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Mathematics

1 answer:

mestny [16]3 years ago

7 0

Answer:

I will try:

Step-by-step explanation:

Note: ∈ means 'belongs to the set of' and R is 'the set of all real numbers'

Inequality:

- Domain is: x ∈ R

- Range is: x ≥ -2

Set:

-Domain is: {x| x ∈ R}

- Range is: {y| y ≥ -2}

Interval:

- Domain is: (-∞,∞)

- Range is: [-2, ∞)

g(x) is stretched by a factor of 4 and translated 2 units down.

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3 miles below sea level

allochka39001 [22]

Below sea level would mean in the negatives
So I would say -3

3 0

2 years ago

Mrs. Backstrom built a small wooden box for her cat. The box has a length of one and one tenth feet, a width of 1.6 feet, and a

likoan [24]

Answer:

$\text{Volume of cat box}=3.52\text{ ft}^3$

Step-by-step explanation:

We have been given that Mrs. Backstrom built a small wooden box for her cat. The box has a length of one and one tenth feet, a width of 1.6 feet, and a height of 2 feet. We are asked to find the volume of the box.

Let us convert one and one tenth feet into decimal.

$1\frac{1}{10}=\frac{11}{10}=1.1$

Since the cat box is in form of cuboid, so its volume will be equal to the product of length, width and height as:

$\text{Volume of cat box}=1.10\text{ ft}\times 1.6\text{ ft}\times 2\text{ ft}$

$\text{Volume of cat box}=3.52\text{ ft}^3$

Therefore, the volume of the cat box is 3.53 cubic feet.

8 0

3 years ago

The Frostburg-Truth bus travels on a straight road from Frostburg Mall to Sojourner Truth Park. The mall is 3 miles west and 2 m

Verizon [17]

To start, write your locations as points, with north and south being positive and negative y respectively and east and west being positive and negative x respectively. Doing this gives us the mall at (-3,-2) and the park at (4,5). Now, we use our distance formula $( \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 } )$ to solve for the unknown distance. Plugging in with the park values as our second values and our mall values as our first values (as well as with our unknown distance as d), we get $d= \sqrt{(4-(-3))^2+(5-(-2))^2} = \sqrt{(7)^2+(7)^2} = \sqrt{49+49} = \sqrt{98}$ . This square root can be rounded to 9.9 miles.