h= -16t^2+16t+192 When will the ball hit the ground?
Answers
Answer:
t = 4 s
Step-by-step explanation
We can infer the origin from the t⁰ term of the quadratic as being 192 feet above the ground. Initial velocity is 16 ft/s from the t¹ term, gravity is -32 ft/s² from the t² term
0 = -16t² + 16t + 192
0 = -t² + t + 12
0 = t² - t - 12
0 = (t - 4)(t + 3)
so either
t - 4 = 0
t = 4 s
or
t + 3 = 0
t = -3 s which we ignore as it occurs before the ball is released.
Related Questions
Find an ordered pair (x, y) that is a solution to the equation.
3x-y=6
Answers
For example, if we let x = 2, then:
3x - y = 6
3(2) - y = 6
6 - y = 6
-y = 0
y = 0
So, when x = 2, y = 0, and the ordered pair (2, 0) is a solution to the equation 3x - y = 6.
Evaluate: x(y – 5) for x = 2 and y = 7
Answers
Answer:
Replace all occurrences of x x in x−y=5 x - y = 5 with 7−y 7 - y . x=7−y x = 7 - y. (7−y)−y=5 ( 7 - y ) - y = 5. Subtract y y from −y - y . x=7−y x = 7 - y. 7−2y=5 7
Step-by-step explanation:
you have a club of fifteen people. you need to pick a president, treasurer, and secretary from the fifteen. how many different ways can you do this? leave answer as whole number, do not include decimals or commas. answer:
Answers
There are 1365 different ways to pick a president, treasurer, and secretary from a club of fifteen people.
The number of ways to pick a president, treasurer, and secretary from a club of fifteen people can be calculated using the formula for combinations:
\(C(n,r) = n! / (r! (n-r)!)\)
Where n is the number of people in the club and r is the number of positions to be filled.
In this case, we want to calculate the number of ways to choose 3 people from a group of 15, so n = 15 and r = 3.
Plugging these numbers into the formula, we get:
\(C(15,3) = 15! / (3! (15-3)!) = 15! / (3! 12!) = 15*14*13 / (3*2*1) = 1365\)
Therefore, there are 1365 different ways to pick a president, treasurer, and secretary from a club of fifteen people.
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Louise measured the perimeter of her rectangular scrapbook to be 154 cm. If the scrapbook is 37 cm wide, how long is the scrapbook?
Answers
Answer: 40 cm.
Step-by-step explanation: Perimeter involves adding all the sides of a shape to get the perimeter. So far, two sides of the scrapbook have been given, which are both 37 cm. 37 x 2 = 74, so that leaves us with two sides left, which are the lengths of the scrapbook. The total perimeter is 154, so if we subtract 74 from 154, we get 80. However, we have to split the 80 in half because we have two sides left. Therefore, the scrapbook's length is 40 cm for one side. I hope this isn't too confusing.
Have a great day! :)
A textbook store sold a combined total of 288 history and psychology textbooks in a week. The number of history textbooks sold was two times the number of psychology textbooks sold. How many textbooks of each type were sold
Answers
Answer:
x=96 and y=192
Step-by-step explanation:
x+y=288 and 2x=y
plug y in and solve for x
x+2x=288
3x=288
x=96
plug x back in and solve for y
2(96)=y
y=192
f(x)=-5x^2+4x-9 g(x)=8x^2-3x-4 find (f+g)(x)
Answers
Given:
The functions are
\(f(x)=-5x^2+4x-9\)
\(g(x)=8x^2-3x-4\)
To find:
The value of (f+g)(x).
Solution:
We know that,
\((f+g)(x)=f(x)+g(x)\)
Putting the given functions, we get
\((f+g)(x)=-5x^2+4x-9+8x^2-3x-4\)
On combining like terms, we get
\((f+g)(x)=(-5x^2+8x^2)+(4x-3x)+(-9-4)\)
\((f+g)(x)=3x^2+x-13\)
Therefore, the required function is \((f+g)(x)=3x^2+x-13\).
In 1995, wolves were introduced into Yellowstone Park.
The function `w\left(x\right)=14\cdot1.08^{x}` models the number of wolves, `w`, in the years since 1995, `x`.
Determine the value of `w(25)`.
What does this value say about the wolf population?
Answers
Answer:
w(25) = 96
There are 96 wolves in the year 2020
Step-by-step explanation:
Given:
\(w(x)=14\cdot 1.08^{x}\)
w(25) =
\(w(25)=14\cdot 1.08^{25}\\\\= 14 * (6.848)\\\\=95.872\\\\\approx 96\)
Number of years : 1995 + 25 = 2020
In 2020, there are 96 wolves
in an experiment to learn whether substance m can help restore memory, the brains of 20 rats were treated to damage their memories. first, the rats were trained to run a maze. after a day, 10 rats (determined at random) were given substance m and 7 of them succeeded in the maze. only 2 of the 10 control rats were successful. the two-sample z test for the difference in the true proportions. Gives z= 2.25, P< 0.02
Answers
The z-value obtained from the test was 2.25, and the p-value was less than 0.02.
What is probability ?
Probability can be defined as ratio of number of favourable outcomes and total number of outcomes.
Based on the experiment described, a two-sample z-test for the difference in proportions was conducted to determine if there is a significant difference between the proportion of rats that succeeded in the maze after being given substance m and the proportion of rats in the control group that succeeded in the maze.
This suggests that the difference in proportions between the two groups is statistically significant at the 0.05 level of significance (since the p-value is less than 0.05).
In other words, the results of the experiment suggest that substance m may be effective in helping to restore memory, as a greater proportion of rats in the substance m group succeeded in the maze compared to the control group. However, it's important to note that further experiments and analyses would be necessary to confirm these findings and determine the extent of the effect of substance m on memory restoration.
Therefore, The z-value obtained from the test was 2.25, and the p-value was less than 0.02.
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pls help me I need help
Answers
Answer: D is one of them hope this helps!
Step-by-step explanation:
find a dimension of a rectangle whose width is 2 miles less than its length, and whose area is 80 square miles?
Answers
Answer:
Step-by-step explanation:
For this type of question, it helps to draw the rectangle and label its sides. Label the length x. We are given that the width is 5 miles less than the length, which can be represented algebraically as x-5. So, if y = width, then we have y = x-5.
We are also given that the area is 84 square miles, so how do we find the area of a rectangle? The formula is Area = length * width. Substituting in what we know, we get 84 = x(x-5). We distribute on the right hand side to get 84 = x^2-5x, which is equivalent to x^2-5x-84=0. This can be factored as (x-12)(x+7)=84. The solutions are x=12 or x=-7, but we ignore x=-7 because we cannot have negative length. Thus, the length of the rectangle is 12 miles and the width is 12-5=7 miles.
A population, f(x), after x years may be modeled with f(x)=2(3)^x. What is the initial amount , growth rate, domains and range?
Answers
Growth rate: 3
Domain: all real numbers
Range: all positive real numbers.
2 is the initial amount, growth rate is (3ˣ - 1) × 100% , domain of the function is all real numbers and range of the function is all positive real numbers
What is a function?A relation is a function if it has only One y-value for each x-value.
The given function is:
f(x) = 2(3)ˣ
To find the initial amount, we need to find f(0):
f(0) = 2(3)⁰ = 2(1) = 2
So the initial amount is 2.
To find the growth rate, we can use the formula:
growth rate = (f(x) - f(0)) / f(0) × 100%
= (2(3)ˣ - 2) / 2 × 100%
= (3ˣ - 1) × 100%
So the growth rate is (3ˣ - 1)×100%.
The domain of the function is all real numbers because the function is defined for all values of x.
The range of the function is all positive real numbers because the function is always positive for any value of x.
Specifically, the range of the function is (0, infinity).
Hence, 2 is the initial amount, growth rate is (3ˣ - 1) × 100% , domain of the function is all real numbers and range of the function is all positive real numbers
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SOMEONE HELP PLEASE! So for this problem the answer I got is $4000. Is that the correct or incorrect answer? Can someone please help me if it is the incorrect answer. Thank you for your time.
Answers
Answer:
You're correct
Step-by-step explanation:
I need this answer please help
Answers
Answer:
Option 4
Step-by-step explanation:
The parabola has a y-intercept of -3.
Eliminate Options 1 and 3.The parabola opens upward, so the leading coefficient is positive.
Eliminate Option 2.Question 1 Multiple Choice Worth 4 points)
(08.02)The coordinate grid shows the plot of four equations.
A
B
A
-72625
Which set of equations has (2, 2) as its solution?
A and D
Band D
A and C
Band C
Answers
Answer:D
Step-by-step explanation:
The line plot displays the number of roses purchased per day at a grocery store.
A horizontal line starting at 0 with tick marks every one unit up to 10. The line is labeled Number of Rose Bouquets, and the graph is titled Roses Purchased Per Day. There is one dot above 10. There are two dots above 1 and 4. There are three dots above 2 and 5. There are 4 dots above 3.
Which of the following is the best measure of variability for the data, and what is its value?
The IQR is the best measure of variability, and it equals 3.
The IQR is the best measure of variability, and it equals 9.
The range is the best measure of variability, and it equals 3.
The range is the best measure of variability, and it equals 9.
Answers
The range is the best measure of variability for this data, and its value is 4.
Which of the following is the best measure of variability for the data, and what is its value?The line plot displays the number of roses purchased per day at a grocery store, with the data values ranging from 0 to 4 (since there are no dots above 4).
The best measure of variability for this data is the range, which is the difference between the maximum and minimum values in the data set. In this case, the minimum value is 0 and the maximum value is 4, so the range is:
Range = Maximum value - Minimum value = 4 - 0 = 4
Therefore, the range is the best measure of variability for this data, and its value is 4.
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Which problem solving strategy would be best to solve this problem?
Brandon went to the store and spent $2.50 on pencils. He spent half of what he had left on a notebook and paper. When he got home he had $5.00 left. How much money did Brandon have before going to the store?
Answers
Answer: The best problem solving strategy to solve this problem with is a formula. Additionally Brandon had $12.50 before going to the store.
Step-by-step explanation: Formula and Solving it
He Spent $2.50 on pencils.
Amount left after buying a pencil = x - 2.50
Next, he spent half of the amount left in his pocket.
He spent (x - 2.50)/2 on notebook and paper.
So the total amount he spent = 2.50 + (x -2.50)/2
Amount left when he got home =$ 5.00
That means, x - Total amount spent = 5
=> x - (2.50 + (x -2.50)/2 ) = 5
=> x - 2.50 -x/2 + 2.50/2 = 5
=> x/2 - 2.50/2 = 5
=> x/2 = 5 + 2.50/2
=> x/2 = 6.25
=>x = $12.5
Solve the system of equations using the substitution or elimination method.
y = 4x - 7
4x + 2y = -2
.
Show your work
Correct x and y
Answers
The solution to the system of equations is x = 1 and y = -3.
To solve the system of equations using the substitution or elimination method, let's start with the substitution method.
Given equations:
y = 4x - 7
4x + 2y = -2
We'll solve equation 1) for y and substitute it into equation 2):
Substituting y from equation 1) into equation 2):
4x + 2(4x - 7) = -2
4x + 8x - 14 = -2
12x - 14 = -2
Now, we'll solve this equation for x:
12x = -2 + 14
12x = 12
x = 12/12
x = 1
Now that we have the value of x, we can substitute it back into equation 1) to find y:
y = 4(1) - 7
y = 4 - 7
y = -3
Therefore, the solution to the system of equations is x = 1 and y = -3.
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Simplify and then evacuate by plugging in the vaules of A, B, C, and/or D
A = 8
B = 10
C =16
D = 11
Answers
Evaluating the expression results to
A - 2(B - A) - 3B simplifies to --18C(4 - D) + 2CD simplifies to 240How to evaluate the expressionsTo simplify the given expressions, we substitute the values of A, B, C, and D into the expressions and perform the necessary calculations.
A - 2(B - A) - 3B:
Substituting the values:
8 - 2 * (10 - 8) - 3 * 10
Simplifying the expression inside parentheses
8 - 2(2) - 3 * 10
8 - 4 - 30
Performing subtraction
8 - 4 - 30
-18
Therefore, A - 2(B - A) - 3B simplifies to --18
evaluate the second expression C(4-D)+2CD:
C = 16
D = 11
Substituting the values:
16(4 - 11) + 2(16)(11)
Simplifying
16(-7) + 2(16)(11)
-112 + 352
240
Therefore, the value of the expression C(4-D)+2CD, when C = 16 and D = 11, is 240.
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what is 1.25x1.19 pls hurry
Answers
the graph of the equation x=3y=6 intersects the y-axis at the point whose coordinates are
a (0,2)
b (0.6)
c (0,18)
d (6,0)
Answers
Answer:
d（0,6）
6＋3（0）＝6
6＋0＝6
6＝6
Fill in the blank using the scaling factor that makes the number sentence true. 5.3 × > 5.3 0.886 or 1.00 or 1.003
Answers
The given options, the only value greater than 1 is 1.003. Therefore 0.886, which is less than 1 and makes the inequality true.
The given number sentence is 5.3 × > 5.3, where we need to find the scaling factor that makes the inequality true. To do this, we can divide both sides of the inequality by 5.3. This gives us:
5.3 × x > 5.3 ÷ 5.3 × k
We need to find the value of k that makes the inequality true. Simplifying the right-hand side of the equation, we get:
5.3 ÷ 5.3 × k = k × 1 = k
Substituting this into our equation, we get:
5.3 × x > k
We know that 5.3 × 1 = 5.3, which means that k must be greater than 1 to satisfy the inequality. Among the given options, the only value greater than 1 is 1.003. However, this value would make the inequality too large, so it is not the correct answer.
The correct answer is therefore 0.886, which is less than 1 and makes the inequality true.
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What is the sum of (−9x4+6x3+2x5+6) and (3x5+3x4+7x3+8)?
Answers
Answer:
(−9x4+6x3+2x5+6)
(3x5+3x4+7x3+8)
Step-by-step explanation:
The answer to (−9x4+6x3+2x5+6) is -2
and the answer to (3x5+3x4+7x3+8) Is 56
I need help with my math
Answers
Step 1: Pick any two points
The points are represented as (x1,y1), (x2,y2).
where x1= -4, y1= -8, x2= 0, y2= 4
Step 2: Write out the formula of the equation to use
\(\frac{y-y_1}{x-x_1}=\text{ }\frac{y_2-y_1}{x_2-x_1}\)Step 3: Substituting the values and to get the equation
\(\begin{gathered} \frac{y-(-8)_{}}{x-(-4)}=\text{ }\frac{4-(-8)}{0-(-4)} \\ \frac{y+8}{x+4}=\frac{4+8}{0+4} \\ \frac{y+8}{x+4}=\text{ }\frac{12}{4} \end{gathered}\)\(\begin{gathered} \frac{y+8}{x+4}=\text{ 3} \\ \text{Cross multiply} \\ y+8=\text{ 3(x+4)} \\ y+8=\text{ 3x+12} \\ \text{Collect like terms} \\ y=\text{ 3x+12-8} \\ y=\text{ 3x + 4} \end{gathered}\)The equation that represents the graph is y= 3x+4.
Option A is the correct answer.
30p + 60r >250Which graph best represents the following equation?
Answers
Solution
\(30p+60r\text{ >250 }\)Solve these multi step equations. Show your work. Justify each of your steps. 3x+4+6x=12-41+6x
Answers
Answer:
x=11
Step-by-step explanation:
Combine like terms:
3x +4 +6x =12- 41+ 6x
9x +4 =12 -41 + 6x
Subtract the numbers:
9x+ 4= 12- 41+ 6x
9x + 4= -29 +6x
Rearrange terms:
9x+4=-29+6x
9x+4=6x-29
x=11
Select all lengths that are equal to 3 yards 16 inches.
Answers
The lengths equal to 3 yards 16 inches are 3 yards, 108 inches, 3.44 yards (approximately), and 108.44 inches (approximately).
To determine the lengths that are equal to 3 yards 16 inches, we need to convert the measurements into a consistent unit. Since both yards and inches are units of length, we can convert the inches into yards or the yards into inches to find the equivalent lengths.
1 yard is equal to 36 inches (since 1 yard = 3 feet and 1 foot = 12 inches).
Therefore, 3 yards is equal to 3 * 36 = 108 inches.
Now, we can compare 108 inches to 3 yards 16 inches.
108 inches is equal to 3 yards, so it matches the given length.
To convert 16 inches into yards, we divide it by 36 since 1 yard = 36 inches. 16 inches / 36 = 0.44 yards.
Therefore, 3 yards 16 inches is equivalent to:
3 yards
108 inches
3 yards 0.44 yards (or approximately 3.44 yards)
108 inches 0.44 yards (or approximately 108.44 inches)
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Which of the following would have a scale factor greater than one?
a) A Hot Wheels car
b) A picture of a skyscraper
c) A map of the world
d) A diagram of a plant cell
Answers
Answer:
NIO
Step-by-step explanation:
a
Question 4Mple Choice Worth 2 points)
Ares of Polygons and Composite Figures MC)
A composte figure is shown
024413
028.445²
1.15 in
Which of the following represents the total area of the figure?
010 663 ²
034.335 ²
4.6 in.
3h 563
P
Answers
The total area of the composite figure which has triangle and rectangle is 24.41 square inches
The given composite figure has two triangles and one rectangle
Area of rectangle =length × width
=4.6×3.15
=14.49 square inches
Area of left side triangle, it has base of 3.3 in and height 3.15 inches
Area of triangle = 1/2×3.3×3.15
=5.1975 square inches
Area of triangle on right side
Base = 3 in
Height = 6.3-3.15=3.15 in
Area of triangle = 1/2×3×3.15
=4.725 square inches
Total area = 14.49 + 5.1975 + 4.725
=24.41 square inches
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How to fill out an income summary
Answers
Answer: Pick a Reporting Period. ...
Generate a Trial Balance Report. ...
Calculate Your Revenue. ...
Determine the Cost of Goods Sold. ...
Calculate the Gross Margin. ...
Include Operating Expenses. ...
Calculate Your Income. ...
Include Income Taxes.
Let f(x) = x2 − 2x + 1. Find the inverse function of f by identifying an appropriate restriction of its domain.
Answers
Answer: \(f^{-1} (x) = \sqrt{x} +1\)
Step-by-step explanation:
\(y = x^2 - 2x + 1\)
We know straight away the inverse will be a square root function. We also know that this inverse will have a restriction on the domain, (because you can only take the square root of a positive number).
So, to find the inverse, first we'll switch the x and y and solve for y:
\(x = y^2 - 2y +1\)
\(x = (y-1)^2\), (factor!)
±\(\sqrt{x} = y - 1\)
So, the inverse "function" is:
\(f^-1(x)\) = ±\(\sqrt{x} +1\)
But theres an issue here!
If we tried graphing this, this "function" would not pass the vertical line test, so its not really a function at all!
We need to restrict the domain to only include the values that are above the x axis.
So our final inverse function is:
\(f^{-1} (x) = \sqrt{x} +1\)