The object will hit the ground after 5.01 seconds.
When an object is propelled upward from ground level with an initial velocity of 80.1 feet per second then its height h in feet t seconds later is giving by the equation,
h= -16t^2+ (80.1)t
When the object hit the ground, the height of the object h would be zero.
To find: time (t) when h = 0
Substitute h = 0 in given equation.
h = -16t^2+ (80.1)t
0 = -16t^2+ (80.1)t
16t^2 - (80.1)t = 0
t (16t - 80.1) = 0
t = 0 or 16t - 80.1 = 0
t = 0 OR t = (80.1)/16
t = 0 OR t = 5.01
Therefore, it will hit the ground after 5.01 seconds.
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Please tell me and tell me the correct answer. No link will acceptable. Check out the image. Need the correct answer.
Answer:
3(a+2) = 3a+6
Step-by-step explanation:
In the expression 3(a+2), 3 distributes into "a" and 2. Therefore, 3(a+2) = 3(a)+3(2) = 3a+6
8. The price of a hoodie on sale increased from $25 to $45. By what percentage was the price of the hoodie increased?
Answer:
44.44%
Step-by-step explanation:
Manchu has drawn a
rectangle with a base of
24 cm and an area of
336 cm². He cuts the
rectangle as shown to make two triangles.
What are the height and area of each
triangle?
Answer:
Height of each triangle: 14cm
Area of each triangle: 168cm²
Step-by-step explanation:
So we know that the base of the area is 24. Lets find the height.
336 ÷ 24 = 14
If he makes two triangles out of the rectangle that just means he cuts it in half.
To find the area of one triangle lets do:
336 ÷ 2 = 168
Let's double check our answer:
(14 × 24) ÷ 2 = 168
Seems great!
Mark got a loan of $77000 which he will complete repayment in
3 years. If the loan is compounded Sem- Annually at 7% per annum, what amount will he repay? (work out?)
Answer:
A = $94652.66
Step-by-step explanation:
Use the compound amount formula A = P(1 + r/n)^(nt), where r is the annual interest rate and n is the number of compounding periods per year.
Here, A = ($77000)(1 + 0.07/2)^(2*3), or
A = $77000(1.035)^6, or
A = $77000(1.229), or
A = $94652.66
Need help ASAP. Question in photo. Will mark brainliest if correct
Answer:
C
Step-by-step explanation:
I did this question today, pls lmk if u get it right
Find the ordered triplet (x,y,z) for the following system of equations: x+3y + 2z = 1, 03x+y+5z=10, -2x-3y+z=7
The ordered triplet (x, y, z) or the following system of equations: x+3y + 2z = 1, 03x+y+5z=10, -2x-3y+z=7 is (-170/127, -89/127, 282/127).
Start with the first equation:
x + 3y + 2z = 1
Isolate x by subtracting 3y and 2z from both sides:
x = 1 - 3y - 2z
Substitute this expression of x into the second equation:
0.3x + y + 5z = 10
Substitute the value of x found in step 2 into this equation:
0.3(1 - 3y - 2z) + y + 5z = 10
0.3 -0.9y -0.6z + y + 5z = 10
0.1y + 4.4z = 9.7
y + 44z = 97
Solve for y by isolating it:
y = 97 - 44z
Substitute this expression of y into the first equation:
x + 3(97 - 44z) + 2z = 1
x + 291 - 132z + 2z = 1
Solve for x:
x = 130z - 290
Substitute this expression of x into the third equation:
-2(130z - 290) - 3(97 - 44z) + z = 7
-260z + 580 - 291 + 132z + z = 7
Solve for z:
127z = 282
z = 282/127
Substitute this value of z into the expression of y:
y = 97 - 44(282/127)
= -89/ 127
Substitute the values of z into the expression of x:
x = 130(282/127) - 290
= - 170/ 127
So the solution of the system of equations is: x = -170/127, y = -89/127, z = 282/127.
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(x - 7)2 + (y + 5)2 = 4
what’s the center and radius
Answer:
(7, - 5 ) and r = 2
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x - 7)² + (y + 5)² = 4 ← is in standard form
with centre = (h, k ) = (7, - 5 ) and r = [tex]\sqrt{4}[/tex] = 2
5 t-shirts and a hat costs £17.00
2 t-shirts and a hat costs £8.00.
How much does a t-shirt cost?
How much does a hat cost?
Answer: A t-shirt costs £3.00x, while a hat costs £2.00
Sorry if it's wrong
Step-by-step explanation:
In the diagram below, transversal t intersects parallel lines I and m.
What is the value of x?
Step-by-step explanation:
x+10=116
x=116-110
=106
x=106
253 x 804 =
Solve by using standard algorithms
Answer:
203412
Step-by-step explanation:
253
*804
___
16
40
32
20
12
______
203412
This is a Vedic Math trick you can use to multiply fast, called the criss-cross method.
can you find the proportion pwease :)
Answer:
15 cookies, 10 brownies.
Step-by-step explanation:
I'm assuming that she is selling the same amount of cookies and brownies per hour. If that is the case...
Multiply it by 5. If 3 cookies were sold in one hour, and there's 5 hours, just multiply 3 by 5. Total number is 15 cookies.
Same goes for brownies. Multiple 2 brownies by 5. That makes 10 brownies.
Amelia made a line plot of her scores on 25-point math quizzes. What is the difference between the total of her most frequent number of points per quiz and the total of her greatest number of points scored per quiz? A. 0 points B. 6 points C. 18 points D. 22 points
Answer:
I think it B.
Step-by-step explanation:
Factor the algebraic expression 24a + 20
Answer:
Step-by-step explanation:
Take the GCF of 24 and 20.
4 (6a+5)
The simplified expression is 4(6a+5).
What is meant by expression?An expression is a sentence with a minimum of two numbers or variables and at least one math operation.
The given algebraic expression is 24a + 20.
By taking 4 as common factor, the expression become like 4(6a + 5).
Hence, 4(a+5) is the simplified expression.
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What are the 3 algorithms?
Sequencing, selection, and iteration are the three fundamental building blocks that make up an algorithm.
What is algorithm?An algorithm in mathematics is a process, a description of a series of steps that can be used to solve a mathematical computation, but they are now much more prevalent than that. The long division algorithm is perhaps the most well-known application of algorithms in science (and in daily life, for that matter).
Algorithms are all about figuring out the most effective ways to perform the math, despite the fact that the above explanation might sound a little fussy and detailed. Mathematicians are known for being lazy, so they frequently seek out shortcuts, as the anonymous mathematician puts it. For locating these short cuts, algorithms are used.
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Mr. McDonald has $500.00 to spend at a bicycle store. All prices listed below include tax. He buys a new bicycle for $273. 98. He buys 3 bicycle reflectors for $7. 23 each and 1 bicycle helmet for 42.36. he plans to use the remaining money to buy new cycling outfits for $78.12 each. Write and solve an inequality to determine the greatest number of cycling outfits that Mr. Mc Donald can buy with the remaining money?
Answer:
(500-338.03)-78.12x
Step-by-step explanation:
so we know that he has 500 dollars on him. he bought a bike for 273.98. then we add that to 7.23 for each bike reflector. he bought 3 so we do 7.23*3, which is 21.69. he also bought a helmet which cost 42.36. now we add the numbers together. 273.98+21.69+42.36=338.03
he has 500 dollars on him. we need to find out how much money he has left. 500-338.03 is 161.97. he has that much money left.
the bike suits 78.12 each. the easy way to solve this is by doing 161.97/78.12.
this comes up as 2.073. rounded is 2. he can only buy 2 suits
the inequality you are looking for is: (500-338.03)-78.12x
how do i answer this question
The constant of variation for the given data is 1/4.
What is the constant of proportionality?If the corresponding elements of two sequences of numbers, frequently experimental data, have a constant ratio, known as the coefficient of proportionality or proportionality constant, then the two sequences of numbers are proportional or directly proportional.
Given that the data in the table is,
x f(x)
-8 -2
-4 -1
0 0
4 1
8 2
The constant of proportionality will be calculated as,
F(x) = kx
-2 = k x -8
k = -2 / -8
k = 1 / 4
Here, the proportionality constant will be 1/4.
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Bru.h I suck at doing this and mostly like DECIMALS I don’t like that- someone pl help me
Answer:
D
Step-by-step explanation:
Answer:
5,006.04
Step-by-step explanation:
Hope it Helps!
:)
Is the area of an equilateral triangle is 9 root 3 cm square then the semi perimeter of the triangle is?
The equilateral triangle has a 9 root 3 cm square area, and its semi-perimeter is 9 cm.
what is triangle ?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric forms. The name given to a triangle with the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
given
area of equilateral triangle = [tex]9\sqrt{3}cm^{2}[/tex]
formula of area of equilateral triangle = [tex]\frac{\sqrt{3}a^{2} }{4} sq.units[/tex]
a = side of triangle
[tex]\frac{\sqrt{3}a^{2} }{4} sq.units[/tex] = [tex]9\sqrt{3}cm^{2}[/tex]
[tex]a^{2} = \frac{4* 9\sqrt{3} }{\sqrt{3} }[/tex]
[tex]a^{2} = 36\\ a = 6 cm[/tex]
since equilateral triangle all sides are equal
perimeter of triangle = 6 + 6 + 6
= 18cm
the semi perimeter of the triangle = 18 /2 = 9 cm
The equilateral triangle has a 9 root 3 cm square area, and its semi-perimeter is 9 cm.
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state if the function is a growth or decay and the factor
y=2x
Answer:
the function shows growth of a factor of 2
Step-by-step explanation:
Please help I have a learning disability and this is due today
Determine whether the two expressions are equivalent. If so, tell what property is applied. If not, explain why.
0 + 32 and 0
yes, it uses the Commutative Property
No they are not equivalent. The first expression is equal to 32, not 0.
yes, it uses the Associative Property
yes, it uses the Identity Property
Answer:
yes, it uses the Commutative Property
Step-by-step explanation:
L) simplify
sin²x ( cot²x + 1 )
Answer: 1.
Step-by-step explanation:
[tex]\displaystyle\\sin^2x(cot^2x+1)=\\\\sin^2x(\frac{cos^2x}{sin^2x}+1)=\\\\\frac{sin^2xcos^2x}{sin^2x}+sin^2x=\\\\cos^2x+sin^2x=\\\\1.[/tex]
Choose Yes or No to tell whether or not the symbol needs to flip when completing this inequality:
- 6w < 21
Answer:
yes ..................
ILL GIVE BRAINLIEST
Answer:
I can't read the question it's too blurry
Given a prime $p$ and an integer $a$, we say that $a$ is a primitive root $\pmod p$ if the set $\{a,a^2,a^3,\ldots,a^{p-1}\}$ contains exactly one element congruent to each of $1,2,3,\ldots,p-1\pmod p$.For example, $2$ is a primitive root $\pmod 5$ because $\{2,2^2,2^3,2^4\}\equiv \{2,4,3,1\}\pmod 5$, and this list contains every residue from $1$ to $4$ exactly once.However, $4$ is not a primitive root $\pmod 5$ because $\{4,4^2,4^3,4^4\}\equiv\{4,1,4,1\}\pmod 5$, and this list does not contain every residue from $1$ to $4$ exactly once.What is the sum of all integers in the set $\{1,2,3,4,5,6\}$ that are primitive roots $\pmod 7$
Only 3 & 5 from the set {1,2,3,4,5,6} are primitive root (mod7), therefore, sum of integers is 3 + 5 = 8.
What is primitive root?A number g is a primitive root modulo n if every number a coprime to n is congruent to a power of g modulo n in modular arithmetic. That is, g is a primitive root modulo n if for every integer a coprime to n, some integer k for which gk ≡ a (mod n).
The index or discrete logarithm of a to the base g modulo n is a value k like this. So, if and only if g is a generator of the multiplicative group of integers modulo n, g is a primitive root modulo n.
In Article 57 of his Disquisitiones Arithmeticae (1801), Gauss defined primitive roots and credited Euler with coining the term.
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which fraction is greater? a)3/18,2/6
Answer:
2/6
Step-by-step explanation:
The LCD of 18 and 6, so when you multiply 2/6, it will be 5/18. So 5/18 is greater than 3/18
Answer:
3/18 is smaller than 2/6
Step-by-step explanation:
What is the greatest possible quotient of any two distinct members of the set $\left\{\frac{2}{5}, \frac{1}{2},5,10\right\}$? Specifically, we wish to maximize $\frac{x}{y}$, where $x$ and $y$ are chosen from the previous set.
The greatest possible quotient of any two distinct members of the set; { 2 / 5, 1 / 2, 5, 10 } as required to be determined is; 25.
What is the maximum possible quotient of any pair of numbers from the set?It is evident from the task content that the set from which the two numbers whose quotient is to be maximised is; { 2 / 5, 1 / 2, 5, 10 }.
On this note, since the quotient which is to be maximised is hypothetically; x / y;
Therefore, in a bid to maximize the result of the quotient; it follows that the numerator, x must be as great as possible and the denominator, y must be as less as possible.
On this note, since the maximum number in the set is 10 and the minimum is 2 / 5; we have that;
10 / (2 / 5)
= ( 10 × 5 ) / 2
= 25.
Ultimately, it can be inferred that the greatest possible quotient as required is; 25.
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Pls help me to do this
Answer:
1. 2 more children
2. 13 centimeters
3. Can't determine without ruler
Step-by-step explanation:
1. 5-3 = 2
2. 22-9 = 13
PLS FIND X ASAP PLS PLS
Answer:
1- the figure doesn't provide enough information from what I'm aware of
2- x= 17.78
3- x=12
4- x=19
Step-by-step explanation:
Need help answering this question!!!!
Please help me answer this math question !
Answer:
y=-3x+6
Step-by-step explanation: