1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
masha68 [24]
3 years ago
9

I need help on number 15

Mathematics
1 answer:
Anna11 [10]3 years ago
4 0
500 place and tens place
You might be interested in
Simplify (9x-1)^-1/2 - (x+2)(9x-1)^-1/2
iren2701 [21]

Answer:

Step-by-step explanation:

(9x-1)^-1/2 - (x+2)(9x-1)^-1/2

= (9x-1)^-1/2( 1 - (x + 2))

= (9x-1)^-1/2(-1 - x)

= -(x + 1)(9x-1)^-1/2

= -(x + 1) / (9x-1)^1/2

3 0
3 years ago
Suppose you have ordered one medium onion ring and one 16oz chocolate shake from Burger King. The onion rings have 19 grams of f
dsp73

Part A:

23 + 13x ≤ 81

Part B:

23 + 13x ≤ 81

<u>-23  </u>          <u>-23</u>

13x ≤ 58

<u>/13 </u>    <u>/13</u>

x ≤ 4.46

Part C:

This means that you can have 4 cheeseburgers while keeping the fat under 81 grams.

5 0
2 years ago
Determine whether the given vectors are orthogonal, parallel or neither. (a) u=[-3,9,6], v=[4,-12,-8,], (b) u=[1,-1,2] v=[2,-1,1
nevsk [136]

Answer:

a) u v= (-3)*(4) + (9)*(-12)+ (6)*(-8)=-168

Since the dot product is not equal to zero then the two vectors are not orthogonal.

|u|= \sqrt{(-3)^2 +(9)^2 +(6)^2}=\sqrt{126}

|v| =\sqrt{(4)^2 +(-12)^2 +(-8)^2}=\sqrt{224}

cos \theta = \frac{uv}{|u| |v|}

\theta = cos^{-1} (\frac{uv}{|u| |v|})

If we replace we got:

\theta = cos^{-1} (\frac{-168}{\sqrt{126} \sqrt{224}})=cos^{-1} (-1) = \pi

Since the angle between the two vectors is 180 degrees we can conclude that are parallel

b) u v= (1)*(2) + (-1)*(-1)+ (2)*(1)=5

|u|= \sqrt{(1)^2 +(-1)^2 +(2)^2}=\sqrt{6}

|v| =\sqrt{(2)^2 +(-1)^2 +(1)^2}=\sqrt{6}

cos \theta = \frac{uv}{|u| |v|}

\theta = cos^{-1} (\frac{uv}{|u| |v|})

\theta = cos^{-1} (\frac{5}{\sqrt{6} \sqrt{6}})=cos^{-1} (\frac{5}{6}) = 33.557

Since the angle between the two vectors is not 0 or 180 degrees we can conclude that are either.

c) u v= (a)*(-b) + (b)*(a)+ (c)*(0)=-ab +ba +0 = -ab+ab =0

Since the dot product is equal to zero then the two vectors are orthogonal.

Step-by-step explanation:

For each case first we need to calculate the dot product of the vectors, and after this if the dot product is not equal to 0 we can calculate the angle between the two vectors in order to see if there are parallel or not.

Part a

u=[-3,9,6], v=[4,-12,-8,]

The dot product on this case is:

u v= (-3)*(4) + (9)*(-12)+ (6)*(-8)=-168

Since the dot product is not equal to zero then the two vectors are not orthogonal.

Now we can calculate the magnitude of each vector like this:

|u|= \sqrt{(-3)^2 +(9)^2 +(6)^2}=\sqrt{126}

|v| =\sqrt{(4)^2 +(-12)^2 +(-8)^2}=\sqrt{224}

And finally we can calculate the angle between the vectors like this:

cos \theta = \frac{uv}{|u| |v|}

And the angle is given by:

\theta = cos^{-1} (\frac{uv}{|u| |v|})

If we replace we got:

\theta = cos^{-1} (\frac{-168}{\sqrt{126} \sqrt{224}})=cos^{-1} (-1) = \pi

Since the angle between the two vectors is 180 degrees we can conclude that are parallel

Part b

u=[1,-1,2] v=[2,-1,1]

The dot product on this case is:

u v= (1)*(2) + (-1)*(-1)+ (2)*(1)=5

Since the dot product is not equal to zero then the two vectors are not orthogonal.

Now we can calculate the magnitude of each vector like this:

|u|= \sqrt{(1)^2 +(-1)^2 +(2)^2}=\sqrt{6}

|v| =\sqrt{(2)^2 +(-1)^2 +(1)^2}=\sqrt{6}

And finally we can calculate the angle between the vectors like this:

cos \theta = \frac{uv}{|u| |v|}

And the angle is given by:

\theta = cos^{-1} (\frac{uv}{|u| |v|})

If we replace we got:

\theta = cos^{-1} (\frac{5}{\sqrt{6} \sqrt{6}})=cos^{-1} (\frac{5}{6}) = 33.557

Since the angle between the two vectors is not 0 or 180 degrees we can conclude that are either.

Part c

u=[a,b,c] v=[-b,a,0]

The dot product on this case is:

u v= (a)*(-b) + (b)*(a)+ (c)*(0)=-ab +ba +0 = -ab+ab =0

Since the dot product is equal to zero then the two vectors are orthogonal.

5 0
3 years ago
Read 2 more answers
4. Trina will add fringe along the edges of
Alinara [238K]
Perimeter of 1 tablecloth = 3+3+2+2= 10
Total fringe needed = 10x3 = 30 meters
6 0
3 years ago
Jack bought four dozen eggs at $10 per dozen six eggs were broken what percent of his money goes to waste?
Maurinko [17]
One dozen eggs is 48 eggs. Altogether that costs 40 dollars. If six of the eggs were broken then the money wasted would be 5 dollars.

The reason that it is 5 dollars is becuase it takes 10 to buy 12 eggs, and half of that is 6. So divide both 12 and 10 (separately) and you get 5 dollars for 6 eggs.

To get the percent you must divide 5 by 40.

The answer comes out to about 12.5% or 0.125.

So in the end, 12.5% of the money was wasted due to the broken eggs.

Hope this helped!
4 0
2 years ago
Other questions:
  • Someone please help me
    12·1 answer
  • 30 POINTS ANSWER CORRECTLY
    10·2 answers
  • When answered please show step by step
    10·1 answer
  • What is the volume?<br><br> __ cubic inches
    7·2 answers
  • Whats the answer to 45=x(14-x)
    12·2 answers
  • A plane flies 910 miles with the wind in the same time it can go 660 miles against the wind. The speed of the plane is still air
    12·1 answer
  • A rectangular cooler made of MycoFoam is 13 inches wide, 7 inches tall, and 7 inches long. what is its surface area?
    11·1 answer
  • Perform the operation.<br> (-2x^2 – 8x + 3) + (-9x^2 + x + 3)
    13·2 answers
  • Find the range of the function F(x) = the integral from 0 to x of the square root of 4-t^2 dt
    14·1 answer
  • As an improper fraction simplified
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!