What’s the y-intercept of the line?
A.1
B.(0,1)
C.(0,-1/2)
D. 1/2

Answer:

The sum of the first 8 terms will be:

Step-by-step explanation:

Given the sequence

[tex]36, 30, 25, ...[/tex]

A geometric sequence has a constant ratio and is defined by

[tex]a_n=a_0\cdot r^{n-1}[/tex]

computing the common ratio

[tex]\frac{30}{36}=\frac{5}{6},\:\quad \frac{25}{30}=\frac{5}{6}[/tex]

[tex]r=\frac{5}{6}[/tex]

As the first element is

[tex]a_1=36[/tex]

so the nth term will be:

[tex]a_n=a_0\cdot r^{n-1}[/tex]

[tex]a_n=36\left(\frac{5}{6}\right)^{n-1}[/tex]

Geometric sequence sum formula

[tex]a_1\frac{1-r^n}{1-r}[/tex]

Plugin the values to determine the sum of the first 8 terms

[tex]n=8,\:\spacea_1=36,\:\spacer=\frac{5}{6}[/tex]

[tex]=36\cdot \frac{1-\left(\frac{5}{6}\right)^8}{1-\frac{5}{6}}[/tex]

[tex]=\frac{\left(1-\left(\frac{5}{6}\right)^8\right)\cdot \:36}{1-\frac{5}{6}}[/tex]    

[tex]=\frac{36\left(-\left(\frac{5}{6}\right)^8+1\right)}{\frac{1}{6}}[/tex]

[tex]=\frac{36\left(-\frac{390625}{1679616}+1\right)}{\frac{1}{6}}[/tex]

[tex]=\frac{\left(1-\frac{390625}{1679616}\right)\cdot \:36\cdot \:6}{1}[/tex]

[tex]=\frac{216\left(-\frac{390625}{1679616}+1\right)}{1}[/tex]

[tex]=\frac{216\cdot \frac{1288991}{1679616}}{1}[/tex]

[tex]=216\cdot \frac{1288991}{1679616}[/tex]

[tex]=\frac{1288991\cdot \:216}{1679616}[/tex]

[tex]=\frac{278422056}{1679616}[/tex]

[tex]=\frac{1288991}{7776}[/tex]

 Therefore, the sum of the first 8 terms will be:

Answer:

3m

Step-by-step explanation:

Answer:

Convert the following:

(a) 300 cm into metre

3 metres

Answer:

x = 14

A = 38

B = 71

C = 71

Step-by-step explanation:

Since we have a triangle, the addition of the measure of all the measure of the angles give 180

Thus;

3x-4 + 5x + 1 + 7x-27 = 180

15x-30 = 180

15x = 180 + 30

15x = 210

x = 210/15

x = 14

To get the measure of each of the angles, we substitute for x

A = 3x-4 = 3(14) - 4 = 38

B = 5x + 1 = 5(14) + 1 = 70 + 1 = 71

C = 7x - 27 = 7(14) - 27 = 98-27 = 71

Answer:

Step-by-step explanation:

ASA

Answer:

about 2.8%

Step-by-step explanation:

Answer:

Since I don't know the statements, I'm gonna guess that if there is 7/8 snow in 1/2 hour then in 2 hours there is 3.5 inches of snow or 28/8 inches of snow in 2 hours.

Step-by-step explanation:

Answer:

Significant figures are the number of digits in a value, often a measurement, that contribute to the degree of accuracy of the value. We start counting significant figures at the first non-zero digit.

Step-by-step explanation:

Answer:

1. slope is 1/2

2. slope is 1/3

3. slope is 2/3

4. slope is 3

5. y=3x-2

Step-by-step explanation:

Answer:

5

230

3

0

3

Step-by-step explanation:

1)5.2 estimated is 5

2)229.9 estimated is 230

3)37.1 estimated is 3

4)0.0 estimated is 0

5)2.9 estimated is 3

Answer:

√36 = 6

a^2 + b^2 = c^2

6^2 + 6^2 = c^2

36 + 36 = c^2

72 = c^2

√72 = c

2 36

2 18

2 9

3 3

6√2 = c

6√2 = (estimate rounded up, 8.49)

Answer:

The expressions name the same number regardless of the value of x

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Because 3 can become 1 and 2

Answer: 63 children and 88 adults swam at the public pool that​ day.

Step-by-step explanation:

Let x = Number of children

y= Number of adults

As per given , we have

x+y=151            (i)

1.50x+2y=270.50          (ii)

Multiply 2 on both sides of (i)

2x+2y = 302          (iii)

Eliminate (ii) from (iii)

0.5x=31.5

⇒ x = 63   [Divide both sides by 0.5]

Put value of x in (i) , we get

63+y= 151

⇒ y= 151-63 =88

Hence, 63 children and 88 adults swam at the public pool that​ day.

Answer:

BC<MN

Step-by-step explanation:

Answer:

could you explain more?

Step-by-step explanation:

Answer:

A) $77.50

B) 8 tickets

Step-by-step explanation:

A) c(x) = 17.5x - 10

Substitute 5 for x

c(x) = 17.5(5) - 10

Multiply

c(x) = 87.5 - 10

Subtract

c(x) = 77.5

B) 130 is the cost, so substitute 130 for c(x)

130 = 17.5x - 10

Add 10 to each side to move the constants to one side

140 = 17.5x

Divide each side by 17.5 to isolate the variable

8 = x

Answer:

1S=4H

Step-by-step explanation

Answer:

The price was $391.30.

Step-by-step explanation:

We can answer this using algebra:-

Let the original price be $x, then:

x + 15% of x = 450

x + 0.15x = 450

1.15x = 450

x = 450/1.15

x = 391.304

i have less sympathy for ur crying when you copy and paste this question and ask it again three times. why dont you just ask it once? everyone answers anyway

Answer:

46

x=46 degrees

Answer:

AB = 15

m∠A = 53.1°

m∠B = 36.9°

Step-by-step explanation:

From the picture attached,

By Applying Pythagoras theorem,

AB² = AC² + BC²

AB² = 9² + (12)²

AB² = 81 + 144

AB = √225

AB = 15

tan(B) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

          = [tex]\frac{12}{9}[/tex]

          = 1.3333

B = [tex]\text{tan}^{-1}(1.3333)[/tex]

   = 53.13

   ≈ 53.1°

Since, m∠A + m∠B + m∠C = 180°

m∠A + 53.1° + 90° = 180°

m∠A = 180°- 143.1°

        = 36.9°

Answer:

AB = 15

m∠A = 53.1°

m∠B = 36.9°

Answer:

25

Step-by-step explanation:

Since it is a rhombus all the parallel lines are always divided by half at the intersection. Basically divide 50 by 2 because QN=50 and QS is half of that

Answer:

2.5

Step-by-step explanation:

she has buys 3 shirts for 8.50 which = 25.5

then she buys 2 pair of pants for $22 because 2 x 11=22

so then 22 + 25.5 = 47.50

50.00- 47.50= 2.50

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

The line goes up 2 units and right 3 units.

Answer:

the slope is 6/7

Step-by-step explanation:

Answer:

6dollars

Step-by-step explanation:

Answer:

the answer is B 6 dollars

Step-by-step explanation:

It is a trinomial because it follows the pattern of x^2 + bx + c. In this case, x^2 - 10x + 25. Also, it only has three numbers and two operation symbols, signifying a trinomial (three = tri).

Answer:

l = 140 yards , w = 85 yards

Step-by-step explanation:

1). l = 135 yards , w = 90 yards

P = 2 × 135 + 2 × 90 = 450 yards

A = 135 × 90 = 12,150 yards²

2). l = 140 yards , w = 85 yards

P = 2(140 + 85) = 450 yards

A = 140 × 85 = 11,900 yards²

Answer:

width= 100 yards

length= 125 yards

Step-by-step explanation:

I think.