The distance from the tree house that the ball strike the ground is 10feet
Equation of a parabolaGiven the path of the ball expressed by the parabola equation:
y = -2x^2+14x +60
The point where the ball strikes the ground is the point where y = 0. Substitute into the equation to have:
-2x^2+14x +60 = 0
x^2 - 7x - 30 = 0
Factorize the result
x^2 - 10x + 3x - 30 = 0
x(x-10)+3(x-10) = 0
x - 10 =0
x = 10
Hence the distance from the tree house that the ball strike the ground is 10feet
Learn more on function here: https://brainly.com/question/25638609
plss help :))))))))))))))))))))))))))))))))))))))))))))))))))0
Step-by-step explanation:
Diameter is 18
So radius will be d/2 which is 9
As the formula of area is
[tex] \pi{\r}^{2} [/tex]
So put the vales
We get s
254
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
The diagnoal of a tv is 26 inches long . assuming that this diagonal forms a pair of 30 -60 - 90 right triangles , what are the exact length and width of the tv?
GIVING BRAINLIEST + STARS
I know A to B is 20m/s but what is C to D?
Answer:
See below ↓↓
Step-by-step explanation:
A to B
Avg. speed = Distance covered / Time takenAvg. speed = 200 m / 10 sAvg. speed = 20 m/sC to D
Avg. speed = Distance covered / Time takenAvg. speed = (500 - 200) m / (60 - 30) sAvg. speed = 300 m / 30 sAvg. speed = 10 m/sFind the area of the parallelogram. of 6 m 10 m
Answer:
60m
Step-by-step explanation:
The formula for the area of a parallelogram is base x height.
b x h
6m x 10m = 60m
Write an equation in standard form of the hyperbola described.
Vertex (10, 0); focus (-26, 0); center (0,0)
Check the picture below, so the hyperbola looks more or less like the one below, let's find the conjugate axis or namely the "b" component.
[tex]\textit{hyperbolas, horizontal traverse axis } \\\\ \cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\begin{cases} h=0\\ k=0\\ a=10\\ c=26 \end{cases}\implies \cfrac{(x-0)^2}{10^2}-\cfrac{(y-0)^2}{b^2} \\\\\\ c^2=a^2+b^2\implies 26^2=10^2+b^2\implies 676=100+b^2\implies \underline{576=b^2} \\\\\\ \cfrac{(x-0)^2}{10^2}-\cfrac{(y-0)^2}{576}\implies \boxed{\cfrac{x^2}{100}-\cfrac{y^2}{576}}[/tex]
100 POINTS AND BRAINLIEST. I need help ASAP.
Screenshots Below.
Consider the table of values for functions f(x) and g(x).
x f(x) g(x)
−2 14 4
−1 12 1
0 1 0
1 2 1
2 4 4
3 8 9
4 16 16
Which statements are most likely true based on the given values?
Select each correct answer.
f(x) is a polynomial function.
f(x) is an exponential function.
g(x) is a polynomial function.
g(x) is an exponential function.
The output values of g(x) will remain greater than those of f(x) as the input values continue to increase.
The output values of f(x) will surpass those of g(x) as the input values continue to increase.
Answer:
Step-by-step explanation:
First what we must do is rewrite the table to find a solution:
0.25^x −0.75x+1
64 3.25
16 2.5
4 1.75
1 1
0.25 0.25
0.0625 −0.5
0.015625 −1.25
We see where the values of the function are the same:
x = 0 (1)
x = 1 (0.25)
answer:
x = 0
x = 1
Answers:
f( x ) is an exponential function.g( x ) is a polynomial function.The output values of f( x ) will surpass those of g( x ) as the input values continue to increase.julia help the teacher clean the tables in the classroom she notices that 1/4 of the tables are blue and 3/4 of the table are red. there are 8 tables in all how many are red?
The fraction illustrates that there are 6 red tables.
How to calculate the fraction?Fron the information, Julia helps the teacher clean the tables in the classroom she notices that 1/4 of the tables are blue and 3/4 of the table are red.
Therefore, the numbers that are red will be:
= Fraction of red × Total number
= 3/4 × 8
= 6
Therefore there are 6 red tables.
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The following figure shows a cube. Which expression represents the surface area of the cube?
Answer:
6 ⋅ 16
This is the sum of the areas of the 6 square faces.
The surface area of the cube in the figure given is 96 squared units
What is surface area of a cube?The surface area of a cube is calculated by finding the total area of all six faces. Since all sides of a cube are equal in length, you can use the formula:
Surface area of a cube = 6 × (side length)²
In other words, you square the length of one side of the cube and then multiply it by 6 to get the total surface area.
Let's say the side length of the cube is "s," then the formula becomes:
Surface area of a cube = 6 × s²
In the question given, we can calculate the surface area of this cube as;
Surface area = 6 * s²
s = 4
Surface area = 6 * 4²
Surface area = 6 * 16 = 96 unit²
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The difference between two positive integers is2. If the smaller is added to the square of the larger the sum is 40. Find the integers
Answer:
4 and 6
Step-by-step explanation:
first you must write your let statements
let x = smaller integer
let y = bigger integer
y - x = 2
x + y^2 = 40
then you use substition to find your anaswer
x = y - 2
y - 2 + y^2 = 40
y^2 + y - 42 = 0
then find the numbers that add up to 1 and multiply to -42
-6 and 7
y^2 + 7y - 6y - 42
y(y + 7) - 6(y + 7)
(y - 6)(y + 7)
set both sides equal to 0
y = 6, -7
y must be positive so it is 6
then plug y into one of the equations to get your answer
6 - x = 2
x = 4
your answer is 4 and 6
A quadratic equation is shown below. x^2 – 16x + 50 = 0 Which of the following is an equivalent form of the above equation? (x - 1612 114 (x - 5)2 = 14 (x - 82 = 114 o O (r = 16)2 = 14
Answer:
Step-by-step explanation:
( a ± b )² = a² ± 2ab + b²
~~~~~~~~~
x² - 16x + 50 = 0
( x² - 2(x)(8) + 64 ) - 64 + 50 = 0
( x - 8 )² - 14 = 0
( x - 8 )² = 14
Answer:
(x-8)^2=14
:)
Step-by-step explanation:
What is 594 minus 236?
Answer:
358
Step-by-step explanation:
can someone please help me solve this? thank you!
Find the circumference:
Circumference = pi x radius x 2 = 138.16 feet
Linear travel = circumference x rotations
linear travel = 138.16 x 20 = 2.763.2 feet.
Round off to 2,763 feet
How many ounces are in 4 pounds?
4 ounces
56 ounces
64 ounces
72 ounces
Answer:
64
Step-by-step explanation:
16 ounces per pound
16 x 4
What is the slope of a line parallel to the line with equation 5x−2y=11?
−112
−52
−25
52
Answer: 52
Step-by-step explanation: Using the slope-intercept form, the slope is 52 . All lines that are parallel to y=5x2−112 y = 5 x 2 - 11 2 have the same slope of 52 .
PLEASE HELP PLEASE PLEASE HELP
Answer:
5x10x9 Is the correct answer meaning that the answer is 450
Brainliest would be very appriciated
Step-by-step explanation:
EDIT: my bad i read the question wrong, the answer is D:450
sorry for any confusion ;^;
what is difntion of tautology?
Explain how stroke is caused by substance abuse
Answer:
Cocaine, methamphetamines, and other stimulants can cause stroke in two ways. To begin with, stimulant drugs increase blood pressure. These drugs also have a direct effect on the vessel walls, and the extra pressure can cause them to rupture and leak blood into the brain. This is known as a hemorrhagic stroke.
Step-by-step explanation:
A store pays 6% commission on the first $500 in sales and 8% on sales over $500 find the commission on an $800 sale
Answer:
Step-by-step explanation:
Multiplying the sales amount of 500$ and the commision rate of 6% results to
500(0.06)
=30.
The equation shown below is true for which value of x? 5(x + 2) - 3(x - 6) = 7x
Answer:
x= 28/5 or 5.6
Step-by-step explanation:
5(x+2)−3(x−6)=7x
5(x+2)−3(x−6)=7x
Simplify both sides of the equation.
5(x+2)−3(x−6)=7x
(5)(x)+(5)(2)+(−3)(x)+(−3)(−6)=7x <--(Distribute)
5x+10+−3x+18=7x
(5x+−3x)+(10+18)=7x <--(Combine Like Terms)
2x+28=7x
2x+28=7x
Subtract 7x from both sides.
2x+28−7x=7x−7x
−5x+28=0
Subtract 28 from both sides.
−5x+28−28=0−28
−5x=−28
Divide both sides by -5.
[tex]\frac{-5x}{-5} \frac{-28}{-5\\} \\[/tex]
x= 28/5
Answer:
x= 28/5
or
5.6
hope this helps!
Identify the quotient in the form of a + bi.
1 + 6 divided by
−3 + 2i
The quotient of the expression in form of a + bi is 9/13 - 20/13i
Rationalizing complex expressionsGiven the following expressions
1+6i/-3+2i
Rationalizing the given rational complex number, we will have;
= 1+6i/-3+2i * -3-2i/-3-2i
= (1+6i)(-3-2i)/9+4
= -3-2i-18i-12i²/13
Simplify the result to have:
= -3+12-20i/13
= 9-20i/13
Express in the form a + bi
9/13 - 20/13i
Hence the quotient of the expression in form of a + bi is 9/13 - 20/13i
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Find the slope of the line passing through the points (7, -3) and (3, -7)
Answer
The slope is (2,4) and (1,2)
Step-by-step explanation:
If F(x) and f-1(x) are inverse functions of each other and f(x) = 2x+5, what is f-1( 8) ?
O -1
O 3/2
O 41/8
O23
Answer:
the answer is 3/2........
Brainliest?! :]
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Answer:
Slope of parallel line:[tex]-1\frac{3}{5}[/tex]
Slope of perpendicular line: [tex]\frac{5}{8}[/tex]
Step-by-step explanation:
Because parallel lines have equal gradients, but perpendicular lines have gradients which equal to -1 when multiplied.
Hope it helps:)
Answer:
Slope of parallel line:[tex]-1\frac{3}{5}[/tex]
Slope of perpendicular line: [tex]\frac{5}{8}[/tex]
An amusement park charges an admission fee of 30 dollars for each person. Let c be the cost (in dollars) of admission for p people. Write an equation relating c to p. Then use this equation to find the cost of admission for 15 people.
c=30p
$450
Step-by-step explanation:Setting up an equation lets us solve this question quickly. It also lets us create a relationship that can be used to find the cost of admission for any number of people.
Writing the Equation
As stated in the question, c will represent the total cost and p will represent the number of people admitted. Additionally, 30 will be the coefficient because it represents the cost per person. The variable p will take on the coefficient because it is the independent variable. Remember that the independent variable is the one that you can control. On the other hand, c is the dependent variable because it depends on the p variable.
This creates the equation C=30pSolving the Equation
To solve the equation for 15 people, plug 15 in for p.
C=30(15)Then, multiply out to solve
C=$450Hello I need a little here with this
A student wants to interview students about their favorite sport. The students asks 50 people who play a sport for the school. Is this an example of a random sample or a biased sample?
A
Random sample
B
Biased sample
Answer:
Random
Step-by-step explanation:
For some particular website, the password must start
with the letter X. Then there must be 4 more charters, and each of those characters may be a
numeric digit or a letter of the alphabet. How many different passwords are possible?
Answer:
Step-by-step explanation:
I take it you are not allowed to mix cases. There are 26 lower case letters (a b c d e f...) to the alphabet and 0 to 9 (which is 1 of 10 choices). The total number of starting choices is
x 36 * 35*34 * 33 = 1413720 possible passwords.
MAX POINTS help me
The amplitude of this graph is 3 the maximum is 4 the minimum is -2 the period is 4 and the midline is 1 how would the function be written?
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
The required equation is :
[tex]\qquad \sf \dashrightarrow \:a \sin(bx) + c[/tex]
Now, let's find the required values :
period (p) = 4
[distance between any successive Crest or trough]
a = - 3 (flipped)
b = 2π/p = 2π/4 = π/2
k = 1
Distance of starting position from origin = k
Now, plug in the values ~
[tex]\qquad \sf \dashrightarrow \: - 3 \sin( \frac{ \pi}{2}x ) + 1[/tex]
General equation:-
Asin(bx)+cSo
Amplitude=A=-3Min=-2 ,max=4
Hence
b=|(mn)|π/mxb=|-2|π/4b=2π/4b=π/2midline =c=1
So plugin the values
y=-3sin(π/2x)+1Use the distributive property to write an expression that is equivalent to the expression below. 5(2x+7)
[tex]10x+35[/tex]
Solution:Use the distributive property to simplify.The distributive property states the following:x(y+z)=xy+xz (x times y plus x times z)Now, simplify:[tex]5(2x+7)[/tex][tex]10x+35[/tex]I multiplied 5 times 2x and 5 times 35.Is [tex]10x+35[/tex] the final answer? Yes, we cannot simplify it anymore, because 10x and 35 are not like terms.Hope it helps.
Do comment if you have any query.
how do i solve this?
Answer:
33
Step-by-step explanation:
to solve for each triangle remember its 1/2 base times height you have four of those so add those four sides to the area of the square.
key concept: 1/2(Base*Height)