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3 years ago

Which of the following units for mass is a SI unit

Mathematics

2 answers:

Sedaia [141]3 years ago

4 0

kilogram is an si unit my friend

azamat3 years ago

3 0

Answer:

kilogram

Step-by-step explanation:

You might be interested in

1.Simplify 5 to the 5th over 5 to the 8th.

timurjin [86]

Q1. The answer is 1 over 5 to the 3rd power.

5 to the 5th is 5⁵
5 to the 8th is 5⁸
5 to the 5th over 5 to the 8th is $\frac{ 5^{5} }{ 5^{8} }$
To simplify, we will use two rules:
$\frac{ x^{a}}{ x^{b} } = x^{a-b} \\ x^{-a} = \frac{1}{ x^{a}}$
Therefore:
$\frac{ 5^{5} }{ 5^{8} } = 5^{5-8} =5^{-3}= \frac{1}{5^{3}}$
$\frac{1}{5^{3}}$ is the same as 1 over 5 to the 3rd power.

Q2. The answer is (53)−4.

The exponents are multiplied when are expressed in the form:
 $(x^{a}) ^{b}= x^{a*b}$
So, $(5^{3} )^{-4}=5^{3*(-4)}=5^{-12}$

Other choices are incorrect:
one third to the 4th times one third to the 7th is $( \frac{1}{3} )^{4} *( \frac{1}{3} )^{7}=( \frac{1}{3} )^{4+7}$
3 to the 7th over 3 to the 15th is $\frac{ 3^{7} }{3^{15}} =3^{7-15}$
45 ⋅ 42 is $4^{5}* 4^{2} = 4^{5+2}$

3 0

3 years ago

Read 2 more answers

A ball is thrown into the air. The path it takes is modeled by the equation: -3t+24t = h, where t is the time in seconds and h i

astra-53 [7]

Given:

The given equation is:

$-3t^2+24t=h$

Where, t is the time in seconds and h is the height of the ball above the ground, measured in feet.

To find:

The inequality to model when the height of the ball is at least 36 feet above the ground. Then find time taken by ball to reach at or above 36 feet.

Solution:

We have,

$-3t^2+24t=h$

The height of the ball is at least 36 feet above the ground. It means $h\geq 36$ .

$-3t^2+24t\geq 36$

$-3t^2+24t-36\geq 0$

$-3(t^2-8t+12)\geq 0$

Splitting the middle term, we get

$-3(t^2-6t-2t+12)\geq 0$

$-3(t(t-6)-2(t-6))\geq 0$

$-3(t-2)(t-6)\geq 0$

The critical points are:

$-3(t-2)(t-6)=0$

$t=2,6$

These two points divide the number line in 3 intervals $(-\infty,2),(2,6),(6,\infty)$ .

Intervals Check point $-3(t-2)(t-6)\geq 0$ Result

$(-\infty,2)$ 0 $(-)(-)(-)=(-)$ False

$(2,6)$ 4 $(-)(+)(-)=+>0$ True

$(6,\infty)$ 8 $(-)(+)(+)=(-)$ False

The inequality is true for (2,6) and the sign of inequality is $\geq$ . So, the ball is above 36 feet between 2 to 6 seconds.

$6-2=4$

Therefore, the required inequality is $-3t^2+24t\geq 36$ and the ball is 36 feet above for 4 seconds.

3 0

3 years ago

The ratio of boys to girls in a class is 4:5

mestny [16]

Answer:

4/9 5/9

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Please help i put a picture on top

jolli1 [7]

Answer:

1/8÷7

Step-by-step explanation:

I think

3 0

3 years ago

A company that offers tubing trips down a river rents tubes for a person to use and "cooler" tubes to carry food and water. A gr

mestny [16]

Answer: the group rented 11 Person tubes and 4 cooler tubes

Step-by-step explanation:

There are two types of tubes, Person tube and cooler tube.

Let P represent number of Person tubes that the group rented.

Let C represent number of Cooler tubes that the group rented.

The group spends $270 to rent a total of 15 tubes and Person tube $20 Cooler tube $12.50. Two linear equations can be derived from the above information

P + C = 15 - - - - - - - 1

20P + 12.5C = 270 - - - -- - - 2

Substituting P = 15 - C into equation 2,

It becomes

20(15-C) + 12.5C = 270

300 - 20C + 12.5C = 270

- 20C + 12.5C = 270 -300

7.5C = - 30

C = 30/7.5 = 4

P = 15 - C

P = 15 - 4 = 11

7 0

3 years ago