Answer: the difference if that 5.4 is not a negative number they are relatied because it takes them both 5.4 ,3 moves to get to 0
Step-by-step explanation:
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.
9.
Identify the point corresponding to Q.
IT'S NOT A. Q' (-3, -4)
A. Q′ (−3, −4)
B. Q′ (−4, 1)
C. Q′ (−1, −4)
D. Q′ (−4, −3)
Answer:
C(-1, -4)
Step-by-step explanation:
see the point reflected over the line through the vertex point
Answer:
D. Q′ (−4, −3)
Step-by-step explanation:
From looking at the graph it looks like the answer would be
Q= (3, -4) if the X-axis goes first
Q= (-4, 3) if the Y-axis goes first
Write 640 : 30 in the lowest form.
Answer:
should be 64:3
Step-by-step explanation:
divide by 10
The price of an item has been reduced by 85%. The original price was $37.
Answer: Multiply the original price by the decimal form of the percent and subtract that from the original price.
37*0.85=31.45
37-31.45=5.55
Answer: New price is $5.55
Find the product. Simplify your answer.
(4z+4)(z+4)
just letting you know that the variable is x on here thats just what happened it is the right answer though
please help me completing square
x^²+2x-24=0
Answer:
Step-by-step explanation:
x² + 2x -24 = 0
delta = 2² - 4*1*(-24)
delta = 4 + 96
delta = 100
x' = (-2 + [tex]\sqrt{100}[/tex]) / 2*1
x' = (-2 + 10) / 2
x' = 8 / 2
x' = 4
x" = (-2 -10) / 2
x" = -12 / 2
x" = -6
Can someone pls answer this because I only got 30 min with like 25 questions left
The property taxes on a business office were $2340. What was the tax rate if the business office was valued at $260,000? Follow the problem-solving process and
round
your answer to the nearest hundredth of a percent, if necessary.
Answer:
It is 2447/150,000
=0.0163=1.63%
Step-by-step explanation:
Abigail earned $10.26 for babysitting her cousin for 3 hours. How much did she earn in each hour?
Divide total earned by number of hours:
10.26/3 = $3.42
She earned $3.42 per hour
Which of the following is the graph of
Answer: C
Step-by-step explanation:
Which table could be a partial set of values for a linear function?
(Had to repost cuz of spamming)
The brand manager for a brand of toothpaste must plan a campaign designed to increase brand recognition. He wants to first determine the percentage of adults who have heard of the brand. How many adults must he survey in order to be % confident that his estimate is within percentage points of the true population percentage
Using the margin of error, it is found that he must survey 601 adults in order to be 95% confidence that his estimate is within 4 percentage points of the true population percentage.
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
95% confident, hence:
[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].
We have no estimate, hence, [tex]\pi = 0.5[/tex] is used.
Within 4%, hence, it is needed to find n for which M = 0.04.
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.04 = 1.96\sqrt{\frac{0.5(0.5)}{n}}[/tex]
[tex]0.04\sqrt{n} = 1.96(0.5)[/tex]
[tex]\sqrt{n} = \frac{1.96(0.5)}{0.04}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.96(0.5)}{0.04}\right)^2[/tex]
[tex]n = 600.25[/tex]
Rounding up, 601 adults must be sampled.
A similar problem is given at https://brainly.com/question/15133177
slope of thissss
please help
-0.66
Step-by-step explanation:
can u mark me a brainliest
anyone good at maths?
1 ) 4 × 11 = 44 yd
____________________
2) 4 × 2 = 8 ft
____________________
3) 4 × 4 = 16 in
____________________
4) 4 × 6 = 24 ft
____________________
5) 4 × 18 = 72 in
____________________
6) 4 × 5 = 20 yd
____________________
7) 4 × 9 = 36 in
____________________
8) 4 × 13 = 52 yd
____________________
9) 4 × 10 = 40 ft
Answer:
I am good, but not for peremiter
Step-by-step explanation:
Find the values of all 6 trigonometric functions for the angle inside right triangle where the opposite side of the angle is 9 cm and hypothenuse of the triangle is 13 cm.
Answer:
See belowStep-by-step explanation:
Find the missing leg x first using Pythagorean:
[tex]x=\sqrt{13^2-9^2} =\sqrt{169-81} =\sqrt{88}[/tex]Now the 6 functions, considering angle α opposite to leg with length of 9:
sine = opposite/hypotenuse
sin α = 9 / 13cosine = adjacent/hypotenuse
cos α = √88 / 13tangent = opposite / adjacent
tan α = 9 / √88cotangent = adjacent / opposite
cot α = √88 / 9secant = hypotenuse / adjacent
sec α = 13 / √88cosecant = hypotenuse / opposite
csc α = 13 / 9B=
[tex]\\ \sf\longmapsto \sqrt{13^2-9^2}=\sqrt{169-81}=\sqrt{88}\approx9.5[/tex]
Now
[tex]\\ \sf\longmapsto sinA=\dfrac{P}{H}=\dfrac{9}{13}[/tex]
[tex]\\ \sf\longmapsto cosA=\dfrac{B}{H}=\dfrac{9.5}{13}[/tex]
[tex]\\ \sf\longmapsto tanA=\dfrac{P}{B}=\dfrac{9}{9.5}[/tex]
[tex]\\ \sf\longmapsto cotA=\dfrac{1}{tanA}=\dfrac{9.5}{9}[/tex]
[tex]\\ \sf\longmapsto secA=\dfrac{1}{cosA}=\dfrac{13}{9.5}[/tex]
[tex]\\ \sf\longmapsto cosecA=\dfrac{1}{sinA}=\dfrac{13}{9}[/tex]
a coin is flipped 3 times and lands on heads each time. What is the probability of it landing on tails on the fourth flip?
Answer:
1/4
Step-by-step explanation:
since the dice would be rolled 4 times, and the dice rolled heads 3 times, the probability of the coin land8ng of tail on the 4th flip is 1/4
The probability of it landing on tails on the fourth flip will be 1/4.
What is probability?
Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favorable outcomes / Number of sample
Given that a coin is flipped 3 times and lands on heads each time. The probability of getting head on the fourth flip will be:-
Probability = Number of favorable outcomes / Number of sample
Number of favorable outcomes = tails = 1
Number of samples = 4
Probability = 1 / 4
Therefore, the probability of it landing on tails on the fourth flip will be 1/4.
To know more about probability follow
https://brainly.com/question/24756209
#SPJ2
Prepare a mixture of 300 mL of 70% alcohol and 200 mL of 95% alcohol. What is the percentage strength of the final solution?
Answer:
Step-by-step explanation:
300(0.70) + 200(0.95) = (300 + 200)x
400 = 500x
x = 0.80
80%
For what positive number is the cube of the number greater than twice it’s square
Answer:
You want to solve the equation
x2=2x3 ,
which is equivalent to
x2(1−2x)=0 .
The product of two factors is zero if and only if one of the factors is zero. Thus, this implies that either x2=0 or that 1−2x=0 .
In the former case we have x=0 , which isn’t a positive number. In the latter case you have x=1/2 , which is the solution that we want.
Step-by-step explanation:
Solve the right triangle. a = 2.2 m, B = 37.7°, C = 90° 4) A) A = 52.3°, b = 0.6 m, c = 2.3 m B) A = 52.3°, b = 1.7 m, c = 2.8 m C) A = 52.3°, b = 3.2 m, c = 3.9 m D) A = 52.3°, b = 3.2 m, c = 2.8 m
Answer:
B) A = 52.3°, b = 1.7 m, c = 2.8 m
Step-by-step explanation:
We know that it is a right angle triangle because C = 90°
because of that we can do 180 - 90 + 37.7
which is a=52.3
Because it is a right angle triangle, we can use sin, cos,tan
I will use sin to find the side of c
2.2 is a
sin 52.3 = 2.2/x
x= 2.2/ sin 52.3
x=2.78
You could do cos or tan but the pythagorean theorem for me is much faster
so it looks like this, a^2+b^2 =c^2
in this case we have both a and c we want b
so we rearrange
c^2-a^2=b^2
2.78^2-2.2^2= b^2
[tex]\sqrt{2.89}[/tex]=b
1.7=b
therefore it would be this option B) A = 52.3°, b = 1.7 m, c = 2.8 m
An estimate for - 72
-8.1
-8.5
-9.1
-9.5
[tex]solution[/tex]
[tex] \sqrt{72} [/tex]
Factor the expression
[tex] \sqrt{6 }^{2} \times 2[/tex]
Use the properties of radicals
[tex] \sqrt{6 {}^{2} } \sqrt{2} [/tex]
simplify the root
[tex]answer[/tex]
[tex]6 \sqrt{2} [/tex]
Answer:
the answer is -8.5
you should use m.a.t.h.w.a.y it is very helpful with math and brainly would not let me say the name the correct way so I had to put periods but anyways have a good day or night
︎
Question is in picture
Drag and drop the steps in order to correctly complete the proof
9514 1404 393
Explanation:
The correct order of the steps is ...
(Given)(Definition of supplementary)(Substitution)(Subtraction ...)(Definition of congruent angles)A proof always starts with "given". It always ends with a statement of what you have proved.
To fill in the sequence between these, it helps to think about what the relationships are and why you can conclude that the theorem is correct.
help 1234567891011121314151617181920
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
Solve:
8t + 2 = 8 (4) + 2 = 32 + 2 = ?
Whats the question mark?
Answer:34
Step-by-step explanation:
32+2=34
Answer:
= 34
Step-by-step explanation:
8t + 2 = (4) + 2 = 32 + 2 = 34
that's my answer , i wish my answer helps you
3a) A box contains trays of melons, There are 15 melons in a tray. There are 3 trays in a box. A supermarket sells 40 boxes of melons. How many melons does the supermarket sell?
Answer:
1,800
Step-by-step explanation:
15 x 3 x 40 = 1,800
( A box)
The price was reduced from two thousand, four hundred ninety-eight dollars to one thousand, nine hundred ninety- nine dollars. By how much was the price reduced?
Answer:
$499
Step-by-step explanation:
Since the price was reduced from an amount which is $2,498. You have to take that amount and the other amount which is $1999 and subtract them both.
2489-1999=499
(When you get your answer,make sure to add the dollar sign.)
The price was reduced by $499.
the number of students in a chess club decreased from 37 to 19. What is the percent decrease? Round your answer to the nearest percent. The percent decrease is %.
Answer:
You should be able to get your answer by
Step-by-step explanation:
For example let's sayAbout 33%. You divide 12 by 18 and get 0.6666666 and it goes on. So, rounded to the nearest percent, it is 67%. Then, you subtract it from 100 and get 33%. So the percent decrease is 33%.
Hope this helps
Help please please need quick
If Lauren can run
150 feet in 1/3 of
a minute. What
is her unit rate in
feet per minute?
Answer:
450
Step-by-step explanation:
150* 3
hope this helps
Answer:
450
Step-by-step explanation:
150 feet in 1/3 min
? ----- 1 min
150 * 1 = x * 1/3
x = 150 * 3
= 450
what would be the volume of the cone that has the same measurement as the cylinder above in the pic
do the working also
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Volume of cone will be ~
[tex]\fbox \colorbox{black}{ \colorbox{white}{volume} \: \: \: \: \: \colorbox{white}{=} \: \: \: + \colorbox{white}{462 \: cm³ }}[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's find the volume of cone with ~
radius (r) = 7 cmheight (h) = 9 cmAnd as we know, volume of cone is equal to ~
[tex] \dfrac{1}{3}\pi {r}^{2} h[/tex]now, let's plug in the values and find the volume ~
[tex] \dfrac{1}{ \cancel{3} }\times \dfrac{22}{\cancel{7}} \times \cancel{7 }\times 7 \times \cancel{9}[/tex][tex]1 \times 22 \times 7 \times 3[/tex][tex]462 \: \: {cm}^{3} [/tex]Volume of cone is 462 cm³ = 462 ml