Question is below in photo

Answer:

decimal form: 0.0357

fraction form: 375/10000

Step-by-step explanation:

Answer:

61 units

Step-by-step explanation:

Answer:

Option 2: 1 + 1/2 + 1/4 + 1/8+...

Step-by-step explanation:

When a geometric series converges, it has a common ratio that is in between -1 and 1. We can start by finding the common ratios of all the options and then see which one converges.

In the first option, each term is 3 times the term before it, meaning it has a ratio of 3. 3 does not fit in the range we defined, so this series does not converge.

In the second option, each term is half the term before it. This means the common ratio is 1/2. 1/2 is in the range, so this series converges.

In the third option, we can see that the common ratio is -4 since it is the number being brought to a power. -4 does not fit in the range we defined, so this series does not converge.

In the fourth option, we can see the common ratio is 2 since it is the number you multiply by tone more time to get the next term. 2 does not fit in the range we defined, so this series does not converge.

From this, we can see the second option(1 + 1/2 + 1/4 + 1/8+...) is the solution.

The geometric series [tex]1+\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{1}{8}[/tex] converges by the rule of convergence. Thus, the option [tex]2[/tex]  from the given options is correct.

     When a geometric series converges, it has a common ratio that is in between [tex]-1[/tex] and [tex]1[/tex].

The convergence of the geometric series depends on the common ratio [tex]r[/tex]. When [tex]r[/tex]>1, then the series diverges.When [tex]r[/tex]<1, then the series converges, and when [tex]r[/tex] = 1, then the series oscillates.

The common ratio [tex]r[/tex] of the series  [tex]\dfrac{1}{81} +\dfrac{1}{27} +\dfrac{1}{9} +\dfrac{1}{3}[/tex]  is greater than [tex]1.[/tex] So, the series diverges.

For the series, [tex]1+\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{1}{8}[/tex] , the common ratio  [tex]r[/tex] is  [tex]\dfrac{1}{2}[/tex], which is less than [tex]1[/tex] . So, the series converges.

For the series, [tex]\sum 7(-4)^n[/tex] , here the common ratio is [tex]-4[/tex]  which does not lie in the range of convergence. Thus the given series is not convergent.

For the series,[tex]\sum \dfrac{1}{5}(2)^{n-1}[/tex] the common ratio is 2.  So, the series is not convergent.

The geometric series is [tex]1+\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{1}{8}[/tex].

Learn more about geometric series here:

https://brainly.com/question/21087466

#SPJ6

Answer:

20 use https://www.calculator.net/triangle-calculator.html

Step-by-step explanation:

Acute Isosceles Triangle

Side a = 1

Side b = 1

Side c = 0.51764

Angle ∠A = 75° = 1.309 rad = 5/12π

Angle ∠B = 75° = 1.309 rad = 5/12π

Angle ∠C = 30° = 0.5236 rad = π/6

C=30°B=75°A=75°b=1a=1c=0.518

Area = 0.25

Perimeter p = 2.51764

Semiperimeter s = 1.25882

Height ha = 0.5  

Height hb = 0.5

Height hc = 0.96593

Median ma = 0.61966  

Median mb = 0.61966

Median mc = 0.96593

Inradius r = 0.1986  

Circumradius R = 0.51764  

Vertex coordinates: A[0, 0] B[0.51764, 0] C[0.25882, 0.96593]

Centroid: [0.25882, 0.32198]

Inscribed Circle Center: [0.25882, 0.1986]

Circumscribed Circle Center: [0.25882, 0.44829]

+ Show Calculation Steps

Answer:

5. 12, 6. 14, 7. 36, 8. 17, 9. 8, 10. 24

Step-by-step explanation:

If you mirror the graph along the x axis and it lies on itself ( mirror image) it is even, if not it is odd.

If you mirror the top graph the high/ low points would be opposite so the top graph is odd

The bottoms graph can be mirrored so the bottom graph is even.

Answer:

By using the formula of;

A² + B² = C²

Where A and B could be either of the 2 legs and C always have to be the hypotenuse of the right triangle. Hypotenuse is the longest leg of the triangle is the leg that's opposite to the right angle of the right triangle.

Hope this helps! I have attached a diagram for u to help you understand:

Answer:

d) $7.82

Step-by-step explanation:

just multiply the 2 numbers

Answer:

4

Step-by-step explanation:

Answer: 2π ft^2

Step-by-step explanation:

Area of a circle= π x the radius ^2

here your diameter is 4, and the radius is equivalent to half of the diameter so your radius equals 2.

A= π x 2^2

Answer:

Day 1- 24

Day 2- 48

Day 3- 96

Day 4- 192

Day 5- 384

Step-by-step explanation:

384, or C.

Answer:

15 ° is correct answer

Pressure is defined as the force applied perpendicular to an object's surface per unit area across which that force is dispersed. The correct option is A.

Pressure is defined as the force applied perpendicular to an object's surface per unit area across which that force is dispersed.

The density of water is equal to 997 kg/m³, while the acceleration due to gravity is 9.81 m/s², also, given the depth of the water is 4 feet(1.2192 meters). Therefore, the pressure on the bottom of a water tank filled to a depth of 4 feet is,

Pressure = ρ × g × H = 997 × 9.81 × 1.2192 = 11924.47 N/m²

Now, If we convert the pressure from N/m² to psi, then we have to divide 11924.47 N/m² by 6895, therefore, the pressure will be,

Pressure = 11924.47 N/m² / 6895 = 1.729 psi ≈ 1.73 psi

Hence, the correct option is A.

Learn more about the Pressure:

https://brainly.com/question/15175692

#SPJ1

Answer:

y=-x+8

Step-by-step explanation:

Slope = (y₂-y₁)/(x₂-x₁) = (1-8)/(7-0) = -7/7 = -1

Y-intercept = (0,8)

Therefore, the equation of the trend line is y=-x+8

Answer:

I think it's A but I'm not sure

Answer: B

Step-by-step explanation: The line crosses the Y axis at 3

Answer:

The answer is A

Step-by-step explanation:

I got it  right on the test.

Answer:

Multiply using the distributive property which will give you the answer 2x + 2.

Step-by-step explanation:

Answer:

2x + 1

Step-by-step explanation:

2 * (x + 1) |

              \/

           2x + 1

Answer

A few ways we could stop racism against black people in this country is to stop the perpepuation of black stereotypes in media. Such as the loud, aggressive black man, or the rude, catty black woman. It causes a harmful view on black people and can result in racial profiling. Another way to combat this racism is to fight off systemic racism. Black people who have unique names, usually African names, are more likely to get turned down for a job when they turn in their resume to an establishment. This is because they automatically assume that they'll be trouble, and won't be a good worker.

Step-by-step explanation:

I m not sure either u have written (-2).. ans is (3,-2)

Answer:

(3, 2 )

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y ) , then

(3, - 2 ) → (3, 2 )

More than 6% .   I don't know exactly how much, but I know it's more than 6% .  Hope that helps..                                                                                                                                                                                                                                        

Answer:

2038.51

Step-by-step explanation:

Compound interest formula:

[tex]FV=PV(1+\frac{i}{n})^{n*t}\\2229=PV(1+\frac{.03}{2})^{2*3}\\2229=PV(1.093443264)\\2037.514547=PV[/tex]

Answer:

2nt one

Step-by-step explanation:

Answer:

Step-by-step explanation:

(x-1)²+(y-2)² =4 compare the given equation with the general one

(x-h)² +(y-k)² =r², where (h, k) are coordinates of the center and r is radius

so center is at ( 1, 2) and radius is 2

Answer:

football is better

Step-by-step explanation:

football is better

Cevap: Yapılması zor olan

ẞaşarılar dilerim

Answer:

(4*b*b*b*b)*(4*b*b*b*b)

9514 1404 393

Answer:

  10.  A) 120°

  11.  D) 40°

  12.  D) 54°

  13.  A) 101°

Step-by-step explanation:

The applicable rules of angles and arcs are ...

__

10) Angles C and L intercept the same arc (DE) so will have the same measure.

  15x = 16x -4

  4 = x . . . . . . . . add 4-15x

  arc DE = 2(15x) = 30(4) = 120 . . . degrees

__

11) Arc VW is twice the measure of angle X, so ...

  9x +8 = 2(5x)

  8 = x . . . . . . . . . subtract 9x

  ∠VXW = 5x = 5(8) = 40 . . . degrees

__

12) Arc EFG is twice the measure of angle W, so ...

  70° +FG = 2(88°)

  FG = 106° . . . . . . . . . subtract 70°

Arc FGW is twice the measure of angle E, so ...

  106° +GW = 2(80°)

  GW = 54° . . . . . . . . . . subtract 106°

__

13) Arc ST is twice the measure of angle R. The sum of arcs is 360°.

  RS +ST +TR = 360°

  119° +2(70°) +TR = 360°

  TR = 101° . . . . . . . . subtract 259°

Answer:

hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

Answer:

30, 000 Nm

Step-by-step explanation:

F = mg = 5000 N

h = 6 m

Work done

W = mgh = 5000*6= 30, 000 Nm

Answer:

30000 nm

Step-by-step explanation: