Answer:
57.98 yards
Step-by-step explanation:
When the ball is on the ground, the height is \(y=0\), therefore:
\(y=-0.017x^2+0.98x+0.33\)
\(0=-0.017x^2+0.98x+0.33\)
\(x=\frac{-b\pm\sqrt{b^2-4ac}}{2a} \)
\(x=\frac{-0.98\pm\sqrt{0.98^2-4(-0.017)(0.33)}}{2(-0.017)} \)
\(x_1=57.98184919\)
\(x_2=-0.3347903693\)
Since distance cannot be negative, the ball landed 57.98 yards down the field from where the goalie kicked the ball.
WILL give brainliest, I need these for my grade :c. 1.Find the Slope 2.Find the Slope 3. Find the midpoint
Answer:
Hard to calculate first one is -1/2
Next one is 2.5/1.5 or 2 its hard to tell because of line (not clear)
Next one is -1/2 I think the numbers are small.
You can sign up for Khan academy for clear answers
please help me answer this question asap
Answer:
It's quite easy
Step-by-step explanation:
people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23
Therefore there are 23 people less than 30 years old.
pls mark me as brainliest pls.
Taylor currently earn $24. 00 an hour at her job. Thank to her hard work, her bo i going to give her a 15% raie. How much will he earn each hour after the raie?
Answer:
Taylor will earn $27.60 after the raise.
Step-by-step explanation:
If you take $24.00 and multiply it by $1.15, your answer should be $27.60. Therefore, this is the answer to your question.
Hopefully this helps, did the best I could!
Solve the equation.
1 1
²x+3-2x = -²+²x+5
4 2
If necessary:
Combine Terms
Apply properties:
Add
Multiply
Subtract
To start over:
Reset
Divide
The solution to the equation (3x/4) + 3 - 2x = (-1/4) + (x/2) + 5 is x = -4/7.
To solve the equation (3x/4) + 3 - 2x = (-1/4) + (x/2) + 5, we'll simplify and rearrange the terms to isolate the variable x.
First, let's combine like terms on both sides of the equation:
(3x/4) - 2x + 3 = (-1/4) + (x/2) + 5
To combine the fractions, we need to find a common denominator.
(3x/4) - (8x/4) + 3 = (-1/4) + (2x/4) + 5
Simplifying further, we have:
(-5x/4) + 3 = (2x/4) + 4
Now, let's simplify the fractions on both sides of the equation:
(-5x + 12)/4 = (2x + 16)/4
Since both sides have a common denominator, we can eliminate it:
-5x + 12 = 2x + 16
Next, let's isolate the variable x by moving all terms involving x to one side and the constant terms to the other side:
-5x - 2x = 16 - 12
Combining like terms, we get:
-7x = 4
To solve for x, we divide both sides of the equation by -7:
x = 4 / -7
Therefore, the solution to the equation (3x/4) + 3 - 2x = (-1/4) + (x/2) + 5 is x = -4/7.
It's important to note that this is a single solution for the equation. However, if you're solving for a different variable or if there are additional conditions or variables involved, the solution may vary.
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π + 3.14 × π + 3.14 ÷ 3.14 answers it if you want to also it pie
Answer:
14.006
Step-by-step explanation:
π + 3.14 × π + 3.14 ÷ 3.14
14.00619358
Rounded -
14.006
Let's see
We know π approximately. 3.14\(\\ \rm\rightarrowtail \dfrac{\pi\pi(3.14)(3.14)}{3.14}\)
\(\\ \rm\rightarrowtail \pi\pi(3.14)\)
\(\\ \rm\rightarrowtail \pi^2(\pi)\)
\(\\ \rm\rightarrowtail \pi^3\)
In order to compensate for an expected future decline in the Japanese yen relative to the U.S. dollar, the interest rate in Japan must be ______ the interest rate in the United States. fixed relative to equal to higher th
Answer:
higher than
Step-by-step explanation:
Suppose a department contains 10 men and 15 women. a) How many ways are there to form a committee of 6 people from the department? Explain your answer. b) How many ways are there to form a committee of 6 people from the department, if the number of men in the committee is equal to the number of females in the committee? Explain your answer. c) How many ways are there to form a committee of 6 people from the department, if the number of men in the committee is less than the number of females in the committee? Explain your answer.
a) The number of ways to form a committee of 6 people from the department is 177,100.
b) The number of ways to form a committee of 6 people with an equal number of men and women is 54,600.
c) The number of ways to form a committee of 6 people with more women than men is 91,455.
a) To form a committee of 6 people from the department, we can choose 6 individuals from a total of 25 people (10 men + 15 women). The order in which the committee members are chosen does not matter, and we are not concerned with any specific positions within the committee. Therefore, we can use the concept of combinations.
The number of ways to choose 6 people from a group of 25 is given by the combination formula:
C(25, 6) = 25! / (6! * (25 - 6)!) = 25! / (6! * 19!) = 177,100
Therefore, there are 177,100 ways to form a committee of 6 people from the department.
b) In this case, we need to choose an equal number of men and women for the committee. We can select 3 men from the available 10 men and 3 women from the available 15 women. Again, the order of selection does not matter.
The number of ways to choose 3 men from 10 is given by the combination formula:
C(10, 3) = 10! / (3! * (10 - 3)!) = 10! / (3! * 7!) = 120
Similarly, the number of ways to choose 3 women from 15 is:
C(15, 3) = 15! / (3! * (15 - 3)!) = 15! / (3! * 12!) = 455
To find the total number of ways to form a committee with an equal number of men and women, we multiply these two combinations:
Total = C(10, 3) * C(15, 3) = 120 * 455 = 54,600
Therefore, there are 54,600 ways to form a committee of 6 people with an equal number of men and women.
c) In this case, we need to form a committee with more women than men. We can choose 1 or 2 men from the 10 available men and select the remaining 6 - (1 or 2) = 5 or 4 women from the 15 available women.
For 1 man and 5 women:
Number of ways to choose 1 man from 10: C(10, 1) = 10
Number of ways to choose 5 women from 15: C(15, 5) = 3,003
For 2 men and 4 women:
Number of ways to choose 2 men from 10: C(10, 2) = 45
Number of ways to choose 4 women from 15: C(15, 4) = 1,365
The total number of ways to form a committee with more women than men is the sum of these two cases:
Total = (Number of ways for 1 man and 5 women) + (Number of ways for 2 men and 4 women)
= 10 * 3,003 + 45 * 1,365
= 30,030 + 61,425
= 91,455
Therefore, there are 91,455 ways to form a committee of 6 people with more women than men.
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Solve 2tan(x)cos^2(x)=1 algebraically
On Tuesday, Joe lost $10. On Wednesday, he made $5. On Thursday, he made $4.
Did he make or lose money over those three days?
Answer:
Yes he lost 1 dollar
Step-by-step explanation:
Answer:
Joe lost money
Why is this action surprising. HELP PLEASE
Answer:
The first one sounds suprising but what is the action?
Answer:
1st option
Step-by-step explanation:
are the expressions 12 + 9 + w and w + 12 + 9 equivalent
Hey there!
“Are the expressions 12 + 9 + w and w + 12 + 9 equivalent”
Equation #1:
12 + 9 + w
COMBINE your LIKE TERMS
(12 + 9) + (w)
12 + 9 = 21
w = w
Answer for equation #1: 21 + w (or you could simply say “w + 21”)
Equation #2:
w + 12 + 9
COMBINE your LIKE TERMS
(w) + (12 + 9)
w = w
(12 + 9) = 21
Answer: w + 21 (or you could say “21 + w”
To ANSWER your OVERALL QUESTION, the ANSWER is: YES because they both give you the SAME result both ways!
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
on the final pass through the selection sorting algorithm two values are brought over from the unsorted list into the sorted list.
true or false
The statement "on the final pass through the selection sorting algorithm two values are brought over from the unsorted list into the sorted list" is false.
To answer your question regarding the selection sort algorithm: On the final pass through the selection sorting algorithm, only one value is brought over from the unsorted list into the sorted list. So, the statement is false.
In a selection sort algorithm, during each pass, the minimum (or maximum, depending on the order) value in the unsorted part of the list is selected and then swapped with the first unsorted value. This process continues until there is only one value left in the unsorted part of the list, which is then automatically considered sorted.
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A group of friends wants to go to the amusement park. they have $69.75 to spend on parking and admission. parking is $17.25, and tickets cost $17.50 per person, including tax. write an equation which can be used to determine p, the number of people who can go to the amusement park.
Equation and solution of equation :
17.25 + p(17.50) = 69.75
17.25 + 17.50p = 69.75
17.50x = 69.75 - 17.25
17.50p = 52.50
p = 52.50/17.50
p = 3
So three people can go to the amusement park (assuming that they are all travelling together in the same car).
The equation that represents the number of people who can go to the amusement park will be 17.50p + 17.25 = 69.75.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
A group of friends wants to go to the amusement park. they have $69.75 to spend on parking and admission. Parking is $17.25, and tickets cost $17.50 per person, including tax.
Let p be the number of people. Then the equation is given as,
17.50p + 17.25 = 69.75
The equation that represents the number of people who can go to the amusement park will be 17.50p + 17.25 = 69.75.
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a single bench section at a school event can hold either 7 adults or 11 children. when n bench sections are connected end to end, an equal number of adults and children seated together will occupy all the bench space. what is the least possible positive integer value of n?
The least possible positive integer value of n is 18.
Zero, a positive natural number, or a negative integer with a minus sign are all examples of integers. The additive inverses of the positive numbers are the negative numbers.
let x denote the number of adults. since the no. of adults is equal to the no. of children we can say that,
a single bench can hold either 7 adults or 11 children, so
\(N = \frac{x}{7} + \frac{x}{11}\)
\(N = \frac{18x}{77}\)
according to the question both N and x have to be positive integers, therefore x has to be equal to 77. and therefore N = 18.
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Can someone please help me???????????????????
Answer:
C
Step-by-step explanation:
Answer:
The answer is A
Step-by-step explanation:
The equation is d=4t
The slope of this equation would be 4
Every new point on the graph is up 4, right 1
Kent bought a $500, 20-year u. S. Treasury bond that paid six percent annual yield when he was 22. How much would that bond be worth 20 years later when it matured?.
The bond would be worth amount of $1,000 when it matured after 20 years, since it pays a 6% annual yield, which means it will double in value over the 20-year period.
500 x (1 + 0.06) ^ 20 = 1000
500 x 3.51 = 1,755
1,755 - 500 = 1,255
1,255 / 2 = 627.5
627.5 + 500 = 1,127.5
1,127.5 x 2 = 2,255
2,255 - 1,755 = 500
500 x 2 = 1,000
The bond is worth $500 when Kent buys it at 22 years old, and will pay a 6% annual yield. This means that the value of the bond will double over the 20-year period. To calculate the value of the bond at maturity, we need to use the formula: 500 x (1 + 0.06) ^ 20 = 1000. This means that the bond will be worth $1,000 when it matures 20 years later. We can also arrive at this result by breaking down the calculation into smaller steps. First, we multiply the initial bond value by the interest rate (500 x 1.06) to get the value after one year. Then, we repeat this step for the remaining 19 years (500 x 3.51) to get the total value after 20 years (1,755). We then subtract the initial bond value (500) from this to get the total interest earned (1,255). We then divide this interest by two (627.5) and add it to the initial bond value (500) to get the value after 20 years (1,127.5). We then multiply this by two (2,255) and subtract the total interest earned (1,755) to get the final value (500). This is double the initial bond value, so the bond will be worth $1,000 when it matures.
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What values of x eill make x to the 2 power=36 true
Answer:
6
Step-by-step explanation:
cuz 6x6 equal 36
Answer:
x=6
Step-by-step explanation:
The question is asking what value of x will make \(x^{2}\) = 36.
If we take the square root of 36, we will get \(\sqrt{36}\), and that simplifies to 6.
Hope this helped.
Diego is collecting nickels. He has collected $7.05 so
far. The relationship between the number of nickels n
and the amount of money in dollars is represented by
which of the following equations?
A. 0.05 + n = 7.05
B. 0.05n = 7:05
C. 7.05 + n = 0.05
D. 7.05n = 0.05
If the total amount of money gathered by Diego in the jar is $7.05. The link between the number of nickels n and the quantity of money in dollars is expressed by the equation 0.05 + n = 7.05.
What is meant by equations?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.
Let $7.05 exists the total amount of money collected by Diego in the jar.
Where d is the number of dimes
n is the number of nickels
A) Let the equation be 0.05 + n = 7.05
Subtract 0.05 from both sides of the equation, we get
0.05 + n - 0.05 = 7.05 - 0.05
simplifying the above equation, we get
n = 7
B) Let the equation be 0.05 n = 7.05
Divide the equation by 0.05, we get
0.05 n / 0.05 = 7.05 / 0.05
n = 141
C) Let the equation be 7.05 + n = 0.05
Subtract 7.05 from both sides of the equation, we get
7.05 + n - 7.05 = 0.05 - 7.05
simplifying the above equation, we get
n = - 7
D) Let the equation be 7.05n = 0.05
Divide the equation by 7.05, we get
7.05 n / 7.05 = 7.05 / 0.05
n = 1 / 141.
If the total amount of money gathered by Diego in the jar is $7.05. The link between the number of nickels n and the quantity of money in dollars is expressed by the equation 0.05 + n = 7.05.
Therefore, the correct answer is option A) 0.05 + n = 7.05.
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1) Find the general solution of the following differential equation: dy = 20 + 2y dt Find the particular solution with the initial condition y(0) = 3. 3.
2) Find the general solution of the following differential equation: dy 1 - + y − 2 = 3t + t² where t ≥ 0 dt
3) Solve the following initial value problem: dy -y = e¯y (2t - 4) and y(5) = 0. dt
The given differential equation is dy/dt = 20 + 2y. We can solve this equation by separating variables. Rearranging the equation, we have:
dy/(20 + 2y) = dtIntegrating both sides with respect to their respective variables, we get:
∫(1/(20 + 2y))dy = ∫dt
Applying the natural logarithm, we obtain:
ln|20 + 2y| = t + C
where C is the constant of integration. Solving for y, we have:
|20 + 2y| = e^(t + C)
Considering the initial condition y(0) = 3, we can substitute the values and find the particular solution. When t = 0, y = 3:
|20 + 2(3)| = e^(0 + C)
|26| = e^C
Since the exponential function is always positive, we can remove the absolute value signs:
26 = e^C
Taking the natural logarithm of both sides, we get:
C = ln(26)
Substituting this value back into the general solution equation, we have:
|20 + 2y| = e^(t + ln(26))
The given differential equation is dy/(1 - y) + y - 2 = 3t + t². To solve this equation, we can first rearrange it:
dy/(1 - y) = (3t + t² - y + 2) dt
Next, we separate the variables:
dy/(1 - y) + y - 2 = (3t + t²) dt
Integrating both sides, we obtain:
ln|1 - y| + (1/2)y² - 2y = (3/2)t² + (1/3)t³ + C
where C is the constant of integration. This is the general solution to the differential equation.
The given initial value problem is dy/dt - y = e^(-y)(2t - 4) with the initial condition y(5) = 0. To solve this problem, we can use an integrating factor. The integrating factor is given by e^(-∫dt) = e^(-t) (since the coefficient of y is -1).
Multiplying both sides of the differential equation by the integrating factor, we have:
e^(-t)dy/dt - ye^(-t) = (2t - 4)e^(-t)
Using the product rule on the left-hand side, we can rewrite the equation as:
d/dt(ye^(-t)) = (2t - 4)e^(-t)
Integrating both sides, we get:
ye^(-t) = -2te^(-t) + 4e^(-t) + C
Considering the initial condition y(5) = 0, we can substitute t = 5 and y = 0:
0 = -10e^(-5) + 4e^(-5) + C
Simplifying, we find:
C = 6e^(-5)
Substituting this value back into the equation, we have:
ye^(-t) = -2te^(-t) + 4e^(-t) + 6e^(-5)
This is the solution to the given initial value problem.
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hi. how to give brainliest :-)..........
Answer:
you have to be above ambitious to unlock brainiest answer
Step-by-step explanation:
Answer:
You got wait for 2 people to answer to this then at the bottom right theirs a crown click n that’s how u give brainliest
Step-by-step explanation:
Sketch the region in the plane consisting of points whose polar coordinates satisfy the given conditions.
r ≥ 2, π ≤ θ ≤ 2π
The resulting region in the plane is a shaded annulus centered at the origin, with inner radius 2 and outer radius infinity.
The region in the plane consists of all points with polar coordinates (r, θ) such that r is greater than or equal to 2, and θ is between π and 2π.
To sketch this region, we can start by drawing the circle with radius 2 centered at the origin. This circle corresponds to the boundary r=2 of the region.
Next, we shade in the region to the right of the vertical line passing through the origin, since this corresponds to the interval π ≤ θ ≤ 2π.
Finally, we shade in the interior of the circle, since we want to include all points with r greater than or equal to 2.
The resulting region in the plane is a shaded annulus centered at the origin, with inner radius 2 and outer radius infinity. The boundary of the region is the circle of radius 2 centered at the origin, together with the positive x-axis.
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Need help with this fast
Answer:
it says 20% under the math part
Are x and y proportional?
Answer:
yes they are
Step-by-step explanation:
Which value of a would make the inequality statement true? 9. 53 < StartRoot a EndRoot < 9. 54 85 88 91 94.
The value that would make the inequality statement true is 90.84629.
Here, we have
Given:
To make the inequality statement true: 9.53 < √a < 9.54, we can proceed as follows:
Since 9.54 - 9.53 = 0.01
We must find a value of a that has a square root that falls between 9.53 and 9.54.
A way to do this is to square the values of 9.53 and 9.54, and find a value of a that has a square root between these two values:
Squaring 9.53 and 9.54, we get:9.53² = 90.82098...9.54² = 90.8716...
Therefore, we must find a value of a that lies between 90.82098 and 90.8716.
We can choose the midpoint between these two values, which is:(90.82098 + 90.8716)/2 = 90.84629.
So the value that would make the inequality statement true is 90.84629.
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The length of a rectangular dassroom floor is
19 feet less than twice its width. write an
expression to represent the area of the floor
in simplest form.
Answer:
W(2W-19)
Step-by-step explanation:
let length = L
length= L feet
let Width= W
from the question,
twice the width = 2W
then L = 2W-19
the area of the rectangle
Area= length × width
Area= 2W-19×W
Area= 2W^2-19W
Area= W(2W-19)
please help asp i need it done in a couple of miinutes.
Answer:
10
Step-by-step explanation:
If you have 4/1 and you're dividing by 2/5, you flip it, so it's 4/1 x 5/2, which is a lot easier. That equals 20/2, which, when you simplify, equals 10. (By the way, the model in I-ready helps to get that concept!)
How do I solve h(x)=2x+5;find h(2)
Step-by-step explanation:
hrer do it this way
it is correct
can someone help me please
Answer:
IM SLEEP
Step-by-step explanation:
A window had a length of 8ft. It’s total area was 32 square ft. How tall was the window?
We have a window of which we know the length and area, we are asked to find what is its height from what we know.
For this we use the equation of the area of a rectangle, which is the following equation:
\(A=b\cdot h\)Where in this case:
\(\begin{gathered} b=8ft \\ h=\text{tall} \\ A=32ft^2 \end{gathered}\)Now, we replace and solve:
\(\begin{gathered} 8ft\cdot h=32ft^2 \\ h=\frac{32ft^2}{8ft} \\ h=4ft \end{gathered}\)In conclusion, the window is 4 feet tall.
Answer:
Step-by-step explanation:
the answer is 4 because 32/8 equals 4
Use the graphical method to solve the following Linear
Programming model.
min=x1−x2
s.t.
5x1+x2≥5
x2≤2
x1,x2≥0
The solution to the given Linear Programming model using the graphical method is x¹ = 0 and x² = 2, with a minimum objective function value of -2.
In the given Linear Programming model, the objective is to minimize the function x¹ - x², subject to certain constraints. To solve this model using the graphical method, we start by plotting the feasible region defined by the constraints.
The first constraint, 5x¹ + x² ≥ 5, can be rewritten as x² ≥ -5x¹ + 5. By plotting the line -5x¹ + 5 = x², we can determine the region that satisfies this inequality. The line has a slope of -5 and intercepts the y-axis at 5.
The second constraint, x² ≤ 2, represents a horizontal line parallel to the x-axis and passing through the point (0, 2).
Next, we identify the feasible region by considering the overlapping region between the two lines. In this case, the feasible region is a triangular area.
To find the optimal solution, we evaluate the objective function x¹ - x² at the vertices of the feasible region. These vertices are the points where the lines intersect. In this case, the vertices are (0, 2), (0, 5), and the point of intersection between the lines. By comparing the objective function values at these points, we determine that the minimum value of x¹ - x² is obtained at x¹ = 0 and x² = 2, with a value of -2.
Therefore, the solution to the given Linear Programming model using the graphical method is x¹= 0 and x² = 2, with a minimum objective function value of -2.
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