A box has length 3 ft, width 5 ft, and height 2 ft.

What is the volume?
cu ft

Answer:

its 23

Step-by-step explanation:

Answer:

Beach parking lot is the right answer.

Step-by-step explanation:

the beach parking is near the beach refreshment stand.

pls mark branliest.

Answer:

x=4.5

Step-by-step explanation:

2x− 7/2 =x+1

2x− 7/2- x=1

x-7/2=1

x= 1+7/2

x=2/2+7/2

x= 2+7 is numerator and 2 is the denominator

x= 9/2

9/2 = 4.5

Proof -

So, in the first part we'll verify by taking n = 1.

[tex] \implies \: 1 = {1}^{2} = \frac{1(1 + 1)(2 + 1)}{6} [/tex]

[tex] \implies{ \frac{1(2)(3)}{6} }[/tex]

[tex]\implies{ 1}[/tex]

Therefore, it is true for the first part.

In the second part we will assume that,

[tex] \: { {1}^{2} + {2}^{2} + {3}^{2} + ..... + {k}^{2} = \frac{k(k + 1)(2k + 1)}{6} }[/tex]

and we will prove that,

[tex]\sf{ \: { {1}^{2} + {2}^{2} + {3}^{2} + ..... + {k}^{2} + (k + 1)^{2} = \frac{(k + 1)(k + 1 + 1) \{2(k + 1) + 1\}}{6}}}[/tex]

[tex] \: {{1}^{2} + {2}^{2} + {3}^{2} + ..... + {k}^{2} + (k + 1)^{2} = \frac{(k + 1)(k + 2) (2k + 3)}{6}}[/tex]

[tex]{1}^{2} + {2}^{2} + {3}^{2} + ..... + {k}^{2} + (k + 1)^{2} = \frac{k (k + 1) (2k + 1) }{6} + \frac{(k + 1) ^{2} }{6} [/tex]

[tex]{1}^{2} + {2}^{2} + {3}^{2} + ..... + {k}^{2} + (k + 1)^{2} = \frac{k(k+1)(2k+1)+6(k+1)^ 2 }{6} [/tex]

[tex]{1}^{2} + {2}^{2} + {3}^{2} + ..... + {k}^{2} + (k + 1)^{2} = \frac{(k+1)\{k(2k+1)+6(k+1)\} }{6}[/tex]

[tex]{1}^{2} + {2}^{2} + {3}^{2} + ..... + {k}^{2} + (k + 1)^{2} = \frac{(k+1)(2k^2 +k+6k+6) }{6} [/tex]

[tex]{1}^{2} + {2}^{2} + {3}^{2} + ..... + {k}^{2} + (k + 1)^{2} = \frac{(k+1)(2k^2+7k+6) }{6} [/tex]

[tex]{1}^{2} + {2}^{2} + {3}^{2} + ..... + {k}^{2} + (k + 1)^{2} = \frac{(k+1)(k+2)(2k+3) }{6} [/tex]

Henceforth, by using the principle of mathematical induction 1²+2² +3²+....+n² = n(n+1)(2n+1)/ 6 for all positive integers n.

_______________________________

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Answer:

X = 2550

Step-by-step explanation:

Convert 12% to a decimal:

⇒ 12% = 12/100 = 0.12

   12% of X is 306

⇒ 0.12X = 306

⇒ X = 306 ÷ 0.12

⇒ X = 2550

Answer:

2550

Step-by-step explanation:

Given expression: 12% of x is 306

We can make the following points of the expression:

    1. The word "of" means multiplication (×).

    2. The percent is always divided by 100 in fraction.

    3. The word "is" means equal or equivalent.

Now, let's simplify the expression.

⇒ 12x/100 = 306

⇒ 12x = 306 × 100

⇒ 12x/12 = 306 × 100/12

⇒ x = 51 × 50 = 2550

Answer:

0.75mg

Step-by-step explanation:

6 years is its half life, meaning that half of it will have iradiated by that point. 1.5 / 2 = 0.75

Answer:

wow that is a tough one             the answer is 438654

Step-by-step explanation:

all that is to it

Answer:

The first one is 11x=16, the second one is 4x=16, and the next one is 7x=12, and the last one is 3=1x hope this helps

Step-by-step explanation:

Answer:

Option 3 is the correct answer.

Answer: The number of tickets sold is the independent variable because it affects the amount of money earned.

Step-by-step explanation: I just took test got 100%

The number of tickets sold is the independent variable because it affects the amount of money earned.

Answer:

You didnt give the chart so there for I can not give you a good answer

Step-by-step explanation:

[tex]\rightarrow[/tex] Side(a) of the cube = [tex]\sf{\frac{1}{3}ft}[/tex].

[tex]\rightarrow[/tex] Surface Area of the cube with side [tex]\sf{\frac{1}{3}ft.}[/tex]

[tex]\rightarrow[/tex] Surface area of cube = [tex]\sf{6a^2}[/tex]

[tex]\rightarrow[/tex] Surface area of cube = [tex]\sf{6a^2}[/tex] (putting the value of a from the above given)

[tex]\rightarrow[/tex] [tex]\sf{=\:6×(\frac{1}{3})^2}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{=\:6×\frac{1}{9}}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{=\:\frac{6}{9}}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{=\:\frac{2}{3}ft^2}[/tex]

Therefore, surface area of the given square = [tex]\sf{=\:\frac{2}{3}ft^2}[/tex]

__________________________________

Hope it helps you:)

Answer:

Step-by-step explanation:

there are 6 square faces of a cube.

if side=x

surface area=6x²

=6(1/3)²

=6/9

=2/3 square foot

Answer:

+

perpendicular lines are lines that meet at a 90 degree angle

Step-by-step explanation:

Answer:

should be 66% of children and 1650 children in the town

Step-by-step explanation:

Answer:

The angles are not congruent

Step-by-step explanation:

This is because the two triangles show angle angle angle and that does not prove triangle congruency.

Answer:

9.852

Step-by-step explanation:

First, Graph all three functions and find where they intersect and the shape that they make through their intersection. Note that since the shape does not touch the y= -1 line, we will use the "washer" method (where the volume equals  [tex]\pi\int\limits^a_b {R(x)\x^{2} - r(x)^{2} } \, dx[/tex].

The next step is to find a and b. Since the function that the area is going to be rotated about is a " y =" equations, the boundaries will be the x coordinates where the three functions intersect, b=1 for (1,1) and a=3 for (3,1).

Next we have to find R(x) and r(x). In this case, R(x) is the difference between the function furthest away from the axis of rotation and the function of the axis of rotation (or visa versa depending on which is on top), and r(x) is the difference between the function closest to the axis of rotation and the function of the axis of rotation (or visa versa depending on which is on top.

For this problem R(x) = 1 - (-1) and r(x) = 1/x - (-1) since when you look at the graph, Y = 1  is further from y = -1 than y = 1/x is, and both functions are on top of y = -1.

Finally plug in R(x) and r(x) and solve either using a calculator or through integration. If you solve through integration you should get [tex]\pi (-2ln(3) + \frac{16}{3} )[/tex].

Answer:

C. 80 grapes

Step-by-step explanation:

6 / 3 = 2

Each person gets 2 pounds of grapes.

2 X 40 = 80

1 pound = 40 grapes

2 pound = 80 grapes

Answer: 22.44$

Step-by-step explanation:

1. 30 x 0.20 = 6

2. 30 - 6 = 24

3. 24 x 0.065 = 1.56

24 - 1.56 = 22.44$

[tex]- 10(2) + y = 4[/tex]

[tex] - 20 + y = 4[/tex]

[tex]y = 24[/tex]

[tex] - 10( 1) + y = 4[/tex]

[tex] - 10 + y = 4[/tex]

[tex]y = 14[/tex]

[tex] - 10(0) + y = 4[/tex]

[tex]0 + y = 4[/tex]

[tex]y = 4[/tex]

[tex] - 10( - 1) + y = 4[/tex]

[tex]10 + y = 4[/tex]

[tex]y = - 6[/tex]

[tex] - 10( - 2) + y = 4[/tex]

[tex]20 + y = 4[/tex]

[tex]y = - 16[/tex]

Answer:

-2 = -16

-1 = -6

0 = 4

1 = 6

2 = 16

Step-by-step explanation:

Answer:

First one: 27

Second one: 1/8

Step-by-step explanation:

Hope this helps! :)

Total number of tickets sold = 250

Number of prizes = 5

Number of favorable outcomes = 5

[tex]P(A)= \frac{no. of possible outcomes}{No. of total outcomes} [/tex]

[tex]P (getting \: a \: prize) = \frac{5}{250} =\frac{1}{150}[/tex]

Answer:

he can buy 8 of lilies and 12 of rose and 48 of daisies

Ali can buy 3 flowers of lilies, 3 flowers of roses, and 18 flowers of daisies.

Suppose Ali buys x flowers of lilies, y flowers of roses, and z flowers of daisies.

According to the question

x+y+z = 24......(1)

3x+2y+0.5z = 24.......(2)

Here, we have three variables but only two equations.

2(2)-(1) gives, 5x+3y = 24......(3)

Since, x, y and z can take only integer values.

Numbers that are not fractions called integers.

So, from (3) only x=3 and y=3 is possible

So, z= 24-x-y

z=24-3-3 = 18

So, Ali can buy 3 flowers of lilies, 3 flowers of roses, and 18 flowers of daisies.

Therefore, Ali can buy 3 flowers of lilies, 3 flowers of roses, and 18 flowers of daisies.

To get more about linear equations visit:

https://brainly.com/question/14323743

Answer:

5400

Step-by-step explanation:

8% of 5000 is 400. 5000 + 400 - 5400.

Answer:

$5400

Step-by-step explanation:

We need to find the amount of tax in $

So, if 100% = $5000

           8%   =  ?

cross multiply to be :  8 × 5000

                                        100

to get $400

Add it to the $5000 to get $5400

Step-by-step explanation:

Range -6

Range is a higherd number

10-4=6

Step-by-step explanation:

171 km/h

travel distance = 855 km

855 / 171 = 5 hours

it took him 5 hours to fly the 855 km (theoretically to the hospital).

normally, with a plane, you can't land on or at a hospital. you would need a helicopter to be able to do that.

so, he could only fly to a nearby airport, and then travel from there to the hospital. but we have no information about that.

Answer: 7.5

Step-by-step explanation:

5x3 = 15 A = 1 half L x H

A = (3)(5)

A = 15

A =  15 x 1 half = 7.5

correct me if i am wrong.

Answer:

Range: 1,3,7

Step-by-step explanation:

(-1,1),(0,3),(2,7)

2(-1)+3

2(0)+3

2(2)+3

Answer: I think the answer is 18

Answer:

65

Step-by-step explanation:

angle 2 is equal to angle 4, so that means angle 4 is also 130⁰.

130=2y

130/2=2y/2

65=y

Answer:

y = 65°

Step-by-step explanation:

Vertical Angle Theorem:  When two straight lines intersect, the opposite vertical angles are always equal (congruent) to each other.

⇒ m∠2 = m∠4

⇒ 130° = 2y

⇒ y = 130° ÷ 2

⇒ y = 65°