Answer:
Width=3 cm
Length=5 cm
An object was dropped off the top of a building. The function f(x)=-16x^2+144f(x)=−16x 2 +144 represents the height of the object above the ground, in feet, xx seconds after being dropped. Find and interpret the given function values and determine an appropriate domain for the function.
Answer:
Step-by-step explanation:
Given the height at which an ogject dropped modelled by the function f(x)=-16x^2+144
The height of the body on the ground occurs at when f(x) = 0
0 =-16x^2+144
16x^2 = 144
x^2 = 144/16
x^2 = 9
x = 3
The ball reached the ground after 3 secs
The domain of a function is the input function that will make the function exist. Based on the function given, the function can exist on all given input value of x. Hence the domain of the function will be;
Domain =(-\infty, infty)
The domain of the function is required.
The domain of the function is the set of real numbers
[tex]x\in(-\infty,\infty)[/tex]
The function is
[tex]f(x)=-16x^2+144[/tex]
The y intercept of the function is
[tex]y=-16\times 0+144\\\Rightarrow y=144[/tex]
[tex](0,144)[/tex]
The y intercept is the maximum height here.
The x intercepts are the points where the object is on the ground.
They are
[tex]0=-16x^2+144\\\Rightarrow 16x^2=144\\\Rightarrow x=\pm\sqrt{\dfrac{144}{16}}\\\Rightarrow x=\pm3[/tex]
[tex](3,0),(-3,0)[/tex]
The domain of the function is the set of real numbers
[tex]x\in(-\infty,\infty)[/tex]
The graph of the figure is attached.
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Michael averages 5 three-pointers in his first 4 basketball games. How many does he need to score at his 5th game in order to bring his average to 6 three-pointers per game?
Answer:
10
Step-by-step explanation:
The easiest way to understand this is not the shortest way.
Give Michael 4 fives and then add an x.
5 + 5 + 5 + 5 + x
Now divide by 5 and equate that to 6
(5 + 5 + 5 + 5 + x)/5 = 6
Combine the left side
(20 + x)/5 = 6
Multiply by 5
(20 + x) = 6*5
20 + x = 30
Subtract 20 from both sides
x = 30 - 20
x = 10
He needs 10 three - pointers to average 6
I need help with this question.
Answer:
[tex]\displaystyle S_{27}=675[/tex]
Step-by-step explanation:
The sum of N consecutive natural numbers is given by:
[tex]\displaystyle S_N=\frac{N}{2}(F+L)[/tex]
We need to find the sum of the natural numbers between 12 to 38.
To calculate the required sum we have F=12, L=38, but we don't have the value of N.
From 12 to 38 there are 38 - 12 + 1 = 27 natural consecutive numbers, thus N=27.
Substituting in the formula:
[tex]\displaystyle S_{27}=\frac{27}{2}(12+38)[/tex]
[tex]\displaystyle S_{27}=\frac{27}{2}(50)[/tex]
[tex]\displaystyle S_{27}=27*25[/tex]
[tex]\mathbf{\displaystyle S_{27}=675}[/tex]
what is the answer to this?
Answer:
AA
Step-by-step explanation:
The smaller triangle and the bigger triangle have the same angle of 60 on one side.
They also have a common point at the top, which is also called a common angle.
You only need two angles to show that two triangles are similar, because the other angle has to be the same because all angles in a triangle add up to 180.
Two lines, R and M, are represented by the following equations:
Line R: 2x + 2y = 18
Line M: x + y = 9
Which statement is true about the solution to the set of equations? (4 points)
a
It is (18, 9).
b
It is (9, 18).
c
There are infinitely many solutions.
d
There is no solution.
please help , picture above!
Answer:
The Slope of the hypotenuse of triangle ABC is equal to the slope of the hypotenuse of triangle CDE
Step-by-step explanation:
AE is a continuous line with consistent slope.
AC is a segment of this line and is the hypotenuse of triangle ABC.
CE is also a segment of AE and is the hypotenuse of triangle CDE.
Hope this helps.
Given the following information, write the linear equation in slope-intercept form.
3. slope = 1/3; y-intercept = -1
4. slope = 2/5; y-intercept = 0
5. slope = -1; y-intercept = 4
Answer:
3) y = 1/3x - 1
4) y = 2/5x + 0 or just y = 2/5x
5) y = -1x +4
Step-by-step explanation:
because i aint never seen two pretty best friends, its always one of em gotta be ugly
Simplify the expression by adding or subtracting the linear expressions. 10x + 5 + 5x + 10 *
15x + 15
10x + 15
5x + 10
20x + 5
Which of these is a consumable good?
O Clothing
O Cell phone
O Automobile
O Food
Answer:
Food
Step-by-step explanation:
Answer:
food
Step-by-step explanation:
2089+2089? HHHHHEEELLLLPPP PLZ first to answer get brainlyset
Answer:
4178
Step-by-step explanation:
Answer:
4178
Step-by-step explanation:
THANK YOU SO MUCH I NEEDED POINTS Brainliest please!!!!
2) If x+y=6 and xy=5 find x-y?
Answer:
x - y = ± 4Step-by-step explanation:
Given
x + y = 6 and xy = 5To find
x - ySolution
(x - y)² = (x + y)² - 4xy = 6² - 4*5 = 36 - 20 = 16 = 4²(x - y)² = 4²x - y = ± 4F (x) = 3x^2 vertex __________ axis __________ x-int __________ y-int __________ max/min _________ value __________ domain __________ range _________
Answer:
F(x) = 3·x² vertex (0, 0) axis x = 0 x-int (0, 0) y-int (0, 0) min minimum value (0, 0) domain (x ∈ R) range (f(x) ∈ R+)
Step-by-step explanation:
The given function is f(x) = 3·x²
The given parabola in vertex form y = a(x - h)² + k
Where;
(h, k) = The vertex
By comparison, we have;
h = 0
k - 0
Therefore;
1) The vertex = (0, 0)
2) The axis of symmetry = The line x = 0
3) The x-intercept = The vertex = (0, 0)
4) The y-intercept = The vertex = (0, 0)
5) The minimum value = The vertex = (0, 0)
6) The domain = All real numbers (x ∈ R)
7) The range = All positive real numbers including 0 (f(x) ∈ R+)
when this polynomial is divided by (m+1), the remainder is 0. What is the value of the polynomial’s constant term?
Answer: it would be -4
Step-by-step explanation:
I got it right one the mastery test
Answer: -4
Step-by-step explanation:
Answer PLEASE ASAP
question on the image.
Answer:
The answer is DF
Step-by-step explanation:
The opposite side is 4 or EF, so the ADJACENT side would be 3 or DF according to SOH CAH TOA.
HELP
1.75^-0.5
(3/2)^2.4
Answer:
first off i just want to say i hate aleks but ill still give the answer
Step-by-step explanation:
1.75^-0.5 = 0.75592894
3/2^2.4 = 2.6461778
What is the Mean Absolute Deviation of the following data set: 25 15 20 17 22 28 27
Answer:
4
Step-by-step explanation:
Hope this helps!
danny tosses a ball into the air. it's height, as a function of time , is modeled by y=-16x2+9x+4
which statement best describes the function ?
((this is for a text so please don’t guess))
Answer:
The function is non linear.
Step-by-step explanation:
Answer:
The function is nonlinear
Step-by-step explanation:
I got it wrong when i guessed something else
△DEF≅△LMN
What is the value of x?
What is the value of y?
What is the measure of angle L?
What is the measure segment EF?
Answer:
If you can pin the picture of the triangles to the comments here I would be very happy to help you!
The table shows a relationship between x-and y- values which statement describes the pattern created by the values ?
Answer:
3rd one
Step-by-step explanation:
The correct pattern created by the values is,
⇒ Each value of y is determined by adding 4 to each x - values, so the pattern is additive.
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
We have to given that;
The table shows a relationship between x-and y- values.
Now, We have;
x = 2, 4, 6, 8
y = 6, 8, 10, 12
⇒ 2 + 4 = 6
⇒ 4 + 4 = 8
⇒ 6 + 4 = 10
⇒ 8 + 4 = 12
Clearly, Each value of y is determined by adding 4 to each x - values.
Hence, The pattern is additive.
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Ericka observed the total variation in the water level over 6.2 years to be −13.64 mm. She compared this to the average annual trend, which shows the water level rising 1.8 mm/year. Remember, she used 6.2 years as her time period. What is the difference between how much average water levels rose and how much the water level fell in the part of the river she observed?
Answer:
3.96mm/year
Step-by-step explanation:
Given that :
Given that:
Observed variation in water level over 6.2 years = - 13.64mm
Average annual trend shows rise in water level at 1.8 mm / year
difference between how much average water levels rose and how much the water level fell in the part of the river she observed?
Average Yearly observed variation :
Observed variation / number of years
-13.64mm / 6.2 years
= - 2.16 mm
Hence, observed yearly fall = - 2.16 mm
Yearly rise = 1.8mm / year
Difference :
( 1.8 mm/year) - (-2.16mm / year)
= (1.8 + 2.16) mm/year
= 3.96 mm/year
Answer:
24.8 millimeters
Step-by-step explanation:
what is 4y³ - 3z⁴ when y=3 and z=2 =
Answer:
60Step-by-step explanation:
4(y)3 - 3(z)4
Sub:- 4(3)raise to three - 3(2)raise to four
4(27)-3(16)
4*27-3*16
108-48
=60.
CORRECT ANSWER= BRAINLIEST
A right triangle has legs that measure 7 meters and 16 meters. What is the length of its hypotenuse to the nearest whole
number?
14 meters
16 meters
17 meters
18 meters
Answer:
17 meters
Step-by-step explanation:
I did 16^2 and 7^2 to get, 256 + 49 = 305. 305 squared is 17.4... Once you round it you should get the answer 17 meters.
Hope this helps :)
Answer:
The answer is 17 meter
Step-by-step explanation:
So the formula for this is a^2 + b^2 = c^
The two legs are a and b
So plug those into the equation
It should look something like this 7^2 + 16^2 = c^2
Then solve the exponents and you get 49 + 256 = c^2
After that just add the two integers and you have 305
Finally take the square root of 305 and you get 17
pls mark brainliest because i didnt waste your time Lol
Two planes travel at a constant speed which plane a travels 2000 and 800 miles in five hours Plan B travels 3885 miles in seven hours which plane is faster
Answer:
Since its speed is higher, plane 1 is faster than plane 2.
Step-by-step explanation:
Comparing Speeds
The formula for the speed of an object who travels a distance d in a time t is:
[tex]\displaystyle v=\frac{d}{t}[/tex]
We have to compare the speeds of the two planes:
The first plane travels d1=2800 miles in t1=5 hours
The second plane travels d2=3885 miles in t2= 7 hours
Calculate both speeds as follows:
[tex]\displaystyle v_1=\frac{d_1}{t_1}[/tex]
[tex]\displaystyle v_1=\frac{2800}{5}[/tex]
[tex]v_1=560\ mi/h[/tex]
[tex]\displaystyle v_2=\frac{d_2}{t_2}[/tex]
[tex]\displaystyle v_2=\frac{3885}{7}[/tex]
[tex]v_2=555\ mi/h[/tex]
Since its speed is higher, plane 1 is faster than plane 2.
an initial amount of $55,000 is invested in an account with interest compounded continuously the interest rate is 10% find the value of the account after 14 years
2x+5y=-62x+5y=−6 Determine the intercepts of the line
Answer:
(0,-6/5)
(X,Y)
Step-by-step explanation: MARK BRAINLIEST
Answer:
(-3,0) (0,-1.2)
Step-by-step explanation:
A projectile is thrown upward so that it's distance above the ground after t seconds is h=-16t^2+480t. After how many seconds does it reach its maximum height?
Answer:
t = 15 s
Step-by-step explanation:
A projectile is thrown upward so that it's distance above the ground after t seconds is as follows :
[tex]h=-16t^2+480t[/tex] ...(1)
We need to find after how many seconds does it reach its maximum height. For maximum height, put [tex]\dfrac{dh}{dt}=0[/tex]
[tex]\dfrac{d(-16t^2+480t)}{dt}=0\\\\-32t+480=0\\\\t=\dfrac{480}{32}\\\\t=15\ s[/tex]
So, it will reach its maximum height in 15 seconds.
Pat’s Painting Company charges a $125 painting fee, plus $17.50 per hour. Write and solve an equation to determine how many hours the company worked if they were paid $221.25 for one job.
Answer:
5.728 hours
Step-by-step explanation:
$225.25 - $125 =
$100.25
$100.25/ $17.50 =
5.728 hours
Answer:
Step-by-step explanation:
Let x be the number of hours worked
17.5x + 125 = 221.24
17.5x = 221.25 - 125
17.5x = 96.25
x = 96.25/17.5
x = 5.5 hours
Solve 5.4p+13.1=−2.6p+3.5 . Check your solution.
p= __
5.4p +13.1 = −2.6p+3.5 .
5.4p + 2.6p = 3.5 -13.1
8.0p = -9.6
p = -9.6 / 8
p = -1.2
A recipe states that 5 servings of peanuts have 1,250 calories. How many servings is 375 calories of peanuts? *
Answer:
500 calories
Step-by-step explanation:
divide the 1250 calories by the initial five servings and you get 250 then multiply that by the 2 servings they are asking for and you get 500 calories
which value is equivalent to 3^2+5x2-8