What is the recursive formula for this arithmetic sequence?
-4, 3, 10, 17, ...
O A. (2= -4
Tan = 8-1-7
O B.
(a = 17
lan = an-1-7
= -4
O C.
la,
= 2n-1 +7
= 17
O D.
1 an = 2n-1 +7

Answer:

The average speed for his journey from York to Blackpool is 61.4 KM/H

Step-by-step explanation:

Answer:

x= -2

Step-by-step explanation:

1.5(2x-4)=2(4x+2)

3x-6=8x+4

-5x=10

x= -2

Answer:

-9 + 4 = 4 - 9 = -5

-5 + 8 = 8 - 5 = 3

3 is the answer

Step-by-step explanation:

8+[4+(-9)]

-9 + 4 = 4 - 9 = -5

-5 + 8 = 8 - 5 = 3

3 is the final answer.

Step-by-step explanation:

x²-11x+32=4

x²-11x+28=0

(x-4)(x-7)=0

x=4 or x=7

_______

x²+8x-5=4

x²+8x-9=0

(x+9)(x-1)=0

x=-9 or x=1

_______

x²+x+4=5x+1

x²-4x+3=0

(x-1)(x-3)=0

x=1 or x=3

________

x²+x-24=-8x-2

x²+9x-22=0

(x+11)(x-2)=0

x=-11 or x=2

Answer:

561

Step-by-step explanation:

an = dn - (a-d)

The difference is 3.

The first term is 12.

an = 3n - (12-3)

an = 3n - 9

Put n as 1, 2, 3, 4, 5 ....22.

3(1) - 9 = -6

3(2) - 9 = -3

3(3) - 9 = 0

3(4) - 9 = 3

3(5) - 9 = 6

...

3(22) - 9 = 57

Add the first 22 terms.

-6+-3+0+3+6+9+12+15+18+21+24+27+30+33+36+39+42+45+48+51+54+57

= 561

Answer:

the mean for the data set is 129.3

Answer:

Area of rectangle = H × B

Area of rectangle = 10(H)

Step-by-step explanation:

Given:

Base (B) = 10

Height = H

Find:

Area of rectangle

Computation:

Area of rectangle = Height × Base

Area of rectangle = H × B

So,

Area of rectangle = H × B              [Base (B) = 10]

⇒ Area of rectangle = H × 10

⇒ Area of rectangle = 10(H)

Answer:

The expression that represents the area of this rectangle is 8b

When b = 10, the area of the rectangle is 80 square units.

Step-by-step explanation:

The rectangle’s base is b units, and its height is 8 units. The area of the rectangle is the product of its base and height, which is 8b.

To find the area of the rectangle when b = 10, substitute 10 for b in the expression:

8b= 8(10)

    =80

Answer:

The answer would be letter B. This is because the problem wants you to find the equation that is not necessarily true. In this case G'G does not equal 8 units.

Answer:

Step-by-step explanation:

160 = 2 × 2 × 2 × 2 × 2 × 5

Hope this helps

plz mark it as brainliest!!!!!!!!!!

The number 160 as a product of prime factors is 160 = 2 × 2 × 2 × 2 × 2 × 5

A numeral system is a way of writing numbers; it's a way of mathematically notating a collection of numbers by utilizing a consistent set of digits or other symbols. In several numeral systems, the same set of symbols may represent various numbers.

A prime number factor is any prime number that can be multiplied by the original number to get the factor.

The prime factors of the numbers will be:-

160 = 2 × 2 × 2 × 2 × 2 × 5

Therefore, the number 160 as a product of prime factors is 160 = 2 × 2 × 2 × 2 × 2 × 5.

To know more about prime factors follow

https://brainly.com/question/18187355

#SPJ2

Answer:

[tex]144\pi in^2[/tex]

Step-by-step explanation:

Given

Shape: Circe

Radius = 6 inches

Required

What is the surface area of a sphere when the circle

When a circle is rotated about its diameter, the resulting sphere maintains the same radius and diameter as the circle, before rotation;

This implies that

Radius [of sphere] = 6 inches

[tex]Surfare\ Area = 4\pi r^2[/tex]

Substitute 6 for r

[tex]Surfare\ Area = 4\pi* 6^2[/tex]

[tex]Surfare\ Area = 4\pi* 6 * 6[/tex]

[tex]Surfare\ Area = 4\pi*36[/tex]

[tex]Surfare\ Area = 144\pi[/tex]

Hence, the surface area of the resulting sphere is 144 pi inches square

Answer:

given,

base (b) = 2.25cm

height (h) = 1.5 cm

now,

area (a) = b×h

or, a=2.25cm×1.5cm

therefore the area of parallelogram is 3.375cm^2.

hope it helps..

Answer:3.375 cm²

Step-by-step explanation:

Find the area of the following

parallelogram:

1.5 cm

2.25 cm

Solution:

(1.5×2.25)cm²

= 3.375 cm²

Hope it helps

Answer:

1/6

Step-by-step explanation:

An experimental probability is the number of times an event occurred when actually attempted.

So, if Jo does the experiment 60 times and receives 50 unpainted balls, then calculate how many painted balls she got:

60-50 = 10.

So, the probability of picking a painted ball = 10/60 = 1/6

Hope this helps

Answer: y = (5)(2)x-10

Step-by-step explanation:

Answer:

Step-by-step explanation:

The number of sets that can be generated from the given set is determined by calculating the power of the set. Power of a set is expressed as 2ⁿ where:

n represents the number of elements in the set.

Given the set S = {0,1,2,3,4,5,6,7,8,9}.

n(S) = 10

The Power of the set = 2^n(S)

Power of the set = 2^10 = 1,024

This means that 1,024 different sets can be formed from the given set including the empty set.

Answer:

NO

Step-by-step explanation:

IMAGE

Answer:

The number of different platters Selena can create by selecting two different vegetables is 60 different platters

Step-by-step explanation:

The information given are;

The number of different sizes of salad available = 4

The number of different vegetable to choose from = 6

The number of vegetables Selena ordered = 2

The number of ways Selena can choose 2 vegetables out of 6 = ₆C₂ = 15 ways

The number of different platters (choice of vegetable and size of platter) Selena can create = The number of different sizes of salad available × The number of ways Selena can choose the vegetables

The number of different platters (choice of vegetable and size of platter) Selena can create = 4 × 15 = 60 different platters.

Answer:

We have 6y² + 13y - 8. We can rewrite this as 6x² + 16x - 3x - 8. Grouping terms we get 2x(3x + 8) - (3x + 8) and since both terms have the common factor of (3x + 8) the answer is (3x + 8)(2x - 1).

Answer:

false

Step-by-step explanation:

the constant term is 3 not 8

hope this helps

Answer:

C

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Given (h, k ) = (5, - 3 ), then

y = a(x - 5)² - 3 and with a = - 3, then

y = - 3(x - 5)² - 3 ← is a possible equation

Answer: 2077

There are 31 terms.

S₃₁ = 31(a₁+a₃₁)/2 = 31(7+127)/2 = 2077

Answer:

-3/2

Step-by-step explanation:

Let x be the missing number

Answer:  proof below

Step-by-step explanation:

Use the Difference formula for sin:

  sin (A - B) = sin(A)·cos(B) - cos(A)·sin(B)

sin (180° - θ) = sin(180°)·cos(θ) - cos(180°)·sin(θ)

                    =       0  · cos(θ)    -      -1  · sin(θ)

                    =              0           -           -sin(θ)

                    =                         + sin(θ)

sin (180° - θ) = sin(θ)  [tex]\checkmark[/tex]

Answer: $70 per hour

Step-by-step explanation:

Hi, to answer this question we have to calculate the hourly fee.

To do this, we simply have to divide the 5 hour fee price (350) by the number of hours worked.(5):

Mathematically speaking:

350/5 = $70 per hour

So, since the work fee is proportional, for x hours, the expression is:

70x

Feel free to ask for more if needed or if you did not understand something.

Answer: (-2,1)

Step-by-step explanation:

y=x+3  

y=2x+5  substitute  the y value in the first equation into the second equation

x+3 = 2x+5  now solve for x

   -3        -3

x = 2x +2   subtract 2x from both sides

-2x   -2x

-1x = 2       Divide both sides by -1

x= -2  

The value of x is -2 to plot it into one of the equations to solve for y.

y= -2 + 3

y = 1  

(-2,1)

Answer: x = − 2  and y = 1

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

/| y-x-3 = 0| y-(2*x)-5 = 0

We try to solve the equation: y-x-3 = 0

y-x-3 = 0 // + -x-3

y = -(-x-3)

y = x+3

We insert the solution into one of the initial equations of our system of equations

We get a system of equations:

/| x-(2*x)-5+3 = 0| y = x+3

-x-2 = 0 // + 2

-x = 2 // * -1

x = -2

We insert the solution into one of the initial equations of our system of equations

For y = x+3:  

y = 3-2

y = 1

We get a system of equations:

/| y = 1| x = -2

Answer:

39600

Step-by-step explanation:

8! - 3!(5!)

Evaluate.

40320 - 6(120)

40320 - 720

= 39600

Answer: 39600

Step-by-step explanation:

8!=40320

3!=6

5!=120

40320 - 6(120)

120*6=720

40320 - 720

= 39600

Answer:

A = 4, B = 3, C = 7, D = 6

Step-by-step explanation:

A = 4 because A represents the number of people who didn't visit either place. This means that B + C + D = 20 - 4 = 16. To find C, which is the overlap we can do 10 + 13 - 16 = 7 so C = 7 which means B = 10 - 7 = 3 and D = 13 - 7 = 6.

Answer:

A = 4, B = 3, C = 7, D = 6

Step-by-step explanation:

Hey there! :)

Answer:

m∠y = 55°.

Step-by-step explanation:

Begin by solving for x since y and x are supplementary angles.

Recall that all of the angles in a triangle must sum up to 180°. Therefore:

180 - 30 - 25 = 125°.

x = 125°, therefore:

180 - 125 = 55°.

m∠y = 55°.

Answer:

55 Degrees

Step-by-step explanation:

The remote interior angle theorem states that to find the value of and exterior angle (y) you need to add the two remote interior angles. (25&30)

Answer:

£60

Step-by-step explanation:

Let the original cost be x.

x × (1 - 20%) = 48

0.8x = 48

x = 48/0.8

x = 60

The original cost was £60 before the sale.

Answer:

£57.60

Step-by-step explanation:

find 20% of £48, which is £9.60

then add that to £48, which will give you the answer of £57.60