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2 years ago

At a convenience store, bottles of water cost $1.20 each. The function f(x) = 1.2x gives the

Mathematics

1 answer:

garri49 [273]2 years ago

7 0

Answer:

The graph in the attached figure

The domain is all real numbers greater than or equal to zero

The range is all real numbers greater than or equal to zero

Step-by-step explanation:

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem we have

$f(x)=1.2x$

where

x ----> is the number of bottles of water

f(x) ---> is the cost of buying x bottles

In this problem the function f(x) represent a proportional relationship

using a graphing tool

The graph in the attached figure

The domain is the interval ------> [0,infinite)

The domain is all real numbers greater than or equal to zero

The range is the interval ------> [0,infinite)

The range is all real numbers greater than or equal to zero

Remember that the number of bottles (domain) and the cost (range) cannot be a negative number

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A pipe of diameter 64mm discharges water at a rate of 2.05mm/s into an empty cylindrical tank of diameter 7.6cm and height 2.3m.

inessss [21]

Answer:

Diameter of pipe = D = 64mm

cross sectional Area of pipe= A = pi * (D/2)^2 = pi * (32)^2 = 1024pi mm^2

Discharge Rate of water = v = 2.05 mm/s

Volume of Cylinder = V = pi * (D/2)^2 * h = pi * (38)^2 * 2300 = 3321200pi mm^3

(Area of pipe)*(Rate) = (Volume) / (Time)

Time = T = (Volume) / [(Area of pipe)*(Rate)]

= (3321200pi)/(1024pi * 2.05)

= 1582.126524s

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2 years ago

What line intersects two other complaner lines in different points

kotykmax [81]

Answer & Explanation:

A transversal is a line that intersects two or more coplanar lines at different points. Two angles are corresponding angles if they occupy corresponding angles. Two angles are alternate exterior angles if they lie outside the two lines on opposite sides of the transversal.

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2 years ago

Read 2 more answers

Compute the least-squares regression line for predicting y from a given the following summary statistics. Round final answers to

qwelly [4]

Answer: Regression line equation: $\hat{y}=-1.008x+39.1704$

Step-by-step explanation:

Equation of least-squares regression line for predicting y :

$\hat{y}=b_1x+b_o$

, where $\text{Slope} (b_1)=r\dfrac{s_y}{s_x}$ , $\text{intercept}(b_0)=\bar{y}-b_1\bar{x}$

Given: $\bar{x}=8.8,\ s_x=1.5,\ s_y=1.8,\ \bar{y}=30.3,\ r=-0.84$

Then,

$b_1=(-0.84)\dfrac{ 1.8}{ 1.5}\\\\\Rightarrow\ b_1=-1.008$

Now,

$b_0=30.3-(-1.008)(8.8)=30.3+8.8704\\\\\Rightarrow\ b_0=39.1704$

Then, Regression line equation: $\hat{y}=-1.008x+39.1704$

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2 years ago

On a rectangular soccer field, Sang is standing on the goal line 20 yards from the corner post. Jazmin is standing 99 yards from

Anna007 [38]

Okay, so Sang is standing 20 yards away from one corner, and Jazmin is standing 99 yards away from the same corner. If this is a rectangle (I like visuals, so I'll use them to explain), then:

99ft
A ------------------------- B
   |    |
20 ft |    |
   |    |
C -------------------------- D

The question is asking you to solve for the diagonal line between points C and B. If you imagine a line there, you actually have the rectangle split into two triangles. So if you have triangle ABC, side CB would be the longest line, or the hypotenuse. That means you can use the Pythagorean Theorem to solve the problem.

A^2 + B^2 = C^2
99^2 + 20^2 = C^2
9,801 + 400 = C^2
10,201 = C^2

Now you solve for the square root of 10,201 to get C.

sqr (10,201) = C
C = 101 yards

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2 years ago

Harlan makes a snack mix with proportional amounts of cereal and popcorn. The graph shows how much popcorn he uses with differen

lina2011 [118]

Answer:

2 cups of popcorn and 1/2 cups of cereal per cup

Step-by-step explanation:

khan told me

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2 years ago