A toy rocket is launched from the ground, the equation
h= -16t^2+ 80t, models the height of the rocket h in feet at any timet
in seconds.
For which interval of time will the rocket be higher than 64 feet off the
ground?
Answers
Answer:
Step-by-step explanation:
We can graph the function and determine the points where the y value line is greater than 64 feet. We could also solve the equation for h = 64.
Graphing:
A graph is attached. The intersections of the line at height = 64 feet are at (1,64) and (4,64). The first is going up and the second coming down. The period of time the rocket is above 64 feet is from 1 to 4 seconds.
Solving:
h= -16t^2+ 80t
64 = -16t^2+ 80t
-16t^2+ 80t - 64 = 0
Solve using the quadratic formula:
We get two answers: 1 and 4 (seconds)
Related Questions
PLS HELP WILL MARK BRANLIEST ! NO FAKE ANSWERS!!!
Answers
Answer:
You can solve this with long division:
Answer:
Area = 2x²+3x+4Step-by-step explanation:
Volume :
V= abh
Area:
S=ab or V:h
In our case :
[tex]abh=(2x^3+7x^2+10x+8 ) \\\\ h=x+2[/tex]
Let's use Synthetic division:
[tex]\large \boldsymbol{}x+2=0 \to x=-2 \\\\ \underline{\begin{array}{c|c|c|c|c|} \bf \stackrel{x+2}{-2} \ & \stackrel{x^3}{2} \ & \stackrel{x^2}{7} \ & \stackrel{x}{10} \ & { \stackrel{1}{8} \ }\end{array}}[/tex]
[tex]\large \boldsymbol{} \underline{\begin{array}{c|c|c|c|c|c|} \ & \ \ \ & \ \ \ & -4 & -6 & -8\end{array}}[/tex]
[tex]\large \boldsymbol{} \underline{\begin{array}{c|c|c|c|c|c|} \ & \ \ \ & \ \ \ & \ \ \bf3 \ & \ \ \bf4 \ & \bf 0 \ \end{array}}[/tex]
Then :
[tex]\large \boldsymbol{}(2x^3+7x^2+10x+8) :(x+2)= \\\\(2x^2+3x+4)(x+2):(x+2)=\boxed{2x^2+3x+4}[/tex]
Area = V:h ⇒ 2x²+3x+4Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers.
Brad and Laura are playing a board game. In the game, a player rolls two standard number cubes to move his or her game piece along
a path on the board. On the first three turns in the game, both number cubes land on six each turn.
The theoretical probability of rolling a six on both number cubes three times in a row is 1/?
(are/ are not)
Based on the probability of rolling a six on both number cubes three times in a row, Brad and Laura
likely using unfair number cubes.
Answers
Answer:
1/46,656 and Brad and Laura ARE like using unfair number cubes.
Step-by-step explanation:
I don't understand what I am supposed to do after I combine terms
Answers
I think you have to put all the fractions on one side of the equation and the x-terms on the other side. But I don't see an option for that...
Answer:
x = - [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
[tex]\frac{2}{3}[/tex] - 4x + [tex]\frac{7}{2}[/tex] = - 9x + [tex]\frac{5}{6}[/tex]
Multiply through by 6 ( the LCM of 3, 2 and 6 ) to clear the fractions
4 - 24x + 21 = - 54x + 5 , that is
25 - 24x = - 54x + 5 ( add 54x to both sides )
25 + 30x = 5 ( subtract 25 from both sides )
30x = - 20 ( divide both sides by 30 )
x = [tex]\frac{-20}{30}[/tex] = - [tex]\frac{2}{3}[/tex]
I’ll give brainliest, thanks and 5 stars.
Answers
Answer:
First, you can break 6 into 3 * 2.
[tex]\frac{6^4*15^3}{3^3*2^4} =\frac{3^4*2^4*15^3}{3^3*2^4}[/tex]
Then, cancel out the common factor of [tex]3^3[/tex]:
[tex]\frac{3^4*2^4*15^3}{3^3*2^4} =\frac{3*2^4*15^3}{2^4}[/tex]
Next, cancel out the common factor of [tex]2^4[/tex].
[tex]\frac{3*2^4*15^3}{2^4} =3*15^3[/tex]
You can evaluate it as 10125 if you'd like.
If A=(1 2 3), find 2 A?
Answers
Answer:
Remove parentheses
Step-by-step explanation:
A= 123
Select all of the equations below that are equivalent to:
m + 17 = 18
Use properties of equality.
m + 7 = 18 - 12
m + 6 = 18 - 10
m + 17 - 2 = 17
m + 13 = 18 - 4
Submit
Work it out
Answers
The equivalent expression will be;
⇒ m + 13 = 18 - 4
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ m + 17 = 18
Now,
Since, The expression is,
⇒ m + 17 = 18
Solve for m as;
⇒ m + 17 - 17 = 18 - 17
⇒ m = 1
For option (i);
The expression is,
⇒ m + 7 = 18 - 12
⇒ m + 7 = 6
⇒ m = - 1
For option (ii);
The expression is,
⇒ m + 6 = 18 - 10
⇒ m + 6 = 8
⇒ m = 2
For option (iii);
The expression is,
⇒ m + 17 - 2 = 17
⇒ m + 15 = 17
⇒ m = 2
For option (iv);
The expression is,
⇒ m + 13 = 18 - 4
⇒ m + 13 = 14
⇒ m = 1
Thus, The equivalent expression is,
⇒ m + 13 = 18 - 4
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The equivalent expression of m + 17 = 18 is determined as m + 13 = 18 - 4 (Option D).
What is equivalent expression?An equivalent expression refers to a mathematical or algebraic expression that has the same value or meaning as another expression, despite potentially having a different appearance or form.
The equivalent expression is calculated as
m + 17 = 18
Solve for m as;
m + 17 - 17 = 18 - 17
m = 1
So we are going to solve all the equations and the one that has the value of m equal to 1 is the equivalent expression.
Solving for option (1)
m + 7 = 18 - 12
m = -1
Solving for option (4)
m + 13 = 18 - 4
m + 13 = 14
m = 1
Thus, the equivalent expression is m + 13 = 18 - 4
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Mr. Doyle mowed 2\5ths of his lawn. His son mowed 1\3rd of it. Who mowed most of the lawn? How much of the lawn still needs to be mowed?How much does Mr. Doyle have left to mow?
Answers
Answer:
Step-by-step explanation:
Dad: 2/5
Son: 1/3
Who mowed most of the lawn? Dad, of course. 2/5 is larger than 1/3. 2/5 is 40% and 1/3 is 33.333%
How much of the lawn still needs to be mowed?
2/5 + 1/3 + X = 1 [1 means the whole lawn. X is the remaining portion.]
6/15 + 5/15 + X = 1 [Convert each fraction so that they have a com,mon denominator. This also shows that 2/5 (6/15) is larger than 1/3 (5/15).
11/15 + X = 1
X = 1 - 11/15
X = 4/15 left to be mowed.
How much does Mr. Doyle have left to mow?
We'll assume each rate is the same, 2/5 for Dad and 1/3 for son.
4/15 left to be mowed.
Dad will mow 2/5 of 4/15, so (2/5)*(4/15) = 8/75 left of the original yard
Son will mow 1/3 of 4/15, so (1/3)*(4/15) = 4/45 left of the original yard
Mr. Doyle mowed faster than his son. The amount of lawn still needs to be mowed will be 4/15. Mr. Doyle has left to mow and will be 8/75.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Mr. Doyle mowed 2/5 of his lawn. His son mowed 1/3 of it.
Convert the fraction into a decimal number. Then we have
2/5 = 0.40
1/3 = 0.33
Mr. Doyle mowed faster than his son.
The amount of the lawn still needs to be mowed will be given as,
⇒ 1 - 2/5 - 1/3
⇒ (15 - 6 - 5) / 15
⇒ 4 / 15
The amount of lawn still needs to be mowed will be 4/15.
Mr. Doyle has left to mow and will be given as,
⇒ (4 / 15) x (2 / 5)
⇒ 8 / 75
Mr. Doyle has left to mow and will be 8/75.
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Does this table represent a function or not? Why or why not?
Answers
Answer:
D. No, because two of the y-values are the same
Step-by-step explanation:
The y values cannot be the same
Answer:C
Step-by-step explanation:
6m squared+ 7n= what?
Answers
Answer:
(6+7)
Step-by-step explanation:
+{-x2y+[-(x2y-2xy2+y2)+(-xy2-3y2+x2y)]-(10y2-x2y)}
Answers
Answer:
3xy² - 14y²
Step-by-step explanation:
I hope that this is the problem
- x²y + [ - (x²y - 2xy² + y²) + (xy² - 3y² + x²y)] - (10y² - x²y)
= - x²y + [ - x²y + 2xy² - y² + xy² - 3y² + x²y] - 10y² + x²y
Now combine like terms in the [ ].
= - x²y + [ -x²y + x²y + 2xy² + xy² - y² - 3y² ] - 10y² + x²y
= - x²y + [ 0 + 3xy² - 4y²] - 10y² + x²y
= - x²y + 3xy² - 4y² -10y² + x²y Now combine like terms
= (-x²y + x²y) + 3xy² + (-4y² - 10y²)
= 0 + 3xy² - 14y²
= 3xy² - 14y² or y²(3x - 14)
-4(5+20)=16. S+20=-4. S=
Answers
Answer:
s = -24
Step-by-step explanation:
-4(-24 + 20) = 16 TRUE
-24 + 20 = -4 TRUE
(Are there any options for the missing description bit? I'm a little confused what needs to be answered there)
Ajoba and Prav drive to work. Ajoba drives 45 miles in 2.5 hours. Prav drives 74 km in 1 hour 15 min. Work out the difference between their average speeds in km/h. 1 mile = 1.6 km
Answers
Answer:
30.4 km/h
Step-by-step explanation:
Ajoba: 45 miles = 72 km ; 2.5 hours
Prav: 74 km ; 1 hour 15 min = [tex]\frac{5}{4}[/tex] hours
Ajoba's average speed: 72 ÷ 2.5 = 28.8 km/h
Prav's average speed: 74 ÷ [tex]\frac{5}{4}[/tex] = 59.2 km/h
Difference: 59.2 - 28.8 = 30.4 km/h
the ratio of men to women at Wal-Mart was 3 to 5. If there were 350 women, How many men were in the store?
Answers
Answer:550
Step-by-step explanation:
Answer:
550
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it takes 3 brick layers 2 hours to build a wall how long would it take 4 brick layers
please show steps in ratio
Answers
Answer:
Ratios are basically proportions so in this scenario
We can make it…
brick layers : hours
We’re given the first one which is
3:2
Whilst the one we need to find is only given for brick
For the unknown hours we can make it “x”
4: x
Now we have 2 ratios
3:2
4:x
Now these are fractions and we can make them equal to each other by
3/2 = 4/x
Now cross multiply to solve for x
3x=8
2 2/3 = x
So 2 2/3 hours
Barbara wants to buy muffins. Which is the best deal? O a. 9 muffins for $7.92 O b. 4 muffins for $3.60 O c. 6 muffins for $5.34 O d. 8 muffins for $7.60 N
Answers
Answer:
D
Step-by-step explanation:
Hope it can help you lovelots
#LEARN WITH BRAINLY
Two trains, Train A and Train B, weigh a total of 436 tons. Train A is heavier than Train B. The difference of their weights is 242 tons. What is the weight of each train?
Answers
Answer:
Train A: 238 Train B: 194
Step-by-step explanation:
436-242=194-436=-238
Flip the sign for 238 and you get your answer.
(This might not be correct)
help help help plssss
Answers
Answer:
6.5
Step-by-step explanation:
bc I just no plus or it's 5
Marty simplified the expression 2(x - 2) - 2(3) as 2x-8. Is he correct? Explain why or why not.
Answers
Answer: No
Step-by-step explanation:
It should be 2x-4 (2*×=2x and 2*2=4)
No, the simplified expression is not correct.
What is simplification?Simply put, to simplify is to make something simpler. Simplifying an equation, fraction, or issue in mathematics entails taking something complex and making it simpler. The issue is made simpler by calculations and problem-solving strategies. We can simplify fractions by removing all common elements from the numerator and denominator and putting the fraction in its simplest/lowest form.
Given expression
2(x - 2) - 2(3)
so 2(x - 2) = 2x - 2(2)
= 2x - 4
and 2(3) = 6
substitute the value
2(x - 2) - 2(3) = 2x - 4 - 6
= 2x - 10
and equation of Marty is 2x - 8
Hence the equation of marty is incorrect.
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4√3⋅10√12⋅√6⋅√2?
plz help!!! for algebra.
Answers
Answer:
480[tex]\sqrt{3}[/tex]
Step-by-step explanation:
4[tex]\sqrt{3}[/tex] · 10[tex]\sqrt{4}[/tex][tex]\sqrt{3}[/tex] · [tex]\sqrt{3}[/tex][tex]\sqrt{2}[/tex] · [tex]\sqrt{2}[/tex] = 4 · 10[tex]\sqrt{4}[/tex][tex]\sqrt{3}[/tex][tex]\sqrt{3}[/tex][tex]\sqrt{3}[/tex][tex]\sqrt{2}[/tex][tex]\sqrt{2}[/tex]
= 40 · 2 · 3 · 2 · [tex]\sqrt{3}[/tex]
= 480[tex]\sqrt{3}[/tex]
Find the equation of the linear function represented by the table below in slope-intercept form.
x 0 1 2 3 4
y -8 0 8 16 24
Answers
Answer:
y = 8x - 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 8) and (x₂, y₂ ) = (2, 8) ← 2 ordered pairs from the table
m = [tex]\frac{8-(-8)}{2-0}[/tex] = [tex]\frac{8+8}{2}[/tex] = [tex]\frac{16}{2}[/tex] = 8
The line crosses the y- axis at (0, - 8 ) ⇒ c = - 8
y = 8x - 8
please help!!
solve for x
Answers
Answer:
4
Step-by-step explanation:
These both angles are vertically opposite angles. And, vertically opposite angles are equal. So,
→ 5x ― 6 = 3x + 2
→ 5x ― 3x = 2 + 6
→ 2x = 8
→ x = 8/2
→ x = 4
Therefore, the value of x is 4.
peter and pam are both avid swimmers
Answers
Answer: that they are
Step-by-step explanation:
Salut comment ça va? This is french.
Answers
translation: hello, i am very well, thank you. how are you?
The floor of a gazebo is in the shape of a regular octagon. The perimeter of the floor is 72 feet. The distance from the center of the octagon to one of the vertices is 11. 8 feet. What is the approximate length of the apothem? feet What is the approximate area of the floor of the gazebo? square feet.
Answers
Answer:he correct answers are 10.9 feet and 392.4 square feet.
Step-by-Step explanation:
Answer:
Apothem is 10.9 feet
Area of the gazebo is 392.4 feet
Step-by-step explanation:
Edge
I need help with my Geometry. Can you help?
Thanks.
Answers
Answer:
1. 32 units
2. C(-15, -4) and D(17, -4)
Step-by-step explanation:
1.The midpoint divides CD into two segments that are the same length:
CM = MD
8(x -2) = 4(5x -16)
8x -16 = 20x -64 . . . eliminate parentheses
48 = 12x . . . . . . . . . add 64 -8x
x = 4 . . . . . . . . . . . divide by 12
Then the length of CD is ...
CD = 2·CM = 2(8(x -2)) = 2(8(4-2))
CD = 32
__
2.If we put C and D on the same horizontal line as M, their coordinates are ...
C = M -(16, 0) = (1,-4) -(16, 0) = (-15, -4)
D = M +(16, 0) = (1, -4) +(16, 0) = (17, -4)
Coordinates C and D that have M(1, -4) as a midpoint are ...
C(-15, -4) and D(17, -4).
There is a proportional relationship between minutes and dollars per minute, shown on a graph of printing expenses. The graph passes through the point (1, 3.40). What is the slope of the graph? What is the unit rate? Complete the explanation.
Answers
Answer:
Below!
Step-by-step explanation:
The slope is 1. The unit rate is $4.75/min If the graph of a proportional relationship passes through the point (1 , R) then r equals the slope and the unit rate. $4.75 per min.
The slope of the graph resembles the unit rate.
The unit rate is the amount it cost per minute.
The graph passes through the point (1, 3.40), which means it is at x = 1, the rate is $4.75.
Justin wants to buy a new bicycle, which costs $266.52. His parents have promised to contribute one-fourth of the cost of the bike. The rest will have to come out of Justin’s savings. What amount will Justin need to come up with to get the new bike? Round 2 places past the decimalI have no clue how to do financial math
Answers
Answer:
Step-by-step explanation:
Plz help don't understand
1 thru 4------Don't mind the other writing------
Answers
solve the equation: -5x+12=20
Answers
-5x + 12 = 20
-5x = 20 - 12
-5x = 8
x = -8/5
Please help! I really need to get the answer correct
Answers
Answer:
x + 9y²
Step-by-step explanation:
A prime polynomial is simply an irreducible polynomial.
x + 9y² is a prime polynomial
First, we test the options.
x + 9y²
The above function cannot be reduced further.
Hence, x + 9y² is a prime polynomial
3m + 9n
Factor out 3
3 (m + 3n)
3m + 9n is not a prime because it can be factored as 3 (m + 3n)
8x^7 - 9x + 12x²
Factor out x
x(8x^6 - 9 + 12x)
8x^7 - 9x + 12x² is not a prime because it can be factored as x(8x^6 - 9 + 12x)
Hence, x + 9y² is a prime polynomial