Sasha practices piano for 45 minutes, 6 days a week. How many minutes does Sasha practice in a week? Use an area model to solve.

Answer:

50

Step-by-step explanation:

they have to add up to 80.

think about them sliding to the main vertex...

Answer:

y = 25x

Step-by-step explanation:

This is a straight line, so the formula is:

y = ax + b

a is the slope and b is the y-intercept.

Slope formula:

a = (y2 - y1)/(x2 - x1)

Select two random points from the line:

Slope a = (100 - 50)/(4 - 2) = 50/2 = 25

=> y = 25x + b

Use one of the points to find b:

50 = 25*2 + b

=> b= 0

So the equation is y=25x

Applying derivative concepts, the y-intercept of the line tangent to the curve at (2√3, √3) is: [tex]y = \sqrt{3}[/tex]

The equation of the line is:

[tex]y - y_1 = m(x - x_1)[/tex]

In which:

In this problem, point [tex](2\sqrt{3}, \sqrt{3})[/tex], hence [tex]x_1 = 2\sqrt{3}, y_1 = \sqrt{3}[/tex]

To find the value of [tex]\theta[/tex], we have that:

[tex]3\tan{\theta} = \sqrt{3}[/tex]

[tex]\tan{\theta} = \frac{\sqrt{3}}{3}[/tex]

[tex]\theta = \frac{\pi}{6}[/tex]

Then, for the slope:

[tex]\frac{dy}{d\theta} = 3\sec^{2}{\theta}[/tex]

[tex]\frac{dx}{d\theta} = 3\sec{\theta}\tan{\theta}[/tex]

Considering [tex]\theta = \frac{\pi}{6}[/tex]:

[tex]\frac{dy}{d\theta} = 3\left(\frac{2}{\sqrt{3}}\right)^2 = 2[/tex]

[tex]\frac{dx}{d\theta} = 3\left(\frac{2}{\sqrt{3}} \times \frac{\sqrt{3}}{3}\right) = 2[/tex]

[tex]m = \frac{\frac{dy}{d\theta}}{\frac{dx}{d\theta}} = 1[/tex]

Then, the equation of the line is:

[tex]y - y_1 = m(x - x_1)[/tex]

[tex]y - \sqrt{3} = x - 2\sqrt{3}[/tex]

[tex]y = x - \sqrt{3}[/tex]

The y-intercept is the value of y when x = 0, hence:

[tex]y = \sqrt{3}[/tex]

A similar problem is given at https://brainly.com/question/22426360

Answer:

  (a) f^-1(x) = 1/4x -3

  (b) f is not the inverse of g

Step-by-step explanation:

The inverse of function f can be found by solving ...

  x = f(y)

  x = 4y +12

  x -12 = 4y

  x/4 -3 = y

The inverse of function f is ...

  f^-1(x) = 1/4x -3

__

g(x) ≠ f^-1(x), so g^-1(x) ≠ f(x). Function f is not an inverse of g.

_____

Additional comment

Function g is a quadratic, so it doesn't have an inverse function, except on a restricted domain.

Because g is 2nd degree, any inverse relation will involve a 1/2 power (square root). Both f and its inverse are linear functions, so cannot be inverses of g.

Answer:  25/27

Step-by-step explanation:

4/9 + 4/5 (2/3)^2

4/9 + (4/5)(4/9)

4/9 + (16/54)

24/54 + 16/54

50/54

25/27

Answer:4/5

Step-by-step explanation:

Answer: The Y intercept is 128 as well, which is the original velocity. Technically it should be v - intercept but whatever. The y  / v intercept is the original velocity. The X intercept should be the t intercept but again whatever. The x/t intercept is 4, meaning that the velocity is zero when t is 4

Step-by-step explanation: y/v intercept is when t = 0. v = 128 - 32(0) = 128

It is the initial velocity at t = 0. The X/t intercept is when v = 0. 0 = 128 - 32t, so 32t = 128, so t = 4. The x intercept means when the velocity is zero, which means that the ball is at its highest/farthest point.

Answer:

y = 1/2x+2

Step-by-step explanation:

first find x intercepts : to find x intercept put 0 in y

1/2x+2 = 0

1/2x= -2

x = -4 the graph shows x intercept at 4

next find y intercept : to find y intercept put 0 into x

=1/2*0+2

=2

the graph shows y crosses at 2.

Answer:

y = 1/2x+2

Answer:

y=-1/4x+1

Step-by-step explanation:

y-y1=m(x-x1)

y-3=-1/4(x-(-8))

y-3=-1/4(x+8)

y=-1/4x-8/4+3

y=-1/4x-2+3

y=-1/4x+1

Answer:

A) 0

Step-by-step explanation:

15/21 simplifies to 5/7. 5/7-5/7 (itself) is 0.

Answer:

0

Step-by-step explanation:

= [tex]\frac{5}{7}-\frac{5}{7}[/tex]

= [tex]\frac{5-5}{7}[/tex]

= [tex]\frac{0}{7}[/tex]

= [tex]0[/tex]

Answer: 1618 cm^2

The formula to find surface area of a cuboid is 2(ab + bc + ca)

2(19*3.5 + 3.5*33 + 33*19)

--> 1618

Answer:

x = 0 and y = 1                 Solution: (0, 1)      

Step-by-step explanation:

13x +  y = 1       multiply by -6  ⇔      -78x  - 6y = -6

2x + 6y = 6     do not change  ⇔    +  2x + 6y =   6    

                                                           -76x  = 0

                                                                  x = 0

Use the second equation to solve for y if x = 0

2x + 6y =  6

2(0) + 6y = 6

 0 + 6y = 6

     6y = 6

       y = 1       Solution (0,1)

7x - 2 = 5x + 14

7x - 5x = 14 + 2

2x = 16

x = 16/2

x = 8

______

Hope it helps ⚜

Answer:

x = -8

Step-by-step explanation:

[tex]7x - 2 = 5x + 14 \\ 5x - 7x = 14 + 2 \\ - 2x = 16 \\ \frac{ - 2x}{ - 2} = \frac{16}{ - 2} \\ x = - 8[/tex]

The given quadrilateral PQRS do not have the properties of a parallelogram, but that of a square. Because we are to prove that its consecutive sides are congruent i.e : QP ≅ QR.

The required proofs are stated below:

                  Statement                                 Reason

1. <SPR ≅ <PRQ                                       Alternate angle property

2. PT ≅ TR                                               Definition of a mid-point

3. <PTS ≅ <QTR ≅ [tex]90^{o}[/tex]                           Perpendicular bisector property

4. ST ≅ TQ                                              Mid-point of a segment

5. PQ ≅ SR                                             Opposite side congruent property

6. ΔPQs ≅ ΔQRS                                    Side-Angle-side (SAS) property

7. <PQR ≅ <SPQ                                    Right angle property

8. PQ ≅ QR                                            Congruent consecutive side property

Therefore given that PQ ≅ QR, then the given quadrilateral is a square.

Visit: https://brainly.com/question/16899603

Answer:

12$ tip together is will be 92$

Step-by-step explanation:

Answer:

  B. slope -5, y-intercept (0, 7)

Step-by-step explanation:

The y-intercept is the first (x, y) pair shown in the table: (0, 7). (This eliminates choices C and D.)

The slope is ...

  change in y / change in x

  (-13 -7) / (4 -0) = -20/4 = -5 . . . slope

This matches choice B.

Answer:

0 & 0

Step-by-step explanation:

In order to find the answer to these two questions you need to use the slope formula, substitute, subtract, and simplify if needed.

[tex](-2,-5),(-2,-5) = (x^1,y^1),(x^2,y^2)[/tex]

Slope formula = [tex]m=\frac{y^2-y^1}{x^2-x^1}[/tex]

Substitute: [tex]\frac{-5--5}{-2--2} =[/tex]

[tex]\frac{-5--5}{-2--2} =-5--5 = 0[/tex]

[tex]-2--2 = -2+2=0[/tex]

[tex]= 0[/tex]

[tex](-3,-6),(-3,-6)=(x^1,y^1),(x^2,y^2)[/tex]

[tex]m=\frac{-6--6}{3--3}[/tex]

[tex]-6+6=0[/tex]

[tex]-3+3=0[/tex]

[tex]=0[/tex]

Hope this helps.

Answer:

21.6 ft

Step-by-step explanation:

Similar Triangles

6/10=B/36

B=21.6

Answer: 1 group 65 bananas

Step-by-step explanation: We want the same number of bananas as oranges so 65 is divisible by 5 which is 13 5s to make 65.

Answer:

3/5

Step-by-step explanation:

Answer:

$81.6

Step-by-step explanation:

You multiply 0.2 by 68, in which you will get 13.6, and then you add that to 68.

51/x - 5i

this is the answerrrr

Answer:

47.25

Step-by-step explanation:

Heres how I found the answer:

if sales tax is 5%, then we need to find 5% of 45 and add it to 45!

5% of 45= 2.25

(I found this by doing 45*5%, or 45*.05)

Now, add 2.25 to 45!

Total bill=47.25 dollars

Hope I could help!

Answer:

Equilateral triangles have 3 congruent angles, measuring 60 degrees each. Isosceles triangles have 2 congruent angles, and scalene triangles have no congruent angles.

Step-by-step explanation:

Step-by-step explanation how to get answer:

Slope is Rise over Run

Find point (3, 5) and go up 5 and over 3 from that point & mark it, keep going in that pattern until you have a line.

For going opposite ways, do the opposite function; go down 5 and left 3 to have a complete straight line.

Answer:

To Bend I would say.

Step-by-step explanation:

Because he wants to get out of the stituration and go to the arcade. But he needs to change he father's mind to go. So he needs to Bugde or Bend his father's decision to let him go to the arcade.

Step-by-step explanation:

Solution is already given:

Graph the inequality:

And you are done

So Graph it