what does the enter sept do

Answer:

The explicit equation is [tex]\mathbf{a_n=5n+3}[/tex]

Option A is correct option.

Step-by-step explanation:

Third term of sequence is 18

Sixth term of sequence is 33

We need to find the explicit equation for the sequence.

The explicit sequence is [tex]a_n=a_1+(n-1)d[/tex]

We need to find a_1 the first term and common difference d

We have a₃=18

We can write it as: [tex]a_3=a_1+(3-1)d\\[/tex]

[tex]18=a_1+2d[/tex]

a₆=33

We can write it as: [tex]a_6=a_1+(6-1)d\\33=a_1+5d[/tex]

Now, solving these equation s we can find value of d

[tex]18=a_1+2d[/tex]

[tex]33=a_1+5d[/tex]

Subtract both equations

[tex]18=a_1+2d[/tex]

[tex]33=a_1+5d[/tex]

[tex]--------\\-15=-3d\\d=\frac{-15}{-3}\\d=5[/tex]

So, we get common difference d = 5

Now finding a_1

Put value of d in equation [tex]18=a_1+2d[/tex]

[tex]18=a_1+2(5)\\18=a_1+10\\a_1=18-10\\a_1=8[/tex]

So, we get a₁ = 12

Now, the explicit equation is:

[tex]a_n=a_1+(n-1)d\\a_n=8+(n-1)5\\a_n=8+5n-5\\a_n=5n+3[/tex]

So, the explicit equation is [tex]\mathbf{a_n=5n+3}[/tex]

Option A is correct option.

Answer:

1/2

Step-by-step explanation:

sin

(

20

)

cos

(

10

)

+

cos

(

20

)

sin

(

10

)

Decimal Form:

0.5

Answer:

c or b please dont get mad if i get it wrong

Step-by-step explanation:

your welcome

Answer:

2^27

Step-by-step explanation:

Given the following expression:

[(2^10)^3 x (2^-10)] ÷ 2^-7

This can be easily simplified. Let us simplify the numerator first. To do that, we have

(2^10)^3 making use of the power rule of indices that says:

(A^a)^b = A^ab where a and b are powers, we have:

2^(10x3) = 2^30

Therefore the numerator becomes:

2^30 x 2^-10. Also making use of the multiplication rule that says:

A^a x A^b = A^(a + b), we have

2^30 x 2^-10 = 2^(30 – 10) = 2^20.

Now we have:

(2^20) ÷ (2^-7)

To simplify this, we need the division rule of indices which says:

A^a ÷ A^b = A^(a – b)

Therefore we have:

(2^20) ÷ (2^-7) = 2^[20 – (–7)] = 2^(20+7) = 2^27

Following are the solution to the given expression:

Given:

[tex]\to \frac{[(2^{10})^3 \times (2^{-10})]}{2^{-7}}[/tex]

To find:

value=?

Solution:

[tex]\to \frac{[(2^{10})^3 \times (2^{-10})]}{2^{-7}}[/tex]

Using formula:

[tex]\to (A^a)^b = A^{ab}\\\\\to A^a \div A^b = A^{(a - b)}[/tex]

Solve the equation:

[tex]\to \frac{[(2^{30}) \times (2^{-10})]}{2^{-7}} \\\\\to \frac{(2^{30})}{2^{-7}} \times \frac{(2^{-10})}{2^{-7}} \\\\ \to \frac{(2^{30})}{2^{-7}} \times \frac{(2^{-10})}{2^{-7}} \\\\\to (2^{30 - (-7)}) \times (2^{-10- (-7)}) \\\\\to 2^{37} \times 2^{-3} \\\\\to 2^{37 -3} \\\\\to 2^{34} \\\\[/tex]

Therefore, the final answer is "[tex]\bold{2^{34}}[/tex]".

Learn more:

brainly.com/question/1294040

Answer:

2.50

Step-by-step explanation:

You just divide 30 by 12... and that will give you the cost of one battery.

Answer:

Soln,

32°+a=90°[right angled triangle]

or,a=90°-32°

or,a=58°

•°•a=58°

The measure of the missing angle is, a = 58 degree

Used the concept of complementary angle that states,

The sum of complementary angles is always equal to 90 degrees.

Given that,

There are two angles shown in the image.

From the given image,

Angle a and 32 are complementary angles.

Hence,

a + 32° = 90°

a = 90° -32°

Therefore, the missing angle is,

a = 58 degree

To learn more about the angle visit:;

https://brainly.com/question/25716982

#SPJ6

Answer:

13,5,12 inches hope this helps

Step-by-step explanation:

Answer:

W’(5, 3)

Step-by-step explanation:

edg its d

Answer:

the correct answer is d

Step-by-step explanation:

Answer:

372.5 miles

Step-by-step explanation:

First, find how many miles she traveled at 65 mph:

65(2.5)

= 162.5

Then, find how many she traveled at 60 mph:

60(3.5)

= 210

Add these together:

162.5 + 210

= 372.5

So, Ella traveled 372.5 miles in total

Answer:

Step-by-step explanation:

a) set up the variables

Let x represent the first number Then  y will represent the second number.

b) What is the equation that represents the above situation?

c) Solve the equation.

Substitute x in the second equation and solve for y:

Then find x

Answer:

[tex]\tt{34~and ~17 }[/tex]

Step-by-step explanation:

let the first number is =x

second number is =y

The sum of two numbers is 51 =x+y=51•••{1}

the greater number is twice the smaller number= x=2y••••••••{2}

According to the question,

[tex]\bold{ x+y=51 }[/tex]

[tex]\bold{2y+y=51 }[/tex] [tex]\because{ (x=2y ) }[/tex]

[tex]\bold{ 3y=51 }[/tex]

[tex]\bold{ y=\dfrac{51}{3} }[/tex]

[tex]\boxed{\blue{y=17 } }[/tex]

NOW put the value y in equation {2}

we get that,

[tex]\bold{ x=2×17 }[/tex]

[tex]\bold{ x=34 }[/tex]

are they being multiplied or added or subtracted?

Answer:

(3, -1)

Step-by-step explanation:

3x +y = 8

-3x   =-3x

Y=-3x +8 Substitute into 1st equation           y=-3x+8

2x-7(8-3x+8)= 13                                                 -3(3) + 8

2x-56+21x= 13                                                       -9 +8

23x-56 =13                                                        y = -1    

     +56= +56

23x   =      69

23             23

   x = 3

solution (3, -1)

your answer is provided in the above image

A) £3264000.

. £1000 increased by 5000% =£51,000

. £51,000×64=£3264000

B) £6528000

. £2000 increased by 5000% =£102,000

. £102,000×64=£6528000

Step-by-step explanation

Answer:

Step-by-step explanation:

Exponential Functions:

         y=ab^x

a=starting value=570

  r=rate=18%=0.18

Exponential Decay:

b = 1 - r = 1 - 0.18 = 0.82

Write Exponential Function:                             put it all together

y=570(0.82)^13

Plug in time for x:

y=570(0.82)^13

y=43.197134                                                       evaluate

ANSWER: y≈43.2                                              round

Answer:

A) - 7

slope -intercept form       y =  - 3x - 7

slope m =-3 and y - intercept c = -7

Step-by-step explanation:

Explanation:-

Given that slope 'm' = -3 and point (0,-7)

The equation of the straight line passing through the point and having slope 'm'

y - y₁ = m ( x- x₁)

The equation of the straight line passing through the point ( 0,-7) and slope m = -3

y - (-7) = -3 ( x -0)

y +7 = -3x

3x +y + 7=0

The equation of the line 3x +y + 7=0

Final answer:-                                        

slope -intercept form      y =  - 3x - 7

slope m =-3 and y - intercept c = -7

Answer:

f(x)=(x-4)^2-20

Step-by-step explanation:

hope this helps!

Answer:

5x-5

Step-by-step explanation:

Just use distribuative property

Answer:

Levi would have to pay $94 if he bought all 5 kids movie tickets and 6 snacks for everyone to share (god that's a lot of money for a movie)

Step-by-step explanation:

Answer:

(x - 6)² - 17

Step-by-step explanation:

Given

x² - 12x + 19

Using the method of completing the square

add/ subtract ( half the coefficient of the x- term )² to x² - 12x

= x² + 2(- 6)x + 36 - 36 + 19

= (x - 6)² - 17

Answer:

x = 5

Step-by-step explanation:

Step 1: Subtract 3x from both sides.

x+4−3x=3x−6−3x

−2x+4=−6

Step 2: Subtract 4 from both sides.

−2x+4−4=−6−4

−2x=−10

Step 3: Divide both sides by -2.

−2x /−2 = −10 /−2

x = 5

Answer:

Step-by-step explanation:

Answer:

-2u-9

Step-by-step explanation:

Simplify

3(u-3)-5u

first, distribute

3u-9-5u

-2u-9

Answer:

B

Step-by-step explanation:

Answer:

0.375

Step-by-step explanation:

Given that there is 50% chance of having a boy in a single birth.

Let it be represented by p, so

p=50%=0.5

According to Bernoulli's theorem, the probability of exactly r success in n trials is

[tex]P(r)=\binom {n}{ r} p^r(1-p)^{n-r}[/tex]

where p is the probability of success.

So, the probability of exactly 2 boys (success) in a total of 3 birth (trials) is

[tex]P(r=2)=\binom {3}{ 2} p^2(1-p)^{3-2}[/tex]

As p=0.5, so

[tex]P(r=2)=\binom {3}{ 2} (0.5)^2(1-0.5)^{3-2} \\\\=\binom {3}{2} (0.5)^2(0.5)^{1} \\\\=3\times 0.5^3[/tex]

=0.375

Hence, the probability of exactly 2 boys in a total of 3 birth is 0.375.

Answer:

x = 4/7 or 0.571428571

Step-by-step explanation: