A rocket travels according to the equation h = - 4.9(t - 6)^2 + 182, How high was the rocket above the ground when it was fired?
Which statement describes the expression below? 1 + 6 ÷ 2 × 3 Multiply the quotient of 6 and 2 by 3, then add 1. Add 1 and 6, then divide by 2 and multiply by 3. Divide 6 by the product of 2 and 3, then add 1. Add 3 to half of 6 multiplied by 1.
Answer:
Add 1 and 6, then divide by 2 and multiply by 3.
Step-by-step explanation:
Can someone answer this soon please
Answer:
the last one i think
Step-by-step explanation:
Does this line represent a function? Yes or no
Answer:
Yes
Step-by-step explanation:
The line is straight, showing a linear relationship between x and y.
Answer:
yes this does represent a funtion
Step-by-step explanation:
because if we use the vertical line test where you get a pencil and put it the graph verticaly any where thier is no points on the graph that toch the pencil twice
factor: 18x²+39y-15=0
Answer: x = 6
y= 6x2/13 + 5/13
Step-by-step explanation: to solve for and y: Isolate the variable by dividing each side by factors that don't contain the variable
if you start at 89 degrees and it decreases 5% each hour what would it be at in 3 hours
Answer:
A = 76.3 degrees after 3 hours
Step-by-step explanation:
An exponential function is needed here:
A = P(1 - 0.05)^3, where this (1 - 0.95) reflects a DECREASE of 5%/hour.
Then: A = (89 degrees)(0.95)^3, or
A = 76.3 degrees after 3 hours
Which one should I choose?
Answer:
∠ 1 = 58°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
117° is an exterior angle of the triangle, then
∠ 1 + 59° = 117° ( subtract 59° from both sides )
∠ 1 = 58°
I NEED HELP I NEED TO PASS THIS
Answer:
A. the area of the large pond is 16 times the area of the small pond
Step-by-step explanation:
let's say 4 is the radius of the small circle, which means the area is 50.26548
if the large circle is 4 times the small circle, that means it's radius is 16 which means the area is 804.24772
so if you divide the big circle area by the small circle area:
804.24772/50.26548
it gives you 16.00000079577 which is rounded to 16
therefore, the bigger circle is 16 times bigger than the smaller circle
Distribute then combine like terms in the following: 2(2x - 3y) - 3(x - 2y - 4) 4
I think its:
2(2x-3y)-3(x-2y-4)4
4x-6y-3x-6y(4)
4x-6y-3x-24y
x-30y
Jason jumped off a cliff into the ocean in Acapulco while vacationing with some friends. His height as a function of time could be modeled by the function h ( t ) = − 16 t 2 + 16 t + 480 h(t)=−16t 2 +16t+480, where t is the time in seconds and h is the height in feet. What is the maximum height that Jason reaches?
Answer:
484feet
Step-by-step explanation:
If the height as a function of time could be modeled by the function h(t)=−16t^2 +16t+480, where t is the time in seconds and h is the height in feet.
The maximum height of Jason occurs when dh/dt = 0 (velocity is zero)
dh/dt = -32t + 16
0 = -32t + 16
32t = 16
t = 16/32
t = 1/2
t = 0.5secs
Get the maximum height
Recall that h(t)=−16t^2 +16t+480
Substitute t = 0.5
h(0.5)=−16(0.5)^2 +16(0.5)+480
h(0.5) = -4 + 8 + 480
h(0.5) = 4 + 480
h(0.5) = 484
Hence the maximum height reached by Jason is 484feet
The maximum height that Jason reaches is h = 484 feet and it will be reached at t = 0.5 sec.
How to find the maximum of a polynomial function?Let the function be denoted by [tex]y = f(x)[/tex]
If it is twice differentiable, then, firstly, we differentiate it with respect to x and equate with 0 to find the critical values.
Let the obtained critical values be [tex]x_1, x_2, ... x_n[/tex]
The second derivative of that function is then evaluated on those critical values.
The [tex]i^{th}[/tex] critical value has got the maximum if [tex]f''(x_i) < 0[/tex]
That means, if at [tex]x = x_i[/tex] , we get
[tex]f'(x-i) = 0\\and\\f''(x_i) < 0[/tex]
Then that point is where function will have maximum.
If [tex]f''(x_i) > 0[/tex], then the point where the function will have minimum
If value of second rate at point [tex]x_i[/tex] is 0, then we go for third rate of function and check the same facts so on for upper rate(if they exist).
For the given case, we're given the height function as:
[tex]h(t) = - 16t^2 + 16t + 480[/tex]
The function is infinitely differentiable as its polynomial(by a theorem).
Its first and second rate with respect to 't', we get;
[tex]h(t) = - 16t^2 + 16t + 480\\h'(t) = -32t + 16\\h''(t) = -32 < 0[/tex]
Thus, all critical points will be maximum points.
The critical points are evaluated by [tex]h'(t) = 0[/tex]
They are calculated as:
[tex]h'(t) = 0\\-32t + 16 = 0\\t = 0.5 \: \rm sec[/tex]
The height at t = 0.5 s is evaluated as:
[tex]h(0.5) = - 16(0.5)^2 + 16(0.5) + 480 = 484 \: \rm feet[/tex]
Thus, at time 0.5, the height function will be at its maximum value(484 feet). That means, the height of Jason will be maximum when time will be 0.5 seconds from initial time.
Learn more about maximum and minimum values here:
https://brainly.com/question/13333267
Emily and her friends pick 27 lb of blueberries each pound of blueberries contains 195 blueberries how much blueberries been Emily and her friends pic
Reduce your fraction into lowest terms.
Is x polynomial or not? If it is, state the type and degree of the polynomial.
Answer:
SORRY I DONT KNOW THE ANSWER
Step-by-step explanation:
Hey can you help me fast!!!
Answer:
40 square feet
Step-by-step explanation:
I gotcha bro
4 x 12 = 48
48 - 3 x 2 - 1 x 2 = 48 - 6 - 2 = 40
Anyone know how to answer this mathematics question?
Answer:
B: (-2,-8)
Step-by-step explanation:
(-2,-8) works because (-2-5)^2 + (-8+11)^2 = 49 + 9 = 58
What is the integer closest to the square root of 17
Answer:
4
Step-by-step explanation:
[tex]\sqrt{16}[/tex] = 4
Answer:
4.
Step-by-step explanation:
The square root of 17 is 4.12...
square root of 16 is 4
For every 4 of my wonderful nieces, I want to buy 5 Friendly cupcakes. And I have 12 wonderful nieces.
Answer:
15 cupcakes
Step-by-step explanation:
I'm guessing you mean that you want to find out how many cupcakes you'll need to buy.
Mhanifa please help this is due soon
Answer:
(27)Rectangle
Interior angles are all 90°
5x - 3° = 90° 5x = 93° x = 93°/5 x = 18.6° (28)Rhombus
All sides are congruent
14 - x = 2x + 5 2x + x = 14 - 5 3x = 9 x = 3 (29)Square
Diagonals are perpendicular
13x + 5.5° = 90° 13x = 84.5° x = 84.5°/13 x = 6.5°The answer of the question
Answer:
123cm
Step-by-step explanation:
becuse
PLEASE HELP ASAP NO LINKS PLEASE A relationship between education and income is given in the table. Based on the data, how much more does a person with a bachelor's degree earn than a person with a high school diploma over the course of 15 years?
A)$387,075
B)$398,730
C)$753,585
D)$785,805
Degree of education Income
High school diploma $26,582
Associate's degree $37,955
Bachelor's degree $52,387
Master's degree $59,995
Doctoral degree $76,821
Use the 45-45-45-90 triangle relationship to find the missing sides
Answer: A is 8. B is the square root of 128.
Step-by-step explanation: Nah.
can you please answer these questions
Can anyone explain how you graph things for example, like y=x-4 how would you graph that
Answer:
In basicallity if a question such as this pops up, the correct way to go would first be to graph this. y=x-4 would be equivalent to x=4.
My paper work is below:
y = x - 4
0 = x - 4
-x = -4
x = 4
Hope this helped..
Using the formula below, calculate the z-score for the listed data points. z-score: zx = x − μ σ z1 = z5 = z6.5 =
Answer:
z1 = -1.95
z5 = 0.05
z6.5 = 0.8
Step-by-step explanation:
The value of the z score for a mean of 4 and standard deviation is 1.
What is Z score?The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
z = (x - μ)/σ
Where x is the raw score, μ is the mean and σ is the standard deviation.
Let us assume that μ = 4, σ = 2, hence for x = 6:
z = (6 - 4) / 2 = 1
The value of the z score for a mean of 4 and standard deviation is 1.
Find out more on Z score at: https://brainly.com/question/25638875
Como leer el decimal 0.000000215
Answer:
cero con doscientas quince mil millonésimas
Step-by-step explanation:
Please help
Find x:
5
31
10
60
Answer:
x=31....................
Please help.
For math class
Answer:
x = 30, z = 45, y = 105
Step-by-step explanation:
The lines are straight, so:
x = 30
z = 45
y = 180 - (45 + 30)
So there
The sum of 10 and twice a number
(an equation)
Answer:
10+2x= the sum (anything could be put here)
Step-by-step explanation:
Well sum is automatically addition
Doubleing a number is basically multiplying it by 2
so
10+2x= whatever youw ant to put here
The school office bought 25 pounds of paper . One pound of paper contains 800 sheets of paper did the school buy ?
Answer:
I think 20,000 sheets of paper
Step-by-step explanation:
800 x 25 is 20,000
Answer:
The school has 20,000 sheets of paper.
Step-by-step explanation:
800 sheets in one pound
800X25=20,000
A variety pack of snacks contains 4 pretzel bags, 3 popcorn bags and 3 cheddar cracker bags. What is the probability that someone selects a pretzel bag, keeps it, and then selects another pretzel bag. HELLP PLS
Answer:
2/15
Step-by-step explanation:
Given that :
pretzel = 4
Popcorn = 3
Cheddar cracker = 3
Total = 4 + 3 + 3 = 10
Probability = Required outcome / Total possible outcomes
Selecting with replacement :
First selection :
P(pretzel bag) = 4 / 10
Second selection :
P(pretzel bag) = 3 / 9
P(2 pretzel bags) = 4/10 * 3/9 = 12 / 90 = 2/15