Answer:
After 5 seconds
Step-by-step explanation:
One is given the following expression to model to the flight path of a ball:
[tex]h=-16t^2+80t[/tex]
In this problem, one is asked to find the time at which the ball lands on the ground. The easiest way to do so is to factor the expression. Take out factors that both terms have in common. The one will set the equation equal to zero, as this is the height at which one wants to find the time for. Finally, use the zero product property to solve. The zero product property states that any number times zero equals zero. Apply these ideas to the given function:
[tex]h=-16t^2+80t[/tex]
Factor the expression; both terms have a common factor of (-16t):
[tex]h=-16t^2+80t[/tex]
[tex]h=-16t(t-5)[/tex]
Set the equation equal to zero to solve for when the ball has a height of zero or rather lands on the ground:
[tex]h=-16t(t-5)[/tex]
[tex]0=-16t(t-5)[/tex]
Now use the zero product property, this states that any number times zero equals zero. Set each of the factors equal to zero, and solve to find the value of (t) for which the factor will equal zero:
[tex]0=-16t(t-5)[/tex]
[tex]0=-16t[/tex] [tex]t - 5 =0[/tex]
Solve for the value (t) using inverse operations,
[tex]0=-16t[/tex] [tex]t - 5 =0[/tex]
(divide by (-16) (add (5))
[tex]0=t[/tex] [tex]t=5[/tex]
As one can see, the ball started on the ground, therefore at (0) seconds, its height was (0). Then, after (5) seconds the ball landed on the ground, therefore, after (5) seconds its height was again (0).
a middle school has 212 people. 118 are students. the rest are adults. what is the ratio of students to adults?
Answer:
Students:Adults = 118:94
Step-by-step explanation:
212-118=94
20 Points!! Please help me with these, I need them done SOON!! Thanks <3
Answer:
f(x) = ∣x∣
A.)
f(x) = 3√x
E.)
Fist one is A and second is E
Step-by-step explanation:
Have a nice day! :-)
If the original ordered pair in a shape was ( 3, 4), what would the new ordered pair be after a Dilation with a scale factor of 2 ?
Answer:
(6, 8 )
Step-by-step explanation:
Assuming the dilatation is centred at the origin, then multiply the coordinates by the scale factor 2, that is
(3, 4 ) → (2(3) , 2(4) ) → (6, 8 )
Construct 45° by using set square
Place 45
∘
set-square and make an angle of 45
∘
by drawing the rays BD and BC
What is the answer to -4/3 / -1/4?
[tex] \frac{16}{3} [/tex]
Step-by-step explanation:
[tex] \frac{ \frac{ - 4}{3} }{ \frac{ - 1}{4} } [/tex]
➡️ [tex] \frac{ \frac{4}{3} }{ \frac{1}{4} } [/tex]
➡️ [tex] \frac{4}{3} \div \frac{1}{4} [/tex]
➡️ [tex] \frac{4}{3} \times 4[/tex]
➡️ [tex] \frac{4 \times 4}{3} [/tex]
➡️ [tex] \frac{16}{3} [/tex]
A solid oblique cone with a slant length of 17 units is placed inside an empty cylinder with a congruent base of radius 8 units and a height of 15 units. A solid oblique cone with a slant length of 17 units is inside an empty cylinder with a congruent base of radius 8 units and a height of 15 units. What is the unfilled volume inside the cylinder
Answer:
C. 640π cubic units
What is the volume of a crystal in the shape of a pyramid with a base (b) measuring 4 cm and a height (h) of 5 cm?
Answer:
2 (L+B)
2 (4+5)CM
2×9
18cm
Can someone pls help me with 1,4,5 and 6
Answer:
(-1,4)
Step-by-step explanation:
from,
midpoint (x,y) =(x1+x2)/2, (y1+y2)/2
=(-5+7)/2, (5+3)/2
=(-1,4)
the midpoint is (-1,4)
Help me pls i have to finish my homework i have more questions to post too
Step-by-step explanation:
16)(a²-b)÷6
subtitute a and b above:
={(5)²-1}÷6
=(25-1)÷6
=24÷6
=4
18)y-(4-x-y÷2)
subtitute x and y above:
=2-(4-3-2÷2)
=2-(4-3-1)
=2-(4-4)
=2-0
=2
Note:if you need to ask any question please let me know.
Express the perimeter of a square as a
function of its area.
Answer:
perimeter of a square =side side
Karma spends two fifth hours every day learning music.how maby hours does she spends learning music in a week?
Answer:
17.5
Step-by-step explanation:
3 Five friends shared 8 1/3 pounds of apples equally. How many pounds of apples did each person get?
Answer:
a fruit seller buys 712 fruits ,of which 3/4 are apples. of all apples that he bought 1/3 were found to be rotten. if he sold all the good apples at Rs.5 1/4 each.
1.10.3 Test (CST): Coordinate Geometry
Question 10 of 25
What is the area of a square with sides of length 9?
A. 54 square units
B. 81 square units
C. 36 square units
O D. 18 square units
SUBMIT
The area of a square with sides of length 9 is 81 square units.
What is an area?Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.
The space enclosed by the boundary of a plane figure is called its area.
The area of a figure is the number of unit squares that cover the surface of a closed figure.
Given that, a square with side length of 9 units, we need to find its area, We know that, the area of a square is given by the square of it side, so Area = side²
Area of the given square = 9²
= 9 x 9
= 81 sq. units
Hence. the area of a square with sides of length 9 is 81 square units.
Learn more about areas, click;
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Write as an algebraic expression five times the sum of a number and 4
Answer:
5(x+4)
Step-by-step explanation:
It's basically asking for the sum of a number and four to be multiplied by 5. Since the sum is made up of the unknown number and four, you'd put four and the unknown number in parenthesis while putting five on the outside, making it 5(x+4).
tell whether the two fractions form a proportion 3/4 and 16/20
Answer:
check by cross multiplication
3*20 = 4*14
60 ≠ 56
no does not form a proportion
Step-by-step explanation:
Troy is writing a book of short stories. It is his
goal to write one short story this month, two
short stories next month, three short stories
the following month, and so on for 13 more
months. How many stories will he have written
at the end of sixteen months?
Answer:
91 short stories
Step-by-step explanation:
You just add 1 + 2 + 3 + 4 + 5 + 6... all the way to 13, and then at the end of 16 months, Troy still only wrote 91 stories since he only wrote them up until 13 months, and then stopped afterwards.
A company needs two loads of sand to make an indoor beach area for an employee picnic. One load of sand weighs 5 tons and the second load weighs 7,000 pounds. What is the total weight of the sand, in pounds, used for the beach area? *college mathematics*
Answer:
17000 pounds
Step-by-step explanation:
5 tons = 1 load
7000 pounds = 2 load
5*2000 = 10000 pounds
10000 + 7000 = 17000 pounds
Simplify. 1/3(1−1/4)2 Enter your answer, as a simplified fraction, in the box.
Answer:
3/ 16
Step-by-step explanation:
I hope this helps :)
A video game set can be bought on hire purchase by making a deposit of $190 and 12 monthly installments of $171 each. Calculate the hire purchase price cost of the video game set.
Answer:
the purchase price would be $2142
Step-by-step explanation:
90+171×12
2. When a number n is subtracted from 18
and the difference is divided by n, the
result is 2. What is the value of n?
(A) 4
(B) 6
(C) 8
(D) 10
(E) 14
Answer:
e) 14
Step-by-step explanation:
(18-n)/2 = 2
18-n = 4
-n = -14
n = 14
The value of n when n is subtracted from 18 and the difference is divided by n, the result is 2 is 6.
What is Algebra?The representation of mathematical statements as solutions to problems is the focus of the branch of mathematics known as algebra. Mathematical operations like addition, subtraction, multiplication, and division are combined with variables like x, y, and z to produce a meaningful mathematical statement.
Given:
When a number n is subtracted from 18
=(18- n)
and, the difference is divided by n
=(18 - n)/n
so, result is 2
(18 - n)/n = 2
18 - n = 2n
3n = 18
n= 18/3
n= 6
Hence, the value of n is 6.
Learn more about algebra here:
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i need help im timed plzz right anwsers only
Answer:
the second option is correct
16. Natural numbers are closed under division. True or false
Answer:
Step-by-step explanation:
False
First you have to know what a natural number is.
They are all the integers from 1 to infinity.
Naturally they are closed for addition. 3 + 9 = 12. You can make as many examples as you like. You will not get anything outside the natural numbers.
3934859433993393390 + 4 + 22 is still going to give you a natural number.
Subtraction is a different matter.
44 - 100 is not in the natural number system.
Multiplication is OK.
5555 * 44444 still is a member of the natural numbers.
What about division? Remember, all you need is one example that doesn't work to say that the natural numbers aren't closed. Ready. How about
33/83?
Factorize:a^2+2ab+b^2-c^2
Answer:
(a + b)^2 — c^2
(a+b+c) ( a + b — c )
18. What is the least common denominator of the following
fractions? 3/10 and 1/4
Answer:
20
The denominators of 3 /10 and 1 /4 are 10 and 4.
The factors of 10 are 2 × 5 and 2 × 2
Therfore the LCD should have two 2's and one 5.
This means the answer is:
2 × 2 × 5 = 20
I hope this helps :)
Solve for y.
–5(y − 3) − 10 = –6y
y =
Answer:
[tex]y = - 5[/tex]
Step-by-step explanation:
[tex] - 5(y - 3) - 10 = - 6y[/tex]
➡️ [tex] - 5y + 15 - 10 = - 6y[/tex]
➡️ [tex] - 5y + 5 = - 6y[/tex]
➡️ [tex] - 5y + 6y = - 5[/tex]
➡️ [tex]y = - 5[/tex]
SOMEONE WHO LIKES MATHS OR CAN DO IT PLS HELP COZ THIS IS SO CONFUSING:((. do the ones you know !! I’ll brainlist:)
a) c + y = 10 + 11 = 21
b) q + b + r = -14 + (-7) + (-13) =
= -(14 + 7 + 13) = -34
c) 8x + 3z = 8 · 9 + 3 · 4 = 72 + 12 = 84
d) 6a + 5b = 6 · (-1) + 5 · (-3) = -6 - 15 = -21
e) -9y + 2z = -9 · (-5) + 2 · (-7) = 45 - 14 = 31
f) -3t + 4y + s = -3 · 8 + 4 · (-2) + (-2) =
= -24 - 8 - 2 = -(24 + 8 + 2) = -34
g) y² + c = 4² + 7 = 4 · 4 + 7 = 16 + 7 = 23
h) a² + x = (-10)² + (-8) = 100 - 8 = 92
i) b + 2y² = 2 + 2 · 6² = 2 + 2 · 36 =
= 2 + 72 = 74
j) 3y² - 3z = 3 · 6² - 3 · (-7) = 3 · 36 + 21 =
= 108 + 21 = 129
What are the coordinates after a 90 degree clock-wise rotation around the point (1, 4)?
Answer:
Im pretty sure it's (-4,-1)
whats the missing length indicated?!? help!!
Answer:
A) 27
Step-by-step explanation:
[tex] \frac{16}{16 + 12} = \frac{63 - ?}{63} [/tex]
➡️ [tex] \frac{4}{7} = \frac{63-? }{63}[/tex]
➡️ [tex]63 - ? = 36[/tex]
➡️ [tex]? = 27[/tex]
If a*b means 2a + b , then what is 2*5 ?
7
9
12
14
none of these
Answer:
9
Step-by-step explanation:
let a = 2
b = 5
2a + b
Substituting the values,
=> 2(2) + 5
=> 4 + 5
=> 9
Let us consider that a = 2 ; b = 5
So, 2a + b
Substitute,
2a + b
→ 2×2 + 5
→ 4 + 5
→ 9
Hope it helps you...
Answered by Benjemin
Can someone plz help me?
Answer:
c
Step-by-step explanation:
[tex] \frac{1}{6} mile = 1hour \\ \frac{1}{5} mile = xhour \\ \frac{1}{6} x = \frac{1}{5} \\ x = \frac{1}{6} \div \frac{1}{5} \\ \frac{1 }{6} \times \frac{5}{1} = \frac{6}{5} [/tex]
pls mark brainliest