Answer:
On the graphing calculator, use the function normCdf, where
lower bound = -9999upper bound = 210mean = 250standard deviation = 46It will result in normCdf(-9999,210,250,46) ≈ 0.192269 or 19.2269%
A ball is thrown vertically with a velocity of18 m/s. It’s height, h, in meters above the ground after t seconds is given by the equation: h= -5t2+10t+35. Algebraically, determine the following.
Find The maximum height of the ball and the time it takes to reach that height
The time it takes the ball to hit the ground.
PLEASE HELP!
Answer:
Step-by-step explanation:
First of all, something is wrong with either the wording in the problem or the equation that you wrote; if the upward velocity is 18, we should see 18t in the equation, not 10t. I solved using 10t.
To find the max height of the ball and the time it took to get there, we need to complete the square on this quadratic and solve for the vertex. That will give us both of those answers in one!
To complete the square, set the quadratic equal to 0 and then move over the constant, like this:
[tex]-5t^2+10t=-35[/tex] The rule is that we have to have a 1 as the leading coefficient, and right now it's a -5, so we factor that out, leaving us with:
[tex]-5(t^2-2t)=-35[/tex] and now we are ready to begin the process to complete the square.
The rule is: take half the linear term, square it, and add it to both sides. Our linear term is a -2 (from the -2t); half of -2 is -1, and -1 squared is 1. We add in a one to both sides. BUT when we put the 1 into the set of parenthesis on the left, we didn't just add in a 1, we have that -5 out front that is a multiplier. That means that we actually added in a -5 after it's all said and done.
[tex]-5(t^2-2t+1)=-35-5[/tex] and we'll clean that up a bit. The right side is easy, that's a -40. The left side...not so much.
The reason we complete the square is to put this quadratic into vertex form. Completing the square creates a perfect square binomial on the left, which for us is, along with the simplification on the right:
[tex]-5(t-1)^2=-40[/tex]
Lastly, we move the -40 back over by adding and setting the quadratic back to equal y:
[tex]-5(t-1)^2+40=y[/tex] and we see that the vertex is (1, 40). That translates to a height of 40 meters at 1 second after launch. That's the vertex which, by definition, is the max or min of the parabola. Because our parabola is negative, the vertex for us is a max.
To find out how long it takes the ball to hit the ground, set the quadratic equal to 0 and factor however it is you are currently doing this in class. You can continue to factor from the vertex form we have the equation in if you'd like. Let's do that, since we are already most of the way there. Begin here:
[tex]-5(t-1)^2=-40[/tex] and divide both sides by -5 to get
[tex](t-1)^2=8[/tex] and take the square root of both sides to "undo" that squaring on the left:
t - 1 = ±√8. Now add 1 to both sides to isolate the t:
t = 1 ± √8. In decimal form:
t = 1 + √8 is 3.828 seconds and
t = 1 - √8 is -1.828 seconds.
Since we all know that time will NEVER be a negative value, the time it takes the ball to hit the ground is 3.828 seconds.
hellppp meeeeeee pleaseeee
Answer:
Step-by-step explanation:
abscissa = x coordinate
ordinate = y coordinate
table:
A( 2,-3) / (2, -3) / 2/ -3
B(-1,-7) / (-1, -7) / -1/ -7
C(2,0) / (2,0) / 2 / 0
D(-9, 6) / (-9,6) / -9 / 6
E(2,4) . / (2,4) . / 2 / 4
F(0,-5) / (0,-5) / 0 / -5
In science class, Victor started an experiment using a solution with a temperature of
–
5°C. During the experiment, the change in the solution's temperature was
–
4°C. What was the final temperature of Victor's solution?
To solve the problem, Antonio added
–
5+(
–
4) and came up with an answer of
–
9°C. Is Antonio correct? Why or why not?
Can someone help with these two questions
Question 2
3rd part and 4th part are equivalent
Question 3
(i) 762,500
(ii) 7625
(iii) 0.007625
Answered by GauthMath please click thank you and comment thanks if you like it.
Asignen a cada situacion un numero entero A_la altura del monte everest es de 8848 m B_un buso descendio 25 m C_el auto esta estacionado en el 1° sub suelo D_se acreditador $500 en la caja de ahorro E_el deportista que obtuvo la medalla de oro en salto en alto alcanzo los 2,38 m F_la muralla china se construyo aproximadamente 200 años antes de cristo
Respuesta:
+8848 m;
- 25 metros
- 1
+ 500
+ 2,38
- 200
Explicación paso a paso:
Los signos se asignan en función del escenario descrito.
La altura del monte Everest representa la altitud y esto atrae un signo positivo.
Un descenso de 25 m representa una disminución y, por lo tanto, atrae un signo negativo.
El primer subsuelo se refiere al primer piso debajo, la posición hacia abajo atraerá un signo negativo.
Un crédito representa una adición, por lo tanto, atrae positivos
Un salto se clasificará como positivo
A la fecha o período pasado se le asignará un signo negativo
Which statements are true about the rectangular pyramid below? Select three options.
Answer:
Options (1), (2) and (4)
Step-by-step explanation:
1). Since, pyramid given in the picture is a rectangular pyramid,
Area of the rectangular base = Length × Width
= 6 × 4
= 24 cm²
2). There are four lateral sides of the pyramid.
3). Lateral sides of the pyramid are not congruent.
4). Total surface area = Area of the lateral sides + Area of the rectangular base.
Area of one lateral side = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(4.6)(4)[/tex]
= 9.2 cm²
Area of second lateral side = [tex]\frac{1}{2}(6)(4)[/tex]
= 12 cm²
Area of the lateral sides = 2(9.2) + 2(12)
= 42.4 cm²
Total surface area = 42.4 + 24
= 66.4 cm²
5). Area of the one face = [tex]\frac{1}{2}(6)(4)[/tex]
= 12 cm²
Area of the second face = [tex]\frac{1}{2}(4.6)(4)[/tex]
= 9.2 cm²
Therefore, Options (1), (2) and (4) are the correct options.
How many index laws are there?
Answer:
There are three laws of indices.
Analyzing Graphs of Functions
Which graph shows a function where f(2) = 4?
Answer:
the first one
Step-by-step explanation:
check which graph passes through the point (2,4)
Answer:
First graph
Step-by-step explanation:
Edge
Plz answer will give brainliest
These triangles are congruent by SAS, therefore HI and IJ will be the same length.
3v = v + 60
2v = 60
v = 30
Hope this helps!
Please help!! I have no idea how to do this
Answer:
i have also no idea but plz mark me as brainlist
Samuel played a video game. He gained some points, lost 87 points, and
finished with less than 320 points, Which of the following inequality
represents the given situation?
A.) n-87 < 320
B.) N + 87 < 320
C.) N-87 = 320
D.) n +87= 320
Answer:
A
Step-by-step explanation:
The correct inequality that represents the given situation is: A.) n - 87 < 320.
How to explain the equationThe situation states that Samuel played a video game and gained some points. Let's represent the points he gained as 'n'.
Next, it is mentioned that he lost 87 points. To represent this in the inequality, we subtract 87 from the initial points gained, which gives us 'n - 87'.
Finally, the situation specifies that Samuel finished with less than 320 points. This means that the final score, represented by 'n - 87', is less than 320.
This inequality represents that the initial points gained by Samuel (n) minus 87 points is less than 320 points, indicating that his final score is less than 320 points after losing 87 points.
Learn more about equations
https://brainly.com/question/2972832
#SPJ2
Create a system of linear equations with one solution. In your final answer, include the system of equations and the graphs of the lines.
Answer:
System of equations
[tex]x + y = 5[/tex]
[tex]y - 2x = -4[/tex]
[tex](x,y) = (3,2)[/tex] --- solution
See attachment for graph
Step-by-step explanation:
Solving (a): Linear equations with 1 solution
The only condition to this is that, the system must have 1 solution.
Other than that, there is no other condition.
A linear equation is represented as:
[tex]ax + by= c[/tex]
For the equation to have 1 solution;
[tex]a_1 * b_2 \ne a_2 * b_1[/tex]
And example of such equation is:
[tex]x + y = 5[/tex]
[tex]y - 2x = -4[/tex]
Solving (b): The graph
See attachment for graph
The solution is the point of intersection of both lines of the graph. So, we have:
[tex](x,y) = (3,2)[/tex]
What is the quotient of the synthetic division problem below, written in polynomial form?
-1| 1 7 15 9 7
Answer:
Step-by-step explanation:
If we have 5 terms to the right of the -1 outside the box thing, that means that our original polynomial is a 4th degree (the degree is one lower than the number of terms in order to allow for the constant which has no variable). Set up the synthetic division as shown in the problem. The rule is to bring down the first term, the 1 to the right of the box, multiply it by the number outside, -1, and put that product up under the next number in line inside the box. Like this:
-1 | 1 7 15 9 7
-1
1
Now add straight down, multiply the sum by -1 and put that product up under the next term in line, the 15:
-1 | 1 7 15 9 7
-1 -6
1 6
Then add straight down again, multiply the sum by -1 and put that product up under the next term in line, the 9:
-1 | 1 7 15 9 7
-1 -6 -9
1 6 9
Then do the same thing. Add straight down, multiply the sum by -1 and put the product up under the next term in line, the 7:
-1 | 1 7 15 9 7
-1 -6 -9 0
1 6 9 0 7
This is the final result. The last number, the 7 is the remainder, but the rest of it makes up what we call the depressed polynomial and is a polynomial that is one degree less than the degree we started with. So this depressed polynomial is a 3rd degree. The numbers are the coefficients on the x terms:
[tex]1x^3+6x^2+9x+0R7[/tex] or more simply stated:
[tex]x^3+6x^2+9xR7[/tex]
A mouse has made holes in opposite corners of a rectangular kitchen. The width of the kitchen is 2 meters and the distance between the mouse's holes is 3 meters. What is the length of the kitchen? If necessary, round to the nearest tenth.
Answer:
The length of the kitchen is 2.23 meters.
Step-by-step explanation:
Given that a mouse has made holes in opposite corners of a rectangular kitchen, and the width of the kitchen is 2 meters and the distance between the mouse's holes is 3 meters, the following calculation must be performed to determine what is the length of the kitchen, using the Pythagorean theorem:
Width = 2 meters
Hypotenuse = 3 meters
2 ^ 2 + X ^ 2 = 3 ^ 3
4 + X ^ 2 = 9
X ^ 2 = 9 - 4
X = √ 5
X = 2.236
Therefore, the length of the kitchen is 2.23 meters.
Two tapes, red and green, with lengths of 415 feet and 780 feet respectively are to be cut into pieces of equal length without remainder. Find the greatest possible length of the pieces.
Answer: _ feet
Answer:
The greatest possible length of the pieces is 5 feet
Step-by-step explanation:
Red = 415 feet
Green = 780 feet
Find the greatest possible length of the pieces.
Find the Highest common factor
415 = 1, 5, 83, 415
780 = 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390 and 780
The Highest common factor of 415 and 780 is 5
The greatest possible length of the pieces is 5 feet
Red = 415/5
= 83 pieces
Green = 780/5
= 156 pieces
b) 5(2x - 4)
Expand the following
Answer:
10x-20
Step-by-step explanation:
(5×2x)-(5×4)
10x-20
What should be subtracted from thrice the rational number -8/3 to get
5/2?
Answer: -21/2 or -10.5
Step-by-step explanation:
Let x be the number that is going to be subtracted from the rational number
3 × (-8/3) - x = 5/2 ⇒ Write the equation
-8 - x = 5/2 ⇒ Do multiplication
-8 - x + x = 5/2 +x ⇒ Add x on both sides
-8 = 5/2 + x ⇒ Simplify
-8 - 5/2 = 5/2 + x - 5/2 ⇒ Subtract 5/2 on both sides
x = -21/2 = -10.5 ⇒ Simplify
Hope this helps!! :)
Please let me know if you have any questions
Please help me with this.. and tell correct answer..
Answer:
Step-by-step explanation:
55 +80 + ∠C = 180 {Angle sum property}
135 + ∠C = 180
∠C = 180 - 135
∠C = 45
The side opposite to the biggest angle is the longest side
Biggest angle is ∠B. So the longest side is AC
Smallest angle is ∠C. So, the shortest side is BA
Which answers are elements of the solution set of the inequality? Check all that apply. X-54 > - 76
A.-25
B.-32
C.42
D.24
E.-36
F.-22
Answer:
C, D
Step-by-step explanation:
I assume your problem statement actually says
x - 54 > -76
x > -22
then the answers
C, D
are part of the solution set.
the others are not.
A post office always charges a flat one-time fee for any order. One time, Micheal sent 35 leters and paid 26 dollars. The next time, he sent 18 letters and paid $14.10. How much does the post office charge to send one letter? What is the flat fee?
Answer:
0.7 for one letter. 1.5 for flat fee...
Step-by-step explanation:
PLS HELP!
What effect will replacing x with (x + 7)have on the graph of the equation
y = x^2
Answer:
The answer would be C.
Compared to the original graph (red), the new graph (blue) is shifted 7 units to the left.
Step-by-step explanation:
Answer:
shift 7 units to the LEFT
Step-by-step explanation:
Yousuf had 117 marbles and Andrew had 23 marbles. Yousuf then gave some of his marbles to Andrew so that Yousuf ended with thrice as many marbles as Andrew. How many marbles did Yousuf give to Andrew?
Answer:
12
Step-by-step explanation:
117+23=140
140/4 = 35
35-23 = 12
B.
f(x) = -1x - 4; Find f(-3)
Answer:
f(-3) = -1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = -1x - 4
Step 2: Evaluate
Substitute in x [Function f(x)]: f(-3) = -1(-3) - 4Multiply: f(-3) = 3 - 4Subtract: f(-3) = -1Is the height of these students a function of their wrist circumference?
Yes because as wrist circumference increases height also increases.
O Yes because a line can be fit to these data to predict other pairings.
No because the height of 151 cm is paired with two wrist circumferences.
O No because the wrist circumference of 16 cm is paired with two heights,
Find f(-5) if f(x)=[x+1]
Answer: -5
Step-by-step explanation:
square brackets mean that you need to select an integer part from the number that does not exceed the original number, that is, if we have a number, that is, if [5,1]=5 or [-5,1]=-6 ; curly brackets highlight the fractional part {} [tex]\displaystyle\ \Large \ \boldsymbol{Rules: } \\\\\\\boldsymbol{ if \ x >0 => [x]=x-\{x\}} \\\\\\\boldsymbol{if \ x<0 => [x]=x-1+\{x\}} \\\\\\then \ \ f(-5)=[-5+1]= [-4]=-4-1+0=\boxed{-5}[/tex]
F={(-1, 2), (3, 2), (4,2), (0, 2)} Is Fa function and why/why not?
Answer:
yes it is a function A
Step-by-step explanation:
3 + 2 not really a question but does anyone know the user who's name is playboy or something leave a comment below please
Answer:
your my friend your questions are cool
Answer:
5
Step-by-step explanation:
Well I not know which playboy you’r talking because there are lot of people name has that
The circle below is centered at the origin and has a radius of 2. What is its equation?
Find the zeroes of the following quadratic polynomials and verify the relationship between
the zeroes and the coefficients.
(i)4u^2+8u
Answer:
Hello,
Step-by-step explanation:
Since 4u²+8u=4u(u+2)
Zeroes ={0,-2}
Coefficients={4,8}
But i don't know the relationship.
At 11:30 a.m. the bottle is 1/4 of the way full. At what
time will the bottle be 1/2 full?
o 11:31 a.m.
11:35 a.m.
O 11:40 a.m.
1:00 p.m.
It’s B: 11:35 a.m.
Answer:
B. 11:35 am
Step-by-step explanation:
11:30 a.m. the bottle is 1/4 of the way full.
At what time will the bottle be 1/2 full?
Time required = 1/4 ÷ 1/2
= 0.25/0.5
= 0.5 minutes
Total time required for the bottle be 1/2 full
= 11:30 am + 0.5 minutes
= 11:35 am
B: 11:35 a.m
Answer:
A The bottle was 1/2 full at 11:35 a.m. and doubled again after 5 minutes.
B The bottle was 1/4 full at 11:30 a.m. and doubled twice after 10 minutes.
D Exponential growth involves a constant multiplicative rate of change.
Step-by-step explanation:
Edge 2021
