Answer:
2.5 s15.125 ft1.125 sStep-by-step explanation:
The time and height of the highest point represent the vertex of the graph of the height equation. The positive zero of the equation represents the time the ball was no longer in the air.
__
These points are conveniently found from the vertex form of the equation.
h = -8(t² -9/4t) +5
h = -8(t² -9/4t +81/64) +5 +8(81/64)
h = -8(t -9/8)² +15 1/8 . . . . . . . . vertex is (9/8, 15 1/8)
__
Solving for the zeros, we find ...
0 = -8(t -9/8)² +15 1/8
121/64 = (t -9/8)² . . . . . . subtract 15 1/8, divide by -8
11/8 = t -9/8 . . . . . . . take the positive square root
t = 20/8 = 2.5 . . . . the time the ball hits the ground
__
1. The ball was in the air for 2.5 seconds
2. The ball got to a height of 15 1/8 feet
3. The ball was at its highest point 1.125 seconds after it was tossed.
Marty and Ethan both wrote a function, but in different ways.
Answer:
what did their functions look like?
Step-by-step explanation:
Answer:
Marty and Ethan both wrote a function in a different way.
Step-by-step explanation:
They both wrote a function.
3x + 2y = 9
y = 4x – 1
(solve algebraically)
I bought 5 crates of apples. Each crate contains 10 apples. I want to display the apples on 5 shelves. How many apples will be on each shelf?
Answer:
10
Step-by-step explanation:
I bought 5 crates of apples
Each crate contains 10 apples
I want to exhibit the appleonin 5 shelves
Therefore the apples on each shelve can be calculated as follows
Total apples= 50
= 50/5
= 10
Hence there would be 10 apples on each shelf
David kicks a soccer ball off the ground and in the air, with an initial velocity of 35 feet per second. Using the formula H(t) = −16t2 + vt + s, what is the maximum height the soccer ball reaches?
Answer:
Step-by-step explanation:
The function for this problem is: h(t) = -16(t)^2 + vt + s h= the height t= time v= velocity s= starting height With the information given, we know that the starting height is 0, since it was from the ground, and the velocity of the ball is 35 feet per second. Inserting the these information into the equation, we get: h(t) = -16(t)^2 + 35t Now the question asks to find the maximum height. It can be done by using a grapher to graph the maximum of the parabola. It could also be done by finding the vertex, which would be the maximum, of the graph by using x= -b/(2a), where b is equal to 35 and a is equal to -16. We get x=35/32, the x-value of where the vertex lies. You can use this value as the t-value in the previous equation to find the h-value of the vertex. When you do, you get h= 19.1 feet, or answer D.
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Please help will mark brainliest !!! 10 points
Answer:
25 is the right not comform
eight less than five times a number is greater than 6
Answer:
8 - 5x > 6
Step-by-step explanation:
Answer is in the problem:
eight = 8
less than = minus ( - )
five times a number = 5x (dont know the number so we put down "x")
is greater than 6 = > 6
does that make sense?
Choose the expression that shows the difference between x and y.
Answer:
the difference between x and y is x-y.
Step-by-step explanation:
Angle J and angle M are base angles of isosceles trapezoid JKLM. If angle J= 15x+9 and angle M=9x+15 find K
Answer:
156°
Step-by-step explanation:
To solve this problem, we first use the relation
15x + 9 = 9x + 15, on collecting like terms, we have
15x - 9x = 15 - 9
6x = 6
x = 1
And if x is equal to 1, then the base angles are 15 + 9 which is 24°.
And finally, to find k, we subtract the calculated angle from 180 and thus
180 - 24 = 156°
Please help me Sally hiked 6 tenths of a 3.6 mile trail. How many miles did Sally have left to hike?
Answer:Sally hiked 2.16 miles
Step-by-step explanation:
Sally hiked 6 tenths of a 3.6 mile trail.
6 tenths means 6/10
Therefore, Sally hiked 6/10 x 3.6 mile= 2.16 miles
which of these expression is equivalent to -2(3-y)
[tex]( - 6 + 2y)[/tex]
answer the question
1
Which descriptions apply to a coordinate plane? Choose more
than one answer.
Cartesian plane
Two-dimensional
Three-dimensional
Extends forever
Perpendicular axes
Parallel axes
The descriptions that apply to a coordinate plane are:
a) Cartesian plane
b) Two-dimensional
d) Extends forever
e) Perpendicular axes.
The descriptions that apply to a coordinate plane are:
Cartesian plane: A coordinate plane is often referred to as a Cartesian plane, named after the mathematician René Descartes, who introduced the concept of using coordinates to represent points in space.
Two-dimensional: A coordinate plane is a two-dimensional space where points are represented using two perpendicular axes (usually labeled as x-axis and y-axis).
Extends forever: The coordinate plane extends infinitely in all directions along the x-axis and y-axis, allowing representation of points with arbitrary coordinates.
Perpendicular axes: The two axes in a coordinate plane are perpendicular to each other, intersecting at the origin (0, 0). The x-axis is horizontal, and the y-axis is vertical.
The description "Three-dimensional" does not apply to a coordinate plane. A coordinate plane is a two-dimensional space, and it does not have a third axis to represent points in three dimensions.
In a three-dimensional space, you would need an additional axis (usually labeled as z-axis) perpendicular to the x-axis and y-axis to represent points in three dimensions.
Hence, The descriptions that apply to a coordinate plane are:
a) Cartesian plane
b) Two-dimensional
d) Extends forever
e) Perpendicular axes.
learn more on coordinate plane :
https://brainly.com/question/17298849
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Two trains leave the station at the same time, one heading west and the other east. The westbound train travels at 95 miles per hour. The eastbound train travels at 105 miles per hour. How long will it take for the two trains to be 440 miles apart?
Do not do any rounding.
[] hours
Answer:
2.2 hr
Step-by-step explanation:
Let t = time
95t = distance of westbound train
105t = distance of eastbound train
95t + 105t = 440
200t = 440
t = 2.2 hr.
EXPLANATION PLEASE AND ILL BRAINLIEST YOU
Answer:
blank 1: 24
Step-by-step explanation:
According to Pythagoras' Theorem, in a right-angled triangle,
(side 1)² +(side 2)²= (hypotenuse)²
Applying Pythagoras' Theorem,
x² +18²= 30²
x² +324= 900
x²= 900 -324 (-324 on both sides)
x²= 576
[tex]x = \sqrt{576} [/tex]
x= 24 ft
[tex] \frac{15}{100} \times 115[/tex]
Answer:
3/5
Step-by-step explanation:
Jack is 12 years older than Brian. Two years from now, Jack will be twice as old as Brian. How old is Brian?
Please don't add a link.
Answer:
Step-by-step explanation:
I did bad but what's the answer for this?
Answer:
28 degrees
Step-by-step explanation:
A triangle is always equal to 180 degrees so add the degrees together
40+2x+3x=180
40+5x=180
5x/5=140/5
x=28
find the product for 56.44
Step-by-step explanation:
55.44=2464
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Work out the lengths of side a and side b 8cm and 5 cm 1 triangle 17cm and 12 cm on the other triangle pythagoras
Answer:
a = 9.4 cm
b = 12.0 cm
Step-by-step explanation:
Check the image uploaded for diagram;
For the first diagram, side length a is calculated as follows;
a² = 8² + 5²
a² = 64 + 25
a² = 89
a = √89
a = 9.4 cm ( approximated to 1 decimal place)
For the second diagram, side length b is calculated as follows;
b² = 17² - 12²
b² = 145
b = √145
b = 12.0 cm (approximated to 1 decimal place)
Ryan and Sheila are preparing to get married. Sheila has a car payment of $297.00 per month, which is 9% of her monthly income. After they are married, Sheila knows that her car payment will only be 5% of their combined monthly income. How much money does Ryan make per month?
Answer:
$2640
Step-by-step explanation:
Sheila's car payment is 9% of her total income.
let i = total income
this equation can be used to represent the information :
9% x i = $297
to determine i, divide both sides of the equation by 9%
$297 / 0.09 = $3300
After the marriage, the car payment which is 3300 would be 5% of the combined income.
let c = combined income
5% x c = $297
c = $297 / 0.05 = $5940
Ryan's income = combined income - Sheila's income
$5940 - $3300 = $2640
What’s the answer to this?
Answer:
2
Step-by-step explanation:
16 x -4 =
(need process)
Answer:
-64
Step-by-step explanation:
-16+-16+-16+-16=-64
Answer:
[tex] - 64[/tex]
Step-by-step explanation:
Ignore any negative sign for now.
[tex]16 \times 4[/tex]
Use the algorithm method.
1 6
× 4
______
6² 4
Now consider the signs. One number is positive, and the other number is negative. Therefore, the result will be negative.
[tex]16. \: - 4 = > negative[/tex]
Therefor, 16 × -4 = -64
[tex] - 64[/tex]
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What is the volume of this rectangular prism? 1/2, 4, 3/2
Factorise the following:
a) x – 5x - 6
b) x + 3x – 40
C) - 7x - 30
Answer:
-4x-6
4x-40
-7x-30
Step-by-step explanation:
1. Determine the value of x.
Please help
Answer:
55..........................
Given sin= 3/5 find cos
Answer:
Step-by-step explanation: you have to use a caculator this is very similar to log you type in Sin as 3/5 then you will divide by cos then you have your answer
A recipe for lemonade calls for 4
cups of sugar for every 24 cups of cold
water. If you only have 2 cups of sugar,
how much water should you use?
Write a set of parametric equations for the equation x = 3y - 2 given that t= x + 3
Answer:
i hope you meant "y" instead of "t" because that would make so much more sense. all you have to do with this is replace "y" in the equation with "x + 3" (this makes the equation x = 3[x + 3] - 2). now, you multiply and combine the like-terms (making x = 3x + 7). you now continue by subtracting 3x from both sides of the equation to make -2x = 7 and dividing to make x = -3.5
Step-by-step explanation:
x = 3(x + 3) - 2
x = 3x + 9 - 2
x = 3x + 7
-2x = 7
x = -3.5
PLEASE HELP URGENT!!!!!!!!! 27 and 28
Answer:
27) 4.2
28) D
Step-by-step explanation:
Answer:
27. A 4.2ft
28. D
Step-by-step explanation:
27. Since this is a right triangle, we can use a^2 + b^2 = c^2
3.1^2 + b^2 = 5.2
b = sqrt(5.2^2 - 3.1^2)
b = 4.2ft A
28. sqrt(10^2 + 50^2) does not equat 54, this is not a right triangle.
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