Please HELP me with these and explain. i did these but i wanna make sure they are right.
Answers
52.192 = 52.2 to the tenth place
0.61 = 1 to the unit(ones) place
348.508 = 348.51 to the hundredth place
18)52.200
19)1.00
20)348.510
Related Questions
Select the proper order from least to greatest for 1/2 ,5/6 , 2/7 , 4/2a) 4/2 , 5/6, 1/2, 2/7 b) 4/2, 2/7, /6, 1/2 c) 2/7, 1/2, 5/6, 4/2 d) 2/7, 5/6, 1/2, 4/2
Is 0.789 greater than 0.7 or less then it?
8x___=0.24please help me with this-
In 4 years, harry’s age will be the same as jim’s age is now. in 2 years, jim will be twice as old as harry will be. find their ages now.
Answers
Answer:
The rule is: y = -10x+85
Step-by-step explanation:
The rule is given by:
Here m is the gradient and b is the y-intercept.
We have to take two pairs of input-output to find the rule
Let the two pairs be:
(x1,y1) = (1,75)
(x2,y2) = (2,65)
Slope is found using the formula:
Putting the values
Putting the value of slope
Putting a pair of input-output in the equation (1,75)
Putting the value of b
Hence,
The rule is: y = -10x+85
Answers
The product of the given expression (x − 3)^2 would be equal to x^2 - 6x + 9.
What is a solution for a quadratic equation?
Suppose that we've a function y = f(x) such that f(x) is quadratic.
When y = 0, then the values of x for which f(x) = 0 is called solution of quadratic equation f(x) = 0
This solution gives values of x, and when we plot x and f(x), we'd see that the graph intersects the x-axis at its solution points.
Example: For x² + 5x + 6 = 0, the solutions are x = -3, and x = -2.
The graph of y = x² + 5x + 6 will intersect the x-axis at x= -3 and x=-2 (and those are the only intersection it will do on x-axis).
The given expression is
Learn more about solutions of a quadratic equation here:
#SPJ2
Answer:
x2 − 6x + 9
Step-by-step explanation:
Took a test and got it right
What is the maximum height the ball will reach?
Find the number of seconds the ball is in the air when it reaches a height of 224 feet.
After how many seconds will the ball hit the ground before rebound?
Answers
after 3 seconds (just substitute t=3):
16(3)(9-3)=
16(3)(6)=
16*18=
288
maximum height: find the average of the roots:
the roots of 16t(9-t) are t=0 or t=9
since it's a parabola, the maximum is at t=4.5, at 324 ft
if its height is 224 feet, the equation is 224=144t-16t^2
16t^2-144t+224=0
divide by 16: t^2-9t+14=0
this can be factored as (t-2)(t-7)=0
the roots are t=2 and t=7, so the ball has been in the air for either 2 seconds or 7 seconds
the roots to 144t-16t^2 are 0 and 9, so the ball will hit the ground 9 seconds after being thrown
when you substitute a number in for t, it will tell you how high in the air the ball is after that many seconds. to find the height at three seconds, put in 3 for t.
h = -16*9 + 144*3
h = -144 + 3*144
h = 2*144 (i didn't want to multiply out 3*144 cause im lazy, so i combined like terms as if 144 was a variable.)
h = 288
after 3 seconds, the ball is 288ft in the air.
the maximum height is more complicated (and feel free to skip this paragraph if you think it'll confuse you more.) you could do it with a graphing calculator by graphing the function f(x)=-16x^2+144t and using a maximum feature. you could also use differential calculus to find it. but i think the best way is the way suggested by the person who answered before me, that is, finding the average of the roots. since the parabola's line of symmetry is perpendicular to the x-axis, that means the places the parabola intersects the x-axis (the roots) will be the same distance from the axis of symmetry and therefore the same distance from the vertex (the maximum point of the parabola.)
the roots of the parabola can be found this way:
h = -16t^2 + 144t
0 = -16t^2 + 144t
0 = t(-16t + 144)
0 = t or 0 = -16t + 144
16t = 144
t = 9
the roots are t=0 and t=9, therefore the line of symmetry (the middle of the parabola) is t=4.5. to find the maximum point of the parabola, plug 4.5 into the function for t and find the resulting height.
h = -16(4.5)^2 + 144(4.5)
h = -324 + 648
h = 324
so the maximum height happens at t=4.5 seconds, and the maximum height is 324ft.
to find how long it takes for the ball to be at 224 feet in the air, substitute 224 in for h:
h = -16t^2 + 144t
224 = -16t^2 + 144t
56 = -4t^2 + 36t divide by 4
14 = -t^2 + 9t divide by 4 again
t^2 - 9t + 14 = 0 rearrange
(t - 7)(t - 2) = 0
t = 7 and t = 2
at 2 seconds and again at 7 seconds, the ball will be 224ft in the air.
after how many seconds will the ball hit the ground? we already know this. the ball touches the ground just like the parabola touches the x-axis. to find when the ball hits the ground, we just have to find the root of the parabola, and we already know from earlier that the roots are t=0 and t=9. so, the ball will come into contact with the ground at 9 seconds.
hope this helped
Answers
rhythm of the falling rain answered 6 yearGiven an if-then statement "if p, then q", we can create three related statements:
A conditional statement consists of two parts, a hypothesis in the “if” clause and a conclusion in the “then” clause.
For instance, “If it rains, then they will cancel school.”
“It rains, “is the hypothesis.
“They will cancel school,” is the conclusion.
To form the converse of the conditional statement, interchange the hypothesis and the conclusion.
The converse of “If it rains, then they will cancel school.” is
“If they cancel school, then it rains.”
To form the inverse of the conditional statement, take the negation of both the hypothesis and the conclusion.
The inverse of “If it rains, then they will cancel school” is “If it does not rain, then they do not cancel school.”
To form the contrapositive of the conditional statement, interchange the hypothesis and the conclusion of the inverse statement.
The contrapositive of “If it rains, then they will cancel school” is “If they do not cancel school, then it does not rain.”
Summary:
Statement If p, then q.
Converse If q, then p.
Inverse If not p, then not q.
Contrapositive If not q, then not p.
If the statement is true, then the contrapositive is also logically true. If the converse is true, then the inverse is also logically true.
Example:
Statement If a person is 18 years old, then he is a legal adult.
Converse If a person is a legal adult, then he is 18 years old.
Inverse If a person is not 18 years old, then he is not a legal adult.
Contrapositive If a person is not a legal adult, then he is not 18 years old.
Answers
V(pyramid)=1/3 * B * H = 1/3 * r² π * 3 r ( 3 will cancel out )= r³ π
Answer: r³ π
base of the pyramid :πr²
height=r
Volume=b*h/3=1/3* π*r^3