Answer:
a) The maximum height that the ball reaches is 4 meters.
b) The height of the ball when it is released from thrower's hand is 2 meters.
c) The ball will take approximately 0.966 seconds to hit the surface of Jupiter.
Step-by-step explanation:
a) Let [tex]h(t) = -12.5\cdot (t-0.4)^{2}+4[/tex], where [tex]t[/tex] and [tex]h(t)[/tex] are the time and height, measured in seconds and meters. Since this equation is in vertex form, the maximum height corresponds to the value associated with the dependent variable (height). That is:
[tex]h(t) -4 = -12.5\cdot (t-0.4)^{2}[/tex]
Hence, the maximum height that the ball reaches is 4 meters.
b) The height of the ball when the ball is released from thrower's hand is the height of the ball at [tex]t = 0\,s[/tex]. Then, we evaluate the function:
[tex]h(0) = -12.5\cdot (0-0.4)^{2}+4[/tex]
[tex]h(0) = 2\,m[/tex]
The height of the ball when it is released from thrower's hand is 2 meters.
c) The instants when the ball hits the ground are those instants [tex]t[/tex] so that [tex]h(t) = 0[/tex]. Then:
[tex]-12.5\cdot (t-0.4)^{2}+4 = 0[/tex]
[tex]-12.5\cdot (t^{2}-0.8\cdot t +0.16)+4 = 0[/tex]
[tex]-12.5\cdot t^{2}+10\cdot t +2 = 0[/tex]
By the Quadratic Formula we obtain the following roots:
[tex]t_{1} \approx 0.966\,s[/tex], [tex]t_{2}\approx -0.166\,s[/tex]
Only the first root is physically reasonable, since time is a positive real variable.
The ball will take approximately 0.966 seconds to hit the surface of Jupiter.
Evaluate the expression 8b/a if b=8 and a=2
FYI 8b/a is a fraction.
Please show your work! :)))
Answer:
-8 3/4
Step-by-step explanation:
1. Simplify it.
15 - 24 + 1 divided by 4
2. Divide.
15 - 24 + 1/4
3. Add and subtract.
-9 + 1/4
-8 3/4
Suppose that an individual has a body fat percentage of 15.9% in weighs 168 pounds how many pounds of his weight is made up of fat round your answer to the nearest 10th
Answer:
26.7pounds
Step-by-step explanation:
Suppose that an individual has a body fat percentage of 15.9% in weighs 168 pounds
This is calculated as:
Pounds of his weight that is made up of fat is calculated as
Body fat percentage × Body weight in pounds
= 15.9% × 168 pounds
= 15.9/100 = 168 pounds
= 26.712 pounds
Approximately to the nearest tenth = 26.7 pounds
What does it mean to factor a polynomial?
Answer: Factoring a polynomial is the process of decomposing a polynomial into a product of two or more polynomials.
Is it true or false that 16.371 rounded to the nearest whole number 16 feet per second
Answer:
true
Step-by-step explanation:
To round off a number to its nearest whole number, look at the first number after the decimal point. If the number is equal or greater than 5, add 1 to the number before the decimal point. If it is less than 5, add zero.
Because the first number after the decimal point is 3, which is less than 5, add zero to 16 . 16 + 0 = 16
If the number were 16.571, rounding off to the nearest whole number would give 17
CAN SOMEONE HELP ME ILL MARK THEM BRILLIANT!!!!!!!! And give extra points Find the slope of a line given the two points on the line: Answers:
1.(2,6) and (3,8)
2.(1,4) and (6,6)
3.(0,3) and (2,8)
4.(1,5) and (2,11)
5.(2,6) and (3,-2)
6.(-1,-2) and (-2,9)
7.(2,4) and (3,10)
Answer:
number 6, explanation: man urinates on fellow passenger for not being allowed to sm0ke
Step-by-step explanation:
The answer please please
A.45
B. 50
C.39.5
D. 47.5
Answer:
D. area=47.5
Step-by-step explanation:
3.5+5+7+32
what is 7 1/2 - 1 1/2 =
Answer:
6
Step-by-step explanation:
7 1/2 = 15/2
1 1/2 = 3/2
15/2-3/2=12/2
12/2=6
Answer:
6
Step-by-step explanation:
i need help will give brainliest
Answer:
-6
Step-by-step explanation:
Answer:
-6 Not sure tho
Step-by-step explanation:
Graph the inequality on the number line.
r≤−9 look at the picture
9514 1404 393
Answer:
see below
Step-by-step explanation:
The symbol ≤ means the dot at -9 will be solid, because the value -9 is part of the solution set. The line is shaded for values less than -9, because that is what the inequality is telling you are values of r that are in the solution set.
Find the missing measurement
PLEASE HELLLPP!! This is 16 points I need the help!!!
Answer:
the smaller triangle the other lengths have been divided by 4 so would guess the answer is 2
solve the equation 8.25z = -99. which equation has the same solution. look at picture
Answer:
z = -12
B has the same solution
Step-by-step explanation:
gjcgjcgcjjgcjycyjyjjgcjgchgchgc
Help me with this please
Answer:
The one you chose
Step-by-step explanation:
Y= 8x +3 What is the slope and y-intercept of the equation? Slope = 8; y-intercept = (3, 0) Slope = 3; y-intercept = (0, 8) Slope = -8; y-intercept = (0, 3) Slope = 8; y-intercept = (0, 3)
Answer:
Slope = 8 Y-intecept = (0, 3)
Step-by-step explanation:
Slope-intercept form: y = mx + b
m = slope
b = y intercept value
y = 8x + 3
m = 8
y = 3
help me plssssssssssssss
Answer:
ok
Step-by-step explanation:
Dan rolls a fair dice and flips a fair coin. What is the probability of obtaining an even number and a head
Answer: 1/4
Step-by-step explanation:
A die has 6 figures which are 1, 2, 3, 4, 5 and 6. There are 3 even numbers which are 2, 4 and 6. A coin has 2 outcomes which are head or tail.
The probability of getting an even number is 3/6 = 1/2.
The probability of getting a head is 1/2.
Therefore, the probability of obtaining an even number and a head will be:
= 1/2 × 1/2
= 1/4
A color printer prints 26 pages in 11 minutes how many pages does it print per minute
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John has 12 cans of dog food. He has two dogs and he gives each dog 2/3 of dog food each day. Does he have enough dog food to last one week?
Answer:
Yes he has enough dog food to last one week.
Step-by-step explanation:
Consider the provided information.
John has 12 cans of dog food. He has two dogs and he gives each dog 2/3 of dog food each day.
Total dog food consumed in 1 day = [tex]2\times \dfrac{2}{3}=\dfrac{4}{3}[/tex]
He has 12 cans of dog food.
Total days = [tex]12\div \dfrac{4}{3}[/tex]
Total days =[tex]12\times \dfrac{3}{4}=9[/tex]
He has food for 9 days.
Hence, yes he has enough dog food to last one week.
Length breadth and height of a room is 6 metres 5 metres and 3 metres respectively find the longest length of tape and measure the dimensions of the room exactly
Answer:
22 meters tape
Step-by-step explanation:
Step one:
given data
Length 6 metres
breadth 5 metres and
height 3 metres
Required
the perimeter of the room
Step two:
P= 2L+2W
P=2*6+2*5
P=12+10
P=22 meters tape
What is the value of |-25 + 9|?
Sorry if I put the wrong topic!
Find f(-2) for the function f(x) = -3x + 4
Answer:
Answer:
-2
Step-by-step explanation:
f(-2)= -3(-2)+4
f(-2)= -6+4
f(-2)= -2
Make t the subject of p=6t/4
Answer:
4p/6 = t
Step-by-step explanation:
multiply both sides by 4 to get rid of the fraction
4p = 6t
divide both sides by 6 to get "t" by itself
4p/6 = t
How do you write 13/15 as a decimal?
Answer:
Decimal=0.8667
Percent=86.67%
You are welcome
If Priya buys 3 comics, how much money will she have remaining?
Answer:
about 8 dollars
Step-by-step explanation:
3 is x on the graph, so the corresponding y coordinate of the point on the line is 8
how to multiply and add number subtracting them and equating them
Answer:
Over time, mathematicians have developed a set of rules called the order of operations to determine which operation to do first. The rules are: Multiply and divide from left to right. Add and subtract from left to right.
Step-by-step explanation:
Order of operations tells you to perform multiplication and division first, working from left to right, before doing addition and subtraction. Continue to perform multiplication and division from left to right. Next, add and subtract from left to right.
Answer:
You got to give me an qestion with numbers but hears how you do it.
Step-by-step explanation:
The rules are, Multiply and divide from left to right. Add and subtract from left to righ
Hope this helps
can someone help please
I NEED HELP ASPA
A small university enrolls in-state and out-of-state students. Enrolled in their most recent freshman class was 243. The school reported that it enrolled seven in-state students for every two out-of-state students. How many of each type of student was enrolled in the freshman class?
For geometry class
Answer:
4 < x < 36; values that apply are 5, 16, 20, 35
Step-by-step explanation:
use triangle inequality theorem:
the sum of any two sides is greater than the third
16 + x > 20; x > 4
16 + 20 > x; x < 36
what is the value of 4 - 3
and what is the value of negative 8
Answer:
1
-8
Step-by-step explanation:
4-3=1
and just set a - before 8
HERES THE QUESTIONS CLICK ON THE ATTACHMENT TO SEE IT
Answer:
I believe the answer is C