8 x 10-3 is how many times as great as 4 x 10-6?

Answer:

Use this formula

[tex] \frac{4}{3} \pi \times {r}^{3}[/tex]

Answer will be option A

Process:

V= [tex] \frac{4}{3} \pi \times {r}^{3}[/tex]

   = 4/3 *[tex]\pi }[/tex]*[tex]8^{3}[/tex]

   =[tex]\frac{2048\pi }{3}[/tex]

   =2144.66[tex]m^{3}[/tex]

Answer:

the probability the octahedron will land on A is 3/8

the probability the octahedron will land on B is 1/8

the probability the octahedron will land on C is 4/8 or 1/2

Step by Step explanation:

All u have to do to figure this out is to first count the total amount of letters and in this case there are 8. To find the probability of a specific letter, you have to count how many of that letter there is in the total of 8. For example the letter A's probability is 3/8 since there are 3 A's and 8 letters in total.

hope this helps!!

Answer:

8m

Hope this answers the question. Have a nice day.

Answer:

n=1/6

Add the numbers

1

−

4

+

1

6

−

6

4

=

9

{\color{#c92786}{1}}{\color{#c92786}{-4}}+{\color{#c92786}{16}}-64n=9

1−4+16−64n=9

1

3

−

6

4

=

9

{\color{#c92786}{13}}-64n=9

13−64n=9

2

Rearrange terms

1

3

−

6

4

=

9

{\color{#c92786}{13-64n}}=9

13−64n=9

−

6

4

+

1

3

=

9

{\color{#c92786}{-64n+13}}=9

−64n+13=9

3

Subtract  

1

3

13

13

from both sides of the equation

−

6

4

+

1

3

=

9

-64n+13=9

−64n+13=9

−

6

4

+

1

3

−

1

3

=

9

−

1

3

-64n+13{\color{#c92786}{-13}}=9{\color{#c92786}{-13}}

−64n+13−13=9−13

4

Simplify

Subtract the numbers

Subtract the numbers

−

6

4

=

−

4

-64n=-4

−64n=−4

5

Divide both sides of the equation by the same term

−

6

4

=

−

4

-64n=-4

−64n=−4

−

6

4

−

6

4

=

−

4

−

6

4

\frac{-64n}{{\color{#c92786}{-64}}}=\frac{-4}{{\color{#c92786}{-64}}}

−64−64n​=−64−4​

6

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=

1

1

6

Answer:

A. 90

Step-by-step explanation:

It says the scale is 1:6, so we can multiply 15 square cm to, 15 x 6 = 90 square cm!

Hope this Helps! :)

Answer:

A. 90 square cm

Step-by-step explanation:

The scale factor is 1:6

So the scale drawing on the left is the 1.

The object on the right is 6.

The area of the scale drawing is 15 square cm. If we multiply that by 6, we get answer A. 90 square cm.

Answer:

240

Step-by-step explanation:

Its kinda hard because I dont know the shape of which is width or height or legnth

Answer: [tex]\dfrac{16}{9}\ s[/tex]

Step-by-step explanation:

Given

[tex]s(t)=-t^3+2t^2+\frac{3}{2}[/tex]

Average velocity is given by

[tex]v_{avg}=\dfrac{\int vdt}{\int dt}[/tex]

[tex]v_{avg}=\dfrac{-\frac{t^4}{4}+\frac{2}{3}t^3+1.5t}{t}\\\\v_{avg}=-\frac{t^3}{4}+\frac{2}{3}t^2+1.5[/tex]

Now, equate the average and instantaneous velocity

[tex]-\frac{t^3}{4}+\frac{2}{3}t^2+1.5=-t^3+2t^2+1.5\\\\\Rightarrow -\dfrac{3t^3}{4}+\dfrac{4t^2}{3}=0\\\\\Rightarrow t^2\left(-\dfrac{3}{4}t+\dfrac{4}{3}\right)=0\\\\\Rightarrow t=\dfrac{16}{9}\ s[/tex]

Answer:

(2,-3)

Step-by-step explanation:

by elemination

2x + 2y = –2

3x – 2y = 12

cross out the 2y and -2y because the cancle each other.

that leaves 2x= -2

and             3x = 12.

simply add/subtract. 2x+3x=5x

                                  -2+12=10.

                                    5x=10

                                    x=2.

now for the y. we have x so all we have to do is plug.

take any equation.   2x + 2y = –2  and plug 2 into the x.

2(2)+ 2y = –2

4+2y= -2

-2-4= -6

2y=-6

y=-3.

put x and y into ordered pairs

(2,-3) and done.

easy peasy.

Answer:

x=2 y= -3

Step-by-step explanation:

2x+2y = -2

x+y = -1 (dividing both sides with 2

x+1 = -y

3x - 2y = 12

3x + (-y)(2) = 12

3x + (x+1)(2) = 12

3x+2x+2=12

5x+2=12

x=2

-y= 1+2

y= -3

Answer:

8

Step-by-step explanation:

1/4 x 4/10 x 80/1 = 320/40 which is 8

Answer:

C 3,000

Step-by-step explanation:

the step is you would take 15% of 20,000 candy bars

Answer:

1/4

Step-by-step explanation:

1/2 x 1/2

The value of × that satisfies the equation 243× = 73 is approximately 0.6691.

To solve the equation 243× = 73, where × represents the base of the number, we need to determine the value of × that satisfies the equation.

We can start by rewriting the equation as an exponential equation:

243ˣ= 73

To solve for ×, we need to isolate × on one side of the equation. We can do this by taking the logarithm of both sides of the equation. Let's take the logarithm with base 10 (log) for simplicity:

log(243ˣ) = log(73)

Applying the logarithmic property, we can bring down the exponent × as a multiplier:

× * log(243) = log(73)

Now, we can solve for × by dividing both sides of the equation by log(243):

× = log(73) / log(243)

× ≈ 0.6691

Therefore, the value of × that satisfies the equation 243× = 73 is approximately 0.6691.

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Answer:

(Xm, Ym) = [ x1+x2/2, y1 + y2/2]

Given (6,3) (-3,-7)

x1 y1 x2 y2

Step-by-step explanation:

(Xm,Ym) =[ 6-3/2, 3-7/4]

= [ 3/2, -1]

Answer:

14. 9²

15. 10²

Step-by-step explanation:

----------------------

Answer:

-5.5.

Step-by-step explanation:

The negative numbers are less than the positive and -5.5 is less than -5.

Answer: x = 8 y = 4 or C

Step-by-step explanation:

Answer:

A.  50

Step-by-step explanation:

< A and < D  are both subtended on the circumference by the chord  CB.

The measure of angle d is [tex]50^{0}[/tex].

An angle at the circumference of a circle is half the angle at the center standing on the same arc.

Two angles at the circumference standing on the same arc are equal.

According to the given figure

Circumferential angles are ∠CDB and ∠CAB.

And we have to find the measue of angle d i.e. ∠CDB.

Since, the angles of circumference corresponding the same arc are equal.

Here, ∠CAB and ∠CDB are the circumferential angles corresponding to arc.

Therefore,

m ∠CDB = ∠CAB = [tex]50^{0}[/tex]

⇒ d = m ∠CDB = [tex]50^{0}[/tex].

Hence, the measure of angle d is [tex]50^{0}[/tex].

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Answer:

3.2 x 10^13

Step-by-step explanation:

(8x10^4)(4x10^8)

reorder the terms using the commutative property

(8x4)x(10^4x10^8)

multiply

32x (10^4 x 10^8)

= 32 x 10^4+8

= 32 x 10^12

now convert to scientific notation

=3.2 x 10^13

Answer:

2.1 pounds

Step-by-step explanation:

Given that :

Number of baseballs = 7

Weight of each baseball = 0.3 pounds

1 block = 0.1 pounds

Hence, each ball will represent 0.3 / 0.1 = 3 blocks

Hence, 3 blocks = 1 ball

7 balls will be : 3 * 7 = 21 blocks

Recall:

1 block = 0.1

Hence, 0.1 * 21 = 2.1

Therefore, the weight of the 7 balls = 2.1 pounds

Answer: 1/6

Step-by-step explanation:

Answer: 1/6

Step-by-step explanation:

3 red

5 blue

2 black

10 total

pick a red pen first: 3/10

pick a blue pen next: 5/9

3/10*5/9 = 15/90 or 1/6

Answer:

.01*.5ˣ

Step-by-step explanation:

we can see that x=0 y= .01

so in our equation

a*bˣ

a=.01

This is throuhg plugging in 0 for x

a*b⁰=.01

a*1=.01

a=.01

Now it's just a matter of finding b

to do this just plug in a value

we know that when x=1 y=.005

.01*b¹=.005

b= .5

So our final equation is :  .01*.5ˣ

Answer:

the interest received is $957.03

Step-by-step explanation:

Given that

The invested amount is $10,000

There is 18 months

And, the interest rate is 6.25%

= (($10,000 × (1 + 6.25% ) × 0.0625  × 6 months ÷ 12 months)) + ($10,000 × 6.25%)

= $332.03 + $625

= $957.03

Hence, the interest received is $957.03

Answer:

a=π9² is the formula with the radius plugged in

radius is half

Answer:

243in^2

Step-by-step explanation:

18/2=9

3 x 9 x 9=243

The required value of x is 4.

Answer:

4x + 31 = 154

9x + 31 = 154

Step-by-step explanation:

$154 total

31 candles

4x + 31 = 154 <-- this is to find out how many small candles can be bought

9x + 31 = 154 <-- this is to find out how many large candles can be bought

I'm pretty sure these equations work! :)

After that its just simple math!! :)

Answer:

A boat travels a certain distance upstream in 5 hours and the same distance downstream in 3 hours. If the speed of the boat is 18 mph, what is the speed of the current (in mph)?

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

The formula to when given the number of standard deviations below the mean x =μ - nσ

Where:

x = raw score

μ is the population mean = 75

σ is the population standard deviation = 8.

n = number of standard deviations below the mean

Hence

x = 75 - 1.5 × 8

x = 75 - 12

x = 63

Therefore, Andrey's exam score is 63