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deff fn [24]
3 years ago
13

Replace A with a number to make A/24 ≥ 1/4 a true statement.

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
7 0

Answer:

B. 7

Step-by-step explanation: 6/24= 1/4 so 7/24>1/4

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Can someone help me answe this last quiz thank you
nlexa [21]

Answer:

225

Step-by-step explanation:

5^2 * 3^2

(5 * 5) * (3 * 3)

25 * 9

225

6 0
3 years ago
Read 2 more answers
Find, correct to four decimal places, the length of the curve of intersection of the cylinder 4x2 1 y2 − 4 and the plane x 1 y 1
charle [14.2K]

<u>Answer-</u> Length of the curve of intersection is 13.5191 sq.units

<u>Solution-</u>

As the equation of the cylinder is in rectangular for, so we have to convert it into parametric form with

x = cos t, y = 2 sin t   (∵ 4x² + y² = 4 ⇒ 4cos²t + 4sin²t = 4, then it will satisfy the equation)

Then, substituting these values in the plane equation to get the z parameter,

cos t + 2sin t + z = 2

⇒ z = 2 - cos t - 2sin t

∴ \frac{dx}{dt} = -\sin t

  \frac{dy}{dt} = 2 \cos t

  \frac{dz}{dt} = \sin t-2cos t

As it is a full revolution around the original cylinder is from 0 to 2π, so we have to integrate from 0 to 2π

∴ Arc length

= \int_{0}^{2\pi}\sqrt{(\frac{dx}{dt})^{2}+(\frac{dy}{dt})^{2}+(\frac{dz}{dt})^{2}

=\int_{0}^{2\pi}\sqrt{(-\sin t)^{2}+(2\cos t)^{2}+(\sin t-2\cos t)^{2}

=\int_{0}^{2\pi}\sqrt{(2\sin t)^{2}+(8\cos t)^{2}-(4\sin t\cos t)

Now evaluating the integral using calculator,

=\int_{0}^{2\pi}\sqrt{(2\sin t)^{2}+(8\cos t)^{2}-(4\sin t\cos t) = 13.5191




8 0
3 years ago
2 − 4 x 6 Select the expression that represents the following statement: multiply the difference of 5 and 2 by 7, and then add 6
otez555 [7]

Hey there!

2 - 4 * 6

= 2 - 24

= -22


Option A.
7 * (5 - 2) + 6

= 7 * 3 + 6

= 21 + 6

= 27

Option A. is incorrect


Option B.
5 + 2 * 7 + 6

= 5 + 14 + 6

= 19 + 6

= 25

Option B. is also incorrect


Option C.
7 * (5 + 2) - 6
= 7 * 7 - 6

= 49 - 6

= 43

Option C. is also incorrect


Option D.

6 - 2 + (7 * 5)

= 6 - 2 + 35

= 4 + 35

= 39

Thus, it seems like NONE of the ABOVE is correct


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

7 0
2 years ago
Are these equivalent?
evablogger [386]

Answer:

No

Step-by-step explanation:

4 x 2 = 14

<u><em>BUT</em></u>

3 x 2 ≠ 9

4 0
3 years ago
Read 2 more answers
Use the given data to construct a box plot and identify the 5-number summary. Eleven different second-year medical students at B
Galina-37 [17]

Answer:

Min =120, Max= 150

The first quartile can be calculated with this data:

130, 135, 140, 120, 130, 130

And the middle value is:

Q_1 = \frac{140+120}{2}=130

The median is the value in the 6th position from the dataset ordered and we got:

Median= 135

The third quartile can be calculated with this data:

135 140 140 143 144 150

And the middle value is:

Q_3 = \frac{140+143}{2}=141.5

The five number summary for this case:

Min. 1st Qu.  Median    Mean 3rd Qu.    Max.  

120.0   130.0   135.0   135.6   141.5   150.0

The boxplot is on the figure attached

Step-by-step explanation:

We have the following data given:

130, 135, 140, 120, 130, 130, 144, 143, 140, 130, 150

If we sort the values on increasing order we got:

120 130 130 130 130 135 140 140 143 144 150

The minimum and maximum are:

Min =120, Max= 150

The first quartile can be calculated with this data:

130, 135, 140, 120, 130, 130

And the middle value is:

Q_1 = \frac{140+120}{2}=130

The median is the value in the 6th position from the dataset ordered and we got:

Median= 135

The third quartile can be calculated with this data:

135 140 140 143 144 150

And the middle value is:

Q_3 = \frac{140+143}{2}=141.5

The five number summary for this case:

Min. 1st Qu.  Median    Mean 3rd Qu.    Max.  

120.0   130.0   135.0   135.6   141.5   150.0

The boxplot is on the figure attached

8 0
3 years ago
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