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Amiraneli [1.4K]

1 year ago

7

I have 5 1/3 cups of water. I need 2/3 cups to make paint

1 answer:

Bas_tet [7]1 year ago

3 0

Answer:

5 1/3 = 15/3 + 1/3 = 16/3 cups of water

Divide it by 2/3 cup

Number of color = ( 16/3) / (2/3) = 8 paint colors

You can make 8 different paint colors

Step-by-step explanation:

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Integrate sin²2x cos²2x dx

DochEvi [55]

$\sin^2x=\dfrac{1-\cos2x}2$
$\cos^2x=\dfrac{1+\cos2x}2$

From the identities above, you have

$\sin^22x\cos^22x=\dfrac{(1-\cos4x)(1+\cos4x)}4=\dfrac{1-\cos^24x}4$

Applying once more, you have

$\dfrac{1-\cos^24x}4=\dfrac{1-\dfrac{1+\cos8x}2}4=\dfrac{1-\cos8x}8$

So,

$\displaystyle\int\sin^22x\cos^22x\,\mathrm dx=\frac18\int(1-\cos8x)\,\mathrm dx=\frac x8-\frac1{64}\sin8x+C$

7 0

2 years ago

A computer manufacturer is performing a quality check to make sure the computers’ sound cards are working correctly. The plant m

Klio2033 [76]

we need to find the probability of bad sound cards.

we are having 1000 computers so 1000 sound card will be there.

manager found that 4 sounds are defective out of 1000 sound cards.

$P(D)$ of defective sound cards= $n(D)/n(s)=4/1000=0.004$

we know that 1 is the total probability.out of 0.004 is the failure.

6 0

2 years ago

Read 2 more answers

In AMNO, m = 150 inches, n = 550 inches and o=630 inches. Find the measure of ZO

JulsSmile [24]

Answer:

115.8

Step-by-step explanation:

Delta math

4 0

2 years ago

Eight pens cost $9.20. what is the unit price? __ per pen?

juin [17]

Unit price is the price for 1.

9.20/8 = 1.15

Unit price = $1.15

8 0

2 years ago

You are building a shelf that fits in a corner in the figure the entire shelf is XYZ each unit in the coordinate plane represent

horsena [70]

Answer:

$Area = 112.5$

Step-by-step explanation:

Given

$X = (15,20)$

$Y = (15,5)$

$Z = (0,5)$

Required

Determine the area of the triangle

The area is calculated using the following formula:

$Area = |\frac{X_x(Y_y - Z_y) + Y_x(X_y - Z_y) + Z_x(X_y - Y_y)}{2}|$

Where

$(X_x,X_y) = (15,20)$

$(Y_x,Y_y) = (15,5)$

$(Z_x,Z_y)= (0,5)$

Substitute right values in the given formula:

$Area = |\frac{15(5 -5) + 15(20 - 5) + 0(20 - 5)}{2}|$

$Area = |\frac{15(0) + 15(15) + 0(15)}{2}|$

$Area = |\frac{0 + 225 + 0}{2}|$

$Area = |\frac{225}{2}|$

$Area = |112.5|$

$Area = 112.5$

<em>Hence, the area of the triangle is 112.5</em>

8 0

2 years ago