I need help on 1, 2, an 3

Given:

The sequence can be generated by

[tex]a_n=4a_{(n - 1)}[/tex]

Where [tex]a_1= 6[/tex] and [tex]n[/tex] is a whole number greater than 1.

To find:

The first four terms of the given sequence.

Solution:

We have,

[tex]a_n=4a_{(n - 1)}[/tex]          ...(i)

It is given that [tex]a_1= 6[/tex]. So, for [tex]n=2[/tex], we get

[tex]a_2=4a_{(2 - 1)}[/tex]

[tex]a_2=4a_1[/tex]

[tex]a_2=4(6)[/tex]

[tex]a_2=24[/tex]

Putting [tex]n=3[/tex] in (i), we get

[tex]a_3=4a_{(3- 1)}[/tex]

[tex]a_3=4a_2[/tex]

[tex]a_3=4(24)[/tex]

[tex]a_3=96[/tex]

Putting [tex]n=4[/tex] in (i), we get

[tex]a_4=4a_{(4- 1)}[/tex]

[tex]a_4=4a_3[/tex]

[tex]a_4=4(96)[/tex]

[tex]a_4=384[/tex]

The first four terms of the given sequence are 6, 24, 96,384.

Therefore, the correct option is C.

Answer:

This is really hard, but what you marked is CORRECT, it is the second option :D

Mark brainliest please ;P

Answer:

Step-by-step explanation:

Before the increase it was 100%

So 20+100=120

156/120*100=130$

Don’t do it like 20/100 *156 and then minus it from 156 because you will get a wrong answer

(This was answered by another person on a another question.)

Answer:

130

Step-by-step explanation:

x * 1.2 = 156

x = 156/1.2

x = 130

Sorry but can't understand

Answer:

y-5=-3(x-10)

Step-by-step explanation:

y-y1=m(x-x1)

y-5=-3(x-10)

Answer:

y = -3

Step-by-step explanation:

x + 2y = 1 then x = 1 - 2y

x– 2y = 13

substitute for x:

1 - 2y - 2y = 13

simplify:

-4y = 12

y = -3

x = 7

Answer:

Step-by-step explanation:

The volume of the triangular prism, this is an isosceles triangular prism is

V=1/2 * a*b*h

V=1/2 x10x8x14=560 cm^3

Answer:

16

Step-by-step explanation:

multiply 32 by whatever a right angle give you

Answer:

Jesse's store will sell the phone cases for $14.80

Step-by-step explanation:

Cost price of the phone cases purchased by Jesse = $8

He marks them up 85%.

Therefore, selling price of the phone cases = $8 + (85% of $8)

                                                                        = 8 + ([tex]\frac{85}{100}\times 8[/tex])

                                                                        = 8 + 6.80

                                                                        = $14.80

Jesse's store will sell the phone cases for $14.80

Answer:

Answer:

a. ----> $10

b. ----> $110

Step-by-step explanation:

Step-by-step explanation:

principle ( p ) = $100

time ( t ) = 10 years

rate ( r ) = 11%

simple interest = (p × r × t)÷ 100

= ( $100 × 11 × 10 )÷ 100

= 11000 ÷ 100

= $110

interest = simple interest - principle

interest = $110 - $100

= $10

Answer:

2 1/5 can also be written as 11/5

The reciprocal of 11/5 is 5/11

Answer:

5/11

Step-by-step explanation:

2 1/5 into an improper fraction is 11/5.. recipricol is 5/11

Answer:

im sorry dont know anwser wish i could help

Step-by-step explanation:

Answer:

x ≈ 10.9

Step-by-step explanation:

Using the sine ratio in the right triangle

sin40° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{7}{x}[/tex] ( multiply both sides by x )

x × sin40° = 7 ( divide both sides by sin40° )

x = [tex]\frac{7}{sin40}[/tex] ≈ 10.9 ( to the nearest tenth )

D: x=66

Step-by-step explanation:

As we know the angle is 90 degree.Then x+24 degree is equal to 90 degree as whole part axiom. If we subtract 24 from 90 we get 66

Hope it's helpful!!

Answer:

This shape is a hexagon. Angles in a hexagon add to 720 degrees.

2(y) + 4(2y-20) =  720

2y + 8y-80 = 720

10y-80=720

10y=800

y=80

Let me know if this helps!

Answer:

20.9, 34

Step-by-step explanation:

How to find mean: add up all the numbers and  divide by how many numbers

19, 19, 20, 20, 20, 21, 22, 22, 22, 22, 23

(19+19+20+20+20+21+22+22+22+22+23)/11=230/11=20.9(rounded)

If the new mean is 22, sum of all the numbers is 22 times 12=264

264-230=34(new player age)

Answer:

E. Leela Chitnis

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

Answer:

Step-by-step explanation:

Angle formed by two intersecting chords is half the sum of the intercepted arcs:

Answer:

f=43

Step-by-step explanation:

Hey There!

So if you didn't know the exterior angle (aka f) is equal to the sum of the opposite interior angles

so essentially what i am saying is that

19+24=f

19+24=43

therefore

f=43

hope this helps :)

if you have anymore questions just let me know

Answer:

EF=22

C=70°

B=110°

Step-by-step explanation:

Trapezoids have to have a total of 360° and there are complementary angles.

Answer: this will help

Step-by-step explanation: AB = DE

BC = EF

CA = FD

Angle A = Angle D

Angle B = Angle E

Angle C = Angle F

Answer:

x = 5([tex]\sqrt{3}[/tex])

y = 10

Step-by-step explanation:

1st, we need to find the angles on the triangle before we can solve for side lengths.

Line Y is intercepted by line X which forms 2 supplementary angles.

These angles add up to 180 so 180 - 150 = 30 therefor the angle is 30 degrees

Next, using the vertical angle theorem, we see that there is a right angle and using this theorem, we can determine this is a right triangle and that angle is 90 degrees

Using the triangle sum theorem, we know a triangle's sum is = to 180 degrees

90 + 30 + x = 180

120 + x = 180

x = (180 - 120)

x = 60

We now determined this is a 90-60-30 triangle

The opposite of the 30 degree angle is the 5 unit measurement

According to this theorem 5 is equal to x because the side opposite of the 30 degree angle is = to x (not the side variable, the variable for this theorem)

We now solve the rest

x = 5

2x (opposite of 90 degrees) = 10

5x = 5([tex]\sqrt{3}[/tex]) (This is in its simplest form)

So now based upon this,

x = 5([tex]\sqrt{3}[/tex])

y = 10

Answer:

10

Step-by-step explanation:

:)

Given:

The equation of given line is

[tex]y=3x-4[/tex]

A line is perpendicular to the given line and passes through the point (9,5).

To find:

The equation of the perpendicular line.

Solution:

We have,

[tex]y=3x-4[/tex]

On comparing this equation with slope intercept form [tex]y=mx+b[/tex], we get

[tex]m=3[/tex]

It means, the slope of the given line is 3.

The product of slopes of two perpendicular lines is -1.

[tex]m\times m_1=-1[/tex]

[tex]3\times m_1=-1[/tex]

[tex]m_1=-\dfrac{1}{3}[/tex]

Point slope form of a line is

[tex]y-y_1=m(x-x_1)[/tex]

Where, m is the slope.

The slope of perpendicular line is [tex]-\dfrac{1}{3}[/tex] and it passes through the point (9,5). So the equation of the line is

[tex]y-5=-\dfrac{1}{3}(x-9)[/tex]

[tex]y-5=-\dfrac{1}{3}(x)-\dfrac{1}{3}(-9)[/tex]

[tex]y-5=-\dfrac{1}{3}x+3[/tex]

Adding 5 on both sides, we get

[tex]y-5+5=-\dfrac{1}{3}x+3+5[/tex]

[tex]y=-\dfrac{1}{3}x+8[/tex]

Therefore, the equation of required line is [tex]y=-\dfrac{1}{3}x+8[/tex].

Answer:

I believe that it would be A.

But answer A should be [tex]3a + ab - a^{2}[/tex]

Step-by-step explanation:

Answer:

M=-3d+36

Thank you! I hope you have fun in math, although personally I hate it.