A factory makes 12 bikes in 3 hours.
If it keeps making bikes at the same
rate, how many bikes will it have
made in 8 hours? (hint: set up a
proportion.)

Answer: After 19 days, the dragon filled half of the cave.

Step-by-step explanation:

The dragon doubled in size every day and after 20 days he filled the cave.

So, one day before, the dragon occupied half of the cave.

20 - 1 = 19  [days]

After 19 days did the dragon half-fill the cave.

The dragon doubles in size every day, and after 20 days, it completely fills the cave.

To find out when the dragon half-filled the cave, we need to determine how many days it took for the dragon to reach half of the cave's capacity.

we know that,

On the 20th day, the dragon filled the entire cave.

and, The dragon doubled in size every day.

so, we have,

On the 19th day, the dragon's size would have been half of what it was on the 20th day.

On the 18th day, the dragon's size would have been half of what it was on the 19th day.

And so on...

We can see that every day before the 20th day, the dragon's size was halved.

So, on the 19th day, the dragon's size was half of the size it was on the 20th day.

Therefore, on the 19th day, the dragon half-filled the cave, and on the 20th day, it filled the entire cave.

Hence, After 19 days did the dragon half-fill the cave.

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Answer:

[tex]T(ln2)[/tex][tex]= <\sqrt{145} , \frac{6\sqrt{2} }{\sqrt{145} } , \frac{6\sqrt{2} }{\sqrt{145} } >[/tex]

Step-by-step explanation:

Given : [tex]r(t)=<7-\sqrt{e^t}, 3e^t,3e^t > .........(i)[/tex]

We first have to differentiate of equation [tex](i)[/tex]

[tex]r'(t) = < \frac{\sqrt{e^t} }{2} , 3e^t,3e^t> ..........(ii)[/tex]

Now to get a unit tangent vector at the given value of [tex]t[/tex], we put [tex]t = ln2[/tex] in equation [tex](ii)[/tex]

[tex]r'(ln2) = < \frac{\sqrt{e^{ln2}} }{2} , 3e^{ln2},3e^{ln2}>[/tex]

            [tex]= <\frac{1}{\sqrt{2} } ,6,6>[/tex]        [∵[tex]e^{lna}=a[/tex]]

Now to get a unit tangent vector , we will divide our vector [tex]r'(ln2)[/tex] by its magnitude. So let's first find the magnitude.

[tex]|r'(ln2)|=\sqrt{(\frac{1}{\sqrt{2} } )^2 +6^2+6^2}[/tex]

             [tex]= \sqrt{\frac{1}{2}+36+36 }[/tex]

             [tex]= \sqrt{\frac{145}{2} }[/tex]

Now we can find the our unit tangents vector.

      [tex]T(ln2)=\frac{r'(ln2)}{|r'(ln2)|}[/tex]

                  [tex]= \frac{<\frac{1}{\sqrt{2}} ,6,6> }{\sqrt{\frac{145}{2}} }[/tex]

                  [tex]= <\frac{\frac{1}{\sqrt{2} } }{\sqrt{\frac{145}{2}} } ,\frac{6}{{\sqrt{\frac{145}{2}} }}, \frac{6}{{\sqrt{\frac{145}{2}} }} >[/tex]

                   [tex]= <\sqrt{145} , \frac{6\sqrt{2} }{\sqrt{145} } , \frac{6\sqrt{2} }{\sqrt{145} } >[/tex]

Hence, [tex]T(ln2)[/tex] [tex]= <\sqrt{145} , \frac{6\sqrt{2} }{\sqrt{145} } , \frac{6\sqrt{2} }{\sqrt{145} } >[/tex]

Answer:

$10.10

Step-by-step explanation:

$7.50 + $2.60 = $10.10

Step-by-step explanation:

Answer:

perimeter= 4+4+3

11

Step-by-step explanation:

....

Answer:

8-(-7)=

8(7)=

8+7=15

Step-by-step explanation:

prove me wrong

Answer:

hwbqjakakakakakakamamakjajajq

Answer:

Step-by-step explanation:

The formula for the volume is given by

(side)3=volume

Since we have the volume, we must take the cube root of the volume to find the length of any one side (since it is a cube, all of the sides are equal).

(side)3−−−−−−√3=side=volume−−−−−−√3

Plugging in 216 for the volume, we end up with

side=6 cm

Answer:

a = ∛v

Step-by-step explanation:

Edge (a) volume (v)

v = a³

a = ∛v

Answer:

Step-by-step explanation:

This can happen because of the timestamp on the toll card. When you pass through the initial entrance point the timestamp marks the exact moment you passed. When you pass through the exit toll point the individual subtracts the current time from the time you entered the initial toll entrance. From this, he can easily determine the average speed that you were driving at. If the average speed is higher than the speed limit, it means that at some point between the two toll booths you were speeding and therefore they can give you a speeding ticket.

Answer:

you didn't post a picture :/

Answer:

Teachers already introduce the general concept of revolutions (turns) when they say things like "a full circle is 360°", but they can make the concept more numerically precise by saying "a full turn is 360°, a half turn is 180°, a quarter turn is 90°, and an eighth turn is 45°" or writing "1 rev = 360°, 1/2 rev = 180°, ...

Step-by-step explanation:

hope this help :)

( t _t )

Answer:

An angle that turns through 1 360 of a circle what is the measure in degrees of the angle

Step-by-step explanation:

Angles are typically measured in degrees or radians. Angle measure is based on a circle where a full turn around the circle is 360 degrees. Similarly, a half turn is 180 degrees, a fourth [quarter] turn is 90 degrees, and so on.

Answer:

D. 10

Step-by-step explanation:

Assuming that <COA is a right angle, we can say that the two given angles are complementary

complementary angles are angles that add up to 90 degrees

this means we can create this equation: 3x + 46 + 14 = 90

so subtract 46 and 14 from 90: 3x = 30

divide both sides by 3: x = 10

Answer:

I think that it is letter D

Step-by-step explanation:

sorry if im wrong. but i hope this helps! :)

Answer:

B

Step-by-step explanation:

Triangle B because 128°>90°

Answer:

it should be correct ANSWER D TRIANGLE B

Step-by-step explanation:

"An obtuse triangle is a triangle in which one of the angles is an obtuse angle. (Obviously, only a single angle in a triangle can be obtuse or it wouldn't be a triangle.) A triangle must be either obtuse, acute, or right"

-dont worry you are smart we are all good at something!

Answer:

this is only 15points but ok

Step-by-step explanation:

answer: D)

Answer:

The answer should be 15.

Step-by-step explanation:

[tex]\sqrt[3]{125}[/tex] Factor 125 = [tex]5^{2}[/tex] x 5. Rewrite the square root of the product [tex]\sqrt{5^{2}X5 }[/tex]  as the product of square roots. [tex]\sqrt{5^{2} }[/tex]   [tex]\sqrt{5}[/tex]. Take the square root of [tex]5^{2}[/tex].

[tex]3[/tex] x [tex]\sqrt[5]{5}[/tex] Multiply 3 and 5 to get 15.

[tex]\sqrt[15]{5}[/tex]

Answer:

$63.75

Step-by-step explanation: I think

Answer:

Mabey 102 try that.

Step-by-step explanation:

Hope this helps!

Answer:

4years

Step-by-step explanation:

Let the present age of Mark be x

Let the present age of Max be y

Five years ago

Mark = x-5

Max = y - 5

If mark was twice as old as Max, then;

x - 5 = 2(y-5)

x-5 = 2y - 10

x-2y = -10+5

x - 2y = -5 ... 1

In three years,

mark = x+3

Max = y+3

Now if Max's age will be 2/3 that of Mark, then;

x+3 = 2/3(y+3)

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

3x + 9 = 2y+6

3x-2y = -3 .... 2

Solve 1 and 2 simultaneously

x - 2y = -5 ... 1

3x-2y = -3 .... 2

From 1: x = -5 + 2y

Substitute into 2:

3(-5+2y) - 2y = -3

-15 + 6y - 2y = -3

-15 + 4y = -3

4y = -3 + 15

4y = 12

y = 3

Recall thet x = -5+2y

x = -5+2(3)

x = -5 + 6

x = 1

The sum of their ages will be x+y

x+y = 1+3

x+y = 4

Hence the sum of their ages now is 4years

Answer:

4

Step-by-step explanation:

12 feet divided by 3 hours is 4

Answer:

4 feet per hour

Step-by-step explanation:

12 feet in 3 hours

12/3 = 4

4 feet in 1 hour

Answer: equal

Step-by-step explanation:

The square root of 35 is 5.9

5 9/10 = 5.9

Answer:

a)

i) With an eight digit binary number, there are 2⁸, or 256 possible combinations.

ii) Each digit is set to 1 or 0 for exactly half of all combinations.  This means that half of all strings, or 256 / 2 = 128 strings end with a zero.

iii) 3/4, or 128 + 64 = 192 of the combinations have a 1 for either the second or fourth digit.  If you consider:

Half of all digits will have the second bit set to 1

Half of all digits will have the fourth bit set to 1

Half of those will overlap

Then that's half the digits, plus half the digits, minus half of half the digits. 1/2 + 1/2 - 1/4 = 3/4

iv) This is a duplicate of iii, so again, 192

b) If we're allowed to repeat the usage of the digits, then answer would be the number of values available to the power of the number of digits used.  We're allowed six distinct digits, so the total combination of 9 digit numbers would be 6⁹, or 10077696

c) In this case we can look at it simply as permutations of the set {"ABC", "D", "E", "F"}, which gives us 4! which equals 24

Answer:

ITS A STRANGE SEQUENCE OF EVENTS MI BOI-REGTOOFUNNY-FUNNYMIKE

Step-by-step explanation:

What does that even say

(sqrt2 - sqrt6)/4 = - 0.259

cos ((7pi)/12) = cos 105 = - 0.259

Answer:

D. sprt2 - sqrt6/4

Step-by-step explanation:

If you mean the answer for edg that's what it is.

Hope that helps

Answer:

-8

Step-by-step explanation:

The formula for slope is [ y2-y1/x2-x1 ].

1-9/7-6

-8/1

-8

Best of Luck!

Answer: The slope is equal to -8

Step-by-step explanation:

Since we know all of the points we can put it into the equation y2-y1 divided by x2-x1

So we input the numbers into the equation

1-9= -8

7-6= 1

-8/1 comes out to  -8

Answer:

23.7 -2.5 X 8 = 23.7 - 20

= 3.7

Answer:

D

hope this helped:)

Answer: the peaches were a lighter shade of orange