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2 years ago

How many 3-digit numbers less than 500 can be formed from 0, 2, 4, 6, if repetition of digits is allowed?

Mathematics

1 answer:

guapka [62]2 years ago

3 0

Answer:

about 38

Step-by-step explanation:

im not gonna list all imma list a few

264 260 246 240 244 266 262 yeah alot more

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(Ill give brainliest)

Anna007 [38]

Answer:

522

Step-by-step explanation:

3 0

3 years ago

which equation represents the line that passes through the point (-2,2) and is parallel to y=1/2x + 8

Nataliya [291]

The first thing is the slope
y = 1/2 x + b is the new line. Now we must solve for b
2 = 1/2 (-2) + b
2 = -1 + b
3 = b
The new line is
y = 1/2 x +3

5 0

3 years ago

3x^4 +x^3+4x-33<br> x^2+4

icang [17]

Answer:

3x^2 + x -12 + 15/(x^2+4)

Step-by-step explanation:

8 0

3 years ago

Given sin(u)= -7/25 and cos(v) = -4/5, what is the exact value of cos(u-v) if both angles are in quadrant 3

solmaris [256]

Given:

$\sin (u)=-\dfrac{7}{25}$

$\cos (v)=-\dfrac{4}{5}$

To find:

The exact value of cos(u-v) if both angles are in quadrant 3.

Solution:

In 3rd quadrant, cos and sin both trigonometric ratios are negative.

We have,

$\sin (u)=-\dfrac{7}{25}$

$\cos (v)=-\dfrac{4}{5}$

Now,

$\cos (u)=-\sqrt{1-\sin^2 (u)}$

$\cos (u)=-\sqrt{1-(-\dfrac{7}{25})^2}$

$\cos (u)=-\sqrt{1-\dfrac{49}{625}}$

$\cos (u)=-\sqrt{\dfrac{625-49}{625}}$

On further simplification, we get

$\cos (u)=-\sqrt{\dfrac{576}{625}}$

$\cos (u)=-\dfrac{24}{25}$

Similarly,

$\sin (v)=-\sqrt{1-\cos^2 (v)}$

$\sin (v)=-\sqrt{1-(-\dfrac{4}{5})^2}$

$\sin (v)=-\sqrt{1-\dfrac{16}{25}}$

$\sin (v)=-\sqrt{\dfrac{25-16}{25}}$

$\sin (v)=-\sqrt{\dfrac{9}{25}}$

$\sin (v)=-\dfrac{3}{5}$

Now,

$\cos (u-v)=\cos u\cos v+\sin u\sin v$

$\cos (u-v)=\left(-\dfrac{24}{25}\right)\left(-\dfrac{4}{5}\right)+\left(-\dfrac{7}{25}\right)\left(-\dfrac{3}{25}\right)$

$\cos (u-v)=\dfrac{96}{625}+\dfrac{21}{625}$

$\cos (u-v)=\dfrac{1 17}{625}$

Therefore, the value of cos (u-v) is 0.1872.

6 0

3 years ago

A liquid shake is being served in a cone shaped container with a base diameter of 8 centimeters and a height of 22 centimeters.

zhuklara [117]

Answer:

The container weighs approximately 28 g.

Step-by-step explanation:

In order to solve this problem we first need to calculate the volume of the container, since it's shaped like a cone we must use the following formula:

volume container = (pi*r²*h)/3

Applying the data from the problem:

r = d / 2 = 8/2 = 4 cm

volume container = [pi*(4)²*22]/3

volume container = (pi*16*22)/3

volume container = (352*pi)/3 = 368.6135 cm³

Since the density is 0.82 g/cm³, we can find the mass of the shake by using the following formula:

density = mass / volume

shake mass = density*volume = 0.82*368.6135 = 302.26307 g

Since the container plus shake weighs 330 grams, then the container alone weighs:

container = 330 -302.26307 = 27.73693 g

The container weighs approximately 28 g.

5 0

4 years ago