Answer:
At time t=0.5, the stone reaches a maximum height of h= 35.
Step-by-step explanation:
A quadratic function or function of the second degree is a polynomial function defined by:
f(x)=a*x² + b*x +c
The maximums and minimums of a function are the largest (maximum) or smallest (minimum) values of a function.
The vertex of the function is a point that is part of the parabola or quadratic function that coincides with the maximum or minimum. When a> 0, the vertex of the parabola is at the bottom of it, being a minimum (that is, the parabola opens "upward"), and when a <0 the vertex is at the top , being a maximum (that is, the parable opens "downward").
h represents the value of its abscissa (value of x).
k represents the value of its ordinate (value of f (x)).
The value of h can be calculated with the formula [tex]h=-\frac{b}{2*a}[/tex]
The value of k must be obtained by substituting the value of h in the function f(x)=a*x² + b*x +c
In this case: a=-16, b=16 and c=32. As a <0 the vertex is at the top , being a maximum. So:
[tex]h=-\frac{16}{2*(-16)}=0.5[/tex]
Substituting the value of h in the function f(x)=-16*x² + 16*x +32 you get:
f(0.5)=-16*0.5² + 16*0.5 +32
f(0.5)= 35
At time t=0.5, the stone reaches a maximum height of h= 35.
The mean for this set of data is 18. Which number could be put in the blank to make this statement true?
16 10 22 ___
A. 84
B. 24
C. 48
D. 72
The mean of the data is 18 and the missing statement is x = 24
What is Mean?The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.
Mean = Sum of Values / Number of Values
Given data ,
Let the data be represented as A
Now , the value of A = 16 , 10 , 22 , x
Let the mean of the data be M = 18
To find the mean of the data set, we need to add up all the numbers and divide by the total number of numbers:
(16 + 10 + 22 + x) / 4 = 18
We can simplify this equation by multiplying both sides by 4 to get rid of the fraction:
16 + 10 + 22 + x = 72
Now we can solve for x by subtracting the three known numbers from both sides:
x = 72 - 16 - 10 - 22
x = 24
Therefore, the number that could be put in the blank to make the statement true is 24
To learn more about mean click :
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A line with a slope of 1/3 passes through (-5,r) and (4,1).
To make this work correctly, the value of r=
Answer: Add the 1/3 to look for the r
what is 8 x 23
+ 6
3 + 2
Answer:
8x23 +6+3+2 = 195
Step-by-step explanation:
used PEMDAS <3 hope this helps
Abby wants to buy a new purse for $23.57. She gives the cashier a $20 bill and a $10 bill. How much change does she get back?
Answer:
$ 6.43
Step-by-step explanation:
Answer:
She gets back $6.43 dollars as change
Step-by-step explanation:
If you add 20 and 10 you get 30, and if u subtract 23.57 from 30 like this, 30.00 - 23.57
30.00 29.99
- 23.57 - 23.57
------------------
06 .42
Hope this help :)
3.) There are 3 brothers. The first brother is twice as old as the second. The second is twice as old as the third.
If the sum of their ages is 28, how old is each brother?
Answer:
The first brother is 16, the second brother is 8 and the third brother is 4.
Step-by-step explanation:
Since the sum of all the brothers is 28, that means the cap of how old the oldest can be is 28. I just stated with numbers less then 28 that were dividable by two which means all the numbers had to be. So 16 for the first, 8 for the second and 4 for the youngest is the right answer I hop.
hi
i made u scroll
ur
going
to
get
31 points
Answer:
Thanks for free points have a nice day :)
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2 sides of a triangle have measures of 5 inches and 11 inches which measure could be the length of the third side
Answer:
the third side must be greater than 6 but less than 16
Step-by-step explanation:
use triangle inequality theorem - 3 scenarios (one of which is discounted because it produces a negative and a side of a triangle cannot be negative)
5 + 11 > 3rd side (n) n < 16
5 + n > 11 n > 6
11 + n > 5; n > -6 discounted
in the spring temperatures rise on average 6 degrees every 5 days. at that rate how many degrees would the temperature have risen after 30 days
Answer:
Ok, this is pretty simple. So, if it rises 6 degrees every five days, then we have to figure out how many "five days" are in 30 days. It would be 6! So now all we have to do is multiply. 6 times 6 equals 36 degrees.
The answer is 36 degrees.
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
If it rises 6 degrees every 5 days, we just need to figure out how many 5 days are in 30 days. When you solve, you'll get 6. Now we can just multiply 6 x 6 = 36. Hope this helped, please mark brainliest if it did
Which scales are equivalent to 1 inch to 1 foot? Select all that apply. Group of answer choices 1 to 12 (1/12) to 1 100 to 0.12 5 to 60 36 to 3 9 to 108
Answer:
1 to 125 to 609 to 108Step-by-step explanation:
There are 12 inches in one foot so the equivalent ones are:
1 to 12
This shows that there are 12 inches in one foot so is equivalent.
5 to 60
5/60 = 1/12
This is equivalent because it shows that 12 inches are required to make a foot.
9 to 108
9/108 = 1/12
This is also equivalent for the same reasons as above.
Which of the following best describes the graph below?
Answer:
The correct option is;
A. It is a one-to-one function
Step-by-step explanation:
A function f(x), is a one to one function when each value in the range is given by each unique value in the domain such that each "x" value produces a unique "y" value.
The given graph has a domain of -2 ≤ x < ∞
Within the domain plotted in the graph, all lines with equation "x" = -2, -1, 0..., 4, 5 crosses the graph only once, therefore, for each value of "x", there is only one value of "y", which gives the relationship between the "x" and "y" values as one to one function
Find an equation of the line perpendicular to the graph of 14x-7y=8 passing through the point at (-2,5)
Answer:
Equation of line perpendicular to given graph is:
[tex]y = -\frac{1}{2}x+4[/tex]
Step-by-step explanation:
Given equation of line is:
14x-7y=8
First of all, we have to convert the given equation into slope-intercept form to find the slope of the line
The slope-intercept form is:
[tex]y = mx+b[/tex]
Now
[tex]14x-7y=8\\14x-8 = 7y\\\frac{7y}{7} = \frac{14x-8}{7}\\y = \frac{14}{7}x - \frac{8}{7}\\y = 2x - \frac{8}{7}[/tex]
The co-efficient of x is 2 so the slope of given line is 2
Let m1 be the slope of line perpendicular to given line
The product of slopes of two perpendicular lines is -1
[tex]m.m_1 = -1\\2.m_1 = -1\\m_1 = -\frac{1}{2}[/tex]
The equation for line perpendicular line to given line will be:
[tex]y = m_1x+b\\y = -\frac{1}{2}x+b[/tex]
To find the value of b, putting (-2,5) in the equation
[tex]5 = -\frac{1}{2}(-2) + b\\5 = 1+b\\b = 5-1\\b = 4[/tex]
The final equation is:
[tex]y = -\frac{1}{2}x+4[/tex]
Hence,
Equation of line perpendicular to given graph is:
[tex]y = -\frac{1}{2}x+4[/tex]
PLS PLS HELP ME I WILL GIVE BRAINLIST AND SO MANY POINTS PLS HELP ME
Answer:
Both are circle equations. One is for area, one is for circumference.
Step-by-step explanation:
Both are circle equations. One is for area, one is for circumference.
What does the question mark stand for in the following when you factorise:
4d3 + 6de =? (2d2 +3e
Answer:
Question mark stands for 2d
Step-by-step explanation:
Here, we want to get what the question marks stands for
As we can see, the left was factorized to give the right
So, we have that ;
4d^3 + 6de = 2d(2d^2 + 3e)
so the question mark stands for 2d
The pendulum swings at an arc of 30 cm and its successive swings reduced to 10% of the previous swings. What is the total distance travelled by the pendulum after 5 swings? This problem is an example of what sequence?
Answer:
[tex]S_g= 33.333cm[/tex]
Step-by-step explanation:
From the question we are told that
Arc of 30 cm
10% reduction after each swing
Generally sum of geometric sequence is given by the equation
[tex]S_g=\frac{a(1-r^n)}{1-r}[/tex]
Mathematically solving for total distance traveled we have
[tex]S_g=\frac{30(1-(0.10^5)}{1-(0.10)}[/tex]
[tex]S_g=\frac{30}{0.9}[/tex]
Therefore the total distance traveled by the pendulum after 5 swings
[tex]S_g= 33.333cm[/tex]
3Y - 15 LESS THAN 7Y+ 6
Answer:
y>-9/4
use this site too, put in an any equation itll solve it in a second and give you a step by step thing to show you how to do it.
Maribel sold 20% of the cupcakes she made. If she sold 35 cupcakes, then she made how many
cupcakes in all.
Answer:
20% x 5= 100%
35 x 5= 175
she has a total of 175 cupcakes
What is the interest on Rr 20,000 if the interest rate is 15%?
Answer: Rr.3,000
Step-by-step explanation:
The interest is the amount that accrues on a principal that was invested or a cost that was incurred.
It is based on a certain interest rate which in this case is 15%.
The principal is Rr. 20,000.
Interest = Principal * Interest rate
= 20,000 * 15%
= Rr.3,000
Write the ratio as a fraction in simplest form.
51:9
Answer:
The ratio of 51:9 in it's simplest form is 17:3.
what is the ordered pair to y=7x-2
A company rents out 16 food booths and 23 game booths at the county fair. The fee for a food booth is $100 plus $9 per day. The fee for a game booth is $95 plus $5 per dat. The fair lasts for d days, and all the booths are rented for the entire time. What is the simplified expression for the amount, in dollars, that the company is paid.
Answer:
3785 + 259d
Step-by-step explanation:
cost of food booths = 16 * (100 + 9d) = 1600 + 144d
cost of game booths = 23 * (95 + 5d) = 2185 + 115d
total = 1600 + 2185 + 144d + 115d = 3785 + 259d
PLS! ANSWER ASAP!!! 45 POINTS!
Answer:
3. is 5
4. is 18
5. is 8
Step-by-step explanation:
i did try so forgive me if im wrong
there is 1 person he has a friend how do you add him on brainly and how many people are there in total?
Leah is purchasing a condominium and is financing $515,000 with a 20-year 5/1 ARM at 5.25% with a 1/12 cap structure. What will her payments be at the beginning of year 6? (3 points) a $3155.38 b $3701.45 c $3470.30 d $2908.95
Answer:
$3701.45. I hope this helps :)
Step-by-step explanation:
James drove to the lake and back the trip there took four hours and the trip back took six hours he average 20 mph faster on the trip there on on the return tip find Jameses average speed on the trip
Answer: 60 mph
Step-by-step explanation:
Question wants the speed to the lake.
It took James 4 hours to get to the lake and he drove at a speed 20 mph faster than when he came back.
It took him 6 hours to come back.
Assuming the speed James used on the return trip is x:
Expression for distance is:
4(x + 20) = 6x
4x + 80 = 6x
2x = 80
x = 80/2
x = 40 mph
Speed to the lake = 40 + 20
= 60 mph
Brian makes $40 per hour tutoring students in music
theory, and Rebecca makes $20 per hour walking
dogs. Last month, Brian worked for 5 fewer hours
than Rebecca did, and they earned a total of $1,300.
How many hours in total did they work at their
part-time jobs?
A) 25
B) 35
C) 45
D) 55
Answer:
55
Step-by-step explanation:
Answer: D.)
Step-by-step explanation:
40*5=200, This is Brians total $'s
1,300-200=1,100, This is Rebeccas total $'s
1,100/20= 55, This is the total hours worked.
What should be done to both sides of the equation in order to solve -5 m = -40?
Multiply by -5.
Multiply by -40.
Divide by -5.
Divide by -40.
Answer:
I know for a fact that it is Devide by nagative 5
Step-by-step explanation:
a bus traveled for 540 miles in 12 hours. was it traveling at a faster or slower rate than the car? show your work to explain
Answer:
It is at 45. So you need to determine is it faster of slower. You didn't put the whole question.
Step-by-step explanation:
4(46 + 3) + 2b = 3 (6 - 11)
Answer:
[tex]4(46 + 3) + 2b = 3(6 - 11) \\ 184 + 12 + 2b = 18 - 33 \\ 196 + 2b = - 15 \\ 2b = - 15 - 196 \\ \frac{2b}{2} = \frac{ - 211}{2} \\ b = - 105.5[/tex]
helpppp!! right answer only pleaseee
Answer:
linear equation
Step-by-step explanation:
it's the only one that matches the description :)
