1. Maya has 24 baseball cards, and her grandfather gives her 6 baseball cards per week for earning good grades. Her brother, Marcus, has 0 baseball cards, but his grandfather gives him 12 baseball cards per week. After how many weeks will Maya and Marcus have the same number of baseball cards?​

Answer:

A)  M'(w) = w^16 * 4^w [ 51 + 3w In4 ]

B) h'(t) = [ cos (t) - sin (t) ] t^4  + [ sin(t) + cos (t) ] 4t^3

C)  f'(1) = e' [sin(1) + cos(1) ]

D) g'(a) = 0 - 1/2

L(x) = - 1/2 ( x + 1 )

Step-by-step explanation:

Attached below is the detailed solution of the problem

A) m(w) = 3w^17 * 4^w

M'(w) = w^16 * 4^w [ 51 + 3w In4 ]

B) h(t) = [sin(t) + cos(t) ] t^4

h'(t) = [ cos (t) - sin (t) ] t^4  + [ sin(t) + cos (t) ] 4t^3

C)  f(x) = e^x sin (x).  at a = -1

f'(1) = e' [sin(1) + cos(1) ]

D) g (x) = ( x^2 + x ) 2^x .

g'(a) = 0 - 1/2

L(x) = - 1/2 ( x + 1 )

Answer:

8 pi > 24  true

Step-by-step explanation:

12/pi >4

12 > 4pi

pi is slight greater than 3

12 > 4* a number greater than 3

12 >  a number greater than 12  false

pi + 3 < 6

a number slightly greater than 3 + 3 < 6

a number lightly greater than 6 < 6   false

8 pi > 24

8 * a number slightly greater than 3 > 24

a number greater than 24 > 24   true

6 - pi > 3

6 - a number slightly greater than 3 > 3

a number less than 3 > 3  false

(2x + 6) - (7x+3)

= 2x + 6 - 7x - 3

=2x - 7x + 6 - 3

= -5x + 3

Answer:

The answer is (-5x + 3).

Step-by-step explanation:

Your answer is -2 (aka option b that would be)

9514 1404 393

Answer:

Step-by-step explanation:

When the equation of a line is given in slope-intercept form, as this one is, it is usually convenient to make use of those values (intercept and slope).

Here, the y-intercept is 6. The slope is -4/9, which means the line goes down 4 units for each 9 units to the right.

The y-intercept is graphed at (0, 6). An additional point can be graphed at (9, 2). Then the line can be drawn through these points.

Answer:

y=1/3x+10.5

Step-by-step explanation:

y=mx+b, the equation of the parallel line is  y=1/3x+1/2. So we know the slope is 1/3 and all we need is the Y intercept (b). We can find that manually with arithmetic because we know the slope. It turns out to be 10.5

Answer:

6 feet = 1.8288 meters

Step-by-step explanation:

Hope this helps and have a phenominal day!

Answer:

plot those points on a graph and then label the points with the correct letter and then connect the dots and you should have a triangle on your graph.

Step-by-step explanation:

Step-by-step explanation:

First plot the points on a graph and then connect those points forming a triangle

Answer:6 apples cost exactly the same as 9 oranges. 10 apples and 10 oranges cost $7.50. Find the cost of 1 apple and the cost of 1 orange.

Step-by-step explanation:

Complete Question

find a vector function that represents the curve of intersection of the two surfaces. The cylinder  [tex]x^2+y^2= 36[/tex] an the surface [tex]z=xy[/tex]

Answer:

The function is  [tex]r(t) =  6cos(t) \ i + 6sin (t) \ j +  36costsint \ k[/tex]

Step-by-step explanation:

From the question we are told that

   The equation of the cylinder is  [tex]x^2+y^2= 36[/tex]

   The equation of the surface is  z = xy

Generally the general form of this  function is  

      [tex]r(t) =  x(t)i + y(t)j +  z(t) k[/tex]

Generally to confirm the RHS and the LHS of the equation for the cylinder

Let take x (t) =  6cos(t)

and        y(t) = 6sin (t)

So

        [tex]x^2  +  y^2  = [ 6cos(t)]^2 + [6 sin (t)]^2[/tex]

=>     [tex]x^2  +  y^2  = 6^2 cos^2t + 6^2 sin ^2t[/tex]

=>      [tex]x^2  +  y^2  = 6^2 [cos^2t +  sin ^2t] [/tex]    

Generally  [tex]cos^2t +  sin ^2t = 1[/tex]

So

        [tex]x^2  +  y^2  = 36[/tex]  

So at  x (t) =  6cos(t) and  y(t) = 6sin (t) the RHS is equal to LHS

  So

   [tex]z(t) = x(t) *  y(t)[/tex]

    [tex]z(t) = (6 cos(t)) *  (6 sin(t))[/tex]

=>     [tex]z(t) =36costsint[/tex]

So the function is  

     [tex]r(t) =  6cos(t) i + 6sin (t) j +  36costsint k[/tex]

When translated over the x axis, the x values remain the same and the y values become the opposite sign ( a negative becomes a positive and a positive becomes a negative)

A( 1,4) becomes A’(1,-4)

B(3,-2) becomes B’(3,2)

C(4,2) becomes C’(4,-2)

Answer:

step 2

Step-by-step explanation:

sorry if im wrong. Please mark me brainleast  

9514 1404 393

Answer:

  62.6 seconds

Step-by-step explanation:

We can use the 2-point form of the equation for a line to write equations for the heights of the balloons.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

__

For Bill's balloon, the two given points are ...

  (t, h) = (-5, 1032) and (5, 985)

Then the equation is ...

  h = (985 -1032)/(5 -(-5))(t -(-5)) +1032

  h = -47/10(t +5) +1032

__

For Jerry's balloon, the two given points are ...

  (t, h) = (0, 0) and (5, 57)

Then the equation is ...

  h = (57-0)/(5-0)(t -0) +0

  h = (57/5)t

__

The heights are equal when ...

  -47/10(t +5) +1032 = (57/5)t

  1008.5 = t(57/5 +47/10) = 16.1t

Then the time until heights are the same is ...

  t = 1008.5/16.1 ≈ 62.6 . . . seconds

Answer:

$609.50

Step-by-step explanation:

A = P(1 + r/n)^nt

   = 500(1 + [tex]\frac{.04}{2}[/tex])^2(5)

   = 500(1.02)¹⁰

    = 500(1.218994)

    = 609.497

Round answer up to $609.50

Step-by-step explanation:

1. 419*321=134499

2. 326*124 = 40424

3. 354* 7 = 2478

here mac paid 2478

4. 8494*198= 1681812

here it will cost 1681812

5. 3102*480=1488960

6. announced = to reveal something

Answer:

5000

Step-by-step explanation:

Assuming they both work 365days

roughly 52 weeks

number of time sherry is paid per year = [tex]\frac{52}{2} = 26[/tex]

because she is paid every two weeks

number of time donna is paid per year = [tex]4[/tex]

because she is paid 4 times a year (quarterly)

let s =  amount sherry is paid biweekly

let d = amount donna is paid quarterly

[tex]s = \frac{26000}{26} = 1000\\\\d = \frac{26000}{4} = 6500\\\\difference = 65000 - 1000 = 5000\\[/tex]

Answer:

5500

Step-by-step explanation:

Answer:

81

Step-by-step explanation:

Answer:

-23h

Step-by-step explanation:

Answer:

2.4 cm

Step-by-step explanation:

i hope that I helped you.

Answer:

2:3

Step-by-step explanation:

2 is the greatest common factor, so divide both 4 and 6 by 2, which should result as 2:3.

hope this helps :)

Answer:

15

Step-by-step explanation:

Answer:

x= 16 ft

length = 4 ft

width = 11 ft

Step-by-step explanation:

The area is length* width

so the length is ( x - 12 )

and the width is ( x - 5 )

the area is 44ft

so now set up an equation and solve for x

( x - 12 ) ( x - 5 ) = 44

distribute

x^(2) - 17x + 60 = 44

inverse operations

x^(2) - 17x + 60 = 44

                - 60     - 60

x^(2) - 17x = -16

factor

x^(2) - 17x = -16

x ( x - 17 ) = -16

now it is pretty clear that the answer is:

x = 16

just substitute it into the equation and check

( x - 12 ) ( x - 5 ) = 44

( 16 - 12 ) ( 16 - 5 ) = 44

( 4 ) ( 11 ) = 44

44 = 44

this also shows that

the length is 4

because:

( x - 12 )

= ( 16 - 12 )

= 4

and the width is 11

because:

( x - 5 )

= ( 16 - 5 )

= 11

Answer:

k = -7

Step-by-step explanation:

-6k-3 = 39

Add 3 to each side

-6k-3+3 = 39+3

-6k = 42

Divide each side by -6

-6k/-6 = 42/-6

k = -7

Answer:

37 used beeds

Step-by-step explanation:

May i get brainiest

Answer:

The point-slope form of the equation of the parallel line is y - 3 =  [tex]\frac{3}{4}[/tex] (x - 4)

Step-by-step explanation:

Parallel lines have the same slopes and different y-intercepts

The slope-intercept form of the linear equation is y = m x + b, where

The point-slope form is of the linear equation is y - y1 = m(x - x1), where

∵ The equation of the given line is y = [tex]\frac{3}{4}[/tex] x - 3

→ Compare it with the first form of the equation above

∴ m =  [tex]\frac{3}{4}[/tex]

∴ The slope of it is  [tex]\frac{3}{4}[/tex]

∵ Parallel lines have the same slopes

∴ The slope of the parallel line is  [tex]\frac{3}{4}[/tex]

∵ The point-slope form is y - y1 = m(x - x1)

→ Substitute the value of the slope in the form of the equation above

∴ y - y1 =  [tex]\frac{3}{4}[/tex] (x - x1)

∵ The line passes through the point (4, 3)

∴ x1 = 4 and y1 = 3

→ Substitute them in the equation above

∴ y - 3 =  [tex]\frac{3}{4}[/tex] (x - 4)

∴ The point-slope form of the equation of the parallel line is

    y - 3 =  [tex]\frac{3}{4}[/tex] (x - 4)

Answer:1.5

Step-by-step explanation:

Answer: 4/5

Step-by-step explanation:

Slope=rise/run

In this case we start at (-2,0)

We rise up 4 and run to the right 5 until we are at (3,4)

Answer:

a. The sum of an odd and an even integer is odd: 3 + 2 = 5

b. The sum of two odd integers is an even integer: 3 + 5 = 8

c. The square of an odd integer is an odd integer: 3² = 9

d. . The product of two odd integers is an odd integer.: 3 x 5 = 15

Step-by-step explanation:

Proving the following statements using a direct proof;

a. The sum of an odd and an even integer is odd:

let the odd integer = 3

let the even integer = 2

3 + 2 = 5

5 is an odd integer, proved

b. The sum of two odd integers is an even integer.

let the first odd integer = 3

let the second odd integer = 5

3 + 5 = 8

8 is an even integer, proved

c. The square of an odd integer is an odd integer. .

let the odd integer = 3

3² = 9

9 is an odd integer, proved

d. The product of two odd integers is an odd integer.

let the first odd integer = 3

let the second odd integer = 5

3 x 5 = 15

15 is an odd integer, proved

Answer:

a. The sum of an odd and an even integer is odd: 3 + 2 = 5

b. The sum of two odd integers is an even integer: 3 + 5 = 8

c. The square of an odd integer is an odd integer: 3² = 9

d. . The product of two odd integers is an odd integer.: 3 x 5 = 15

Step-by-step explanation:

Proving the following statements using a direct proof;

a. The sum of an odd and an even integer is odd:

let the odd integer = 3

let the even integer = 2

3 + 2 = 5

5 is an odd integer, proved

b. The sum of two odd integers is an even integer.

let the first odd integer = 3

let the second odd integer = 5

3 + 5 = 8

8 is an even integer, proved

c. The square of an odd integer is an odd integer. .

let the odd integer = 3

3² = 9

9 is an odd integer, proved

d. The product of two odd integers is an odd integer.

let the first odd integer = 3

let the second odd integer = 5

3 x 5 = 15

15 is an odd integer, proved

Answer:

[tex]\frac{5}{3}[/tex] is the slope of the line

Step-by-step explanation:

When two lines are perpendicular, their slopes are inverse.

[tex]\frac{3}{5}[/tex] becomes [tex]\frac{5}{3}[/tex] because they are inverse. Just flip the numerator (top number) and denominator(bottom number).

Hope this helps!