100 POINTS PRE-CALCULUS

An airplane is flying in the direction of 30 degrees South of West at 600 mph. A wind is blowing in the direction of 60 degrees North of East at 40 mph.


are the component forms for the air and wind vectors.


The ground speed, G, of the plane is given by

.

Answer:

Step-by-step explanation:

2) They distributed an x out of the term with out one.  that is the 8

so the expression should be  5x +8

3) They didn't follow order of operations and took 2 away from the 7 before they distributed the 7  :O  very bad of them

the expression should be  7x + 54

4) They distributed out the y but didn't leave a 1 so the problem lost a term.

the expression should be -6x + 7y

Answer:

sorry to tell you this but you will be measuring for a while

Step-by-step explanation:

go to walmart get a 2/3 measuring cup and measure out 8 cups i guess. get me some chips while your there plss. <3

Answer:

[tex]G' = (1,4)[/tex]

[tex]H' = (-4,5)[/tex]

[tex]I = (-8,2)[/tex]

Step-by-step explanation:

Given

[tex]G = (4,1)[/tex]

[tex]H = (5,-4)[/tex]

[tex]I = (2,-8)[/tex]

Reflection: [tex]y = x[/tex]

Required

Determine the coordinates of G'H'I'

The following applies when a line A is reflected over [tex]y = x[/tex]

[tex]A = (x,y)[/tex]

[tex]A' = (y,x)[/tex]

i.e, we simply swap the positions of x and y

So, for:

[tex]G = (4,1)[/tex]

[tex]H = (5,-4)[/tex]

[tex]I = (2,-8)[/tex]

The reflections are:

[tex]G' = (1,4)[/tex]

[tex]H' = (-4,5)[/tex]

[tex]I = (-8,2)[/tex]

See attachment

Answer:

No.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

8x + 2 = 3x + 13

Step 2: Solve for x

Given:

The sum of third and seventh terms of an AP is 20.

To find:

The sum of the first nine ​ terms.

Solution:

We have, the sum of third and seventh terms of an AP is 20.

[tex]a_3+a_7=20[/tex]        ...(i)

nth term of an AP is

[tex]a_n=a+(n-1)d[/tex]

where, a is first term and d is common difference.

[tex]a_3=a+(3-1)d[/tex]

[tex]a_3=a+2d[/tex]       ...(ii)

[tex]a_7=a+(7-1)d[/tex]

[tex]a_7=a+6d[/tex]       ...(iii)

Using (i), (ii) and (iii), we get

[tex](a+2d)+(a+6d)=20[/tex]

[tex]2a+8d=20[/tex]         ...(iv)

Now, the sum of first n terms of an AP is

[tex]S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]

Put n=9 to find the sum of first 9 terms of an AP.

[tex]S_n=\dfrac{9}{2}[2a+(9-1)d][/tex]

[tex]S_n=\dfrac{9}{2}[2a+8d][/tex]

[tex]S_n=\dfrac{9}{2}[20][/tex]           [Using (iv)]

[tex]S_n=\dfrac{180}{2}[/tex]

[tex]S_n=90[/tex]

Therefore, the sum of the first 9 terms is 90.

Answer:

The equation of the straight line passing through the point ( 3,1 )

                      [tex]\frac{x}{2} + \frac{y}{-2} = 1[/tex]

Step-by-step explanation:

Step(i):-

The equation of the straight line passing through the point ( 3,1 )

                      [tex]\frac{x}{a} + \frac{y}{b} = 1[/tex]

                     [tex]\frac{3}{a} + \frac{1}{b} = 1[/tex]

                    3b + a = ab ...(i)

Given the difference of length is  4

                      a-b = 4

                       b =  a - 4 ...(ii)

Step(ii):-

substitute b=a-4 in equation (i) , we get

                3( a-4 ) + a = a (a-4)

               3a - 12+ a =  - 4 a + a²  

                 a² - 8 a + 12 =0

Find the factors of 'a'

                 a² - 6a -2a +12 =0

                a (a-6) -2(a-6) =0

             a =2 and a=6

                  we know that a-b =4

             put       a = 2

                          2 - b =4

                            b = -2

The equation of the straight line whose intercepts on the axes

                    [tex]\frac{x}{a} + \frac{y}{b} = 1[/tex]

                   [tex]\frac{x}{2} + \frac{y}{-2} = 1[/tex]

The equation of the straight line

                      [tex]\frac{x}{2} + \frac{y}{-2} = 1[/tex]

Verification:-

The equation of the straight line passing through the point (3,1)

                      [tex]\frac{x}{2} + \frac{y}{-2} = 1[/tex]

Put x =3 and y=1

                  [tex]\frac{3}{2} + \frac{1}{-2} = 1\\\frac{2}{2} =1\\[/tex]

                 1 = 1

∴  The point (3,1) is satisfies the equation

Answer:

18 students

Step-by-step explanation:

Now think of it in this form. 12 students wanna learn french which is 24% and in this problem we have to find 24% of "x" is 12. The answer is obviously 50. Now go to German and you can see that 18% want to learn German. All you have to do is find 50% of 18 to get your answer which is 9. Now follow that same pattern with the Spanish one. If 36% want to learn Spanish, just find 50% of it or half of it and that could be done by doing 36 divided by 2 to get 18 as your answer. Another way to do it is my turning 50% into 0.5 and multiplying it by 36 to get your answer. As a result, your answer is 18 students want to learn Spanish.

Answer:

I'm pretty sure its -11

Answer:

f(3) = -11

Step-by-step explanation:

Substitute 3 in wherever you see an x:

f(3) = -4 * 3 + 1

f(3) = -12 + 1

f(3) = -11

Answer:

17 units

Step-by-step explanation:

Distance between points [tex](a,b)\,,\,(c,d)[/tex] is given by [tex]\sqrt{(c-a)^2+(d-b)^2}[/tex]

The trail starts at P(−2, 2) and goes to Q(5, 2).

Take [tex](a,b)=(-2,2)\,,\,(c,d)=(5,2)[/tex]

[tex]PQ=\sqrt{(5+2)^2+(2-2)^2}=\sqrt{7^2}=7[/tex] units

It goes from Q to R(5, −5)

Take [tex](a,b)=(5,2)\,,\,(c,d)=(5,-5)[/tex]

[tex]QR=\sqrt{(5-5)^2+(-5-2)^2}=\sqrt{(-7)^2}=7[/tex] units

It goes from R to S.

Take [tex](a,b)=(5,-5)\,,\,(c,d)=(8,-5)[/tex]

[tex]RS=\sqrt{(8-5)^2+(-5+5)^2}=\sqrt{3^2}=3[/tex] units

[tex]PQ+QR+RS=7+7+3=17[/tex] units

Answer:

Han's mixture tastes stronger, because...

Han's uses 6 2/3 cups of water for every 1 cup of orange juice concentrate.

Clare uses 7 1/2 cups of water for every 1 cup of orange juice concentrate.

Step-by-step explanation:

Claire

Cups of water = 2 1/2 cups

Cups of orange juice = 1/3

Cups of water for every cup of orange juice = 2 1/2 ÷ 1/3

= 5/2 × 3/1

= 15/2

= 7 1/2

Han:

Cups of water = 1 2/3 cups

Cups of orange juice = 1/4 cups

Cups of water for every cup of orange juice = 1 2/3 ÷ 1/4

= 5/3 × 4/1

= 20/3

= 6 2/3

Answer:

2.25

Step-by-step explanation:

2/5 is equal to 4/10

(9/10)/(4/10)

(9/10)*(10/4)

90/40

9/4 = 2.25

(Can be checked if you multiply 4 by 2.25)

Answer:

13

Step-by-step explanation:

The length of the line segment is 13 unit.

A line segment is a straight line with finite length, and thus, have to endpoints(points on either ends).

If the ray lies onto the considered line segment(overlapping), then it can be said belonging to the considered line segment.

(line segment has 2 fixed ends, whereas a ray has one end only, other end is not fixed)

We are given that coordinate plane shows Line A B.

We need to find the length of the line segment.

We can see that the graph has 1 unit equal to 1 cm.

Then the coordinate for Point B is (5, 13)

The length of the line segment is 13 unit.

Learn more about line segment here:

https://brainly.com/question/14186383

#SPJ2

Answer:

sin A= 3/5

sin C= 4/5

cos A= 4/5

cos C= 3/5

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer: 5/13

Step-by-step explanation: Cosine equals adjacent over hypotenuse so adjacent is the side closest to the angle neglecting the hypotenuse of course because that's always the longest side. So Cos=A/H or 5/13

Answer:

1,155 miles in a year.

Step-by-step explanation:

Assuming there are 4 weeks per month, that would mean there are a total of 48 weeks. If she takes 6 weeks off then that would leave 42 weeks. We know need to find how many minutes are in 11 hours by multiplying 11 by 60min.

11 * 60 = 660min

Now we need to divide 660min by the 24min it takes to walk 1 mile which will also give us the number of miles she walks per week

660 / 24 = 27.5 miles per week

Finally, we need to multiply the number of miles by the number of weeks in the year.

27.5 miles * 42 weeks = 1,155 miles in a year.

Answer:

Step-by-step explanation:

J is correct.. that function can never be less than 2

Answer:

C

Step-by-step explanation:

8*5=40 minutes

There is a total of 60 minutes.

So:

40/60 = 4/6 = 2/3

Answer:

THE ANSWER IS 9

bc you will distribute 2x+16-2 18÷2 =9

Answer:

440 computers in warehouse B

Step-by-step explanation:

1030=A+B

A=b+150

replace the formula.

a=b+150

so replace the "a"+b=1030

so then it'd be b+150+b=1030

now that's easy.

2b+150=1030

-150       -150

2b=880

/2      /2

b=440

Answer:

9 1/2

Step-by-step explanation:

i think think this may be the anwser

Answer:

m = 3

Step-by-step explanation:

Pick two points from the table.

(-1, 1) and (1, 7)

Apply the slope formula.

[tex]m=\frac{7-1}{1+1}=\frac{6}{2}=\boxed{3}[/tex]

Hope this helps.

Answer:

3 dollars

Step-by-step explanation:

5 cans= 15 dollars

1 can = 15/5= 3

3 dollars

Answer:-7

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

so you have to do PEMDAS

first parenthesis 6-1 is 5

then multiplication 5x4 is 20

the subtraction  23-20-2(5)

2x5=10

23-20=3

3-10=-7

Answer:

x=3

y=8

Step-by-step explanation:

the given equations are y=3x-1 --------(1)

and y=2x+2---------(2)

Using substitution method,

and solving y=3x-1

y+1=3x

or y+1/3 =x ------(3)

Putting the value of x= y + 1 / 3 in equation 2

y= 2x+2

or, y = 2 ( y + 1/3) +2

or, y= 2y + 2 / 3 +2

or, y = 2y + 2 + 6 // 3 ( Taking LCM)

Or, 3 y = 2y + 2 + 6 ( the denominator gets multiplied to y)

OR, 3 Y - 2Y =6 PLUS 2

or y = 8

therefore, y=8

now substituting the value of y=8 in equation (3)

y + 1 /3 = x

or ,,, 8 plus 1 by 3 =x

or,,,,, 9 by 3 =x

Therefore, x is 3

Step-by-step explanation:

y = -5x² + 2x - 3 and y = -3x - 3.

=> -5x² + 2x - 3 = -3x - 3

=> 5x² - 5x = 0

=> 5x(x - 1) = 0

=> x = 0 or x = 1.

When x = 0, y = -3(0) - 3 = -3.

When x = 1, y = -3(1) - 3 = -6.

The solutions are (0,-3) and (1,-6).

Answer:

multiply by 1.81

Step-by-step explanation: