Answer:
P(t) = 17.5 feet
Step-by-step explanation:
The position above the ground at a given point in time can be represented by the quadratic function as follows:
[tex]P(t)=gt^2 + vot + Po[/tex]
Where,
Po is the initial position above the ground
If the ball was thrown straight up at 40 ft/sec when it was 5 ft above the ground.
We need to find the height reached by the ball.
The equation will become :
[tex]P(t)=-32t^2 + 40t+ 5[/tex]
Firstly we find the time taken to reach its maximum height
Put, dP(t)/dt = 0
[tex]\dfrac{d(-32t^2+40t+5)}{dt}=0\\\\-64t+40=0\\\\t=0.625\ s[/tex]
Now put t = 0.625 in equation (1) as follows :
[tex]P(0.625)=-32(0.625)^2 + 40(0.625)+ 5\\\\=17.5\ \text{feet}[/tex]
So, it will go at a height of 17.5 feet.
Express it in slope form
What are two values that could bring you a sum of (-12)?
Possible Answers:
any two nubers that add up to -12 work:
12 + (-24)
11 + (-23)
10 + (-22)
9 + (-21)
8 + (-20)
7 + (-19)
6 + (-18)
5 + (-17)
4 + (-16)
3 + (-15)
2 + (-14)
1 + (-13)
0 + (-12)
-1 + (-11)
-2 + (-10)
-3 + (-9)
-4 + (-8)
-5 + (-7)
-6 + (-6)
-7 + (-5)
-8 + (-4)
-9 + (-3)
-10 + (-2)
-11 + (-1)
-12 + (-0)
What is the scale factor of triangle A to triangle D.
Answer:
the correct answer is isosceles
Answer:
When two shapes are similar, their corresponding angles will be the same. The angles are the same because the shape is still the same. You can tell from the order of the similarity statement which angles match up. In the example, angles A and D are the same (both letters are in written first), angles B and E are the same (both letters are written in the middle), and C and F are the same
Step-by-step explanation:
Similar triangles can be different sizes, so the lengths of the corresponding sides are not necessarily the same, but they are proportional. This means that the ratios of the corresponding sides are equal.
Just help with 7,8, and 10 I already got help with the rest also I’ll mark brainliest for a small explanation:)
A water tank is in the shape of an inverted cone with height twice its radius. Water is being pumped into the tank at a rate of 2m3/min. Find the rate at which the water level is rising when the water is 3m deep.
Answer:
dh/dt = 8/9π
Step-by-step explanation:
Given that
Volume of A cone = 1/3πr²h.
Assuming v is the volume of the tank, then dv/dt = 2 m³/min
Assuming h is the height of the water we're looking for dh/dt
To start, we need to find a relationship between dh/dt and dv/dt
We then write v as a function of h, instead of having it as h & r, and then by using similar triangles, we notice that
r/h = 2/4, essentially, r = h/2.
Now, we substitute for this r, in the formula for volume
V = 1/3πr²h
V = 1/3 * π * (h/2)² * h
V = 1/3 * π * h³/4
If we differentiate v, wrt t, we have
dv/dt = π/12 * 3h² * dh/dt
dv/dt = π/4 * h² * dh/dt
Remember that h = 3, so, substitute for h
2 = π/4 * 9 * dh/dt
8/π = 9 * dh/dt
dh/dt = 8/9π
help!!!!!!!!!!!! !!!!!!!!!!!!
Answer:
the answer is D. y=2/3 x + 4
Which of the following is a benefit to using a random sample for an observational study?
Answer:
Step-by-step explanation:
Even though no answer choices are given, the main benefit of this is that by choosing a randomly from a population it allows every single individual to have the same chance of getting chosen and observed. This randomness allows for that sample group to much more accurately represent the entire population that is being observed without having to conduct additional research. Therefore, becoming extremely useful in such studies.
A sample is a group that is taken out of the population to be tested.
A random sampling occurs when subjects are being selected for a study
The benefit of using random sampling is that each subject in the population is equally likely to be selected and the resulting sample is likely representative of the population.
Random sampling allows for unbiased estimates to be created, but at the cost of efficiency within the research process
Some advantages of random sampling shown below,
It has less risk of carrying an error.There is an equal chance of selection.It requires less knowledge to complete the research.Learn more:
https://brainly.com/question/14912731
You are starting your own small business in Alabaster. You borrow $10,000 from the bank at a 9% rate for 5 years. Find the interest you will pay on this loan
Answer:
Step-by-step explanation:
F
A 5-pack of plastic flower pots costs $18.75. What is the unit price?
per pot
Answer:
13.75
Step-by-step explanation:
You would do 18.75 divided by 5 to get the cost of each pot.
18.75 / 5 = 13.75
Please help me it due at 2:10 please help me will mark the brainiest please
Answer:
x = -8x = 1d = 14I hope this helps!
The distance from point F to point G on a line segment is 5. Point F is at (4,a) and point G is at (1,6). What is the value of coordinate "a"?
Answer:
X is up Y is over
X: 3 Y: 9
X: 9 Y: 3
X: 6 Y: 5
X: 5 Y: 6
Hope This Helps
Please help ASAP due in 5 days! Marking Brainliest!
18. A man bought a house for #1,800,
and received N360 as rent for a
year. What is the ratio of the annual
rent to the purchase price?
(a) 1:2
(b) 1:4
(c) 1:5
(d) 2:1
(e) 2:5
Look at the equation below.
310 n = 45
What value of n will make this equation correct?
625
12
83
38
Answer:
38
Step-by-step explanation:
Point Q' is the image of Q(-7,-6) under the translation (x, y) + (x+12, y + 8).
What are the coordinates of Q'?
Answer:its b
Step-by-step explanation:i took the test
Sean has some candy bars that he wants to give away.
Answer:
Tell Sean i said thx
Step-by-step explanation:
but what's the question
Mathematics question
Subtract 5x^2 – 2x – 5 from – 2x^2
- 5x - 7
Answer:
[tex]-7x^{2} -3x-2[/tex]
Step-by-step explanation:
[tex](-2x^2-5x-7) - (5x^2-2x-5)\\\\-2x^2 - 5x^2 = -7 x^2\\-5x - -2x = -3x\\-7 - -5 = -2 \\Result: -7x^2-3x-2[/tex]
Answer:
-7x² -3x - 2
Step-by-step explanation:
(-2x²-5x -7) - (5x² - 2x - 5)
removing parentheses
-2x² -5x - 7 -5x² + 2x + 5
collect like terms
-2x² - 5x² -5x + 2x -7 + 5
= -7x² -3x - 2
What integer represent 10 degrees above zero?
Answer:
10
Step-by-step explanation:
an integer is an opposite but if it is above zero it is a positive number and and integer of a positive number is another positive number
Which inequality describes all the solutions to 5(3-x)<-2x+6
Answer:
x < 3
Step-by-step explanation:
5(3 - x) < -2x + 6
Distribute;
15 - 5x < -2x + 6
Add 2x to both sides;
15 - 3x < 6
Subtract 15 from both sides;
-3x < -9
Divide both sides by -3
x < 3
What should she do next to find 42 to the nearest hundredth?
A. She should find the squares of numbers between 6.5 and 6.6,
B. She should find the average of 6.4 and 6.5.
C. She should estimate that 42 is 6.50
D. She should find the squares of numbers between 6.4 and 6.5.
Answer:
D
Step-by-step explanation:
Did the quiz
The local newspaper has letters to the editor from 70 people. If this number represents 4% of all of the newspapers readers, how many readers does the newspaper
Answer:
1750
Step-by-step explanation:
We first find the rate
70/4
= 17.5
We know 17.5 is 1% of the people that read newspaper, we will multiply 17.5 by 100 as it would represent 100% of the people
17.5 * 100
= 1750
Jill wants to graph the following equation, 4x - 2y = 12, on her graphing
calculator
She needs to solve fory and put the equation into slope intercept form
first.
Which of the following is correct?
O y = 4x - 15
Oy = x - 6
O y = 2x - 6
O y=-2x + 6
Answer:
y=2x-6
Step-by-step explanation:
when u arrange it you get y=4x-12 which simplified is the answer above
Evaluate this expression. -86.4 + 16.38
Answer:
The answer is -70.22
Step-by-step explanation:
Answer:
-70.20
Step-by-step explanation:
Jim needs 4 ½ cups of bleach for every ten gallons of water for cleaning. How many cups of bleach should he use if he is making 5 gallons instead of 10?
Answer:
2 1/4 cups of bleach
Step-by-step explanation:
4.5/10=0.45
0.45×5=2.25
find the slope please :)
Answer:
3/4
Step-by-step explanation:
up 3 over 4
A rectangle has a perimeter of 30 and a length of 10. Find the width.
Answer:
5
Step-by-step explanation:
Which quadrilateral(s) fit the description: "The Diagonals are congruent". Check all that apply. *
1 point
Parallelogram
Rhombus
Square
Rectangle
Kite
Trapezoid
Isosceles Trapezoid
Answer:
Rhombus
Step-by-step explanation:
Another quadrilateral that you might see is called a rhombus. All four sides of a rhombus are congruent. Its properties include that each pair of opposite sides is parallel, also making it a parallelogram. In summary, all squares are rectangles, but not all rectangles are squares.
The monthly cost (in dollars) of water use is a linear function of the amount of water used (in hundreds of cubic feet, HCF). The cost for using 14 HCF of water is $33.79, and the cost for using 27 HCF is $55.24. What is the cost for using 18 HCF of water?
Answer:
The cost of using 18 HCF = $40.39
Step-by-step explanation:
A linear function is one that has a constant rate of change for all the values within the distribution. For a linear function, there is a constant, and that constant is known as the slope or gradient of the linear function.
Let us first calculate this constant (slope).
Let:
X₁ = 14 HCF, Y₁ = $33.79, X₂ = 27 HCF, Y₂ = $55.24, m = slope
[tex]m = \frac{Y_2-Y_1}{X_2 - X_1} \\m = \frac{55.24 - 33.79}{27-14} \\m = \frac{21.45}{13} \\m = 1.65[/tex]
at any two points on the linear function, the rate of change of the cost to HCF = 1.65
Now, Let X₃ = 18 HCF, Y₃ = cost for using 18 HCF
[tex]m = \frac{Y_3 - Y_1}{X_3-X_1} \\where\ m= 1.65\\1.65 = \frac{Y_3-33.79}{18-14}\\1.65 = \frac{Y_3 - 33.79}{4} \\6.6 = Y_3 - 33.79\\Y_3 =6.6+33.79\\Y_3 = 40.39[/tex]
Therefore, the cost of using 18 HCF = $40.39
N:B X₂ and Y₂ can also be used with X₃ and Y₃ to find Y₃. You can try it out, you should get the same result
please help me asap
Answer:
1.4/5+8/9
2.17/18-3/7
Step-by-step explanation:4/5+8/9 so you want the bottem two to be the same right so your ganna multapliy the 5 times 9 and 9 times 5 the 4 times 9 and 8 times 5 then you will have
36/45 and then40/45 then ad them and you will have about 2
2.is about 1 or about 0 i say about 1