Given:
The height of ball is represented by the equation is
[tex]h=-16t^2+6t+4[/tex]
To find:
The time taken by ball to hit the ground.
Solution:
First we need to find the zeroes of the given equation. So, for zeroes h=0.
[tex]-16t^2+6t+4=0[/tex]
Here, [tex]a=-16,b=6,c=4[/tex]. Usingquadratic formula, we get
[tex]t=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
[tex]t=\dfrac{-6\pm \sqrt{6^2-4(-16)(4)}}{2(-16)}[/tex]
[tex]t=\dfrac{-6\pm \sqrt{36+256}}{-32}[/tex]
[tex]t=\dfrac{-6\pm \sqrt{292}}{-32}[/tex]
[tex]t=-\dfrac{-6+ 17.088}{-32},\dfrac{-6+ 17.088}{-32}[/tex]
[tex]t=0.7215,-0.3465[/tex]
Time cannon be negative. So, at t=0.7215 the ball will hit the ground. Time taken by ball to hit the ground is
[tex]t=0.7215-0[/tex]
[tex]t=0.7215[/tex]
Round your answer to the nearest hundredth.
[tex]t\approx 0.72[/tex]
So, the ball will hit the ground after 0.72 seconds.
Therefore, the correct option is A.
Answer:
0.72
Step-by-step explanation:
I took the quiz
-1/2y=1/2+5 what is the solution?
Answer:
-11
Step-by-step explanation:
-1/2y=1/2+5
- 1/2 y = 1+10 (by taking lcm)
2
[tex]\frac{-1}{2}[/tex] x 2y = 11
y = -11
[tex] \frac{ - 1}{ \: \: \: 2} y = \frac{1}{2} + 5[/tex]
[tex] \frac{ - 1}{ \: \: \:2} \times y = \frac{1}{2} + 5[/tex]
[tex] \frac{ - 1}{ \: \: \:2} \times y = \frac{11}{2} [/tex]
[tex]y = \frac{11}{2} \div \frac{ - 1}{ \: \: \:2} [/tex]
[tex]y = \frac{11}{2} \times \frac{ \: \: \: 2}{ - 1} [/tex]
[tex]y = \frac{ \: \: 22}{ - 2} [/tex]
[tex]y = - 11[/tex]
The value of y = -11
Therefore :-
[tex] \frac{ - 1}{ \: \: \:2} \times - 11 = \frac{1}{2} + 5[/tex]
If ABC has vertices A (3,-1), B (2, 1), and C(5,3), find vertices of its image A'B'C'
after dilation with a scale factor of 2 about the origin.
OA) A (3/2, 1/2), B'(1,1/2), C'15/2,3/5)
OB) A 16, -2), B'(4,2), C (10, 6)
OC) A (6,2), B (4, 2), C'(10, 6)
OD) A (6,2), B (2, 2), C'(10, 6)
Answer:
d
Step-by-step explanation:
The vertices of image A'B'C' after dilation with a scale factor of 2 about the origin are , A' (6, -2), B' (4,2), and C' (10, 6).
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
ABC has vertices A (3, -1), B (2, 1), and C(5, 3).
Now, After dilation with a scale factor of 2 about the origin the vertices of A', B' and C' are,
A' = 2 × (3, - 1)
= (6, - 2)
B' = 2 × (2, 1)
= (4, 2)
C' = 2 × (5, 3)
= (10, 6)
Learn more about the multiplication visit:
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The sum of three consecutive integers is 186. What are the integer
Answer: 61, 62, 63
Step-by-step explanation:
61 + 62 + 63 = 186
2 tons of bark cost $9,960.00. What is the price per ounce?
Show work plz
Answer:
0.155625 or .16 cents per ounce
Step-by-step explanation:
2 tons is 64000 ounces so 9960 divided by 64000 is .155625
Y is 1 less than 2 times X
x y
2
3
4
find three consecutive numbers such that three times the first number is equal to 9 more than the sum of the other two.
Answer:
12, 13, 14
Step-by-step explanation:
Three consecutive numbers means three numbers in a row, so if n is the first number, the second number is one more than n (which is n+1) and the third number is one more than that (which is n+2)
So three times (3 x) the first number (n) is equal to (=) nine more than (9 +) the sum of the other two ( (n+1) + (n+2) )
3 times n can be written as 3n
So 3n = 9 + (n+1) + (n+2)
3n = 9 + n + 1 + n + 2
3n = 9 + 1 + 2 + n + n
3n = 12 + 2n
Subtract 2n from each side
3n - 2n = 12 + 2n - 2n
1n = 12
n = 12
So the first number is 12, the second number is 12 + 1 (13) and the third number is 12 + 2 (14)
The numbers are 12, 13, 14
Hope this helps :)
Brainliest
to who helps me plz I need it
AB || CD and AC is oblique ;
So : Angle ( BAC ) = Angle ( DCA )
_________________________________
∆ ABC - ∆ ACD :
(1) AB = CD
(2) Angle ( BAC ) = Angle ( DCA )
(3) AC = AC
So According to (1) , (2) , (3) :
∆ ABC =~ ∆ ACD
Well, if two triangles are deposited, all their components are equal peer to peer.
So : AD = BC
What is the inverse of the statement "If Mike did his homework, then he will pass this test"?
A. If Mike passes this test, then he did his homework.
O
B. If Mike does not pass this test, then he did not do his homework.
O C. If Mike does not pass this test, then he only did half his homework.
D. If Mike did not do his homework, then he will not pass this test.
Answer:
d. if mike did not do his homework, then he will not pass this test
The sum of three numbers is 154
The second number is 8 times the first.
The third number is 16 less than the second.
What is the third number?
Answer:
64
Step-by-step explanation:
x+8x+(8x-16)=154
17x=170
x=10
10+80+64=154
divide 6.7cm into 4 equal parts
Answer:
I used a calculator and it said "1.675"
Step-by-step explanation:
Issun Sengeki... Messatsu!
Plug "6.7/4" and 1.67500 appears.
Quote: "Weakness is a disease... I am the cure!"
- Akuma
******Absolute Value******
l-7al=28
Answer:
a = 4
Step-by-step explanation:
28/ 7 = 4
l7al= 28
7x4 = 28
Absolute Value: the magnitude of a real number without regard to its sign.
plz mark brainliest
Answer:
a=-4
Step-by-step explanation:
-7a=28
7a/7=-28/7
a=-4
5. Solve the equation 5x = 2x. Show your work.
Answer:
x = 0
Step-by-step explanation:
5x = 2x
5x - 2x = 0
3x = 0
x = 0×3
x = 0
a bicycle that usually sells for $230 is on sale for 25% off. find the sale price.
Answer:
$172.50
Step-by-step explanation:
Simply do 230 x 0.75 which is the percent subtracted by 25 that decreases a value and makes it less
5h-13=12 ca I have an
answer
Answer:
h=5
Step-by-step explanation:
Let's solve your equation step-by-step.
5h−13=12
Step 1: Add 13 to both sides.
5h−13+13=12+13
5h=25
Step 2: Divide both sides by 5.
5h /5 = 25 /5
h=5
I this helps may I get brianliest?
Answer: h = 5
Step-by-step explanation: 5h + 13 = 12 -13 + 5h = 12 ( h ) 0 + 5h = 12+13 5h = 25 ~ 5
Which ordered pair would form a proportional relationship with the point graphed below?
Answer:
C
Step-by-step explanation:
It is C because it has a proportional value through the diameter of the graph. With that you will also be able to figure this out by seeing that the light in between the graph is even. The numbers that the graph a line with are similar to the answer C.
Kasey asked 6 of her friends how many episodes of their favorite show they
watched during the quarantine. Kasey determined the following measures about
the number of episodes watched by the 6 friends. Mean: 10, Median: 9.5, and
Range: 14. The three friends who watched the most episodes over the quarantine
watched 18, 13, and 12. How many episodes did the other 3 friends watch?*
O A. 4,6,7
B. 4, 4,7
C. 5, 8, 9
O D. 2,3,5
Answer:
A
Step-by-step explanation:
6 friends
Mean - 10
Median - 9.5
Range - 14
3 friends watched 12, 13, and 18 movies.
Let's find the sum, this will help us find the total number of movies the other 3 friends watched.
12 + 13 + 18 = 43
The mean is all their movies added toether, divided by the number of friends.
m = number of movies the other friends watched.
(43 + m) / 6 = 10 Multiply each side by 6
43 + m = 10 * 6
43 + m = 60 Subtract 43 from each side
m = 60 - 43
m = 17
So we know the total movies the other friends watched is 3.
A. 4+6+7 = 17
B. 4+4+7 = 15
C. 5+8+9 = 22
D. 2+3+5 = 10
We know the answer is A.
We can check it by looking at the Median, the median is the middle number, if there are an even number of samples, you add the 2 middle numbers together and divide by 2.
4, 6, 7, 12, 13, 18
So 7+12 = 19
19/2 = 9.5
So we know for sure A is correct!
Given x∥y and m∠2=23° .
What is m∠7?
Enter your answer in the box.
Answer:
angle2=23°
angle7=angle5
angle2=angle6
so,angle8=23°
total angle = 180°
angle7=180°-46°=134°÷2=67°
Using corresponding angles are equal property we found that m∠7 = 157°
What are corresponding angles?When two parallel lines are intersected by an transversal line then the pair of angles formed on one same side of transversal on both parallel lines are corresponding angles. As in the figure attached ∠ 1 and ∠5 are corresponding angles.∠4 and ∠8 are also corresponding angles.
Corresponding angles are always equal.
Given that x and y are parallel lines.
Then ∠2 and ∠6 are corresponding angles , therefore m ∠2 = m ∠6
Given that m∠2 = 23°
⇒ m∠6 = 23°
As ∠7 and ∠6 are on same line hence they are supplementary
m∠7 + m∠6 = 180°
⇒m∠7 + 23° =180°
⇒m∠7 =180°- 23° = 157°
Therefore, the measure of angle ∠7 is 157°
Also, learn more about angles from the link below:
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solve 2r+3<7 and -r+9≤2
Answer:
r<2
r greater than or equal to 7
Step-by-step explanation:
The solution for r in the two of the given inequalities is r<2 and r ≥ 7, respectively.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
The given inequalities can be solved as shown below.
1.)
2r + 3 < 7
Subtract 3 from both sides of the inequality,
2r + 3 - 3 < 7 - 3
2r < 4
Divide both the sides of the inequality by 2,
2r/2 < 4/2
r < 2
2.)
-r + 9 ≤ 2
Subtract 9 from both sides of the inequality,
-r + 9 - 9 ≤ 2 - 9
-r ≤ - 7
Multiply from both sides of the inequality by -1,
(-r × -1) ≤ (-7 × -1)
r ≥ 7
Hence, the solution for r in the two of the given inequalities is r<2 and r ≥ 7, respectively.
Learn more about Inequality here:
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If AC = 150, AB = 4x+34 and BC = 6x+6, what is the value of x?
Answer:
x = 11
Step-by-step explanation:
If we assume that points A, B, and C are on the same line with B between A and C, then we have ...
AB +BC = AC
(4x +34) +(6x +6) = 150 . . . . use the given expressions
10x +40 = 150 . . . . . . . . . . . . collect terms
10x = 110 . . . . . . . . . . . . . . . . subtract 40; next, divide by 10
x = 11
x times x is X^2, right? I'm having a brain toot and I can't remember. plz answer asap
Will mark brainlest for a person who answers first IF YPU HAVE A EXPLANATION TO
Answer:
TAG is described as an acute angle.
Step-by-step explanation:
This is because TAG is an angle that is less than 90 degrees.
Answer:
acute
Step-by-step explanation:
TAG
think of the angle, the gap is small and T is close to G
if it would be right the T would be upright
if it was straight T would lay flat corresponding to G making a line
if it was obtuse the gap would surpass the right angle outward
What clockwise rotation will create the same image as 70 degree counterclockwise
Answer:
Duh , 70
Step-by-step explanation:
Bob has 10 apples after 4 hours he has 6 apples. Find the slope l the line that indicates the rate that bob eats apples at.
Answer:
y= -x + 10
Step-by-step explanation:
At 0 hours = Bob has 10 apples
At 4 hours = Bob has 6 apples
In 4 hours Bob has eaten 4 apples
Using linear graphs where y = the apples remaining and x = the hours passed
y = mx + c
We already know some coordinates:
(0,10) - 0 hours 10 apples remaining
(4,6) - 4 hours 6 apples remaining
c is the y intercept and m is the gradient
We already have the y intercept (where x = 0) which is (0,10)
So first part of our rule is done: y = mx + 10
The gradient is rise / run
Rise = -4 and Run = 4
-4/4 = -1
So the gradient is -1 and we add that to our rule
So final rule is y = -x + 10
Owen is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. The one-time fee to join the gym is $100 and the total cost of membership, including the joining fee, would be $200 for 2 months. Write an equation for C,C, in terms of t,t, representing the total cost of the gym membership over tt months.
Answer: 50t+100
Step-by-step explanation:
plzzz help with this on gusssssssyyss
Answer: a=3
Step-by-step explanation: add 63 to both sides. Then divide both sides by 9 to get a=3.
with the equation 4 + 5x = -11 the value of x is
Answer:
4+5x= -11
5x= - 11-4
5x= - 15
x= - 15÷5
x= - 3
What is
3a + 7 - 2a ?
Answer:
=a+7
Step-by-step explanation:
Answer:
a+7
Step-by-step explanation:
combine like terms
3a-2a+7
a+7
help thanks
If you troll u get banned
Answer:
i believe it is d as the angle could also be a right angle
Step-by-step explanation:
Answer:
Your mom :))))))
HELP HAVING BAD DAY
Jasmine drives every morning to her office that is 12 miles from her home.
b
If Jasmine's average driving speed is s mph, how many minutes does it take her to reach the office?
Step-by-step explanation:
Hey there!
Speed (s) = m/hr
Distance = 12 miles
Time = ?
We have,
[tex]t = \frac{d}{s} [/tex]
[tex]t = \frac{12}{1} [/tex]
Therefore, time = 12 hr.
[Note: The speed is 1miles/hr. So, we got time same as the distance]
Hope it helps...
Answer:
12/s
Step-by-step explanation:
Need HELP now please! It’s for my HW that’s due! I will mark BRAINLIEST to the RIGHT ANSWER!
Answer:
The first should be (x+6, y-(-10).
The others, not sure but you have to plug them in.
Answer:
See attached
Step-by-step explanation:
The form is filled in and attached
