Answer:
x=50
Step-by-step explanation:
60+70=130
180-130=50
according to vertical angles x equals 50 degrees
Assignment Goal:
Describe the motion of a rocket using a quadratic model.
Instructions:
Respond to each of the questions. Your solutions must document all of your work.
Scenario: A toy rocket is launched straight upward from a pad 10 ft above ground level with an initial velocity of 80 ft/sec.
Use the general formula for the vertical position (height) of an object moving under the influence of gravity s=-1/2 gt^2+ v_0 t+ s_0 where s0 is initial vertical position, v0 is initial velocity, and s is vertical position of the object.
1. Define a model (equation) to express the vertical position (height) of the rocket s (in meters) above ground level t seconds after launch. Let g = 32 ft/sec2.
Answer:
Your question is a little unclear if it wants meters or feet because it has everything listed in nicely feet then you say "(in meters)" at the bottom.
If it wants feet, the answer is
[tex]s=-16t^2+80t+10[/tex]
If it wants meters, the answer is
[tex]s=-4.8768t^2+24.384t+3.048[/tex]
Step-by-step explanation:
To solve, use the quadratic equation.
[tex]y=ax^2+bx+c[/tex]
It wants the x-axis to represent time (t) and the y-axis to represent position (s)
[tex]s=at^2+bt+c[/tex]
It gives us a formula that tells us what a, b, and c equal.
[tex]s=(-1/2)gt^2+v_0t+s_0[/tex] where g is gravity, v_0 is the initial velocity, and s_0 is the initial starting position.
From here, it is just a plug and chug to get the final answer.
[tex]s=(-1/2)(32)t^2+80t+10\\s=-16t^2+80t+10[/tex]
If it wants everything in meters, just convert feet to meters at every step. You can search to find that 1 meter=3.28084 feet.
Find m<1
(Picture included)
Answer:
m<1 =30
Step-by-step explanation:
[tex] < 1 + 117 + 33 = 180 \\ < 1 + 150 = 180 \\ < 1 = 180 - 150 \\ < 1= 30[/tex]
What is the equation for the line in slope-intercept form?
Enter your answer in the box.
Plz help I need help
Multiply 3 by 25% of 40.
[tex]3 \times 25\% \times 40 = 3 \times \dfrac{25}{100} \times 40 = 3 \times 10 =30[/tex]
The value of the numerical expression 3 × 25% × 40 will be 30.
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.
The expression is given below.
⇒ 3 × 25% × 40
Simplify the expression, then the value of the expression will be given as,
⇒ 3 × 25% × 40
⇒ 3 × 0.25 × 40
⇒ 30
The value of the numerical expression 3 × 25% × 40 will be 30.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
Let
f
and
g
be defined by
f
:
x
→
3
x
−
1
)
a
n
d
\(
g
:
x
→
2
−
5
x
. Find
f
o
g
(
2
)
Answer:
Solution
verified
Verified by Toppr
f,g:R→R is defined as
f(x)=x+1
g(x)=2x−3
Now, (f+g)(x)=f(x)+g(x)=(x+1)+(2x−3)=3x−2
∴(f+g)(x)=3x−2
Now, (f−g)(x)=f(x)−g(x)=(x+1)−(2x−3)=x+1−2x+3=−x+4
∴(f−g)(x)=−x+4
(
g
f
)(x)=
g(x)
f(x)
,g(x)
=0,x∈R
∴(
g
f
)(x)=
2x−3
x+1
,2x−3
=0 or 2x
=3
∴(
g
f
)(x)=
2x−3
x+1
,x
=
2
3
Write a recursive formula for a_n the n^th term of the sequence 36, 6, 1, ....
a_1=
a_n=
Answer:
you plus them together then you get 42 out of your number you close during / N which is 3 to get your final answer thank
3/8 + 1/8 + 2/3 - 1/2 =
Answer: 2/3 (answer in decimal form = 0.6)
Step-by-step explanation: The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly. Then do the rest of the operations.
Put the following numbers in order on the number line below.
1/2
1 1/2
3/5
1/4
1 3/4
1 1/4
7/8
Answer:
1/4
1/2
3/5
7/8
11/4
13/4
11/2
Help help help math please help help
Answer:
x=11
Step-by-step explanation:
We know that angles on a straight line equal 180 degrees, so we know that 8x+10+7x+5 = 180.
Simplify
15x+15=180
Solve
Take away 15 from both sides
15x = 165
Divide 165 by 15
x = 11
Find the number that makes the ratio equivalent to 1:8.
9:
Answer:
Step-by-step explanation:
no i will nt help u cheat on your test
PLEASE HELP 100 POINTS
Answer:
I think its x = 8
Step-by-step explanation:
There are 8 white long rectangles so I would think x = 8
but there are 9 little white squares so it could be 8 + 9 but
Answer:
x= 6/7
Step-by-step explanation:
becuase 7x -3x -2 + 1 = 8-3-3x + x
is simplified to 5x -1 = 5-2x
+2 on both sides
7x-1 =5
+ 1 on both sides
7x=6
divde both by 7
x= 6/7
Simplify as far as possible without using a calculator.
If the legs of each triangular base are 5 cm and 3 cm and the height of the prism is 4 cm, what
are the coordinates of the vertices of the prism?
The coordinates of the six vertices of the prism are listed below:
[tex](x_{1},y_{1}, z_{1}) = (0, 0, 0)\,[ft][/tex] [tex](x_{2}, y_{2}, z_{2}) = (0, 0, 5)\,[ft][/tex] [tex](x_{3}, y_{3}, z_{3}) = (3, 0, 0)\,[ft][/tex] [tex](x_{4}, y_{4}, z_{4}) = (0, 4, 5)\,[ft][/tex] [tex](x_{5}, y_{5}, z_{5}) = (0, 4, 0)\,[ft][/tex][tex](x_{6}, y_{6}, z_{6}) = (3, 4, 0)\,[ft][/tex]The number of vertices of a prism with a polygonal base ([tex]n[/tex]) is described by the following expression:
[tex]n = 2\cdot s[/tex] (1)
Where [tex]s[/tex] is the number of sides of the base.
If we know that [tex]s = 3[/tex], then the number of vertices of the prism are:
[tex]n = 2\cdot 3[/tex]
[tex]n = 6[/tex]
A prism with triangular base has six vertices, let suppose that the triangle of the base is right-angled. and coincides with a right-hand rectangular coordinate system. Then, we can conclude that the coordinates of the six vertices are the following:
[tex](x_{1},y_{1}, z_{1}) = (0, 0, 0)\,[ft][/tex] [tex](x_{2}, y_{2}, z_{2}) = (0, 0, 5)\,[ft][/tex] [tex](x_{3}, y_{3}, z_{3}) = (3, 0, 0)\,[ft][/tex] [tex](x_{4}, y_{4}, z_{4}) = (0, 4, 5)\,[ft][/tex] [tex](x_{5}, y_{5}, z_{5}) = (0, 4, 0)\,[ft][/tex][tex](x_{6}, y_{6}, z_{6}) = (3, 4, 0)\,[ft][/tex]We kindly invite to check this question on prisms: https://brainly.com/question/8828506
25+30=15x+10x
solve for X
Answer:
X=11/5
Step-by-step explanation:
Hope your cheating is nice
Answer:
[tex]x=\cfrac{11}{5}[/tex]
Step-by-step explanation:
[tex]25+30=15x+10x\\15x+10x=25+30\\25x=25+30\\25x=55\\\cfrac{25x}{25}=\cfrac{55}{25}\\x=\cfrac{11}{5}[/tex]
a man walks for 45 minutes at a rate of 3 mi/h then jogs for 75 minutes at a rate of 5 mi/h then rests for 30 minutes and finally walks for 90 minutes at a rate of 3 mi/h. Write a piecewise-defined function expressing the distance he traveled as a function of time.
Answer:
Sorry need points
Step-by-step explanation:
What is the product?
(Y^2+3Y+7)(8y^2+y+1
Answer:
8y⁴+25y³+60y²+10y+7
Step-by-step explanation:
8y⁴+y³+y²+24y³+3y²+3y+56y²+7y+7
8y⁴+25y³+60y²+10y+7
Answer:
8y^4+25y^3+60y^2+10y+7
Step-by-step explanation:
(y^2+3y+7)(8y^2+y+1)
We are going to multiply the first term, y^2, by the whole second part (8y^2+y+1)
8y^4+y^3+y^2
now we multiply the 2nd term, 3y, by the whole second part (8y^2+y+1))
24y^3+3y^2+3y
now we do the same to the last term, 7.
56y^2+7y+7
now we need to add all three of our products together
(8y^4+y^3+y^2)+(24y^3+3y^2+3y)+(56y^2+7y+7)
adding like terms:
8y^4+y^3+24y^3+y^2+3y^2+56y^2+3y+7y+7
we get:
8y^4+25y^3+60y^2+10y+7
Productivity gains are an important factor in the expenditure model because
A. companies can “squeeze” workers more than normal
B. it shifts the AD curve to the left
C. the investments made are cheaper and allows companies to
D. it shifts the AS curve to the right
Answer:
A
Step-by-step explanation:
companies can squeeze workers more than normal
what is the answer for number 2?
Answer:
7/3
Step-by-step explanation:
integral of equation is x^3/3-6x^2/2+5x/1
the answer will be
7^3/3-3*7^2+5*7-0= 343/3-147+35= 7/3
I need help with the question
Answer:
[tex]A = 25\pi[/tex] or 25 × 3.14 = 78.5m
Step-by-step explanation:
The radius is half of the diameter. So the radius = 5m (10/2)
[tex]A = \pi r^{2}[/tex]
[tex]A = \pi (5^{2} )[/tex]
[tex]A = 25\pi[/tex]
If the terminal side of angle θ passes through a point on the unit circle in the first quadrant where y=2√2, what is the exact measure of θ? Give your answer in radians.
Answer:
Please double check the question
y = 2√2 is not on the unit circle
The exact measure of the angle is 45°. If the terminal side of angle θ passes through a point on the unit circle in the first quadrant where y=2√2,
How to get the angle?A Unit circle is defined as a circle having a radius of 1 unit and having its center at the origin.
We know that the terminal side passes through a point of the form (√2/2, y).
Notice that the point is on the unit circle, so its module must be equal to 1, so we can write:
[tex]1=\sqrt{(\dfrac{\sqrt{2}}{2})^2+y^2}[/tex]
[tex]1^2=\dfrac{2}{4}+y^2[/tex]
[tex]1-\dfrac{1}{2}=y^2[/tex]
[tex]Y=\dfrac{1}{\sqrt{2}}[/tex]
We know that y is positive because the point is on the first quadrant.
Now, we know that our point is:
(√2/2, 1/√2)
And we can rewrite:
√2/2 = 1/√2
So the point is:
( 1/√2, 1/√2)
Finally, remember that a point (x, y), the angle that represents it is given by:
θ = Atan(y/x).
Then in this case, we have:
θ = Atan(1/√2/1/√2) = Atan(1) = 45°
If you want to learn more about angles, you can read:
brainly.com/question/17972372
At State College last term, 63 of the students in a Physics course earned As, 85
earned Bs, 123 got Cs, 84 were issued Ds, and 64 failed the course. If this grade
distribution was graphed on a pie chart, how many degrees would be used to indicate
the B region?
Answer:
a
Step-by-step explanation:
At registration for the first semester, the 1,500 students at Abraham Lincoln High School selected the primary mode of
transportation each planned to use to get to school during the semester. The circle graph below shows the distribution of
students who selected the various modes of transportation
Modes of Transportation Selected by
Abraham Lincoln High School Students
driving
for or riding
in a student-
driven car pool
25%
driving alone
30%
riding
with parent
10%
walking
10%
riding in a
school bus
Gina wants to duplicate this circle graph. Which of the following is closest to the measure of the central angle of the
"walking" sector?
Using proportions, it is found that the central angle of the walking sector is of 36º.
This question can be solved by proportions, using a rule of three.The angle corresponding to 100% = 1 is of 360º, while we want to find the angle corresponding to the walking sector, which is of 10% of the circle.Hence, the rule of three is:
1 - 360º
0.1 - x
Applying cross multiplication:
[tex]x = 360(0.1) = 36[/tex]
The central angle of the walking sector is of 36º.
A similar problem is given at https://brainly.com/question/24372153
thanks i'll mark brainliest
Answer:
m <5=91 is the correct response to this question
A standard elevator in a midrise building can hold a maximum weight of about 1 3/4 tons. Assuming an average adult weight of 124 pounds, what is the maximum number of adults who can safely ride the elevator?
Answer: 28 adults
Step-by-step explanation: 1 3/4 tons is 3500 pounds which I divided by 124 pounds which gave me the answer 28
Kylie has lemon and watermelon in a ratio of 10:71. How many watermelon does she have if she has 20 lemons
Answer:
142 watermelon
Step-by-step explanation:
10/71 = 20 / w
w = 20(71/10) = 142
Domain:
Range:
HELP RQ
Albert is 5 years 6 months. How old is Albert in months
Answer:
5x12=60,+6=66
Step-by-step explanation:
Answer:
66 months
Step-by-step explanation:
12months x 5= 60
60 + 6= 66
please help to find an explicit formula for calculating the sum Mn
The explicit formula for calculating the sum is
[tex]S_N=\frac{n(n-1)}{2} \cdot\frac{n(n+1)}{2}[/tex]
The sum of the nth term of a sequence is expressed as;
[tex]S_n=\frac{n}{2}(2a+(n-1)d)[/tex]
a is the first term
d is the common difference
n is the number of terms
For the sequence 0 + 1 + 2 + 3 +...
[tex]S_n=\frac{n}{2}(2(0)+(n-1)1)\\S_n= \frac{n}{2}(n-1)\\S_n= \frac{n(n-1)}{2}[/tex]
Similarly for the sequence:
1 + 2+ 3 + 4+...
[tex]S_n=\frac{n}{2}(2(1)+(n-1)1)\\S_n= \frac{n}{2}(2+n-1)\\S_n= \frac{n(n+1)}{2}[/tex]
Taking the product of the sum to get the explicit formula for calculating the sum
[tex]S_N=\frac{n(n-1)}{2} \cdot\frac{n(n+1)}{2}[/tex]
Learn more here: https://brainly.com/question/24547297
Write as a fraction
3÷151
Answer:
3/151
Step-by-step explanation:
That's the answer