Answer:
The rocket will hit the ground after about 8.20 seconds.
Step-by-step explanation:
The height of the rocket y, in feet, x seconds after launch is modeled by the equation:
[tex]y=-16x^2+121x+83[/tex]
We want to find the time at which the rocket will hit the ground.
If it hits the ground, the height of the rocket y will be 0. Thus:
[tex]0=-16x^2+121x+83[/tex]
We can solve for x. Factoring (if possible at all) or completing the square can be tedious, so we can use the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
In this case, a = -16, b = 121, and c = 83. Substitute:
[tex]\displaystyle x=\frac{-(121)\pm\sqrt{(121)^2-4(-16)(83)}}{2(-16)}[/tex]
Simplify:
[tex]\displaystyle x=\frac{-121\pm\sqrt{19953}}{-32}[/tex]
Divide everything by -1 and simplify the square root. The plus/minus will remain unchanged:
[tex]\displaystyle x=\frac{121\pm3\sqrt{2217}}{32}[/tex]
Therefore, our two solutions are:
[tex]\displaystyle x=\frac{121+3\sqrt{2217}}{32}\approx 8.20\text{ or } x=\frac{121-3\sqrt{2217}}{32}\approx -0.63[/tex]
Since time cannot be negative, we can ignore the second solution.
Therefore, the rocket will hit the ground after about 8.20 seconds.
Please help I’ll mark brainliest please!!!!!
Answer:
C
Step-by-step explanation:
PLZ HELPPP MEEEE
Combine the radicals
Answer:
C) [tex]17\sqrt{13}[/tex]
Step-by-step explanation:
[tex]-2\sqrt{13} +19\sqrt{13} \\\\17\sqrt{13}[/tex]
Erica had 30 dollars to spend on 3 gifts. She spent 10 7 10 dollars on gift A and 6 2 5 dollars on gift B. How much money did she have left for gift C?
PLZ HELP
I'm stuck on this :
Answer:
She went over her amount of money on her first two gifts so she has no money left for gift C.
Step-by-step explanation:
Gift A = 10 + 7 + 10 = 27
Gift B = 6 + 2 + 5 = 13
27 + 13 = 40
She went over her amount of money on her first two gifts so she has no money left for gift C???
Did you mean to put that many numbers for each gift or is there some kind of mistake in the question?
13 and 14 pls help :))
Answer:
1st and 2nd options
Step-by-step explanation:
Using the method of completing the square to obtain standard form
(13)
Rearrange the given equation so x and y terms are together, that is
x² + 24x + y² + 30y + 353 = 0 ( subtract 353 from both sides )
x² + 24x + y² + 30y = - 353
To complete the square
add ( half the coefficients of the x/ y term)² to both sides
x² + 2(12)x + 144 + y² + 2(15)y + 225 = - 353 + 144 + 225
(x + 12)² + (y + 15)² = 16
(x + 12)² + (y + 15)² = 4² ← in standard form
with centre = (- 12, - 15 ) and radius = 4
---------------------------------------------------------------------
(14)
As in number 13
x² - 22x + y² + 16y = - 181
Complete the square
x² + 2(-11)x + 121 + y² + 2(8)y + 64 = - 181 + 121 + 64
(x - 11)² + (y + 8)² = 4
(x - 11)² + (y + 8)² = 2² ← in standard form
with centre = (11, - 8 ) and radius = 2
can someone help me with this... also can you do this on paper...
here you go hope this helps!
heyy dude just wanted points. so yeah.
A fair coin is flipped twice. H is recorded for heads and T for tails after each flip. The notation for conditional probability is P(H on 2nd flip|H on 1st flip). Which notation is the probability of the two events being not independent?
Answer:
The Notation for each event Not been independent = P( HT ) or P( TH )
Step-by-step explanation:
when A fair coin flipped ; P( H ) = 0.5 and P( T ) = 0.5
Hence when it is flipped twice the possible outcome = 4
= HH , HT , TT, TH
Since Notation for conditional probability = P ( HH ) this shows that each flip is independent
The Notation for each event Not been independent = P( HT ) or P( TH )
Answer: P(H on 2nd flip|H on 1st flip)=P(H on 2nd flip)
Step-by-step explanation:
There are 28 girls and 14 boys in the school band. What is the ratio of boys to girls, in lowest terms, in the school band?
Answer:
2:1
Step-by-step explanation:
I hope it's helped.......
Answer:
Original ratio:
Boys Girls
14:42 28:42
Lowest terms:
Boys Girls
1:3 2:3
It's urgent!!!
Solve 5a - 2b =7 and 5a + 2b =14 simultaneously
Solve the equation lol 54x+6x-30=7(x+2)+3x
Answer: 22/25
Step-by-step explanation:
54x+6x-30=7(x+2)+3x
60x-30=7(x+2)+3x
60x-30=7x+14+3x
60x-30=10x+14
60x-10x-30=14
60x-10x=14+30
50x=14+30
50x=44
x=22/25
What angle is this?
Someone plz help me
Answer:
a
Step-by-step explanation:
It’s timed can sb please help me
Answer:
D
Step-by-step explanation:
The intersection of the graphs is at (-3,4).
Answer:
(-3,4)
Step-by-step explanation:
we have to find the point in common of the two lines, that is where they intercept.
when we write a point, we have to sign first the coordinate of the x, and then the coordinate of the y.
So the answer is : (-3,4)
You have to write a equation
Answer:
y = 3 sin 4x
Step-by-step explanation:
For y = a sin bx,
a is the amplitude which is the crest of the graph. In this case a = 3 from the given graph.
Now, b is associated with the period where; b = 2π/period
From the graph the period which is the time between where the graph crosses the x-axis = π/2
Thus; b = 2π/(π/2)
b = 4
Thus,equation is; y = 3 sin 4x
What is the difference between 2386 and 7000 check your answer using inverse operations
Answer:
7,000 - 2,386 = 4,614
please help me this is geometry and i am so clueless!!!!!
Answer/Step-by-step explanation:
Problem 1:
E is the centroid of the triangle.
Centroid theorem states that the centroid is ⅔ of the distance of each vertex to the midpoint of the side opposite each vertex.
This implies that:
AE = ⅔(AD)
AE = 21
Therefore:
21 = ⅔(AD)
3*21 = 2(AD)
(3*21)/2 = AD
31.5 = AD
AD = 31.5
Problem 2: Apply the centroid theorem. Thus:
DE = ⅓(AD)
DE = 12
Therefore,
12 = ⅓(AD)
12*3 = AD
36 = AD
AD = 36
Which of the following phrases are equations?
Choose 2 answers:
Choose 2 answers:
(Choice A)
A
4x^34x
3
4, x, cubed
(Choice B)
B
b=9b=9b, equals, 9
(Choice C)
C
7+19=26\text{}7+19=267, plus, 19, equals, 26, start text, end text
(Choice D)
D
a+9>72a+9>72a, plus, 9, is greater than, 72
(Choice E)
E
x+y-\dfrac83x+y−
3
8
Answer:
c b
Step-by-step explanation:
khan
Sally has 8 red marbles and 16 green
marbles. She also has red bags and
green bags. She wants to put marbles in
the bags that match their color. Each
bag will have the same number of
marbles. What is the largest number of
marbles she can put into each bag?
Answer: 8
Step-by-step explanation: It's just GCF. The greatest common factor (GCF) of 8 and 16 is 8 (8 and 16 are both divisible by 8 but not by anything greater) which brings us to our answer.
4x – 8
Please helppp
-2
Divide each term (-4x = 8 by -4)
Cancel the common factor of -4
x = 8/-4
THEN DIVIDE
x=-2
I don’t know if this is correct !!!!!!!!!! Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answer:
hi
Step-by-step explanation:
i think so,
if the two corresponding sides of one triangle are congruent to the two corresponding sides of the other triangle, and the remaining angles between them are equal, then these triangles are similar.
Have a nice day
can someone help me plss
Answer:
3 is vertical
1 is same side interior
2 is correspnding
4 is straight angles
Step-by-step explanation:
The area of a square is a function of the length of the side of the square.
Answer: A =a2
Step-by-step explanation:
Given the table below, determine if the data represents a linear or an exponential function and find a possible formula for the function. x 0 1 2 3 4 f(x) 0 2 4 6 8 a. Exponential; y = 1 (1.2) Superscript x c. Exponential; y = 2 (1.1) Superscript x b. Linear; y = 2x d. Linear; y = x
Answer:
Its B
Step-by-step explanation:
If you look at how the chart is flowing, the y values are 2 times the x value.
for example,
1x2=2
2x2=4
3x2=6
and
4x2=8
Therefore, the equation is linear and y=2x
Answer:
b. Linear; y = 2x
Step-by-step explanation:
I just need to drag the degrees to their corresponding parts attached (Angles in Circles) please help I don’t which ones would be correct
9514 1404 393
Answer:
DF = 75°FBE = 105°FC = 60°CBE = 45°DAC = 225°ABE = 135°AFE = 225°ABF = 120°Step-by-step explanation:
AC and DE are diameters, so divide the circle into equal portions that have a total angle measure of 180°.
angle ABD = 180° -angle DBF - angle FBC = 180° -75° -60°
angle ABD = 45°
angle CBE is a vertical angle to angle ABD, so has the same measure, 45°.
angle ABE is supplementary to angle CBE, so has measure 180° -45° = 135°. Long arc AE is 360° less this value, so is 360° -135° = 225°. Vertical angle DBC has the same measure as angle ABE, so long arc DAE will also be 225°.
angles FBC and CDE add to make angle FBE, so that angle is ...
angle FBE = 60° +45° = 105°
Four friends are going to split the cost of a pizza. If p stands for the cost of the pizza, which of the following expressions could represent what each friend will pay? 4p P-4 p/4 p
I dont know this and I dont dint care either
the answers p-4 i took the test its right
PLEASE HELP ASAP PLEASE
Answer:
9
Step-by-step explanation:
Range = Max value - min value
Max value = 6
Min value = -3
Range:
6 - (-3)
6 + 3
9
Answer:
9
Step-by-step explanation:
there are 9 numbers between -3 and 6 ;)
Ryan says that a rectangle is a square because it has 4 right angles. Addy says that a rhombus is a square because it has 4 equal sides. Part A Who is correct? A. Only Addy B. Only Ryan C. Both Ryan and Addy D. Neither Ryan nor Addy Part B How are rectangles and squares related? Use the drop-down menus to complete the explanation. All Choose... are Choose... , but only Choose... with 4 equal sides are Choose...
Answer:
D. Neither Ryan nor Addy
Step-by-step explanation:
Square:
A square is a quadrilateral that has equal sides and all angles equal to 90 degrees.
Rectangle:
A rectangles is a quadrilateral that has equal or unequal sides and all angles equal to 90 degrees. All rectangles are not squares.
Rhombus:
A rhombus is a quadrilateral that has equal sides and all angles may or may not be equal to 90 degrees. All squares are rhombus. But all rhombus are not squares.
As both Ryan and Addy have missed out one property of square therefore both of them are incorrect.
Trisha helped clean up her neighborhood by picking up plastic she collected 3/4 pound of plastic the first day and 1/6 pound of plastic the second day how much more trash did she collect the first day than the second day?
A charity is selling brooms to raise funds. Each box has 10 brooms. Each broom is sold for $ 15 . If the charity earns $ 50 profit for each box of brooms, how much does each box of brooms cost the charity, in dollars?
Answer:
Total cost= $100
Step-by-step explanation:
Giving the following information:
Each box has 10 brooms. Each broom is sold for $ 15
The charity earns $ 50 profit for each box of brooms.
First, we need to calculate the total revenue per box:
Total revenue per box= 10*15= $150
Now, the total cost:
Total cost= total revenue - total income
Total cost= 150 - 50
Total cost= $100
x - 10.2 > 5.3
PLSSSSSS HELP ME SOLVE THIS PROBLEM!!!!...
Answer:
x>15.5
Step-by-step explanation:
x - 10.2 > 5.3
Add 10.2 to both sides
x-10.2+10.2>5.3+10.2
Simplify getting the answer of
x>15.5
50 points plzz help Combine the radicals .
Answer:
D) [tex]-2\sqrt{3}[/tex]
Step-by-step explanation:
[tex]5\sqrt{27} =15\sqrt{3} \\\\15\sqrt{3}-17\sqrt{3} =-2\sqrt{3}[/tex]