The time which it will take for the ball to hit the ground after bring thrown from a height of 40 meters as described in the task content is; 2.37 seconds.
How long will it take for the ball thrown to hit the ground after being thrown from a height of 40meters?It follows from the task content that the equation given for the height, h in meters of the ball thrown is;
h = 40 - 5t - 5t²
Therefore, when the ball hits the ground, the height at this point is; 0.
0 = 40 - 5t - 5t²
Divide through by -5 so that we have;
t² + t - 40 = 0.
Hence, by solving using the quadratic formula; the values of t are;
t = 2.37 sec or -3.37 sec.
Ultimately, since the time taken can only have a positive value, it follows that the time taken by the ball to hit the from the 40 meters height is; t = 2.37.
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Find the equation of a line using y = mx + b given the slope is 2 and the y-intercept is (0,2).
Answer:
y=2x+2
Step-by-step explanation:
y=mx+b where:
m=slope; b=y intercept
Therefore, simply plug in values for (m) and (b)
(m=2); (b=2)
and you're left with the equation (y=2x+2)
A cube has edge length 3 inches what is its volume?
Answer:
So a cube has all the same edge lengths and since the cube has an edge length of 3
you would just do:
3•3•3
Which is 27
Dionne pays a fixed fee plus an hourly rate to rent a boat. The table below shows how much Dionne paid for the boat. Write an equation in slope intercept form to represent the relationship.
The equation in slope intercept form to represent the relationship is y = 12x + 15
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The standard equation of a line is:
y = mx + b
Where m is the slope (rate of change) and b is the initial value of y.
Let y represent the total amount paid for renting a boat for x hours.
From the table, using the points (1, 27) and (3, 51):
The equation of the line is given as:
y - 27 = [(51 - 27)/(3 - 1)](x - 1)
y = 12x + 15
The equation in slope intercept form to represent the relationship is y = 12x + 15
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5t+13x(131x+414) = 1008
Answer:
t=
1008−13x(131x+414)
___________________
5
Step-by-step explanation:
Answer:
1008
Step-by-step explanation:
Nineteen marbles are shared between some children.
Each child receives six marbles and there is one marble left over.
How many children share the marbles
TELEVISION The screen of a standard television has a width to height ratio of 4:3.
Which proportion(s) can be used to find the height of a standard television screen with a width of 15 inches?
Select all that apply.
A) h/15=3/4
B) h/15=4/3
C) 15/h=3/4
D) 15/h=4/3
E) 3/15=4/h
F) 4/15=3/h
For a standard television of width 15 inches the correct options are
A. h/15=3/4, D) 15/h=4/3 and F) 4/15=3/h.
What is ratio ?Ratio is comparison between two or more quantities in simplest form.
The ratio of screen has a width to height ratio of 4:3.
We know a:b can be written as a/b.
∴ width:height = 4:3 can be written as (width/height) = (4/3).
So, Width = (4/3)height or Height = (3/4)width.
Given the height of a standard television is 15 inches.
So, 15 = (4/3)h or h/15=3/4 or 15/h=4/3 or 4/15=3/h.
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Which statement is false?
The statement " Every integer is also a n irrational number" is false
Given,
The statement a
"Every integer is also a real number"
We know every integer is also is also a real number so the statement is true
Statement b
"Every irrational number is also a real number "
We know every irrational number is real number so the statement is true
Statement c
"Every integer is also an irrational number"
We know every integer is rational number but every integer is not irrational number so the statement is false
Statement d
"No irrational number is rational"
We know no irrational number is rational number so the statement is true
Hence, The statement " Every integer is also a n irrational number" is false
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theo needs 1 1/2 cups of flour for one recipe and 2 3/4 cups of flour for a second recipe. Theo only has a 1/4 cup measuring cup. How many times will theo need to fill the 1/4 cup measuring cup to measure the flour he needs for the two recipes?
17 times theo will need to measure the flour for both the recipes.
WHAT IS BODMAS ?Children can use the acronym BODMAS to help them remember the right order to carry out mathematical operations while solving problems. B-Brackets, O-Orders (powers/exponents or roots), D-Division, M-Multiplication, A-Addition, and S-Subtraction are all abbreviated as BODMAS.
The order of operations (or operator precedence) in mathematics and computer programming refers to a set of rules that represent standards for which operations to carry out first in order to evaluate a specific mathematical expression. For instance, since the advent of contemporary algebraic notation, multiplication has been given a higher priority than addition in mathematics and most computer languages.
As a result, 1 + (2 3) = 7 rather than 1 + (2 3) = 9 is the value assigned to the expression 1 + 2 3. Exponents were first used in the 16th and 17th centuries, when addition and multiplication were given priority. Exponents could only be used as a superscript to the right of their base. Consequently, 3 + 52 = 28 and 3 52 = 75.
CALCULATIONfirst add the total amount of flour =
= [tex]1\frac{1}{2} + 2\frac{3}{4}[/tex]
= 1.5 + 2.75
= 4.25
no. of times = 4.25 * 4/1 = 17 times
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: two six-sided dice are thrown. the numbers on the dice determine which player gets a point. player 1 gets a point if the product of the numbers on the dice is even. player 2 gets a point if the product is odd.
Both games A as well as B are unfair.
For the game to be fair, both players have to have equal possibilities of prevailing the sport.For sport A.player 1 gets a factor if the made from the numbers at the cube is even. player 2 receives a factor if the product is extraordinary.The fabricated from the numbers at the dice is even if:(i) both the numbers are even.(ii) one of the numbers is extraordinary and the other is even.The product of the numbers within the dice is ordinary simplest when each the numbers are unusual.hence, game A favours player 1.For game B.player 1 receives a point if the sum of the numbers on the cube is even. participant 2 receives a factor if the sum is bizarre.The sum of the numbers at the cube is even when:(i) each the numbers are even.(ii) both the numbers are bizarre.The sum of the numbers in the dice is odd only when one of the numbers is even and the alternative is unusual.subsequently, sport B favours player 1.accordingly, both games favour player 1 and are unfair.To learn more about probability, visit :
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While shopping kyla found a dress that she would like to purchase but it cost $52.25 mor3 than she has
Kyla should babysit for 9.5 hours to buy the dress.
Double number line represents the comparison of numbers by representing them in equal ratio. The required double number line for the question is attached as figure.
The row I indicates the amount earned and row II indicates the number of hours Kyla should babysit. As is evident from the double number line, the average of last two amounts is the amount required by Kyla. Calculations are as follows -
Required amount = (49.5 + 55)/2
Required amount = 52.25
Now, the time between last two columns of row II will also be taken as average for calculation. So, time required to earn 52.25 after earning 49.5: (9 + 10)/2
Time = 0.5
Total time required to babysit = 9 + 0.5
Total time = 9.5 hours
Thus, Kyla should babysit for 9.5 hours to buy the dress.
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The complete question is -
While shopping, Kyla found a dress that she would really like, but it cost $52.25 more than she has. Kyla charges $5.50 an hour for babysitting. She wants to figure out how many hours she must babysit $52.25 to buy the dress. Use a double number line to support your answer.
Trisha and her three sisters to decide to purchase their mom a Christmas
gift. They decide that everyone will contribute an equal amount, up to
$60 per person. Write an inequality to find how much money the sisters
will spend on their mom for Christmas?
Are these repeating or terminal?
Answer:-5 1/3 is repeating and 1 1/4 is terminal
Step-by-step explanation:
Answer: Terminal
Step-by-step explanation: yw :)
plastic parts produced by an injection-molding operation are checked for conformance to specifications. each tool contains 12 cavities in which parts are produced, and these parts fall into a conveyor when the press opens. an inspector chooses 3 parts from among the 12 at random. two cavities are affected by a temperature malfunction that results in parts that do not conform to specifications.
The probability that the inspector finds exactly one nonconforming part is 0.4091.
What is combination?Combination is a selection of items from a collection in which the order of selection is irrelevant. Probability is defined as the ratio of favorable outcomes to total outcomes.
Now, according to the question;
Let X represent the event in which the inspector discovers a nonconforming part.
An inspector selects three parts at random from among the twelve, and two cavities have been affected by a temperature malfunction, resulting in parts that do not meet specifications.
The total number of ways to select three parts from a total of twelve is ¹²C₃ = 220.
The number of possible ways for an inspector to identify just one defective part is:
²C₁×¹⁰C₂ = 2×45
²C₁×¹⁰C₂ = 90
The likelihood that the inspector will discover exactly one nonconforming part is provided by:
P (x=1) = (²C₁×¹⁰C₂)/¹²C₃
= 99/220
P (x=1) = 0.4091
The inspector has a 0.4091 chance of finding exactly one nonconforming part.
Now, the probability that inspector finds no nonconforming parts is given by:
P (x=0) = ¹⁰C₃×¹²C₃
= 120/220
P (x=0) = 0.5455
Therefore, the inspector has a 0.5455 chance of finding exactly none nonconforming part.
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The complete question is-
Plastic parts produced by an injection-molding operation are checked for conformance to specifications. Each tool contains 12 cavities in which parts are produced, and these parts fall into a conveyor when the press opens. An inspector chooses 3 parts from among the 12 at random. Two cavities are affected by a temperature malfunction that results in parts that do not conform to specifications. what is the probability that the inspector finds exactly one nonconforming part?
Someone please help me
Graphing the linear functions, it is found that they will have the same height after 5 hours, of 21 inches.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.For each function in this problem, we have that:
The initial height is the intercept.The melting rate is the slope.Hence the functions are given as follows:
A(t) = 51 - 6t.B(t) = 36 - 3t.The functions are graphed at the end of the answer, with A(t) in blue and B(t) in black. The intersection of the graphs is at (5,21), which means that they will have the same height after 5 hours, of 21 inches.
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Joe has some pocket money. He spends three-quarters of it. He has fifty pence left. How much pocket money did he have
Answer:
He started with 1.25
Step-by-step explanation:
Joe started with 1.25 if he spends 3 quarters of that which is equal to .75 hell have .50 left
1.25-.75=.50
ABC and QRS are supplementary angels.
If the measure of ABC = 91. What is the measure of QRS?
Answer:A normal QRS complex measures 0.06 to 0.12 seconds which is 1.5 to 3 small boxes on the EKG strip. When you measure the QRS complex you start by measuring at the END of the PR interval to the END of S-wave.
Step-by-step explanation:
(c) Add: 1010112+110102
A quarter back is sacked for a loss of 4 yards. On the next play, his team loses 10 yards. Then the the team gains 12 yards on the third play
Answer:
Kindly check explanation
Step-by-step explanation:
Given the question:
Play 1: Quarterback was sacked for a loss of 4 yards
Play 2 : Another loss of 10 yards
Play 3: a gain of 12 yards
Write an addition expression to represent the situation. Then find the sum and explain its meaning.
A loss of 4 yards = - 4
Loss of 10 yards = - 10
Gain of 12 yards = + 12
Addition expression for the scenario :
(-4) + (-10) + 12
Result :
-4 + (-10) + 12
= - 4 - 10 + 12
= - 14 + 12
= - 2
Hence, after two consecutive losses of 4 and 10 yards, the team wins 12 yards on the third play and the aggregate yards lost is reduced to 2 yards.
Solve for b2. A=1/2h(b1+b2)
A = \frac{hb_{1} }{2} + \frac{hb_{2} }{2} is the solution of this linear equation.
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.Apply the distributive property.
A = [tex]\frac{1}{2} . ( hb_{1} + hb_{2} )[/tex]
Apply the distributive property
A = [tex]\frac{1}{2} ( hb_{1} ) + \frac{1}{2} hb_{2}[/tex]
Multiply [tex]\frac{1}{2}( hb_{1} )[/tex]
combine h and 1/2
A =[tex]\frac{h}{2} b_{1} + \frac{1}{2} ( hb_{2} )[/tex]
[tex]A = \frac{hb_{1} }{2} + \frac{hb_{2} }{2}[/tex]
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Julio are you drawing a map of humid. The actual payment has a base of 3000 feet and a height of 1200 feet. Julio needs his drawing to sit on his papers, and he decides to make the base of his triangle 10 inches.
The height of the drawing is 4 inches.
What is the height?A scale drawing is a reduced form in terms of dimensions of an original image / building / object. The scale drawing is usually reduced at a constant dimension
Scale of the drawing = original dimensions / dimensions of the scale drawing
The first step is to determine the scale of the drawing : 3000 / 10 = 300 feet : 1 inch
The second step is to determine the height of the drawing in the map: 1200 / 300 = 4 inches
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Here is the complete question:
Julio are you drawing a map of humid. The actual payment has a base of 3000 feet and a height of 1200 feet. Julio needs his drawing to sit on his papers, and he decides to make the base of his triangle 10 inches. What is the height of the humid in Julio's drawing?
Simplify.
H+
1 to the power of 1/4
Answer:
noooo
Step-by-step explanation:
Order the following fractions from greatest to least 3/4 4/6 4/8
Answer:
4/8, 4/6, 3/4
Step-by-step explanation:
3/4 = 18/24
4/6 = 16/24
4/8 = 12/24
18>16>12
Evaluate each side of the equation to determine if the statement is true
If it is true, then type the word true
If it is false, then type the word false.
3 (22 - 4y) + 4 = 6 (2 - 2y) + 2 - 2
g(x)=5/x,x≠0
h(x)=x²-2
find the compositions g*g and h*h
Answer:
hope you like my answer .
Step-by-step explanation:
g(g(x)) mean g of g of x
and same for h
Find the value of k in the data set so that f(x) is a linear function.
x = {-7, -2, 2, 5}
f(x) = {-15, k, 3, 9}
In order for f(x) to be a linear function, determine the value of k in the data set.
x = {-7, -2, 2, 5}
f(x) = {-15, k, 3, 9}
The value of k is {-5}.
Given that to find the value of k in the data set such that the data set represents a linear function.
Linear Function is a straight line on the coordinate plane is represented by a linear function. The formula for a linear function is f(x) = mx + b, where m and b are real values.
Here, f(x) or y is the dependent variable, m is a slope of the line, x is the independent variable and b is the y-intercept.
Here,(x,f(x)) are {(-7,-15),(-2,k),(2,3),(5,9)}
The slope of the function,
(x, f(x)) = (2,3) and (5,9)
Slope formula is m=[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].
Slope m= [tex]\frac{9-3 }{5-2}[/tex]
Slope m=[tex]\frac{6}{3}[/tex]
Slope m=2.
Using the point slope form, determine the linear function's equation.
[tex]y-y_{1} =m(x-x_{1})[/tex]
Here, [tex](x_{1},y_{1})=(-7,-15)[/tex] and m=2
We get
y + 15 = 2 (x + 7)
y = 2x - 1
Now at x = -2 and f(x) = k
k = 2(-2) - 1
k = -4-1
k=-5
Therefore, the value of k is -5.
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The Sugar Sweet Company is going to transport its sugar to market. It will cost $3500 to rent trucks plus $225 for each ton of sugar transported. The total cost, C (in dollars), for transporting N tons is given by the following function. C(n)=3500+225n)
Answer:to answer this question you have to look at what the relationship is between tones of sugar and the equation C(n) = 6,500 + 225n. The question gave you a hint in parenthesis in the form of (n) tons. This statement means that the amount of sugar is n so for question 1 the 13 tons is the n value.
Q1:
C(13) = 6,500 + 225*13
C(13) = 6,500 + 2,925
C(13) = 9,425
so what does the 9,425 mean? This is the cost to transport 13 tons of sugar.
Q2:
so this part n is unknown and we are given the C(n) number.
11,450 = 6,500 + 225n
subtract the 6500 from both sides
11,450 - 6,500 = 225n
evaluate
4,950 = 225n
I don't like the n on the right side so I am going to rewrite the equation
225n = 4,950
divide by 225
n = 4,950/225
evaluate
n = 22
So this result means that the company would transport 22 tones of sugar.
Have a great day!
Step-by-step explanation:
in class, we proved that the number of ways of tiling a $1 \times n$ rectangle with $1 \times 1$ and $1 \times 2$ tiles is $f {n 1}.$ (a) use a tiling argument to give a combinatorial proof that \[f 1 f 2 f 3 \dots f n
Here is a straightforward recursion you may employ to calculate the value.
let's use rectangles with integer aspects to represent the quantity of tilings of a $2 instances n$ rectangle as $T(n)$. There are $22n-2$ techniques to accomplish this if no rectangles of height $2$ are hired, wherein case we lessen to two wonderful times of the $1 times n$ state of affairs. If no longer, we set a situation based at the top-proper rectangle's $2 height. With the preliminary conditions $T(0)=1$ and $T(1)=2$, this results in $$T(n)=22n-2+sum k=0n-1 T(okay)+sum 0leq k ell leq n-1T(ok)22(n-ell-1)$. The center term inside the recursion corresponds to the case where the rightmost rectangle of top $2$ is absolutely the rightmost rectangle inside the tiling.It should be noted that the formula $2n-1$ for the $1 times n$ case is incorrect if $n=0$.
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HELPPPPPPPPP PLS ASAP
Answer:
I'm pretty sure its A
Step-by-step explanation:
square root of 6 is 2.44948974278 and A is around 2.4
Rosario and Enrique are in the same mathematics class. On the first five tests, Rosario received scores of 78, 77, 64, 86, and 70. Enrique received scores of 90, 61, 79, 73, and 87. How much higher was Enrique's average than Rosario's average?
Answer:
3
Step-by-step explanation:
Rosario: (78+77+64+86+70)/5=75
Enrique: (90+61+79+73+87)/5=78
3
if my new price is 54 and my old price was 68 what is the difference between my new and old price
Answer:13
Step-by-step explanation:
68-54=14
14-1=13