Determine how many terms of the following convergent series must be summed to be sure that the remainder is less than 10^{{-5}} Although you do not need? it, the exact value of the series is given. ln128=\sum_{k=1}^{\infty }\frac{7(-1)^{k+1}}{k}The number of terms that must be summed is \square .

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc

35 is an outlier

step-by-step explanation:

this excerpt is taken from the book “we shall not be moved : the women’s factory strike of 1909 “ and is written by joan dash. it is the story of the great strike when almost 30thousand women working in factories in america formed a union to fight unsafe working conditions, long working hours and miserable wages.

question: which best states the author’s purpose for including this information in the text?

answer: to challenge the reader’s ideas about a historical event

there would be 162.15 calories in this cereal.

step-by-step explanation: