Answer:
2.52
Step-by-step explanation:
5x + 15.5 = 28.1
subtract 15.5 from both sides
5x = 12.6
divide both sides by 5
x = 2.52
Answer:
x=2.52
Step-by-step explanation:
28.1 = 15.5 + 5x
(take 15.5 from both sides)
28.1-15.5=15.5-15.5+5x
12.6=5x
(Divide both sides by 5)
12.6/5=5x/5
2.52=x
NASA launches a test rocket with an initial velocity of 235 meters per second from an initial height of 15 meters above sea-level. Find a quadratic function that models the height of the rocket, in meters above sea-level, as a function of time t , in seconds after the launch. (HINT: 4.9 meters = 16 feet) Use your model to answer the following questions. Assuming that the rocket will splash down into the ocean, how many seconds after launch does splashdown occur? (round to the nearest tenth of one second) The rocket splashes down after seconds. What is the maximum height above sea-level attained by the rocket? (round to the nearest meter) The maximum height is meters above sea-level.
9514 1404 393
Answer:
48.0 seconds2833 metersStep-by-step explanation:
A graphing calculator shows the points of interest nicely.
The rocket splashes down after 48.0 seconds.
The maximum height is 2833 meters above sea level.
__
The equation for the motion is ...
h(t) = -4.9t^2 +235t +15 . . . . launch at 235 m/s from height of 15 m
The vertex (maximum height) is found at ...
t = -(235)/(2(-4.9)) = 235/9.8 ≈ 23.980 . . . seconds
Then the maximum height is ...
h(23.980) = (-4.9(23.980) +235)(23.980) +15 ≈ 2833 . . . meters
The value of t when h(t) = 0 can be found using the quadratic formula.
t = (-235 -√(235² -4(-4.9)(15)))/(2(-4.9)) = (-235 -√55519)/-9.8
t ≈ 48.023 ≈ 48.0 . . . seconds
Please answer number 9 I’ll give brainliest thank you!
Answer:
C (95 people)
Step-by-step explanation:
380 is basically like 100% so 380÷100= 3.8 (which is equal to 1%), then use a calculator to do 3.8x25=95 (this makes 25%)
Answer:
C.95
Step-by-step explanation:
25/100=0.25
380*0.25=95
how many degrees is a acute angle
Any angle that measures less than 90 degrees
PLEASE HURRYYYYYYYYY
Answer:
12r ft
Step-by-step explanation:
you're welcome have a nice day
help pleaseeeeeee :(
Answer:
Do 16 times pi.
Step-by-step explanation:
The closest answer is D.
Answer:
8 (option 1)
Step-by-step explanation:
Mark it as option 1 => 8 is the crt answer
2pi r = 16
r = 8
many do apply pls helpn
Answer:
a and b
Step-by-step explanation:
i think b i know a for sho
Answer:
32w+3
Step-by-step explanation:
8x4w=32w and you are left with the 3, so it ends up 32w+3
HELP WILL GIVE BRANLIEST
Answer:
The answer would be B [tex]120ft^{3}[/tex]
Step-by-step explanation:
volume of triangular prism is 30 and volume of the cube is 90 :)
Which of the following is true about the figure?
a. m MUC - m MUP = m PUC
b. m DUC + m VUA = m DUV
C. m MUC = m MUV = m VUA = m AUD
d. m CUA + m DUP = m PUM
Answer:
a. m<MUC - m<MUP = m<PUC
Step-by-step explanation:
From the options given, the only statement that is true of the figure shown is:
a. m<MUC - m<MUP = m<PUC
Rationale:
m<MUC = m<MUP + m<PUC (Angle Addition Postulate)
Subtract m<MUP from each side
m<MUC - m<MUP = m<PUC
During halftime of a soccer game, a sling shot launches T-shirts at the crowd. A T-shirt is launched from a height of 6 feet with an initial upward velocity of 64 feet per second. The T-shirt is caught 43 feet above the field. How long will it take the T-shirt to reach its maximum height? What is the maximum height? What is the range of the function that models the height of the T-shirt over time?
The T-shirt takes nothing second(s) to reach its maximum height.
(Type an integer or a decimal.)
The T-shirt's maximum height is nothing feet above the field.
(Type an integer or a decimal.)
What is the range of the function?
A.
6≤h≤70
B.
All real numbers
C.
43≤h≤70
D.
0≤h≤70
Answer:
During halftime of a footballgame, a sling shot launches T-shirts at the crowd. A T-shirt is launched from a height of 33 feet with an initial upward velocity of 64 feet per second. The T-shirt is caught 48 feet above the field.
Write an expression for " x divided by nine".
Please help!!
10 POINTS
Answer:
x/9
Step-by-step explanation:
x divided by 9
=> x ÷ 9
Take that and turn it into a fraction
=> x/9
hope this helps and is right. p.s. i really need brainliest :)
Answer:
45
Step-by-step explanation:
b) Suppose you throw two fair dice. What is the probability of getting an even number on the first and a 5 or 6
on the second die?
Answer:
Most likely 1/2 of a chance to get it and 1/6 of a chance to roll a 5 or 6
3x2 - 4x + 2
a) cubic binomial
b) quartic trinomial
c) quadratic trinomial
d) quadratic binomial
Answer:
c
Step-by-step explanation:
A quadratic trinomial has the form of ax² + bx + c
e.g. 3x² + 4x + 2
A quadratic binomial has the form of ax² + bx
e.g. 3x² + 4x
A cubic binomial has the form : ax³ + bx
3x³ + 4x
Please help immediately!!
Answer:
x=7° y=4°
Step-by-step explanation:
7x+131=180
7x=180-131=49
x=49/7=7°
11x+y+99=180
77+y+99=180
y=180-99-77
y=4°
Find the value of f(4) for the function
Answer:
f(4) = 7
Step-by-step explanation:
The notation for these type of problems is very confusing. Just remember that f(x) is the same thing as y (or some variable). Even if there is a number or something on the inside of the parentheses, it's still just a variable.
In our case
f(a) = 2(a + 4) -9
could be rewritten as
y = 2(a + 4) - 9
the thing on the inside of the parentheses signifies what the equation is dependent on.
so when is says f(4), it just want's you to trade out a for a 4, but the equation is still the same.
f(4) = 2((4) + 4) - 9
Now, just follow the order of operations
f(4) = 2(8) - 9
f(4) = 16 - 9
f(4) = 7
Find the surface area of the following figure with the given dimension
Answer:
435 in.²
Step-by-step explanation:
Surface area of the square pyramid = area of the square base + ½(Perimeter of base)(slant height)
Area of base = s²
s = 15 in
Area = 15² = 225 in²
Perimeter of the base = 4(15) = 60 in
Slant height = 7 in
Surface Area = 225 + ½(60)(7)
= 435 in.²
On a coordinate plane, a line goes through (negative 4, 0) and (4, negative 4). A point is at (2, 3).
What is the equation of the line that is parallel to the given line and passes through the point (2, 3)?
x + 2y = 4
x + 2y = 8
2x + y = 4
2x + y = 8
9514 1404 393
Answer:
(b) x +2y = 8
Step-by-step explanation:
The only offered line that includes the given point is ...
x +2y = 8
__
We can check the other choices:
x + 2y = 2 +2(3) = 2+6 = 8 . . . matches B (not A)
2x +y = 2(2) +3 = 4+3 = 7 . . . . not a choice
_____
Getting there from scratch
The standard form equation for a line can be written from ...
(y2 -y1)x -(x2 -x1)y = constant
(-4 -0)x -(4 -(-4))y = constant . . . . using the given points (-4, 0) and (4, -4)
-4x -8y = constant
For standard form, we need the leading coefficient to be positive, and we need common factors removed. We can get there by dividing by -4.
x +2y = constant
The value of the constant will be whatever it takes for the given point to lie on the line. For (x, y) = (2, 3) to be a solution, we must have ...
x +2y = (2) +2(3) = constant = 8
The desired line has the equation ...
x +2y = 8
Answer:
B on edge
Step-by-step explanation:
pick the Quadrant that you would plot (4,2)
A. Quadrant III
B. Quadrant II
C.Quadrant IV
D.Quadrant I
Answer:
D.) Quadrant I
Step-by-step explanation:
The quadrants start from Quadrant I (in the top left) and continue counter-clockwise to Quadrant II, Quadrant III, and Quadrant IV
Quadrant I = (+,+)
Quadrant II = (-,+)
Quadrant III = (-,-)
Quadrant IV = (+,-)
Now in this case, (4,2) is positive in the x value, and positive in the y value - so it belongs in Quadrant I!
Phil ate 2/3 of a Pizza. Erica eight 4/9 of the same sized pizza. Who ate more pizza? Explain
Answer:
Phil ate more
Step-by-step explanation:
The LCD of both fractions is 9. Thus,
Phil ate 6/9 of a pizza while
Erica only ate 4/9 of the same sized pizza
Just really need a answer to this Savvas question!
Answer:
Solution given:
radius=r=2cm
height=h=9cm
Volume of cone =⅓πr²h=⅓×π×2²×9=36π0r 113.1cm³
The required volume is 36π0r 113.1cm³
Someone answer this Please
Answer:
15 miles
Step-by-step explanation:
The Pythagorean theorem states that [tex]a^2+b^2=c^2[/tex] where a and b are the two legs (the sides of the triangle that are adjacent to the right angle) and c is the hypotenuse (the longest side). This only applies to right triangles.
Plug 12 mi and 9 mi into [tex]a^2+b^2=c^2[/tex] as a and b.
[tex]a^2+b^2=c^2\\12^2+9^2=c^2\\144+81=c^2\\225=c^2[/tex]
Take the square root of both sides
[tex]15=c[/tex]
Therefore, the length of the hypotenuse is 15 miles.
I hope this helps!
Help. Please and a few others are
Answer:
YES ITS MEDIAN!!!
Step-by-step explanation:
Answer:
yes you are correct it is the median.
Step-by-step explanation:
What is the value of x?
Answer:
122
Step-by-step explanation:
122 + 58 = 180
Answer:
x=122°
Step-by-step explanation:
58° and x form a straight angle, which is 180°.
x+58°=180°
x=180°-58°=122°
luego le digo 4yo1 xkw k
Answer:
okay luego le digo 4yo1 xkw k
Step-by-step explanation:
Question 5 (2 points)
Given the function rule y = 3x + 11, what is the value of y if x = 27
Answer: Y=83
Step-by-step explanation:
Answer:
y = 92
Step-by-step explanation:
plug in x = 27 into the equation y = 3x + 11,
y = 3(27) + 11
=> y = 81 + 11
=> y = 92
help please triangles and trig
Answer:
[tex]\sin L = \frac{3}{5}[/tex]
[tex]\tan N = \frac{4}{3}[/tex]
[tex]\cos L = \frac{4}{5}[/tex]
[tex]\sin N = \frac{4}{5}[/tex]
Step-by-step explanation:
Given
The above triangle
First, we calculate the length LM using Pythagoras theorem.
[tex]LN^2 = LM^2 + MN^2[/tex]
[tex]10^2 = LM^2 + 6^2[/tex]
[tex]100 = LM^2 + 36[/tex]
Collect like terms
[tex]LM^2 = 100 - 36[/tex]
[tex]LM^2 = 64[/tex]
Take positive square root
[tex]LM=8[/tex]
Solving (a): Sin L
[tex]\sin L = \frac{Opposite}{Hypotenuse}[/tex]
[tex]\sin L = \frac{MN}{LN}[/tex]
[tex]\sin L = \frac{6}{10}[/tex]
Simplify
[tex]\sin L = \frac{3}{5}[/tex]
Solving (b): tan N
[tex]\tan N = \frac{Opposite}{Adjacent}[/tex]
[tex]\tan N = \frac{LM}{MN}[/tex]
[tex]\tan N = \frac{8}{6}[/tex]
Simplify
[tex]\tan N = \frac{4}{3}[/tex]
Solving (c): cos L
This calculated as:
[tex]\cos L = \frac{Adjacent}{Hypotenuse}[/tex]
[tex]\cos L = \frac{LM}{LN}[/tex]
[tex]\cos L = \frac{8}{10}[/tex]
Simplify
[tex]\cos L = \frac{4}{5}[/tex]
Solving (d): sin N
This is calculated using:
If [tex]a + b = 90[/tex]
Then: [tex]\sin a = \cos b[/tex]
So:
[tex]\sin N = \cos L[/tex]
[tex]\sin N = \frac{4}{5}[/tex]
Use this model to calculate
3/8×2/6
Answer:
0.1249
Step-by-step explanation:
that's what answer my calculator gives me. Hope that helped. <3
xoxo
Answer:
6/48 or 1/8 when simplified
Step-by-step explanation:
i need help with a maths question please answer only if you know and not links
Answer:
x³/4z²
Step-by-step explanation:
Invert and multiply:
48x^5y²/12z^5 x z³/16x²y²=
(48x^5y²)(z³)/(16x²y²)(12z^5)
the y² cancel out
48÷16=3 (on top)
x^5÷x²=x³
12z^5/z³=z²(on bottom)
This leaves a 3x³ on top and 12z² on the bottom. 3÷12=4 (on bottom):
3x³/12z²
x³/4z²
what is 8w+5=4(2w+1)
Answer:
No solution
Step-by-step explanation:
1. Distribute the right side.
8w+5=8w+4
2. This has no solution.
a family wants to have two children determine the probability of a family having two girls
CAN SOMEONE PLEASE ANSWER THIS FOR ME
Ani do niot know lol
Step-by-step explanation:
Answer:
J. 20ft
Step-by-step explanation:
1 2/3 = 5/3
5/3 * 12/1 = 60/3
60/3 = 20