Find the simplest pattern and insert the missing term(s) of each sequence. 4, 7, 12, 21, 38, ___
I need help ASAP please <3.

Answer:

[tex]7/12[/tex]

Step-by-step explanation:

[tex]3/8=0.375[/tex]

[tex]5/10=0.5[/tex]

[tex]7/12 \approx 0.58333333333[/tex]

[tex]6/14 \approx 0.42857142857[/tex]

Therefore, 7/12 is the closest to 1 than 0.

0.96176920308

Answer: Amount in account after 3 years $513.52

Interest accrued in 3 years is $63.52

Step-by-step explanation:

450 x 4.5% = 20.25

Add to balance 20.25 + 450 = 470.25

470.25 x 4.5% = 21.16

Add to balance 21.16+470.25=491.41

491.41 x 4.5% = 22.11

Add to balance 22.11 + 491.41 = 513.52

Answer:

log base 10 of 40/9, log(40/9), or 0.6478

Step-by-step explanation:

Easiest and fastest way to do this is to plug it into the calc because the log base 10 of those numbers given will be nasty decimals.

Answer:

58

Step-by-step explanation:

First, find the interior angle adjacent to the angle GFD.

180 - (34+24) = 180 - 58 = 122

Now, the exterior angle = 180 - 122 = 58

hope this helps

Answer:

20 degrees

Step-by-step explanation:

If BD is the angle bisector of ABC, then ABD must equal half of that. 40/2=20 degrees. Hope this helps!

Answer:

[tex]m\angle ABD =20^\circ[/tex]

Step-by-step explanation:

According to the given statement the two angles are equal.

[tex]3x-1=34-2x\\\\\Rightarrow x=7\\\\m\angle ABD = 3(7)-1 = 20^\circ[/tex]

Best Regards!

Answer:

Step-by-step explanation:

Given that:

4x + 5x = $440

9x = $440

x = $49 (Approx.)

So, she received :

from the stock = 4 x 49 = $196

from the bond = 5 x 49 = $245

SO, now, how much did she invest ?

Answer:

Step-by-step explanation:

Let x represent the amount invested at 4% and y the amount at 5%.  Then x + y = 1000.  

Then:

0.04(1000 - x) + 0.05x) = 440 (total interest)

Then:

40 - 0.04x + 0.05x = 440, or

0.01x = 400, or

x = 40000 (not possible, because the principal is only $1000.

Something's wrong here.  Double check to ensure that you've copied the problem down correctly.

Answer:

Subtract 4 and then add 6.

Step-by-step explanation:

8-4=4

4+6=10

10-4=6

6+6=12

12-4=8

8+6=14

The rule for this pattern can be subtracting 4, and then adding 6.

Hey there! :)

Answer:

y = -3/2x - 6

Step-by-step explanation:

Begin by isolating the 'y' variable:

3x + 2y = -12

Subtract both sides by 3x:

2y = -3x - 12

Divide both sides by 2:

y = -3/2x - 6

Therefore, the equation in y = mx + b form is:

y = -3/2x - 6

Answer:

y= -1.5x-6

Step-by-step explanation:

In order to turn this equation into y=mx+b form, we need to move x to the other side.

Step 1 : Minus 3x on each side, leaving the equation into 2y=-12-3x

Step 2 : Now that we have everything on the right side, divide the equation by 2.

Step 3 : After dividing -12 and -3x, we are left with -6 and -1.5x (or -1/2x) which leaves us with y=-1.5x (OR -1/2x) - 6.

Answer:

y = 14

Step-by-step explanation:

y ∝ [tex]\frac{1}{x}[/tex]

=> y = [tex]\frac{k}{x}[/tex]     -------------(1)

Where k is the constant of proportionality

Now,

x = 7, y = 4

Putting in (1)

4 = [tex]\frac{k}{7}[/tex]

So,

=> k = 28

Now y = ? when x = 2

Putting x and k in (i)

y = [tex]\frac{28}{2}[/tex]

y = 14

Answer:

[tex]y=14[/tex]

Step-by-step explanation:

[tex]y \propto 1/x[/tex]

[tex]y=k/x[/tex]

[tex]4=k/7[/tex]

[tex]4 \times 7 = k[/tex]

[tex]28=k[/tex]

[tex]y=28/x[/tex]

[tex]y=28/(2)[/tex]

[tex]y=14[/tex]

Answer:

5 ft, I think

Answer:

256in²

Step-by-step explanation:

Just add the area the two Rectangals = A=128*2 = 256in² or calclute the whole and deduct the 2 missing sqares 16

384-128=256in²

Answer:

D. a = 29, b = 16, c = 24, d = 30, e = 22

Step-by-step explanation:

got it right on edge

The number of students who like both algebra and geometry is 27.

A Venn diagram is an overlapping circle to describe the logical relationships between two or more sets of items.

We have,

The number of students who like both algebra and geometry is the intersection of A and G, denoted as A ∩ G.

The number of students who like algebra only is the difference between A and A ∩ G, denoted as A - A ∩ G.

The number of students who like geometry only is the difference between G and A ∩ G, denoted as G - A ∩ G.

The number of students who do not like either subject is the complement of the union of A and G with respect to U, denoted as U - (A ∪ G).

We are given that:

A = 45

G = 53

U = 75

U - (A ∪ G) = 6

Now,

U - (A ∪ G) = 6

75 - (45 + 53 - A ∩ G) = 6

27 = A ∩ G

Therefore,

The number of students who like both algebra and geometry is 27.

Learn more about the Venn diagram here:

https://brainly.com/question/1605100

#SPJ5

The complete question.

A group of 75 math students were asked whether they like algebra and whether they like geometry. A total of 45 students like algebra, 53 like geometry, and 6 do not like either subject.

Find the number of students who like both algebra and geometry.

Answer:

6

Step-by-step explanation:

Note that any digits other than the units digit will not affect the answer. So to make computation quicker, we can just look at the Fibonacci sequence in $:

$1,1,2,3,5,8,3,1,4,5,9,4,3,7,0,7,7,4,1,5,6,....$

The last digit to appear in the units position of a number in the Fibonacci sequence is $6.

The last to appear in the ones position of a number in the Fibonacci sequence is [tex]6[/tex].

The Fibonacci sequence [tex]1, 1, 2, 3, 5, 8, 13, 21[/tex], … starts with two 1s, and each term afterward is the sum of its two predecessors.

The next terms are:

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946.

Here, it can be seen that [tex]6[/tex] is the last to appear in the ones position of a number in the Fibonacci sequence.

Learn more here:

https://brainly.com/question/13247630?referrer=searchResults

Answer:

[tex]\frac{5x+1}{5}[/tex]

Step-by-step explanation:

Given Condition:

=> x+50%-30%

=> x+20%

=> [tex]x+ \frac{20}{100}[/tex]

LCM = 100

=> [tex]\frac{100x+20}{100}[/tex]

Taking 20 common

=> [tex]\frac{20(5x+1)}{100}[/tex]

=> [tex]\frac{5x+1}{5}[/tex]

Hope this helps!

Don't hesitate asking anything regarding this!

Step-by-step explanation:

First we find the interest at the end of the first year.

Principal = #600

Rate = 3%

Time = 1 year

Interest = [tex]\frac{600 * 3 * 1}{100}[/tex]

             = #18

Amount = #618 at the end of the first year

Now at the end of the second year.

Principal now = #618

Rate now = 2%

Time = 1 year

Interest = [tex]\frac{618 * 2 * 1}{100}[/tex]

             = #12.36

Amount = #630.36 at the end of the second year

Answer:

234.85

Step-by-step explanation:

This was easy!!!

(The gardener comes 4 times a month... so divide 85.40 by 4 and you will get 21.35. Each time he comes, he gets 21.35 and by the end of the month, he has 85.40. It says he already came 11 times. So 4 + 4 = 8 + another 4 that equals 12. He came only two months and a few weeks. This means multiply 85.40 by 2 so you would get 170.8. It said he came 11 times so substract 11 from 8 and you would get 3. So multiply 21.35 by 3 and get a total of 64.05. Add 170.8 and 64.05 to get 234.85!!! The answer is 234.85 or C!!!!

Answer: C. $234.85

Explanation: $85.40 (how much Katrina pays each time the gardener comes) * 4 (the number of times the gardener comes each month)  = $234.85 (how much the gardener made)

Answer:

see explanation

Step-by-step explanation:

To solve these equations equate them to zero, that is

x² - x - 42 = 0

Consider the factors of the constant term (- 42) which sum to give the coefficient of the x- term (- 1)

The factors are - 7 and + 6, since

- 7 × 6 = - 42 and - 7 + 6 = - 1 , thus

(x - 7)(x + 6) = 0

Equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

x + 6 = 0 ⇒ x = - 6

Solutions are x = - 6, x = 7

---------------------------------------------------------

x² + x - 6 = 0 ← in standard form

(x + 3)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 2 = 0 ⇒ x = 2

Solutions are x = - 3, x = 2

------------------------------------------------------------

x² - 25 = 0 ( add 25 to both sides )

x² = 25 ( take the square root of both sides )

x = ± [tex]\sqrt{25}[/tex] = ± 5

Solutions are x = - 5, x = 5

Answer:

Brainleist!

Step-by-step explanation:

See picture

Answer:

4x+12

Step-by-step explanation:

The area of a rectangle is given by

A = l*w

A = (x+3) *4

Distribute

A = 4x+12

Answer:

Solution,

[tex]diameter = 5 \: cm \\ height = 30 \: cm \\ surface \: area \: of \: cylinder \\ = 2\pi \: r(h + r) \\ = 2 \times \frac{22}{7} \times 2.5(30 + 2.5) \\ = 5 \times \frac{22}{7} \times 32.5 \\ = 510.71 \: {cm}^{2} [/tex]

hope this helps...

Good luck on your assignment...

Answer :

Here,

Diameter = 5cm so, radius = 5/2 = 2.5

Height = 30 cm

Surface area of a cyclinder = 2πr(r+h)

= 2 × 22/7 × 2.5 ( 30 + 2.5 )

= 5  ×  22/7  ×  32.5

= 510.71 cm²

Answer:

30° each

Step-by-step explanation:

Complementary angles are those that add up to 90° so if they are all equal then it's

90/3=30°

Answer: 30° each

Complementary angles are those that add up to 90° just to remind you!!

Answer:

slope is undefined

Step-by-step explanation:

We can use the slope formula

m = (y2-y1)/(x2-x1)

   = (-4 -1)/(8-8)

     = -5/0

We cannot divide by zero so the slope is undefined

Answer:

Slope is undefined .

Step-by-step explanation:

        y2 - y1

m =   ---------------  

         x2 - x1

           -4 - 1             -5

m =   ---------------  =  ----- -  = 0

            8 - 8             0

Answer:

[tex]f(x)=6x^2+x-1[/tex]

I hope this help you :)

Answer:  Area = 26π + 20 cm²

Step-by-step explanation:

There are 2 large semicircles = 1 large circle

There are 2 small semicircles = 1 small circle

There is 1 rectangle.

Find the Area of each shape above and then find their sum.

1) Large Circle: A = πr²,    d = 10 --> r = 10/2 = 5

                     A = π(5)²

                        = 25π

2) Small Circle: A = πr² ,    d = 2  --> r = 2/2 = 1

                     A = π(1)²

                        = π

3) Rectangle: A = length × width,     L = 10  w = 2

                      A = 10 × 2

                         = 20

Total = Large + Small + Rectangle

         = 25π   +    π      +  20

         = 26π + 20

I just wanted to say that the person who wrote the actual answer is a life saver and that answer is very correct :)

Answer:

Step-by-step explanation:

In the picture above

I hope it helps :)

Answer:

Chopped tomatoes

= 3/4 x 800 = 600g

Stock

= 3/4 x 600 = 450 ml

Red wine

= 3/4 x 300 = 225 ml

Answer: See below

Step-by-step explanation:

For this problem, you will need to use proportions to make sure that the ingredients are the correct amounts when the grams of minced beef is decreased.

Chopped tomatoes

[tex]\frac{400g beef}{800 g tomatoes} =\frac{300g beef}{x}[/tex]             [cross multiply]

[tex]400x=240000[/tex]                         [divide both sides by 400]

[tex]x=600g[/tex]

We will need 600 g chopped tomatoes.

------------------------------------------------------------------------------------------

Stock

[tex]\frac{400g beef}{600ml stock} =\frac{300gbeef}{x}[/tex]               [cross multiply]

[tex]400x=180000[/tex]                         [divide both sides by 400]

[tex]x=450[/tex]

We will need 450 ml of stock.

------------------------------------------------------------------------------------------

Red wine

[tex]\frac{400g}{300ml} =\frac{300g}{x}[/tex]                            [cross multiply]

[tex]400x=90000[/tex]                           [divide both sides by 400]

[tex]x=225[/tex]

We will need 225 ml of red wine.

Answer:

15 deg

Step-by-step explanation:

Sine and cosine are co-functions, so

sin x = cos(90 - x)

sin 25 = cos(90 - 25)

sin 25 = cos 65

y + 50 = 65

y = 15

Answer:

[tex] \sin(b) = \frac{12}{13} [/tex]

Answer:

[tex]-72x^8[/tex]

Step-by-step explanation:

=> [tex](-2x^2)^3*(-3x)^2[/tex]

=> [tex]-8x^6*9x^2[/tex]

=> [tex](-8*9) *(x^6x^2)[/tex]

When bases are same powers are to be added

=> [tex](-72)(x^{6+2})[/tex]

=> [tex]-72x^8[/tex]

Answer:

[tex]- 72x^{8}[/tex]

Step-by-step explanation:

[tex]( - 2x^2 )^3 \times ( - 3x )^2[/tex]

Distribute the exponents to the brackets.

[tex]( - 2^3x^{2\times 3} ) \times ( - 3^2x^2 )[/tex]

[tex]( - 2^3x^{6} ) \times ( - 3^2x^2 )[/tex]

[tex]( - 8x^{6} ) \times ( 9x^2 )[/tex]

[tex]- 8 \times x^{6} \times 9 \times x^2[/tex]

[tex]- 8 \times 9 \times x^2 \times x^{6}[/tex]

Multiply like terms and add exponents with same bases.

[tex]- 72 \times x^{2+6}[/tex]

[tex]- 72 \times x^{8}[/tex]