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qaws [65]
2 years ago
11

Mikel walks down 5 flights of stairs . each flight has 8 steps. which describes mikel's descent

Mathematics
1 answer:
Ludmilka [50]2 years ago
4 0

Answer:

40 steps downwards

Step-by-step explanation:

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What is the probability of rolling the sum of 5 or 8 on a pair of number cubes?
Tasya [4]

|\Omega|=6^2=36\\|A|=\underbrace{4}_{\text{the sum is 5}}+\underbrace{5}_{\text{the sum is 8}}=9\\\\P(A)=\dfrac{9}{36}=\dfrac{1}{4}=25\%

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8 0
3 years ago
Math quest after a winter storm, the depth of the snow on cherry street was 10 \text{ cm}10 cm10, space, c, m. but then, the sno
Zanzabum

Answer:

9 cm.

Step-by-step explanation:

Let x be the number of hours.

We have been given that after a winter storm, the depth of the snow on cherry street was 10 cm. Then, the snow started melting at a rate of \frac{1}{3}, so the snow melted in x hours will be \frac{1}{3}x.

Since initially there was 10 cm of snow, so the depth of snow after x hours will be:

10-\frac{1}{3}x

To find the depth of snow after 3 hours we will substitute x=3 in our expression.

10-\frac{1}{3}\times 3

10-1

9

Therefore, the depth of the snow on cherry street after 3 hours will be 9 cm.

3 0
3 years ago
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5x + 5x =10x____^a0​
PSYCHO15rus [73]
5(x + 10)?  A.5x + 10 B.5x + 10x C.5x + 50 D.5 + x + 10.
7 0
3 years ago
Type the correct answer in each box. (____)
trapecia [35]

Answer:

1. -16; 2. +64; 3. 16

Step-by-step explanation:

The formula for the volume of a cylinder is

V = πr²x

Data:

r = (x - 8)   mm

V = 1024π mm³

Calculations:

1. Find the cubic equation  

V = πr²h

1024π = π(x - 8)² × x

Divide each side by π

1024 = x(x - 8)²  

1024 = x(x² - 16x  + 64)

1024 =    x³ - 16x² + 64x

x³ - 16x² + 64x - 1024 = 0

2. Solve the cubic equation

The general formula for a third-degree polynomial is

f(x) = ax³ + bx² + cx + d

Your polynomial is  

f(x) = x³ - 16x² + 64x - 1024

a = 1; d = -1024

According to the <em>rational roots theorem</em>, the possible roots are

factors of d/factors of a

Factors of d = ±1, ±2, ±4, ±8, ±16, ± 32, ± 64, ±128, ±256, ±512, ±1024

Factors of a = ±1

Potential roots are x = ±1, ±2, ±4, ±8, ±16, ± 32, ± 64, ±128, ±256, ±512, ±1024

That's a lot of possibilities to check by trial and error. I will just use the one that works.

Try x = 16 by synthetic division.

16|1  -16   64  -1024

  <u>|     16     0   1024 </u>

   1     0   64        0

So,

(x³ - 16x² + 64x - 1024)/(x – 16) = x² + 64

and

(x - 16)(x² + 64) = 0

x - 16 = 0        x² + 64 =    0

     x = 16       x²         = -64

                       x          =  ±8i

There is only one real root: x = 16 mm

6 0
3 years ago
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