Answer:
Step-by-step explanation:
Given the height of the ball expressed as:
h(t) = −16t^2 + 64t + 80
The ball hits the ground the when h(t) = 0
Substitute h(t) = 0 and find t as shown:
h(t) = −16t^2 + 64t + 80
0 = −16t^2 + 64t + 80
−16t^2 + 64t + 80 = 0
Divide throigh by -16
t^2-4t-5 = 0
t^2-5t+t-5 = 0
t(t-5)+1(t-5) = 0
(t+1)(t-5)= 0
t+1 = 0 and t - 5 = 0
t = -1 and t = 5
time can not be negative:
t = 5seconds
Hence it will take 5 secs before the ball his the ground
Solving a quadratic equation, it is found that the ball hits the ground after 5 seconds.
The height of a ball after t seconds is given by:
[tex]h(t) = -16t^2 + 64t + 80[/tex]
It hits the ground at the values of t for which:
[tex]h(t) = 0[/tex]
Then
[tex]-16t^2 + 64t + 80 = 0[/tex]
Simplifying by -16:
[tex]t^2 - 4t - 5 = 0[/tex]
Which is a quadratic equation with coefficients [tex]a = 1, b = -4, c = -5[/tex].
Then:
[tex]\Delta = (-4)^2 - 4(1)(-5) = 36[/tex]
[tex]x_{1} = \frac{-(-4) + \sqrt{36}}{2} = 5[/tex]
[tex]x_{2} = \frac{-(-4) - \sqrt{36}}{2} = -1[/tex]
We want the positive value, thus, the ball hits the ground after 5 seconds.
A similar problem is given at https://brainly.com/question/24764843
What is 300 as a decimal
Answer:
300.00
Step-by-step explanation:
Find the x-intercept in the function: 3x-2y =6
Answer:
x=(2,0)
Step-by-step explanation:
3x-2y=6
3x-2(0)=6
3x=6
x=2
Find the 15th term of the arithmetic sequence if the first term is -3 and the common difference is 2. Write the equation first, then substitute to find the answer
Answer:
25.
Step-by-step explanation:
f(x)=-3+2(x-1)
f(15)=-3+2(15-1)
f(15)=-3+2(14)
f(15)=-3+28
f(15)=25
Can you help me with this?
Answer:
I need some more context
Step-by-step explanation:
Evaluate the expression when b= 2.
12 - b =
Answer:
Well, if b = 2, then 12 - b = 10
Step-by-step explanation:
hope this helps, lol! <3
what is the rate of change for the liner relationship modeled in the table?
i'm sorry wheres the picture?
The weights of children in the Egyptian village of Nahya were recorded. Here are the mean weights of the 170 children in that village: Age(months) 1 2 3 4 5 6 7 8 9 10 11 12 Weight (kg) 4.3 5.1 5.7 6.3 6.8 7.1 7.2 7.2 7.2 7.2 7.5 7.8 a. Make a scatter plot of mean weight against age. b. Is there a positive or negative association between the two variables
Answer:
Kindly check explanation and attached picture
Step-by-step explanation:
Given the data:
Age(months) : 1 2 3 4 5 6 7 8 9 10 11 12
Weight (kg) : 4.3 5.1 5.7 6.3 6.8 7.1 7.2 7.2 7.2 7.2 7.5 7.8
a. Make a scatter plot of mean weight against age.
Scatter plot of mean weight against age can be found in the attached picture
b. Is there a positive or negative association between the two variables
There is a positive association between the weight and age variable ; as weight increases as age increases. Also the slope of the best fit line is positive
For f(x) = −2x + 12, find f(x) when x = −3.
Answer:
f(-3)= 18
Step-by-step explanation:
step 1: sub -3 in the equation f(x).
f(x)= -2x+12
f(-3)= -2×-3+12
step2: simplify to solve for f(-3).
=6+12
=18
Graph the solution of the inequality 2x - (3 – x) > x + 1 on the number line.
Answer:
do multiply
Step-by-step explanation:
and take line in right side
The solution of the inequality 2x - (3 – x) > x + 1 is the values greater than 2. Therefore, option D is the correct answer.
The given inequality is 2x - (3 – x) > x + 1.
What is the solution of the inequality?A solution for an inequality in x is a number such that when we substitute that number for x we have a true statement.
Now, 2x - (3 – x) > x + 1 can be solved as follows:
2x -3+x>x+1 (Simplify the bracket)
⇒3x-3>x+1
Subtract x on both the sides of the inequality.
That is, 3x-3-x>x+1-x
⇒2x-3>1
Add 3 on both the sides of the inequality.
That is, 2x>4
Divide 2 on both the sides of the inequality.
That is, 2x÷2>4÷2
⇒ x > 2
The solution of the inequality 2x - (3 – x) > x + 1 is the values greater than 2. Therefore, option D is the correct answer.
To learn more about the solution of the inequality visit:
https://brainly.com/question/22010462.
#SPJ5
There’s a cat on the tree! Joe puts a 13-foot ladder against the tree so that its top end is exactly where the cat is at. The bottom of the ladder is 5 feet from the base of the tree. How high is the cat from the ground?
Answer:
12 feet
Step-by-step explanation:
A die is rolled thrice. What is the probability that the sum of
the rolls
rolls is atleast 5
Answer:
1 out of 6
Step-by-step explanation:
no matter how many times you roll it the chances will always be the same
Answer:
there is a 1/6 chance
Step-by-step explanation:
there are 216 total combinations but only 36 combinations that end in 5.
36/216 = 1/6.
Hope this helps!
SOMEONE PLEASE PLEASE HELP!!!!
Answer:
49[tex]\sqrt{21}[/tex]
Step-by-step explanation:
You multiply the two sevens to get the 49, and the square root of three has to be multiplied as well
Answer: 49 √3 or 84.87049
Step-by-step explanation:
A random sample of 17 hotels in Boston had an average nightly room rate of $165.40 with a sample standard deviation of $21.70. The critical value for a 98% confidence interval around this sample mean is ________.
Answer:
153.158 ; 177.642
Step-by-step explanation:
Given the following:
Sample mean (m) = 165.40
Sample standard deviation (s) = 21.70
Sample size (n) = 17
α = 98%
Confidence interval = m ± z(SE)
z at 98% = 2.326
SE = s/√n
SE = 21.70/√17 = 5.2630230
Hence,
Confidence interval = 165.40 ± 2.326(5.2630230)
165.40 - 12.241791498 OR 165.40 + 12.241791498
153.158 ; 177.642
Evaluate the expression, if x = 5 and y = 3. x + y = 1*
Evaluate the expression,
if x = 5 and y = 3.
x + y - 1
Answer:
7
Step-by-step explanation:
If you plug in the variable for x and y you get:
5+3-1
Use the order of operations to solve:
5+3-1
8-1
7
Which phrase describes an unknown or changeable quantity?
Answer:
b
Step-by-step explanation:
you can make it into an equation while the others you can just solve them
HELPPPPP!! Is the expression 6 + 3 = 9 an equation ? Explain.
Answer:
No, because an expression is already solved and an equation is where you have to solve it
Step-by-step explanation:
Answer:
No as said you have to solve and equation yet an expression is already solved for your viewing.
Step-by-step explanation:
Is anyone willing to answer this question I can’t do it
Answer:
Not 100% sure on this make sure you double check
Step-by-step explanation:
X- 10
Y- 10
Slope- (-1)
like I said this could be wrong
If we double the sum of the numbers x and -21, we get the number -100. What is x?
Step-by-step explanation:
2{x + (-21) }= –100
= 2x – 42 = –100
= 2x= –100 + 42
= 2x= –58
= x = –58/2
x= –29
what segment is equal in length to the segment XZ ? pls help
Answer:
Segment XY or YX (they are the same)
Step-by-step explanation:
The marks in the sides indicate congruency.
Write the decimal represented by each shaded square.
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
The decimal would be .70 because there's 70 squares that are shaded.
What is √5⋅√7+2√35 expressed in simplified form?
Answer:
3√35
Step-by-step explanation:
since √(ab) = √a·√b you can write √5·√7 as √35
So you have √35 + 2√35 = 3√35
A day care center has 52 children. Each teacher has the same number of children. How many children could each teacher at the center have.
Answer:
The answer to this question would depend on how many teachers are available in the day care center.
If every teacher is to have the same number of children then the number of teachers will be factors of 52 which are more than 1;
2, 4, 13, 26, 52
If there are 2 teachers, each teacher will have 26 children
If there are 4 teachers, each teacher will have 13 children
If there are 13 teachers, each teacher will have 4 children
If there are 26 teachers, each teacher will have 2 children
If there are 56 teachers, each teacher will have 1 child
That was no help what is it
Answer:
I am confused in many ways
Evaluate the expression for x = 5, y = 3, and z = 14.
5x−6y+20z4yz
Answer:
5(5)-6(3)+20(14)4(3)(14)
25-18+47040
7+47040= 47047
Answer:
4
Step-by-step explanation:
because on my k12 school say so so ya
How many times does three go into 35 m
Answer:
11 times
Step-by-step explanation:
35 divided by 3 = something like 11.6666666666. . .
That means that 3 only goes into 35 11 times since you don't count the 0.666666666. . .
Hope I helped :)
Please comsider Brainliest :)
[tex]\huge\boxed{11\;times.}[/tex]
We have the question...
How many times does 3 go into 35?
Well, this is pretty simple all you have to do is count up by 3s until you get to the number. Remember, it doesn't have to be exact though. So, here we go count by threes 11 times. We get 33 from 3*11. Therefore, your answer will be 11 times.
HELP PLEASEEEEEEEEEEE
Answer:
I not see the number 2
I think that is number 2
Answer:
first and last one should be the answer (not sure about the first, cant see it too good)
The answer is 118 as well right??
Answer: 118 is the correct degree
Step-by-step explanation:
Solve.
-7 + (-5), es -
+ 8
the awnser is -12,x-1{+8}
CHECK PHOTO Intercepts of the graph BE SURE TO BE CORRECT PLEASE no work needed
Answer:
y= (0, .7)
x= (-1.2, 0)
Step-by-step explanation:
r u taking a test?
the range of absolute value
of sinx
9514 1404 393
Answer:
[0, 1]
Step-by-step explanation:
The sine function can take on any value between -1 and 1. Then the absolute value of the sine function will have a range from 0 to 1, inclusive.
In interval form, the range of sin(x) is [0, 1].