A driver descends -15 after 1 minute, -30 feet after 2 minutes and -45 after 3 minutes? If the driver keeps descending at this rate, what is their position after 12 minutes

Answer:

[tex]k=14[/tex]

Step-by-step explanation:

Completing the square gives

[tex]x^4 + kx^2 + 49\\= (x^2+7)^2 - 14x^2 + kx^2[/tex]

So we have to cancel the latter two terms out for the expression to always become a square (otherwise we are dealing with a square plus something else, which doesn't always result in a square), giving us our answer directly.

Answer:

k=± 14

Step-by-step explanation:

[tex]x^4+kx^2+49\\Disc.=b^2-4ac=k^2-4*1*49\\it ~ is ~a ~ perfect ~ square.\\k^2-196=0\\k^2=196\\k= \pm 14[/tex]

Answer:

-11/12

Step-by-step explanation:

Answer:

-11

12

Step-by-step explanation:

You have to add the numbers, multiply them, subtract them and then finally divide.

Answer:

Step 1: Simplify both sides of the equation.

4/8x−6=−24

1/2 x+−6=−24

1/2 x−6=−24

Step 2: Add 6 to both sides.

1/2 x−6+6=−24+6

1/2x=−18

Step 3: Multiply both sides by 2.

2*( 1/2

x)=(2)*(−18)

x=−36

Answer:

x=−36

Answer:

2*2*3*7

Step-by-step explanation:

Answer:

Step-by-step explanation:

I look at 84 and see that it will be divisible by 4

84/4=21

21=7*3

84=2^2 * 3 * 7

Answer:

(6,0)

Step-by-step explanation:

Used Desmos Scientific calculator.

Puedes separar los grupos en:

los que solo toman clases de piano; p

los que solo toman clases de violin: v

los que toman clases de piano y violin; 5

A) para determinar cuántos estudiantes no toman ni piano ni violin, podemos hallar el número total de estudiantes que toman clases solo de piano y los que toman solo de violín y los que toman ambas clases, de la siguiente forma:

Estudian solo piano, p = 14 - 5= 9

Estudian solo violín, v = 29 - 5 = 24

Estudian ambos: 5

Total de estudiantes que toman clases de esos instrumentos : 9 + 24 + 5 = 38

Por tanto, hay 40 - 38 = 2 estudiantes que no toman clases de piano ni violín.

B) ¿cuántos estudiantes toman clases de piano o violín?

Son los que tocan solo piano, o solo violín o ambos y los  hallamos arriba:  9 + 24 + 5 = 38.

Respuesta: 38

C) ¿Cuántos estudiantes tocan solo violín?

También lo encontramos arriba: son 29 - 5 = 24

Respuesta: 24

Answer:

15

Step-by-step explanation:

Answer:

4r^12 t^2

Step-by-step explanation:

Use the exponants : ( 8r^6t^3 )/4t^2

simplifie :( 2r^6t^3 )/t^2

Use the exponent : ( 2r^6t^3 )/t^2 = 4r^12t^2

Answer:

5x4 x 3 /10

20x 3 /10

60/10

6

Answer:

Step-by-step explanation:

[tex]5* 4 \frac{3}{10}=5* \frac{(4*10)+3}{10}\\\\= 5*\frac{43}{10}\\\\= \frac{43}{2}\\\\= 21 \frac{1}{2}[/tex]

Answer:

This type of transformation is a horizontal stretch.

Step-by-step explanation:

Given

[tex]y = x + 4[/tex]

[tex]y = .5x + 4[/tex]

Required

Determine the type of transformation

The first function can be expressed as:

[tex]f(x) = x + 4[/tex]

While the second function is:

[tex]g(x) = f(0.5x)[/tex]

Solving f(0.5x), we have to substitute 0.5x for x in [tex]f(x) = x + 4[/tex]

[tex]f(0.5x) = 0.5x + 4[/tex]

So:

The second function is:

[tex]g(x) = 0.5x + 4[/tex]

This type of transformation is a horizontal stretch.

i.e. f(x) stretched to g(x)

Answer:

, so easy

Step-by-step explanation:

3×2.7mm=8.1mm

Answer:

8.1mm

Step-by-step explanation:

equilateral triangle all sides are equal.

If 1 side is 2.7mm what will be the total of three sides. 2.7+2.7+2.7=8.1mm

Answer: 225

Step-by-step explanation: 18,000 divided by 80 minutes wich is 1 hour and 20 minutes is 225

The average of visitors entry in park per minute is 225.

A number expressing the central or typical value in a set of data, in particular the mode, median, or (most commonly) the mean, which is calculated by dividing the sum of the values in the set by their number.

Given,

Total number of visitors entered in park Between 9:00 a.m. and 10:20 a.m. = 18000

There is total of 80 minutes Between 9:00 a.m. and 10:20 a.m.

Average of visitors entry in park per minute =  [tex]\frac{18000}{80}[/tex]

= 225

Hence, average of visitors entry in park per minute is 225.

Learn more about Average:

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Answer:

I do not understand the question?

Step-by-step explanation:

Answer:

x= -11 I hope this helps!

Step-by-step explanation:

Answer:

x=-11

Step-by-step explanation:

/=division

*=multiplication

-1=(5+x)/6

-1*6=(5+x)/6*6

-6-5=5+x-5

-11=x

Answer:

yes it is

Step-by-step explanation:

The point (3,8) is not a solution of system of equation. Explanation given below.

Simultaneous equations are any equations with the same number of unknowns that may be solved at the same time. The system of equations is a simultaneous equation.

Given system of equation,

y=7x + 8

y=x + 1

To find that the point (3,8) is a solution of system of equation,

we substitute the point to both of these equation and verify if that point is satisfying the equation or not.

In the first equation, x=3 and y =8

we get, 8 = 29

which is contradiction.

In the second equation ;

we get, 8 = 4.

Which is also contradiction.

Therefore, the equations do not have the solution (3 , 8).

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Answer:

C

Step-by-step explanation:

Remark

There are three rectangles all the same size.

There are two triangles both the same size

Triangles.

Givens

b = 7.5 cm

h = 6.5

Solution

Area 1 triangle =   1/2 * 7.5 * 6.5

Area 1 triangle = 24.375

Area 2 triangles = 2*24.375 =                            48.75

Rectangles

Givens

L = 13.5

w = 7.5

Solution

Area one rectangle = L*w

Area one rectangle = 13.5*7.5

Area one rectangle = 101.25

Area three rectangles =  3*101.25

Area three rectangles =                                   303.75    Add

Total Area =                                                      352.5              

Answer:

The answer would be (-2, -5)

Step-by-step explanation:

3x - 8y= 34

2(7x + 4y = -34)

3x - 8y=34

14x + 8y= -68

----------------------

     17x= -34    divided by 17

       x = -2

3(-2) -8y= 34

-6 -8y =34 add 6

   -8y= 40  divide by -8

      y = -5

if you want to check the answer replacing -2 for x and -5 for y

7(-2) + 4(-5)= -34

-14 + (-20) = -34

-34 = -34

I hope this help sorry I'm not good explaining

Answer:

the price earning ratio is 6.67

Step-by-step explanation:

The computation of the price earning per share is shown below:

As we know that

Price earning ratio = Current price ÷ earning per share

= ($4 ÷ 0.15) ÷ ($4)

= 6.67

Hence, the price earning ratio is 6.67

It shows the relationship between the current price and the earning per share

Answer:

[tex]x=64^{\circ}[/tex]

Step-by-step explanation:

We know that sum of angles of a quadrilateral is equal to 360 degrees.

It means,

[tex]\angle X+\angle Y+\angle Z+\angle W=360\\\\100+130+66+x=360\\\\296+x=360\\\\x=360-296\\\\x=64^{\circ}[/tex]

So, the value of x is equal to [tex]64^{\circ}[/tex].

Answer: 24lb

I think is the answer. Sorry if I am wrong.

Step-by-step explanation:

Answer:

13/7

Step-by-step explanation:

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

m=(7-(-6))/(4-(-3))

m=(7+6)/(4+3)

m=13/7

Answer:

C. and B.

Step-by-step explanation:

Hope this helps:>

Answer:

5/12

Step-by-step explanation:

11/22 becomes 1/2

18/24 becomes 3/4

5/15 becomes 1/3

Answer:

70 caps, 72 hotdogs, 50 paintings, 8 scouts

Step-by-step explanation:

Answer:

71.6 degrees

Step-by-step explanation:

Given the vectors

u= <8,4> v = <9.-9> (5 points)

u*v = (8, 4)*(9, -9)

u*v = 8(9)+(4)(-9)

u*v = 72 - 36

u*v = 36

|u| = √8²+4²

|u| = √64+16

|u| = √80

|v| = √9²+9²

|v|  = √81+81

|v|  = √162

Using the formula

u*v = ||u||v| cos theta

36 = √80(√162)cos theta

36 = √12960 cos theta

cos theta = 36/√12960

cos theta = 36/113.8

cos theta = 0.3162

theta = arccos(0.3162)

theta = 71.56 degrees

Hence the angle between the given vectors to the nearest tenth of a

degree is 71.6 degrees

Answer:

YOU GOT THIS!!

Answer:

6t-5

x should be the constant term. just guess

Answer:

I think the answer is 6t-5 I don't really know.

Step-by-step explanation: