Evaluate 6t -20-32u when t=6 and u=1/4

Mathematics

2 answers:

weqwewe [10]2 years ago

5 0

Answer:

$8$

Step-by-step explanation:

$6t - 20 - 32u = 6(6) - 20 - 32( \frac{1}{4} ) = 36 - 20 - 8 = 16 - 8 = 8$

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emmainna [20.7K]2 years ago

3 0

Plug in the numbers. 6(6)-20-32(1/4)
Then multiply first. 36-20-8.
Then go left to right for subtracting.
36-20= 16; 16-8=8
So your answer would be 8.

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The diameter of a wheel of a car is 30cm. If the car travels at an average speed of 13.2m/s, find the number of revolutions made

Marysya12 [62]

Answer:

Approximately $50420$ revolutions (rounded to the nearest whole number.)

Step-by-step explanation:

Convert the diameter of this wheel to meters: $d = 30\; \rm cm = 0.30\; \rm m$ .

Circumference of this wheel:

$\pi \, d = \pi \times 0.30\; \rm m \approx 0.942\; \rm m$ .

Distance travelled in one hour:

$\begin{aligned}v \cdot t &= 13.2 \; \rm m \cdot s^{-1} \times 3600\; \rm s \\ &= 47520\; \rm m\end{aligned}$ .

Number of revolutions required for covering that distance:

$\displaystyle \frac{47520\; \rm m}{(\pi \times 0.30\; \rm m)} \approx 50420$ .

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2 years ago

Find the residual values, and use the graphing calculator tool to make a residual plot. A 4-column table with 5 rows. The first

Svetlanka [38]

The best answer from the options that proves that the residual plot shows that the line of best fit is appropriate for the data is: ( Statement 1 ) Yes, because the points have no clear pattern

X Given Predicted Residual value

1 3.5 4.06 -0.56

2 2.3 2.09 0.21

3 1.1 0.12 0.98

4 2.2 -1.85 4.05

5 -4.1 -3.82 -0.28

The residual value is calculated as follows using this formula: ( Given - predicted )

1) ( 3.5 - 4.06 ) = -0.56

2) ( 2.3 - 2.09 ) = 0.21

3) ( 1.1 - 0.12 ) = 0.98

4) (2.2 - (-1.85) = 4.05

5) ( -4.1 - (-3.82) = -0.28

Residual values are the difference between the given values and the predicted values in a given data set and the residual plot is used to represent these values .

attached below is the residual plot of the data set

hence we can conclude from the residual plot attached below that the line of best fit is appropriate for the data because the points have no clear pattern ( i.e. scattered )

learn more about residual plots : brainly.com/question/16821224