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Phantasy [73]
3 years ago
11

Colin drove 45 minutes to the airport. He arrived 90 minutes before his flight departed, and then he spent 70 minutes in the air

. Once he landed, Colin spent 20 minutes gathering his luggage, and then he drove 35 minutes to his hotel. What must be true of any expression that represents the total time that Colin spent traveling from his house to the hotel?
Mathematics
1 answer:
shtirl [24]3 years ago
8 0
The answer is 50 minutes bro
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(3.56 × 102) + (2.17 × 104) in scientific notation
Brrunno [24]

Answer:

5.888 * 10^2

Step-by-step explanation:

3.56*102=363.12

2.17*104= 225.68

363.12+225.68= 588.8

5 0
2 years ago
Hayley is considering two gym membership plans. The plans are detailed here.
Novosadov [1.4K]

Option 2: y = 3x+50 is the right answer

Step-by-step explanation:

We have to convert the details given in Plan one to an equation

Let x be the number of visits to the gym

and y be the total cost for plan one

So,

As each visit costs $3, x number of visits will cost 3x

One time fee is $50

So the equation can be written as:

y = 3x+50

Hence

Option 2: y = 3x+50 is the right answer

Keywords: Slope equations of lines

Learn more about slope at:

  • brainly.com/question/6275033
  • brainly.com/question/6436086

#LearnwithBrainly

5 0
3 years ago
Find the least squares regression equation using the school year (in number of years after 2000) for the input variable and the
Ad libitum [116K]

<u>Answer-</u>

<em>The least squares regression equation using the school year (in number of years after 2000) for the input variable and the average cost (in thousands of dollars) for the output variable is "y=0.937x+12.765" .</em>

<u>Solution-</u>

The independent variable / input variable= x = Number of years after 2000 ( = year-2000)

The dependent variable / output variable = y = Average cost in thousands of dollars

(The table has been attached herewith.)

To find the regression equation for a group of (x,y) points,

We have to calculate the slope and y-intercept, then we can put those values in the equation y = mx + c ( Slope - Intercept formula)

We know that,

Slope=m=\frac{N\sum xy -\sum x\sum y}{N\sum x^{2}- (\sum x)^{2}}

Putting the values from the table,

m=\frac{(8 \times 1020.206)-(52 \times 150.894)}{(8 \times 3810)-(52^2)}

( ∵ Instead of 150,894 we have to put 150.894 as we have find the line for year and thousands of dollars )

\Rightarrow m =\frac{8161.648-7846.488}{3040-2704} =\frac{315.16}{336}=0.937

Now, for the y-intercept,

c =\frac{\sum y -m(\sum x)}{N}

Putting the values,

c=\frac{150.894-(52 \times 0.937)}{8}=\frac{102.125}{8}=12.765

Now, putting the values of c and m, in the Slope-Intercept formula,

y=0.937x+12.765


3 0
3 years ago
A basketball is thrown, and its height above ground is represented by the function f(x)=-3x^2+10x+4. At the same time, a drone t
JulijaS [17]

Answer:

The drone takes 2.25 seconds to be higher than the basketball.

Step-by-step explanation:

Based on the definitions given on statement and the image attached below, the red line represents the height of the basketball and the blue line represents the height of the drone, respectively. The height of the drone is higher than the height of the basketball when the y-value of the former is higher than the y-value of the latter. The time is contained in the +x semiaxis.

According to the figure, the drone takes 2.25 seconds to be higher than the basketball.

5 0
3 years ago
Solve for x<br>Please show steps thank you.
const2013 [10]
The absolute value of x is simply x and followed by the expression.

X + 1 + x + 1 <_ 2

2x + 2 <_ 2

2x <_ 0

X <_ 0

Basically all values that follow this inequality will most likely hold true.

For instance. -1.

-1 + 1 = 0
Absolute value of -2 = 2.

2 is equal to 2. This expression holds true.
4 0
2 years ago
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