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2 years ago

I WILL REPORT IF IT'S A LINK

Mathematics

1 answer:

Anit [1.1K]2 years ago

7 0

Answer:

a) There will be approximately a water depth of 7.5 meters after 3h

b) Approximately 2.5 hours have passed when there is 8 m of water in the tank.

Step-by-step explanation:

a) Look for the y-value when the x-value is 3.

b) Look for the x-value when the y-value is 8.

*The y-axis is the depth (m), and the x-axis is the time (h).

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A taxi service offers a ride with an $5 surcharge and charges $0.50 per mile.

Butoxors [25]

Answer:

50 miles

Step-by-step explanation:

x = (30 - 5) / 0.50

<em>Subtract To Solve Parentheses</em>

x = 25 / 0.50

<em>Divide</em>

x = 50

7 0

3 years ago

A window is 21 inches wide, and its perimeter is 112 inches. What is the length of the window?

Kazeer [188]

Answer:

The length of the window is 35 inches.

Step-by-step explanation:

Perimeter of an object can be found using the general formula: P = 2W + 2L, where P = perimeter, W = width and L= length. Since both the width and perimeter of the window are given, we can plug these values into the formula to solve for the missing variable 'L': 112 = 2(21) + 2L, or 112 = 42 + 2L. We can then use inverse (opposite) operations to isolate the variable and solve. Whatever we do to one side of the equation, we do to the other. We will start by subtracting 42 from each side: 112 - 42 = 42 - 42 + 2L or 70 = 2L. Next, we divide both sides by 2 to solve for L: 70/2 = 2L/2 or L = 35. So, the final length of the window is 35 inches.

8 0

3 years ago

Find the equation of the line that is perpendicular to y = 1/4 x – 2 and passes though the point (5, –2).

zlopas [31]

$\textsf{Let y = ax + b the line we want to find.}$

$\textsf{We know that the slope of y = ax + b is the inverse of the slope of } \mathsf{ y = \frac{1}{4}x - 2.}$

$\textsf{Thus:}$

$\mathsf{a = \dfrac{1}{\frac{1}{4}} = 4}$

$\textsf{As y = 4x + b passes thought (5, -2):}$

$\mathsf{-2 = 4 \cdot 5 + b \Rightarrow 20 + b = -2 \Rightarrow b = -22}$

$\textsf{Hence the line y = 4x - 22 is perpendicular to }\mathsf{y=\frac{1}{4}x - 2}\textsf{ and passes for the point (5, -2).}$

6 0

3 years ago

Read 2 more answers

pierre owns a bike shop.he needs to order 12 replacments parts that each cost $9.75.the factory offers free shipping for orders

galina1969 [7]

He will not need to pay a shipping fee because 12*9.75 is more than $100.

8 0

3 years ago

For each $n \in \mathbb{N}$, let $A_n = [n] \times [n]$. Define $B = \bigcup_{n \in \mathbb{N}} A_n$. Does $B = \mathbb{N} \time

andre [41]

Answer:

No, it is not.

Step-by-step explanation:

The set $C = \mathbb{N} \times \mathbb{N}$ contains every ordered pair of Natural numbers, while B only contains those pairs in which both values in each entry are the same. Therefore, C is a bigger set than B, but B is not equal to C because for example C contains $[1] \times [2]$ and B doesnt because 1 is not equal to 2.

4 0

3 years ago