Fifteen pieces of paper are numbered 1 to 15 and placed in a container. One piece of paper is selected at random, then replaced. The second piece of paper is selected at random. What is the probability that the first piece of paper is marked with a number less than 5 and the second piece of paper is marked with a 12?

Answer:

[tex]V=2197\ cm^3[/tex]

Step-by-step explanation:

Surface Area and Volume of a Cube

Given a cube of side length a, the surface area is:

[tex]A = 6a^2[/tex]

The volume is calculated as:

[tex]V=a^3[/tex]

It's given the surface area of a cube:

[tex]A=1014\ cm^2[/tex]

We can find the side length a by solving for a:

[tex]\displaystyle a=\sqrt{\frac{A}{6}}[/tex]

[tex]\displaystyle a=\sqrt{\frac{1014}{6}}[/tex]

[tex]\displaystyle a=\sqrt{169}[/tex]

a = 13 cm

Now compute the volume:

[tex]V=13^3[/tex]

[tex]\boxed{V=2197\ cm^3}[/tex]

Answer: a) 2197 cm^3

Answer:

x = 8 ± 4√2

Step-by-step explanation:

(x - 8)² - 7 = 25

Add 7 to both sides.

(x - 8)² = 32

Take the square root for both sides.

x - 8 = ±√32

Add 8 to both sides.

x = 8 ±√32

Simplify √32

√32 = √16 · √2

√32 = ±4√2

x = 8 ± 4√2

Answer:

TZ = 24

Step-by-step explanation:

Similar Triangles

If two triangles are similar, then:

* All the corresponding side lengths are proportional by the same scale factor

* All the internal angles are congruent.

The image provided in the question has two similar triangles TYZ and TWX. We have completed the shape with a variable p =TZ, whose value will be determined by applying the first similarity condition above.

The ratio between the heights is 20:16, and the proportion between the bases is (6+p):p, thus:

[tex]\displaystyle \frac{6+p}{p}=\frac{20}{16}=\frac{5}{4}[/tex]

Cross-multiplying denominators:

4(6 + p) = 5p

24 + 4p = 5p

Solving for p:

p = 24

Then, TZ = 24

Answer:

Area = 2x² + x - 6

Step-by-step explanation:

The area of the shaded region is the square area minus the triangle area:

[tex](3 {x}^{2} - 7x + 12) - ( {x}^{2} - 8x + 18) \\ {3x}^{2} - 7x + 12 - {x}^{2} + 8x - 18 \\ {2x}^{2} + x - 6[/tex]

Answer: 10

you have to find a common denominator between two and five which is 10. therefore making the number 2 into the fraction 20/10 and finding the common denominator of 1/5 makes it now 2/10. now divide 20 by 2 which gets you 10. and dividing 10 by 10 gets you. therefore making the new fraction 10/1 which is equal to 10. :)

Answer:

THX FOR THE POINT NOOB

Step-by-step explanation:

Answer:

x

Step-by-step explanation:

Answer:

i think

12 x 3 = 36 feet long

Answer:

36 feet and maybe check me out on sou-ndcloud and spo-tify and rate a sound I made "Jealousy is a bltch I hate her" might wanna turn down ur headphones and audio in general

Step-by-step explanation:

Answer:

greater than...

equal

Step-by-step explanation:

welcome

Answer:

[tex] \arc{PNM} = 222 [/tex]

Step-by-step explanation:

Central angle = measure of the arc it subtends

Therefore:

[tex] \arc{PN} = \arc{PM} = 138 [/tex]

A full circle = 360°

So,

[tex] \arc{PN} + \arc{PM} + \arc{NM} = 360 [/tex]

Plug in the values

[tex] 138 + 138 + \arc{NM} = 360 [/tex]

[tex] 276 + \arc{NM} = 360 [/tex]

[tex] \arc{NM} = 360 - 276 [/tex] (subtraction property of equality)

[tex] \arc{NM} = 84 [/tex]

[tex] \arc{PNM} = \arc{NM} + \arc{PN} [/tex]

Plug in the values

[tex] \arc{PNM} = 84 + 138 [/tex]

[tex] \arc{PNM} = 222 [/tex]

Answer:

hope this helps \(owo)\

Step-by-step explanation:

Answer:

x= -2

Step-by-step explanation:

5x-3=12x+11

5x=12x+14

-7x=14

x= -2

Answer:

19x

Step-by-step explanation:

12+3+4=19

19x

Answer:

12x+3x+4x=19x

Step-by-step explanation:

Answer:

4,5,9

8,9

35

Step-by-step explanation:

hope this helps

9514 1404 393

Answer:

  80.67 fps

Step-by-step explanation:

1 mi/h = 22/15 ft/s

Multiplying this equation by 55, we get ...

  55 mi/h = 1210/15 ft/s = 80 2/3 ft/s ≈ 80.67 ft/s

Answer:

1

Step-by-step explanation:

16 cups of water - 4 cups of paper

4 cups of water - [tex]\frac{4}{16}[/tex] × 4 cups of paper = 1 cup of paper

Answer:

1.

Step-by-step explanation:

16/4=4 and 4/4=1. 4/1 is the unit rate of 16/4. hope that helps

Answer:

A) 77/427

B) 77/420

C) 420/427

Step-by-step explanation:

Sin= Opposite/Hypotenuse

Opposite always make a 90° with the Adjacent. adjacent and the Hypotenuse are across each other.

Cos= Adjacent/Hypotenuse

Tan= Opposite/Adjacent

Answer:

part a: 420/427

part b: 420/77

part c: 77/427

Answer:

C. y-intercept: -3

slope: 3/2

Step-by-step explanation:

✔️The line cuts across the y-axis at y = -3. Therefore the y-intercept = -3.

✔️Slope of the line using two points on the line, (0, -3) and (2, 0):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - (-3)}{2 - 0} = \frac{3}{2} [/tex]

Slope = ³/2

Answer:

5

Step-by-step explanation:

Brainly plsss

Answer:

Step-by-step explanation:

I attached the work and answer below, take a look!

Answer:

C.

Step-by-step explanation:

< is less than the one with the line is less than equal to

Answer:

D

Step-by-step explanation:

Since there's a circle on -3 then it's not considered on the graph and a dot on 4 so it's considered.

[tex] - 3 < x \leqslant 4[/tex]

Answer:need help with what question?

Step-by-step explanation: what question?

Answer:

Adam: 52.26°

Step-by-step explanation:

Use Cosine Rule, [tex] Cos(C) = \frac{a^2 + b^2 - c^2}{2ab} [/tex], to find the angle of both players.

✔️Angle of Carlos:

Let the angle be C,

a = 50 ft

b = 40 ft

c = 24 ft

Plug in the values into the equation

[tex] Cos(C) = \frac{50^2 + 40^2 - 24^2}{2*50*40} [/tex]

[tex] Cos(C) = \frac{3,524}{4,000} [/tex]

[tex] C = Cos^{-1}(\frac{3,524}{4,000}) [/tex]

C = 28.24° (nearest hundredth)

✔️Angle of Adam:

Let the angle be C,

a = 30 ft

b = 22 ft

c = 24 ft

Plug in the values into the equation

[tex] Cos(C) = \frac{30^2 + 22^2 - 24^2}{2*30*22} [/tex]

[tex] Cos(C) = \frac{808}{1,320} [/tex]

[tex] C = Cos^{-1}(\frac{808}{1,320)} [/tex]

C = 52.26° (nearest hundredth)

Answer:

-6x+14<-28

x = x > 7

3x+28<=25

x = x less than or equal to -1

Step-by-step explanation:

Answer:

The answer is (-8,-5)

Step-by-step explanation:

Since the midpoint is (2, -5), the 2 endpoints should be equidistant from each other. Since  the endpoint that is given (12, -5), is 10 points to the right of the midpoint, the second midpoint should be 10 points to the left of it. 2-10=-8

Therefore, the other midpoint is (-8,-5)

Answer:

b

Step-by-step explanation:

i took the test

Answer:

Step-by-step explanation:

8m + 450 or 450 + 8m

Answer:

hope this helps below 0-0

Step-by-step explanation: