Jean walks forward 80 feet to his mailbox. He then walks the 80 feet
back. Does Jean end up back where he started?

This is the same as saying 27 cubic inches

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Explanation:

We get the volume of a cube by using the formula

V = s^3

where the cubed exponent is directly tied together with the idea of volume being in cubic units. In this case, s = 3 which leads to

V = s^3

V = 3^3

V = 3*3*3

V = 27 cubic inches

As another example, let's say s = 4. That means

V = s^3

V = 4^3

V = 4*4*4

V = 64

We multiply the side length by itself having three copies total. This formula only applies to cubes. A more generalized formula for rectangular blocks is V = L*W*H where L,W,H are the length width and height in that order. This generalized formula allows for side lengths to be different, but if L = W = H, then it makes more sense to go with the first formula instead.

Answer:

200

Step-by-step explanation:

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:

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

Step-by-step explanation:

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:15

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

4x-9y= -1

so change 4x-9y to 1 in

6+(-1) = 5

Answer:

4x-9y=-1

4x=-1+9y

Step-by-step explanation:

6+4x-9y

6+(-1+9y)-9y

6-1+9y-9y

5+0

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:

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

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°

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:

a is -1

b is 31

c is 7

Step-by-step explanation:

-x^2+31x+1=0

ax^2+bx+c=0

33517

Method 1

Given:

374F in base 16

To convert to octal;

(i) convert each digit in the number to binary

3 = 0011

7 = 0111

4 = 0100

F = 1111

(ii) join the bits together starting from the first i.e

374F = 0011 0111 0100 1111

(iii) starting from the right to left, group the bits together, each group having 3 bits

374F = 0 011 011 101 001 111

(iv) the group with number of bits less than 3 should be padded with zero.

374F = 000 011 011 101 001 111

(v) convert each of the groups in (iv) above to decimal as follows:

000 = 0

011 = 3

011 = 3

101 = 5

001 = 1

111 = 7

(vi) combine the result above to get;

033517

The first zero can be removed

33517

Therefore, the number in octal is 33517₈

Method 2

Given:

374F in base 16

To convert to octal;

i) convert the number to decimal as follows;

a. Multiply each digit by 16 raised to the power of one less than their position starting from the leftmost digit.

=> 3 is at position 4, so we have

3 x 16⁴ ⁻ ¹ = 3 x 16³

=> 7 is at position 3, so we have

7 x 16³ ⁻ ¹ = 7 x 16²

=> 4 is at position 2, so we have

4 x 16² ⁻ ¹ = 4 x 16¹

=> F is at position 1, so we have

F x 16¹ ⁻ ¹ = F x 16⁰

b. Add each of the terms found in (a) together.

(3 x 16³) + (7 x 16²) + (4 x 16¹) + (F x 16⁰)

c. Remember that F = 15 in decimal. Therefore, substitute F = 15 into the result in (b)

(3 x 16³) + (7 x 16²) + (4 x 16¹) + (15 x 16⁰)

d. Solve the result in (c)

(3 x 4096) + (7 x 256) + (4 x 16) + (15 x 1)

12288 + 1792 +64 + 15

14159

Therefore,

374F in decimal is 14159

(b) Now convert the decimal to octal by dividing by 8 and noting the remainder.

8 | 14159

8 | 1769 r 7

8 | 221 r 1

8 | 27 r 5

8 | 3 r 3

  | 0 r 3

Taking the remainders from bottom up gives

33517₈

Therefore, the number in octal is 33517₈

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:

28

Step-by-step explanation:

it just is lol k

12345678]

Answer:

A=28

Step-by-step explanation:

A^2+21^2=35^2

A^2+441=1225

A^2=784

A=28

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:

∠ 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:

x = - 1

Step-by-step explanation:

Given

4x = x^2 - 5               Transfer 4x to the right side.

Solution

x^2 - 4x - 5 = 0          Factor

(x - 5)(x + 1)

You want the negative solution. That means that the middle sign must be plus.

x + 1 = 0                   Subtract 10 from both sides

x = - 1                       Ten on the left disappears by the subtraction process.

Is that correct?

4x = x^2 - 5

x = - 10

4*(-1) = (-1)^2 - 5

-4  = ? 1 - 5

-4 = - 4

and it does work.  

Answer:

A. AB≈ DE

is the answer to this question

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: 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:

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:

58

Step-by-step explanation:

The center line in a box plot represents the median

Answer:

x=24   2x=48

Step-by-step explanation:

We first do 112-64 which will give us 2x.

So, we know 48=2x.

divide both sides by two and we get:

x=24

Answer:

B

Step-by-step explanation:

2x and 48 are opposite from each other, making them equal

if you put them into an equation to solve for x, you get:

2x=48

/2    /2

x=24

now that you have x, you can plug it back into the original equation to get: 48

Answer:

the temperature is above zero

Step-by-step explanation:

hope it helps

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

Answer:

It's B , or #2

2x-3y<7

Step-by-step explanation:

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]