About 4.1 seconds. How long was the ball in the air? We are told that t represents time in seconds since the ball was thrown, so it started to be 'in the air' at t = 0 To answer the question, then, we need to know the time when it stopped being in the air. We are told that the ball hit the ground. So that's what happened when it stopped being airborne. We need to relate that event to the mathematics we're working with. What can we say about h , the height of the ball when the ball hits the ground? Answer: The height will be 0 when the ball stops being in the air. Now translate this back to the mathematics: The ball is in the air from t = 0 until the time t when h = 0 . Find the time t that makes h = 0 . That means: solve: − 5 t 2 + 20 t + 2 = 0 We can solve this by solving: 5 t 2 − 20 t − 2 = 0 (Either multiply both sides of the equation by − 1 , or add 5 x 2 − 20 x and − 2 to both sides and then re-write it the other way around) That's a quadratic equation, so try to factor first. But don't spend too much time trying to factor, because not every quadratic is easily factorable and that's OK, because we still have the quadratic formula if we need it. We do need it. t = − ( − 20 ) ± √ ( − 20 ) 2 − 4 ( 5 ) ( − 2 ) 2 ( 5 ) = 20 ± √ 440 10 = 20 ± √ 4 ( 110 ) 10 = 20 ± 2 √ 110 10 = 2 ( 10 ± √ 110 ) 2 ( 5 ) = 10 ± √ 110 5 We can see that 10 < √ 110 < 11 . In fact ( 10 + 1 2 ) 2 = 10 2 + 10 + 1 4 = 110.25 Using 10.25 as an approximation for √ 110 , we get : for the solution t = 10 − √ 110 5 we'll get a negative t . That doesn't make sense. The other solution gives t ≈ 10 + 10.25 5 = 20.5 5 = 4.1 seconds. So the ball was in the air from t = 0 until about t = 4.1 . The elapsed time is the difference, 4.1 seconds.
PLEASE HELP I WILL GIVE BRAINLIEST
Rosa has a coupon for 60% off the before-tax total of two pairs of shoes. The first pair of shoes is marked $45, and the second pair is marked $32. What is Rosa's total cost, in dollars, after a 5.5% sales tax is added?
★write the pair of integer in which multiplication is -45 and difference is 12.
plz answer fast and proper answer
I will make him / her as brainliest and I will thank answer also
Answer:
(3 and 15)
Step-by-step explanation:
If the product of both of these two numbers needs to be a negative 45 then there are no pair of integers that comply with both requirements.
If the multiplication in the question is wrong and it is a positive 45 then the pair of integers that would comply with these requirements would be (3 and 15). Multiplying this pair together would give you 45 and the difference between them is also 12 meaning it complies with both requirements that were asked for in the question.
cual es el factor de 10?
Answer:
Step-by-step explanation:
1,2,5
mencioné tres aparatos tecnológicos que hacen su diseño o utilicen para su fun
cionamiento ruedas de fricción
The length of a 1-inch paperclip is about 1.6 x 10−5 miles. It takes about 1.5 x 1010 paperclips linked together to reach the moon. What is the approximate distance to the moon?
A. 3.1x 10^5 miles
B. 2.4 x 10^-2 miles
C. 3.1x10^-2 miles
D. 2.4 x 10^5 miles
Answer:
D. 2.4 x 10⁵ miles.
Step-by-step explanation:
Given;
length of 1-inch paperclip, L= 1.6 x 10⁻⁵ miles
number of paperclips linked together to reach the moon, n = 1.5 x 10¹⁰
The approximate distance to the moon is calculated as follows;
distance to the moon, d = L x n
distance to the moon, d = 1.6 x 10⁻⁵ miles x 1.5 x 10¹⁰
distance to the moon, d = 2.4 x 10⁵ miles
Therefore, the approximate distance to the moon is 2.4 x 10⁵ miles.
The correct option is D.
................ 9 kg 9 g = .....kg
Answer:
Step-by-step explanation:
9009g = 9kg 9g
On a map drawn to scale, 5 cm represents 30 kilometers. If a line a the same map that connects 2 cities is 7 cm long, what is the distance between the 2 cities?
Answer:
42
Step-by-step explanation:
You can use proportions to solve this problem.
[tex]\frac{5cm}{30km}[/tex]=[tex]\frac{7cm}{xkm}[/tex]
Now just cross multiply.
5cm*Xkm=7cm*30km
you can simplify the cm and km since its multipying.
5x=210
x=42
a) − 5 ( 6 n + 6 ) ≤ 30
b) 8 v − 4 ( v − 8 ) > 8
Answer:
a) n ≥ -2
b) v > -6
Step-by-step explanation:
You did not state what you would like us to do with these. I will assume simplify.
a)
− 5 ( 6 n + 6 ) ≤ 30 first, distribute -5
-30 n + -30 ≤ 30 now, add 30 to both sides so we may isolate n our variable
-30 n ≤ 60 now, divide -30 on both sides so we may isolate n completely. When we do this, the sign changes direction
n ≥ -2
b)
8 v − 4 ( v − 8 ) > 8 first, distribute -4 (note: two negatives equal a positive)
8 v - 4v + 32 > 8 now, simplify
4v + 32 > 8 now, subtract 32 from both sides
4v > -24 now, divide both sides by 4 to isolate v
4v > -24
v > -6
Hope this helps! Please make brainliest <3
Tesfa is x years old. his father is 4 times as old as Tesfa. Her mother is 7 years younger than his father. If their three ages add up to 101 years, how old is Tesfa?
tesfa = x
dad = 4x
mom= 4x-1
x+4x+4x-1=101
9x+1=101
9x=100
100/9= 11.1
NEED ANSWERS PLSS HELP
ANSWER ASAP DUE TODAY
Find the measure of the marked acute angle to the nearest degree.
A) 25
B) 30
C) 120
D) 60
Answer:
B) 30
Step-by-step explanation:
An acute angle is an angle that is more than 0° but less than 90°. Common examples of acute angles include: 15°, 30°, 45°, 60°, etc.
Brainlist Pls!
Answer:
B
Step-by-step explanation:
a is defiened as a number that can be expressed in the form p/q where p and q are integers and q is not = 0
Answer:
a is a rational number
Step-by-step explanation:
A number that can be expressed in the form p/q where p and q are integers and q is not = 0
Above is the definition of rational number.
So, a is a rational number
The people of Bridgetown wanted to build a bridge across a nearby river. Since they were poor swimmers, their master Trigonomos agreed to measure the width of the river without actually crossing it. Trigonomos spotted a tree across the river and marked the spot directly across from it. Then he walked to another point 151515 meters down the river and found that the angle between his side of the river and the line connecting him to the tree was 76^\circ76 ∘ 76, degrees. What is the width of the river?
Answer:
60.16 m
Step-by-step explanation:
Let w = width of river
Using trigonometry :
The width, w of the river is can be calculated thus :
Tan θ = opposite / Adjacent
Tan 76 = w / 15
4.0107809 = w / 15
w = 15 * 4.0107809
w = 60.1617 m
Hence, width of the river is 60.16 m
I will give branliest if u hellp me plz ASAP Find the next three terms of the sequence.
–2, –12, –72, –432, …
Answer:
-2592, -15552, -93312
Step-by-step explanation:
Just multiply the number by 6
Answer
-2,592
Step-by-step explanation:
Each number of the sequence is multiplied up by 6
-2x6= -12, -12x6= -72, -72x6= -423. To get your solution you do -432x6 = -2,592
this is to do with independant events & probability trees
There is a bag filled with 3 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 reds?
Answer: The probability of getting two red marbles is P = 0.141
Step-by-step explanation:
We know that in the bag there are 3 blue marbles and 5 red marbles, then there is a total of 8 marbles in the bag.
The probability of taking at random a red marble is equal to the quotient between the number of red marbles and the total number of marbles, this is:
p = 3/8
Suppose we got a red marble:
Now we replace the red marble we took, so in the bag there are again 3 red marbles and 8 total marbles, then the probability of getting another red marble is again:
q = 3/8
The joint probability (this is, the probability of both events happening) is equal to the product of the individual probabilities, with gives us:
P = p*q = (3/8)*(3/8) = 9/64 = 0.141
The sum of the speeds of two trains is 723.1 miles per hour. If the speed of the first train is 10.9 mph faster than that of the second train, find the speeds of each.
What is the speed of the first train?
9514 1404 393
Answer:
367 miles per hour
Step-by-step explanation:
The speed of the faster train is half the total plus half the difference:
s1 = (723.1 +10.9)/2 = 367 . . . . miles per hour
_____
Check
The slower train is 367-10.9 = 356.1, and the total is 723.1 mph, as required.
_____
If you want an equation, you can let x represent the faster speed. Then the total is ...
x + (x -10.9) = 723.1
2x = 723.1 +10.9
x = (723.1 +10.9)/2 = 367
aaa help please
8(y + 3) – 3y
Answer:
What are we trying to find?
Step-by-step explanation:
Answer:
=5y+24
Step-by-step explanation:
Distribute:
=(8)(y)+(8)(3)+−3y
=8y+24+−3y
Combine Like Terms:
=8y+24+−3y
=(8y+−3y)+(24)
=5y+24
solve for x plezzzzzz
Step-by-step explanation:
x-5 = 12
X = 17
hope this helps
The set for a school play needs a replica of a historic building painted on a backdrop that is 20 feet long and 16 feet high. The actual building measures 320 feet long by 256 feet high. A stage crewmember writes (x, y) arrow right ( 1/20 x, 1/20y) to represent the dilation. Is the crewmember's calculation correct if the painted replica is to cover the entire backdrop? Complete the explanation.
Answer:
Stage crewmember's calculation is incorrect
Correct = 1/16x 1/16y
Step-by-step explanation:
Given that:
Dimension of backdrop : 20 feets long ; 16 feets high
Actual dimension of building : 320 feets long ; 256 feets high
The correct scale factor can be obtained thus :
Ratio of backdrop dimension to the actual dimension of building
Length : 20 / 320 = 1 /16
Height : 16 / 256 = 1/16
Hence, stage crewmember's calculation of (1/20x ; 1/20y) is incorrect.
pleaseeeeee help again
I willl give brainliest
HI hru
Step-by-step explanation:
Answer:
Step-by-step explanation:
In Kite KLMN, find the measure of
Answer:
M = K =
101°Step-by-step explanation:
M = K, because it's a kite.
Kite has 2 angles on the left and right, each with the same size,The kite also has different angles at the other angle points.(Addition of kite angles result in 360°)
Therefore
360 = 63 + 95 + 2M
2M = 360-63-95
2M = 202
M = 202÷2
M = K = 101°
The size of each angle M and angle K = 101 degrees.
____________________
#IndonesianPride - kexcvi
#MerdekaMerdeka
algebra 1. please help me. i’m literally struggling , i’ll give an extra 50 points if it’s right and brainliest. - question in picture
please don’t use me for points i really need help, i’m already failing and so stressed
Answer:
15x² - 3x - 7
Step-by-step explanation:
(12x² + 2x) - (-3x²+ 5x + 7)
First open the parentheses by applying the distributive property.
To do this, multiply each term you have inside (-3x⅔ + 5x + 7) by -1.
Thus, you would have the following:
12x² + 2x + 3x² - 5x - 7
Add like terms
12x² + 3x² + 2x - 5x - 7
15x² - 3x - 7
Help please.. I don’t understand.thank you <3
Answer:
BStep-by-step explanation:
that's my answer :) hahshs
Now that we know how much 1 pound costs, we can determine how much 9 pounds will cost.
What would be the cost of 9 pounds of salmon?
$0.94
$76.50
$17.50
$0.50
help asap plzzzzzz
Answer:
76.5
Step-by-step explanation:
what is 3876153 x 46 =?????????
Answer:
178,303,038
Step-by-step explanation:
Multiply it
Or put it into a calculator
Leah spent 1 hour 32 minutes less than Carl reading last week. Carl spent 51 minutes less than Pete. Pete spent 3 hours reading. How long did Leah spend reading?
Answer:
37 minutes
Step-by-step explanation:
Carl spent 51 minutes less than Pete, so subtract.
3 hours = 180 minutes
180 - 51 = 129 minutes = 2 hours and 9 minutes
And Leah spent 1 hour 32 minutes less than Carl, so subtract again.
1 hour = 60 minutes + 32 = 92 minutes
129 - 92 = 37 minutes.
What is the surface area?
Answer:
1/2×4×2×6+8×5×3=144cm²
30 POINTS
Name the three-dimensional figure shown in the picture.
A three dimensional figure with a regular four sided polygon as the base and four sides made up of three sided polygons is shown.
A. triangular prism
B. square prism
C. square pyramid
D. cone
Answer:
A:triangular prism?!!
A new taxi company, Littleton Cabs, just opened in town. A cab ride for m miles costs 8.5+2m dollars. Polly took a 14-mile cab ride to the airport. What price did Polly pay for her cab ride?
Answer:
$36.50
Step-by-step explanation:
To find the price she paid, plug in 14 as m and simplify:
8.5 + 2m
8.5 + 2(14)
8.5 + 28
= 36.5
So, Polly paid $36.50
find the marked angles . Some construction may be necessary
Step-by-step explanation:
126 / 2 = 63 because the circular angle is 1/2 of the center angle