Answer:
It is seen that the height of the golf ball is maximum at t= 3 sec that is 50 m above the ground.
The ball hits the ground at t= 4 seconds that is it's distance from the ground is zero meters.
Step-by-step explanation:
h(t) = −16t2 + v0t + h0
Putting the values
Initial velocity = V0 = 64m/s
time = 4, 5,3,and 6 seconds
initial height = h0 = ground level= 0 m
h(t) = −16t2 + v0t + h0
h(4) = −16(4)2 + 64(4) + 0
h(4)= 0m
h(t) = −16t2 + v0t + h0
h(5) = −16(5)2 + 64(5) + 0
h(5)= - 400 + 320= -80m
h(t) = −16t2 + v0t + h0
h(3) = −16(3)2 + 64(3) + 0
= -144+ 192= 50m
h(t) = −16t2 + v0t + h0
h(6) = −16(6)2 + 64(6) + 0
= -576+ 384= -192m
It is seen that the height of the golf ball is maximum at t= 3 sec that is 50 m above the ground.
The - ( negative) sign at different times shows that the ball may follow a path lower than the ground level.
The ball hits the ground at t= 4 seconds that is it's distance from the ground is zero meters.
If k(x) = x^2 and p(x) = k(x) + n, what is the value of n?
Pleaseee help ASAP!
I will give brainliest :)
Answer:
The value of n is -6
Step-by-step explanation:
If the function f(x) is translated k units up, then its image is g(x) = f(x) + kIf the function f(x) is translated k units down, then its image is g(x) = f(x) - kThe vertex form of the quadratic function is f(x) = a(x - h)² + k, where a is the coefficient of x² and (h, k) is the vertex∵ k(x) = x²
→ Its graph is a parabola with vertex (0, 0)
∴ The vertex of the prabola which represents it is (0, 0)
∵ The given graph is the graph of p(x)
∵ Its vertex is (0, -6)
∴ h = 0 and k = -6
∵ a = 1
→ Substitute them in the form above
∴ p(x) = 1(x - 0)² + -6
∴ p(x) = x² - 6
→ Substitute x² by k(x)
∴ p(x) = k(x) - 6
∵ p(x) = k(x) + n
→ By comparing the two right sides
∴ n = -6
∴ The value of n is -6
Look at the attached figure for more understanding
The red parabola represents k(x)
The blue parabola represents p(x)
The value of the n is -6.
Equation of a parabolay = a(x-h)2 + k
where,
(h, k) are the coordinates of the vertex of the parabola in form (x, y);
a defines how narrower is the parabola, and the "-" or "+" that the parabola will open up or down.
Given to usk(x) = x^2
p(x) = k(x) + n
Substitutionsubstituting the value of k(x) in p(x).p(x) = k(x)+n
p(x) = x² + n
ComparingComparing with the Equation of a parabola,
y = a(x-h)2 + k
p(x) = x² + n
Therefore, the value of n is k which is the y coordinate of the vertex of the parabola.
Coordinates of the vertex of the parabolaLooking at the coordinates of the vertex of the parabola,
(h, n) = (0, -6)
Hence, the value of the n is -6.
Learn more about Parabola:
https://brainly.com/question/4443998
Six less than two times a number
Answer:
6<2x
Step-by-step explanation:
six less than 2 is 6<2
times a number would be 2 and any letter so 2x
What is 100000000000000x234500000020000030040040
Answer:
234500000020000000000000000
Step-by-step explanation:
2x/25 = 0.4/0.15. Please Help.
Answer:
x = 1.335
Step-by-step explanation:
2x = 10/3.75
2x = 2.67
x = 1.335
please help me........please:)
Step-by-step explanation:
2/3 x 2/2 = 4/6
2/3 x 3/3 = 6/9
2/3 x 4/4 = 8/12
It costs $20 to get into Dollywood. Each ride costs an extra $4. f(x) = 20 + 4x is a function representing the total cost of a trip to Dollywood.
Answer:
f(x)=20+4x = -5
Step-by-step ;
answer is -5 .
3 to the power of 2 + (15 ÷ 5 × 6) − 49
Answer:
i think its -31
Step-by-step explanation:
thats what i got
hope this helps :)
Answer:
-22
Step-by-step explanation:
PEMDAS!
Solve (15 ÷ 5 × 6) first. This is equal to 18.
[tex]3^2[/tex] + 18 - 49
[tex]3^2[/tex] is equal to 9.
9 + 18 - 49 = -22
Solve for x
4/7^5x=64/343^2x-1
Can someone please help me in this.
(x + 3)2 – (y + 2)
2
Answer:
2x+2-2y
Im confused are those supposed to be ^2 powers? If so then the answer would be
x^2+6x+5-y^2-4y
Step-by-step explanation:
I REALLY HOPE THIS HELPS PLS CONSIDER GIVING BRAINLIEST I REALLY NEED IT AND WOULD APPRECIATE IT!
The sum of three numbers is 67. The third number is 2 times the first. The first number is 5 more than the second. What are the numbers?
Answer:
1. 18 2. 13 3. 36
Step-by-step explanation:
236462700.806 to the nearest cent
Answer:
236462700.81
Step-by-step explanation:
The nearest cent refers to the hundreds place, because 100 pennies (or cents) make 1 dollar. We look at the number to the right of the hundredths place and if it is less than 5 we round down, but if it is 5 or more we round up. Since 6 is more than five we round up, and are left with 236462700.81.
ΔABC is dilated by a scale factor of 0.5 with the origin as the center of dilation, resulting in the image ΔA′B′C′. If A = (2, 2), B = (4, 3), and C = (6, 3), what is the length of ?
Answer:
Fourth option is correct. The length of B'C' is 1 unit.
Step-by-step explanation:
The vertices of triangle ABC are A = (2, 2), B = (4, 3), and C = (6, 3).
Distance formula:
The length of BC is 2 units.
It is given that ΔABC is dilated by a scale factor of 0.5 with the origin as the center of dilation, resulting in the image ΔA′B′C′.
It means the ΔABC and ΔA′B′C′ are similar and corresponding sides of ΔA′B′C′ and ΔABC are proportional.
The scale factor is 0.5.
Therefore the length of B'C' is 1 unit and fourth option is correct
Answer:
D= 1 unit
Step-by-step explanation:
Please help, thank you
Answer:
The answer is B
Step-by-step explanation:
8^1/3=2
THIS IS 7TH GRADE MATH, PLEASE HELP!!
Answer:
Company B is offering the lowest price/lb at $12.72/lb.
Step-by-step explanation:
help plz plzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
slope: 4/6
Y intercept: -2
Equation: y=4/6x-2
need help on this too
Solve for t.
Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.
4t - 3 > 370 - 50
Answer:
t<47/33
Step-by-step explanation:
1 + b/2 = 19, b = ____?
Answer:
b = 8.5
Step-by-step explanation:
hope this halps ya!
Anita guessed that there were 180 pieces of candy in a jar, they were actually 220 pieces of candy in the jar what was Anita's approximate percent error
Answer:
18%
Step-by-step explanation:
Solve by making 180/220 into a percentage:
First, simplify the fraction by both parts by 20. This will result in the fraction 9/11.
To make it a percentage, write it as a ratio:
9/11 = x/100
Multiply both sides by 100 and 11:
11x = 900
Divide both sides by 11:
x = 81.818181...
Subtract from 100 to find the error:
18.181818...
So about 18%
Hope that helps! :D
Answer: 18%
Step-by-step explanation: Trust me.
20% of what number is 47?
Answer:
235
Step-by-step explanation:
Answer:
235
20 percent (calculated percentage %) of what number equals 47? Answer: 235.
Step-by-step explanation:
I hope this Helps c:
can anyone help i will give brainlist!! also you have to solve the equations using elimination
Step-by-step explanation:
5x+2y=29
5x-2y=41
add the equations
10x=70
divide both sides by ten
x=7
substitute 7 in the first equation
5(7)+2y=29
simplify
35+2y=29
subtract 35 from both sides
2y=-6
simplify
y=-3 x=7
3x+2y=9
5x+2y=12
subtract the equations
-2x=-3
simplify
x=1.5
substitute
3(1.5)+2y=9
simplify
4.5+2y=9
subtract 4.5 from both sides
2y=4.5
simplify
y=2.25 x=1.5
5x+2y=-9
2x-3y=4
multiply first equation by three and second by two
15x+6y=-27
4x-6y=8
add equations
19x=-19
simplify
x=-1
substitute
15(-1)+6y=-27
simplify
-15+6y=-27
add 15 to both sides
6y=-12
simplify
y=-2 x=-1
Need answers for parallelogram LMNO
Answer:
what does lmno means
Step-by-step explanation:
The weight of a suitcase checked onto a plane by a male, is a random variable with mean 42 pounds and standard deviation 16 pounds. The mean and standard deviation of the weight of a suitcase checked on to a plane by a female, is a random variable with mean 40 pounds and a standard deviation of 10 pounds. (For the purposes of this problem, a married couple consists of one male and one female. All suitcases are considered independent of each other even if from the same person.) What is the mean and standard deviation for the weight of the suitcases for a married couple, with one suitcase per person? What is the mean and standard deviation for the 6 suitcases checked onto the plan by 2 married couples, if each couple checked on 2 female suitcases and 1 male suitcase? In a cost cutting move the airlines is now charging $1.50 per pound for checked luggage. What is the mean and standard deviation for the cost of: A suitcase checked by a female 2 suitcases checked by a male. In an unexplained move, a worker at the airport adds a 5 pound graphing calculator to each male’s suitcase. What is the new mean and standard deviation for the weight of a male’s suitcase? What are the mean and standard deviation for the weight of the suitcases of a married couple, if the man’s suitcase is given the 5 pound calculator added to it?
Answer:
1) The mean = 41
The standard deviation = 13.379
2) The mean = 40.67
The standard deviation = 12.365
3) The mean and standard deviation will remain the same
4) The new mean = 44.5
The new standard deviation = 13.58
5) The mean = 42.25
The standard deviation = 13.83
Step-by-step explanation:
The combines mean is given by the formula;
[tex]\overline {x_{12}} = \dfrac{n_1 \bar x + n_2 \bar x}{n_1 + n_2}[/tex]
The combined standard deviation is given as follows;
[tex]\sigma_{12} = \sqrt{\dfrac{n_1 \times \left (\sigma^2_{1} + d^2_1 \right) + n_2 \times \left (\sigma^2_{2} + d^2_2 \right)}{n_1 + n_2} }[/tex]
d₁ = [tex]\overline{x_{12}}[/tex] - [tex]\overline {x_1}[/tex]
d₂ = [tex]\overline{x_{12}}[/tex] - [tex]\overline {x_2}[/tex]
Substituting the known values, we have;
[tex]\overline {x_{12}} = \dfrac{ 42 + 40}{2}=41[/tex]
d₁ = 41 - 42 = -1
d₂ = 41 - 40 = 1
[tex]\sigma_{12} = \sqrt{\dfrac{ \left (16^2 + 1 \right) + \left (10^2 +1 \right)}{2} } = 13.379[/tex]
2) When n₁ = 1, n₂ = 2, we have;
[tex]\overline {x_{12}} = \dfrac{ 2 \times 42 + 4 \times 40}{6} \approx 40.67[/tex]
d₁ = 40.67 - 42 = -1.33
d₂ = 40.67 - 40 = 0.67
[tex]\sigma_{12} = \sqrt{\dfrac{ 2 \times \left (16^2 + 1.33^2 \right) + 4 \times \left (10^2 +0.67^2 \right)}{6} } \approx 12.365[/tex]
3) The mean and standard deviation will remain the same
4) The new mean = (42 + 47)/2 = 44.5
The new standard deviation [tex]\sigma_{12} = \sqrt{\dfrac{ \left (16^2 + 2.5^2\right) + \left (10^2 +2.5^2\right)}{2} } \approx 13.58[/tex]
5) [tex]\overline {x_{12}} = \dfrac{ 44.5 + 40}{2}=42.25[/tex]
[tex]\sigma_{12} = \sqrt{\dfrac{ \left (16^2 + 2.5^2\right) + \left (10^2 +4.5^2\right)}{2} } \approx 13.83[/tex]
By 10 a.m., Andrew has read 85% of his emails he received on Tuesday. If Andrew received 40 emails, how many emails has he read so far?
Answer: 35
Step-by-step explanation: 85% of 40 basically you multiply 0.85 by 40 :)
figure Ais reflected across the line to create figure A’
If 18 meters of high-resistance wire with a diameter of 1.2 mm has a resistance of 10 ohms, what is the resistance of 27 m of the same type of wire with a diameter of 1.5 mm?
Maggie made three withdrawals of $30 each from her bank account how would you create this into an equation using multiplication or division are there any positive or negative numbers and why
Answer:
-30x3 because you are subtracting 30 3 times
Step-by-step explanation:
What is the solution to the equation 5 (x minus 6) = 2 (x + 3)?
x =
Answer:
x = 12
Step-by-step explanation:
Solve for x:
[tex] \longrightarrow [/tex] 5 (x - 6) = 2(x + 3)
Expand out terms of the left hand side:
[tex] \longrightarrow [/tex] 5x - 30 = 2(x + 3)
Expand out terms of the right hand side:
[tex] \longrightarrow [/tex] 5x - 30 = 2x + 6
Subtract 2x from both sides:
[tex] \longrightarrow [/tex] (5x - 2x) - 30 = (2x - 2x) + 6
5x - 2x = 3x:
[tex] \longrightarrow [/tex] 3x - 30 = (2x - 2x) + 6
2x - 2x = 0:
[tex] \longrightarrow [/tex] 3x - 30 = 6
Add 30 to both sides:
[tex] \longrightarrow [/tex] 3x + (30 - 30) = 30 + 6
30 - 30 = 0:
[tex] \longrightarrow [/tex] 3x = 6 + 30
6 + 30 = 36:
[tex] \longrightarrow [/tex] 3x = 36
Divide both sides of 3x = 36 by 3:
[tex] \longrightarrow [/tex] [tex] \sf \dfrac{3}{3}x = \dfrac{36}{3} [/tex]
[tex] \sf \dfrac{3}{3} = 1: [/tex]
[tex] \longrightarrow [/tex] [tex] \sf x = \dfrac{36}{3} [/tex]
[tex] \sf \dfrac{36}{3} = 12: [/tex]
[tex] \longrightarrow [/tex] x = 12
Answer: 12
Step-by-step explanation: On Edge!!!!!!!!!!!!!!!!!!!
Please help with this, all I need is for this paper to be done and then I’ll have a good grade in algebra
Answer:
use desmos.
Step-by-step explanation:
demos. All you have to do is out the equation into Desmos and it will graph it for you. You can look and learn.