Answer:
13 ft.
Step-by-step explanation:
Since p(t)= 1/2gt² + v₀t +p₀ and it us given that v₀ = 16 ft/s, p₀ = 5 ft and g = -32 ft/s².
Since the ball is thrown straight up, it does not follow a parabolic path.
So, If the ball is thrown straight up 16ft/sec when it was 5ft above the ground, then its height above the ground h(t) = v₀t +p₀. Substituting v₀ = 16 ft/s, p₀ = 5 ft , we have
h(t) = v₀t +p₀
Using v = v₀ + at, we calculate the time it takes to reach maximum height. At maximum height, v = 0, so,
v = v₀ + at
v - v₀ = at
t = (v - v₀)/a where a = g
So, t = (0 - 16 ft/s)/-32 ft/s²
= - 16 ft/s/-32 ft/s²
= 1/2 s
= 0.5 s
Substituting t = 0.5 s, v₀ = 16 ft/s and p₀ = 5 ft into h(t), we have
h(t) = v₀t +p₀
h(t) = 16 ft/s × 0.5 s + 5 ft
h(t) = 8 ft + 5 ft
h(t )= 13 ft
The ball will go 13 ft above the ground.
Plz help I’m getting timed
what is the function rule for the transformed with vertical stretch by a factor of 2 and translated down 6
Answer: Thus, the equation of a function stretched vertically by a factor of 2 and then shifted 3 units up is y = 2f (x) + 6, and the equation of a function stretched horizontally by a factor of 2 and then shifted 6 units left is y = f ( (x - 6)) = f ( x - ). Example: f (x) = 2x2.
Step-by-step explanation:
through: (3, 5) parallel to y=3x-1
Answer: y = 3x - 4 will be the parallel line to the line y= 3x -1
Step-by-step explanation:
Parallel lines have the same slope but different y intercepts, so using the equation given , use the formula y=mx +b where m is the slope and b is the
y - intercept ,and input the x and y coordinate to solve for b. Input the same slope into the formula because they will have the same slope.
5= 3(3) + b
5 = 9 + b
-9 -9
b = -4
Since the y intercept is negative 4, the equation will be y = 3x -4
What is the area of this figure?
4 yd
2 yd
2 yd
2 yd
5 yd
5 yd
2 yd
6 yd
Answer:
4+8+10+6=28
Step-by-step explanation:
What is y=6/5x+4/5 perpendicular
Answer:
y=-6/5xStep-by-step explanation:
Given points A(9,3), B(-3,6), and C(-7,3). Which statement describe the vectors that include these points? Check all that apply
B C D F are the right answers
Step-by-step explanation:
Answer c,e
Step-by-step explanation: i just did it
Round 67,891 to the nearest hundred
Answer:
67,900
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLEST
=√40 = 6.32455 ≈ 6.3
Answer: B ) 6.3
I need help!!! Question: Elena has a pet parakeet the weighs 6 when measured in one unit and 170 when measured in a different unit.Which measurement is in ounces and which is in grams?
Answer:
6 ounces equals to 170 grams
Step-by-step explanation:
If the line y = x is flipped over the x axis and made flatter by a factor of 1/2 , write the equation of the new line .
PLEASE HELP
I need help I’m being timed
Please help, I have nothing great to offer you though.
Which set of numbers includes only integers?
Answer
-10,-7,0,98,145
Step-by-step explanation:
Integers are whole numbers negative or positive.
Hope that helped :)
Help Pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer: thats a tuff one
Step-by-step explanation:
im not sure
The answer is D 8g to the power of 6 h to the power of 4 k to the power of 12-h to the power of 25 k to the power of 15
A store sells tiles in the shape of a parallelogram. The perimeter of each tile is 37 inches. One side of each tile is 2.5 inches longer than another side. What are the side lengths of the tile? The side lengths of the tile are ___Inches and ___ Inches.
Answer:
The side lengths of the tile are 8 Inches and 10.5 Inches.
Step-by-step explanation:
Perimeter of a parallelogram = 2(a + b)
Let
a = shorter side
b = longer side
b = a + 2.5 inches
The perimeter of each tile is 37 inches
Perimeter of a parallelogram = 2(a + b)
37 = 2{a + (a + 2.5)}
37 = 2{a + a + 2.5}
37 = 2(2a + 2.5)
37 = 4a + 5
37 - 5 = 4a
32 = 4a
Divide both sides by 4
a = 32/4
= 8
a = 8 inches
b = a + 2.5 inches
= 8 + 2.5
= 10.5 inches
b = 10.5 inches
The side lengths of the tile are 8 Inches and 10.5 Inches.
I dont understand this question 2/5÷9/4 is the same as which of the following?
Answer:
Step-by-step explanation:
You didn't list anything to choose from.
2/5÷9/4 When you have a division and fraction after it, change the sign to multiplication and flip the fraction.
2/5 * 4/9
8/45
Question 1 of 5 ? Marissa is throwing a ball across a 36-yard field. She threw it 3 of the way across the field. How far did Marissa throw the ball?
Answer:
12
Step-by-step explanation3%36
pls help will mark brainliest
Step-by-step explanation:
it is proportional
Answer:
Not poportional.
Step-by-step explanation:
Beacsue the numbers doesn't have a constant rate of change.
How many buses do you need for 650 people if each bus holds 100 people?
Answer:
we would need 7
Step-by-step explanation:
because if each bus hold 100 and there is 650 we would need 7 buses
because we well have 6 fill bus and 1 half full bus
Answer:
7
Step-by-step explanation:
100/7 u would only ned the 7 and not the 100
I will make you brainliest if correct. explain how you got it please
Answer:
Perpendicular
Step-by-step explanation:
Slope of l1=6\9 = 2\3
Slope of l2 =-3\2
perpendicular lines
Answer:
perpendicular
Step-by-step explanation:
l1 slope= 2/3
l2 slope= 3/2
Which graph best represents a system of equations that has no solution?
Answer:
D, because parallel lines never have a solution.
Step-by-step explanation:
The graphs which show no solution is required.
Option D has no solution.
When a system of linear equations have a solution means that the lines intersect each.
This means for a given [tex]x[/tex] value of both equations there exists the same [tex]y[/tex] value.
Options A, B and C all have lines that intersect each other at some point.
In option D the lines are parallel to each other.
So, option D has no solution.
Learn more:
https://brainly.com/question/15721976?referrer=searchResults
Brice has 400 toy cars. Of the toy cars, 15% are red, 40% are green, and the rest are multicolor.
How many toy cars are multicolor?
O 160
O 60
O 180
100
Answer:
180
Step-by-step explanation:
Answer:
180
Step-by-step explanation:
15 + 40 = 55, so 55% of the toy cars are not multicolor.
100 - 55 = 45 so 45% of the toy cars ARE multicolor.
To find what 45% of 400 is, we multiply 400 by 0.45
400*0.45 = 180 so there are 180 multicolor cars.
Expand and simplify
(3x + 2)(x - 1)
Mrs.Stone is three times older than her younger daughter, Joyce, but only two times older than her older daughter, Alex. How old is Mrs.Stone now, if 9 years ago Alex was two times okder than Joyce? Mrs.Stone is three times older than her younger daughter, Joyce, but only two times older than her older daughter, Alex. How old is Mrs.Stone now, if 9 years ago Alex was two times okder than Joyce?
Answer:
54 years
Step-by-step explanation:
Joyce age = x
Alex age = y
3x = 2y - - - (1)
y - 9 = 2(x - 9)
y - 9 = 2x - 18
-9 + 18 = 2x - y
9 = 2x - y
y = 2x - 9 - - (2)
3x = 2y
3x = 2(2x - 9)
3x = 4x - 18
18 = 4x - 3x
18 = x
Hence,
Mrs stone is 3 * 18 = 54 years
. The table lists the number of students from Windy Brook Middle School at the state fair. What is the ratio of sixth graders to the total number of students at the fair?
Answer:im so sorry these people wasted your time hun Answer:
2 : 9
Step-by-step explanation:
First find the total number
6+4+5+3 = 18
6th graders : total
4 : 18
Divide each side by 2
4/2: 18/2
2 : 9
there ya go!
2x -14 = -9 answer for this equation
Answer:the exact form is x=5/2 if its wrong then its probably wrote in a different way
Step-by-step explanation: Move all terms that don't contain
x
to the right side and solve.
Answer:
x= 2.5
Step-by-step explanation:
Simplifying
2x + -14 = -9
Reorder the terms:
-14 + 2x = -9
Solving
-14 + 2x = -9
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '14' to each side of the equation.
-14 + 14 + 2x = -9 + 14
Combine like terms: -14 + 14 = 0
0 + 2x = -9 + 14
2x = -9 + 14
Combine like terms: -9 + 14 = 5
2x = 5
Divide each side by '2'.
x = 2.5
Simplifying
x = 2.5
asap please and thank you
Answer:
x = 16 degreesStep-by-step explanation:
1 and 3 are vertical angles so m∠1 = m∠3
(4x - 2)° = 62°
4x - 2 = 62
4x = 64
x = 16
Mollie watches a film that lasts 130 min it begins at 6:15 pm. What time did it end?
Two numbers are in a ration of 3:7, the larger exceeds the smaller by 12.
What is the larger number?
the ratio of boys to girls is in a class 4:3. There are 35 students in the class. How many students are boys ?
What is the formula?
Answer:
ratio 4x:3x
total= 7x parts = 35(given)
x= 35/7 =5
boys = 4x = 20
girls = 3x = 15
The number of boys are more by 20-15 = 5.
Step-by-step explanation:
Answer:
20 boys 20:15
Step-by-step explanation:
helpful??
distance between -5.4 and -3.8
Answer:
1.6
Step-by-step explanation:
In order to find the distance all you need to do is subtract the two numbers
so you would:
-5.4-(-3.8)=-1.6 or 1.6 since distance is not negative number.
A interesting fact to note is when you are subtracting negatives you can also just add the number as a positive
Ex.
5 - (-2) =7
5+2=7