Answer:
[tex]t = 2.57[/tex]
Step-by-step explanation:
Given
[tex]h=-16t^2+12t+75[/tex]
Required
Determine the time to hit the ground
The ground is at point 0.
So, to solve this; we simply set [tex]h =0[/tex], then calculate the value of t
[tex]0=-16t^2+12t+75[/tex]
Multiply through by -1
[tex]0=16t^2-12t-75[/tex]
Reorder
[tex]16t^2-12t-75 = 0[/tex]
Solve using quadratic formula:
[tex]t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]
Where
[tex]a = 16; b = -12; c = -75[/tex]
[tex]t = \frac{-(-12)\±\sqrt{(-12)^2 - 4*16*(-75)}}{2*16}[/tex]
[tex]t = \frac{12\±\sqrt{144 +4800}}{32}[/tex]
[tex]t = \frac{12\±\sqrt{4944}}{32}[/tex]
[tex]t = \frac{12\±70.31}{32}[/tex]
Split:
[tex]t = \frac{12+70.31}{32}[/tex] or [tex]t = \frac{12-70.31}{32}[/tex]
[tex]t = \frac{82.31}{32}[/tex] or [tex]t = \frac{-58.31}{32}[/tex]
But time (t) can't be negative;
So, we make use of only
[tex]t = \frac{82.31}{32}[/tex]
[tex]t = 2.57[/tex]
Hence, the time to hit the ground is 2.57 seconds
Solve for x: 8(3x-6)=6(4x+8)
Answer: there are no values of x that make the equation true .
So the answer is there is: No solution
Step-by-step explanation:
He width of a rectangular postcard is 4 inches and the diagonal is 7.6 inches long. What is the length of the postcard? Round your answer to the nearest hundredth.
Answer:
Adjacent = x = length = 6.46 inches
Step-by-step explanation:
Given the width and diagonal of a rectangular postcard,
Find the length using Pythagoras theorem
Hypotenuse ² = opposite ² + adjacent ²
Hypotenuse = 7.6 inches
Opposite = 4 inches
Adjacent = x
Hypotenuse ² = opposite ² + adjacent ²
7.6² = 4² + x²
57.76 = 16 + x²
subtract 16 from both sides
57.76 - 16 = x²
41.76 = x²
Find the square root of both sides
x = √ 41.76
= 6.46
x = 6.46 inches
Adjacent = x = length = 6.46 inches
pls help me is this right red devil is killing me
Will give brainiest for the correct answer! please!
Answer:
A
Step-by-step explanation:
it's has 1 sulotion hope this helps
In order to add or subtract matrices, what requirement must the matrices have?
Answer:
The must have the same dimension
Step-by-step explanation:
Two matrice may be added or subtracted only if they have the same dimension; that is, they must have the same number of rows and columns.
When we add 2 matrices the matrices should be of the same size and same dimension
A matrix is referred to as the collection of numbers or variables arranged in a set of rows and columns, where each number or variable is referred to as an "element".
In order to perform addition or subtraction on matrices, they must be of the same size and dimension ie. two matrices must have an equal number of rows and columns. Simply add or subtract the numbers in each corresponding position of the first matrix with the number in the same position of the second matrix. The sum of two matrices A and B will be a matrix that has the same number of rows and columns as A and B. The sum of A and B denoted A + B, is computed by adding corresponding elements of A and B
A=[tex]\left[\begin{array}{ccc}a1&a2\\a3&a4\end{array}\right][/tex] B=[tex]\left[\begin{array}{ccc}b1&b2\\b3&b4\end{array}\right][/tex]
A+B=[tex]\left[\begin{array}{ccc}a1+b1&a2+b2\\a3+b3&a4+a5\end{array}\right][/tex]
To learn more about Matrices
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please answer quick and no the answer isn’t 15
Answer:
107
Step-by-step explanation:
The two angles would make a linear pair, which means they're supplementary to each other. Supplementary angles add up to 180.
This allows us to do 180 - 73 = 107
x would be 107.
Rearrange the formula
Help pls !!
Find 20 rational numbers between 2/7 and 5/9.
pls ans. very much needed
Answer:
0.31, 0.32, 0.33, 0.34, 0.35, 0.36, 0.37, 0.38, 0.39, 0.4, 0.41, 0.42, 0.43, 0.44, 0,45, 0.46, 0.47, 0.48, 0.49, 0.5
Step-by-step explanation:
PLS GIVE BRAINLIEST
describe a real-world situation that models the multiplication expression 20(-1).
Basically you can write taking from something or using something 20 times. Here are three examples.
You borrowed 1 dollar from someone 20 times. You descend 1 meter at a time (like a submarine).There are 20 candies in the jar. Each day you eat 1 candy.Answer to this please?
Answer:
D) 117
Step-by-step explanation:
All angles of a triangle will always add up to 180 degrees. Thus, 22 + 41 = 63, 180 - 63 = 117.
1 1/9 x 3 5/10
Please educate me this basic knowledge because I’m so stupif
Find the slope of the line that goes through the points (5,11) and (13,9).
Answer:
-1/4
Step-by-step explanation:
using y2-y1/x2-x1, you can get 9-11/13-5, -2/8, which gives you a slope of m=-1/4
Solve the literal equation
X= (a+b+c)/(ab)
for a.
Answer:
a = (b + c)/(bx - 1)Step-by-step explanation:
Given
x= (a+b+c)/(ab)Solving for a
x = (a + b+ c)/(ab)abx = a + b+ cabx - a = b + ca(bx - 1) = b + ca = (b + c)/(bx - 1)Destiny paid $9.60 for a dozen donuts. What is the unit cost for each donut?
Answer:
$0.8
Step-by-step explanation:
dozen=12
$3.60=12 donuts
$3.60/12= 0.8
$0.8
What are the negative and positive coterminal angles of 240 degrees?
The negative and positive coterminal angles of 240 degrees will be -120 negative and 600 positive.
What are coterminal angles?Two different angles that have identical starting and ending edges are termed coterminal angles however since one angle is measured clockwise and the other is determined counterclockwise, the angles' terminal sides have completed distinct entire rotations.
We have to find the coterminal angles of 240 degrees
Coterminal angles are those whose initial and terminal sides coincide. Depending on whether the given angle is in degrees or radians, adding or subtracting 360° or 2 from each angle yields the coterminal angles. There are countless coterminal angles that can be discovered.
Thus, the negative and positive coterminal angles of 240 degrees will be -120 negative and 600 positive.
Learn more about the coterminal angles here:
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Point \blue{A}Astart color #6495ed, A, end color #6495ed is at \blue{(-2, -7)}(−2,−7)start color #6495ed, left parenthesis, minus, 2, comma, minus, 7, right parenthesis, end color #6495ed and point \purple{M}Mstart color #9d38bd, M, end color #9d38bd is at \purple{(2.5, -1.5)}(2.5,−1.5)start color #9d38bd, left parenthesis, 2, point, 5, comma, minus, 1, point, 5, right parenthesis, end color #9d38bd.
Point \purple{M}Mstart color #9d38bd, M, end color #9d38bd is the midpoint of point \blue{A}Astart color #6495ed, A, end color #6495ed and point \green{B}Bstart color #28ae7b, B, end color #28ae7b.
What are the coordinates of point \green{B}Bstart color #28ae7b, B, end color #28ae7b?
Answer:
(7,4)
Step-by-step explanation:
The midpoint formula is expressed as:
M(X, Y) = {(x2+x1)/2, (y2+y1)/2
Given the coordinates of the midpoint
M(2.5, -1.5)
Endpoint A(-2, -7)
Required
Endpoint B
From the formula;
X = x2+x1/2
Given
X = 2.5, x1 = -2
Get x2
2.5 = -2+x2/2
5 = -2+x2
x2 = 5+2
x2 = 7
Also
Y = y2+y1/2
-1.5 = -7+y2/2
-3 =-7+y2
y2 = -3+7
y2 = 4
Hence the coordinate of the endpoint B (x2,y2) is (7,4)
Answer:
(0,0.5)
Step-by-step explanation:
Trust me, it's from Khan Academy
#30 PLEASE HELP!! DUE SOON :(
Answer:
Step-by-step explanation:
Use this to help; starting out, this is coordinate plain, NOT TO SCALE.
Use the coordinates to figure out midpoints. If you don't know how to, look up the calculation method for it.
Sorry I couldn't help out more, gotta get back to essay.
A and b are similar shapes the area of shap a is 200cm
A carpenter has 183 doorknobs in his workshop. Of those doorknobs, 95 are round and the rest are square. If he wants to place 9 square doorknobs in each bin, about how many bins would he need? The carpenter will need about bins.
Answer:
10 bins needed approximately
Step-by-step explanation:
Total door knobs = 183
Round door knobs = 95
Square door knobs = x
Total door knobs = Round door knobs + Square door knobs
183 = 95 + x
183 - 95 = x
88 = x
Square door knobs = x = 88
If he wants to place 9 square doorknobs in each bin, about how many bins would he need?
Divide total square knobs by square knobs in each bin
Total bins needed = Total square knobs / knobs in each bin
= 88 / 9
= 9.78
Approximately 10 to the nearest number of bins
Bins needed is approximately 10
If 3x - 6 = 21, what is the value of x - 2 ?
The value of x - 2 in the equation 3x - 6 = 21 is 7.
What is an equation ?An equation is comparing two equal quantities in different form.Equations can be of many types like algebraic equation, logarithmic equation,trigonometric equations, exponential equations.We can also graph this equations in 2 dimensional and 3 dimensional plane.
According to the question given an equation 3x - 6 = 21 first we have to solve for x or find the value of x.
∴ 3x - 6 = 21.
3x = 21 + 6.
3x = 27.
x = 27/3.
x = 9.
So, the value of (x-2) will be (9-2) = 7.
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What is the value of x?
Answer:
x = 18
These two angles are formed by a transversal that cuts through 2 parallel lines. This means that (5x + 2) on line m corresponds to the angle on the right of (5x-2) on line n.
Now that we can see (5x + 2) and (5x - 2) are on a straight line, we can say that (5x + 2) + (5x - 2) = 180
10x + 0 = 180
10x = 180
x = 180/10
x = 18
Sherry's age is nine less than six times Fred's age. Write an equation and find Sherry's
age if Fred is 10 years old.
PLEASE HELP I ONLY HAVE 17 MORE MINUTES!!!!
Answer:
A. 6
Step-by-step explanation:
6/1 = 6
(do not round the answer)what is
A. 3.48g+8.62=29.37
Answer:
The answer is 5.9626436782
Determinar que Recipiente tiene mayor densidad; el recipiente A pesa 1.2 toneladas y tiene un volumen de 120 m³ mientras que el recipiente B pesa 2.4 toneladas y tiene un volumen de 240 m³. ¿Cuál recipiente tiene mayor densidad?
Answer:
Ambos recipientes tienen la misma densidad, es decir, 10 kilogramos por metros cúbicos.
Step-by-step explanation:
Recordamos que la densidad de un material uniforme ([tex]\rho[/tex]), medido en kilogramos por metro cúbico, está definido por:
[tex]\rho = \frac{m}{V}[/tex] (1)
Donde:
[tex]m[/tex] - Masa, medido en kilogramos.
[tex]V[/tex] - Volumen, medido en metros cúbicos.
Ahora calculamos la densidad de cada recipiente:
Recipiente A ([tex]m =1200\,kg[/tex], [tex]V = 120\,m^{3}[/tex])
[tex]\rho = \frac{1200\,kg}{120\,m^{3}}[/tex]
[tex]\rho = 10\,\frac{kg}{m^{3}}[/tex]
El recipiente A tiene una densidad de 10 kilogramos por metro cúbico.
Recipiente B ([tex]m = 2400\,kg[/tex], [tex]V = 240\,m^{3}[/tex])
[tex]\rho = \frac{2400\,kg}{240\,m^{3}}[/tex]
[tex]\rho = 10\,\frac{kg}{m^{3}}[/tex]
El recipiente B tiene una densidad de 10 kilogramos por metro cúbico.
Ambos recipientes tienen la misma densidad, es decir, 10 kilogramos por metros cúbicos.
what is 358.21 rounded to the nearest hundreth?
Answer:
358.2
Step-by-step explanation:
thats the answer because .21=.2
u+(−5)=−15 What do do to the negative 5 if its ib parentheses
Answer:
u = -10
Step-by-step explanation:
u + (−5) = −15
u − 5 = −15 distributive multiplication, think of it like 1 * -5 = -5
u = -10 add 5 to both sides of equality
a hot air ballon is rising at a constant rate. the relationship between its height above the ground and the time since it left the ground is shown in the following graph
Answer:
C
Step-by-step explanation:
Khan academy .-.
To anyone reading this HAVE A GOOD DAY
Answer:
Thank you!
Step-by-step explanation:
I hope you have a good day as well :D
Answer:
Thank you :)
Step-by-step explanation:
Choose the correct answer below for the following problem:
(‒489) + (‒764) =
A.
‒1,253
B.
275
C.
1,253
D.
‒275
Step-by-step explanation Answer:
A -1253
-489-764 = -1253