Answer:
answer: The formula is
(Y2-y1) /(x2-x1)
(3-1)/(5-2)
2/3
Step-by-step explanation:
Have a good day;-)
Angles in a triangle
Answer
1=62
2=45
3=24
Angle 1
1 plus 118 equals 180 degrees (because both of the angles combined creates a straight angle).
1+118=180
180-118=1
1=62
Angle 2
The angles in a triangle add up to 180 degrees.
You know that angle 1 is 62 degrees.
And the other angle is 73 degrees.
You can now find angle 2.
62+73+2=180
2=180-62-73
2=45
Angle 3
Angle three is in a different triangle.
You already know that the angles in a triangle added up are 180 degrees.
The other missing angle in the triangle can be found by subtracting 73 from 180.
180-73=107
Now you know that two of the angles in the triangle are 107 and 49.
You can now find angle 3.
107+49+3=180
3=180-107-49
3=24
plz help due in 10 min
Answer:
the answer is A <_______________^______________
The total number of seats in an auditorium is modeled by the function
f(x) = 2x2 - 6x, where x represents the number of rows of seats.
How many rows are there in the auditorium if it has a total of 416 seats?
A person standing close to the edge on top of a 72-foot building throws a ball vertically upward. The
quadratic function h = - 16ť+ 136t + 72 models the ball's height about the ground, h, in feet, t seconds after it was thrown.
a) What is the maximum height of the ball?
feet
b) How many seconds does it take until the ball hits the ground?
seconds
Answer:
I hope this helps.
Step-by-step explanation:
h(t) = -16t2 + 108t + 28
(a)
Maximum height occurs at the vertex of the height-vs.-time parabola, which is at
t = -108/[2(-16)] sec = ? sec
Evaluate h(t) at this value of t to get hmax.
(b)
Set h(t) = 0 and solve the quadratic equation for t. You will get a positive and a negative solution. Discard the negative solution, since time starts at t = 0.
The quadratic function, h = -16t + 136t + 72, gives us:
a) The maximum height of the ball is 360 feet.
b) The time taken by the ball to hit the ground is 9 seconds.
What is a quadratic function?A quadratic function is a function over a quadratic expression, that is, over an expression having degree 2.
How to solve the question?In the question, we are informed that a person standing close to the edge of a 72-foot building throws a ball vertically upward. The quadratic function h = -16t² + 136t + 72 models the ball's height above the ground, h in feet, t seconds after it was thrown.
We solve the following:-
a) What is the maximum height of the ball?
The maximum height of the ball can be obtained by differentiating the given quadratic function, h = -16t² + 136t + 72.
Differentiating both sides. we get:
[tex]\frac{\delta h}{\delta t} = -32t + 136[/tex] .
To get point of inflection, we equate this to 0, to get:
[tex]\frac{\delta h}{\delta t} = -32t + 136 = 0[/tex],
or, -32t + 136 = 0,
or, t = 136/32 = 4.5.
To check whether the value of h is maximum/minimum at t = 4.5, we differentiate [tex]\frac{\delta h}{\delta t} = -32t + 136[/tex] again, to get:
[tex]\frac{\delta^{2} h}{\delta t^{2} } = -32[/tex] , which is < 0, which that implies, h is maximum at t = 4.5.
Now, we calculate the maximum height, by putting in t = 4.5, in the equation, to get:
h = -16(4.5)² + 136(4.5) + 72,
or, h = -16(20.25) + 612 + 72,
or, h = -324 + 684 = 360.
Therefore, The maximum height of the ball is 360 feet.
b) How many seconds does it take until the ball hits the ground?
The time taken can be calculated by putting the value of h = 0, and solving the quadratic function h = -16t² + 136t + 72, as the height of the ball at the ground is 0.
Therefore, it can be written as:
0 = -16t² + 136t + 72.
or, 16t² - 136t - 72 = 0.
Solving this using the quadratic equation, we get:
[tex]t = \frac{-(-136)\pm \sqrt{(-136)^{2} - 4(16)(-72)}}{2(16)}[/tex] ,
or, [tex]t = \frac{136\pm \sqrt{18496 + 4608}}{32}[/tex] ,
or, [tex]t = \frac{136\pm \sqrt{23104}}{32}[/tex] ,
or, [tex]t = \frac{136\pm 52}{32}[/tex]
Therefore, either t = (136+152)/32 = 9,
or, t (136 - 152)/32 = -0.5.
Since t represents time, we won't take the negative value, and hence t = 9.
Therefore, The time taken by the ball to hit the ground is 9 seconds.
Learn more about quadratic equations at
https://brainly.com/question/15340389
#SPJ2
solve the equation 1/2x+7=18
Answer: 22
Step-by-step explanation:
Solve for x
1/2x + 7 = 18
Combine 1/2 and x.
x/2+ 7 = 18
Move all terms not containing x to the right side of the equation.
Subtract 7 from both sides of the equation.
x/2= 18 − 7
x/2 = 11
Multiply both sides of the equation by 2.
2 ⋅ x/2 = 2 ⋅ 11
Simplify both sides of the equation.
Cancel the common factor of 2.
x = 2 ⋅ 11
Multiply 2 by 11.
x = 22
34 is 68% of what number?
Order the values from least to greatest
Answer:
option d
Step-by-step explanation:
6-,|-2|,|-4|,5,|9|
Answer:
-6,-4,-2,5,9 =a
the answer is a
A +3178 equals 6000 evaluate
Answer:
A=2822
Step-by-step explanation:
A+3178=6000
A=6000-3178
A=2822
Find the slope of a line parallel to the line through the points. ises 11.3. omplete the following: (c) (10, 6) and (10, 10)
Answer:
cv vfgvbgfgvd
Step-by-step explanation:
Events A and B are dependent. Find the missing probability.
P(A) = 0.6
P(B\A) = 0.2
P(A and B) = ???
Answer:
P(A and B) = 0.12
Step-by-step explanation:
Conditional Probability
Is a measure of the probability of the occurrence of an event, given that another event has already occurred. If event A has occurred, then the probability that event B occurs is given by:
[tex]{\displaystyle P(B\mid A)={\frac {P(B\cap A)}{P(A)}}}[/tex]
Where [tex]P(B\cap A)[/tex] is the probability that both events occur and P(A) is the probability that A occurs.
We are given P(A)=0.6, P(B\mid A)=0.2, and it's required to find P(B\cap A). Solving for the required variable:
[tex]P(B\cap A)=P(B\mid A)*P(A)[/tex]
[tex]P(B\cap A)=0.2*0.6=0.12[/tex]
P(A and B) = 0.12
I will give brainliest please help
Answer:
2.5
Step-by-step explanation:
[tex] \frac{u}{11} = \frac{3}{13} \\ \\ u = \frac{3 \times 11}{13} \\ \\ \\ \\ u = \frac{33}{13} \\ \\ u = 2.53846154 \\ \\ u \approx2.5[/tex]
(3x + 4) (1 - 1)
Evaluate the limit lim
a.-3
b. 3
c. 1
d limit does not exist
3x = 9x^2 - 10
solve quadratic formula
Answer:
Step-by-step explanation:
9x²-3x-10=0
[tex]x=\frac{3\pm \sqrt{(-3)^2-4*9*(-10)} }{2*9} \\=\frac{3\pm\sqrt{9+360} }{18} \\=\frac{3 \pm3\sqrt{41} }{18} \\or~x=\frac{1\pm\sqrt{41} }{6}[/tex]
A wire is (7x – 3) meters long. A length of (3x – 4) meters is cut for use(a) How much wire is left?
Answer:
The amount of wire left is 4x + 1
Step-by-step explanation:
Initially, the wire is (7x - 3) meters long.
A length of (3x - 4) meters is cut.
How much wire is left?
Initial amount subtracted by the amount that is cut. So
(7x - 3) - (3x - 4) = 7x - 3 - 3x + 4
We combine the like terms
7x - 3x - 3 + 4 = 4x + 1
The amount of wire left is 4x + 1
Please need it in 5 mins
Answer:
70,110,110,110
Step-by-step explanation:
I'm Asian and I was less than 5 minutes
Melkon travels 8/11 miles to the grocery store. Tamar travels 12 miles to the grocery store. Write the ratio of the distance Tamar travels to the distance Melkon travels as a fraction in simplest form. Write the ratio of the distance Melkon travels to the distance Tamar travels as a fraction in simplest form.
Answer: 33/2 and 96/11.
Step-by-step explanation:
The ratio of the distance Tamar travels to the distance Melkon travels:
[tex]\dfrac{12}{\frac{8}{11} } =\dfrac{12 \cdot 11}{8} =\dfrac{132}{8} =\dfrac{33 \cdot 4}{2 \cdot 4} =\dfrac{33}{2}[/tex]
The ratio of the distance Melkon travels to the distance Tamar travels:
[tex]\dfrac{\frac{8}{11} }{12} =\dfrac{8 \cdot 12}{11} =\dfrac{96}{11}[/tex]
please please please help
Answer:
I have no clue what part B is asking because I can't read it, but here is part A!
AB/PQ = 2/3
AC/PR = 2/3
BC/QR = 2/3
Step-by-step explanation:
Since it says that the tiangles are similar, then it means that AB=PQ, AC=PR, BC=QR.
So, AB/PQ = 6/9 = 2/3
And, AC/PR = 8/12 = 2/3
Also, BC/QR = 10/15 = 2/3
3x + 1 = -2 (solve for x)
Answer:
x = -1
Step-by-step explanation:
3x + 1 = -2
Subtract 1 from both sides.
3x = -2 - 1
Simplify -2 - 1 to 3.
3x = -3
Divide both sides by 3.
x = -1
Jody is buying a scrapbook and sheets of designer paper. She has $40 and needs at least $19.00 to
buy the scrapbook. Each sheet of paper costs $3.00. How many sheets of paper can she buy?
Answer:
7 sheets of paper
Step-by-step explanation:
$40-$19=$21
$21/$3=7 sheets of paper.
In words:
I did 40 minus 19 to get 21, and the divided 21 by 3 to get 7 sheets of paper.
Which type of heat transfer causes air movement between land and ocean?
Answer:
Energy is transferred between the Earth's surface and the atmosphere in a variety of ways, including radiation, conduction, and convection. Conduction is one of the three main ways that heat energy moves from place to place.
Step-by-step explanation:
need help asap please
Answer:
[tex]\displaystyle 73[/tex]
Step-by-step explanation:
According to this model, both pairs of angles are congruent, therefore the long leg [ED] is ALSO congruent to GD.
I am joyous to assist you at any time.
I need help with this one
Answer:
Yes they are similar
Step-by-step explanation:
They have the same measurements adding up to 180.
Triangle RST angles are 120, 20, and 40
Triangle JKL angles are 120, 40, 20
Those are the same numbers.
The athletic departments at 10 randomly selected U.S. universities were asked by the Equal Employment Opportunity Commission to state what percentage of their nursing scholarships were presently held by women. The responses were 5, 4, 2, 1, 1, 2, 10, 2, 3, 5.
Required:
Find the mean, median, mode, and geometric mean. Which is the most appropriate measure of central tendency? The least appropriate? Explain your answer. Is there an outlier?
Answer: Mean = 3.5 , median = 2.5, mode = 2, geometric mean = 2.74
Median is the most appropriate measure of central tendency.
The least appropriate = mean
Yes there is an outlier.
Step-by-step explanation:
Given responses : 5, 4, 2, 1, 1, 2, 10, 2, 3, 5.
First arrange them in increasing order, [tex]\sqrt[10]{1\times1\times2\times2\times2\times3\times4\times5\times5\times10 }\\\\=\sqrt[10]{24000} \approx2.74[/tex]
Its sum = 35
Mean of n observations = (Sum of observations) ÷ n
Mean = (35) ÷ 10
=3.5
Here n =10 (even)
Median = average of middle most numbers = [tex]\dfrac{2+3}{2}=\dfrac52=2.5[/tex]
Mode = most repeated number = 2 (thrice)
geometric mean = [tex]\sqrt[n]{x_1\times x_2\times.... x_n}[/tex]
10 is an outlier as it is very large as compare to other numbers.
When outlier is present in data , the median is the most appropriate measure of central tendency.
Mean affected badly by the outlier so it the least appropriate.
For the image above which action below allows the scale to be balanced
The price of a 7-minute phone call is $1.05. What is the price of a 19-minute phone call
Answer:
19.95
Step-by-step explanation:
if you take 1.05 times it by 19 you get your answer
Consider the graph shown.
Complete the sentence based on the graph.
The value of f(x) is -2 at x =
and the value of f (-2) =
Answer:
The value of f(x) is -2 at x = 0, and the value of f(-2) = -5.
Step-by-step explanation:
✔️The value of f(x) is -2 also means y = -2.
So, looking at the graph, the corresponding value of x when y = -2 is x = 0.
✔️The value of f(-2) is the same thing as asking what the corresponding y-value of x would be at x = -2.
From the graph, at x = -2, the corresponding y-value is -5.
What is the slope of the line? *
Answer:
slope = 1/2
Step-by-step explanation:
[tex]\frac{rise}{run}[/tex] = [tex]\frac{1}{2}[/tex]
1. Solve the system and find the solution.*
3x + 4y= 4
y = 3x - 14
solve for y.
-13=4y+3
Answer:
-13=4y+3 -3
-16=4y ÷4
-4=y
Step-by-step explanation:
hope it helps ^^
Answer:
y = -4
explenation in picture
please help i am so confused