Simple approved by trying title to the statements and reasons columns

Answer:

  a) 9^2

  b) 9^(1/2)

  c) 9^(3/2)

Step-by-step explanation:

It is perhaps easier to start by using 3^n.

  3 = 3^1

  27 = 3^3

  81 = 3^4

Recognize that 3 = 9^(1/2) and replace 3 in each of the above. The applicable rule of exponents is (a^b)^c = a^(bc).

a) 81 = (9^(1/2))^4 = 9^2

b) 3 = 9^(1/2)

c) 27 = (9^(1/2))^3 = 9^(3/2)

Answer:

(a) 9^2

(b) 9^0.5

(c) 9^1.5

Step-by-step explanation:

We need to find n such that 9^n = value indicated.

Recall that n=2 is a square, so

(a) 9^2=9*9=81

Recall that n=0.5 (or 1/2) is a square root, because 9^0.5 * 9^0.5 = 9^1 = 9, so

(b) 9^0.5 = 3, because 3*3 = 9

Recall that multiplication of two powers with the same base is the sum of the exponents, e.g. 9^a * 9^b = 9^(a+b).

Therefore,

(c) 27 = 9*3 = 9^1 * 9^0.5 = 9^(1+0.5) = 9^1.5

Given:

Consider the below figure attached with this question.

To find:

The conclusion that can be determined from the dot plot.

Solution:

The number of dots in the dot plot is 15. So, the number of observations is 15 and option D is correct.

The data set represented by the dot plot is:

2, 2, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6

Number of observations is 15, which is an odd number. So, the median of the data set is:

[tex]Median=\dfrac{15+1}{2}\text{th term}[/tex]

[tex]Median=\dfrac{16}{2}\text{th term}[/tex]

[tex]Median=8\text{th term}[/tex]

[tex]Median=4[/tex]

The median of the data set is 4. So, option A is incorrect.

Mean of the data set is:

[tex]Mean=\dfrac{\text{Sum of all observations}}{\text{Number of observations}}[/tex]

[tex]Mean=\dfrac{2+2+3+3+3+4+4+4+4+4+5+5+5+6+6}{15}[/tex]

[tex]Mean=\dfrac{60}{15}[/tex]

[tex]Mean=4[/tex]

The mean of the data set is 4. So, option B is incorrect.

The range of the data set is:

[tex]Range = Maximum - Minimum[/tex]

[tex]Range = 6-2[/tex]

[tex]Range = 4[/tex]

The range of the data set is 4. So, option C is incorrect.

Therefore, the correct option is D.

Answer:

solved graphically,

it's just the point where the two lines intersect

Answer:

a is -1

b is 31

c is 7

Step-by-step explanation:

-x^2+31x+1=0

ax^2+bx+c=0

Answer:

because it has the words "less than", the "-2" is after the multiplication which is "2n" so the answer is...

D.) 2n-2

Step-by-step explanation:

Answer:

[tex] {5}^{2x + 1} \div 25 = 125[/tex]

[tex] {5}^{2x + 1} \div 5² = 5³[/tex]

doing crisscrossed multiplication

[tex] {5}^{2x + 1}=5³×5²[/tex]

In multiplication common numbers is added

[tex] {5}^{2x + 1}=5^{3+2}[/tex]

If there is a same term than it can be add ,subtract .

;.

2x+1=5

2x=5-1

x=[tex] 4\div 2 [/tex]

x=2 is a required answer.

Answer:

the temperature is above zero

Step-by-step explanation:

hope it helps

Answer:

.7 or 7/10

Step-by-step explanation:

buddy+teddy:2.9

socko+peanut:2.2

2.9-2.2=.7

Step-by-step explanation:

a) the ratio between their altitudes = 3:5

b) the ratio between their base areas = 9:25

c) the ratio between their lateral edges = 3:5

d) the ratio between their volumes = 27:125

e) the ratio between their lateral areas =9:25

Answer:15

Step-by-step explanation:

Answer:2x>3

Step-by-step explanation:

2

>

3

3

+

6

<

1

2

4

2

>

1

2

Answer:

∠ A ≈ 44.42°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos A = [tex]\frac{adjacent}{hypotenuse}[/tex]  = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{5}{7}[/tex] , then

∠ A = [tex]cos^{-1}[/tex] ([tex]\frac{5}{7}[/tex] ) ≈ 44.42° ( to the nearest hundredth )

Answer:

C' (- 3, 2 )

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

C (3, 2 ) → C' (- 3, 2 )

Answer:

Step-by-step explanation:

Looking at the tables, we observe that:

Answer:

The answer is D.

Step-by-step explanation:

Answer:

9 candies

Step-by-step explanation:

You are required to find the number of candies in your pocket

Let

x = number of candies in your pocket

A friend gives you five more candies.

Total candies = 14

This can be represented by the equation:

Total candies = candies in your pocket + candies your friend gave you

14 = x + 5

14 - 5 = x

9 = x

x = 9 candies

x = number of candies in your pocket = 9

Answer:

B, B, C, and im not sure about the last one

Step-by-step explanation:

PR / Sin(Q) = QR / Sin(P)

53 / Sin(90) = 45 / Sin(P)

53 / 1 = 45 / Sin(P)

Sin(P) = 45 / 53

Sin(P) = 0.8490566038

P = 58.11 degrees

Answer:

58.11°

Step-by-step explanation:

tan P = 45/28 = 1.607

< P = tan`¹ 1.607 = 58.11°

Answer:

200

Step-by-step explanation:

Answer:

B. If an object is dropped from a height of 38 feet, the function h(t) = –16t2 + 38 gives the height of the object after t seconds.

Step-by-step explanation:

The equation that models the movement of the object is:

Where,

t: time

a: acceleration due to gravity

v0: initial speed

h0: initial height

Suppose that the object falls with zero initial velocity and from a height of 38 feet.

The equation that models the problem is:

Answer:

If an object is dropped from a height of 38 feet, the function h (t) = -16t2 + 38 gives the height of the object after seconds

Answer: If an object is dropped from a height of 38 feet, the function h (t) = -16t2 + 38 gives the height of the object after seconds

Step-by-step explanation:

(◕ᴗ◕✿)(◕ᴗ◕✿)(◕ᴗ◕✿)(◕ᴗ◕✿)

Answer:

Step-by-step explanation:

the answer is d

b/c when you see the parabola lie in -3<x>1

it is down ward because the function is negative

Answer:

The function that represents the table is [tex]f(x) = 15\cdot 2^{x+1}[/tex].

Step-by-step explanation:

The table represents the following rule: A function whose initial values are [tex]x = -1[/tex] and [tex]f(x) = 15[/tex], as for each increase of the input by -1, the output is doubled. Mathematically speaking, we construct the following geometric progression:

[tex]f(x) = a_{o}\cdot 2^{x-x_{o}}[/tex] (1)

Where:

[tex]a_{o}[/tex] - Initial output.

[tex]x_{o}[/tex] - Initial input.

[tex]x[/tex] - Input

[tex]f(x)[/tex] - Output

If we know that [tex]a_{o} = 15[/tex] and [tex]x_{o} = -1[/tex], then the function that represents the table is:

[tex]f(x) = 15\cdot 2^{x+1}[/tex]

Answer:

A = 388.58 cm^2

Step-by-step explanation:

For a cone whose base has a radius R, and a hypotenuse S, the area is:

A = pi*R^2 + pi*R*S

Where pi = 3.14

In this case, we can see that the diameter is: 15cm

Then the radius, half of the diameter, is:

R = 15cm/2 = 7.5cm

The hypotenuse is 9cm, then S = 9cm

A = 3.14*(7.5cm)^2 + 3.14*(9cm)*(7.5cm) = 388.575 cm^2

Rounding to two decimal places, we need to look at the third one, which is a five, so we need to round up:

A = 388.58 cm^2

Answer: 26

Step-by-step explanation:

I dont know if this was the right answer, I just divided

Answer:

26 smaller bags

Step-by-step explanation:

Answer:

38.6 sq ft

Step-by-step explanation:

This composite figure consists of a trapezoid and a triangle on top

A(trapezoid) = 1/2h(sum of bases)

= 1/2(3.6)(7+9)

= 8(3.6)

= 28.8

A(triangle) = 1/2bh

base = 7

height = 6.4-3.6 which is 2.8

A = 1/2(7)(2.8)

= 3.5(2.8)

= 9.8

28.8 + 9.8 = 38.6

Answer:

last set

Step-by-step explanation:

1 x 18 = 18

2 x 9 = 18

3 x 6 = 18

Answer The last set

:

Step-by-step explanation:

Answer:

A. AB≈ DE

is the answer to this question

Answer:

i believe the answer is 1/9, sry if im wrong

Step-by-step explanation:

Answer:

x = -8, y = 6

Step-by-step explanation:

x + 2y = 4 ------(1)

x + y = - 2

y = - x - 2 ----------(2)

Substitute y in (1)

x + 2(- x - 2) = 4

x - 2x - 4 = 4

- x = 4 + 4

x = -8

Substitute x in (2)

y = - (- 8) - 2 = 8 - 2 = 6