Which inequality models this situation? The distance to the lake is greater than 5.5 km.

A.
d > 6

B.
d < 5.5

C.
d > 5.5

D.
d < 6

Answers

Answer 1

Answer: the answer is C.
d>5.5

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Thank you Philo for your answer. I have one more question for you regarding the same rectangular prism that is 3 units long, 2 units wide and has 7 layers and 42 cubic units, how many cubes of the prism would have exactly one face showing on the outside? Please

Answers

Alright. So we have a rectangular prism 3 long, 2 wide, and 7 high. That would have a volume of 42 because the volume of a rectangular prism is it's length times its width times its height. Now the question is if that prism is made up of cubic centimeter cubes, how many are on the outside? My strategy for this would be to find how many are on the inside. If we were to subtract two from every measurement (getting rid of cubes on the outside, essentially) we would be left with the volume of the cubes that don't touch the outside. Make sense?

3 - 2 = 1
2 - 2 = 0
7 - 2 = 5

So suppose we have a rectangular prism with measurements 1, 0, and 5. The volume is 1*0*5 which is...0. Because the prism is 2 cubes thick, there's nothing that's NOT on the outside. With another similar problem, however, that is how you would solve it.

What are the solutions to the quadratic equation x2 – 16 = 0?x = 2 and x = –2
x = 4 and x = –4
x = 8 and x = –8
x = 16 and x = –16

Answers

The correct statement is that the solution of this equation x² – 16 = 0, is 4 and -4.

What is a quadratic equation?

It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation. The general form of the quadratic equation is ax² + bx + c = 0

Given

The quadratic equation x² – 16 = 0

To find

The root of the quadratic equtaion?

How do find the solutions to the quadratic equation?

The quadratic equation x² – 16 = 0

We know the formula,

a² - b² = ( a - b ) ( a + b )

Then

x² – 4² = 0

(x - 4)(x + 4) = 0

x = 4 and -4

Thus, the solution of this equation x² – 16 = 0, is 4 and -4.

More about the quadratic equation link is given below.

brainly.com/question/2263981

Answer: The correct option is (B) x = 4 and x = -4.

Step-by-step explanation: We are given to find the solutions to the following quadratic equation :

$x^2-16=0~~~~~~~~~~~~~~~~~~~~~(i)$

Since the coefficient of x is zero in the given equation, so we will be using the method of square root to solve the equation.

From equation (i), we have

$x^2-16=0\n\n\Rightarrow x^2=16\n\n\Rightarrow x=\pm√(16)~~~~~~~\textup{[taking square root on both sides]}\n\n\Rightarrow x=\pm4\n\n\Rightarrow x=4,~-4.$

Thus, the required solution is x = 4 and x = -4.

Option (B) is correct.

Find the median19.2,19.6. 16.4, 17.1, 19.0, 17.4, 17.3, 20.1, 19.0, 17.5, 17.6, 18.6, 18.4, 17.7, 19.5, 18.4, 18.9, 17.5, 19.3, 20.8

Answers

17.55 is the median To find the median Arrange the data points from smallest to largest. If the number of data points is odd, the median is the middle data point in the list. If the number of data points is even, the median is the average of the two middle data points in the list.

how do you explain the midpoint of cd is e (-1,0). one endpoint is c(5,2). what are the coordinates of the other endpoint?

Answers

The other endpoint will be equal to (-7, -2).

What is coordinate geometry?

A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

Given that the midpoint of cd is e ( -1,0 ) one endpoint is c( 5,2 ). The midpoint will be calculated as:-

Midpoint = (x₁+x₂ / 2 , y₁+y₂ / 2)

5 + x₂ / 2 = -1

5 + x₂ = -2

x2 = -7

2 + y₂ / 2 = 0

2 + y₂ = 0

y₂ = -2

Therefore, the other endpoint will be equal to (-7, -2).

To know more about coordinate geometry follow

brainly.com/question/18269861

#SPJ2

midpoint = (x1+x2 / 2 , y1+y2 / 2)

5 + x2 / 2 = -1
5 + x2 = -2
x2 = -7

2 + y2 / 2 = 0
2 + y2 = 0
y2 = -2

Other endpoint: (-7, -2)

For the graph below, what should the domain be so that the function is at least 200? graph of y equals minus 2 times the square of x plus 30 times x plus 200

0 ≤ x ≤ 15

−5 ≤ x ≤ 20

all real numbers

x ≥ 0

Answers

y = 2x² + 30x + 200
y = 2(x² + 15x + 100)

x² = x*x
100 ⇒ 1 x 100 ; 2 x 50 ; 4 x 25 ; 5 x 20 ; 10 x 10

200 = 2x² + 30x + 200
0 = 2x² + 30x + 200 - 200
0 = 2x² + 30x + 0
0 = 2(x² + 15x + ?)

−5 ≤ x ≤ 20

Answer: −5 ≤ x ≤ 20

Step-by-step explanation:

an electronics store had 182 video games. if they put them on shelves with 24 on each shelf, about how many shelves would they need?

Answers

182 games24 on each shelfbasicaalyx shelves is more than or equal to 182 games1 shelf=24x times 24>182divide both sides by 24x>7 and 4/24x has to be a whole number since you can't have fractional shelvesyou have to have more shelves since less shelves won't allow you to carry all of themround up7 and something rounded u is 8

8 shelves (if you are a weird store that has fractional shelves then the answer is 7 and 1/6 shelves)

To figure that out, I am going to divide 182÷24 to get my answer so 182÷24=7.583 and I want a whole number so I am going to round it up to 8 so I think they need 8 shelves.

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