Answer:
3.98 seconds
Step-by-step explanation:
The given relationship between height, in feet, and the time, in seconds, is
[tex]h(t)=-10t^2+40[/tex]
[tex]\Rightarrow t^2=\frac{40-h(t)}{10}[/tex]
[tex]\Rightarrow t= \pm\sqrt{4-0.1h(t)}\cdots(i)[/tex]
Let at time [tex]t_1[/tex], the ball was at the goalie, so, [tex]h(t_1)=0[/tex], and at the time [tex]t_2[/tex], the ball was intercepted, so, [tex]h(t_2)=11[/tex].
Now, the time to reach the player after the goalie kicks the ball
[tex]\Delta t=t_2-t_1[/tex]
By using equation (i)
[tex]\Delta t=(\pm\sqrt{4-0.1h(t_2)})-\left(\pm\sqrt{4-0.1h(t_1)}\right)\cdots(ii)[/tex]
Now, at the highest point, the slope of the graph must be zero.
So, [tex]\frac {dh(t)}{dt}=0[/tex]
[tex]\Rightarrow -20t=0[/tex]
[tex]\Rightarrow t=0[/tex]
As at the highest point, the time is zero, to before reaching the highest point ( when kikes by the goalie, [tex]t_1[/tex]) take the time with the negative sign and after the highest point (when the ball intercepted, [tex]t_2[/tex]) take the positive sign.
So, from equation (ii) become.
[tex]\Delta t=\sqrt{4-0.1\times 11}-\left(-\sqrt{4-0.1\times 0} \right)[/tex]
[tex]=\sqrt{3.9}-(-\sqrt 4)[/tex]
[tex]=1.98+2[/tex]
= 3.98 seconds
Hence, the time to reach the ball to the player after the goalie kicks the ball is 3.98 seconds.
A multiplication table. In the row labeled 3, the numbers 9, 12, 15, and 18 are highlighted. Consider the highlighted products. The common factor is _____.
Answer: 3 for edgenuit y
Step-by-step explanation:
what is the equation of the horizontal line through (-7,-3)?
Answer:
9
Step-by-step explanation:
Graph g(x), where f(x) = 4x − 2 and g(x) = f(x + 1).
a line labeled g of x that passes through points 0, negative 2 and 1, 2
a line labeled g of x that passes through points 0, negative 3 and 1, 1
a line labeled g of x that passes through points negative 1, negative 2 and 0, 2
a line labeled g of x that passes through points 0, negative 1 and 1, 3
9514 1404 393
Answer:
a line labeled g of x that passes through points (-1, -2) and (0, 2)
Step-by-step explanation:
We can find the function g(x) to be ...
g(x) = f(x+1) = 4(x+1) -2
g(x) = 4x +2
This tells us the y-intercept is (0, 2), so the only viable answer choice is ...
a line labeled g of x that passes through points (-1, -2) and (0, 2)
Answer:
Your answer would be C:]
Step-by-step explanation:
Round 1,217 to the nearest thousand.
Answer:
1,000
Step-by-step explanation:
if it's past 1500 or in 1500 it would fall to 2000
but like it's less then 1,500 then it falls to 1000
hopefully it's right
I really need help :( I would really appreciate it:)
Answer:
3,32,6,56
Step-by-step explanation:
7x-3 = 5x+ 15
I have to write an explanation for this problem using the words variable term and constant term... can someone help me?
Answer:
7x-3 = 5x+ 15
2x-3 = 15 (you will need to subtract the variables to get 2x)
2x = 18 (next, add the constants to result up to 18)
x = 9 (lastly, divide the constant 18 with the coefficient 2 to get 9)
Which equation has a slope of 3?
A) y = 3x + 4
B) y = 4x + 3
C) 3x + 4y = 24
D) 4x + 3y = 24
Answer:
a
Step-by-step explanation:
Lily is in the business of manufacturing phones. She must pay a daily fixed cost to rent the building and equipment, and also pays a cost per phone produced for materials and labor. The equation C=900+100pcan be used to determine the total cost, in dollars, of producing pp phones in a given day. What is the slope of the equation and what is its interpretation in the context of the problem?
Answer:
The slope is 100Step-by-step explanation:
Given that the equation that represents the total cost is given as
C=900+100p--------1
this equation is the same as the equation of a straight line, and we can deduce from it when we compare it the straight line equation
the equation of a line is given as
y=mx+c------2
comparing equation 1 and 2 we have the slope as
m=100
In the context of this problem m=100 means that the cost of producing a phone per material and labour cost is $100
Answer:
The slope of the function is 100 which represents the additional cost to produce each phone.
Step-by-step explanation:
The slope shows how much more Lily must pay for each additional phone that is manufactured, representing the additional cost of producing each phone attributed to labor and materials.
Have a good day :)
can someone help me
Answer:
cant read it :(
Step-by-step explanation:
Answer:
m = [tex]\frac{y-b}{x}[/tex]
Step-by-step explanation:
Given
y = mx + b ( subtract b from both sides )
y - b = mx ( isolate m by dividing both sides by x )
[tex]\frac{y-b}{x}[/tex] = m
Someone please help! Asap
Which shows the image of quadrilateral ABCD after the transformation Ro, 90?
Quadrilateral ABCD is rotated 90 degrees clockwise, to get A'(0, 1), B'(-1, 0), C'(-3, 2) and D'(-2, 3).
TransformationTransformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.
If a point A(x, y) is rotated clockwise by 90 degrees, the new point is at A'(y, -x)
Quadrilateral ABCD is at A(-1, 0), B(0, -1), C(-2, -3) and D(-3, -2). If ABCD is rotated 90 degrees clockwise, the new point is at A'(0, 1), B'(-1, 0), C'(-3, 2) and D'(-2, 3).
Find out more on transformation at: https://brainly.com/question/1548871
Answer:
B)
Step-by-step explanation:
edge
what's the diagonal if a square of area 32 cm2?
Answer:
it is d=8cm
I hope this helps!!!
Which one?
A or B.
Answer:
A) 600
Step-by-step explanation:
Sooo 3 x -5 = -15
then -4 x 10 = -40
Next -40 x -15 = 600
Since it's a negative times a negative the outcome is gonna be positive. Also I just broke down the problem into two parts and then multiplied the two answers together since it was called for.
In American football, the ball is punted by dropping and kicking it before it hits the ground. The height ht of the football above the ground in meters t seconds after being punted is affected by gravity and by the punter's kick, and can be represented as the difference of two functions: at=4.9t2, which specifies the effect of gravity on the height of the ball, and vt=13.7t+0.5, which specifies the effect of the punt on the ball. With these two functions, ht=vt-at, how high above the ground was the ball when it was punted?
Answer:
The ball was 0.5 m above the ground before it was punted.
Step-by-step explanation:
Since at = 4.9t² specifies the effect of gravity on the height of the ball, and vt = 13.7t + 0.5 specifies the effect of the punt on the ball, the height ht of the ball above the ground after the punt is ht=vt-at
ht = 13.7t + 0.5 - 4.9t². To find the height ht above the ground at which the ball was punted, we insert t = 0 which is the start time of the punt into the equation for ht. So with t = 0, ht becomes
ht = 13.7t + 0.5 - 4.9t²
ht = 13.7 × 0 + 0.5 - 4.9 × 0²
ht = 0 + 0.5 - 0
ht = 0.5 m
So the ball was 0.5 m above the ground before it was punted.
What is the equation of the line that passes through the point (6,-4) and has a
slope of -1/6
Answer:
y = -1/6x-3
hope this helps
Answer:
x+6y+18=0
Step-by-step explanation:
we have to use (y-y1)=m(x-x1)
now,(x1,y1)=(6,-4),m=-1/6
so, (y+4)=-1/6(x-6)
or,6y+24=-x+6
or,x+6y+24-6=0
x+6y+18=0 is the required equation.
SCory earns $20 per day plus $6 for every sale he makes. On Saturday, he wants to earn at least $50. Which best describes the number of sales he needs to make to reach his goal? (Hint: Write an inequality to find solution.)
Answer:
5 sales is the answer now give brainliest
Answer:
He would have to make 5 sales.
Step-by-step explanation:
To write this as an inequality, you would write it as 20 + 6(x).
HELP ILL AWARD BRAINLIEST
Answer:
Step-by-step explanation:
1 hour you will make $10
2 hours you will make $20
10 hours you will make $100
The constant of proportionality is 10
and its x=10y
I don't understand what they mean when its says "x hours"
How do I turn a equation to factored form
Answer:
what equation is it?? bc it's important to know witch one
10c - 6(2c - 1) = -2 (c- 3). Solve for c
a class has the same number of girls and boys only 8 boys were absent on a particular day and then the number of girls was double the number of boys what is the number of boys and girls
If there are 300 boys
enrolled in the school,
how many girls are
enrolled in the school?
(Ratio 5 girls for every 6 boys.)
Four people share 2/5 pound of peanuts equally. What fraction of a pound of peanuts does each person receive? Answer in simplest form.
Answer: 1/10
Step-by-step explanation:
2/5 x 1/4= 1/10
keep, change, flip
Two window washers start at the heights shown. One is rising, the other is descending. How long does it take for the two window washers to reach the same height? Explain.
21 ft high
rising 8 in./s
50 ft high
descending 11 in./s
After t seconds, the height of the rising window washer is exactly
nothing feet, and the height of the descending window washer is exactly
nothing feet. Setting these expressions equal to each other and solving for t yields the exact value t
nothing. Rounding to one decimal place, the window washers reach the same height after about
nothing seconds.
(Simplify your answers.)
Answer: 18.32secs
Step-by-step explanation:
given data:
first washer
21 ft high
rising 8 in./s
second washer
50 ft high
descending 11 in./s
Solution:
initial height of first washer = 21 feet
1feet = 12inches
21 * 12 = 252inches
decending at a pace of 8inch/secs
= 252 + 8x
initial height of second washer
= 50 feet
= 50 * 12
= 600inches
descending at a pace of 11inch/secs
= 600 + 11x
At what time would they meet
252 + 8x = 600 + 11x
collect like terms
8x + 11x = 600 – 252
19x = 348
divide both sides by 19
19x/19 = 348/19
x = 18.32secs
There are (64)2 ⋅ 60 pigs on a farm. What is the total number of pigs on the farm?
Answer:
If the question is (64)2 x 60, then the answer is 7,200
Step-by-step explanation:
5/-8 + 2/3
Evaluate it and in simplest form
Answer:
1/24
Step-by-step explanation:
(-5/8)+2/3
(-15/24)+16/24
1/24
equation represents a line which is parallel to the line 3y-x=-15?
Answer:
Any equation that has the same slope
Step-by-step explanation:
If two li es have the same slope that means they will never intercept
can someone help me I need a quick answer. If a base of 5 has an exponent of 2 and is subtracted from a base of 4 that hs an exponent of 3, what is the remaining number?
Answer:
39
Step-by-step explanation:
4^3 equals 64, and 5^2 equals 25. 64 - 25 = 39.
It takes Brian 15 hours longer to build a model car than it takes John. If they work together, they can build the model car in 4 hours. Using complete sentences, explain each step in figuring out how to determine the time it would take Brian to build the car on his own. (10 points)
Answer:
1/x + 1/( x+15 ) = 1/4 / · x ( x+15 )
x+15 + x = x ( x+15 ) /4 / · 4
8 x + 60 = x² + 15 x
x² + 15 x - 8 x - 60 = 0
x² + 7 x - 60 = 0
x² + 12 x - 5 x - 60 = 0
x · ( x + 12 ) - 5 ·( x+ 12 ) = 0
( x + 12 ) · ( x - 5 ) =0
x = - 12 ( not accepted ) or x = 5
The time taken by Brian: 5 + 15 = 20 hours
Step-by-step explanation:
Solve for f.
4f = -2 + 5f
Answer:
f=2
Step-by-step explanation:
First, you move the variables to the left side of the equation and change its sign.
After doing so, you have 4f -5f =2.
Now, combine like terms. 4f-5f = -f, or -1f. Either way is fine.
Your equation looks like this now: -f = -2
Now remove the negative symbols due to their being one on both side.
f=2
Mark brainliest if possible please! Have a nice day.
20 POINTS and BRAINLEST
Find the sum. Include all calculations in your answer.
-4 5/8 + 2 1/8
Answer:
-2.5
Step-by-step explanation:
-4 5/8 = -4.625
2 1/8 = 2.125
-4.625 + 2.125 = -2.5
Answer:
-20/8 or -2 1/2
Step-by-step explanation:
-4 5/8 + 2 1/8
Convert mixed numbers into improper fractions
-37/8 + 17/8
Add the numerators but NOT the denominators
Final Answer: -20/8 or -2 1/2
can i get brainiest