Equations, Expressions, and Inequalities Q&A: Get Expert Help and Learn from Real-World Examples

Calculate the time taken by the object to reach the ground if it is thrown from a height of 2000m. 20s.

Solve the inequality and graph the solution:
$8x>4(x+4)-<!--\; -\; -->6$

A falcon, when diving, can travel five times as fast as a pheasant's top speed. If the total speeds for these two birds is 222 miles per hour, find the fastest speed of the falcon and the fastest speed of the pheasant.

onvert 322.45g/cm^3 to (lb x m)/ft^3

Given the following set of numbers: 25, 2.5, –2, 2, and –1 What is the product of the integers?

150 adults in Center City were randomly surveyed regarding breakfast habits. Respondents were asked what fruit(s) they ate for breakfast. Let U= the universe (the set containing allrespondents) A= set of all adults who responded they eat an apple with breakfast, and B= set of all adults who responded they eat blueberries with breakfast. Survey results are reported in the Venn diagram above.
a. How many adults responded that they eat an apple with breakfast?
(This value $=n(A)$. "the number of elements in set A")
b. How many of the adults responded that they eat blueberries with breakfast?
(This value $=n(B)$. "the number of elements in set B")
c. How many of the adults responded that they eat both apples and blueberries with breakfest?
(This value $=n(A\cap <!--\; \cap \; -->B)$, "the number of elements in the intersection" of sets A and B")
d. How many of the adults responded that they eat apples or blueberries with breakfest?
(This value $=n(A\cup <!--\; \cup \; -->B)$, "the number of elements in the union of sets A and B")
e. How many adults responded that they eat apples but not blueberries with breakfast?
(This value $=n(A\cap <!--\; \cap \; -->B^{\prime })$, "the number of elements in the intersection of set A and the complement of set B")
f. How many adults responded that they eat blueberries but not apples with breakfast?
(This value $=n(A^{\prime }\cap <!--\; \cap \; -->B)$, "the number of elements in the intersection of the complement of set A and set B").
g. How many adults responded that they eat either apples or blueberries with breakfest, but not both?
(This value $=[n(A\cup <!--\; \cup \; -->B)-<!--\; -\; -->n(A\cap <!--\; \cap \; -->B)]$, "the number of elements in the union of sets A and B minus the number of elements in the intersection of sets A and B")
h. How many adults responded that they eat neither apples nor blueberries with breakfast?
(This value $=n(A^{\prime }\cap <!--\; \cap \; -->B^{\prime })$, "the number of elements in the intersection of the complement of set A and the complement of set B")

Simplify the following expressions:
$(a)A\times <!--\; \times \; -->(A\times <!--\; \times \; -->B)$
$(b)A\times <!--\; \times \; -->[A\times <!--\; \times \; -->(A\times <!--\; \times \; -->B)]$

Write in words what this inequalities statements in states. How would you read it?
$x\ge <!--\; \ge \; -->4$ and $-<!--\; -\; -->3<x$

Find:
1. $\frac{mpk-<!--\; -\; -->p^2}{pm-<!--\; -\; -->pk}$
2. $\frac{p{m}^2-<!--\; -\; -->mk}{k^2+pm}$
3. $\frac{p^2-<!--\; -\; -->m^2}{k^3+mk-<!--\; -\; -->k}$

A police officer is called to an accident scene across town from his present location. If he has to travel two miles on Grant Road, three miles on Route 47, and 12 miles on Interstate 70, how many miles must he travel to get to the accident scene?

solve and check 5(9-2y)+4y =9

A team of 4 golfers scored 69,73,70, and 74 on the first round on a par 72 course. They reduced their team score by 3 on the second round.
a) How many strokes above or below par was the team score on the first round?

A)Consider the set of all non-negative integers, with addition as the binary operation.Is this group? why or why not?
B)let G be a finte group . Show that there are an odd number of elements that satisfy the equation a^3 =e
hint:1)if a is one solution , a^-1 is another
2)a=a^-1 only if a=e
e alon with pairs of solution a.a^-1 b. b^-1. . . . . .
so;
so prove 1 and 2 the hint is true ?

-1.28= x-100/10

Solve the inequality. Write your answer in interval notation and graph the solution set on a number line: $-<!--\; -\; -->7<5-<!--\; -\; -->2x\le <!--\; \le \; -->1$

Jean's bedroom is 10 feet by 13 feet. She has chosen a carpet which costs $33.60 per square yard This includes installation. Determine her cost to carpet her room.

So far, Mahelia has run 3/2 miles, but that is only 2/5 of her total running distance. What is her totalrunning distance? Explain how to reason about equivalent fractions and the number line to solve your problem.

6/2(1+3)= 1 right?

Solve:
$\frac{2y^2}{(x^4{y}^0{)}^{-<!--\; -\; -->4}}$

Write a numerical expression for each verbal phrase.
1. two people share a lunch bill of $10
2. the new price if $6 is taken off a $15 item