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 a constraint in math? For what situations would they be useful?
Answer:
Constraints are restrictions (limitations, boundaries) that need to be placed upon variables used in equations that model real-world situations. ... Constraints then become necessary to allow the mathematical model to realistically represent the situation. hope this helps!
Step-by-step explanation:
Answer: Constraints are restrictions (limitations, boundaries) that need to be placed upon variables used in equations that model real-world situations. Constraints then become necessary to allow the mathematical model to realistically represent the situation
Brandon was on vacation for 2 weeks and 1 day. He spent the same amount of time with each of his 3 brothers. How many days did he spend with each brother?
Answer:
2.67 days each
Step-by-step explanation:
Answer: 2.67
Step-by-step explanation:
Please help look at the screenshot
Answer:
Step-by-step explanation: 40 newtons to the right
Luke is a dog walker. He gets $10 per day for walking his neighbor's dogs. He recently snapped his surfboard and wants to buy a used surfboard for $325. If he has $142 in the bank, how many days will he have to walk the dogs to earn enough for the board?
Answer:
10$
Step-by-step explanation:
A man basic wage for a 40-hour weekly is $160.00. He is paid $5.00 per hour for overtime . If he works 6 1/2 hours over time in a certain week his wage for that week is
What is the answer to number 3?
Answer:
A
Step-by-step explanation:
(?)^2-3(?)=-2 can anyone solve this
Answer: x = 1 or x = 2
Sub in x for ?:
x^2-3x = -2 (Move all the terms to one side, and set the equation to equal 0)
x^2-3x+2 = 0 (Factor the simple trinomial by finding two numbers that multiply to 2 and add to -3)
x^2-x-2x+2 = 0 (Factor the expression)
x(x-1)-2(x-1) = 0 (Group like terms)
(x-1)(x-2) = 0 (Solve for x by setting each term equal to 0)
x-1 = 0
x = 1
x-2 = 0
x = 2
∴ x = 1 or x = 2.
Please help!!
Simplify the expression:
1) (m^2m^3)^4
2) (x^4x)^2
Hello! I hope i’m correct!! :)
Answer:
1) 20^m
2) x^10
Step-by-step explanation:
[tex](m^{2+3})^{4}[/tex]
[tex](m^{5})^{4}[/tex]
[tex]=[/tex][tex]m^{20}[/tex]
First expression: m^20
______________________________
[tex](x^{5} )^{2}[/tex]
[tex]=x^{10}[/tex]
Second expression: x^10
Hope this helps! If you have any questions about this, feel free to ask! Have a wonderful day! ⭐️
(Sorry if this is incorrect!)
~By, BrainlyAnime~ <3
Answer:
1) 20^m
2) x^10
Step-by-step explanation:
1. Reformatting the input:
Changes made to your input should not affect the solution:
( 1 ) : "m3" was replaced by "m^3".
m^5 raised to the 4th power = m^( 5 * 4 ) = m^20
_________________________________________________
2.
x^5 raised to the 2nd power = x^( 5 * 2 ) = x^10
A sequence of numbers is 0, 12, 24, 36, 48,.... Drag tiles to complete the statements.
Answer:
60 and 72
Step-by-step explanation:
We can tell that each number is being added by 12 so add 48 with 12 and you get 60 and add 12 to 60 you get 72
Geometric
HELP PLEASE !!!!
(2^6)^x=1 what is the value of x?
Answer:
x = 0
Step-by-step explanation:
Using the rule of exponents
[tex]a^{0}[/tex] = 1
Given
[tex](2^{6}) ^{x}[/tex]
= [tex]2^{6x}[/tex]
The only way for this to equal 1 is for x to be zero
Thus x = 0
Length of a segment with endpoint of (-2,5) and (4,5)
Answer:
6...the length is 6
This is a horizontal line!
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
Mrs. Lowry drove 20 miles in 25 hour. What is Mrs. Lowry’s speed in miles per hour?
Answer:
Mrs. Lowry is driving 0.8 mph.
Step-by-step explanation:
If she is going 20 miles per 25 hours you would set up the problem as 20/25 or 20 ÷ 25. This is because you need to get down to how many miles she is traveling per 1 hour. So, 20 ÷ 25 = 0.8. Therefore she is going 0.8 miles per 1 hr.
Select the parent function and its graph.
Answer:
The first one
Step-by-step explanation:
Answer:
first function, second graph
Step-by-step explanation:
got it right in plato :DDD
15 points! Please I need some help this is due ...
Answer:
The answer above is correct
i need help.please help me
Answer:
1) r >-5 2) x >9
Step-by-step explanation:
ft. = 4.8 yd.
How many feet is it
Find the 87th term of this sequence: 157, 150, 143, ...
Answer:
[tex]\bold{a_{87}=-445}[/tex]Step-by-step explanation:
[tex]a_1=157\\a_2=150\\\\d=150-157=-7\\\\a_n=a_1+d(n-1)\\\\a_{87}=157+(-7)(87-1)=157-7\cdot86=-445[/tex]
You are making a scale drawing with a scale of 2 in. = 17 ft. Explain how you find the length of the drawing of an object that has an actual length of 51 ft.
Answer:
17/2 = 8.5
1 inch = 8.5 feet
51/8.5 = 6 inches
Step-by-step explanation:
HI :)
Answer:
51 divided by 17 = the answer
Step-by-step explanation:
if each 2 in. is 17 ft, you are looking for how many inches 51 feet would be.
Evaluate x/y when x=9/4 and y=3/5
Answer:
[tex]\displaystyle x/y=\frac{15}{4}[/tex]
Step-by-step explanation:
Division of fractions
To calculate the division of fractions a/b and c/d, it's usually easier to multiply a/b by the reciprocal of the denominator, that is:
[tex]\displaystyle \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a}{b}\cdot \frac{d}{c}[/tex]
We will evaluate x/y when x=9/4 and y=3/5:
[tex]\displaystyle \frac{\frac{9}{4}}{\frac{3}{5}}=\frac{9}{4}\cdot \frac{5}{3}[/tex]
[tex]\displaystyle=\frac{45}{12}[/tex]
Simplifying:
[tex]\displaystyle \boxed{x/y=\frac{15}{4}}[/tex]
Liam earned $1,200 in 2 weeks at his job. Matthew earned $1,450 in 4 weeks at his job. Which explains who earned more per week? A. Liam earned more per week because in 2 weeks he earned $250 more than Matthew earned in 4 weeks. B. Liam earned more per week because in 2 weeks he earned almost the same amount as Matthew earned in 4 weeks. C. Matthew earned more per week because in 4 weeks he earned $250 more than Liam earned in 2 weeks. D. Matthew earned more per week because he worked twice as many weeks as Liam worked.
Answer:
B. Liam earned more per week because in 2 weeks he earned almost the same amount as Matthew earned in 4 weeks.Step-by-step explanation:
in this problem we want to find who earns more between Liam and Mathiew
given
Liam earned $1,200 in 2 weeks
Matthew earned $1,450 in 4 weeks
Another way to find out who earns more per week is to find their weekly earns
for Liam earned $1,200 in 2 weeks
in a week he will earn= 1200/2
=$600 per week
for Mathew earned $1,450 in 4 weeks
in a week he will earn= 1450/4
=$362.5 per week
In a week Liam earns more
What is the area of this polygon?
Pleasee help mee
I will mark brainliest!
Answer:
60 squared inches.
Step-by-step explanation:
You can break this polygon into two parts. The rectangle part of the polygon is 55 squared inches. The triangle part is 5 squared inches.
The rectangle:
[tex]5(11)=55[/tex]
The triangle:
[tex]2(5)=10\\10/2=5[/tex]
Therefore, the whole polygon is 60 squared inches.
Like what the other one said, and thank you so much for the points.
A market stall has 13 bags of apples, and 11 loose apples on display. In
total there are 141 apples at the stall. How many apples are in each bag?
Answer:
10 apples
Step-by-step explanation:
141-11 is 130. it says there are 11 loose apples on display. in total, there are 130 apples in the bag
we know that there are 13 bags of apples. so 130/13 is 10. there are 10 apples in each bag
show work
only do those
32,34,36,38,40
Answer: see below
Step-by-step explanation:
[tex]32)\quad \dfrac{3}{5}(x-12)>x-24[/tex]
3(x - 12) > 5(x - 24)
3x - 36 > 5x - 120
-5x -5x
-2x - 36 > -120
+36 +36
-2x > -84
÷ -2 ↓ ÷ -2
x < 42
Graph: ←------------o
42
34) 6[5y - (3y - 1)] ≥ 4(3y - 7)
6[5y - 3y + 1] ≥ 4(3y - 7)
6{2y + 1] ≥ 4(3y - 7)
12y + 6 ≥ 12y - 28
-12y -12y
6 ≥ -28
TRUE so the solution is All Real Numbers
Graph: ←-----------------------→
36) BC + AC > AB
4 + 8 - AB > AB
12 - AB > AB
+AB +AB
12 > 2AB
÷2 ÷2
6 > AB
AB < 6
[tex]38)\quad \dfrac{1}{2}(y-16)\geq y+2\quad ;\text{claim}\ y\leq 20[/tex]
Check: let y = 16
then [tex]\frac{1}{2}[/tex](16 - 16) ≥ 16 + 2
0 ≥ 18
FALSE so the claim is wrong
40) question not provided in the image so I cannot give a solution.
Two thirds of 148 seventh
graders buy their lunch at
school. How many students
is this?
Answer:
if you round, its 99. if you ignore the decimal, its 98
Step-by-step explanation:
2/3 of 148 is 98.66
TRUE OR FALSE
Angle BAH and angle DAG form linear pair.
Answer:
false
Step-by-step explanation:
A stack of 3 books weighs 7.8 kilogramh book weighs the s. If eacsame amount, how much does each book weigh?
Answer:
they each way 2.6 kilograms
Find the perimeter or circumference and area of each figure if each unit on the graph measures
1 centimeter. Round answers to the nearest tenth, if necessary.
Answer:
Circumference of the circle = 17.8 units
Area of the circle = 25.1 square unit
Step-by-step explanation:
Formula to get the circumference of a circle = 2πr
Where r = radius of the circle
Radius of the given circle = Distance between the points A(2, 3) and B(4, 1)
r = [tex]\sqrt{(2-4)^2+(3-1)^2}[/tex]
r = [tex]2\sqrt{2}[/tex] units
Therefore, circumference = 2π(2√2)
= 17.77
≈ 17.8 units
Area of the circle = πr²
= π(2√2)²
= 8π
= 25.13
≈ 25.1 square unit
Solve the equation. Identify any extraneous solutions.
h = sqrt 3h
-3 is a solution of the original equation. 0 is an extraneous solution.
0 and 3 are solutions of the original equation.
3 is a solution of the original equation. 0 is an extraneous solution.
0 is a solution of the original equation. 3 is an extraneous solution.
Answer:
It's the second option:
0 and 3 are both solutions.
Step-by-step explanation:
h = √(3h) Square both sides:
h^2 = 3h
h^2 - 3h = 0
h(h - 3) = 0
h = 0, 3.
If we plug h = 0 into the original equation:
0 = √(3*0) = 0 so this is a root.
x = 3:
3 = √(3*3) = 3 so this is also a root.
Answer:0 and 3 are solutions of the original equation.
Step-by-step explanation:
PLEASE HELP !!!!
Determine whether each equation is correct
Answer:
yes
Step-by-step explanation: