I will give brainliest please help.

Answer:

The sum of the first 47 terms of the series, 12, 16, 20, ... S₄₈ is 4,888

Step-by-step explanation:

The given series is;

12, 16, 20, ...,

Therefore, the first term of the series is, a = 12

The common difference of series is found as follows;

The difference between subsequent terms, 12 and 16 is  16 - 12 = 4

The difference between subsequent terms, 16, and 20 is  20 - 16 = 4

Therefore, the common difference, d = 4

The series is therefore an arithmetic projection, AP

The sum of the first 'n' terms of an AP, Sₙ, is given as follows;

[tex]S_n = \dfrac{n}{2} \cdot \left [2 \cdot a + (n - 1)\cdot d \right ][/tex]

(47/2)*(2*12+(47-1)*4)

The sum of the first 47 terms is therefore given as follows;

[tex]S_n = \dfrac{47}{2} \cdot \left [2 \times 12 + (47 - 1)\times 4 \right ] = 4,888[/tex]

The sum of the first 47 terms of the series, 12, 16, 20, ... S₄₈ = 4,888

Answer:

The equation representing the situation is;

36 = 3·y + 4·x

Step-by-step explanation:

The structures the gardener is planning to build = Equally-sized sections of flower bed

The length of wood the gardener has to surround both gardens = 36 feet

The perimeter of the entire garden, P = 2·y + 2 × 2·x

The length of the wood separating the two gardens = The length of the side 'y'

The perimeter of the garden and the length of the fence separating the two gardens = P + y = 2·y + 2 × 2·x + y = 3·y + 4·x

Therefore the length of wood available, 36 feet, will be used for a length equivalent to P + y

∴ 36 = P + y = 3·y + 4·x

∴ 36 = 3·y + 4·x

The equation representing the situation is 36 = 3·y + 4·x.

Answer:

x=3 + y=3 =6

Step-by-step explanation:

first you have to find out what can equal 6 and 3 plus 3 equals 6 so that's  your answer

Answer:

See table below

Step-by-step explanation:

(0,6) (1,5) (2,4) (3,3) (4,2) (5,1) (6,0)

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 : 2 = 3 : 6

6 parts vinegar

Social Studies is 90

Language Arts is 94

Social Studies : Language Arts

4.5 × 50 = 225 miles

Answer:

its C

Step-by-step explanation:

Answer: C is the correct answer

Step-by-step explanation:

Answer:

z

Step-by-step explanation:

Answer:

Vertex: (5,-4)

Axis of symmetry: x=5

X-intercepts: (3,0) and (7,0)

Y-intercept: (0,21)

Step-by-step explanation:

The vertex would be the tip of the parabola, so the vertex is (5,-4)

The axis of symmetry would be a line cutting a parabola in half indicated by the line x=5

X-intercepts are where a function passes through the x-axis or when y=0, so in this case, the x-intercepts are (3,0) and (7,0)

The y-intercept of a function is where a function passes through the y-axis or when x=0, so our y-intercept is f(0)=0²-10(0)+21=21, or (0,21)

Answer: this makes no sense-

Step-by-step explanation:

Answer: <

6.12 x 10^4 < 612,000

Step-by-step explanation:

Answer:

<

Step-by-step explanation:

because 6.12 × 10^4 = 61,200 and 612,000 is obviously a way bigger number, so greater than symbol is the correct answer.

Answer:

120.7 cm²

Step-by-step explanation:

2( 1 + √2 ) a² = 2( 1+ √2 ) · 5² ≈ 120.7

Answer:

16767

Step-by-step explanation:

Each new term is found by multiplying the previous term by 3.  Thus, 3 is the common ratio.  The formula for this geometric series is therefore

a(n) = 23*3^(n - 1).

The 7th term is a(7) = 23*3^6 = 16767

Answer:

24 feets

Step-by-step explanation:

Area of a trapezium :

A=1/2(b1+b2)h

b1 = 30 ; b2 = 50 ; Area, A = 960ft²

Inputting values into the formula :

960 = 1/2(30 + 50) * h

960 = 1/2(80)h

960 * 2 = 80h

1920 = 80h

Divide both sides by 80

1920 / 80 = 80h / 80

24 = h

Height of backyard = 24 feets

Hi

5x²+x =  x ( 5x +1)

Answer:

(5+1)

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

I think it is D because it's just gas

Step-by-step explanation:

Answer:

Mean 

4

Median 

5

Mode

1, 6

Range

6

Step-by-step explanation:

Salute.

Answer:

thats bustin bustin

Step-by-step explanation:

Answer:

64+67+×=180

×=180‐131

×=49 degree

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Principal (P)= $2,500

Interest rate= 4%

Number of periods= 2 years

First, we will determine the interest earned using the simple interest formula:

I= P*r*t

I= 2,500*0.04*2

I=$200

Now, using the compound interest formula:

I= [P*(1 + r)^t] - P

r= 0.04/2= 0.02 (semi annual interest rate)

t=2*2= 4 semesters

I= [2,500*(1.02^4)] - 2,500

I= $206.08

Answer:

$206.08

Step-by-step explanation:

Answer:

The scale factor is the ratio of the length of a side of one figure to the length of the corresponding side of the other figure.

Step-by-step explanation:

AD is 9 units long

A’D’ is 3 units long.

Scale factor is A’D’ / AD

Scale factor = 3/9 = 1/3

Answer:

Its the first one

Two or more terms in a variable expression that have the same variable factors

Step-by-step explanation:

Answer:

7 cups of sugar

Step-by-step explanation:

Find out how many pies Luca need to bake left =

45 - 17 = 28

1 cup of sugar = 4 pies

28 ÷ 4 = 7 cups of sugar

This may be wrong as this was rushed as I have to go for my next class now.

Answer:

1)  θ = 130°

2)  θ = 310°

Step-by-step explanation:

We want to find a value of θ such that:

sin(θ) = sin(50°)

We know that sin(90°) = 1

We will have a symmetry around 90°.

Then if we define a constant k

sin(90° + k) = sin(90° - k)

we can define k such that:

90° - k = 50°

90° - 50° = k

40° = k

Then:

sin(90° + 40°) = sin(90° - 40°)

sin(130°) = sin(50°)

then θ = 130°

Now we want to find:

cos(θ) = cos(50°)

We know that cos(0°) = 1

Then we have symmetry around 0°

With the same reasoning than before, we can write:

cos( 0° + k) = cos(0° - k)

We can define:

0° + k = 50°

k = 50°

Then:

cos(50°) = cos(-50°)

But we want  0° < θ < 360°

Knowing that the peridisity of the trigonometric functions is of 360° then:

cos(50°) = cos(-50°) = cos( - 50° + 360°)

cos(50°) = cos(310°)

in this case θ = 310°