A toy rocket is launched from a platform 33 feet above the ground at a speed of 83 feet per second. The height of the rocket in feet is given by the polynomial −16t2 + 83t + 33, where t is the time in seconds. How high will the rocket be after 3 seconds?
a. 2586 feet
b. 234 feet
c. 138 feet
d. 105 feet
Answers
Answer:
c. 138 feet
Step-by-step explanation:
h(t) = −16t^2 + 83t + 33
At3 seconds
h(3) = -16(3^2) + 83(3) + 33
h(3) = -16(9) + 249 + 33
h(3) = -144 + 249 + 33
h(3) = 138
c. 138 feet
Related Questions
The graph of y = sine (x minus StartFraction 3 pi Over 2 EndFraction) is the graph of the y = sin(x) shifted in which direction?
StartFraction 3 pi Over 2 EndFraction units to the left
StartFraction 3 pi Over 2 EndFraction units to the right
StartFraction 3 pi Over 2 EndFraction units up
StartFraction 3 pi Over 2 EndFraction units down
Answers
Answer: shifted by 3*pi/2 units to the right.
Step-by-step explanation:
Here we have:
y = sin(x - 3*pi/2)
now, you need to remember this:
if we have y = f(x)
then y' = f(x - A) is the graph of y, shifted A units to the right (where A is a positive number).
If A is negative, the shift is to the left.
Then in this case, we have:
sin(x) -----> sin( x - 3*pi/2)
A = 3*pi/2
Then we have the graph shifted by 3*pi/2 units to the right.
Answer:
C. 3pi/2 units to the right
Step-by-step explanation:
(I got it right on edge)
Find the volume of the cone. Round your answer to the nearest tenth
height is 22 meters and the radius is 11 meters
Answers
2787.64 is the volume..
Two trains start from towns 540 mi apart and travel towards each other on parallel track. They pass each other 4.5 hr later. If one train travels 20 mph faster than the other, find the rate of each train
Answers
We can use the formula d = rt to solve for the speed of each train.
540 mi = (x)(4.5 hr)
540 mi = (x + 20)(4.5 hr)
Solving for x, we get x = 40 mph and x + 20 = 60 mph.
Therefore, the slower train is traveling at 40 mph and the faster train is traveling at 60 mph.
Determine the unknown side of the similar triangle
btw ik this isn't college math it was automatically set to it
Answers
The required measure of the unknown side in similar triangles is 4.
What are Similar triangles?Similar triangles are two triangles that have the same shape but are not necessarily the same size. More specifically, two triangles are similar if their corresponding angles are congruent (i.e., have the same measure), and the corresponding sides are proportional (i.e., have the same ratio).
Here,
Two similar triangles are given in the figure,
Let the unknown side be x
For a similar triangle, the ratio of the corresponding sides are equal So,
a / 8 = 6 / 12
a = 8/2
a = 4
Thus, the required measure of the unknown side in similar triangles is 4.
Learn more about similar triangles here:
brainly.com/question/25882965
#SPJ9
HELP ASAP!! I will give brainlist! Thanks!
Answers
Answer:
C. Addition Property of Equality
Step-by-step explanation:
Given,
x - 6 = 4
To find x, the addition property of equality is applied by adding 6 to both sides.
Thus:
x - 6 + 6 = 4 + 6
x = 10
what is the property of 3x(5x7)=(3x5)7
Answers
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
what is the slope of a vertical line?
Answers
Answer:
undefined
Step-by-step explanation:
I messed up somewhere I think ugh
Answers
Answer:
¯\_(ツ)_/¯
Step-by-step explanation:
Answer:
Step-by-step explanation:
n≤-2
n≥-4
or -4≤n
combining
-4≤n≤-2
one of these is not equivalent to 1/4
2/8
10/40
12/48
5/24
20/80
Answers
Answer:
5/24
Step-by-step explanation:
which expressions are equivalent to 3^4/9/3^2/9? select all that apply
Answers
Answer:
first and third expressions
Step-by-step explanation:
using the rule of exponents
\(\frac{a^{m} }{a^{n} }\) = \(a^{m-n}\)
then
\(\frac{3^{\frac{4}{9} } }{3^{\frac{2}{9} } }\)
= \(3^{\frac{4}{9}-\frac{2}{9} }\) ← first expression
= \(3^{\frac{2}{9} }\) ← third expression
Can someone help me understand it.
Answers
The coordinate of point B is (√3, 1 ).
The coordinate of point C is (3√3/2, 3/2).
What are the coordinates of point B and C?The coordinate of points of B and C is calculated by applying the following formula as follows;
The given coordinate of point A;
A = ( √3/2, 1/2)
Fromm the given coordinate of point A, we can see that;
one unit measure in x axis = √3/2, with a correspond half (1/2) in y - axis
The coordinate of point B is calculated as;
point B; x-axis = (√3/2 x 2) = √3
point B; y axis = 1
B = (√3, 1 )
The coordinate of point C is calculated as;
point C; x-axis = (√3/2 x 3) = 3√3/2
point C; y axis = 3/2
C = (3√3/2, 3/2)
Learn more about coordinate of points here: https://brainly.com/question/17206319
#SPJ1
please help
-i have no clue what this is
options:
A. point in quadrant 1
B. infinite set of points on the line
C. point in quadrant 2
Answers
9514 1404 393
Answer:
B. infinite set of points on the line
Step-by-step explanation:
The lines are identical, so the set of points they have in common is an ...
infinite set of points on the line
Find an equation for the graph.
Answers
The equation for the trigonometric graph is y = 2sin4x
What is a trigonometric graph?A trigonometric graph is the graph of a trigonometric function.
Since we desire to find the equation of the graph, we then want to use the equation for the general sine graph.
y = AsinBx where
A = amplitude and B = 2π/T where T = period.Now, A = (maximum - minimum)/2
From the graph,
maximum = 2 and minimum = -2So, we now substitute the variables into the equation, thus
A = (maximum - minimum)/2
= [2 - (-2)]/2
= (2 + 2)/2
= 4/2
= 2
Also B = 2π/T
Now from the graph, T = π/2
So, we substitute for B in the equation for B, thus
B = 2π/T
= 2π/(π/2)
= 2π × 2/π
= 4
We then substitute A and B into y, thus
y = AsinBx
= 2sin4x
So, y = 2sin4x
Learn more about trigonometric graph here:
https://brainly.com/question/29718746
#SPJ1
In a class of 23 students, 9 play an instrument and 7 play a sport. There are 3
students who play an instrument and also play a sport. What is the
probability that a student does not play an instrument given that they play a
sport?
Answers
Answer:
4/7
Step-by-step explanation:
The probability that a student does not play an instrument given that they play a sport is 4/23.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
Total number of students = 23
From the Venn diagram,
Number of students who play sport but not an instrument = 4
The probability that a student does not play an instrument given that they play a sport.
= 4/23
Thus,
The probability is 4/23.
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ2
PLEASE HELP 50 points and brainliest write it out so i can copy it
Answers
m∠BEC = 29°
m∠ABC = 122°
Step-by-step explanation:
∠BEC + ∠ECB + ∠CBE = 180
x + 93 + 2x = 180
3x = 180 - 93
3x = 87
x = 87/3
x = 29
∠BEC = x = 29°
∠ABC + ∠CBE = 180°
∠ABC + 2x = 180
∠ABC + 2(29) = 180
∠ABC + 58 = 180
∠ABC = 180 - 58
∠ABC = 122°
Answer:
39 ° ; 102 °
Step-by-step explanation:
2x° + x° + 93° = 180°
3x + 93 = 180
3x = 87
x = 29
m∠BEC = 29 °
m∠EBC = (2 × 29)° = 58°
m∠ABC + m∠EBC = 180°
m∠ABC = 180° - 58° = 122 °
The graph shows the proportional relationship between time, in minutes, spent skateboarding and the number of calories burned.
Answers
The proportional relationship between time spent skateboarding and the number of calories burned will be y = 10x.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Let 'x' be the number of minutes and 'y' be the number of calories burned. And at x = 0, the value of y is also zero. Then we have
0 = m(0) + c
c = 0
Then the equation is given as,
y = mx
At x = 5, the value of y is 50. Then we have
50 = m(5)
5m = 50
m = 50 / 5
m = 10 calories per minute
The proportional relationship between time spent skateboarding and the number of calories burned will be y = 10x.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ1
The missing graph is attached below.
An inheritance of $33,000 will be divided between sisters Hannah and Taylor. If Hannah is to receive $3000 less than Taylor, how much does each sister receive?
Answers
Given the domain {-4, 0, 5}, what is the range for the relation 12x + 6y = 24?
A.
{-4, 4, 14}
B.
{2, 4, 9}
C.
{-12, -4, 6}
D.
{12, 4, -6}
Answers
Answer:
The range is {12, 4, -6} ⇒ D
Step-by-step explanation:
The range of the relation is the values of y corresponding to the values given for x which is the domain of the relation
∵ The relation is 12x + 6y = 24
∵ The domain of the function is {-4, 0, 5}
→ That means x = -4, 0, 5, we need to find their corresponding values of y
∴ Substitute the values of x in the relation
∵ x = -4
∴ 12(-4) + 6y = 24
∴ -48 + 6y = 24
→ Add 48 to both sides
∴ -48 + 48 + 6y = 24 + 48
∴ 6y = 72
→ Divide both sides by 6 to find y
∴ \(\frac{6y}{6}=\frac{72}{6}\)
∴ y = 12
∵ x = 0
∴ 12(0) + 6y = 24
∴ 0 + 6y = 24
∴ 6y = 24
→ Divide both sides by 6 to find y
∴ \(\frac{6y}{6}=\frac{24}{6}\)
∴ y = 4
∵ x = 5
∴ 12(5) + 6y = 24
∴ 60 + 6y = 24
→ Subtract 60 from both sides
∴ 60 - 60 + 6y = 24 - 60
∴ 6y = -36
→ Divide both sides by 6 to find y
∴ \(\frac{6y}{6}=\frac{-36}{6}\)
∴ y = -6
∵ The range is the values of y which corresponding to the domain
∴ The range is {12, 4, -6}
The answer is down below have a good day!!!
50 Points! Solve the equation or inequality. Please show as much work as possible. Photo attached. Thank you!
Answers
The equation 5ʷ ⁺ ³ = 17 when solved for w is approximately w = 0.41
Solving the equations or inequalities for wFrom the question, we have the following parameters that can be used in our computation:
5ʷ ⁺ ³ = 17
Take the logarithm of both sides of the equation
So, we have
w + 3 = ln(17)/ln(3)
Evaluate the quotient on the left side of the equation
This gives
w + 3 = 2.59
So, we have
-3 + w + 3 = 2.59 - 3
Evaluate
w = 0.41
Hence, the equation when solved for w is approximately w = 0.41
Read more about equation at
https://brainly.com/question/18831322
#SPJ1
Identify the algebraic rule that would translate a figure 3 units left and 2 units up.
Answers
The algebraic rule for translating the figure 3 units left and 2 units up is (x-3, y+2). Option B.
To translate a figure 3 units to the left and 2 units up, we need to adjust the coordinates of the figure accordingly. The algebraic rule that represents this translation can be determined by examining the changes in the x and y coordinates.
When we move a figure to the left, we subtract a certain value from the x coordinates. In this case, we want to move the figure 3 units to the left, so we subtract 3 from the x coordinates.
Similarly, when we move a figure up, we add a certain value to the y coordinates. In this case, we want to move the figure 2 units up, so we add 2 to the y coordinates.
Taking these changes into account, we can conclude that the algebraic rule for translating the figure 3 units left and 2 units up is (x-3, y+2). The x coordinates are shifted by subtracting 3, and the y coordinates are shifted by adding 2. SO Option B is correct.
For more question on algebraic visit:
https://brainly.com/question/30652385
#SPJ8
Please help I will give brainilest
Answers
Insert Parentheses to make the equality true. 1+2x3+4x5=29
Answers
Answer:
((1+2)x3) + (4x5) = 29
Step-by-step explanation:
Since 4x5 = 20 and 3x3 = 9, and 9 + 20 = 29, we put parenthesis around 1+2,
we get,
((1+2)x3) + (4x5) = 29
This is true because,
(3x3) + (4x5) = 29
(9) + (20) = 29
29 = 29
F(x)=5x-3 and g(x)=3x^2-5x, find (f•g)(x)
Answers
Answer: (f•g)(x) = 15x^2 - 28x - 3
Step-by-step explanation: (f•g)(x) = f(g(x))
First, we need to find g(x):
g(x) = 3x^2 - 5x
Now we can plug this into f(x) and simplify:
f(g(x)) = f(3x^2 - 5x)
= 5(3x^2 - 5x) - 3
= 15x^2 - 28x - 3
High school students from grades 9–10 and 11–12 were asked to choose the kind of band to have play at a school dance: rap, rock, or country.
Their choices were as follows:
Grades 9–10—Rap: 40; Rock: 30; Country: 55
Grades 11–12—Rap: 60; Rock: 25; Country: 35
Which of the following is a correct two-way frequency table for the data?
Answers
The correct two - way frequency table for the data on High School Students, and the kind of band they want to play at the school dance, is:
Rap Rock Country Total
Grades 9 - 10 40 30 55 125
Grades 11 - 12 60 25 35 120
Total 100 55 90 245
Option A is therefore correct.
How to construct a two-way frequency table ?In a two-way frequency table, there will be totals for both the rows and the columns.
The totals for the rows in this instance are:
Grade 9 - 10 totals :
= 40 + 30 + 55
= 125
Grade 11 - 12 :
= 60 + 25 + 35
= 120
The totals for the columns are:
Rap totals :
= 40 + 60
= 100
Rock :
= 30 + 25
= 55
Country :
= 55 + 35
= 90
Two-way frequency tables allow for us to be able to conclude on the event described by looking at totals from both the columns and the rows. This gives a clearly understanding on preferences and categories.
Find out more on two-way frequency tables at https://brainly.com/question/20744563
#SPJ1
Choose the most reasonable unit of measure.
3) Area of a baseball infield: 925
A) mm² B) km² C) m² D) cm²
4) Area of a lake: 4
A) mm² B) km² C) m² D) cm²
5) Area of a door: 20
A) yd² B) in.² C) ft² D) mi²
Answers
The most reasonable unit of measurement for 3) is option (C): \(m^2\), 4) is option (B): \(km^2\), 5) is \(in^2\).
3) The most reasonable unit for the measurement of the baseball field is \(m^2\) because the baseball field covers a large distance which is not accurately measured by small units \(cm^2\) or \(mm^2\) where it is not that big to be measured in large units like \(km^2\). So option C is the correct option.
4) The most reasonable unit for the measurement of a lake is \(km^2\) because lakes are generally very large water bodies that cover a large distance and are not accurately measured by small units like \(cm^2\) , \(mm^2\) , and \(m^2\). So option B is the correct option.
5) The most reasonable unit for the measurement of the area of a door is \(in^2\) because doors are relatively small compared to the other options and are often measured in square inches or square feet. So option B is the correct option.
Therefore the correct answers question-wise are:
3) \(m^2\)
4) \(km^2\)
5) \(in^2\)
Learn more about the unit of measurement at:
https://brainly.com/question/30644235
#SPJ1
If f(x) = x2 – 7x - 13 ; find the following.
find f(10)
Answers
10= x2 - 7x -13
10= -5x -13
-10 -10
5x = -23
Answer is X = -23/5 or -4.6
What is the simplest form of StartRoot 3,025 EndRoot?
16
55
52(112)
52+(112)
Answers
F
G
H
J
If the diameter of a circle is 16 cm and the
intercepted arc length is 6m, what is the
measure of the central angle in radians?
3
8
3
7T
3
T
3²7
Answers
The measure of the central angle is 0.75 radians
How to solve an equation?An equation is an expression that can be used to show the relationship between two or more numbers and variables using mathematical operators.
The area of a figure is the amount of space it occupies in its two dimensional state.
The length of an arc with an angle of Ф is given by:
Length of arc = (Ф/360) * (π * diameter)
The diameter is 16 cm and intercepted arc length is 6 cm, hence:
Length of arc = (Ф/360) * (π * diameter)
6 = (Ф/360) * (π * 16)
Ф = 42.97°
Ф = 42.97° * π/180 = 0.75 radian
The measure of the central angle is 0.75 radians
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
600% of what number is 5,580
Answers
Answer:
930
Step-by-step explanation:
600% of x = 5580
6x = 5580
x = 5580/6
x = 930
Contemporain management
Answers
Answer:
This term denotes the modern techniques to administrating people in business organizations, government bodies, or non-profit organizations. The "contemporary" indicate the relation to the present and up-to-date trends in the sphere of management. It means that the person who is involved in contemporary management should be aware of the recent variations of the management theory and implement the changes in their organizations. Modern managers should be resilient and adaptive so that they are ready to incorporate the newest developments in practice.
Step-by-step explanation:
Other than that I don't know what you are asking for.