If a certain cannon is fired from a height of 9.8 meters above the ground, at a certain angle, the height of the cannonball above the ground, h, in meters, at time, t, in seconds, is found by the function h(t) = -4.9t² + 30.5t +9.8. Find the time it takes for the cannonball to strike the ground.
Answer:
6.53 s
Step-by-step explanation:
The height of the cannon ball is represented by a quadratic function as:
h(t) = -4.9t² + 30.5t +9.8.
At 0 s (i.e. t = 0), h(0) = -4.9(0²) + 30.5(0) + 9.8 = 9.8
That means that the cannon ball is initially at a height of 9.8 m above the ground. To calculate the time it takes the ball to touch the ground, we use:
h(t) = -4.9t² + 30.5t +9.8
It touches the ground when h(t) = 0. Hence:
0 = -4.9t² + 30.5t + 9.8
Solving the above quadratic equation gives:
t = 6.53 s and t = -0.31 s
Since the time cannot be negative, hence t = 6.53 s. Therefore it takes the ball 6.53 s to hit the ground.
What is the greatest common factor (GCF) of 20 and 28???
A. 6
B. 4
C. 2
Answer:
B, 4
Step-by-step explanation:
The greatest common factor of 20 and 28 is 4
Y + 2 = -3/4 ( x +1 )
Answer:
Step-by-step explanation:
Question 2 Average annual rainfall totals for cities in New York are listed below. Rochester 0.97 meters Ithaca 0.947 meters Saratoga Spring 1.5 meters New York City 1.268 meters Choose the rainfall measurements which are in order from least to greatest.
Answer:
rocket ships
Step-by-step explanation:
rocket ships
obamnia
i never understood this!who ever gives me a answer i'll give em 5 stars and a thanks
The length of the hypotenuse of a right triangle
is 10 cm and the length of one leg is 5 cm. What is
the length of the other leg?
10.) Combine the like terms in the following expression: 8 + 3x + x + 5 + 2x *
Answer:
6x+13
Step-by-step explanation:
I hope this is right.
16. Find the median for the following data. 16, 15, 14, 14, 17, 13, 17, 14
1 point
A. 14.5
B. 14
C. 15
D. 17
Select the correct answer.
Factor the given expression.
x2 + 16x + 64
A.
(x + 16)(x + 4)
B.
(x + 4)2
C.
(x + 8)(x − 8)
D.
(x + 8)2
Pls help will give brainliest if the answer it right
Answer: Factors are the numbers and/or variables between your transactions (division, multiplication, addition, and subtraction signs). So the answer would be x2, 16x, and 64.
Step-by-step explanation:
You welcome
Can I get brainliest when sun else answers?
what is the length of the diagonal C
then find the length of diagonal D
Answer:
d = √389
Step-by-step explanation:
to find c we use 15 and 8 into the formula of "a^2 + b^2 = c^2" which is 17. Now we use 17 and 10 as a and b to find c in the formula which is d.
a^2 + b^2 = c^2
10^2 + 17^2 = x^2
100 + 289 = x^2
389 = x^2
√389 = √x^2
√389 = x
Mrs. Little made coffee each day on her 10 day family vacation. The following line plot shows the amount of cups of coffee her family drank each day. Solve to find the total amount of coffee the family drank each day. Mrs. Little made ____ cups of coffee.
Answer:
there isnt a lin plot srry
Step-by-step explanation:
Answer:
9x2=18
10x1=10
11x2=22
12x1=12
13x1=13
14x2=28
ok so now 18+10+22+12+13+28
28+34+41=103
Step-by-step explanation:
i need step by step help pls someone help me and quick!
Answer:
i would love to help but I can't see the whole problem. but going on a Hunch I would say you need to just multiply 45 by however much she's selling
what is the likelihood of choosing a blue marble from a bag containing 8 red, 6 yellow, 12 green, and 6 blue marbles
Answer:
6/32 or 3/16 chance
Step-by-step explanation:
Adding all of the marbles up we get our total, 32.
We have 6 blue marbles so 6/32 or 3/16 chance of picking a blue marble.
Answer:
6/32 or u can simplify it to 3/16
Plzzzzz give me Brainliest!!!!!
PLS HELP ITS TIMED..
Answer:
1. The judge should set a reasonable bail
2. All women
Step-by-step explanation:
Answer:
11. C. Maria should be allowed to call witnesses to support her innocence.
12. C. All women
Step-by-step explanation:
11. If she's pleading not guilty then she should have the right to get a witness.
12. This is the 19th amendment that granted women the right to vote.
PLS HELP NOOOOOOOOOOOOOOOOWWWWWWWWWWWWWW
Answer:
cant its blocked
Step-by-step explanation:
3 of 8
The area of a circle is 16.71cm2.
Find the length of the radius rounded to 2 DP.
Answer:
Radius = 2.31 cm
Step-by-step explanation:
Area of circle = 16.71 square centimeters
[tex]\pi r^2 = 16.71 \\3.14r^2=16.71\\r^2=\frac{16.71}{3.14}\\r^2=5.32\\\sqrt{r^2}=\sqrt{5.32}\\r=2.306[/tex]
Radius of circle = 2.31 centimeter
*
Which does NOT describe SLOPE?
unit rate
rate of change
"per"
initial value
Unit Rate is the correct answer, I know because it is the correct answer
If the sales tax rate is 5% in California, then how much would you pay in Los Angeles for a pair of shoes that cost $35.00?
Answer:
$36.75
Step-by-step explanation:
The sales tax rate = 5 = 0.05 [Divide by 100 to convert in decimal]
The cost of a pair of shoes = $35.00
Tax amount to pay = Tax rate × Cost of a pair of shoes
5% of 35 = 1.75
35 + 5% = $36.75
The population of Laredo, Texas, was about 215,500 in 2007. It was about 123,000 in 1990. If we assume that the population growth is constant, write a linear equation with an integer slope to represent p, Laredo’s population t years after 1990.
The equation of population of Laredo, Texas is :
- [tex]p=\frac{92500}{17}t+123000[/tex]
"Population Growth"Given:
t = the number of years after 1990.So, for 1990, t = 0. So the coordinate is (0, 123000).For 2007, t = 17. So the coordinate is (17, 215500).Using point slope formula:
point slope= [tex]\frac{p-123000}{t-0point slope=\frac{215500-123000}{17-0}\\\frac{p-123000}{t}point slope=\frac{92500}{17}\\p-123000point slope=\frac{92500}{17}t\\ppoint slope=\frac{92500}{17}t+123000[/tex]Learn more about "population growth":
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What is the area of the rectangle
A)60 sq. in.
B)40 sq. in.
C)20 sq. in.
D)28 sq. in.
Answer:
B) 40 sq. in
Step-by-step explanation:
4 times 10 = 40
Evaluate f(x)=−7x−5 when x=−6.
f(−6)=
Answer:
f(_6) = _7(_6)_5
=42_5
=37
Answer this from male and then down or in a row make it clear winner gets brainliest
Answer:
Hope it helps u
Step-by-step explanation:
Check this image it contain ur part a
for part b post this question again then tag me i will solve it properly for u for any doubt just ask ok!!!!!!
Answer:
white male=14white female=7black male=18black female=9total male=32total female=16total rabbits=48hope it helps.
What is 1/2x(4+6x3)-9?
Answer:
Answer is 2
Step-by-step explanation:
Answer:
1st do you do 6 × 3 to get 18 and then you add that by 4 because parentheses come 1st. You want to use Pemdas so you do 1/2 times 22 and then you want to subtract 9 from 22 to get 12.
what is y=3/4x-2 in standard form
Answer:
Hi! The correct answer is 3x-4y=8
Step-by-step explanation:
The expression is equivalent to which integer? 2(-57 divided by 3) + 20^2 - 5
Answer:
The answer is 357
Step-by-step explanation:
To factor a linear expression, look for___ that have terms in common
Answer: Expressions or equations, im not sure which
Step-by-step explanation: There isn't really one
$213 ski jacket with a 30% discount and a 6% tax
158.04$.
What is discount?A discount is a decrease in the cost of a commodity or service. If the item is broken, you can ask the manager for a discount.
Given the Written price of the ski jacket is 213$ on that there is a discount of 30% and 6% of tax. Hence,
discounted price of jacket = 213 (1- 30%)
discounted price of jacket = 149 approx.
Total price of the jacket after-tax = 149 (1 + 6%)
The total price of the jacket after-tax = 158.04$
Therefore, the price of a $213 ski jacket with a 30% discount and a 6% tax is 158.04$.
Learn more about discounts here:
https://brainly.com/question/3541148
#SPJ2
please help me prove the identity
Answer:
[tex]\frac{1-\tan x }{1+\cot x}[/tex]
Step-by-step explanation:
Let [tex]\frac{\sin 2x+\cos 2x-1}{\sin 2x+\cos 2x + 1}[/tex], we proceed to prove the given identity by trigonometric and algebraic means:
1) [tex]\frac{\sin 2x+\cos 2x-1}{\sin 2x+\cos 2x + 1}[/tex] Given
2) [tex]\frac{2\cdot \sin x \cdot \cos x +\cos ^{2}x - \sin^{2}x-1}{2\cdot \sin x \cdot \cos x +\cos ^{2}x - \sin^{2}x+1}[/tex] [tex]\sin 2x = 2\cdot \sin x \cdot \cos x[/tex]/[tex]\cos 2x = \cos^{2}x - \sin^{2}x[/tex]
3) [tex]\frac{2\cdot \sin x \cdot \cos x -\sin^{2}x-(1-\cos^{2}x)}{2\cdot \sin x\cdot \cos x +\cos^{2}x+(1-\sin^{2}x)}[/tex] Commutative, associative and distributive properties/[tex]-a = (-1)\cdot a[/tex]
4) [tex]\frac{2\cdot \sin x \cdot \cos x -2\cdot \sin^{2}x}{2\cdot \sin x \cdot \cos x +2\cdot \cos^{2}x}[/tex] [tex]\sin^{2}x + \cos^{2}x = 1[/tex]
5) [tex]\frac{(2\cdot \sin x)\cdot (\cos x-\sin x)}{(2\cdot \cos x)\cdot (\sin x +\cos x)}[/tex] Distributive and associative properties.
6) [tex]\frac{\sin x\cdot (\cos x-\sin x)}{\cos x\cdot (\sin x +\cos x)}[/tex] Existence of multiplicative inverse/Commutative and modulative properties.
7) [tex]\frac{\frac{\cos x -\sin x}{\cos x} }{\frac{\sin x + \cos x}{\sin x} }[/tex] [tex]\frac{\frac{x}{y} }{\frac{w}{z} } = \frac{x\cdot z}{y\cdot w}[/tex]
8) [tex]\frac{\frac{\cos x}{\cos x}-\frac{\sin x}{\cos x} }{\frac{\sin x}{\sin x}+\frac{\cos x}{\sin x} }[/tex] [tex]\frac{x+y}{w} = \frac{x}{w} + \frac{y}{w}[/tex]
9) [tex]\frac{1-\tan x }{1+\cot x}[/tex] Existence of multiplicative inverse/[tex]\tan x = \frac{\sin x}{\cos x}[/tex]/[tex]\cot x = \frac{\cos x}{\sin x}[/tex]/Result
The volume of a cylinder whose radius is 2r cm and height h/4cm is______________
Answer:
V=πrh/2
Step-by-step explanation:
volume of a cylinder can be calculated using below formula
V=πr2h
Given:
radius =2r cm
height= h/4cm
If we substitute the given value into the formula we have πrh/2
V= π ×(2r) ×(h/4)
Simplyfying
V=πrh/2
Hence, The volume of a cylinder is V=πrh/2
Please help don’t know answer
Answer: Slope: 2/3
y-intercept: 9
Step-by-step explanation:
