Answer:
8
Step-by-step explanation:
50/5.95
A baseball is thrown in a parabolic arc. It's position above the ground at a given point in time can be represented by the quadratic function LaTeX: p\left(t\right)=\frac{1}{2}gt^2+v_0t+p_0p ( t ) = 1 2 g t 2 + v 0 t + p 0, where LaTeX: t\ge0t ≥ 0, LaTeX: gg is -32 ft/sec/sec, LaTeX: v_0v 0 is initial velocity, and LaTeX: p_0p 0 is its initial position above the ground. If the ball was thrown straight up at 16 ft/sec when it was 5 ft above the ground, how high did it go?
Answer:
The baseball reached 9 feet high above the ground
Step-by-step explanation:
The given quadratic function representing the position of the baseball above ground is p(t) = 1/2·g·t² + v₀·t + p₀
Where;
t ≥ 0
g = -32 ft./sec²
v₀ = The initial velocity
p₀ = The initial position
Given that when the ball is thrown, we have;
The initial, straight up, velocity, v₀ = 16 ft./sec
The initial position, p₀ = 5 ft.
Substituting the above values in the quadratic function representing the position of the baseball above ground, we have;
p(t) = 1/2·(-32)·t² + 16·t + 5 = 16·t - 16·t² + 5
At the maximum point, the rate of change of the height with time = 0, therefore;
dp(t)/dt = 0 = d(16·t - 16·t² + 5)/dt = 16 - 32·t
16 - 32·t = 0
16 = 32·t
t = 16/32 = 0.5 seconds
Therefore, the time takes to reach the maximum height = 0.5 seconds
The height (maximum) reached in 0.5 seconds is given as follows;
h(t) = 16·t - 16·t² + 5, from which we have;
h(0.5) = 16 × 0.5 - 16 × (0.5)² + 5 = 9
Therefore, the height baseball reached = 9 ft. above ground
Pls answer this 100 points pls HELP
Answer:
The answer is
N+ 1 = 3+2/2
=3
Step-by-step explanation:
The answer is 3
This is a odd number
Answer:
N + 1 = 3+ 2/2 =3
Step-by-step explanation:
I'm pretty sure is odd because it has the number three(3) and the number three (3) is odd.
Which lines are parrallel check all that apply
Answer:
b // f
c // e
Step-by-step explanation:
b // f
89.5 = 180 - 90.5
89.5 = 89.5 {corresponding angles are congruent.So b // f}
c//e
91.5 = 180 - 88.5
91.5 = 91.5 {corresponding angles are congruent.So b // f}
Is y = 9x + 1/2 proportional?
Answer:
Yes it is
Step-by-step explanation:
The equation is proportional since as the value of x is increasing, y is also increasing
Equations can either be direct, inverse, or even joint. For instance, if y is directly proportional to x, this is expressed as:
y = kx
k is the variation constant
For a proportional equation, there an increase in a variable will lead to a decrease or increase in other variables
Given the expression y = 9x + 1/2,
when x = 1
y = 9(1) + 1/2
y = 9.5
when x = 2
y = 9(2) + 1/2
y = 18.5
We can see that the equation is proportional since as the value of x is increasing, y is also increasing
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The shown quadrilateral is a rectangle. If AB is 10 what is the length of DC?
_____________________
A. 10
B.5
C.15
D.12
Answer:
sir the picture is black
Step-by-step explanation:
I rlly need this quick please and thank you
Step-by-step explanation:
2002 can be rounded to a compatible number such as 2000.
2000 / 2 = 1000.
They each received around 1000 marbles.
HELP!
Select the correct answer.
When graphed, the three lines y = -x + 2, y = 2x − 1, and y = x − 2 intersect in such a way that they form a triangle.
What are the coordinates of the three vertices of this triangle?
A.
(2, 0), (0, 2), and (-1, -3)
B.
(0, 2), (2, 0), and (1, -1)
C.
(1, 1), (2, 0), and (-1, -3)
D.
(1, 1), (0, 2), and (-1, -3)
E.
(2, 0), (1, -1), and (-1, -3)
Answer: B.
Step-by-step explanation: (0, 2), (2, 0), and (1, -1) are the correct coordinates of the three vertices of the triangle.
any help is appreciated ❤️
Understanding:
[Q4] Slope intercept form is [tex]y=mx+b[/tex], where m is slope and b is the y-intercept. We calculated the slope in the previous question which was -45. We can find b by using any point on the previous table and replacing it's x and y values, for this example, I'm going to use (0,1080).
[tex]y=mx+b\\1080=-45(0)+b\\b=1080[/tex]
Now, we can rewrite the equation as follows
[tex]y=-45x+1080[/tex]
[Q5] To find the y-intercept we simply replace every x value with a 0,
[tex]y=-45x+1080\\y=-45(0)+1080\\y=1080[/tex]
This means the y-intercept is at [tex](0,1080)[/tex].
For the x-intercept, you replace the y value with a 0 and solve for x,
[tex]y=-45x+1080\\0=-45x+1080\\-1080=-45x\\x=24[/tex]
This means the x-intercept is at [tex](24,0)[/tex].
Solutions:
[Q4] [tex]y=-45x+1080[/tex]
[Q5] x-intercept: [tex]x=24[/tex]; y-intercept: [tex]y=1080[/tex]
[Q6] The x-intercept represents the months it takes Philip to fully pay his friend for the car. The y-intercept represents the total amount Philip had to pay his friend.
A conveyor belt carries supplies from the first floor to the second floor, which is 22 feet higher. The belt makes a 60° angle with the ground. a. How long is the conveyor belt? Round your answer to the nearest foot. b. If the belt moves at 75 ft/min, how long does it take the supplies to move to the second floor? Round to the nearest tenth.
Answer:
a) 44[tex]\sqrt{3}[/tex]/3 feet
b) .3 minutes
Step-by-step explanation:
We know all three of the angles: 30 60 90. So we can divide 22 by [tex]\sqrt{3}[/tex], and then multiply that number by 2. We cannot have a radicand in the bottom, so multiply the denominator and numerator by
for b), simply divide a) by 75 ft/min, which is approximately .3 minutes.
3
What is the decimal equivalent of 3/9? (5 points)
0.2
0.3
О.4
0.5
Answer: 0.3
Step-by-step explanation: Because thats the answer
Answer:
0.3
Step-by-step explanation:
This is because, when you divide 3/9 it gives you 0.33333.. (Repeating, Irrational number) So you would round to the nearest tenths, which would give you 0.3 because the hundredths place isn't 5 or over. Hope this helps :)
A particular satellite is 10 ft wide. A
model of it was built with a scale of 1 in :
2 ft. How wide is the model?
3 ft
Step-by-step explanation:
what is y<-1/2x+1 and y≤x-2??
Question 2 helpppppppppppppp
Answer:
The absolute value of -4.5 is 4.5 so plot the point at 4.5
Step-by-step explanation:
absolute value= how far that number is from zero
-4.5 is 4.5 away from zero
so the absolute value of -4.5 is 4.5
Answer:
4.5
Step-by-step explanation:
I hope yout have a good day.
Two hikers hike two different trails for 3 days: Hiker 1: Climbs up in elevation 500 m per day Hiker 2: Goes down in elevation 500 m per day Write an equation using multiplication that represents each hiker's elevation after 3 days. Explain what each number means. What is the final elevation of each hiker?
Answer:
i. y = 3(x)
ii. This implies that: hiker 1 has an altitude of 1500 m, while hiker 2 has a depth of 1500 m with respect to the surface of the earth after the 3 days.
Step-by-step explanation:
Let assume that the horizontal surface of the earth is taken to be zero. Thus any distance moved upward is positive, and any distance moved downward is negative. As compared to a number line.
Thus, after 3 days, the equation for each hiker is;
y = 3(x)
Where y is the total distance covered after 3 days, and x is the elevation of the hiker per day.
For Hiker 1, the elevation was upwards;
y = 3(500)
= 1500 m
For Hiker 2, the elevation was downwards;
y = 3(-500)
= -1500 m
This implies that: hiker 1 has an altitude of 1500 m, while hiker 2 has a depth of 1500 m with respect to the surface of the earth after the 3 days.
If the school supply kit regularly cost $25 how much does it cost after the 20% discount
The amount of the school supply kit after the discounted price is $ 20
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the amount of the school supply kit be A
The value of A is $ 25
The percentage discount of the school supply kit = 20 %
So , the value of the percentage amount is given by the equation
The cost of the school supply kit after discount = ( amount of the school supply kit - ( percentage discount of the school supply kit x amount of the school supply kit ) )
Substituting the values in the equation , we get
The cost of the school supply kit after discount = 25 - ( 20/100 x 25 )
The cost of the school supply kit after discount = 25 - ( 25 x 0.2 )
The cost of the school supply kit after discount = 25 - 5
The cost of the school supply kit after discount = $ 20
Therefore , the discounted price is $ 20
Hence ,
The amount of the school supply kit after the discounted price is $ 20
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At 5 p.M., the temperatures recorded at two weather stations in Antarctica are -6 degrees and 2 degrees. The temperature changes at the same constant rate, x degrees per hour, throughout the night at both locations. The temperature at the first station 3 hours after this recording is the same as the temperature at the second station 4 hours after this recording.
Answer:
- 8° per hour
Step-by-step explanation:
Given that:
Station A = - 6°
Station B = 2°
Rate of temperature change = x° / hour ; which is the same at both stations
Temperature at station A 3 hours after the recording is the same as the temperature in station B 4 hours after the recording ;
Temperature change in Station A:
-6 + 3x
Temperature change in station B:
2 + 4x
Temperature change in A = temperature change in B
-6 + 3x = 2 + 4x
Collect like terms
3x - 4x = 2 + 6
- x = 8
x = - 8
Hence, the rate of temperature change x in both stations is - 8° per hour
What is it will mark Brainliest
Answer:
y=10
Step-by-step explanation:
If u need work just ask me in the comments!
Answer:
The highest point of y is 16, so the absolute maximum is y=16.
2(x+7) + 3(x+1)
pls help
Answer: 5x +17
Step-by-step explanation:
2(x +7 ) + 3(x +1) Apply the distributive property to break it down
2(x) + 2(7) + 3(x) + 3(1)
2x + 14 + 3x + 3 Now combine like terms
5x + 17
Answer:
2x+14+3x+3
5x+17
Step-by-step explanation:
If you ride your bicycle at 22 miles per hour, how many miles could
you travel from 7:00 a.m. to 9:30 a.m. if you do not take a break?
Answer:
About 4-5 miles at the most i rode a bike before to a store and it took me an hour to go there and get back so.... Ya i would say about 4-5 miles
Step-by-step explanation:
Because 22mph is pretty slow. And i was going faster then 22mph when i was on my bike.
Answer:
55 miles
Step-by-step explanation:
Subtract 9:30 & 7:00, it will give you 2.3...meaning 2.5 hours. If you are traveling 22 miles an hour for 2 hours & 30 minutes you will get 55 miles total. 22 + 22 + 11 = 55.
I didn’t understand how to solve this, i’d be happy if someone explained thank you
Answer:
Option (E)
Step-by-step explanation:
[tex]\frac{a}{b}=\frac{c}{d}=k[/tex]
[tex]\frac{a}{b}=k[/tex]
[tex]b=\frac{a}{k}[/tex] ------(1)
[tex]\frac{c}{d}=k[/tex]
[tex]d=\frac{c}{k}[/tex] -------(2)
Since, [tex]\frac{6a+24}{md+6b}=k[/tex]
By substituting the values of b and d from equation (1) and (2),
[tex]\frac{6a+24}{\frac{mc}{k}+\frac{6a}{k}}=k[/tex]
[tex]\frac{k(6a+24)}{6a+mc}=k[/tex]
[tex]\frac{6a+24}{6a+mc}=1[/tex]
6a + 24 = 6a + mc
mc = 24
m = [tex]\frac{24}{c}[/tex]
Therefore, Option (E) will be the correct option.
Does the table, graph, or equation represent a linear or nonlinear function? EMERGENCY I need help
Answer:
Nonlinear
Step-by-step explanation:
This is because the x^2. If there are any exponets, the equation would be considered nonlinear.
Hope this helps!
There are 5 1/4 yards of silk in a roll. If it takes 3/4 of a yard to make one designer scarf, how many scarves can be made from the roll?
so you do 5 1/4 minus 3/4 and then you get your awnser
y = 5 - 3x Rewrite in y = mx + b form.
So in an atom, are there the same number of protons as electrons??? If so, then how are some electrons and protons negative and positive. And also, what is the net charge??
***IK that this isn't a math question but no one answers in science . . .
Answer:
If an atom has the same number of protons and electrons then it is electrically neutral. Not all atoms have to have the same number of atoms because the number of electrons can be changed with the element remaining the same. Protons have a positive charge while electrons have a negative charge. The net charge is dependent on the number of protons and electrons. If it has more protons it would have a higher amount of positive charge therefore making it a positive net charge. The same thing applies with electrons just opposite.
If the atom has no charge (neutral) then there are the same number of protons and electrons. The positive protons cancel out with the negative electrons to produce this neutral state. We can say the net charge is 0 here.
Now if you take away one or more electrons, then there will be more positive protons to outnumber the negative electrons. Overall, the net charge will be positive. For example, if the atom loses 3 electrons, then you'll have a net charge of [tex]3^{+}[/tex]. These positively charged ions are known as cations. You pronounce this as "cat-ion" instead of "catshun".
On the flip side, if you add electrons to an atom, then you'll make the net charge overall to be negative. So let's say we add 4 electrons. We'll have the net charge be [tex]4^{-}[/tex] and this is an anion. To pronounce "anion" you would say "an ion" instead of "anyun".
cation = positively charged ion (less electrons compared to protons)anion = negatively charged ion (more electrons compared to protons)---------------
In short, the number of protons and electrons are the same if the net charge is 0 and we're not dealing with ions. If you are dealing with ions, then the two counts will not be the same. Note how in the examples above, I didn't change the number of protons. Doing so would change the overall element entirely.
I REALLY NEED HELP!! Determine whether the graph represents a proportional relationship. (4 points)
A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 15. Four points are shown on the graph on ordered pairs 0, 2 and 1, 6 and 2, 10 and 3, 12. These points are joined by a line. The label on the x-axis is Number of cars. The title on the y-axis is Number of wheels.
a
Yes, it is a proportional relationship because the graph goes through the origin
b
Yes, it is a proportional relationship because the graph is a straight line
c
No, it is not a proportional relationship because the graph is not a straight line
d
No, it is not a proportional relationship because the graph does not go through the origin
Answer:
d) No, it is not a proportional relationship because the graph does not go through the origin
Step-by-step explanation:
A proportional relationship has to pass through the origin (0,0)
Sara had 40 candies. She wanted to give to her friends. She each gave her friends 10 candies each. How many friends does she have??
[tex]\huge\mathbb\purple{AnSwEr}[/tex]
[tex]\huge❤\bold\red{Hello}❤[/tex]
Hey mate 4 is your Answer
[tex]My \: pleasure \: to \: help \: you \: anytime.[/tex]
[tex]Mark \: me \: as \: brainliest .[/tex]
[tex] \huge \mathscr \pink \star\underline {Follow \: me } \red \star[/tex]
Answer:
4 friends
Step-by-step explanation:
-3,0 and 2 are the zeroes of the polynomial p(X)=x³+(a-1)x²+bx+c ,find a,c.
Answer:
a = 2
b = - 6
c = 0
Step-by-step explanation:
Since, -3,0 and 2 are the zeroes of the polynomial
[tex] Plug \:x = 0\: in \:p(X) \\
\implies p(0)= 0\\
\therefore 0= 0^3 +(a-1)(0)^2 +b(0)+c\\
\therefore 0= 0 +(a-1)\times 0 +b(0)+c\\
\therefore 0= 0 +0+0+c\\
\red{\bold{\therefore 0=c}}.....(1)\\\\
p(X)=x³+(a-1)x²+bx+c. \\
Plug \:x = -3\: in \:p(X) \\
[tex] \implies p(-3)= 0\\
\therefore 0= (-3)^3 +(a-1)(-3)^2 +b(-3)+c\\
\therefore 0= -27 +(a-1)\times 9 +b(-3)+c\\
\therefore 0= - 27 +9a-9 - 3b+c\\
\therefore 0= - 36+9a-3b+c\\
\therefore 36 =9a-3b+c... (2)\\
Plug \:c= 0\: in \:equation \: (2)\\
36= 9a - 3b + 0\\
36= 9a - 3b\\
36= 3(3a - b) \\
\purple {\bold{12 = 3a - b}} .... (3)\\\\
Plug \:x = 2\: in \:p(X) \\
\implies p(2)= 0\\
\therefore 0= 2^3 +(a-1)(2)^2 +b(2)+c\\
\therefore 0= 8 +(a-1)\times 4 +b(2)+c\\
\therefore 0= 8 +4a-4+2b+c\\
\therefore 0= 4 +4a+2b+c\\
\therefore - 4=4a+2b+c.....(4)\\
Plug \:c= 0\: in \:equation \: (4)\\
- 4 = 4a +2b+0\\
-4= 2(2a+b)\\
\orange{\bold{-2=2a + b}} .......(5)\\\\[/tex]
Adding equation (3) and (5), we find:
12 = 3a - b
-2 = 2a + b
_________
10 = 5a
10/5 = a
a = 2
Plug a = 2 in equation (5)
-2= 2(2) + b
-2 = 4 + b
-2 - 4 = b
-6 = b
b = - 6
mr brown and his 2 children are going to london by train
an adult ticket costs £24.
an child ticket costs £12
mr brown has a family railcard
family railcard gives : 1/3 off adult tickets
60 percent off child ticket
work out the total cost of the tickets when mr brown uses his family railcard
Answer:
The total cost will be equal to 25.6£
Step-by-step explanation:
In order to solve this question we will have to figure out the cost of the adult ticket and the children tickets when the railcard is used. For this we do the following.....
Let "a" be the cost of the adult ticket after using the railcard
Let "b" be the cost of the children ticket after using the railcard.
a = 24£ - (24£ x [tex]\frac{1}{3}[/tex]) = 24£ - 8£ = 16£
b = 12£ - (12£ x [tex]\frac{6}{10}[/tex]) = 12£ - 7.2£ = 4.8£
Now the total cost will be equal to the sum of an adult ticket and two children tickets after the railcard is used, so .....
Total cost = a + 2b = 16£ + 2(4.8£)= 16£ + 9.6£ = 25.6£
7 7/10 + 6 2/3 help please
Answer:
7.436 rounded to 7.44 hope this helps!
Step-by-step explanation:
7.7 + 6 2/3= 7.436
can anyone help and explain why this is either proportional or not? urgent!! (it needs an explanation too)
Answer:
Yes
Step-by-step explanation:
I would say yes, x is multiplied by itself to get an answer for y.