Please help me with these 2 questions. 50 points

Answer:

26

Step-by-step explanation:

Each term is the previous with 4 added to it.

a1 = 10, a2 = 14, a3 = 18, a4 = 22, a5 = 26

The value of [tex]a_{5}[/tex] will be equal to 26 .

It is given that [tex]a_{1}[/tex]= 10 and [tex]a_{n} = a_{n-1} + 4[/tex].

We have to find the value of [tex]a_{5}[/tex].

What do you mean by sequences ?

Sequences are a list of numbers which are arranged in a special manner i.e., 2 , 4 , 6 , 8 numbers of this sequence gets increased by 2 every time.

As per the question ;

The first term ;  [tex]a_{1}[/tex]= 10

and given ;

[tex]a_{n} = a_{n-1} + 4[/tex]

So ;

2nd term will be ;

[tex]a_{2} = a_{1} + 4[/tex]

[tex]a_{2}[/tex] = 10 + 4

or

[tex]a_{2}[/tex] = 14

Now ;

3rd term will be ;

[tex]a_{3} = a_{2} + 4[/tex]

[tex]a_{3} = 14 + 4[/tex]

[tex]a_{3}[/tex] = 18  

Hence , the common difference is d = 4.

So ;

4th term will be ;

[tex]a_{4}[/tex] = 18 + 4

[tex]a_{4}[/tex] = 22

and

5th term will be ;

[tex]a_{5}[/tex] = 22 + 4

[tex]a_{5}[/tex] = 26

Thus , the value of [tex]a_{5}[/tex] will be equal to 26 .

To learn more about sequences click here ;

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Answer:

p= 8250

r=7.25

t= 3 years

p×r×t

figure out the rest

2/5=x/30 so first one times by 6 and to get 12

Answer:

Step-by-step explanation:

2y - 6 + y = 180   {Co-interior angles}

3y - 6   = 180

      3y = 180 + 6

     3y = 186

       y = 186/3

       y = 62

y + w = 180     {Linear pair}

62 +w = 180

       w = 180 - 62

        w = 118

ΔILK ,

∠L +  ∠ I + ∠K = 180  {Angle sum property of triangle}

w + z + 30 = 180

118 + z + 30 = 180

     z +  148  = 180

               z =180-  148

                z = 32

x = z    {Alternate interior angles}

x = 32

Answer:

O multiplication and addition

Step-by-step explanation:

let no be n

"eight more than the product of a number and two=2n+8

Answer:

238.40

Step-by-step explanation:

you need to use "PRT"( Principal× Rate×time) but since it doesn't give us the time, we'll be only doing principal×rate. just multiply 596 and 40% And don't forget to put the percent sign bc it would change the price!! and I hope that helps u

Answer:

x=-2

Step-by-step explanation:

add 18 to both sides, simplify, add 6x to both sides, simplify, divide both sides by -12.then simplify again... I hope that helps...

Answer:

(20,280) and (10,300)

Step-by-step explanation:

It was the correct answer on the practice question

Answer:

Edmentum/Plato

Answer:

17

Step-by-step explanation:

We have the following equation for compounding annual interest

AV=PV(1+i)ⁿ

We have

19200=7400(1+.06)ⁿ

Solve for n

divide both sides by 7400

2.594=(1.06)ⁿ

then use the following rule for exponents

[tex]x^y=z\\log_xz=y[/tex]

which means that

[tex]log_{1.06}2.594=n[/tex]

Solve and get

16.362

which rounds to 17

Answer:

Follow the lines

Step-by-step explanation:

Follow what the lines go with what the table has.

To make this really easy, find the slope of the line

To do this you find an easy point.

Ex. x=3 and y= 150

then take it into a slope y-intersept formula

y= mx

150= 3x

50 = x

so for every time x goes up one interval, y increases at a rate of 50.

And for y, do the opposite, for every 50 y, x goes up 1.

By following this linear path, you should really beable to solve the graph on the right. (If you need to, use a calculator for dividing the y numbers by 50 to get x)

y= 50x is ur slope/formula

(Ill leave the rest for you to answer with this data above ;) )

Hope This Helps :)

Answer:

x+90

90/6=15

15=15

Step-by-step explanation:

Answer:

it is a linear graph ‍♂u think that at what distans he do read page in a hour

Answer:

-5x^5 + 2x^3 - 6x should be your answer

Answer:

this is pythagorus theorem

the height is 7,2

the distance is d

d^2 = 5^2 + 4^2

hope this helps

Answer:

10/10 = 1

x2/x2 = 1

x3/x3 = 1

10 raise to power 4/ 10 raise to power 2 = 10 raise to power 2

5  raise to power 5/ 5 raise to power4 = 5

x  raise to power 7/ x raise to power 5 = x  raise to power2

Step-by-step explanation:

I hope this helps a little bit.

Answer:

16. x = 16

17. x = 11

Step-by-step explanation

15.

a. 58* Angle 2 = Angle 4 Angle 1 + Angle 2 = 180*

b. 58* Angle 3 + Angle 4 = 180*

c. 58* Angle 1 = Angle 6

d. 58* Angle 6 = Angle 8

e. 122* Angle 4 = Angle 2

f. 122* Angle 4 = Angle 5

g. 122* Angle 5 = Angle 7

16. Alternate Interior angles. They're equal.

10x - 29 = 8x + 3

2x = 32

Divide by 2 to isolate x

x = 16

double check by putting 16 in for x to see if original statement is true

10 (16) - 29 = 8 (16) + 3

160 - 29 = 128 +3

131 = 131

17. Consecutive interior angles. They equal 180*

13x - 26 + 5x + 8 = 180

18x - 18 = 180

18x = 198

Divide by 18 to isolate x

x = 11

Double check

13 (11) - 26 + 5 (11) + 8 = 180

143 - 26 + 55 + 8 = 180

180 = 180

Answer:

t = 1/3

Step-by-step explanation:

for this problem we have two different shapes, what we need to do is find out the proportional relationship between the two to solve for t, lets take one of the measurements from the smaller shape, we will go with... JK at 5

now all we need to do is divide that by the larger shapes same side, in this case that would be RP at 22.5, heres what that looks like so far

5 / 22.5 = 0.2-> (the two goes on forever, normally this is represented by a line above the infinite number, this is what they call a Repeating Decimal)

ok, so now that we have the rate of change between the two shapes figured out, now we just make the same change to the last side from the same side on the first shape, wich is LK to QR as shown

1.5 * 0.2-> = 0.3->

and if 0.3 is = to 1/3, so t = 1/3

i hope this helped you out, im sorry if im a little late lol, make note that all of this can be applied to similar situations, just figure out the change(s) that happened from one shape to the other, and make that same change on the unknown side or area

take care :D

Answer:

[tex]\boxed{x = 10.28 \%}[/tex]

Step-by-step explanation:

[tex] \frac{(26.75)x}{100} = 2.75 \\ \boxed{x = 10.280373832}[/tex]

Answer:

x=8 and y=53

Step-by-step explanation:

Given function:

Find x:

y is:

Therefore, x=8 and y=53..

Answer:452

Step-by-step explanation:

V = π r^2 h

= 3.14 * 3^2 * 16

= 3.14 * 9 * 16

= 452.16

Answer:

Step-by-step explanation:

Two similar triangles.

10/26 = y/13

y = 5

x² = 13² - y² = 144

x = 12

Answer:6x - (6xa)/(7)

Step-by-step explanation:

Answer:

-14.1

Step-by-step explanation:

well I dont feel like explaining just go there

Answer:

If two points pass through each other it means that it is not a function. The vertical line test shown proves that fact.

Step-by-step explanation:

Answer:

y = -5x - 5

Step-by-step explanation:

Given the standard form of an equation as y=mx+c

m is the slope

c is the intercept

Using the coordinate points

(1, 0) and (0,-5)

m = -5-0/0+1

m = -5/1

m = -5

Get the intercept

Intercept is the point where thee line cuts the y axis. intercept is -5

Get the equation:

Recall that y = mx+c

y = -5x + -5

y = -5x - 5

This gives the required equation

Answer:

252

Step-by-step explanation:

600X42%=252

Answer: 11.78

Step-by-step explanation: You have to minus 36 by the cost of the hat and sunglasses.

Answer:

11.78

Step-by-step explanation:

Lacery has 36 dollars so she only has 36

she buy a pair of sunglasses for 14.89    14.89

ans buys a hat for 9.33                  

add 9.33 and 14.89 which u get 24.22

36.00

 minus

24.22 equals 11.78

Answer:

21 emperor penguins

Step-by-step explanation:

1. Convert 35% to decimal form

0.35

2. Multiply 0.35 by 60

21

3. The answer is 21

Answer:

Look at the names of the prisms above. Each type of prism is named after its base. In the figure on the left, the base is a rectangle, so it is called a rectangular prism. In the middle, the base is a triangle, so the shape is a triangular prism.

Step-by-step explanation: