An astronaut on the moon throws a baseball upward. The astronaut is 6 ft 6 in tall, and the initial velocity of the ball is 40 ft per sec. The height s of the ball in feet is
given by the equation s = -2.7t^2 + 40t + 6.5, where t is the number of seconds after the ball was thrown. Complete parts a and b.
a. After how many seconds is the ball 14 ft above the moon's surface?
After ____ seconds the ball will be 14 ft above the moon's surface.
(Round to the nearest hundredth as needed. Use a comma to separate answers as needed.)
Answers
Answer: 0.19s and 14.6s
Step-by-step explanation:
The distance of the ball at any time is given by the function s(t). For now, you can ignore all the details about the height of the man and the intial velocity of the ball. We only care about what time 't' will the ball be 14 feet off the ground. In math terms, they are asking when:
[tex]s(t)=14[/tex]
Where:
[tex]s(t)=-2.7t^2+40t+6.5=14[/tex]
Subtract 14 on both sides:
[tex]s(t)=-2.7t^2+40t-7.5=0[/tex]
Use the quadratic formula to solve for the variable 't'. This will give the possible time values where the ball will be 14 feet off the ground:
[tex]t=-b+\sqrt{b^2-4ac} /2a[/tex]
[tex]t=-b-\sqrt{b^2-4ac} /2a[/tex]
[tex]a=-2.7[/tex]
[tex]b=40[/tex]
[tex]c=-7.5[/tex]
Therefore:
[tex]t=(-40)+\sqrt{40^2-4(-2.7)(-7.5)} /2(-2.7)=0.19s[/tex]
[tex]t=-40-\sqrt{40^2-4(-2.7)(-7.5)} /2(-2.7)=14.6s[/tex]
This is saying the ball almost immediately hits 14 feet given the intial velocity, then it reaches its peak and falls back down to 14 feet again, where it will eventually hit the ground again
Related Questions
PLEASE HELP PLEASE PLEASE HELP
Answers
Answer:
The brightest star in the night sky is Sirius, located 500,000 times further away than the sun. Sirius is also 20 times brighter than the sun, which is why it is so easy to see at night. Our sun is a medium star of average size and brightness.
At a track meet, Jacob and Daniel compete in the 220 m hurdles. Daniel finishes in of a minute. Jacob
finishes with of a minute remaining. Who ran the race in the faster time?
12
Answers
Daniels finishes in of the a min.
Jacob finishes with of a min remaining.
Question:
Who ran the race in faster time?
The Process:
Let us see the denominators. The least common multiple (LCM) of 4 and 12 is 12.
Let us draw the diagram that represents a minute.
12 units represent in one minute.
Daniels finishes in of the a min.
or 9 of 12 units.
Jacob finishes with of a min remaining, or 5 of 12 units. This means Jacob finishes in or 7 of 12 units, that is
And now we conclude who ran the race in a faster time.
Daniels:
Jacobs:
Because Jacob took the race in a shorter time, he was who ran the race in a faster time.
- - - - - - - - - -
Quick Steps
Daniels: in of the a min.
Jacob: in of the a min.
Jacob's time is shorter, so he's the fastest.
- - - - - - - - - -
Calculate the speed
Recall
Daniels:
Jacob:
Thus, Jacob's speed proved greater than Daniels's speed.
Which of the following is equivalent to 3(y + 4) – 7? (А) Зу — 5 - В Зу – 3 С Зу + 5 D Зу +6
Answers
Use the Distributive Property, which states the following:-
a(b+c)[tex]\rightarrow[/tex]ab+ac
Simplify:-
3(y+4)-7
3y+12-7
Combine Like terms:-
[tex]\sf{3y+5}[/tex]
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
A family-size container of trail mix contains 40 ounces. This is 250% of the amount in the regular-size container.
How many ounces are in the regular-size container of trail mix?
Enter your answer in the box
Answers
Answer:
16 should be the correct answer
Having trouble with the question!
Answers
Answer:
C) [tex]6r^2-9r-6[/tex]
Step-by-step explanation:
Open the parentheses, you get:
[tex]-3r^2-2r-4+9r^2-7r-2[/tex]
Then combine like terms:
[tex]-3r^2+9r^2=6r^2\\-2r-7r=-9r\\-4-2=-6\\[/tex]
Then right as a polynomial:
[tex]6r^2-9r-6[/tex]
So the answer would be C)
Answer:
6r² - 9r - 6
Step-by-step explanation:
(-3r² - 2r - 4) - (-9r² + 7r + 2)
Multiply to remove the parenthesis:
(-3r² - 2r - 4) - (-9r² + 7r + 2)
1(-3r² - 2r - 4) - 1(-9r² + 7r + 2)
1(-3r²) +1(-2r) + 1(-4) + -1(-9r²) + -1(7r) + -1(2) <== remember that multiplying 2 negatives, makes a positive
-3r² - 2r - 4 + 9r² - 7r - 2
Combine any like terms:
-3r² - 2r - 4 + 9r² - 7r - 2
6r² - 9r - 6 <== make sure that your answer is in Standard form (in decreasing degrees)
Hope this helps!
Please help me solve this question, I will mark brainly.
Andrew bought a computer costing #150000. How much will the same computer cost in 3 years time if the rate of inflation is 12% per annum.
Answers
Answer:
I have no Idea btw have a great day
May anyone help me pls
Answers
Step-by-step explanation:
b is the smallest and then a , d, c, e
would like some help
Answers
Answer:
a) Greatest Common factor = 3
b) Greatest Common factor = x
c) Greatest Common factor = xy
Step-by-step explanation:
a)
We can write the equation "3x² - 9x + 12" into three parts and we factor them:
3x² = [tex]3\times\:x\times\:x[/tex]
9x = [tex]3\times\:3\times\:x[/tex]
12 = [tex]2\times\:2\times\:3[/tex]
Common factor = 3
b)
We can write the equation "5x² + 3x" into two parts and we factor them:
5x² = [tex]5\times\:x\times\:x[/tex]
3x = [tex]3\times\:x[/tex]
Common factor = x
c)
We can write the equation "x²y - xy²" into two parts and we factor them:
x²y = [tex]x\times\:x\times\:y[/tex]
xy² = [tex]x\times\:y\times\:y[/tex]
Common factor = xy or x ⋅ y
#1
3x²-9x+123 is common
x is not present at 12 hence it can't 3xGCF=3
#2
5x²+3xNothing common except x and 1
GCF=x#3
x²y-xy²GCF=xy
how to convert 8.1 into a fraction
Answers
Answer:
81/10
Step-by-step explanation:
The equation c= 0.20t +3.50 shows the relationship between the charge, c in dollars, for renting a kayak for t minutes.
What is the meaning of the y-intercept?
O For So you can rent a kayak for 3.5 minutes.
It costs $3.50 per minute to rent a kayak
Every 3.50 minutes you have to pay $1.00
O You have to pay $3.50 up front before using the kayak.
Answers
Answer:
You have to pay $3.50 up front before using the kayak
For problems 11-14, identify the property shown. 11. 16×p=16.
Answers
Answer:
Step-by-step explanation:
11. identity property
12. associative property
13. commutative property
14. zero property
Si en total tiene 250 monedas que suman $42.50 ,Cuántas monedas de 25 centavos tiene en su alcancía?
Answers
Answer:
65 alojamiento
Step-by-step explanation:
peaches are being sold go $2 per pound. The customer created a model to represent the total cost of peaches bought. if x represents the number of pounds of peaches bought and y represents the total cost of the peaches, which best describes the values of x and y?
Answers
Answer:
y=2x
Step-by-step explanation:
x independent?
y dependent
positive change? so srry
What are the last two digits of 7^1867?
Answers
Considering that the powers of 7 follow a pattern, it is found that the last two digits of [tex]7^{1867}[/tex] are 43.
What is the powers of 7 pattern?The last two digits of a power of 7 will always follow the following pattern: {07, 49, 43, 01}, which means that, for [tex]7^n[/tex], we have to look at the remainder of the division by 4:
If the remainder is of 1, the last two digits are 07.If the remainder is of 2, the last two digits are 49.If the remainder is of 3, the last two digits are 43.If the remainder is of 0, the last two digits are 01.In this problem, we have that n = 1867, and the remainder of the division of 1867 by 4 is of 3, hence the last two digits of [tex]7^{1867}[/tex] are 43.
More can be learned about the powers of 7 pattern at https://brainly.com/question/10598663
If a house is 4,753 sq. ft, at the cost of $175/sq. ft what is the total cost of the house?
Answers
Answer:
$831,775
Step-by-step explanation:
$175 / sq ft and there are 4,753 square feet, so all we have to do is
175 x 4753 = 831775
Hope this makes sense. If you need further explanation, let me know!
- profparis
Answer:
$831,775
Step-by-step explanation:
the total cost of the house is 4,753 × 175 which is $831, 775
100 points please help
Factor 36x2 + 60x + 25.
(6 x + 5) 2
(12 x + 5)(3 x + 5)
(6 x + 5)(6 x - 5)
Answers
15√6 cm
12/54 cm
6√24 cm
Answers
Answer:
Step-by-step explanation:
15√6
12√54 = 12√(9×6) = 36√6
6√24 = 6√(4×6) = 12√6
15√6 + 36√6 + 12√6 = 63√6
is 2/100 equivalent to 2/10
Answers
Answer:
no, because 2/10 is actually bigger than 2/100
Step-by-step explanation:
because if you think about a fraction as a part of a circle, and each of the denominators standed for one piece of the circle, then there would be way more pieces on the 100 circle and they would be smaller, thus, making 2 of them worth less than 2 of the circle with only 10 pieces.
True or False?
(–3)^22 is greater than (–2)^33
Answers
Answer:
true
Step-by-step explanation:
(-3)^22 -> to the power of an even number -> answer is positive
(-2)^33 -> to the power of an odd number -> answer is negative
positive # > negative #
Answer:
True
Step-by-step explanation:
First let's compare them.
(-3)²² (-2)³³-3 raised to an even power will give a positive number.
-2 raised to an odd power will give a negative number.
Therefore, (-3)²² > (-2)³³ is a true statement.
what is equal to 13 centimeters.
Answers
Answer:
5.11811 inches
Step-by-step explanation:
2. Lisa can buy orange juice in 0.24-liter cartons or 0.48-liter cartons. Which is closest to the
number of 0.48-liter cartons she would need to completely fill a pitcher that holds 3.58 liters?
(A. 1.7
B. 5.0
C.1.5
D. 15.0
Answers
Answer:
i think its 1.7 if this is correct can u mark me brainliest
Step-by-step explanation:
Alexander is a stockbroker. He earns 14% commission each week. Last week, he sold $5,400 worth of stocks. How much did he make last week in commission? If he averages that same amount each week, how much did he make in commission in 2011?
Answers
Answer:
In that one week, his commision was $896, over all 52 weeks, he made $46592
Step-by-step explanation:
So, he makes 14% commision on any stock he sells. This week, he sold $6,400 worth of stocks, and, hes going to make 14% on it. So, take 6400 and divide that by 14%, and what do you get? $896! So, he made $896 that week. Now, say he made that amount EVERY WEEK. so, all you have to do is know how many weeks are in a year (52) and multiply that by 896, which gives you 46592.
PLS HELPPPPPPPPP Jake is eating cereal he counts how much cereal he has. He has 78 and eats 56 how much does he have left.
Answers
Answer:
22
Step-by-step explanation:
78-56 5 goes in to 7 2 times so 2 is th tens diget 8-6=2 so the answer is 22
Find the area of the figure.
(Sides meet at right angles.)
Answers
Answer:
16
Step-by-step explanation:
A of rectangle = L x W
= 3 x 4
= 12
A of square = L x W
= 2 x 2
= 4
The result is 16 squared
can anyone help with this?
Answers
Answer:
It's a 270 degree rotation or -90 degree rotation there the same thing all the other answer choices are wrong besides 270 degree rotation.
Step-by-step explanation:
Traveling in a fried-out Kombi
On a hippie trail, head full of zombie
I met a strange lady, she made me nervous
She took me in and gave me breakfast
And she said
Do you come from a land down under?
Where women glow and men plunder?
Can't you hear, can't you hear the thunder?
You better run, you better take cover
Buying bread from a man in Brussels
He was six-foot-four and full of muscle
I said, "Do you speak-a my language?"
He just smiled and gave me a Vegemite sandwich
And he said
I come from a land down under
Where beer does flow and men chunder
Can't you hear, can't you hear the thunder?
You better run, you better take cover, yeah
Lyin' in a den in Bombay
With a slack jaw, and not much to say
I said to the man, "Are you trying to tempt me
Because I come from the land of plenty?"
And he said
Oh, you come from a land down under? (Ooh, yeah, yeah)
Where women glow and men plunder?
Can't you hear, can't you hear the thunder?
You better run, you better take cover ('cause we are)
Living in a land down under
Where women glow and men plunder
(Can't you hear thunder) can't you hear, can't you hear the thunder?
You better run, you better take cover
Living in a land down under
Where women glow and men plunder
Can't you hear, can't you hear the thunder? (Ooh yeah)
Better run, you better take cover (we are)
Living in a land down under (ooh yeah)
Where women glow and men plunder
Can't you, can't you hear the thunder?
Better run, you better take cover
Living in a land down under (living in a land down under)
Where women glow and men plunder
Can't you, can't you hear the thunder?
Sancho paints the new sign for his bike shop. One quart of paint covers 200 square
feet, and Sancho plans on applying three coats of paint. One quart of paint cost
$8.97. What is the square footage of his sign and ow much must Sancho spend to
paint the sign?
Answers
Slit the shape into a rectangle and two triangles:
Rectangle = 9 x 8 = 72 sq. Ft.
Triangle = 1/2 x 8 x 2.5 = 10 sq. Ft x 2 = 20 sq. Ft.
Total area = 72 + 20 = 92 sq. Ft.
3 coats x 92 = 276 sq ft worth of paint.
1 quart covers 200 so he would need to buy 2 quarts:
2 x $8.97 = $17.94 total
I don’t understand how to do this! Could you help me step by step, please?
Answers
Answer: x=12
Step-by-step explanation: Combine Multiplied terms into a single fraction: 3 = 18 - 5/4 x 3 = 18 - -5/4x
Find common denominator: 3= 18+ -5/4x 3= 4 x 18/4 + -5x/4
Combine fractions with common denominator: 3= 4 x 18/4 + -5x/4 3=4 x 18/- 5x/4
Which expression is a factored form of
3n² - 4n - 4
Answer choices.............................
................................................
ANSWER
for reference of other who need it. cuz I needed it and it wasn't on here
A: (n+2) (3n +1)
Answers
Answer:
The answer is (n – 2) (3n + 2)
Step-by-step explanation:
3n² – 4n – 4
3n² – 6n + 2n – 4
3n(n – 2) + 2(n – 2)
(n – 2) (3n + 2)
Thus, (n – 2) (3n + 2) is a factored of
3n² - 4n - 4
PLS ANSWER THIS FAST
WILL MARK BRAINLIEST
Answers
The actual measurement of the length of the colored face of the aquarium is D. 36 inches by 14 inches.
What is a scale drawing?Generally, a scale drawing is described as a drawing that has been reduced or enlarged from its original size to a specified scale.
For instance, the scale of the drawing of the original aquarium is ¹/16. This implies that the length, width, and height have been scaled down to one-sixteenth of the original size.
Data and Calculations:Scale drawing = ¹/16 of the original aquarium
Length of the colored face = 2¹/₄ inches
The actual length of the colored face = 36 inches (2¹/₄ inches x 16)
Thus, the actual measurement of the length of the colored face of the aquarium is D. 36 inches by 14 inches.
Learn more about measurements at https://brainly.com/question/24842282
what is the answer because i dont know
Answers
Answer:
x° = 68°
Step-by-step explanation:
angle EGB = x° = angle AGF = complementary angle of 22°
The complementary angle of 22° is :
[tex]x^{o} =(90-22)^{o} =68^{o}[/tex]
Hope this helps