GIVEN ↷
h(t) = -16t² + vt + swhere,
h⤿ Height ⤏0
t ⤿ time⤏?
v⤿initial velocity⤏8ft/s
s⤿initial height⤏24ft
TO FIND ↷
The maximum heightTime taken to reach the maximum heightSOLUTION ↷
we know that,
-16t² + vt + s = h(t)-16t² + 8t + 24 = 0To factorise the equation, we'll divide the both side by 8 and multiply by -1
we get,
2t² -t -3 = 02t² +2t -3t -3 = 02t(t+1) -3(t+1) = 0(2t-3)(t +1) = 0so,
2t - 3 = 0
2t = 3
t = 3/2
t = 1.5 seconds
hence, the diver will take 1.5 seconds to reach the maximum height
Now , to find the maximum height ,
we'll insert the value of time taken in the given equation which is ↷
h(t) = -16t² + vt + sh(1.5) = -16(1.5)² + 8 x 1.5 + 24h(1.5) = -16 x 2.25 + 12 +24h(1.5) = -36 +12 +24h(1.5) = -36 +36h(1.5) = 0h = 0/ 1.5h = 0Hence , the maximum height the diver will reach in 1.5 seconds = 0
what is the solution of
17/2 - [19/6 ÷ 9/2 of 16/3 + {11-(3 - 5/4 - 5/8 }]
Answer:
Step-by-step explanation:
First, simplify the question.
8 1/2 - [ 3 1/6 ÷ 5 1/3 + 11-(3 - 5/4 - 5/8 }]
then solve
If 50% of some number is 75, what is 200% of that same number?
Answer:
300
Step-by-step explanation:
A percentage is a unit of proportion that represents a ratio.
For this question let the unknown number be represented by the variable x. We know that 75 is 50% of x, or half of x. This means that we can find the unknown number by doubling 75.
75*2=150This means that x is 150. Next, we need to find 200% of 150. 200% of any number is that number times 2. So, to find the final answer we must once again double 150.
150*2=300So, the final answer is 300.
Answer:
Step-by-step explanation:
270
50% equals to 1/2 so 1/2x=75. Times 2 on both sides you get x=135.
So 135 is x and you multiply 135 by 200%. Which get you 270.
Find the value of x, y, and z in the rhombus below.
Answer:
Step-by-step explanation:
For a rhombus, the opposite angles are equal:
74=5y+9
5y=65
y=13
For a rhombus, the adjacent angles are supplementary:
74+(z-10)=180
z-10=106
z=116
74+(x+7)=180
x+7=106
x=99
Opposite angles in a paralleogram are equal
5y+9=745y=65y=13And Consecutive angels have sum 180
x+7+74=180x=180-81x=109And
z-10=109+7z-10=116z=126steven orders 9 tons of bricks for a construction project. He uses 3 2/3 tons for the front patio and 2 1/2 tons for the chimney. How many tons of bricks does Steven have left?
Answer:
They have 2 left
Step-by-step explanation:
3 2/3 - 2 1/2 = 1 1/1 = 2
5000 milliliters equals
Answer:
1.321 us liquid gallons
Answer : 5 Liters Or 1.321 Gallons
Explanation: 5000 Mililiters = 5 Liters
◊ YusuCr ◊
.:.:.
If a new data point at 12 is added to the graph, which will
be true?
1
2
الا
4
5 6 7
8 9 10 11 12 13
O The mean will increase, and the median will stay the
same.
O The median will increase, and the mean will stay the
same.
O The mean will increase more than the median, but
both will increase.
O The median will increase more than the mean, but
both will increase.
Answer:
that is true
Step-by-step explanation:
hope this helps
If a new data point at 12 is added to the graph, The mean will increase more than the median, but both will increase.
What is Mean and Median?Mean of a set of data is defined as the average of all the values. It gives the exact middle point of the data set.
Median of a data set is the element in the middle if the data are arranged in increasing or decreasing order.
Given a graph with the data points as,
1, 2, 2, 2, 3, 4, 4, 4, 5
Mean = (1 + 2 + 2 + 2 + 3 + 4 + 4 + 4 + 5) / 9 = 27 / 9 = 3
Median = 5th term = 3
When 12 is added, new data set has 10 data points.
1, 2, 2, 2, 3, 4, 4, 4, 5, 12
Mean = (1 + 2 + 2 + 2 + 3 + 4 + 4 + 4 + 5 + 12) / 10 = 3.9
Median = average of 5th and 6th term = (3 + 4) / 2 = 3.5
Hence the correct option is The mean will increase more than the median, but both will increase.
Learn more about Mean and Median here :
https://brainly.com/question/31098693
#SPJ7
The complete question is given below.
What is the answer to this question? (100 Points!)
#A
How far means measurement of perimeter or length not volume
No#B
Yes
#C
Tall means length not volume
No#D
Here she needs area not volume
Nopolygon having eight sides is called a/an
Answer:
A polygon that has eight sides is called a Octagon
Step-by-step explanation:
Answer:
an octagon
Step-by-step explanation:
'oct' means 8 and 'gon' means sides
Hope this helps!
carter has 1/2 gallon ice cream to make 4 ice cream cones how much ice creamhe use to make each cone
Answer:
1/8 for each
Step-by-step explanation:
4 decided by 2 for each one
At the library, 56 people borrowed
books on Monday. Then 48 people
borrowed books on Tuesday. On
Wednesday, 40 people borrowed
books. If this pattern continues,
how many people will borrow
books on Friday?
Answer:
24 people borrowed the books on Friday
Step-by-step explanation:
Every day, the number of books is being subtracted by 2.
56 - Monday (-8)
48 - Tuesday (-8)
40 - Wednesday (-8)
32 - Thursday (-8)
24- Friday
Frankie went jogging. He jogged 8/9
of a mile. His shoelaces were untied for
id he 1/4 of his run. For what distance were his
shoelaces untied?
Answer:
23/26 is the distance he ran with his shoe laces untied x
Lia is making a window covering that has 5 sections, each of which is 1 3/10 feet in width. What is the width of the entire window covering?
Answer:
61/2feet
Step-by-step explanation:
mark me brainliest!!
Find the perimeter of the following figure?
Answer:
add all the sides
Step-by-step explanation:
1+5+3+1 = 10 cm
The Area of a rectangle is 486.2 m2, and the base is 21m, find the height to the nearest hundredth.
Step-by-step explanation:
Let L = length and W = Width
The problem says L = 2W
and
Area = LW = 21
Substitute
2W2 = 21
W2 = 10.5
W = 3.24
L = 6.48
PLEASE HELP! I am doing Imagine Math and I need help with this question!
2. Find m<1, then find m<2
Answer:
Option A
Step-by-step explanation:
To find the angles, you have to subtract the opposing angle from 180
180 - 85 = 95
180 - 70 = 110
Angle 1: 95
Angle 2: 110
Center (8,4), r = 3
Write the standard equation for the circle.
Answer:
(x - 8)² + (y - 4)² = 9
Step-by-step explanation:
(x - 8)² + (y - 4)² = 3²
(x - 8)² + (y - 4)² = 9
Given x + y = x ∙ y = 3, determine x3 + y3 ?
Answer:
Step-by-step explanation:
x³ + y³ = (x + y)(x² - xy + y²)
= (x + y)(x² + 2xy + y² - 3xy)
= (x + y)[(x + y)² - 3xy]
= 3(3² - 3(3)) = 3(0) = 0
Write the expression that is represented by the phrase below.
y squared decreased by the sum of x and 4.
HELP PLS
WORTH 15
Answer:
[tex] {y}^{2} - (x + 4)[/tex]
Step-by-step explanation:
The answer is above
Determine the intercepts of the line.
Do not round your answers.
y - 6 = 4(x + 5)
Answer:
5
Step-by-step explanation:
ten minus six is four, therefore x must be equal to five since five plus five is ten
these numbers form an addition and subtraction fact family for 6,7,13 here the choices 7+13=20 13+7=20 13-13=0 13-0=13 and 7+0=7 6+0=6 13-0=13 13-13=0 and 7+6=13 6+7=13 13-6=7 13-7=6 7+6=13 13=7+6 13-6=7 7=13-6 which one is the right answer
Answer:
Answer:
7+6=13 6+7=13 13-6=7 13-7=6 7+6=13 13=7+6 13-6=7 7=13-6b
Step-by-step explanation:
this involves any number that when subtracted or added it gives each other the values of the family
Example:-
7 + 6 equals 13, 13 - 6 equals 7,
so you see how they relate,
please mark me brainiest
^_^
Geometry)) Find the value of x
Answer:
[tex]\tt x=14[/tex]
Step-by-step explanation:
[tex]\tt 6x+6=90[/tex]
[tex]\tt 6x+6-6=90-6[/tex]
[tex]\tt 6x=84[/tex]
[tex]\tt \cfrac{6x}{6} =\cfrac{84}{6}[/tex]
[tex]\tt x=14[/tex]
~
Answer:
x = 14
Step-by-step explanation:
The diagonals make a perpendicular bisector at the center.
Hence, the central angle is 90°.
6x + 6 = 906x = 84x = 14
Polygon LMNPQR is shown on the coordinate grid and models the shape of a garden in a park,
Polygon LMNPQR will be dilated with the origin as the center of dilation to create polygon
L'M'N'P/Q'R'. The vertex Q' will be located at (21, 7).
Which rule best represents the dilation?
Dilation involves changing the size of the polygon
The best rule of dilation is [tex](x,y) \to \frac 72(x,y)[/tex]
How to determine the ruleThe coordinates of vertices Q and Q' are given as;
Q = (6,2)
Q' = (21, 7)
The scale factor of dilation is then calculated as:
[tex]k = \frac {Q'}{Q}[/tex]
So, we have:
[tex]k = \frac {(21,7)}{(6,2)}[/tex]
Factorize
[tex]k = \frac {7/2(6,2)}{(6,2)}[/tex]
Divide
[tex]k = \frac {7}2[/tex]
So, the transformation rule is:
[tex](x,y) \to \frac 72(x,y)[/tex]
Hence, the best rule of dilation is [tex](x,y) \to \frac 72(x,y)[/tex]
Read more about dilation at:
https://brainly.com/question/3457976
do x = 3 and 3x have the same value when x = 3
Answer:
yes
Step-by-step explanation:
because x=3 in both scenarios
15 A committee consists of six men and four women. A subcommittee is made by randomly choosing three of the committee members. What is t
he probability that a they are all women b two of them are men?
Answer:
sorry I need the points plss forgive meee
Find the length of the hypotenuse of a 45°-45°-90° triangle with a leg length of 77 centimeters.
The sum of the square of the hypotenuse is equal to the sum of the square of the other sides.The length of the hypotenuse of the triangle is l = √14
Pythagoras theoremThe sum of the square of the hypotenuse is equal to the sum of the square of the other sides.
Given that one of the sides is √7, hence;
l^2 = (√7)^2 + (√7)^2
l^2 = 7 + 7
l^2 = 14
l = √14
Hence the length of the hypotenuse of the triangle is l = √14
Learn more on pythagoras theorem here: https://brainly.com/question/343682
How many points of inflection will f(x) = 3x^5 + 2x^4 – 5x 52 – 12 have?
A)3
B)2
C)5
D)4
There are two points of inflection in the graph of f(x).
Option B is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
To find the inflection points of a function, we need to find its second derivative and set it equal to zero.
So,
Let's start by finding the first and second derivatives of f(x).
First, we find the first derivative of f(x).
f'(x) = 15[tex]x^4[/tex] + 8x³ - 260x² - 5x²
Then,
We find the second derivative of f(x):
f''(x) = 60x³ + 24x² - 520x - 10x
Next, we set f''(x) equal to zero and solve for x.
60x³ + 24x² - 520x - 10 = 0
10 (2x² - 13x - 1) = 0
2x² - 13x - 1 = 0
Now,
Using the quadratic formula,
we find the roots of this equation:
x = (13 ± √(13² + 8))/4
x = 13 ± √177) / 4
x = (13 + √177)/4 and x = )13 - √177)/4
x = 2.22 and x = -0.23
Therefore,
There are two points of inflection in the graph of f(x).
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ5
find the inverse of F(x) -5/3x - 8
Answer:
Step-by-step explanation
Divide (3x⁴ -21x³+29x²-3x+28) ÷ (x−5)
Show steps
Answer:
-12
Step-by-step explanation:
[tex](3x⁴ -21x³+29x²-3x+28) ÷ (x−5)[/tex]
[tex]\\ 3x⁴ -21x³+29x²-3x+28 \\ x - 5\overline{)3x⁴ -21x³+29x²-3x+28} \\3x {}^{4} - 15x {}^{3} \: \: \: \ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \overline { - 6 {x}^{3 } + 29 {x}^{2} - 3x + 28 } \\ - 6 {x}^{3 } + 30 {x}^{2} \: \:\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \overline { - {x}^{2} - 3x + 28} \\ - {x}^{2} + 5x \: \: \: \: \: \: \: \: \: \\\overline { - \: \: \: 8x + 28} \\ \: \: \: \: \: 8x + 40 \\ - 12[/tex]
Help with questions 2 and 4 please