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.
Learn more about number sentences here:
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Answer:
Explanation:
A charge located at a point will experience a zero electrostatic force if the resultant electric field on it due to any other charge(s) is zero.
is located at the origin. The net force on it will only be zero if the resultant electric field intensity due to 
and 
at the origin is equal to zero. Therefore we can perform this solution without necessarily needing the value of .
Let the electric field intensity due to be +
and that due to be -
since the charge is negative. Hence at the origin;
From equation (1) above, we obtain the following;
From Coulomb's law the following relationship holds;
where 
is the distance of from the origin, 
is the distance of from the origin and k is the electrostatic constant.
It therefore means that from equation (2) we can write the following;
k can cancel out from both side of equation (3), so that we finally obtain the following;
Given;
Substituting these values into equation (4); we obtain the following;
An important element of the political system as foreseen by James Madison is Interest groups.
Option c
<h3><u>
Explanation:</u></h3>
The group of people with specific political interest is known as political interest group. Many efforts are organized to influence laws and policies of government. These political groups pass laws which benefits their own political group. This group can also be known as special interest group or advocacy groups.
The main purpose of Interest group is to influence public group. The work done by them is to educate the public and also policy makers and their issues. Many ways to fund their causes is also found. The function of interest group is to influence the policy of public in its favor.
Answer:
a. 32.67 rad/s² b. 29.4 m/s²
Explanation:
a. The initial angular acceleration of the rod
Since torque τ = Iα = WL (since the weight of the rod W is the only force acting on the rod , so it gives it a torque, τ at distance L from the pivot )where I = rotational inertia of uniform rod about pivot = mL²/3 (moment of inertia about an axis through one end of the rod), α = initial angular acceleration, W = weight of rod = mg where m = mass of rod = 1.8 kg and g = acceleration due to gravity = 9.8 m/s² and L = length of rod = 90 cm = 0.9 m.
So, Iα = WL
mL²α/3 = mgL
dividing through by mL, we have
Lα/3 = g
multiplying both sides by 3, we have
Lα = 3g
dividing both sides by L, we have
α = 3g/L
Substituting the values of the variables, we have
α = 3g/L
= 3 × 9.8 m/s²/0.9 m
= 29.4/0.9 rad/s²
= 32.67 rad/s²
b. The initial linear acceleration of the right end of the rod?
The linear acceleration at the initial point is tangential, so a = Lα = 0.9 m × 32.67 rad/s² = 29.4 m/s²
A big part of the reason that mirrors are seldom if ever used to generate
electricity is the simple fact that there is no way to generate electricity using
mirrors. They are as useless for the purpose as smoke is, although there are
those who have used both items simultaneously to create the impression that
they have succeeded in that attempt.
