Answer:
the answer is 306.25 feet and b is 8 sec
Step-by-step explanation:
Explanation
The height of the ball as a function of the time is given by the following formula:
A. Maximum height of the ball
To find the value of the maximum height, we maximum the function h(t) computing its first derivative and equalling the result to zero:
Solving the last equation for t, we get time t when the height is maximum:
So the maximum height is given by the value of h(t) when t = 2.5:
The maximum height is 196ft.
B. Time until the ball hits the ground
The ball will hit the ground when h(t) = 0. So we must find the value of t such that:
Solving this equation is equivalent to finding the roots of a second-order polynomial:
Where:
• a = -16,
,
• b = 80,
,
• c = 96.
The roots of this polynomial are given by the following formula:
s
Answer
A. The maximum height of the ball is 196 ft.
5⅗-2.2 in decimal and in fraction
Answer:
3.4 and 3 2/5
Step-by-step explanation:
5 3/5 = 5.6
5.6 - 2.2 = 3.4
3.4 = 3 4/10 = 3 2/5
factorise x squared + 3x
Answer:
x(x + 3)
Step-by-step explanation:
x² + 3x ← factor out x from each term
= x(x + 3)
The circle graph shows how a typical household spends money on energy. Use the graph to find the measure of each arc.
mPQ
MUPT
Converting the percentage to degree in the pie chart, angle PQ and UPT are 162° and 25.2° respectively
Pie ChartThis is a statistical tool used to represent data in a chart. It is often represented using angles or percentage.
To find the value of the respectively angles, we have to convert the values from percentage to degree.
The formula to do this is given as
Percentage = angle * (100 / 360)
A)
Angle PQ = ?
Substituting the values;
45 = angle * (100 / 360)
45 = angle * (5/18)
angle = 45 / (5/18)
angle = 162°
B) Angle UPT = ?
7 = angle * (5/18)
angle = 7 / (5/18)
angle = 25.2
The angle PQ is 162 degrees, the angle UPT is 25.2 degrees
Learn more on pie chart here;
https://brainly.com/question/12728386
#SPJ1
Find the coordinates of the circumcenter of the triangle with the given vertices.
A(0, 0), B(0, 8), C(6, 0)
At (1, 5, 1), these two perpendicular bisectors will come together. These are the triangle's circumcenter's coordinates.
What is circumcenter ?the middle of the triangle's circle. It is the intersection of the "perpendicular bisectors," or lines that are perpendicular to the middle of each side.
Triangle ABC's circumcenter is the point at which any two perpendicular bisectors of any two sides of the triangle come together.
The perpendicular bisector of sides B(3,0) and C(3,2) has the equation is y=1.
Because AB's slope is unknown and its midpoint is at 3,1. The slope of the perpendicular bisector is zero. Such a line has the equation y=y1.
Additionally, x=1.5 is the equation for the perpendicular bisector of A(0,0) and B(3,0). The explanation is because AB has a zero slope and a midway of (1.5,0). The slope of the perpendicular bisector will be ill-defined. x=x1 is the equation for such a line.
At (1, 5, 1), these two perpendicular bisectors will come together. These are the triangle's circumcenter's coordinates.
To know more about circumcenter visit:
https://brainly.com/question/16276899
#SPJ1
kristen's dog weighs 88 pounds of 1 kilogram is approximately 2.2 pounds what is the approximate weight of kristens dog in kilograms?
Answer:39.9
Step-by-step explanation:1 kilogram is 0.453592 kilograms so if you multiply that number by 88 you will get 39.9
if f(x) = 2x + 7, what is the value of f(-10) and f(5)?
if f(x)= 2x+7
f(x)= two points
-10 and +5
the solution is : A,,,,f(-10)=2(-10)+7
= -20+7
= -13
and
B,,,,, f(5)= 2(5)+7
= 10+7
= 17
water in a vertical cylindrical tank of height 22 ft and radius 4 ft is to be pumped out. the density of water is 62.4 lb/ ft3. (a) the tank is full of water and all of the water is to be pumped over the top of the tank.
The tank is full of water and all of the water is to be pumped over the top of the tank is 643,094.07 ft-lbs .
Consider a slice shown at a height of v and suppose that the slice has a thickness of Δv. The volume of the slice is then π( 3 )^2 Δv = 9π Δv which is the area of the disk of radius 3 times the thickness of the slice.
= 62.4 ( 9 π Δ v ) = 561.6 π Δ v
Δ W = ( 561.6 π Δ v ) ( 27 − v ) = 561.6 π ( 27 − v ) Δ v ft-lbs
Work = [tex]\int\limits^{27}_0[/tex]561.6 π ( 27 − v ) d v
= 561.6 π ( 27 v − 1 / 2 v^2 ) | 27_ 0
= 561.6 π ( 27 ∗ 27 − 1 / 2 ( 27 )^2
= 1,023,516 π / 5
= 643,094.07 ft-lbs
Learn more about the area here:
https://brainly.com/question/27683633
#SPJ4
Help me pls , I don’t understand this
21 miles per hour is the speed of boat still in water and 9 miles per hour is the speed of current.
What is downstream speed and upstream speed?Downstream - A boat is said to be moving downstream if it is moving in the same direction as the stream.
Upstream - A boat is said to be moving upstream if it is moving downstream of the stream. The term "upstream speed" in this context refers to the boat's net speed.
13) Given that, a boat traveled 280 miles downstream and back.
Time taken by boat in downstream is 7 hours and in upstream is 14 hours.
Let the speed of a boat be x miles per hour and the speed of a current be y miles per hour.
So, the total speed in downstream is x+y miles per hour and the total speed in upstream is x-y miles per hour.
We know that, Distance = Speed × Time
Now, 280=(x+y)×7
⇒ x+y=40 ------(I)
Here, 280=(x-y)×14
⇒ x-y=20 ------(II)
Add equation (I) and (II), we get
x+y+x-y=40+20
⇒ 2x=60
⇒ x=30 miles per hour
So, x+y=40
⇒ y=10 miles per hour
14) Given that, a boat traveled 252 miles downstream and back.
Time taken by boat in downstream is 12 hours and in upstream is 84 hours.
Let the speed of a boat be p miles per hour and the speed of a current be q miles per hour.
So, the total speed in downstream is p+q miles per hour and the total speed in upstream is p-q miles per hour.
We know that, Distance = Speed × Time
Now, 252=(p+q)×12
⇒ x+y=21 ------(I)
Here, 252=(p-q)×84
⇒ p-q=3 ------(II)
Add equation (I) and (II), we get
p+q+p-q=21+3
⇒ 2p=24
⇒ p=12 miles per hour
So, p+q=21
⇒ q=9 miles per hour
Therefore, the speed of boat still in water is 21 miles per hour and the speed of current is 9 miles per hour.
Learn more about the downstream speed and upstream speed here:
https://brainly.com/question/17300107.
#SPJ1
The Chess Club had an activity fund balance of $321 to begin the school year. Club members spent 13 of the beginning balance to attend their first tournament, and then, spent 25% of the remaining amount to go to their second tournament.
Club members spent 13 of the beginning balance to attend their first tournament so, the Chess Club spent $77 on their second tournament.
How to calculate balance money ?To calculate the balance of a sum of money, you need to know the initial amount of money and any additions or subtractions that have been made to it.
For example, if you start with $100 and then receive an additional $50, your balance would be $100 + $50 = $150. If you then spend $25, your balance would be $150 - $25 = $125.
To determine how much money the Chess Club spent on their second tournament, we need to first calculate the remaining balance after the first tournament. The Chess Club spent 13 of the beginning balance of $321, so the remaining balance is $321 - $13 = $308.
Next, we need to calculate 25% of the remaining balance. 25% of $308 is (25/100) * $308 = $77.
Thus, the Chess Club spent $77 on their second tournament.
To learn more about calculating money refer :
https://brainly.com/question/28725725
#SPJ1
What is 3/25 × 4 in simplest form
Answer: 12/25
Step-by-step explanation: 3/25 × 4 is equaled to 3/25 × 4/1.
So first we take 3 and 4 and multiply them to make 12.
Then we take 25 and multiply it by 1 which would equal to 25.
Now we have 12/25 which cannot be simplified.
a Express the shaded area as a fraction, a decimal, and a percent of the whole.
Fraction:
Decimal:
Percent:
%
As a fraction, decimal and a percent, the shaded region is expressed as 7/10, 0.7 and 70% respectively.
What is a fraction, decimal and percentage?A fraction represents a part of a whole or, more generally, any number of equal parts.A decimal is a number that consists of a whole and a fractional part.In mathematics, a percentage is a number or ratio expressed as a fraction of 100.Given is a image as shown in the image attached.
We can express the shaded area as -
Fraction : 7/10
Decimal : 0.7
Percent : (7/10) x 100 = 70%
Therefore, in the form of fraction, decimal and a percent we can express the shaded region as 7/10, 0.7 and 70% respectively.
To solve more questions on decimals and expressions, we get -
https://brainly.com/question/29040058
#SPJ1
suppose a high school guidance counselor wants to find out the proportion of students at his high school who have tried alcohol. he sends out an email to 200 randomly chosen students asking them if they have tried alcohol. of the 92 that responded, 6% said they had tried alcohol. define nonresponse bias. describe how nonresponse might lead to bias in this study.
Due to the counselor's assumption that individuals who did not respond to the email may have tried alcohol and did not want him (the counselor) to know, a non response might cause bias in the research.
What is the contribution of non response?A non-response can contribute to a bias in the research because the counselor may believe that individuals who did not respond to the email may have tried alcohol and they did not want him (the counselor) to know.
When systematic mistakes are introduced into sampling or testing by choosing or favoring one outcome over other outcomes, it is considered to be biased in statistical research.
To know more about statistical research refer to:
https://brainly.com/question/15703255
#SPJ4
Simplify: (4x4y3)(4x4)
Answer:
16x⁸y³
Step-by-step explanation:
You want to simplify (4x⁴y³)(4x⁴).
Rules of exponentsThe relevant rule of exponents is ...
(a^b)(a^c) = a^(b+c)
SimplificationThe simplified form is ...
[tex](4x^4y^3)(4x^4) =(4\cdot4)x^{4+4}y^3=\boxed{16x^8y^3}[/tex]
express y in x terms.
y + 3x = 2
Answer:
y = 2 - 3x
Step-by-step explanation:
y + 3x = 2 ( isolate y by subtracting 3x from both sides )
y = 2 - 3x
Answer:
[tex]\huge\boxed{\sf y = 2 - 3x}[/tex]
Step-by-step explanation:
Given equation:y + 3x = 2
Subtract 3x from both sides
y = 2 - 3x
[tex]\rule[225]{225}{2}[/tex]
3. You buy horchatas and tacos and spend more than $60. Write an inequality to represent this scenario.
Answer:60=T/H
Step-by-step explanation:your spending more but u don't know what or how much u spent so therefore there is a variable AKA inequality
Greg purchased a prepaid phone card for $40.25 calls cost 5 cents a minute using this card. the credit left in the card after it is used for x minutes of calls is given by the following function
Answer: C= 40.25 - 0.05x
Step-by-step explanation:
C is the credit left
We know that the original is 40.25, so we put it as the beginning number.
Each minute costs $0.05x
where x is each minute
, so the equation is C= 40.25 - 0.05x
Mrs. Chu is ordering senior portraits of her son to send to their relatives. A medium photo
costs $22 and a large photo costs $42. She wants to spend less than $400 in total.
Select the inequality in standard form that describes this situation. Use the given numbers
and the following variables.
x = the number of medium photos
y = the number of large photos
The inequality which represents the situation is 22x + 42y < 400.
What is inequality?A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.
In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.
As per the given,
Cost of medium photos = 22x
Cost of large photo = 42y
Total cost < 400
22x + 42y < 400
Hence "The scenario is represented by the inequality 22x + 42y < 400.".
For more about inequality,
brainly.com/question/20383699
#SPJ1
Point A (-9, -3) is translated 4 left and 2 down. Where is A'?
Answer:
(-13,-5)
Step-by-step explanation:
If you start at the black points and go 4 left and 2 down, you will be at the Red point (-13,-5)
What is the result when the number 50 is decreased by 12% ?
Answer: 44
Step-by-step explanation:
100% - 12% = 88%
Take 50 times 0.88 = 44
Can someone please explain how I’m supposed to do this?
Answer:
Add Everyone's Goals
and then Divide Steeler's goal with Everyone's Goal.
Then Mutiply with 100 to get percentage.
Ans: 14.6%
If $\frac{x}{2} \frac{y}{3} = 1$ and $\frac{x}{4} \frac{2y}{3} = -1$, what i the value of the um of $x$ and $y$?
Help Pl
If x² /y³ = 1 and x^4/2y³ = -1, the value of the sum of x and y would be y^(3/2).
What are different operations in maths?The fundamental procedures for altering and combining mathematical objects, such as integers and functions, are known as operations in mathematics. These operations, which are used to carry out mathematical computations on numbers, generally include sum, subtraction, multiplication, and division. Operations may also be applied to other types of mathematical objects, like as vectors, matrices, and sets, to execute more sophisticated operations such as vector addition, matrix multiplication, and set intersection. The outcome of an operation is referred to as an operand, and the procedures for combining operands are referred to as the operation's laws. A basic idea in mathematics, operations are applied in many different areas of science and math.
How to solve?
If x² /y³ = 1, then x² = y³
If x^4/2y³ = -1, then x^4 = -2y³
The sum of x and y is x + y = (x²)^1/2 + (y³)^1/3 = y^(3/2) + y
x + y = (x^4)^1/4 + (y³)^1/3 = (-2y³)^1/4 + y^(3/2) = -y + y^(3/2)
x + y = 0 + y^(3/2) = y^(3/2)
The sum of x and y is y^(3/2)
To learn more about different operations in maths, visit:
https://brainly.com/question/11944248
#SPJ4
what is -3 ≤ x - 5? I'll mark brainliest
The solution to the inequality expression given as -3 ≤ x - 5 is x ≥ 2
How to evaluate the expression?From the question, we have the following parameters that can be used in our computation:
-3 ≤ x - 5
Add 5 to both sides of the expression
So, we have the following representation
5 - 3 ≤ x - 5 + 5
Evaluate the like terms
2 ≤ x
Rewrite the expression as
x ≥ 2
Hence, the solution is x ≥ 2
Read more about inequality at
https://brainly.com/question/25275758
#SPJ1
Determine which of the lines, if any, are
parallel. Explain.
Line a passes through (-2,5) and (2,1)
Line b passes through (-4,3) and (3,4)
Line c passes through (-3,4) and (2,-6)
Which type of graph would best compare the number of school days in California, Kansas, Alabama, and Rhode island?
Bar graph can best compare the number of school days in California, Kansas, Alabama, and Rhode island.
What is Bar graph?
A bar chart or bar chart is a chart or graph that represents categorical data in rectangular bars whose height or length is proportional to the value they represent. Bars can be drawn vertically or horizontally. Column charts are sometimes called vertical bar charts.
Bar charts show comparisons between discrete categories. One axis of the chart shows the specific category to be compared and the other axis represents the measured values. Some bar charts represent bars grouped into multiple groups to show values for multiple measurement variables.
Therefore, Bar graph can best compare the number of school days in California, Kansas, Alabama, and Rhode island.
To know more about Bar graph, visit:
https://brainly.com/question/24741444
#SPJ1
What is the difference between the x-intercept and the y-intercept? Give examples with numbers for points.
Hope this helps
Answer:
The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis.
Find the measure of the missing angles.
Answer: To find the missing angle, subtract the given angle from 180°.
Step-by-step explanation:
In △QRS , point A is between points Q and R, point B is between points R and S, and AB∥QS .
QA=23 cm , QR=41 cm , and RS=123 cm .
What is RB ?
Answer:
the length of RB is 18 cm.
Step-by-step explanation:
In △QRS, since point A is between points Q and R, and point B is between points R and S, we have that QR > QA > 0 and RS > RB > 0. Additionally, since AB∥QS, we know that the segment AB is parallel to the segment QS.
We can use this information to set up an equation to solve for RB. Since AB∥QS and QA = 23 cm, we have that QR = RB + 23. We can substitute this expression into the equation QR = 41 cm to get:
RB + 23 = 41
Solving this equation for RB, we get:
RB = 41 - 23
Therefore, the length of RB is 18 cm.
Find the additive inverse of 2x+5 .
Answer: -5-2x
Step-by-step explanation:
a door was rolled 60 times. it landed on one-11 times, two-9 times, four-12 times, five-12 times, and six - 8 times. How many times was there rolled in there 60 times?
The die was rolled 7 times in there 60 times if it is landed on one-11 times, two-9 times, four-12 times, five-12 times, and six - 8 times.
What is meant by probability?Probabilities are mathematical explanations of the probability of an event occurring or of a proposition being true. The probability of an event is expressed as a number between 0 and 1, where 0 often indicates impossibility and 1 generally indicates certainty.
Given,
Number of times a die rolled=60
And also given that it landed on,
One --- 11 times
Two -----9 times
Four -----12 times
Five -----12 times
Six -------8 times
Total number of times the die was landed on is 52 times.
Therefore, total number of times a die was rolled=60
S0, 52+x=60
x=7
Therefore, the die was rolled 7 times in there 60 times.
To know more about probability, visit:
https://brainly.com/question/11234923
#SPJ1
0.09 (100n + 1) = 0.3 (n +9)
Answer:
n = 0.3
Step-by-step explanation:
0.09(100n + 1) = 0.3(n + 9) ← distribute parenthesis on both sides
9n + 0.09 = 0.3n + 2.7 ( subtract 0.3n from both sides )
8.7n + 0.09 = 2.7 ( subtract 0.09 from both sides )
8.7n = 2.61 ( divide both sides by 8.7 )
n = 0.3