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Related Questions
An arrow is shot upward with a velocity of 64 feet per second. Using the formula h(t)=64t-16t^2, how long after the arrow is released does it hit the ground?
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-16t^2+64t=0 factor
-16t(t-4)=0, we know t>0 so
t=4 seconds.
Answer:
After the 4 second arrow is released, it will hit the ground.
Step-by-step explanation:
Consider the provided formula.
[tex]h(t)=64t-16t^2[/tex]
We need to find how long after the arrow is released does it hit the ground.
If the arrow hit the ground that means the value of h(t)=0.
Substitute the value of h(t)=0 and solve the equation as shown.
[tex]64t-16t^2=0[/tex]
[tex]16t(4-t)=0[/tex]
Now use zero product rule: If ab=0 then either a=0 or b=0
[tex]16t=0\ or\ 4-t=0[/tex]
[tex]t=0\ or\ -t=-4[/tex]
[tex]t=0\ or\ t=4[/tex]
Hence, after the 4 second arrow is released, it will hit the ground.
Model the function rule y = -2x - 3 with a table of values. Show your work.
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y = -2x - 3....subbing in 0 for x
y = -2(0) - 3
y = -3....so when x = 0, y = -3....(0,-3)
y = -2x - 3...subbing in 1 for x
y = -2(1) - 3
y = -2 - 3
y = -5....so when x = 1, y = -5...(1,-5)
y = -2x - 3...subbing in 2 for x
y = -2(2) - 3
y = -4 - 3
y = -7...and when x = 2, y = -7...(2,-7)
ur table would then be :
x y
0 -3
1 -5
2 -7
u can add more points if needed...but I think u can figure it out now.
-2(-3)-3= (6)-3= 3
-2(-2)-3=(4)-3= 1
-2(-1)-3=(2)-3= -1
-2(0)-3=(0)-3= -3
-2(1)-3=(-2)-3= -5
-2(2)-3=(-4)-3= -7
-2(3)-3=(-6)-3= -9
x l y
-3 3
-2 1
-1 -1
0 -3
1 -5
2 -7
3 -9
A ladder that is 14 feet long is placed against a building. The bottom of the ladder is 6 feet from the base of the building.
In feet, how high up the side of the building is the top of the ladder? Round to the nearest tenth of a foot
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c^2 = a^2 + b^2, where c is the hypotenuse, a and b are the other shorter legs. Substituting the values,
14^2 = 6^2 + x^2
x^2 = 14^2 - 6^2
x^2 = 160
x = 4√10 = 12.65 feet
The height of the building from the top of the ladder is 12.6 ft
The situation forms a right angle triangle.
Right angle triangle:A right angle triangle is a triangle that has one of its sides as 90 degrees.
Therefore,
The length of the ladder is the hypotenuse side.
The bottom of the ladder distance from the base of the building is the adjacent side of the triangle. Therefore,
The height of the building from the top of the ladder is the opposite sides. Therefore, using Pythagoras theorem.
c² = a² + b²
14² - 6² = b²
b² = 196 - 36
b² = 160
b = √160
b = 12.6491106407
b = 12.6 ft
learn more on right triangle here: https://brainly.com/question/12553755
The highest score that is a record for a particular video game is 19,749 points. The lowest score on record for the same video game is 176 points. Which of the following inequalities best shows the range of scores recorded on the game?
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They key is the less than or equal to sign.
Have a blessed day :)
The highest score that is a record for a particular video game is 19,749 points, and it means that the individual could get 19749 points or lower than that, so the inequality will be like this:
[tex]x \leq 19749[/tex]
Next, the lowest score on record for the same video game is 176 points, and it also means that the individual could get 176 points or lower, so the inequality will be:
[tex]x \geq 176[/tex].
Finally, we have the two inequality we want and let's combine them, to get:
[tex]176 \leq x \leq 19749[/tex]. As a result, D is your final answer. Hope it help!
The area of a triangle is 6 square feet. The base is 3 times its height. What is the base of the triangle?
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Area=1/2 bh
6=1/2bh
12=bh
height is x, base 3x
12=3x^2
x^2=4
x=2
height = 2 feet
base = 3*2 = 6 feet
Rewrite the set M by listing its elements. Make sure to use the appropriate set notation
M= {x | x is an integer and -2 < x < 1}
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M= {x | x is an integer and -2 < x < 1}In words, this set translates to numbers that are integers and greater than -2 but less than 1.
The actual elements of the set are
M = { -1, 0}
There are only two elements.
What is the equation of the line that is parallel to y = -2x + 4 and goes through the point (1,7)
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-----------------------
Work Shown:
The slope of the line y = -2x+4 is m = -2
Any line parallel to this line will also have a slope of m = -2
Parallel lines have equal slopes
Plug this slope, along with the given point (x1,y1) = (1,7) into the point slope formula. Then isolate y
y - y1 = m(x - x1)
y - 7 = -2(x - 1)
y - 7 = -2x + 2
y - 7 + 7 = -2x + 2 + 7
y = -2x + 9
A factory employs 3 full-time workers and 6 part-time workers; the amount earned by each is: $36,000 for the production supervisor; $27,000 for the machine operator; $21,000 for the general assistant; a total of $50,000 for part-time staff. How much was the wage bill for the 3 full-time staff?
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The total wage for full-time workers is 84000$.
What is simplification?Simplifying a value simply means finding it in its most basic form. To simplify the problem, we use a number of approaches, including PEMDAS and BODMAS. Aside from the value, the variables must also be made simpler.
Given, A factory employs 3 full-time workers and 6 part-time workers; the amount earned by each is $36,000 for the production supervisor; $27,000 for the machine operator; $21,000 for the general assistant; a total of $50,000 for part-time staff.
The Total wage for the full-time staff = 36000 + 27000 + 21000
The total wage for the full-time staff = 84000
Therefore 84000$ was the wage bill for the 3 full-time staff.
Learn more about simplification here:
https://brainly.com/question/746677
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You are watching your favorite soccer player on TV. Statistics show that he has a 37% chance of scoring a goal each time he shoots. He shoots twice. What is the probability that he scores a goal both times?
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what is 18 divided by negative 3
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answer
negative 6 is 18 divided by negative 3
hope it helps
A negative divided by a positive concludes in a negative.
Check your work.
[tex]-6(-3) = 18[/tex]
A negative times a negative equals a positive.
The area of a triangle is 6.75m2. If the base of the triangle is 3 m, what is the height of the triangle?
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Can some one please help me ?
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110% =1.10
multiply the old price by that
2.85 *1.10 = 3.135
round to 3.14
new price is $3.14
From the side view, a gymnastics mat forms a right triangle with other angles measuring 60° and 30°. The gymnastics mat extends 5 feet across the floor. How high is the mat off the ground?
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To find the height of the mat off the ground, we can use trigonometry.
Explanation:To find the height of the mat off the ground, we can use trigonometry. Since the angles of the right triangle formed by the mat are 60° and 30°, we can determine the height using the sine function. The sine of an angle is equal to the length of the side opposite the angle divided by the length of the hypotenuse.
In this case, the side opposite the 30° angle is the height of the mat, and the hypotenuse is the length of the mat, which is 5 feet. So, we have sin(30°) = height/5. Solving for the height, we get height = 5 * sin(30°) = 5 * 0.5 = 2.5 feet.
Therefore, the mat is 2.5 feet off the ground.
The correct answer is option B. The height of the gymnastics mat off the ground is [tex]\frac{5\sqrt{3}}{3}}[/tex] feet.
Given that the gymnastics mat extends 5 feet across the floor, this length corresponds to the side opposite the 60° angle in the right triangle.
Let's denote the length of the side opposite the 30° angle as [tex]$x$[/tex].
According to the properties of a 30-60-90 triangle, the side opposite the 60° angle is [tex]\sqrt{3}[/tex] times the side opposite the 30° angle, so we have:
[tex]\[ 5 = x\sqrt{3} \][/tex]
To find [tex]$x$[/tex], we divide both sides of the equation by [tex]$\sqrt{3}$[/tex]:
[tex]\[ x = \frac{5}{\sqrt{3}} \][/tex]
To rationalize the denominator, we multiply the numerator and the denominator by [tex]$\sqrt{3}$[/tex]:
[tex]\[ x = \frac{5\sqrt{3}}{3} \][/tex]
The complete question is:
From the side view, a gymnastics mat forms a right triangle with other angles measuring 60° and 30°. The gymnastics mat extends 5 feet across the floor. How high is the mat off the ground?
A. [tex]\frac{5}{2}[/tex] ft.
B. [tex]\frac{5\sqrt{3}}{3}[/tex] ft.
C. [tex]5\sqrt{3}}[/tex] ft.
D. 10 ft.
Simplify (9.5)(−2)(−5).
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You get 95
hope this helps:)
All you have to do is multiply them :)
{(9.5)(-2) · (-5)}
Simplify.
(-19) · (-5)
Simplify.
95
~Hope I helped!~
How do you do solve this question?
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14 • 60 = 840
Since Jake bikes 210 per minute, you would need to divide the total number of miles that Dan has traveled in 14 minutes (840 miles) by the amount of miles Jake can travel in one minute (210).
840 ÷ 210 = 4 minutes
Answer: 4 minutes
A water tower is used to store fire fighting water at an industrial plant. The tank on top of the tower is in the shape of a cylinder with a height of 15 feet and a diameter of 7 feet. One cubic foot is approximately 7.5 gallons. how many gallons are in the tank if its 55% full?
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(15π(3.5^2)ft^3)(55/100)(7.5gal/ft^3)≈2381.23 gal (to nearest hundredth of a gallon)
Which is colder 0°F or 6°F
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A quarterback completes 65% of his passes. Out of his next 40 passes, how many can you expect to be completed.
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"Exponents and Multiplication- Simplify. Your answer should only contain positive exponents." Please help quickly !!
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Jaidee made her trip to the train station and back. The trip there took two hours and the trip back took five hours. She averaged 30 mph faster on the trip there than on the return trip. What was Jaidee's average speed on the outbound trip?
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The trip back:
t 2 = 5 h, v 2 = d / t 2, v 2 = d / 5
Also: v 2 = v 1 - 30
d / 5 = d / 2 - 30
d / 2 - d / 5 = 30
0.3 d = 30
d = 30 : 0.3
d = 100 miles.
v 1 = 100 / 2 = 50 mph
We can prove it: v 2 = 50 - 30 = 20 mph
100 miles = 50 mph * 2 h = 20 mph * 5 h
Answer: Average speed on the ongoing trip was 50 mph.
Which of the sets of ordered pairs represents a function?
A = {(−5, 5), (−2, 2), (2, −2), (5, −5)}
B = {(4, 2), (3, −2), (9, 4), (11, −3)}
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if x repeats with a differnt y then it is not a function
A. none of them repeat, it's a function
B. none of them repeat, it's a function
both of them are functions
First right answer gets brain
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How to solve: (looking for b)
y =mx+b
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7.06) If the greatest value the variable m can be is less than 9, which of the following inequalities best shows all the possible values of m? m < 9 m > 9 m ≤ 9 m ≥ 9
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means m is less than 9
m<9
Hello,
The correct answer is A) m < 9
Hope this helps!!!! Happy Holidays!!!! (:
math question down below
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45/225= x/100
45/225 simplifies to 1/5.
1/5= x/100
5*20=100
1*20=20=x
Final answer: 20%
We know, that x% equals 225 of the output value, so we can write it down as x%=225.
Now we have two simple equations:
1) 100%=45
2) x%=225
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=45/225
Now we just have to solve the simple equation, and we will get the solution we are looking for.
Solution for 225 is what percent of 45
100%/x%=45/225
(100/x)*x=(45/225)*x - we multiply both sides of the equation by x
100=0.2*x - we divide both sides of the equation by (0.2) to get x
100/0.2=x
500=x
x=500
now we have:
225 is 500% of 45 That's your answer. Hope I helped!
plz help you have to turn your phone to the side
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[tex]P=2w+2l[/tex]
[tex]P=2(9)+2(x)[/tex]
[tex]P=18+2x[/tex]
A moving company charges $0.60 per pound for a move from New York to Florida. A family estimates that their belongings weigh about 4 tons. About how much would it cost the family to move from New York to Florida?
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1 ton = 2000 pounds
4* 2000 = 8000 pounds total
8000 * 0.60 = $4,800.00
it will cost $4,800 to move
Answer:
Step-by-step explanation:
1 ton = 2000 pounds
4* 2000 = 8000 pounds total
8000 * 0.60 = $4,800.00
it will cost $4,800 to move
Which expression will equal a rational product even though it is multiplying an irrational number times another irrational number?
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[tex]11/ \pi * \pi /7[/tex] where[tex]11/ \pi [/tex] and [tex] \pi /7[/tex] represent irrational numbers
Cancel [tex] \pi [/tex] out to get
11/7
[tex] \sqrt{2} * \sqrt{2}= \sqrt{4} =2=2/1[/tex] where[tex] \sqrt{2} [/tex] is known as irrational number. As a result, these are some examples of how an irrational number times another irrational number to get rational. Hope it help!
Answer:
Which expression will equal a rational product even though it is multiplying an irrational number times another irrational number?
A
the selling price of a house dropped from 250,000 to 210,000 over a period of five years. By what percentage didnthe sellling price decrease?
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The selling price of the house decreased by 16%.
Explanation:To find the percentage decrease in the selling price of the house, we need to calculate the difference between the initial selling price and the final selling price, and then divide that by the initial selling price. Finally, we multiply the result by 100 to get the percentage decrease.
Difference = Initial Selling Price - Final Selling Price = $250,000 - $210,000 = $40,000Percentage decrease = (Difference / Initial Selling Price) x 100 = ($40,000 / $250,000) x 100 = 16%Therefore, the selling price of the house decreased by 16%.
The selling price of the house decreased by 16%.
Explanation:To find the percentage decrease in the selling price of the house, we can use the following formula:
Percentage decrease = ((Initial price - Final price) / Initial price) x 100
In this case, the initial price is $250,000 and the final price is $210,000. Plugging these values into the formula, we get:
((250,000 - 210,000) / 250,000) x 100 = (40,000 / 250,000) x 100 = 0.16 x 100 = 16%
Therefore, the selling price of the house decreased by 16%.
Carmen buys 153 shares of Cawh Consolidated Banks, each of which pays a constant yearly dividend of $7.14. After six years, how much has Carmen received in dividends?
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so every year she gets $1092.42
so times that by 6 and the answer is $6554.52
Answer: $6554.52
Step-by-step explanation:
Total number of shares bought by Carmen =153
A constant yearly dividend paid by each share=$7.14
Thus, 153 shares pays yearly dividend =[tex]153\times7.14=\$1092.42[/tex]
After 6 years, total dividend received by Carmen=[tex]6\times1092.42=\$6,554.52[/tex]
Hence, The total dividend received by Carmen in 6 years = $6554.52