

I = $670.

Family 2:

0.09I = 82.80.

I = 82.80/0.09

I = $920.

Family 3:

0.09I = 135.00.

I = 135.00/0.09

I = $1500.

Family 4:

0.09I = 189.00.

I = 189.00/0.09

I = $2100.

More can be learned about proportions at https://brainly.com/question/24372153

Answer:

BC = 30.73

Here,

[tex]\sf \frac{AB}{BQ} = \frac{CD}{DQ}[/tex]

so first solve for QD

[tex]\sf \hookrightarrow \frac{32}{15} = \frac{19.2}{DQ}[/tex]

[tex]\sf \hookrightarrow 32(DQ)} =19.2(15)[/tex]

[tex]\sf \hookrightarrow 32(DQ)} =288[/tex]

[tex]\sf \hookrightarrow DQ =9[/tex]

Now! using Pythagoras theorem,

Answer:

BC = 30.7 units (nearest tenth)

Step-by-step explanation:

As ∠AQR = ∠CQR  then ∠AQB = ∠CQD

This means that ΔABQ ~ ΔCDQ

Therefore, the side lengths of two similar triangles are proportional.

[tex]\begin{aligned} \sf \dfrac{AB}{CD} & =\sf \dfrac{BQ}{QD}\\\sf \implies \dfrac{32}{19.2} & =\sf \dfrac{15.0}{QD}\\\sf \implies QD & = \sf 9 \end{aligned}[/tex]

Pythagoras' Theorem:  [tex]\sf a^2+b^2=c^2[/tex]

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

Substituting values into the formula:

[tex]\begin{aligned}\sf 24^2+19.2^2 & = \sf BC^2\\\sf BC^2 & = \sf 944.64\\\sf BC & = \sf \pm\sqrt{944.64}\\\sf BC & = \sf 30.7 \ (nearest \ tenth)\end{aligned}[/tex]

(since distance is positive only)

Ariana paid a 3.6% interest rate on the loan.

Simple interest is defined as interest paid on the original principal and calculated with the following formula:

S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100.

We have been given data as:

Principal (P) = $2000

Simple interest = $144

Time (T) = 2 years

⇒ Simple interest  = P × R × T

Substitute the value of P and T in the above formula,

⇒ 144  = 2000 × R × 2

⇒ 144  = 4000 × R

⇒ R = 144/4000

Apply the division operation, and we get

⇒ R = 0.036

⇒ R = 3.6 %

Therefore, Ariana paid a 3.6% interest rate on the loan.

Learn more about the simple interest here:

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Answer:

Floating point(Decimal) is 0.1

Fraction is [tex]\frac{1}{10}[/tex]

10^-1 is going to be 0.1 in this case. This is because 10^-1 is the same as [tex]\frac{1}{10^1}[/tex], which is the same as [tex]\frac{1}{10}[/tex], because anything times 1 remains the same.

[tex]\frac{1}{10}[/tex] is the same as 0.1

We get a 2-in-1 answer, which is perfect for this scenario!

Hence, the correct answers are [tex]\frac{1}{10}[/tex] and 0.1

Answer:

Bill go the better deal

Step-by-step explanation:

43.35/15=2.89

61.82/32=2.81

Answer:

Step-by-step explanation:

arc length= central length/360 (circumference)

GJ=90/360 (2π20)

GJ= 31.42

31.42

The length of arc GJ is 11.5133 unit.

In geometry, the arc length refers to the length of a portion of a curve or an arc of a circle. It is the distance along the curve between two endpoints of the arc.

We have,

m <GHJ = 66 and GH = 10 unit

Now, using arc length formula

= nπr / 180

= 66 x 3.14 x 10/ 180

= 11.5133 unit

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hi hope this is what you were looking for, hope this helps.

Answer:

a. 144m

b. After 2 secs

c. Ball hits the ground after 5 secs.

d. 128m

Step-by-step explanation:

A To find max height, find derivative of equation, let it equal zero, and sub in value into original equation: h(t) = -16t² + 64t + 80 h'(t)=-32t+64 -32t+64=0 32t=64 t=2 h(2) = -16(2²) + 64(2) + 80 h(2) = -64+128+80 = 144m B When h=144, t=2. Therefore, the ball reaches its max height after 2 secs. C When the ball hits the ground, h=0: -16t² + 64t + 80=0 t²-4t-5=0 (simplified) (t-5)(t+1)=0 t=5 and t=-1 Discount t=-1 (time cant be neg). Ball hits the ground after 5 secs. D Find h when t=1: h(t) = -16t² + 64t + 80 h(1) = -16(1²) + 64(1) + 80 h(1) = -16+64+80 h(1) = 128m.

Step-by-step explanation:

negative correlation because the negative correlation moves towards the left.

Step-by-step explanation:

b) cylinder volume = π r^2 h = π*4*3= 12π = 37.68in^3

d) cone volume = .33π r^2 h = .33*π*225*50= 3750π cm^3

f) cuboid volume = l*b*h = 44*19= 836 in^3

e) hemisphere volume = 2/3 π*r^3 = 883.57ft^3

Answer:

hypotenuse(?)

Step-by-step explanation:

A. -2/7

B. -8/15

hope it helps...!!!

Answer:

A. 56 in3

Step-by-step explanation:

Formula for Volume; LWH

L * W * H = 4* 4 * 2

16 * 2 = 32(3)

(second half of the container)

LWH = 3 * 4 * 2

12 * 2 = 24(3)

32 + 24 = 56(3)

Break into two cuboids

In cuboid

Hence

#1

Volume:-

#2

Volume:-

Total:

Answer:

x= 14. (ik this not trig but side opp. 30 angle is half the hypotenuse in right triangle). pls give brainliest

Step-by-step explanation:

The reason that makes mobile banking somewhat less secure than regular online banking is given by: Option B: Mobile devices can be lost or stolen more easily than a computer, such as a laptop.

Mobile banking is doing transaction and bank related works through mobile apps.

Online banking refers to internet banking, usually done through websites of banks. Usually, user uses this type of banking in desktops, rather than mobiles as for mobiles, there are apps already available which are more convenient than websites.

Option A is not correct as there is almost same security for both types of banking.

Option C is not correct as this third party information access can be done for both mobile and online banking if the security is weak, else none of them will be affected.

Option D: Mostly, banking apps do not store crucial informations in memory, and if they do so,then they are protected and no other app can use it., so this option is incorrect.

Option B is somewhat correct as mobiles can be lost or stolen easily. The hacker can then use that device to steal the data if the security is weak. But, even if the security is tight, the situation when your mobile with banking information is in hands of an unethical hacker is somewhat risky.

Thus, the reason that makes mobile banking somewhat less secure than regular online banking is given by: Option B: Mobile devices can be lost or stolen more easily than a computer, such as a laptop.

Learn more about online banking versus mobile banking here:

https://brainly.com/question/14733614

Answer:

Distributive Property

Step-by-step explanation:

You can distribute the 5 to the 6 and 9 in the parenthesis.

Answer:

distributive

is the letter A

Answer:

I'm pretty sure domain is x and range is why which would mean that:

domain: -5,6

range: 5,8,-5

Step-by-step explanation:

Hope this helps:)...if not then sorry for wasting you time and I hope you find the right answer and may God bless you:)

Answer:

A

Step-by-step explanation:

3 * 10^2 is 300miles in 5hrs. that sounds more reasonable than the other options. have a good day! pls give brainliest

I hope this helps, you can ask any questions for clarification

To write something in slope-intercept form

   ⇒ need to know what slope-intercept looks like: [tex]y = mx +b[/tex]

Let us first find the slope:

     Formula of slope = [tex]\frac{y2-y1}{x2-x1}[/tex]

    Slope = [tex]\frac{4-6}{8-5} =-\frac{2}{3}[/tex]

Lets now write in point-slope form:

     ⇒ [tex](y-y0)=m(x-x0)[/tex]

   [tex]y - 6 = -\frac{2}{3} (x-5)[/tex]

To write it into slope-intercept form, we must solve for y

   [tex]y = -\frac{2}{3}(x-5)+6 =-\frac{2}{3}x+\frac{10}{3} +6\\y = -\frac{2}{3} x+\frac{10}{3}+\frac{18}{3} \\y = -\frac{2}{3}x+\frac{28}{3}[/tex]<-- slope-intercept form

Hope that helps!