A golfball is hit from ground level with an initial vertical velocity of 64 ft/s. Use the function h(t) = −16t2 + v0t + h0, where h(t) is the height of a golfball hit with initial vertical velocity v0 from initial height h0 after t seconds in the air, to find the time at which the golfball will hit the ground. after 4 s after 5 s after 3 s after 6 s
Answer:
It is seen that the height of the golf ball is maximum at t= 3 sec that is 50 m above the ground.
The ball hits the ground at t= 4 seconds that is it's distance from the ground is zero meters.
Step-by-step explanation:
h(t) = −16t2 + v0t + h0
Putting the values
Initial velocity = V0 = 64m/s
time = 4, 5,3,and 6 seconds
initial height = h0 = ground level= 0 m
h(t) = −16t2 + v0t + h0
h(4) = −16(4)2 + 64(4) + 0
h(4)= 0m
h(t) = −16t2 + v0t + h0
h(5) = −16(5)2 + 64(5) + 0
h(5)= - 400 + 320= -80m
h(t) = −16t2 + v0t + h0
h(3) = −16(3)2 + 64(3) + 0
= -144+ 192= 50m
h(t) = −16t2 + v0t + h0
h(6) = −16(6)2 + 64(6) + 0
= -576+ 384= -192m
It is seen that the height of the golf ball is maximum at t= 3 sec that is 50 m above the ground.
The - ( negative) sign at different times shows that the ball may follow a path lower than the ground level.
The ball hits the ground at t= 4 seconds that is it's distance from the ground is zero meters.
A man invests some money at 10% interest for 1 year
After 1 year it is worth £3300
How Much did he invest?
FOR BRAINLY PLEASE INCLUDE A STEP BY STEP
Answer:
investment=£3000
Step-by-step explanation:
let ; principal amount (investment)=p ,
simple interest = p*t*r/100
£3300-p=p*1*10/100
(3300-p)100/10= p
33000-10p=p
33000=11p
33000/11 = p
£3000=p
Which set of ordered pairs represents y as a function of x?
{(2,-1), (4, -2), (6, -3), (8, -4)}
{(0, 0), (1, 1), (1, 0), (2, 0)}
{(3, 3), (3, 4), (4, 3), (4, 4)}
{(1, -5), (1, 5), (2, -10), (2, -15)}
Answer:
{(2,-1), (4, -2), (6, -3), (8, -4)}
Step-by-step explanation:
The other ordered pairs have a common domain value which means they are not a function.
For example:
{(5,7), (5,8), (10,3)} would not be a function because the 5 is repeating
However
{(2,6), (4,6), (22,7)} would be function because there are no numbers in the x part of the ordered pair that repeat. (x,y)
I hope you can see the pattern now
help asap please does the graph represent a function
what is the value of x?
hey help me pls:
!!!!!!
Answer:
4x-1 is right pattern rule
Answer:
4x-1
Step-by-step explanation:
4(1) -1 = 3
4(2) -1 = 7
and so on
identify the coefficient in the term 7x^2y^3
A) 7
B) 3
C) 2
the first step in solving 5 1/2 = 2 2/7 + n/4 is to subtract 2 2/7 from both sides of the equation.
A) True
B) False
the first step in solving 7/8 = 3x - 5/11 is to subtract 5/11 from both sides of the equation.
A) True
B) False
Thanks love ♡
Answer:
1-7
2-True
3-True
Step-by-step explanation:
1-A
2-true
3-True
Solve the following system of equations algebraic
y=x^2+3x-29
y=2x-9
Step-by-step explanation:
Given equations:
y = x² + 3x - 29 ------ (i)
y = 2x - 9 ---------------- (ii)
Now to solve this problem, we must determine the value of x and y;
Equate equations 1 and 2;
x² + 3x - 29 = 2x - 9
x² + 3x - 2x - 29 + 9 = 0
x² + x - 20 = 0
x² + 5x - 4x - 20 = 0
x(x + 5 ) - 4(x + 5) = 0
(x - 4) (x+ 5) = 0
x - 4 = 0 or x + 5 = 0
x = 4 or x = -5;
So; solve for y now;
y = 2x - 9
input x = 4 or x = -5;
y = 2(4) - 9 or y = 2(-5) - 9
y = -1 or y = -19
What is the slope of the line that passes through the points (7,−6) and (4, -6) ? Write your answer in simplest form.
the answer is m = 0. i hope this helps-
Given the regular heptagon shown, find the value
of c.
Coach South and Mr. Dr. Coach Rhodes are having a problem solving competition. Mr. Dr. Coach Rhodes can solve four more problems than twice the number of Coach South. If Mr. Dr. COach Rhodes has solved twenty problems, how many problems has Coach South solved?
9514 1404 393
Answer:
8
Step-by-step explanation:
Let s represent the number of problems Coach South solved. Then Mr Dr Coach Rhodes solved ...
2s +4 = 20
2s = 16
s = 8
Coach South solved 8 problems.
MATH ANSWER IF YOU LIKE THESE SONGS
Muffin time
life is fun
i like trains
Answer:
1 + 1 = 2 - 3= maths
Step-by-step explanation:
yes dfuilwfjkwdlwo
Answer:
i like trains CHOOOOOO
Step-by-step explanation:
6t - 9u = 10
2t + 3u = 4
solve by elimination please
Answer:
I got u= 1/9 and t=11/6
Step-by-step explanation:
hope this helps
The solution to the equation is t= 11/6 and u= 1/9.
What is 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. Every mathematical equation begins with L.H.S = R.H.S.
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 equation:
6t - 9u = 10........(1)
2t + 3u = 4.........(2)
Multiply equation(2) with 3 we get
6t+ 9u = 12...(3)
Now, subtract (3)- (2)
18u= 2
u= 2/18
u= 1/9
and, 6t - 9(1/9)= 10
6t - 1= 10
6t= 11
t= 11/6
Learn more about equation here:
https://brainly.com/question/10413253
#SPJ2
Write an equation in y = mx + b given the slope of 2 and goes through the point (4, 9).
Answer:
slope=2 ie m=2
y=2x+b
and to solve b, we put in 4 and 9 into the equation
9=2*4+b, so b=9-8=1
hence y=2x+1
Step-by-step explanation:
Answer:
Student your question is not too clear, please complete the question
Is the function shown linear or nonlinear? Explain.
Answer:
non linear im pretty sure
Kurt says that if he starts with the number n, multiplies it by the next whole number and then adds 3 he will get 45. N(n+1)+3=45 what number makes kurts equation true?
Answer:
6
Step-by-step explanation:
we start with:
n(n + 1) + 3 = 45
n² + 1n = 42
n² + 1n - 42 = 0
n can be either 6 or -7
(n - 6)(n + 7)
since we cannot have negative numbers, the answer should be 6, but we can verify which number fits our equation:
n = 7 ⇒ n(n + 1) + 3 = 45
7(7 + 1) + 3 = 59 WRONG
n = 6 ⇒ n(n + 1) + 3 = 45
6(6 + 1) + 3 = 45 ✓ CORRECT
Answer:
6
Step-by-step explanation:
If 5 men paint a wall in 3hours,
How many men will paint the same wall in 3/4 hours,
working at the same rate
a)5
b)10
c)15
d)20
e)24
Answer:
20 men will paint the same wall in 3/4 hours.
Step-by-step explanation:
Given information is:
5 men paint a wall in 3 hours
Let x be the number of men
It is also mentioned that the rate will be same with x men. So we have to put both the rates/proportions equivalent to find the number of men.
So,
[tex]men * hours = men*hours\\5*3 = x*\frac{3}{4}\\15 = \frac{3}{4}x\\x = \frac{4}{3} * 15\\x = 20[/tex]
Hence,
20 men will paint the same wall in 3/4 hours.
2x - 1.50 = 1.50x I need help Plss
Answer:
x=3
Step-by-step explanation:
2x - 1.50 = 1.50x
.50x = 1.50
x=3
Match each expression to correct number line model.
I NEED THIS RIGHT AWAY!
(no one answered my last one so i hope this gets answered quick.)
Ali is cutting a pizza into serving sized sections he uses a long knife to be sure that the cuts he makes in the pizza are straight which statements are true select all that apply
Answer:
1. Ali makes three straight long cuts along the diameter of the pizza.
2. Ali makes two straight long cuts along the diameter of the pizza.
Step-by-step explanation:
Each serving size in a pizza contains consistent weight but the fraction of the pie can change depending upon the size of the pizza., size of crust, toppings, etc.
The pizza can be cut into different pie section depending upon the size of the pizza. One-sixth or one-fifth is the most common pie sections.
Ali uses a long knife to cut the pizza in a straight line. He must cut the pizza in to 8 pieces or 4 pieces so that he can be sure that the pizzas are cut in a straight line.
For 8 pieces of pizza, Ali has to make three straight long cuts across three diameters of the pizza and for 4 pieces, Ali has to make two straight long cut along the diameters.
Which list orders -3,2,5, -1 From least to greatest
Answer: C= -3, -1, 2, 5
Step-by-step explanation:
3 3/5 as decimal. Anyone help
Answer:
3.6
Step-by-step explanation:
You can make this fraction 60/100, which will tell you that is 3.6. You can also use your calculator to divide 3/5 and it will give you .6 :)
the perimeter of a right angled triangle is 72cm. the lengths of its sides are in the ratio 3:4:5. work out the area of the triangle
The area of the given triangle will be 216 cm²
What is a Triangle?Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles.
We have been given that the perimeter of a right-angled triangle is 72cm. the lengths of its sides are in the ratio 3:4:5.
Let the side lengths of the given triangle be 3x, 4x, and 5x
The perimeter of the triangle = 3x + 4x + 5x
72 = 12x
x = 6
So first side length = 3(6) = 18 cm
So second side length = 4(6) = 24 cm
And third side length = 5(6) = 30 cm
Area of the triangle = (18 × 24)/2
Area of the triangle = 216 cm²
Therefore, the area of the given triangle will be 216 cm².
Learn more about the triangles here:
https://brainly.com/question/17997149
#SPJ2
Which of the following best describes how the definition of a perpendicular bisector can be formed using transformations?
A. A 90 degree rotation of line segment AB centered at the origin
B. A 90 degree rotation of line segment AB centered at point A
C. A 90 degree rotation of line segment AB centered at point B
D. A 90 degree rotation of line segment AB centered at its midpoint
Jamil, Kiera and Luther collect badges,
Janil has x badges.
Kicra has 12 badges more than Jamil
Luthier lias 3 times as many badges as Kiera.
Altogether they have 123 badges.
Form an equation and solve it to find the value of x.
Solve the equation.
-9x + 1 = -x + 17
O x=-8
O x= -2
O x= 2
O x = 8
What is the slope of a line perpendicular to the line whose equation is
3x + 3y = –27. Fully reduce your answer.
Answer:
1
Step-by-step explanation:
x+y=-9
y=-x-9
So slope of original line is -1.
The line perpendicular to the original line is -1/-1 = 1
What is the slope of a line that is perpendicular to a line that has a slope of -7
Please help ya girl out :))
TheStudent Government buys sweatshirts for $10 and sells them for $25. Find the percent of increase.
Answer:
4
Step-by-step explanation:
4444
Dan made $5.38 for a half hour of work. At Dan's current rate of pay, how much would Dan make for 8 hours of work?
Answer:
The answer is 86.08, hope this helps.
Step-by-step explanation:
Answer:
$86.08
Step-by-step explanation:
If Dan makes $5.38 for HALF an hour how much does he make for a full hour? He makes $10.76 for an entire hour.
$10.76 x 8= $86.08