Answer:
2.12 seconds
Step-by-step explanation:
Given
[tex]h(t) = -16t^2 + 15t + 40[/tex]
Required
Determine how long the ball hits the ground
When the ball hits the ground means that [tex]h(t) = 0[/tex]
So, we have that:
[tex]h(t) = -16t^2 + 15t + 40[/tex] becomes
[tex]0 = -16t^2 + 15t + 40[/tex]
Reorder
[tex]-16t^2 + 15t + 40 = 0[/tex]
Multiply through by -1
[tex]16t^2 - 15t - 40 = 0[/tex]
Solve using quadratic:
[tex]t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]
Where
[tex]a = 16[/tex] [tex]b = -15[/tex] [tex]c = -40[/tex]
So, we have:
[tex]t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex] becomes
[tex]t = \frac{-(-15)\±\sqrt{(-15)^2 - 4*16*-40}}{2*16}[/tex]
[tex]t = \frac{15\±\sqrt{(-15)^2 - 4*16*-40}}{2*16}[/tex]
[tex]t = \frac{15\±\sqrt{225 +2560}}{32}[/tex]
[tex]t = \frac{15\±\sqrt{2785}}{32}[/tex]
[tex]t = \frac{15\±52.77}{32}[/tex]
Split:
[tex]t = \frac{15+52.77}{32}[/tex] or [tex]t = \frac{15-52.77}{32}[/tex]
[tex]t = \frac{67.77}{32}[/tex] or [tex]t = \frac{-37.77}{32}[/tex]
[tex]t = 2.12[/tex] or [tex]t = -1.18[/tex]
But time can't be negative
So:
[tex]t = 2.12[/tex]
Hence, time to hit the ground is 2.12 seconds
Which statement is true? Select all that apply
The relationship is proportional.
The slope is -6.
The slope is negative.
The y-intercept is -3.
The equation of the line is y = -3x.
if X=14 and y=-6 and z=1 find the value
ii- ( x+3)(y-4)(z-9)
Answer:
14 +3 - 17
6-4 = 2
1 -9 = -8
Step-by-step explanation:
Answer:
14+3= 17
6-4= 2
1 -9= -8
Step-by-step explanation:
A 4-pound bag of charcoal coasts $7.44. what is the unit price?
Answer: use a calculator or ask for help
Step-by-step explanation:
what is speed of sound in air at 100 degree celcius?
Answer:
386m/s is the answer to your question
i need help with this
Answer:
ok what here are u meant to do
Find the slope of the line that passes through the points (5,9) and (2,7).
Answer:
-2/3
Step-by-step explanation:
y2-y1 over x2-x1
If a person walks 1/4 of a mile in 1/8 of an hour. Determine how many miles they are running per hour.
Answer:
1&1/8 m/h
Step-by-step explanation:
2/8 of a mile = 1/8 of an hour
add 7/1 to both sides thats 1 and 1/8 of a mile in 1 hour
You and a friend are playing a card game. You draw a card from a standard deck of 52 cards. Your friend gives you two choices of games to play. Game A: pay $4 and if you draw a card that is worth 9 or more, you will win double your money. Game B: pay $2 and if you draw a card that is a heart, you will win $3. Which game should you play? NOTE: Face cards and ace count as 10 points. Explain using complete sentences.
if there are 13 heart cards in total and there are 20 cards that have a value above 9, your odds are better for game a.
Giving BRAINLIEST Select the table that represents a linear function. (Graph them if necessary.)
A.
x 0 1 2 3
y 0 2 5 8
B.
x 0 1 2 3
y 8 6 7 5
C.
x 0 1 2 3
y 10 9 7 4
D.
x 0 1 2 3
y 11 8 5 2
answer is a because while doing it in graph it seems a straight line
Which is bigger 9/5 or 9/10
Answer:
9/10
Step-by-step explanation:
because it is
Write the first four terms of sequence Rule:start at 28.6, subtract 3.1
28.6, 25.5, 22.4, 19.3... hope this helps!!
what is 6 1/2 / 3 1/2? please help me!
Answer:
1 6/7
Step-by-step explanation:
Answer:
13/7 or 16/7, they are the same, just different ways of writing it.
Step-by-step explanation:
(6 1/2) / (3 1/2)
Convert to an improper fraction
(13/2) / (7/2)
To divide a fraction, find the reciprocal of the second fraction, and multiply it by the first:
(13/2) * (2/7)
simplfiy
(13/7)
Which is the same as:
1 6/7
a truck weighs 9,000 pounds. a repair shop sends a tow truck that can pull 5 tons.can the tow truck tow the truck? explain.
I need help please
Answer:
1, 2
Step-by-step explanation:
An easy way to find the solution to a system of linear equations is to just replace it with x and y.
1, 2
1+2=3(x+y+3)
2+10=12(2x+5y=12)
Answer:
(1,2)
it's correct answer....be sure it's correct
Allison can jog 3 blocks in the same amount of time it takes her brother, Blake, to jog 2 blocks. If they keep jogging at the same rate, how many blocks will Blake jog if Allison jogs 18 blocks?
Answer:
Blake will jog 12 blocks
Step-by-step explanation:
Allison : Blake = 3 : 2
If they keep jogging at the same rate, how many blocks will Blake jog if Allison jogs 18 blocks?
Allison : Blake = 18 : x
Equate the ratios
3 : 2 = 18 : x
3/2 = 18/x
Cross multiply
3 * x = 2 * 18
3x = 36
Divide both sides by 3
x = 36 / 3
= 12
x = 12
Blake will jog 12 blocks
Answer:
12 blocks
Step-by-step explanation: she ran 12 blocks
-6x+3y=-7 x-intercept
Answer:
X=-6 y=3
Step-by-step explanation:
Answer:
7/6
Step-by-step explanation:
-6x+3y=-7
-6x=-3y-7
x=1/2y+7/6
x-int= 7/6
A 3-gallon jug of orange juice costs $10.44. What is the cost of the orange juice per quart?
A.
$1.07
B.
$0.87
C.
$2.06
D.
$0.98
Answer:
B. $0.87
Step-by-step explanation:
Divide $10.44 by 12 (how many quarts are in 3 gallons) to get the answer.
1.
Marsha’s cat weighs 15.41 pounds. Her bunny only weighs 4.79 pounds. About how much more does her cat weigh?
10 pounds
10.62 pounds
20 pounds
11 pounds
Answer:
it's about 10, but without rounding it's 10.62
Step-by-step explanation:
Evaluate each expression if a = 3.45 and b = 15.356.
6. b-a.
7. a + b + 5
Answer:
11.906
23.806
Step-by-step explanation:
here you go also can you check my account for some lyrics i posted :)
In an asteroid field, 75% of the asteroids are carbonaceous asteroids. There are 375,000 carbonaceous asteroids in the asteroid field. How many asteroids are not carbonaceous? Asteroids are not carbonaceous.
Given:
In an asteroid field, 75% of the asteroids are carbonaceous asteroids.
There are 375,000 carbonaceous asteroids in the asteroid field.
To find:
The number of asteroids that are not carbonaceous.
Solution:
Let the total number of asteroids be x.
According to question,
[tex]75\%\text{ of }x = 375000[/tex]
[tex]\dfrac{75}{100}x=375000[/tex]
[tex]0.75x=375000[/tex]
Divide both sides by 0.75.
[tex]x=\dfrac{375000}{0.75}[/tex]
[tex]x=500000[/tex]
Asteroids not carbonaceous = Total asteroids - Carbonaceous asteroids
[tex]=500000-375000[/tex]
[tex]=125000[/tex]
Therefore, 125,000 asteroids are not carbonaceous.
Please help this is due tonight my future depends on it.
PROBLEM:
The cost of a pizza varies directly as the square of its radius. If a pizza with a 1 inch radius costs
$3.25, how much should a pizza with a 6 inch radius cost?
Answer:19.5
Step-by-step explanation:
3.25x6
Answer:
$19.50
Step-by-step explanation:
3.25*6
=19.50
If they instead chose front and back covers of thickness 1/3 of an inch, how would this change the equations in the previous two parts
Answer:
where is the rest of the question
Step-by-step explanation:
Answer:
y = 1/2 + 1/4*x
Explanation:
Given that the front cover has a thickness of 1/4 an inch and back cover also has a thickness of 1/4 an inch, then, the addition of both gives to the book thickness of 1/4 + 1/4 = 1/2 inch, despite how many pages it has.
Given that for every hundred pages a thickness of 1/4 inch is added to the book, then the equation is:
y = 1/2 + 1/4*x
where y refers to the width of the book, and x refers to every hundred pages printed on bond paper. Y is measured in inches.
I need help with my spanish
Can someone pls help
Answer:
It finally let me make an answer so here’s the answer:
1) he goes to el heladeria to get more ice cream
2) el banco to get money to pay
4) el mercado to get vegetables
5) el cafe to get more bread
The things you circle in the sentence for the correct verb are
1) comer (eat)
3) beber (drink)
4) usar (use)
5) comer (eat)
6) beber (drink) I hope this helps!
Complete the table of values for this equation:
y= 4x +30
Enter your answer by filling in the boxes.
х
y
3
4
5
Answer:
x = 1 , y = 34
x = 2 , y = 38
x = 3 , y = 42
x = 4 , y = 46
x = 5 , y = 50
Step-by-step explanation:
The solution for the equation at different values is given below:-
x = 3 , y = 42
x = 4 , y = 46
x = 5 , y = 50
What is a linear equation?A linear equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Given that the equation is y= 4x +30. From the table, the value of y at different values of x will be:-
x = 3 , y = ( 4 x 3) + 30 = 12 + 30 = 42
x = 4 , y = ( 4 x 4 ) + 30 = 16 + 30 = 46
x = 5 , y = ( 4 x 5 ) + 30 = 20 + 30 = 50
Therefore, the solution for the equation at different values is at x = 3 , y = 42 then at x = 4 , y = 46 and, at x = 5 , y = 50.
To know more about linear equations follow
https://brainly.com/question/20401690
#SPJ5
The weight y of an object on Mars is proportional to the weight x of the object on Earth. An object that weighs 70 pounds on Earth would weigh 28 pounds on Mars. Write an equation that represents the situation. Then determine how much a boulder that weighs 250 pounds on Mars would weigh on Earth.
An equation that represents the situation is y=
A rock that weighs 250 pounds on Mars would weigh _ pounds on Earth.
Answer:
625 poundsStep-by-step explanation:
Given:
Weight on Earth = 70 poundsWeight on Mars = 28 poundsAs per given the proportion is:
y/x = 28/70 ⇔ y/x = 2/5A rock that weights 250 pounds on Mars would weigh on Earth:
250/x = 2/5x = 250*5/2x = 625 pounds
Car Survey in a survey of 1,800 people who owned a certain type of car, 1,080 said they would buy
that type of car again. What percent of the people surveyed were satisfied with the car?
Answer: 60%
Step-by-step explanation:
First you have 1,080 satisfied out of 1,800.
Then you divide 1,080/ 1,800.
When you divide you get .6
Finally move the decimal 2 places to the right and you get 60 which is 60%.
Assume that y varies directly with x. If y= 2/5 when x= 1/3, find y when x = 1/4
Step-by-step explanation:
y1/x1=y2/x2
2/5÷1/3=y÷1/4
y=3/10=0.3
Write the equation 2x - 3y= 6 in slope-intercept form.
y=2/3 x+3
y=2/3 x-2
Y=3/2 x+3
A bag contains 36 calculators. This number is 75% of the number of calculators that can fit in the bag. How many calculators can the bag hold when filled?
Answer:
48
Step-by-step explanation:
Let X represent the total number of the calculator, then we can form an equation from the explanation of the question as
X × 75/100=36
75x=36×100
Making X the subject of the formula we have,
X=3600/75
X=48
Hence, 48 calculators can the bag hold when filled
how to describe transformation