Use the geometric series 5^Ž (8)*-* to answer each question.
n=1
What are the terms in the series?
1 + 8 + ___+ ____+ ____

Answer:

Step-by-step explanation:

70.699125

Answer: 432 cubes

Step-by-step explanation:

Volume of rectanglular prism

[tex]\\ \rm\Rrightarrow LBH[/tex]

[tex]\\ \rm\Rrightarrow 9(4)\times 1\dfrac{1}{2}[/tex]

[tex]\\ \rm\Rrightarrow 36\times \dfrac{3}{2}[/tex]

[tex]\\ \rm\Rrightarrow 18(3)[/tex]

[tex]\\ \rm\Rrightarrow 54in^3[/tex]

Volume of each cube

[tex]\\ \rm\Rrightarrow side^3[/tex]

[tex]\\ \rm\Rrightarrow (1/2)^3[/tex]

[tex]\\ \rm\Rrightarrow\dfrac{1}{8}in^3[/tex]

Total cubes

[tex]\\ \rm\Rrightarrow \dfrac{Volume\:of\:prism}{volume\:of\:one\:cube}[/tex]

[tex]\\ \rm\Rrightarrow 54\div\dfrac{1}{8}[/tex]

[tex]\\ \rm\Rrightarrow 54(8)[/tex]

[tex]\\ \rm\Rrightarrow 432[/tex]

Answer: um do you need help because I don’t see the question or the picture you are talking about..

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The sum of the initial vector and the final vector needs to be equal to the original vector. If we let B represent the vector taken after discovering the mistake, we must have ...

  wrong vector + B = intended vector

  B = (intended vector) -(wrong vector)

Since the speed is presumed constant, we can write the vectors in terms of hours, not miles. For calculation purposes it is convenient to use bearings measured clockwise from north. West of north will be negative bearing angles for the purpose here. Of course, south is a bearing of 180°, so angles west of south are farther clockwise, hence added to 180°.

  B = 4.5∠-22° -0.5∠202° = 4.87207∠-17.91192° . . . using a suitable calculator

__

a) The new bearing must be N17.91°W

__

b) At the time the error was discovered, the 4.5 hour trip was already 0.5 hours old. Hence the expected additional time is 4.5 -0.5 = 4.0 hours. The actual additional time is 4.872 hours, so the trip will take ...

  4.872 -4.0 ≈ 0.9 . . . hours

longer than originally planned.

_____

Comment on coordinates

Bearings are conventionally rendered as a positive angle in the range 0–360°, measured clockwise from north. Alternatively, they are given (as here) as a positive angle in the range 0–90° east or west from north or south.

Occasionally, you will see bearings expressed as an angle in the range 0–45° from the nearest cardinal direction toward the next-nearest cardinal direction. (For example, E19°S instead of 109° or S71°E.)

Compared to angles measured conventionally on a Cartesian plane, CCW from +x, bearing angles are essentially conventional angles subtracted from 90° (and vice versa). As far as angles are concerned, The Cartesian coordinates are the same as map coordinates if you reflect the map across the line y=x.

Calculators that work with vectors work just fine with bearing distances and angles. You just have to remember that the (a, b) rectangular coordinate pair is (N, E) rather than the usual Cartesian plane (E, N). (East being to the right; North being up.)

Answer:

8 meters by 4 meters

Step-by-step explanation:

2×8 + 2×4 = 16 + 8 = 24,

Answer:

1.25 of a sandwich

Step-by-step explanation:

5/4=1.25

I'm not sure if you have to round it or not, but I think this would be exact!

Hope this helps!

Answer:

oc2

Step-by-step explanation:

because

Answer:

X=2,3

Step-by-step explanation:

Answer:

Sin 2 (30)°=  [tex]\frac{\sqrt{3} }{2}[/tex]

Step-by-step explanation:

Explanation:-

Given that   Sin 2 (30)°

we know that the formula  sin2θ = 2sinθ cosθ

   Given that θ = 30°

   Now  

         sin2(30)° = 2sin30° cos30°

                                             [tex]= 2 ( \frac{1}{2} X \frac{\sqrt{3} }{2} )[/tex]

       After cancellation, we get

                           Sin 2 (30)° = [tex]\frac{\sqrt{3} }{2}[/tex]

Final answer:-

          Sin 2 (30)° = [tex]\frac{\sqrt{3} }{2}[/tex]    

Answer:

It will take 17 years to get a population of 42,800.  (Specifically 17.3)

Step-by-step explanation:

We will use the equation

y = population

x = amount of years

y = 20000(1 + 0.045)^x

20000 is the original population.

(1 + 0.045) is the increase of 4.5% every year

Answer:

that would probably be

Step-by-step explanation:

40

The solution is, D.) 11,115 is the total value of his assets.

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

here, we have,

given that,

Malcolm's net worth is $3,475.

His liabilities are $7,650.

now, we have,

the total value of his assets is:

we just have to add them.

$3,475 + $7,650

=11125

Hence, The solution is, D.) 11,115 is the total value of his assets.

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Answer:

8/12 of the can

Step-by-step explanation:

Make the denominator of both 12. Then 2/3 is 8/12.

Answer:

its A, she used 1/12 of the can

Answer:

[tex]n(A \cup B) = 6[/tex]

Step-by-step explanation:

In Venn sets, we have that:

[tex]n(A \cup B) = n(A) + n(B) - n(A \cap B)[/tex]

In which n is the number of elements that each set contains.

In this question:

[tex]n(A) = 8, n(B) = 9, n(A \cap B) = 6[/tex]

So

[tex]n(A \cup B) = n(A) + n(B) - n(A \cap B) = 8 + 9 - 6 = 17 - 6 = 11[/tex]

So

[tex]n(A \cup B) = 6[/tex]

Answer:

45

Step-by-step explanation:

Find prime factors

9 = 3 x 3

15 = 3 x 5

3 x 3 x 5 = 45

Answer:

Limaçon

Step-by-step explanation:

In geometry, a limaçon or limacon /ˈlɪməsɒn/, also known as a limaçon of Pascal, is defined as a roulette formed by the path of a point fixed to a circle when that circle rolls around the outside of a circle of equal radius.

The name of the shape depicted in the graph below is a. Limacon.

Polar curves are the curves which are formed using the polar coordinate system.

The distance of the points from the origin will be varying depending on the angle from the positive X axis.

The given curves in the option Limacon, Rose, Cardioid, Lemniscate are types of polar curves.

Limacon is the curve which is also known as Pascal's snail. It is formed by following the path by a fixed point to a circle when this circle rolls another circle's of equal radius outside.

The given shape is the limacon with inner loop.

Lemniscate will always be a 8 shaped curve.

Hence the correct option is a, limacon.

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9514 1404 393

Answer:

Step-by-step explanation:

The rectangle in the middle has a width equal to the radius of the semicircular ends, so (20 cm)/2 = 10 cm.

The semicircular ends, together, make a complete circle of radius 10 cm.

The area is the sum of the areas of the parts:

  A = LW = (21 cm)(10 cm) = 210 cm² . . . . . . rectangle area

  A = πr² = π(10 cm)² = 100π cm² ≈ 314 cm² . . . . . circle area

The total area is ...

  210 cm² +314 cm² = 524 cm² . . . . area of the figure

__

The perimeter of the figure is the sum of the lengths of all of the edges. From the left, working clockwise, we have ...

  P = (1/2 circle of diameter 20) + (rectangle top = 21) +(1/2 circle of diameter 20) +(circle radius = 10) +(rectangle bottom = 21) +(circle radius = 10)

The two 1/2 circles add to a whole circle with a circumference of ...

  C = πd = (3.14)(20 cm) = 62.8 cm

Then the whole perimeter is ...

  P = 62.8 cm + 21 cm + 10 cm + 21 cm + 10 cm = 124.8 cm

_____

Note that we have used 3.14 for pi. If you use a more exact value, your answers will be slightly different.

Answer:

please l don't understand

Answer:

Step-by-step explanation:

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Answer:

+4X^5+X^3+2X^2-3

Step-by-step explanation:

Hope this helps :*

9514 1404 393

Answer:

  310 calories (120 from fat)

Step-by-step explanation:

A 12-inch pizza has double the diameter of the 6-inch pizza, so will have 2² = 4 times the area. 1/8 of that pizza will have 4/8 = 1/2 the area of the personal pizza. If calories are proportional to the area, then the slice will have ...

  (1/2)(620 calories) = 310 calories . . . in 1 slice of 12-in pizza

Answer:

160

Step-by-step explanation:

4x5=20.

20×8=160

l×w×h.

Answer:

$28.25

Step-by-step explanation:

$28.25

Answer:

y = 350x

Step-by-step explanation:

To find the equation of the chart, we simply find the slope and then follow the slope-intercept equation.

Points on the chart: (0, 0) and (1.5, 525)

Slope:

m=(y2-y1)/(x2-x1)

m=(525-0)/(1.5-0)

m=525/1.5

m = 350

Slope-intercept:

y - y1 = m(x - x1)

y - 0 = 350(x - 0)

y - 0 = 350x

y = 350x

Answer:

C

Step-by-step explanation:

It is C because 64 to 1/4 power is just 64 divided by 4.

the Equation A. r²+ y² = 5 degenerate the circle.

The circumference, which is the distance around the object, the diameter, which is the length of a circle measured from one end to the other and passing through its center, and the radius, which is equal to half of the diameter, are the three key characteristics.

The general coordinate equation of a circle is:

(x-h)² + (y - k)² = r²

Where,

(h, k) is the center of a circle,

"r" is the radius of the circle.

Only option A, r²+ y² = 5

Satisfies the general equation of the line,

thus, From option A the coordinates of the circle on the plane r-y

is (0, 0) and the radius of the circle will be √5.

From option B,  x+y=7

It is the equation of the line.

From option C, x² + y² = -2

The sum of two squares can not be negative so it is not a real equation

From equation D, (x - 5)²+(y - 3)² = 0

The radius of a circle can not be zero otherwise it will become a point.

therefore, the Equation A. r²+ y² = 5 degenerate the circle.

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Complete question:

Which of the following is a degenerate circle?

O A. r²+ y² = 5

O B. x+y=7

O c. x² + y² = -2

O d. (x - 5)²+(y - 3)² = 0