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3 years ago

Which is a perfect square?

Mathematics

2 answers:

Leni [432]3 years ago

7 0

Answer:

I believe it's 6^2.

Step-by-step explanation: 6^2 is the same as 6 times 6. Here's a tip, if you see a 2 as an exponent, you can also say x squared. X to the power of 2 is the same as x squared.

Lena [83]3 years ago

5 0

Answer:

$6^{2}$

Step-by-step explanation:

$6^{1}$ = 6 $\sqrt{6}$ = 2.45 (NOT a perfect square)

$6^{2}$ = 36 $\sqrt{36}$ = 6 (perfect square)

$6^{3}$ = 216 $\sqrt{216}$ = 14.7 (NOT a perfect square)

$6^{5}$ = 7776 $\sqrt{7776}$ = 88.18 (NOT a perfect square)

If the answer ends with a decimal, they are not perfect squares.

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Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating

Rainbow [258]

Answer: A = 58

Step-by-step explanation: The sketched region enclosed by the curves and the approximating rectangle are shown in the attachment.

From the sketches, the area will be integrated with respect to y.

To calculate the integral, first determine the limits, which will be the points where both curves meet.

In respect to y:

$2x+y^{2} = 48$

$2x= 48- y^{2}$

$x= 24 - \frac{y^{2}}{2}$

Finding limits:

$y= 24 - \frac{y^{2}}{2}$

$24 - \frac{y^{2}}{2}-y=0$

Multiply by 2 to facilitate calculations:

$48 - y^{2}-2y=0$

Resolving quadratic equation:

$y=\frac{-2+\sqrt{2^{2}+192} }{2}$

y = 6 and y = -8

Then, integral to calculate area will be with limits -8<y<6:

$A = \int {24-\frac{y^{2}}{2}-y } \, dy$

$A = 24y - \frac{y^{3}}{6}-\frac{y^{2}}{2}$

$A = 24.6 - \frac{6^{3}}{6}-\frac{6^{2}}{2}-[24.(-8) - \frac{(-8)^{3}}{6}-\frac{(-8)^{2}}{2}]$

A = 58

<u>The area of the enclosed region is 58 square units.</u>

7 0

3 years ago

On a 28-question test, there are 2-point questions, 4-point questions, and 5-point questions. The test is worth a total of 100 p

Readme [11.4K]

Answer:

The test has 8 questions of 2 points, as well as 16 of 4 points and 4 of 5 points.

Step-by-step explanation:

Since, on a 28-question test, there are 2-point questions, 4-point questions, and 5-point questions, the test is worth a total of 100 points and there are twice as many 2-point questions as 5- point questions on the test, to determine how many 2-point questions are on the test, the following calculation must be performed:

18 x 2 + 9 x 5 + 1 x 4 = 36 + 45 + 4 = 85

16 x 2 + 8 x 5 + 4 x 4 = 32 + 40 + 16 = 88

14 x 2 + 7 x 5 + 7 x 4 = 28 + 35 + 28 = 91

12 x 2 + 6 x 5 + 10 x 4 = 24 + 30 + 40 = 94

10 x 2 + 5 x 5 + 13 x 4 = 20 + 25 + 52 = 97

8 x 2 + 4 x 5 + 16 x 4 = 16 + 20 + 64 = 100

Thus, the test has 8 questions of 2 points, as well as 16 of 4 points and 4 of 5 points.

4 0

2 years ago

Kazoos prices- $10.00 for 25 kazoos

yuradex [85]

$10 / 25 = 0.4
$18.50 / 50 =0.37
$27.20 / 80 = 0.34

Highest unit price is 0.40 per kazoo.

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2 years ago

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dexar [7]

The second guitar is the answer because it has a lower amount than the first but not by alot

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3 years ago

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3 years ago