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dezoksy [38]
3 years ago
5

if you multply two decimals that are less than 1 , can you predict whether the product will be less than or greater than either

of the factors?
Mathematics
1 answer:
nekit [7.7K]3 years ago
7 0
Yes.  Multiplying anything by a number less than one will decrease the original number.  So multiplying two decimals will result in a number less than either one.
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A metallic sphere is immersed in water in a cylindrical container causing a rise in the level of water by 7.5cm if the cylinder
SVETLANKA909090 [29]

Answer:

6.51 cm

Step-by-step explanation:

Since the sphere causes the water level in the cylindrical container to rise and thus increase by its own volume, the volume of the sphere is V = 4πr³/3 where r = radius of sphere. The volume rise of the container is thus    V' = πR²h where R = radius of base of cylinder = 7 cm and h = height of water level = 7.5 cm.

Since V = V',

4πr³/3 = πR²h

dividing through by π, we have

4r³/3 = R²h

multiplying both sides by 3/4, we have

r³ = 3R²h/4

taking cube-root of both sides, we have

r = ∛(3R²h/4)

Substituting the values of the variables into the equation, we have

r = ∛(3(7 cm)² × 7.5 cm/4)

r = ∛(3 × 49 cm² × 7.5 cm/4)

r = ∛(1102.5cm³/4)

r = ∛(275.625 cm³)

r = 6.508 cm

r ≅ 6.51 cm to 2 decimal places

3 0
2 years ago
What is the solution to 3x²+x+10=0
e-lub [12.9K]

Answer:

x = - 1/6 + √-119/6, and, - 1/6 - √-119/6

Step-by-step explanation:

Using the quadratic formula which is: - b ± √b² - 4ac / 2a

a = 3, b = 1, c = 10

- 1 ± √1² -4 * 3 * 10 / 2 * 3

- 1 ± √1 - 120 / 6

-1 ± √-119 / 6

= -1/6 + √119/6,               or                  - 1/6 - √-119/6

7 0
3 years ago
Everyday day Marvin exercises for 48 minutes.How many days will it take him to exercise for 576 minutes.
wel
It will take Marvin 12 days to exersise for 576
7 0
2 years ago
Write and solve the equation and then check your answer.
sweet-ann [11.9K]

Answer:

- The correct equation is 6s = 7.80

- The solution of the equation is s = $1.30

Step-by-step explanation:

To find the product of 6 and a number, first we denote the unknown number as s.

The product of 6 and s is the same as 6s.

If the product of both numbers is $7.80, then 6s = $7.80

The correct equation is therefore 6s = $7.80

To get the value of s, we will divide both sides by 6 to have:

6s/6 = $7.80/6

s = $1.30

Based on the calculation, the following statements are true

- The correct equation is 6s = 7.80

- The solution of the equation is s = $1.30

8 0
3 years ago
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Triangle ABC is reflected to form Triangle A’B’C
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Answer:

I believe it is reflection across the x axis.

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Callie

P..S Are you in k12

Step-by-step explanation:

4 0
3 years ago
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