The table below shows metric units of mass, with the relationship of each unit to 1 gram represented as a power of 10. metric units of mass units power of 10 microgram 10 superscript negative 6 milligram 10 superscript negative 3 centigram 10 superscript negative 2 gram 10 superscript 0 kilogram 10 cubed which statement comparing these measures is true? a microgram is 1,000 times greater than a milligram. a milligram is 10 times greater than a centigram. a centigram is 100 times greater than a microgram. a kilogram is 100,000 times greater than a centigram.

The combined height of the dolls when the tallest of a collection of wooden dolls stands 1 meter tall, and each successive doll is half as tall as the one before it is 2 meters.

Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.

It can be given as,

[tex]S=\dfrac{a(1-r^n)}{1-r}[/tex]

Here, [tex]a_1[/tex] is the first term of the sequence, n is the number of terms, and r is the common ratio.

The tallest of a collection of wooden dolls stands 1 meter tall, and each successive doll is half as tall as the one before it.

The second doll is half of the first doll. Thus, the height of the second doll is,

[tex]a_2=\dfrac{1}{2}\\a_2=0.5\rm\;m[/tex]

Similarly, height of third doll,

[tex]a_3=\dfrac{0.5}{2}\\a_3=0.25\rm\;m[/tex]

Here, we see a pattern or sequence in the height of doll,

1,0.5,0.25......

For this series, the value of first term [tex]a_1[/tex] is 1, the number of dolls n is 8 and common ratio r is 0.5. Put the value in the above formula,

[tex]S=\dfrac{1(1-0.5^8)}{1-0.5}\\S=1.992\\S\approx 2\rm\; meters[/tex]

Thus, the combined height of the dolls when the tallest of a collection of wooden dolls stands 1 meter tall, and each successive doll is half as tall as the one before it is 2 meters.

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Answer:

[tex]8 \frac{1}{25} [/tex]

Step-by-step explanation:

[tex]4 \frac{3}{5} + 3 \frac{11}{25} \\ (4 + 3) + ( \frac{3}{5} + \frac{11}{25} ) \\ 7 + \frac{26}{25 } \\ 7 + 1 \times \frac{1}{25} \\ 8 \frac{1}{25} [/tex]

[tex]4 \frac{3}{5} + 3 \frac{11}{25} [/tex]

the simplest form.

[tex] \frac{23}{5} + \frac{86}{25} [/tex]

[tex] = \frac{(23 \times 25) + (86 \times 5)}{5 \times 25} [/tex]

[tex] = \frac{575 + 430}{125} [/tex]

[tex] = \frac{1005}{125} [/tex]

[tex] = 8 \frac{1}{25} [/tex]

Answer:

5. 2612.5 ≈ $2613

6. 848.4 ≈ $849

Answer:

x = 2/9 or 0.2

Step-by-step explanation:

6 x 2 - 54x = 0

(6x2) = 12

12 - 54x = 0

Rearange the terms

-54x + 12 = 0

subtract 12 from both sides

-54x = -12

Divide both sides by the same factor

-54x/54 = -12/-54

then simplify

x=2/9 or 0.2

Answer:

Step-by-step explanation:

You must solve the slope-intercept form with the graph of the linear function g passing through the points.

Use the slope-intercept form.

[tex]\underline{\text{SLOPE-INTERCEPT FORM:}}[/tex]

[tex]\Longrightarrow: \sf{y=mx+b}[/tex]

Use the slope formula.

[tex]\underline{\text{SLOPE:}}[/tex]

[tex]\Longrightarrow \sf{\dfrac{y_2-y_1}{x_2-x_1} }[/tex]

(-7,-4) and (7,6)

[tex]\sf{\dfrac{6-\left(-4\right)}{7-\left(-7\right)}}[/tex]

Solve.

[tex]\sf{\dfrac{6-\left(-4\right)}{7-\left(-7\right)}=\sf{\dfrac{10}{14}=\dfrac{10\div2}{14\div2}=\dfrac{5}{7} }}[/tex]

I hope this helps. Let me know if you have any questions.

Answer:

The mean would be 4

Step-by-step explanation:

Steps to find the mean.

1. Least to greatest.

2,3,4,4,5,6

2. Add all the numbers.

2+3+4+5+5,6

=24

3. Divided by how many numbers you have.

24÷6

=4

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Answer: It would be 4

Step-by-step explanation: Hope that helps!

Answer:

Step-by-step explanation:
I need more explanation to answer

Answer:

  (a)  85 - (35 x 2) - 6

Step-by-step explanation:

The miles Mr. Richardson has left to drive will be the difference between the distance to his goal and the miles he has alread driven. The relation between distance, speed, and time can be used to find the miles he drove before lunch.

__

  distance = speed × time

  miles before lunch = (35 mi/h) × (2 h) = (35 × 2) mi

The total miles driven before stopping for gas will be ...

  miles before stopping for gas = (miles before lunch) + (6 more miles)

  = 35 ×2 +6 . . . miles

Then the remaining miles are ...

  remaining = trip miles - miles driven

  = 85 -(35 ×2 +6)

  = 85 - (35 ×2) -6 . . . . . miles left to drive

Answer:

She rides 3.7 Miles each day

Step-by-step explanation:

51.8 / 14 = 3.7

518 / 14 = 37 but you put a point inbetween 3 and 7 because the 8 in the original answer is in the tenths.

Answer:

C  and D

Step-by-step explanation:

Use Pythagorean theorem to test

a^2 + b^2 = c^2    ?      a   and b  are the shorter two sides   c = longest side

Doing this for each data set shows   C   and D   ARE rt triangles

Answer:

SA = 54π cm^2

A

Step-by-step explanation:

[tex]{\pi}rs + {\pi} {r}^{2} [/tex]

radius = 3cm

slant height = 15 cm

follow the formula

Answer:

The formula for semicircle area is [tex]\frac{1}{2} \pi r^2[/tex]

Very similar to the formula for finding area of a circle, but since a semicircle is half of a circle, the formula will be revolving around halves.

Answer:

[tex]0.55[/tex]

Step-by-step explanation:

[tex]\displaystyle \sin C=\frac{opposite}{hypotenuse}=\frac{11}{20}=0.55[/tex]

Answer:

Each son received from their mother $287.50

Step-by-step explanation:

3(x - 275) = x - 250

2x = 825 - 250

x = 287.50

$287.50 - $275 = $12.50

Check the answer:

After spending the older son has $12.50  

$287.50 - $250 = $37.50

After spending the younger son has $37.50

$37.50 ÷ $12.50 = 3 times

Answer:

$46.54

Step-by-step explanation:

A=P(1+r/n)^nt

P=220

r=.0325

n=1

t=6

A=266.54

A=P+I

266.54=220+I

I=46.54

Answer:

is it (3,3)

Step-by-step explanation:

(x,y)=(-2+5,1+2)

(x,y)=(3,3)

Answer:

j=12

Step-by-step explanation:

Answer:

4 units left

Step-by-step explanation:

if u look at point C and count the amount of lines it takes to get to its next spot, it us 4 units left

u can tell which shape is the original because it does not have little 1's next to its letters

The given statement is false statment because the line drawn has an inclination of 45°.

Given that,
On a grid, moving from 0,0 to 4,4 makes a line at a 90-degree angle. whether the statement is true or false is to be justified.

A line is a straight curve connecting two points or more showing the shortest distance between the initial and final points.

Here,
According to the question,
Moving from 0,0 to 4,4
Calculating the slope,
m = 4 - 0 / 4 - 0
m = 1
m = tanФ = 1
tanФ = 1
tanФ = tan 45°
Ф = 45°

Thus, the given statement is a false statment because the line drawn has an inclination of 45°.

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Answer:

[tex]2-3x=6x-7\\x=1[/tex]

(There are a lot more combinations tho. Read more!)

Step-by-step explanation:

The first thing to notice is that the answer has to be a whole number and that there are only 5 spaces.

Another thing to notice is that one of the x's is negative.

So the easiest thing is to set [tex]x=1[/tex].

The we can work backwards. There are multiple solutions that we can use. But any combination that adds to the same number will work.

Such as:

[tex]2-3x=6x-7\\x=1[/tex]

or

[tex]2-5x=3x-6\\x=1[/tex]

And so on.

Answer:

6000cm

Step-by-step explanation:

multiply all figures given

Answer:

Quadrant 4

Step-by-step explanation:

The x value is positive so it is either in 1 or 4

The y value is negative so it is either 3 or 4

To meet both conditions, it must be 4

5,870,000,000,000 miles.

The distance light travels in 100 years.

The distance of the light travels in 100 years is:

5,870,000,000,000 × 100 miles.

= 587,000,000,000,000 miles

= 587 × 10^12 miles.

answer= option d

[tex]1 \: year = 5870000000000 \: miles[/tex]

The distance which light can travel in 100 years.

to find the distance which light can travel in 100 years, multiply the distance which light can travel in 1 year (5,870,000,000,000 miles) by 100.

[tex] = 5870000000000 \times 100[/tex]

[tex] = 587000000000000 \: miles[/tex]

[tex] = 587 \times {10}^{12} [/tex]

Hence, the correct answer is option D

Answer: C

Step-by-step explanation:

The area of the larger square is a^2 and the area of the smaller square is b^2, so the area is a^2 + b^2, not (a+b)^2.

Answer:

11-1 equals 10

Step-by-step explanation:

Answer: remove business regulations

Step-by-step explanation:

Answer: I write more than one choice . The book is on the table , desk , bed , chair or shelf.

Step-by-step explanation: hope it helps

Answer:

92 Degrees.

Step-by-step explanation:

As this is a Quadliateral inscribed in a circle, you can use a trick that is always true for these types of problems. Opposite angles will always be the same, since 92Degrees is A and is opposite to C, this means C is also 92Degrees, these type of shapes are also known as cyclic quadrilaterals