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Tcecarenko [31]
3 years ago
14

Solve (x − 2) = 3 Give your solutions correct to 3 significant figures.

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
6 0

Answer:

(x − 2) = 3

Remove the bracket

x - 2 = 3

Group the constants at one side of the equation

x = 2 + 3

x = 5

Therefore x = 5.00 to 3 significant figures.

Hope this helps

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Which mathematical statement matches the vector operation shown in the geometric representation?
Sunny_sXe [5.5K]

Answer:

First Option v+w = u

Step-by-step explanation:

To graphically add two vectors a and b using the -tail and tip-method, you must draw the tail of b at the tip of the vector a. Then you must draw a line that goes from the tail of a to the tip of b. This line represents the sum of a + b.

In this problem, notice that the tail of the vector w is on the tip of the vector v. The line that joins the tail of v with the tip of w is u.

Therefore we can say that v + w = u.

The answer is the first option

7 0
3 years ago
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Physics students were modeling the height of a ball once it was dropped from the top of a 10 foot ladder. The
julsineya [31]

Answer:

<em>Interval notation: [0, 2.236]</em>

<em>Set Builder notation: </em>\{t\ |\ 0\le t\le 2.236\}

Step-by-step explanation:

Given that:

Equation of height of the ball dropped from a height of 10 foot, as:

h(t) = 10 - 2t^2

Where t is the time since the ball was dropped.

To find:

The domain of the function in Interval and set builder notation.

Solution:

<em>Domain of a function </em>is defined as the set of valid input values that can be given to the function for which the function is defined.

Here, input is time.

We can not have negative values for time.

Therefore, starting value for time will be <em>0 seconds</em>.

And the value of height can not be lesser than that of 0 ft.

0= 10 - 2t^2\\\Rightarrow 2t^2=10\\\Rightarrow t^2=5\\\Rightarrow t =2.236\ seconds

Maximum value for time can be 2.236 seconds.

Therefore the domain is:

<em>Interval notation: [0, 2.236]</em>

<em>Set Builder notation: </em>\{t\ |\ 0\le t\le 2.236\}

4 0
3 years ago
A belouga whale is 5 yards and 3 inches long and a gary whale is 15 yards and 5 incheslong
belka [17]

Answer:

10 yards 2 inches

Step-by-step explanation:

15 yd 5 in - 5 yd 3 in =

10 yards and 2 inches

8 0
2 years ago
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Luda [366]
I hope this helps you

3 0
3 years ago
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The table below shows the surface area y, in square feet, of a shrinking lake in x days:
andreyandreev [35.5K]
Based on the data, the most likely correlation coefficient would be -1.
The slope between 20 and 30 days is -1, and it represents the change in the surface area of the lake per day.
The data represents correlation, not causation.

Since the data would form a perfectly straight line through the points, the correlation coefficient would be -1 for a perfect decreasing fit.
To find the slope, find the change in the surface area between those days, the change in the days, and write it as surface area/days:  80-90=-10; 30-20=10; -10/10=-1
This is not causation because there could be lurking variables we cannot see.
6 0
3 years ago
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