Determine the rule that the numbers in the sequence obey, and then utilize this rule to determine the missing term to complete a number sequence. The rule that the numbers in the example above adhere to is "Add 8 and then remove 2." Therefore, 32 is the term that is missing from the given number sequence.
<h3>What is a number sentence?</h3>
- A number sentence is an equation or inequality that is articulated using numbers and mathematical symbols in the context of mathematics education.
- In the US, Canada, UK, Australia, New Zealand, South Africa, and other countries, the phrase is used in the instruction of elementary-level mathematics.
- The word is employed when asking pupils to write equations using fundamental mathematical symbols.
- Unknown values are sometimes denoted by boxes or forms.
- To introduce pupils to the ideas of structure and basic algebra before more formal teaching of these concepts, number sentences are utilized.
<h3>A math sentence is what?</h3>
- A mathematical statement about two expressions is made.
- Either integers, variables, or a combination of both are used in the two phrases.
- Additionally, words or symbols like equals, greater than, or less than can be used in a mathematical phrase.
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The force of gravity between the astronauts is
Explanation:
The magnitude of the gravitational force between two objects is given by:
where
:
is the gravitational constant
are the masses of the two objects
r is the separation between them
In this problem, we have two astronauts, whose masses are:
While the separation between the astronauts is
r = 2 m
Substituting into the equation, we can find the gravitational force between the two astronauts:
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Answer:
4.75 m/s
Explanation:
The computation of the velocity of the existing water is shown below:
Data provided in the question
Tall = 2 m
Inside diameter tank = 2m
Hole opened = 10 cm
Bottom of the tank = 0.75 m
Based on the above information, first we have to determine the height which is
= 2 - 0.75 - 0.10
= 2 - 0.85
= 1.15 m
We assume the following things
1. Compressible flow
2. Stream line followed
Now applied the Bernoulli equation to section 1 and 2
So we get
where,
P_1 = P_2 = hydrostatic
z_1 = 0
z_2 = h
Now
= 4.7476 m/sec
= 4.75 m/s
Answer:
Explanation:
The torque applied by a force can be calculated as
where
F is the magnitude of the force
d is the length of the arm
is the angle between the direction of the force and the arm
In this problem, we have
F = 15 N
d = 2.0 m
Substituting into the equation, we find