Lindsey is a member of the swim team at a local university. She has been working hard to perfect her dive for an upcoming swim meet. Lindsey's dive can be modeled by the quadratic equation y = – 16x2 + 33x + 45, where x is time in seconds, and y is Lindsey's height in the air in feet.
Answer:
There is no actual question here, this is just a statement.
re-read the question .... i assume it says "what is the highest that she will get during a dive?"
highest point is at t = 33/32
– 16(33/32)^2 + 33(33/32) + 4 =
62.015625
Step-by-step explanation:
Lindsey will be 30 feet in the air at approximately 1.09 seconds and 2.48 seconds.
To find the time at which Lindsey will be 30 feet in the air, we need to solve the quadratic equation y = -16x² + 33x + 45 for x when y = 30.
Setting y equal to 30, we have:
30 = -16x² + 33x + 45
Rearranging the equation, we have:
16x² - 33x - 15 = 0
To solve this quadratic equation, we can factor or use the quadratic formula. In this case, factoring might be more challenging, so we'll use the quadratic formula:
x = (-b ± √(b² - 4ac)) / (2a)
Plugging in the values from our equation, we have:
x = (-(-33) ± √((-33)² - 4(16)(-15))) / (2(16))
Simplifying, we get:
x = (33 ± √(1089 + 960)) / 32
x = (33 ± √(2049)) / 32
Calculating the square root of 2049, we have:
x = (33 ± √(2049)) / 32
x ≈ 1.09 or x ≈ 2.48
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Complete question is:
Lindsey is a member of the swim team at a local university. She has been working hard to perfect her dive for an upcoming swim meet. Lindsey's dive can be modeled by the quadratic equation y = – 16x² + 33x + 45, where x is time in seconds, and y is Lindsey's height in the air in feet.
At what time will Lindsey be 30 feet in air?
find the percent of soccer and cross country kids in the fall
Peter owned a juice shop. He sold a cup of lemon juice for $1.25 and a cup of apple juice for $2.50. If Peter sold a total of 155 cups of juice and collected a total of $256 approximately, how many cups of each type did he sell?
The number of cup of lemon juice is 105 cups and number of cup of apple juice is 50 cups.
What is a system of equation?A system of equations is a set or collection of equations that you deal with all together at once. For a system to have a unique solution, the number of equations must equal the number of unknowns.
For the given situation,
Peter sold a cup of lemon juice = $1.25
Peter sold a cup of apple juice = $2.50
Total number of cups sold = 155 cups
Total amount = $256
Let number of cup of lemon juice be x and
let number of cup of apple juice be y
The equations for the above statements are
[tex]x + y = 155 ------- (1)\\1.25x +2.50y = 256 ------- (2)[/tex]
From equation 1,
⇒ [tex]x=155-y[/tex]
Now substitute x in equation 2,
⇒ [tex]1.25(155-y)+2.50y=256[/tex]
⇒ [tex]193.75-1.25y+2.50y=256[/tex]
⇒ [tex]1.25y=256-193.75[/tex]
⇒ [tex]1.25y=62.25\\[/tex]
⇒ [tex]y=\frac{62.25}{1.25}[/tex]
⇒ [tex]y=49.8[/tex] ≈ [tex]50[/tex]
Now substitute y in equation 1,
⇒ [tex]x=155-50[/tex]
⇒ [tex]x=105[/tex]
Hence we can conclude that the number of cup of lemon juice is 105 cups and number of cup of apple juice is 50 cups.
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is it possible for a triangle to have an 80 degree angle and 105 degree angle? How do you know?
Answer:
Not possible.
Step-by-step explanation:
The sum of all 3 angles in a triangle is 180°. With the 80° and 105°, those add up to a total of 185°. This is bigger than can be with a given triangle. Therefore, a triangle with an 80° angle and a 105° angle is not possible.
Answer:
No it isn't possible
Step-by-step explanation:
sum of three angles of any triangle is 180 degrees.
so, as per Given question sum of only two angles exceeds 180 degrees which is " 80+105= 185" so it's not possible.. Hope this answer helps you
Player 1 starts with $10. Suppose that Player 1 gives $2 to Player 2. How much money will Player 2 get?
$0
$2
$6
Answer:
$2
Step-by-step explanation:
If Player 1 gives $2 to player 2, then player 2 would have $2 and player 1 would have $8
A boy bought an article for £9. He spent £4
repairing it and sold it for £18. Calculate the gain
percent on his total costs. (to nearest %)
Help
Answer:
Profit % = 39%
Step-by-step explanation:
Cost price of the article = 9
Price for repairing = 4
Therefore, Total cost of the article = 9 + 4 = 13
Selling price of the article = 18
Profit = 18 - 13 = 5
Hence,
[tex]Profit \% = \frac{Profit}{Cost \ price} \times 100\\\\[/tex]
[tex]= \frac{5}{13} \times 100\\\\=38.46 \%\\\\=38.5 \%[/tex]
Profit percent (to the nearest %) = 39%
which statement proves that polygon ABCD is not a rectangle
Answer:
ummm u did not add the statements to the question
Step-by-step explanation:
but a polygon ABCD might not be a rectangle if:
opposite sides of polygon ABCD are not of equal lengthsall angles of the polygon may not be right angles (90°)opposite sides may not be parallelCircumference of a circle with a diameter of 15 inches.
Answer:
Cir = d[tex]\pi[/tex]
C = 15[tex]\pi[/tex]
Step-by-step explanation:
Answer:
Exact Answer: 15π inches
Decimal Answer: 47.1 inches
Step-by-step explanation:
The unit is inches because circumference is one dimension.
1.) Circumference Formula: 2πr or dπ⇒d=diamater ⇒r=radius
2.) dπ=15π
3.) 15 × 3.14⇒approximate answer
sue has 18 pieces of candy
tony has 18 pieces of candy
sue then gives some to tony
sue then eats five of hers
tony eats half of his
write the expressions for the number of pieces candy sue and tony now have?
Answer:
Sue candy = 13 - x
Tony candy = 9 + 1/2x
Step-by-step explanation:
Sue candy = 18
Tony candy = 18
Let x = some candy gives to tony
Sue candy = 18 - x
Tony candy = 18 + x
sue then eats five of hers
Sue candy = 18 - x - 5
= 13 - x
tony eats half of his
Tony candy = 1/2(18 + x)
= 18/2 + x/2
= 9 + 1/2x
Expressions for the number of pieces candy sue and tony now have:
Sue candy = 13 - x
Tony candy = 9 + 1/2x
Dan was thinking of a number. Dan doubles it and gets an answer of 34.7. What was the original number?
find the slope of the line that contains (6,2) and (6,-3)
Answer:
slope is undefined
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (6, 2) and (x₂, y₂ ) = (6, - 3)
m = [tex]\frac{-3-2}{6-6}[/tex] = [tex]\frac{-5}{0}[/tex]
Division by zero is undefined , then slope is undefined
Translate the problem into a mathematical sentence, using was your variable
name. Do not use spaces in your answer.
Lisa bought 15 CDs in December. Of those, 3 were jazz, the rest were world
music. How many world music discs did she buy?
HELPPP
Answer:
12
Step-by-step explanation:
Total CD's Lisa bought = 15
Jazz music = 3
World music = x
Find x
Total CD's Lisa bought = Jazz music + World music
15 = 3 + x
Subtract 3 from both sides of the equation
15 - 3 = 3 + x - 3
12 = x
x = 12
Therefore,
World music = x = 12
Find the slope of the line that passes through (1, 2) and (8, 8).
Answer:
slope = [tex]\frac{6}{7}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (8, 8)
m = [tex]\frac{8-2}{8-1}[/tex] = [tex]\frac{6}{7}[/tex]
Find the area
Help me please
Answer:
143
Step-by-step explanation:
to find the area we multiply half of the sum of the bases with height
(18+8)/2*11 = 143
Jorge needs to reflect a figure across the line y = negative 4. Which statements are correct regarding steps he could take to complete the reflection? Check all that apply.
Jorge should graph in the vertical line with values of –4 for the line of reflection.
Jorge could count how far each pre-image point is from the line of reflection along the perpendicular from the point to the line of reflection.
Jorge could count how far each vertex of the figure is from the y-axis and count the same distance on the other side.
Jorge will not move any point that lies on the line of reflection.
Jorge could check his work by seeing if each segment joining a pre-image point with its image has the midpoint on the line of reflection.
Jorge could check his work by making sure that the image has the same orientation as the original.
Answer:
B: Jorge could count how far each pre-image point is from the line of reflection along the perpendicular from the point to the line of reflection.
D: Jorge will not move any point that lies on the line of reflection.
E: Jorge could check his work by seeing if each segment joining a pre-image point with its image has the midpoint on the line of reflection.
Step-by
i just took the test lol
Answer:
BDE are the answeres
Step-by-step explanation:
took the quiz
plzzz help
thank u for those who help
Answer:
SAS
Step-by-step explanation:
As per the given diagram, the following facts are evident.
(BR) = (CR), Both sides have two small orange lines on them. This shows that these sides are congruent.
(<B) = (<C), this is shown by the box around both angles, indicating that both angles have a measure of (90) degrees.
(AB) = (AC), Both sides have one small orange line on them. This indicates that these sides are congruent to each other.
Therefore, the sides are congruent by the theorem (SAS); side-angle-side, congruence.
Express each of the following decimal number in p/q form
3.127bar
Answer:
3124/999
Step-by-step explanation:
x = 3. 127 127 ....... -------------(I)
127 -----> 3 digits are repeating. so multiply both sides by 1000
(I)*1000 1000x = 3127.127127......
x = 3.127127...... [Now subtract}
999x = 3124
x = 3124/999
If three children equally share half loaf of bread among themselves, what fraction will each get?
Answer:
1/6 of the bread
Step-by-step explanation:
Given data
Let the amount of the loaf of bread be 1
But they are expected to share half
hence the amount to be shared is= 1/2 bread
The number of children is 3
Hence
=1/2/3
=1/2*1/3
=1/6 bread
Hence each child will get 1/6 of the bread
what is gravity write it's SI system
Step-by-step explanation:
gravity, also called gravitation, in mechanics, the universal force of attraction acting between all matter. ... On Earth all bodies have a weight, or downward force of gravity, proportional to their mass, which Earth's mass exerts on them. Gravity is measured by the acceleration that it gives to freely falling objects.
its Sl unit is m/s².
hope it helps.stay safe healthy and happy.Answer the following question.
You earn $8 per hour at a pizza parlor. Last week, you made $288. How many hours did you work in order to make that
much money?
1) Venn-diagram of-
AUBUC={a,b,c,d,e}U{d,e,f,g,h,i}U{a,e,i,o,u}
Answer:
AUBUC= { a,b,c,d,e,f,g,h,i,o,u}
Use the coordinates of the labeled point to find the point- slope equation of the line
Answer:
[tex]A(0,3)(x_1,y_2)[/tex]
[tex]B(2,-5)(x_2,y_2)[/tex]
[tex]slope(m)=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\longrightarrow[/tex] [tex]\frac{-5-3}{2-0}[/tex]
[tex]\longrightarrow \frac{8}{2}[/tex]
[tex]\longrightarrow -4[/tex]
[tex]y-y_2=m(x-x_2)[/tex]
[tex]\longrightarrow y-(-5)=-4(x-2)[/tex]
[tex]\longrightarrow y+5=-4(x-2)[/tex]
[tex]ANSWER:B[/tex]
--------------------------
hope it helps...
have a great day!!
If the value of a is negative the line is what?
Answer:
Down to the right.
Like down hill
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
in the equation y = ax, a would be the slope
if the slope is negative, then the line goes from down to the right
I did an example on desmos to show you
Find the TWO integers whos product is -12 and whose sum is 1
Answer:
The two INTEGERS are :-
-3 and +4
-3 * (+4) gives us -12
-3 + (+4) gives us 1
hope it helps
have a nice day
Answer:
[tex] \rm Numbers = 4 \ and \ -3.[/tex]
Step-by-step explanation:
Given :-
The sum of two numbers is 1 .
The product of the nos . is 12 .
And we need to find out the numbers. So let us take ,
First number be x
Second number be 1-x .
According to first condition :-
[tex]\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}[/tex]
Hence the numbers are 4 and -3.
What could be the possible "one's" digits of the square root of the number 183184? 2 or 8 4 or 6 2 or 6 only 2
Answer:
2 or 8
Step-by-step explanation:
Place value can be defined as the numerical value representing a digit owing to its position in a number. Some examples of the various place values used in representing each digit are tenths, hundredths, thousandths, unit, tens, hundreds, thousands etc.
Given the following number;
183184
Taking the square root, we have;
√183184 = 428
The place value of 4 is hundreds.The place value of 2 is tens.The place value of 8 is ones or units (8 is in ones place).*Therefore, the possible "one's" digits of the square root of the number 183184 is 2 or 8.
c) Which of these numbers is a square number?
A
4 x 105
B
9 x 104
С
4 x 103
D
9 x 103
What is the order of rotational symmetry of a regular pentagon?
Answer:
yeet
Step-by-step explanation:
urmom
find f(-2)for f(x)=5*3^x
f ( - 2 ) = 5 × 3^( - 2 )
f ( - 2 ) = 5 × 1/9
f ( - 2 ) = 5/9
A regular six sided die and an eight equal segment spinner, numbered 1 to 8, are rolled/spun simultaneously. What are the odds in favor of spinning a prime number on the spinner and rolling a number less or equal to 4 on the die?
Answer:
1/3
Step-by-step explanation:
In statistics, the probability of both an event A and an event B happening is equal to the probability of A happening multiplied by the probability of event B happening.
Let's say spinning a prime number is event A and rolling a number ≤ 4 is event B.
There are 8 possibilities on an eight equal segment spinner, and there are 4 prime numbers between 1 and 8 (including 8), which are 2, 3, 5, and 7. This means that the probability of spinning a prime number is 4/8, or 1/2
There are 6 possibilities on a die, and there are 4 possibilities of rolling a 4 or less (1, 2, 3, 4). Therefore, the probability of rolling 4 or less on a die is 4/6, or 2/3
The probability of both of these happening can be calculated by multiplying these together, so 1/2 * 2/3 = 2/6 = 1/3
will make brainliest, please help
