Reindeers eat 62 apples an hour, there is 24 hours in a day, how many do they eat

Given that (3^-2×4^-2)^-3 = 12^x

⇛ [(3×4)^-2]^-3 = 12^x

Since a^m × b^m = (ab)^m

⇛(12^-2)^-3 = 12^x

⇛ 12^(-2×-3) = 12^x

Since (a^m)^n = a^mn

⇛ 12^6= 12^x

⇛6 = x

Since the bases are equal then exponents must be equal

Therefore,x = 6

Additional comment:-

If the bases are equal then exponents must be equal.

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Answer:

[tex]P = {y}^{2} + 2z \\ = {3}^{2} + 2( - 4) \\ = 9 - 8 \\ \color{red} \boxed{P =1}[/tex]

Answer:

P = 1

Step-by-step explanation:

P = [tex]y^{2}[/tex] + 2 (-4)

P= [tex]3^{2}[/tex] + -8

P = 9 + -8

P = 1

Hope this helps!

Answer:

A. 9

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

You always find the intercepts by setting the known coordinate to its known value and solving for the value of the unknown coordinate.

An x-intercept is always found on the line y=0. Setting y=0 and solving for x, we find ...

  0 = 2 -3x -2x^2

  x^2 +3/2x -1 = 0 . . . . . . . . . . . . . . . . divide by -2

  (x2^2 +3/2x +(3/4)^2) -1 -(3/4)^2 = 0 . . . . . complete the square

  (x +3/4)^2 = 25/16 . . . . . add 25/16 and write as a square

  x +3/4 = ±5/4 . . . . . . . take the square root

  x = -3/4 ±5/4 = -8/4, +2/4

The x-intercepts are -2 and +1/2.

__

A y-intercept is always found on the line x=0. Setting x=0 and solving for y, we find ...

  y^2 = 2 -0 -0

  y = ±√2

The y-intercepts are -√2 and +√2.

_____

A graphing calculator can give you a good idea of what the intercepts are.

Answer:

Rr = 51 : 68

Step-by-step explanation:

Here's the perfect answer.

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Answer:

is the line are perpendicular then the product of there slope is -1

the slope of the first equation is 2

Step-by-step explanation:

m1+m2=-1

2+m2=-1

m2=-1-2

m2=-3

so the second equation became y=-3x+C

then insert the point (-1,2)

2=-3*-1+C

2=3+C

C=2-3

C=-1

so y=-3x-1

Hope that helps

Answer:

24

Step-by-step explanation:

First of all to check whether a number is divisible by 3 or not. We have to add the numbers and if the result is divisible by 3. Our number is divisible by 3 (no doubt). So 72 (7+2=9 is divisible by 3) ÷3 = 24

Using a system of equations, it will take 5 weeks for Shop B to repair as many cars as Shop A.

A system of equations is called simultaneous equations.

Simultaneous equations are two or more equations solved concurrently.

                                                              Shop A  Shop B

The number of cars already repaired      55         30

The number of cars repaired per week   5           10

Let the number of cars repaired by Shop A in w weeks = 5w + 55

Let the number of cars repaired by Shop B in w weeks = 10w + 30

For the number of cars repaired by each shop to equate, 5w + 55 = 10w + 30

5w - 10w = 30 - 55

-5w = -25

w = 5

Thus, using simultaneous equations, we can conclude that it will take Shop B 5 weeks to repair as many cars as Shop A.

Learn more simultaneous equations at https://brainly.com/question/148035

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Answer:

y = 7

Step-by-step explanation:

y = -x + 5

when x = -2

y = - (-2) + 5

Double negative is positive

y = 2 + 5

y = 7

Answer:

y=7

Step-by-step explanation:

When x=-2,

y=-x+5

 =-(-2)+5

 =2+5

 =7

Answer:

28 6

Step-by-step explanation:

count by four and six

Answer:

130542

Step-by-step explanation:

FV=48000(2.7196)

FV=130542

Answer:

y=4x+6

Step-by-step explanation:

Answer: it would be A

Step-by-step explanation:

x the cost in dollars of a hamburger and y the cost in dollars of a soft drink.

The cost of 4 hamburguers can be represented with this expression:

4x

And the cost of 6 soft drinks  can be represented with this expression:

6y

The total cost for 4 hamburgers and 6 soft drinks is $34, you can write the following equation

3x+6y=24

The following expression represents the the cost of 3 soft drinks:

3y

According to the information given in the exercise, the total cost for 4 hamburgers and 3 soft drinks is $25. Then, the equation that represents this is:

4x+3y=22

Answer:1001

Step-by-step explanation:

Answer:

Slope: -5/3 , Y-intercept: (0,5)

Step-by-step explanation:

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Answer:

XY = 16 ft

Step-by-step explanation:

The mid segment DE is half the sum of the parallel bases, that is

[tex]\frac{XY+WZ}{2}[/tex] = 20 ( multiply both sides by 2 to clear the fraction )

XY + WZ = 40

XY + [tex]\frac{3}{2}[/tex] XY = 40 ( multiply through by 2 to clear the fraction )

2XY + 3XY = 80

5XY = 80 ( divide both sides by 5 )

XY = 16

Answer: 13

Step-by-step explanation: 6.5 x 2=13

Answer:

x=13

Step-by-step explanation:

13/2=6.5

Answer:

81

Step-by-step explanation:

9×9=81

also known as 9²

Answer:

Below

Step-by-step explanation:

1. 3x+9=5

2.  3x+9-9=5-9

3. 3x=-4

5. 3x/3=-4/3

6. -4/3

7. -1 1/3

Answer:

The answer is -4/3 or - 1 1/3

Step-by-step explanation:

3x+9= 5

    -9    -9

3x = -4

 /3    /3

Y= -4/3 or [tex]-1\frac{1}{3}[/tex]

Step 1: Add subtract 9 to both sides because you want to cancel out the 9 so you do the opposite of what is say's. For example, if it says 3x-9 add 9 or 3x+9 subtract 9 from both sides.

Step 2: Add subtract 9 to 5 which would be -4. So you should have 3x= -4 now

Step 3: Since you're "multiplying" 3 to x you're going to divide 3 to get Y by itself. So 3/3 cancels out and now you're left with y

Step 4: Divide 3 from -4 and you get -4/3

Let me know if you have any questions and I hope this helps :)

Answer:

$36

Step-by-step explanation:

$13 babysitting, $9 saved.

$52 babysitting, $x saved.

Cross multiply

13/13x=468/13

Divide both sides by 13

x=$36

Answer:

The coastline of alaska is longer than the entire coastline of the lower forty-eight states

Answer:

15) (1, 1) and (-1, 1)

16) (1, 2) and (-1, 2)

17 (1,1/2) and (-1, 1/2)

18) (1,1/4) and (-1, 1/4)

19) 16 is vertical stretch, 17 and 18 is vertical compressed

Step-by-step explanation:

for qs 15-18 since x is 1 or -1 if you sq 1 or -1 you will always get 1

so y is the "a" value in the equation  y=ax²

for qs 19

y=ax²

so if a>1 -- then vertical stretch

when 0<a<1 -- then vertical compressed

Answer:

7.14

Step-by-step explanation:

Given: x=6

By substituting value of x as 6 in the given expression, we get:

[tex]f(6) = {x}^{3} - 6x + 1[/tex]

[tex]→f(6) = {6}^{3} + (6 \times 6) - 1[/tex]

[tex]→f(6) = 216 - 36 + 1[/tex]

Now, using integer sign property,

[tex]→f(6) = 216 - 35[/tex]

[tex]→f(6) = 181[/tex]

Therefore, f(6)=181

Answer:

6×3×4= 72 unit cubes

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