Answer:
(x-6) (x-6) or (x-6)^2
Step-by-step explanation:
1.) Find factors of 36 that add up to 12
2.) 6 which makes this a perfect square
3.) you know to subtract because the middle term is negative and the third term is positive (two negatives make a positive)
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.
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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
Solve the system of equations.
-3y + 5x = 26
– 2y – 5x =-16
X =? Y=?
Answer:
x= 94/25
y= 58/5
Step-by-step explanation:
Answer:
X=4
Y=-2
Step-by-step explanation:
Just did it on Khan
p(x) = (x + 2)(2x^2+ 3x – 9)
Plot all the zeros (c-intercepts) of the polynomial in the interactive graph.
Answer:
-2, -3, 3/2
Step-by-step explanation:
Factor 2x^2+ 3x – 9
(x+3)(2x-3)
(x + 2)(x+3)(2x-3) - the zeros are basically the opposite of the numbers here
x+2=0
x=-2
x+3=0
x=-3
2x-3=0
x=3/2
To plot just put the numbers on the x line because it is (x,0)
help me with all these questions please
usa a caucula ciêntifica
what is the range of 125 110 115 165 145 180
Answer:
the range is 70, you subtract the highest number from the lowest so 180 - 110 which equals 70
Hope this helps
HELP PLZ WILL GIVE BRAINLIEST !!! Simplfy completely (−4x + 6y)(2x − y). Show all work for full credit.
Can someone help me? I am stuck on this question! and tysm to the people who helped me!! <3 have a nice day!
Answer:
100/70
Step-by-step explanation:
i did 25 times 4 got 100 then did 100/70
please help meeeeeeeewwewe
20 POINTS for that someone can give me just the anwers
Answer:
Solutions for x are 2, 1/3
Everything in the second image is correct except you forgot to put 2 for c in the quadratic formula.
Answer:
:)
Step-by-step explanation:
PLS HELP IM CONFUSED
Answer:
D
Step-by-step explanation:
6 and 3 can both be divided by 3, which gives u 2/1
Answer:
D. 2 cups of flour/1 cup of milk.
Step-by-step explanation:
Here's the definition of unit rate:
unit ratethe ratio of two different units, with the denominator as 1. For example, kilometer/hour, meter/sec, miles/hour, salary/month, etc.
Since we need to find the unit rate, find the GCF of 6 & 3 (3). Now divide both values by 3.
(6/3)/(3/3)
2/1
The unit rate between cups of flour to cups of milk is 2:1, which is D.
6 more than the quotient
of a number and 5
If r = .15, this indicates
strong negative correlation.
strong positive correlation.
weak negative correlation.
weak positive correlation.
Answer:
Weak Positive Correlation
Step-by-step explanation:
The r value of 0.15 indicates a weak positive correlation value because a weak correlation value is less than 0.3, anything between 0.3 and 0.7 are a moderate correlation, and anything greater than 0.7 would be a string correlation. So, since this is less than 0.3, this is a weak correlation. A positive correlation is a positive value and a negative correlation value is a negative number, so this would be a weak positive correlation value.
A value of r = 0.15 suggests a weak positive correlation, indicating a slight tendency for the variables.
As per the question, the value of r is positive (greater than 0), which suggests a positive correlation between the variables.
However, the value of 0.15 is close to 0 and relatively small, indicating a weak correlation.
This means that there is a weak tendency for the variables to increase or decrease together.
Thus, a value of r = 0.15 suggests a weak positive correlation, indicating a slight tendency for the variables to increase or decrease together, but the relationship is not strong.
To learn more about the correlation click here:
https://brainly.com/question/17206211
#SPJ2
Is the following number, rational, irrational, or nonreal?
Answer:
Rational
√36
=6
plz mark me as brainliest
Answer: Rational
Step-by-step explanation:
= /36
= 6
Can you give me a thank you?
Help i'll give you brainlyest
Answer:
Its not A and B and I know that, but can you show the rest so I can see if its C because the rest of the picture isn't there
Graph the equation.
y-3= -5(x-1)
Step-by-step explanation:
First you gotta write it in standard form
y - 3 = -5(x-1)
distribute -5(x-1) = -5x + 5
y - 3 = -5x + 5
+3 +3
y = -5x + 8
I used desmos graphing caculator to graph
What is the estimated volume of a figure with a length of 3cm, a height of 4cm, and a width that is approximately 2 times the height?
Step-by-step explanation:
Given
length(l)=3cm
height(h)=4cm
breath or width (b)=2×h=2×4=8cm
now it is a cuboid
volume of cuboid=l×b×h=3×8×4=96cm³
Answer:32,cm3
Step-by-step explanation:
What is the equation of g(x)?
The graphs of f(x) = 5x and its translation, g(x), are
shown on the graph.
30 ly
25
12,25)
O g(x) = 5*-9
O g(x) = 5x-10
g(x) = 5x – 9
g(x) = 5x – 10
20-
х
15
(2, 15)
10-
(1,57
f(x) (01)
计
6 5 4 3 2 -15
2
(1,-5)
wo
g6x)
(0-9)
-15
20
-25
30 -
Answer:
the third option: g(x) = 5^x - 9
Step-by-step explanation:
identify the y-intercept, which is (0, -9)
find the option with: y = mx - 9
↑ the y-intercpet
The equation that represents g(x) is [tex]g(x) =5^x - 9[/tex]
The function f(x) is given as:
[tex]f(x) =5^x[/tex]
From the graph, the function f(x) is shifted down by 9 units
The rule of this transformation is represented as:
[tex](x,y) \to (x,y-9)[/tex]
So, we have:
[tex]g(x) =f(x) - 9[/tex]
Substitute [tex]f(x) =5^x[/tex]
[tex]g(x) =5^x - 9[/tex]
Hence, the equation that represents g(x) is [tex]g(x) =5^x - 9[/tex]
Read more about function transformation at:
https://brainly.com/question/1548871
You take out a loan for $ 1 , 000 at a simple interest rate of 10 % to be paid back in 12 monthly installments. What is the amount of the monthly payments?
Answer:
i need 5 points im sorry mate
Step-by-step explanation:
Answer:
8.33333333333
Step-by-step explanation:
Annette has 1/4 yard of fabric. She cuts it into 3 equal pieces. Each piece of fabric is ____ yard.
Answer:
1/12
Step-by-step explanation:
Simpliy divide 1/4 by 3
(1/4)/3=1/12
Helpppsppspspspspsp plssss
Answer: About 804.25
Step-by-step explanation:
Do the inverse of the circumference formula and then take the radius and put it into the formula for the area of a circle
What is the volume to the nearest tenth
Answer:
735.84
Step-by-step explanation:
Search Up Cone Volume Formula
Answer: 84.7 cm
Step-by-step explanation:
I just multiplied them both and rounded the 84.66 to a 84.7, hope I helped!
50 m
50 m
28 m
Find the area of the isoceles triangle.
The area is
square meters.
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Answer:
672 m²
Step-by-step explanation:
There are several ways you can do this.
It appears you are intended to divide the isosceles triangle into halves that are right triangles with a leg of 14 and a hypotenuse of 50. The height can then be found from the Pythagorean theorem:
h² = 50² -14² = 2304
h = √2304 = 48
Then the area is ...
A = 1/2bh
A = (1/2)(28 m)(48 m) = 672 m² . . . triangle area
_____
Additional comment
You may recognize the right triangle as a (7, 24, 25) Pythagorean triple, multiplied by 2.
Find the common ratio of the geometric sequence 6 , 24 , 96 , . . .
Answer:
4
Step-by-step explanation:
6 * 4 = 24
24 * 4 = 96
Plz hurry.....................
Answer:
figure of cuboid
volume of cuboid=l×b×h
Step-by-step explanation:
(10×3×4)in cube=120incube
A cylinder and a sphere shown below have equal volumes what is the radius of the sphere
due today! The price of an ice cream cone is $2.75. You buy one for yourself and another for your little brother. How much sales tax will you pay? The sales tax rate is 7.5% How much sales tax will you pay?
Answer:
$0.41
Step-by-step explanation:
1 ice cream cone: $2.75
2 ice cream cones: 2 * $2.75 = $5.50
7.5% of $5.50 =
= 0.075 * $5.50
= $0.4125
Answer: $0.41
Find the least common multiple (LCM) for the pair of
numbers 6 and 18.
Answer:
LCM = 24
Step-by-step explanation:
Estimate a 15% tip on a dinner bill of $63.27 by first rounding the bill amount to the nearest ten dollars.
Answer:
69
Step-by-step explanation:
Nearest 10 = 60
15%×60 = 9
60+9 = 69
can you guys help me pls
Answer
A
Step-by-step explanation:
So in the diagrams we see there is 2/3 shaded into a 12 cutted square. So we multiply 4x3 to get 12. So now we have to turn the 3 into 12.
so
[tex]\frac{2}3}[/tex] x[tex]\frac{4}{4}[/tex] =[tex]\frac{8}{12}[/tex]
Since we multiplied 4 on the bottom we have to multiply 4 on the top.
sorry im not good at explaining but if you need me to re explain ill work on it. :)
water has a density of 1.0 g/cm3 a plastic box has a volume of 78 cm and weighs 80 grams will the box sink or float on water
If possible explain thx!
What we'll do:
A method to find whether an object will float or sink in a liquid is to find it's specific gravity with respect to the liquid, The Specific Gravity tells us the percentage of object's mass which will be submerged in water
Finding the Specific Gravity:
Density of Box:
Density = Mass / Volume
Density = 80 grams / 78 cm³
Density = 1.02 grams/cm³
Specific Gravity of Box with respect to water:
Specific Gravity = Density of Box / Density of Water
we know that density of water is 1 gm/cm³, plugging the values
Specific Gravity = 1.02 / 1
Specific Gravity = 1.02
Hence, 102% of the object will be under water
Q. but I've only heard about 100% of something, how can something be more than 100%?
A. The answer is that the extra 2% over the 100% is providing to the object being even deeper underwater