Enrollment in a dance studio has grown exponentially since the studio opened. A graph depicting this growth is shown. Determine the percentage rate of growth.


0.25%
1.25%
2.5%
25%

Answer:

a = -1/2 & k = 3/7

Step-by-step explanation:

Solve for a over the real numbers:

24 a^3 + 8 a^2 + 6 a + 4 = 0

The left hand side factors into a product with three terms:

2 (2 a + 1) (6 a^2 - a + 2) = 0

Divide both sides by 2:

(2 a + 1) (6 a^2 - a + 2) = 0

Split into two equations:

2 a + 1 = 0 or 6 a^2 - a + 2 = 0

Subtract 1 from both sides:

2 a = -1 or 6 a^2 - a + 2 = 0

Divide both sides by 2:

a = -1/2 or 6 a^2 - a + 2 = 0

Divide both sides by 6:

a = -1/2 or a^2 - a/6 + 1/3 = 0

Subtract 1/3 from both sides:

a = -1/2 or a^2 - a/6 = -1/3

Add 1/144 to both sides:

a = -1/2 or a^2 - a/6 + 1/144 = -47/144

Write the left hand side as a square:

a = -1/2 or (a - 1/12)^2 = -47/144

(a - 1/12)^2 = -47/144 has no solution since for all a on the real line, (a - 1/12)^2 >=0 and -47/144<0:

Answer: a = -1/2

______________________________________

Solve for k over the real numbers:

(7 k - 3) (k^2 - 2 k + 7) = 0

Split into two equations:

7 k - 3 = 0 or k^2 - 2 k + 7 = 0

Add 3 to both sides:

7 k = 3 or k^2 - 2 k + 7 = 0

Divide both sides by 7:

k = 3/7 or k^2 - 2 k + 7 = 0

Subtract 7 from both sides:

k = 3/7 or k^2 - 2 k = -7

Add 1 to both sides:

k = 3/7 or k^2 - 2 k + 1 = -6

Write the left hand side as a square:

k = 3/7 or (k - 1)^2 = -6

(k - 1)^2 = -6 has no solution since for all k on the real line, (k - 1)^2 >=0 and -6<0:

Answer: k = 3/7

Answer:

$35.05

Step-by-step explanation:

3 $20 bills turns into $60 and 60-24.95=35.05

Answer:

$5150

Step-by-step explanation:

p = 5000

r = 0.03

t = 1

5000 * (1.03) = 5150

Answer:

The median {Q2} is 10

Q1 is 7+7/2 which is 7

Q3 is 15+12/2 which is 13.5

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

its coreect

Answer:

34.996 to 2 dcp is 35.00

Step-by-step explanation:

6 rounds up 9 goes to 10 add the 1 left over to make the units number equal 5 but as it is decimal place remember to add the 0's

Answer:

35.00

Step-by-step explanation:

just don't leave the zeros.

Answer:

n = -20

Step-by-step explanation:

[tex]-1 +\frac{n}{2} = -11\\[/tex] add 1 on each side

[tex]\frac{n}{2} = -11 + 1\\\\\frac{n}{2} =-10[/tex]multiply by 2

n = -20

Answer:

3x-y=2

Step-by-step explanation:

y=3x-2

(y-3x)=-2

-3x+y=-2

change the signs on both sides

3x-y=2

=3x-y=2

Answer:

5530

Step-by-step explanation:

Answer:

Step-by-step explanation:

50 times 9 equals 450

then add the 5050 and 30 to get 5080

then add up 5080 and450 and get your answer of 5530

Answer:

2.88?

Step-by-step explanation:

Answer:

90km/h

Step-by-step explanation:

speed =distance / time

distace = 6

time = because we have hours we have to convert the minute into an hour so

4/60 so that woul be: 0.06666666666

and 0.06666666666 times 6 is 90

i hope that helps

Answer:

option D; 20/3 OR 6 2/3

Step-by-step explanation:

CONVERT THE HOURS INTO MINUTES;

3/4 × 60 = 45 mins

1hour = 60 mins

45 mins = 5 miles

60 mins = ??

cross multiply;

60 by 5 ÷ 45 to get 20/3.

Answer:

didn't i answer this on your last post?

We need to get x by itself.

We do that by subtracting 5 from both sides.

This leaves us with x = -7.

So x = -7 is the solution.

Answer:

The final answer is [tex]x = -7[/tex] .

Step-by-step explanation:

Solve the equation:

[tex]5 + x = -2[/tex]

Subtract both sides by 5:

[tex]5 - 5 + x = -2 -5[/tex]

[tex]x = -7[/tex]

So, therefore, [tex]x = -7[/tex] is the final answer.

Y=7

Step-by-step explanation:

Move all terms not containing y to the right side of the equation.

4y=22+6

Then add 22 and 6.

4y=28

Divide each term in 4y=28 by 4

4y÷4=28÷4

Cancel the common factor of 4 in the first part of the equation so it looks like this...

y=28÷4

Divide 28 by 4.

Therefore y=7

Hope this helps! If you have any more questions or you need further clarification on anything then please comment down below! Good luck!

Answer:

24th floor

Step-by-step explanation:

To get the number of the floor you were originally on, you add the number of floors you went down to the current floor you are on so 16 + 8 = 24

Answer:

24

Step-by-step explanation:

x-8=16

16+8=24

Answer:

Breyers is the correct answer

Step-by-step explanation:

$4.50/30 oz = .15

$15.36/128 oz = .12

$2.88/16 oz = .18

Answer:

64

Step-by-step explanation:

put branileist

Answer:

Step-by-step explanation:

72 cuz u multiply 6x3x4=72

Answer:

where's the picture I can't see it

According to the graph, I can see

42 Miles = 68 Kilometers

32 Miles = 22 Kilometers

The distance between London and Cardiff is 240 Kilometers

Mile is under the Imperial System and

Kilometers is under the metric system.

The metric units used for measuring length, mass, area and capacity. For example, millimeters, centimeters, meters, and kilometers are the metric units of the measurement of length. Grams and kilograms are the units for measuring weight.

Learn more about Measuring System here

https://brainly.com/question/1578673

#SPJ2

Answer:

180

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

the original price * 80% = 144

Change to decimal form

the original price * .80 = 144

Divide each side by .80

the original price * .80/.80 = 144/.80

the original price =180

Answer:

13/b I think

Step-by-step explanation:

Answer:

x ≥ 0

Step-by-step explanation:

The domain of the profit function G(x) is the set of all possible values that "x" could assume. In this function, "x"represents the sales in thousand of dollars, therefore the minimum possible value is zero (scenario in which there are no sales). Assuming an hypothetical scenario in which the company has an infinite supply capacity, there is no upper limit for what their sales might be. Thus, the domain for the function is x ≥ 0.

Answer:

x > or equal to 0

Step-by-step explanation:

The question is not properly written

Correct Question

A standard deck of 52 cards contains 4 suits: hearts, clubs, diamonds, and spades. Each suit consists of cards numbered 2 through 10, a jack, a queen, a king, and an ace.

Anthony decides to pick one card at random from a standard deck of 52 cards. Let A be the events that he chooses an ace and H be the event that he chooses a heart.

What is P ( A or H), the probability that the card Anthony chooses is either an ace or a heart?​

Answer:

2/13

Step-by-step explanation:

From the question, we have in total, 52 cards.

Step 1

We find the probability that Anthony chooses an Ace.

Number of ace cards in each of four suits namely spades, hearts, diamonds and clubs = 1

Therefore, total number of ace cards out of 52 cards = 4

P(A) = 4/52

Step 2

We find the probability that Anthony chooses an Ace.

Probability that Anthony chooses an heart P(H) = 4/52

Step 3

The probability that the card Anthony chooses is either an ace or a heart

P ( A or H) = P(A) + P(H)

= 4/52 + 4/52

= 8/ 52 = 2 /13

Answer:

n=2m

Step-by-step explanation:

If she watches 2 movies a month (2m), plug in any number and it will give you how many movies (n) she will watch in however many months.

Answer:

2n

I hope I helped you! If I am correct, please makr me brainiest. Thanks!

Answer:

3.294

Step-by-step explanation:

The standard form of the given number is [tex]3294000[/tex].

Important information:

in a calculator, the numbers on the right side of E are the exponent of 10. So, the scientific notation of the given number is:

[tex]3.294E6=3.294\times 10^6[/tex]

It can be written as:

[tex]3.294E6=3.294\times 1000000[/tex]

[tex]3.294E6=3294000[/tex]

Therefore, the standard form of the given number is [tex]3294000[/tex].

Find out more about 'Standard form' here:

https://brainly.com/question/13139379

Answer:

? =8.77

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opposite side/ hypotenuse

sin 20 = 3 / ?

? = 3/ sin 20

? = 8.7714132

To the nearest hundredth

? =8.77

Answer:look at picture

Step-by-step explanation:

Answer:

the sum of the angles pythagorean theorem is a^2+b^2=c^2

Also, the angles of a triangle will add up to 180 degrees

this practice is most commonly found in right triangles

Step-by-step explanation:

Answer: The value of x is  -2.

Step-by-step explanation:

y= 1/2x + 2

y= -3/2x-2

1/2x + 2  = -3/2x -2

         +2               +2

1/2x  + 4 = -3/2x

-1/2x            -1/2x

          4= -2x

   x= -2      

Answer:

[tex]2( \frac{1}{2} \times 15 \times 28 ) + ( 25 \times 30 ) + ( 17 \times 30) + ( 28 \times 30 ) \\ = 2520 {cm}^{2}[/tex]

Answer:

x = 9

y = 6

Step-by-step explanation:

3x+6i=27+yi

The real components have to be equal and the imaginary components have to be equal

3x = 27

divide by 3

3x/3 = 27/3

x=9

6i = yi

Divide by i

6 = y

Answer:

x=9, y=6

Step-by-step explanation:

Step-by-step explanation:

we have

3x+6i=27+yi

Equate the Real Numbers

3x=27

solve for x

Divide by 3 both sides

x=27/3=9

Equate the  Imaginary Numbers

6i=yi

Simplify

6=y

Rewrite

y=6

therefore

x=9, y=6