All the dimensions of a pentagon were multiplied by the same factor, and the area of the figure changed by a factor of
25. By what factor were the dimensions of the pentagon multiplied?

a) 12.5
b) 625
c) 5
d) 50

Answer:

Step-by-step explanation:

a^x. a^y=a^{x+y}

4²*4^8=4^{10}

Answer:

4 to the power of 10

Step-by-step explanation:

Answer:

175 /2

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

it would be a parabola not linear

Answer:

-50x + 40

Step-by-step explanation:

10(-5x+4)

-50x + 40

Answer:

Greater Than [The second choice]

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x11=22

3(3+x)

22=9x+3x

Subtract nine

13=3x

Multiply 13 by 3=13/3

Convert to decimal

Answer is:4.3

Answer:

hi

Step-by-step explanation:

Irrational numbers are numbers that cannot be expressed as the ratio of two whole numbers. 

Answer:

b = 21 ft is the answer.

Step-by-step explanation:

a = 28 ft

b = ?

c = 35 ft

According to the Pythagoras theorem,

a² + b² = c²

28² + b² = 35²

784 + b² = 1225

b² = 1225 - 784

b² = 441

b = 21 ft

∴ b = 21 ft is the length of the missing leg.

Answer:

1. quarter turn 2. B 3. (b,-a)

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Count the amount of answers she got.

Answer:

2x - 3 = 5(x + 6)

2x - 3 = 5x + 30

-33 = 3x

x = -11

Answer:

x= -11

Step-by-step explanation:

1. Expand and distribute.  

2x - 3 = 5x + 30

2.  Subtract 2x from both sides.

2x - 3 = 5x + 30

-2x        -2x

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

    -3 =  3x + 30

4 Subtract 30 from both sides.

-3 =  3x + 30

-30           -30

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

-33 = 3x      

6. Divide both sides by 33.

-33/3 = 3x/3

-11 = x

7. Switch sides

x = -11

Answer:

y = -3

x = 1

Step-by-step explanation:

6x-4y=18

3x+2y=-3, so 3x = -2y - 3, then x = (-2y - 3)/3

substitute for x:

6((-2y - 3)/3) - 4y = 18

2(-2y - 3) - 4y = 18

-4y - 6 - 4y = 18

-8y - 6 = 18

-8y = 24

y = -3

x = (-2(-3) -3)/3 = 1

Answer:

(10.891; 15.869)

Step-by-step explanation:

Given the data::

15, 11, 19, 24, 6, 18, 20, 15, 18, 12, 14, 19, 5, 21, 12, 11, 8, 10, 7, 2, 14

The confidence interval is obtained using the relation :

Mean ± margin of error

Margin of Error = Zcritical * s/sqrt(n)

Using a calculator, the mean value of the data and standard deviation above is :

Mean = Σx / n ; n = sample size

Mean, xbar = 281 / 21

Mean = 13.38

Standard deviation , s = sqrt[Σ(X - xbar)²/ n-1]

Standard deviation, s = 5.82

Margin of Error = Zcritical * s/sqrt(n)

Zcritical at 95% confidence level = 1.96

Margin of Error = 1.96 * 5.82/sqrt(21) = 2.489

Confidence interval :

Mean ± margin of error

13.38 ± 2.489

Lower boundary = (13.38 - 2.489) = 10.891

Upper boundary = (13.38 + 2.489) = 15.869

(10.891; 15.869)

Answer: for b. Step-by-step explanation: The random sample would show multiple outcomes of the carrot growth and the combinations, i believe

Answer:

m = -3/4

Step-by-step explanation:

-5 - 1 / 6 - -2 = -6/8 = -3/4

Answer:

Step-by-step explanation:

(-5 - 1)/(6 + 2)= -6/8 = -3/4

9514 1404 393

Answer:

  x = 12.75

  ∠C = 51.75°

Step-by-step explanation:

The two marked angles are complementary, so ...

  (5x -12) +(3x) = 90

  8x = 102

  x = 102/8

  x = 12.75

__

C = (5x -12)° = (5(12.75) -12)°

  ∠C = 51.75°

__

Check

E = 3x = 38.25, then C+E = 51.75 +38.25 = 90 . . . . as it should

ANSWER

l

Or

Or

EXPLANATION

The given line has slope,

and

We can find the equation in the point slope form, which is given by,

We substitute the point and slope to get,

We can also simplify further to get,

We make y the subject to get,

This is called the slope intercept form.

We could also write in standard form to get

Or

Divide Total time into two Time Periods. A regular Demand and a High Demand Time Period. Since 75% of the 1,200 calls occur between 9:30 am and 3:30 pm. We multiply .75 x 1,200 to get 900. We get an average of 900 calls every day between the hours of 9:30 am and 3:30 pm – Our net time for this time period is 6 hours.

Therefore, 6 Hours/900 becomes our quotient

Again, since the denominator is larger we invert it to 900 calls/6 Hours

To get a demand of 150 calls per hour.

We need to be able to handle 150 calls per hour.

So how Many Call Representatives are needed?

Again, our historical data tells us that each person can handle 10 calls an hour.

Therefore 150 calls per hour /10 Minutes = 15 Customer Service Representatives are needed during Peak Time!

Now, Subtract the Peak Hours from the 21 Hours Net Time Per day, gives us 15 Non-Peak hours we have to staff.

Answer:

12,6,3

Step-by-step explanation:

its dividing by half

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

x^2 + 5^2 = 13^2

x^2 + 25 = 169

x^2 = 144

---> x = 12

Answer:

11/10 or 1 1/10

Step-by-step explanation:

110%=110/100

Now let's simplify 110/100:

11/10

Hope this helped! :)

Answer:

1 1/10

Step-by-step explanation:

Hope this helps and have a great day!!!!

Answer:

his fees that he will pay in april on his checking account is 34.02$  

Step-by-step explanation:

See attatched picture

Answer:

x = -7

Step-by-step explanation:

14(x - 2) = 3(-42)

14x - 28 = -126

14x = -126 + 28

14x = -98

x = -7

Answer:

It is negative ten-

Step-by-step explanation: